%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA153^1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:59:56 AM UTC 2026
% Result : Unsatisfiable 34.43s 5.97s
% Output : Refutation 34.43s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
s: $i > $i ).
thf(func_def_2,type,
r: $i > $i > $o ).
thf(func_def_3,type,
b: $i > $i > $o ).
thf(f1,axiom,
! [X0: $i] :
( ( s @ X0 )
!= z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',snz) ).
thf(f2,axiom,
! [X1: $i,X0: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sinj) ).
thf(f3,axiom,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ri) ).
thf(f4,axiom,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bi) ).
thf(f5,axiom,
! [X0: $i,X1: $i] :
( ( b @ X0 @ X1 )
| ( X0 = X1 )
| ( r @ X0 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rb) ).
thf(f6,axiom,
! [X1: $i,X2: $i,X0: $i,X3: $i] :
( ~ ( r @ X1 @ X2 )
| ~ ( r @ X0 @ X3 )
| ~ ( r @ X0 @ X1 )
| ~ ( r @ X0 @ X2 )
| ~ ( r @ X2 @ X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axr) ).
thf(f7,axiom,
! [X4: $i,X3: $i,X1: $i,X2: $i,X0: $i] :
( ~ ( b @ X1 @ X2 )
| ~ ( b @ X0 @ X2 )
| ~ ( b @ X0 @ X1 )
| ~ ( b @ X3 @ X4 )
| ~ ( b @ X2 @ X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axb) ).
thf(f8,plain,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
inference(rectify,[],[f4]) ).
thf(f9,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f8]) ).
thf(f10,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( b @ X2 @ X3 )
| ~ ( b @ X4 @ X3 )
| ~ ( b @ X4 @ X2 )
| ~ ( b @ X1 @ X0 )
| ~ ( b @ X3 @ X1 ) ),
inference(rectify,[],[f7]) ).
thf(f11,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ X4 @ X3 ) )
| ( ( b @ X4 @ X2 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X3 @ X1 ) ) ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
! [X0: $i,X1: $i] :
( ( b @ X0 @ X1 )
| ( X0 = X1 )
| ( r @ X0 @ X1 ) ),
inference(rectify,[],[f5]) ).
thf(f13,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true ) ),
inference(fool_elimination,[],[f12]) ).
thf(f14,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r @ X0 @ X1 )
| ~ ( r @ X2 @ X3 )
| ~ ( r @ X2 @ X0 )
| ~ ( r @ X2 @ X1 )
| ~ ( r @ X1 @ X3 ) ),
inference(rectify,[],[f6]) ).
thf(f15,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X2 @ X3 )
!= $true )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( $true
!= ( r @ X2 @ X1 ) )
| ( ( r @ X1 @ X3 )
!= $true ) ),
inference(fool_elimination,[],[f14]) ).
thf(f16,plain,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
inference(rectify,[],[f3]) ).
thf(f17,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f16]) ).
thf(f18,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f9]) ).
thf(f19,plain,
! [X1: $i,X3: $i,X2: $i,X0: $i,X4: $i] :
( ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ X4 @ X3 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( ( b @ X4 @ X2 )
!= $true ) ),
inference(flattening,[],[f11]) ).
thf(f20,plain,
! [X3: $i,X0: $i,X2: $i,X1: $i] :
( ( ( r @ X1 @ X3 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( $true
!= ( r @ X2 @ X1 ) )
| ( ( r @ X2 @ X3 )
!= $true ) ),
inference(flattening,[],[f15]) ).
thf(f21,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(rectify,[],[f2]) ).
thf(f22,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f17]) ).
thf(f23,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X4 @ X1 )
!= $true )
| ( ( b @ X0 @ X3 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X4 @ X2 )
!= $true ) ),
inference(rectify,[],[f19]) ).
thf(f24,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( $true
!= ( r @ X3 @ X0 ) )
| ( ( r @ X1 @ X3 )
!= $true )
| ( $true
!= ( r @ X2 @ X1 ) )
| ( ( r @ X2 @ X3 )
!= $true )
| ( $true
!= ( r @ X2 @ X0 ) ) ),
inference(rectify,[],[f20]) ).
thf(f25,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f22]) ).
thf(f26,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f18]) ).
thf(f27,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( b @ X4 @ X2 )
!= $true )
| ( ( b @ X4 @ X1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X0 @ X3 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f28,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f29,plain,
! [X0: $i] :
( ( s @ X0 )
!= z ),
inference(cnf_transformation,[],[f1]) ).
thf(f30,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X3 @ X0 ) )
| ( ( r @ X2 @ X3 )
!= $true )
| ( ( r @ X1 @ X3 )
!= $true )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( $true
!= ( r @ X2 @ X1 ) ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f31,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f21]) ).
thf(f34,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ X0 ) @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) ),
inference(extensionality_resolution,[],[f28,f29]) ).
thf(f35,plain,
! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( b @ z @ ( s @ X0 ) )
= $true ) ),
inference(extensionality_resolution,[],[f28,f29]) ).
thf(f36,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( X0 = X1 )
| ( ( b @ ( s @ X0 ) @ ( s @ X1 ) )
= $true ) ),
inference(extensionality_resolution,[],[f28,f31]) ).
thf(f39,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( X0 = X1 )
| ( ( b @ X3 @ X4 )
!= $true )
| ( $true != $true )
| ( ( b @ X2 @ X3 )
!= $true ) ),
inference(constrained_superposition,[],[f27,f28]) ).
thf(f40,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( b @ X3 @ X4 )
!= $true )
| ( X0 = X1 )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f39]) ).
thf(f41,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ z @ X1 )
!= $true )
| ( ( b @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f27,f34]) ).
thf(f42,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f41]) ).
thf(f48,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X2 @ z )
!= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ X1 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f30,f35]) ).
thf(f49,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( b @ z @ ( s @ X0 ) )
= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X2 @ z )
!= $true ) ),
inference(trivial_inequality_removal,[],[f48]) ).
thf(f53,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) ) )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f36,f31]) ).
thf(f55,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ),
inference(extensionality_resolution,[],[f36,f29]) ).
thf(f56,plain,
! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f36,f29]) ).
thf(f62,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f27,f55]) ).
thf(f63,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f62]) ).
thf(f66,definition,
( spl0_1
<=> ( ( b @ z @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
thf(f67,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| spl0_1 ),
inference(avatar_component_clause,[],[f66]) ).
thf(f72,definition,
( spl0_3
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
thf(f73,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f72]) ).
thf(f75,plain,
( ( $true != $true )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| spl0_1 ),
inference(constrained_superposition,[],[f67,f28]) ).
thf(f76,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| spl0_1 ),
inference(trivial_inequality_removal,[],[f75]) ).
thf(f77,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f76,f29]) ).
thf(f79,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X0 @ z )
!= $true ) )
| spl0_1 ),
inference(constrained_superposition,[],[f30,f77]) ).
thf(f81,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| spl0_1 ),
inference(trivial_inequality_removal,[],[f79]) ).
thf(f96,definition,
( spl0_4
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ z @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
thf(f97,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f96]) ).
thf(f99,definition,
( spl0_5
<=> ( $true
= ( b @ ( s @ z ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
thf(f100,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| spl0_5 ),
inference(avatar_component_clause,[],[f99]) ).
thf(f102,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| spl0_5 ),
inference(constrained_superposition,[],[f100,f34]) ).
thf(f105,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_5 ),
inference(trivial_inequality_removal,[],[f102]) ).
thf(f124,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ z ) ) ),
inference(constrained_superposition,[],[f49,f56]) ).
thf(f125,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
inference(constrained_superposition,[],[f30,f56]) ).
thf(f126,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( $true
= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f124]) ).
thf(f127,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f125]) ).
thf(f128,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( r @ X1 @ z ) ) )
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f126,f105]) ).
thf(f130,definition,
( spl0_6
<=> ! [X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
thf(f131,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f130]) ).
thf(f133,definition,
( spl0_7
<=> ! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
thf(f134,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f133]) ).
thf(f135,plain,
( spl0_6
| spl0_7
| spl0_5 ),
inference(avatar_split_clause,[],[f128,f99,f133,f130]) ).
thf(f137,definition,
( spl0_8
<=> ( $true
= ( r @ ( s @ z ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
thf(f138,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| spl0_8 ),
inference(avatar_component_clause,[],[f137]) ).
thf(f139,plain,
( ~ spl0_8
| spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f126,f133,f130,f137]) ).
thf(f142,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ z @ ( s @ ( s @ X0 ) ) ) ) ),
inference(constrained_superposition,[],[f127,f35]) ).
thf(f146,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ X0 ) ) ) ) ),
inference(trivial_inequality_removal,[],[f142]) ).
thf(f149,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f146,f77]) ).
thf(f151,definition,
( spl0_9
<=> ! [X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
thf(f152,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f151]) ).
thf(f153,plain,
( spl0_7
| spl0_9
| spl0_1 ),
inference(avatar_split_clause,[],[f149,f66,f151,f133]) ).
thf(f178,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_5 ),
inference(constrained_superposition,[],[f100,f34]) ).
thf(f181,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_5 ),
inference(trivial_inequality_removal,[],[f178]) ).
thf(f188,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| spl0_5 ),
inference(constrained_superposition,[],[f30,f181]) ).
thf(f189,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| spl0_5 ),
inference(trivial_inequality_removal,[],[f188]) ).
thf(f190,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| spl0_1
| spl0_5 ),
inference(constrained_superposition,[],[f189,f77]) ).
thf(f193,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| spl0_1
| spl0_5 ),
inference(duplicate_literal_removal,[],[f190]) ).
thf(f194,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| spl0_1
| spl0_5 ),
inference(trivial_inequality_removal,[],[f193]) ).
thf(f206,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ X2 @ X3 )
!= $true ) )
| ~ spl0_7 ),
inference(constrained_superposition,[],[f27,f134]) ).
thf(f207,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f206]) ).
thf(f216,plain,
! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f53,f29]) ).
thf(f217,plain,
! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f53,f29]) ).
thf(f226,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_7 ),
inference(constrained_superposition,[],[f207,f216]) ).
thf(f227,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(constrained_superposition,[],[f63,f216]) ).
thf(f228,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) ),
inference(constrained_superposition,[],[f42,f216]) ).
thf(f229,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) ),
inference(constrained_superposition,[],[f27,f216]) ).
thf(f230,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f226]) ).
thf(f231,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) ),
inference(trivial_inequality_removal,[],[f227]) ).
thf(f232,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f228]) ).
thf(f233,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f229]) ).
thf(f235,definition,
( spl0_11
<=> ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
thf(f236,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f235]) ).
thf(f238,definition,
( spl0_12
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
thf(f239,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_12 ),
inference(avatar_component_clause,[],[f238]) ).
thf(f241,definition,
( spl0_13
<=> ! [X2: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
thf(f242,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f241]) ).
thf(f243,plain,
( spl0_11
| ~ spl0_12
| spl0_13
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f230,f133,f241,f238,f235]) ).
thf(f245,definition,
( spl0_14
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
thf(f246,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f245]) ).
thf(f247,plain,
( spl0_13
| spl0_14
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f231,f238,f245,f241]) ).
thf(f249,definition,
( spl0_15
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
thf(f250,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f249]) ).
thf(f252,definition,
( spl0_16
<=> ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
thf(f253,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_16 ),
inference(avatar_component_clause,[],[f252]) ).
thf(f254,plain,
( spl0_15
| ~ spl0_16
| spl0_13 ),
inference(avatar_split_clause,[],[f232,f241,f252,f249]) ).
thf(f255,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| spl0_16 ),
inference(constrained_superposition,[],[f253,f28]) ).
thf(f256,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_16 ),
inference(trivial_inequality_removal,[],[f255]) ).
thf(f257,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_16 ),
inference(forward_subsumption_resolution,[],[f256,f29]) ).
thf(f258,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ X0 )
!= $true ) )
| spl0_16 ),
inference(constrained_superposition,[],[f127,f257]) ).
thf(f263,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( ( r @ z @ X0 )
!= $true ) )
| spl0_16 ),
inference(trivial_inequality_removal,[],[f258]) ).
thf(f264,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| spl0_1
| spl0_16 ),
inference(forward_subsumption_resolution,[],[f263,f77]) ).
thf(f265,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f238]) ).
thf(f266,plain,
( spl0_12
| spl0_9
| spl0_1
| spl0_16 ),
inference(avatar_split_clause,[],[f264,f252,f66,f151,f238]) ).
thf(f267,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_7
| spl0_12 ),
inference(constrained_superposition,[],[f239,f134]) ).
thf(f269,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_7
| spl0_12 ),
inference(trivial_inequality_removal,[],[f267]) ).
thf(f271,plain,
( $false
| ~ spl0_7
| spl0_12
| spl0_16 ),
inference(forward_subsumption_resolution,[],[f269,f253]) ).
thf(f272,plain,
( ~ spl0_7
| spl0_12
| spl0_16 ),
inference(avatar_contradiction_clause,[],[f271]) ).
thf(f274,definition,
( spl0_17
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
thf(f275,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f274]) ).
thf(f277,definition,
( spl0_18
<=> ( ( s @ z )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
thf(f278,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f277]) ).
thf(f291,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_13 ),
inference(constrained_superposition,[],[f242,f55]) ).
thf(f296,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f291]) ).
thf(f299,definition,
( spl0_19
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
thf(f300,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f299]) ).
thf(f302,definition,
( spl0_20
<=> ! [X0: $i] :
( ( b @ z @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
thf(f303,plain,
( ! [X0: $i] :
( ( b @ z @ X0 )
!= $true )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f302]) ).
thf(f306,definition,
( spl0_21
<=> ! [X0: $i] :
( $true
!= ( b @ ( s @ z ) @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
thf(f307,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f306]) ).
thf(f309,definition,
( spl0_22
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
thf(f310,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f309]) ).
thf(f311,plain,
( spl0_21
| spl0_22
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f296,f241,f309,f306]) ).
thf(f313,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
!= $true ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f131,f56]) ).
thf(f316,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f313]) ).
thf(f334,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ z @ X1 )
!= $true ) ),
inference(constrained_superposition,[],[f233,f34]) ).
thf(f344,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) ),
inference(trivial_inequality_removal,[],[f334]) ).
thf(f346,definition,
( spl0_23
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
thf(f347,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| spl0_23 ),
inference(avatar_component_clause,[],[f346]) ).
thf(f350,definition,
( spl0_24
<=> ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
thf(f351,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| spl0_24 ),
inference(avatar_component_clause,[],[f350]) ).
thf(f352,plain,
( spl0_4
| ~ spl0_24
| spl0_15 ),
inference(avatar_split_clause,[],[f344,f249,f350,f96]) ).
thf(f353,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| spl0_24 ),
inference(constrained_superposition,[],[f351,f34]) ).
thf(f356,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_24 ),
inference(trivial_inequality_removal,[],[f353]) ).
thf(f358,plain,
( spl0_19
| spl0_24 ),
inference(avatar_split_clause,[],[f356,f350,f299]) ).
thf(f419,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f30,f236]) ).
thf(f425,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f419]) ).
thf(f431,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f49,f246]) ).
thf(f434,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f431]) ).
thf(f438,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true ) )
| spl0_1
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f434,f81]) ).
thf(f442,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f425,f35]) ).
thf(f445,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_11 ),
inference(duplicate_literal_removal,[],[f442]) ).
thf(f446,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f445]) ).
thf(f453,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_17 ),
inference(avatar_component_clause,[],[f274]) ).
thf(f491,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f42,f217]) ).
thf(f496,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) ),
inference(trivial_inequality_removal,[],[f491]) ).
thf(f501,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_9
| ~ spl0_22 ),
inference(constrained_superposition,[],[f152,f310]) ).
thf(f502,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| spl0_1
| spl0_5
| ~ spl0_22 ),
inference(constrained_superposition,[],[f194,f310]) ).
thf(f506,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_22 ),
inference(constrained_superposition,[],[f30,f310]) ).
thf(f507,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f506]) ).
thf(f511,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_1
| spl0_5
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f502]) ).
thf(f512,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_9
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f501]) ).
thf(f515,plain,
( $false
| spl0_1
| spl0_5
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f511,f300]) ).
thf(f516,plain,
( spl0_1
| spl0_5
| ~ spl0_19
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f515]) ).
thf(f517,plain,
( $false
| ~ spl0_9
| spl0_16
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f512,f257]) ).
thf(f518,plain,
( ~ spl0_9
| spl0_16
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f517]) ).
thf(f521,definition,
( spl0_27
<=> ! [X0: $i,X1: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
thf(f522,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f521]) ).
thf(f524,definition,
( spl0_28
<=> ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
thf(f525,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_28 ),
inference(avatar_component_clause,[],[f524]) ).
thf(f526,plain,
( spl0_27
| ~ spl0_28
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f446,f235,f524,f521]) ).
thf(f527,plain,
( ~ spl0_28
| ~ spl0_9
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f512,f309,f151,f524]) ).
thf(f533,definition,
( spl0_30
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
thf(f534,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f533]) ).
thf(f535,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f252]) ).
thf(f541,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f137]) ).
thf(f544,definition,
( spl0_32
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( $true
!= ( r @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
thf(f545,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true ) )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f544]) ).
thf(f546,plain,
( spl0_16
| spl0_32
| spl0_1
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f438,f245,f66,f544,f252]) ).
thf(f551,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_28 ),
inference(constrained_superposition,[],[f525,f35]) ).
thf(f552,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_28 ),
inference(trivial_inequality_removal,[],[f551]) ).
thf(f553,plain,
( spl0_16
| spl0_28 ),
inference(avatar_split_clause,[],[f552,f524,f252]) ).
thf(f585,definition,
( spl0_33
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
thf(f586,plain,
( ! [X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f585]) ).
thf(f588,definition,
( spl0_34
<=> ! [X0: $i] :
( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
thf(f589,plain,
( ! [X0: $i] :
( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f588]) ).
thf(f592,definition,
( spl0_35
<=> ! [X0: $i] :
( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
thf(f593,plain,
( ! [X0: $i] :
( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f592]) ).
thf(f595,definition,
( spl0_36
<=> ! [X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
thf(f596,plain,
( ! [X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f595]) ).
thf(f600,definition,
( spl0_37
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
thf(f601,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f600]) ).
thf(f602,plain,
( spl0_37
| spl0_19 ),
inference(avatar_split_clause,[],[f496,f299,f600]) ).
thf(f607,plain,
( ( ( b @ z @ ( s @ z ) )
= $true )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f66]) ).
thf(f614,definition,
( spl0_39
<=> ( $true
= ( r @ z @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
thf(f615,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| spl0_39 ),
inference(avatar_component_clause,[],[f614]) ).
thf(f616,plain,
( spl0_9
| spl0_7
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f146,f614,f133,f151]) ).
thf(f621,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
= $true )
| spl0_39 ),
inference(constrained_superposition,[],[f615,f35]) ).
thf(f622,plain,
( ( ( b @ z @ ( s @ z ) )
= $true )
| spl0_39 ),
inference(trivial_inequality_removal,[],[f621]) ).
thf(f623,plain,
( spl0_1
| spl0_39 ),
inference(avatar_split_clause,[],[f622,f614,f66]) ).
thf(f624,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f27,f607]) ).
thf(f625,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f624]) ).
thf(f626,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_6
| ~ spl0_19 ),
inference(constrained_superposition,[],[f316,f300]) ).
thf(f631,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_6
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f626]) ).
thf(f633,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_1
| ~ spl0_12 ),
inference(constrained_superposition,[],[f625,f265]) ).
thf(f636,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_1
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f633]) ).
thf(f641,definition,
( spl0_40
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
thf(f642,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f641]) ).
thf(f643,plain,
( spl0_40
| spl0_16
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f434,f245,f252,f641]) ).
thf(f644,plain,
( ~ spl0_16
| spl0_13
| ~ spl0_1
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f636,f238,f66,f241,f252]) ).
thf(f647,plain,
( spl0_12
| ~ spl0_6
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f631,f299,f130,f238]) ).
thf(f666,plain,
( ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f56,f278]) ).
thf(f704,definition,
( spl0_43
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
thf(f705,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f704]) ).
thf(f707,definition,
( spl0_44
<=> ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
thf(f708,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f707]) ).
thf(f715,definition,
( spl0_45
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
thf(f716,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f715]) ).
thf(f719,definition,
( spl0_46
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
thf(f720,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f719]) ).
thf(f722,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f666,f25]) ).
thf(f729,plain,
( $false
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f722,f26]) ).
thf(f730,plain,
~ spl0_18,
inference(avatar_contradiction_clause,[],[f729]) ).
thf(f732,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_16 ),
inference(constrained_superposition,[],[f27,f535]) ).
thf(f733,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f732]) ).
thf(f745,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_30 ),
inference(constrained_superposition,[],[f534,f56]) ).
thf(f751,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f745]) ).
thf(f756,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true ) )
| ~ spl0_16 ),
inference(constrained_superposition,[],[f733,f217]) ).
thf(f761,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f756]) ).
thf(f765,plain,
( spl0_37
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f761,f252,f600]) ).
thf(f785,plain,
( spl0_45
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f507,f309,f715]) ).
thf(f794,plain,
( ( $true != $true )
| ~ spl0_1
| ~ spl0_20 ),
inference(constrained_superposition,[],[f303,f607]) ).
thf(f795,plain,
( ( $true != $true )
| ~ spl0_16
| ~ spl0_20 ),
inference(constrained_superposition,[],[f303,f535]) ).
thf(f797,plain,
( $false
| ~ spl0_1
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f794]) ).
thf(f798,plain,
( ~ spl0_1
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f797]) ).
thf(f800,plain,
( $false
| ~ spl0_16
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f795]) ).
thf(f801,plain,
( ~ spl0_16
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f800]) ).
thf(f810,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_45 ),
inference(constrained_superposition,[],[f716,f35]) ).
thf(f812,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_45 ),
inference(constrained_superposition,[],[f716,f56]) ).
thf(f819,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f810]) ).
thf(f820,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_45 ),
inference(duplicate_literal_removal,[],[f812]) ).
thf(f821,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f820]) ).
thf(f860,definition,
( spl0_49
<=> ! [X1: $i] :
( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
thf(f861,plain,
( ! [X1: $i] :
( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f860]) ).
thf(f872,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_49 ),
inference(constrained_superposition,[],[f861,f34]) ).
thf(f873,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_49 ),
inference(constrained_superposition,[],[f861,f217]) ).
thf(f874,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_49 ),
inference(constrained_superposition,[],[f861,f55]) ).
thf(f875,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z = X0 )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_49 ),
inference(constrained_superposition,[],[f861,f53]) ).
thf(f876,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true ) )
| ~ spl0_49 ),
inference(constrained_superposition,[],[f861,f28]) ).
thf(f877,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f874]) ).
thf(f878,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( z = X0 ) )
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f875]) ).
thf(f879,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f876]) ).
thf(f880,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f872]) ).
thf(f881,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f873]) ).
thf(f885,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_49 ),
inference(constrained_superposition,[],[f127,f881]) ).
thf(f886,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_49 ),
inference(constrained_superposition,[],[f49,f881]) ).
thf(f888,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f885]) ).
thf(f892,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f886]) ).
thf(f927,definition,
( spl0_51
<=> ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
thf(f928,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f927]) ).
thf(f938,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_1
| ~ spl0_34 ),
inference(constrained_superposition,[],[f625,f589]) ).
thf(f940,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_34 ),
inference(constrained_superposition,[],[f27,f589]) ).
thf(f941,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_1
| ~ spl0_34 ),
inference(trivial_inequality_removal,[],[f938]) ).
thf(f942,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_34 ),
inference(trivial_inequality_removal,[],[f940]) ).
thf(f944,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_1
| ~ spl0_34
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f941,f593]) ).
thf(f947,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_1
| ~ spl0_34
| ~ spl0_35 ),
inference(constrained_superposition,[],[f944,f34]) ).
thf(f953,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( b @ z @ X1 )
!= $true ) )
| ~ spl0_1
| ~ spl0_34
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f947]) ).
thf(f957,plain,
( spl0_20
| spl0_51
| ~ spl0_1
| ~ spl0_34
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f953,f592,f588,f66,f927,f302]) ).
thf(f965,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true ) )
| ~ spl0_36
| ~ spl0_49 ),
inference(constrained_superposition,[],[f596,f881]) ).
thf(f971,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ~ spl0_36
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f965]) ).
thf(f974,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( z = X0 ) )
| ~ spl0_49 ),
inference(constrained_superposition,[],[f127,f878]) ).
thf(f978,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( z = X0 )
| ( $true
= ( b @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_49 ),
inference(constrained_superposition,[],[f49,f878]) ).
thf(f980,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( z = X0 )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f974]) ).
thf(f985,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( z = X0 )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f978]) ).
thf(f989,definition,
( spl0_53
<=> ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).
thf(f990,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( z = X0 ) )
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f989]) ).
thf(f1038,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ z @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_34 ),
inference(constrained_superposition,[],[f942,f34]) ).
thf(f1045,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_34 ),
inference(trivial_inequality_removal,[],[f1038]) ).
thf(f1048,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) ) )
| ~ spl0_34
| ~ spl0_36
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1045,f971]) ).
thf(f1049,plain,
( ~ spl0_5
| spl0_4
| ~ spl0_34
| ~ spl0_36
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f1048,f860,f595,f588,f96,f99]) ).
thf(f1050,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_1
| ~ spl0_4 ),
inference(constrained_superposition,[],[f97,f607]) ).
thf(f1055,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ~ spl0_1
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f1050]) ).
thf(f1056,plain,
( spl0_21
| ~ spl0_1
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f1055,f96,f66,f306]) ).
thf(f1060,definition,
( spl0_56
<=> ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( b @ z @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
thf(f1061,plain,
( ! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( z = X0 ) )
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f1060]) ).
thf(f1062,plain,
( spl0_56
| ~ spl0_19
| spl0_36
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f985,f860,f595,f299,f1060]) ).
thf(f1065,plain,
( spl0_19
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f880,f860,f299]) ).
thf(f1068,plain,
( spl0_22
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f877,f860,f309]) ).
thf(f1070,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_22 ),
inference(avatar_component_clause,[],[f309]) ).
thf(f1071,plain,
( spl0_53
| ~ spl0_22
| spl0_33
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f980,f860,f585,f309,f989]) ).
thf(f1072,plain,
( ~ spl0_22
| spl0_34
| spl0_33
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f888,f860,f585,f588,f309]) ).
thf(f1078,plain,
( ~ spl0_8
| spl0_12
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f751,f533,f238,f137]) ).
thf(f1080,definition,
( spl0_58
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).
thf(f1081,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f1080]) ).
thf(f1082,plain,
( spl0_12
| spl0_58
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f821,f715,f1080,f238]) ).
thf(f1084,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_21 ),
inference(constrained_superposition,[],[f307,f34]) ).
thf(f1086,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f1084]) ).
thf(f1088,plain,
( spl0_8
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f1086,f306,f137]) ).
thf(f1091,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_16 ),
inference(constrained_superposition,[],[f253,f28]) ).
thf(f1092,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_16 ),
inference(trivial_inequality_removal,[],[f1091]) ).
thf(f1093,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_16 ),
inference(forward_subsumption_resolution,[],[f1092,f29]) ).
thf(f1104,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_19 ),
inference(constrained_superposition,[],[f30,f300]) ).
thf(f1105,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f1104]) ).
thf(f1106,plain,
( $false
| ~ spl0_12
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f265,f307]) ).
thf(f1107,plain,
( ~ spl0_12
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1106]) ).
thf(f1108,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_19
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f892,f300]) ).
thf(f1109,plain,
( spl0_36
| spl0_35
| ~ spl0_19
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f1108,f860,f299,f592,f595]) ).
thf(f1221,definition,
( spl0_59
<=> ! [X0: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).
thf(f1222,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f1221]) ).
thf(f1273,definition,
( spl0_61
<=> ! [X0: $i] :
( ( z = X0 )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).
thf(f1274,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( z = X0 ) )
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f1273]) ).
thf(f1296,definition,
( spl0_62
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).
thf(f1297,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f1296]) ).
thf(f1356,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X1 @ X0 )
!= $true ) )
| ~ spl0_49 ),
inference(constrained_superposition,[],[f30,f879]) ).
thf(f1370,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f1356]) ).
thf(f1381,definition,
( spl0_63
<=> ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( ( b @ z @ ( s @ X0 ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).
thf(f1382,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f1381]) ).
thf(f1389,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X1 )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_49 ),
inference(constrained_superposition,[],[f1370,f35]) ).
thf(f1396,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X1 )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f1389]) ).
thf(f1528,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X2 @ X3 )
!= $true ) )
| ~ spl0_7 ),
inference(constrained_superposition,[],[f27,f134]) ).
thf(f1529,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true ) )
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f1528]) ).
thf(f1530,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ z @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_7 ),
inference(constrained_superposition,[],[f1529,f34]) ).
thf(f1537,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f1530]) ).
thf(f1543,definition,
( spl0_68
<=> ! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
thf(f1544,plain,
( ! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f1543]) ).
thf(f1545,plain,
( ~ spl0_5
| spl0_68
| spl0_4
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f1537,f133,f96,f1543,f99]) ).
thf(f1742,definition,
( spl0_70
<=> ! [X3: $i] :
( ( z = X3 )
| ( $true
= ( r @ z @ X3 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).
thf(f1743,plain,
( ! [X3: $i] :
( ( $true
= ( r @ z @ X3 ) )
| ( z = X3 ) )
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f1742]) ).
thf(f2119,definition,
( spl0_71
<=> ! [X2: $i] : ( z = X2 ) ),
introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).
thf(f2120,plain,
( ! [X2: $i] : ( z = X2 )
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f2119]) ).
thf(f2213,plain,
( ( $true
= ( r @ z @ z ) )
| ( $true
= ( b @ z @ z ) )
| ~ spl0_71 ),
inference(constrained_superposition,[],[f34,f2120]) ).
thf(f2459,definition,
( spl0_80
<=> ! [X2: $i,X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).
thf(f2460,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f2459]) ).
thf(f2461,plain,
( ( $true
= ( b @ ( s @ z ) @ z ) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f99]) ).
thf(f2510,plain,
( ( $true
= ( b @ z @ z ) )
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[],[f2213,f25]) ).
thf(f2539,plain,
( $false
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[],[f2510,f26]) ).
thf(f2540,plain,
~ spl0_71,
inference(avatar_contradiction_clause,[],[f2539]) ).
thf(f2857,definition,
( spl0_81
<=> ! [X1: $i] :
( ( ( s @ ( s @ z ) )
= X1 )
| ( ( r @ z @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).
thf(f2858,plain,
( ! [X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( ( s @ ( s @ z ) )
= X1 ) )
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f2857]) ).
thf(f2879,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( ( b @ z @ ( s @ X0 ) )
= $true )
| ( $true != $true ) )
| ~ spl0_81 ),
inference(constrained_superposition,[],[f2858,f35]) ).
thf(f2880,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_81 ),
inference(trivial_inequality_removal,[],[f2879]) ).
thf(f3655,definition,
( spl0_97
<=> ! [X0: $i] :
( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).
thf(f3656,plain,
( ! [X0: $i] :
( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ~ spl0_97 ),
inference(avatar_component_clause,[],[f3655]) ).
thf(f3975,definition,
( spl0_100
<=> ! [X2: $i,X1: $i] :
( ( X1 = X2 )
| ( ( r @ X1 @ X2 )
= $true )
| ( $true
= ( r @ ( s @ z ) @ X1 ) )
| ( ( s @ z )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).
thf(f3976,plain,
( ! [X2: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ X1 ) )
| ( X1 = X2 )
| ( ( s @ z )
= X1 )
| ( ( r @ X1 @ X2 )
= $true ) )
| ~ spl0_100 ),
inference(avatar_component_clause,[],[f3975]) ).
thf(f5108,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_5 ),
inference(constrained_superposition,[],[f100,f34]) ).
thf(f5110,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_5 ),
inference(trivial_inequality_removal,[],[f5108]) ).
thf(f5112,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f5110,f99,f137]) ).
thf(f5115,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_8 ),
inference(constrained_superposition,[],[f30,f541]) ).
thf(f5117,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f5115]) ).
thf(f5118,plain,
( spl0_80
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f5117,f137,f2459]) ).
thf(f5314,plain,
( spl0_63
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f2880,f2857,f1381]) ).
thf(f5782,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_22
| ~ spl0_36 ),
inference(constrained_superposition,[],[f596,f310]) ).
thf(f5790,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_22
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f5782]) ).
thf(f5795,plain,
( $false
| ~ spl0_8
| ~ spl0_22
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f5790,f541]) ).
thf(f5796,plain,
( ~ spl0_8
| ~ spl0_22
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f5795]) ).
thf(f5807,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( z = X0 ) )
| ~ spl0_3
| ~ spl0_53 ),
inference(constrained_superposition,[],[f73,f990]) ).
thf(f5808,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f73,f28]) ).
thf(f5812,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f5808]) ).
thf(f5815,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( z = X0 ) )
| ~ spl0_3
| ~ spl0_53 ),
inference(trivial_inequality_removal,[],[f5807]) ).
thf(f5837,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( z = X0 )
| ( $true != $true ) )
| ~ spl0_3
| ~ spl0_53 ),
inference(constrained_superposition,[],[f5815,f34]) ).
thf(f5850,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_3
| ~ spl0_53 ),
inference(trivial_inequality_removal,[],[f5837]) ).
thf(f5855,plain,
( spl0_62
| ~ spl0_3
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f5850,f989,f72,f1296]) ).
thf(f6230,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( $true
= ( b @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_80 ),
inference(constrained_superposition,[],[f2460,f36]) ).
thf(f6233,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( z = X0 )
| ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( $true
= ( b @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f6230]) ).
thf(f6502,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X0 )
| ( ( r @ X0 @ X1 )
= $true )
| ( $true != $true )
| ( X0 = X1 )
| ( ( r @ ( s @ z ) @ X0 )
= $true ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f5812,f28]) ).
thf(f6503,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true != $true ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f5812,f34]) ).
thf(f6519,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f6503]) ).
thf(f6523,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
= $true )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( X0 = X1 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f6502]) ).
thf(f6531,plain,
( spl0_100
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f6523,f72,f3975]) ).
thf(f6587,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( s @ X0 )
= X2 )
| ( $true != $true )
| ( ( b @ z @ ( s @ X0 ) )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ X2 ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_100 ),
inference(constrained_superposition,[],[f49,f3976]) ).
thf(f6609,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( s @ X0 )
= X2 )
| ( ( b @ z @ ( s @ X0 ) )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ X2 ) ) )
| ~ spl0_100 ),
inference(trivial_inequality_removal,[],[f6587]) ).
thf(f6614,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( s @ X0 )
= X2 )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( b @ z @ ( s @ X0 ) )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ X2 ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_8
| ~ spl0_100 ),
inference(forward_subsumption_resolution,[],[f6609,f541]) ).
thf(f6616,definition,
( spl0_126
<=> ! [X2: $i,X0: $i] :
( ( ( s @ X0 )
= X2 )
| ( $true
= ( r @ ( s @ X0 ) @ X2 ) )
| ( ( b @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).
thf(f6617,plain,
( ! [X2: $i,X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ X2 ) )
| ( ( s @ X0 )
= X2 )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( b @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f6616]) ).
thf(f6618,plain,
( spl0_6
| spl0_126
| ~ spl0_8
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f6614,f3975,f137,f6616,f130]) ).
thf(f6664,definition,
( spl0_127
<=> ! [X2: $i] :
( ( ( s @ z )
= X2 )
| ( ( r @ ( s @ z ) @ X2 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).
thf(f6665,plain,
( ! [X2: $i] :
( ( ( r @ ( s @ z ) @ X2 )
= $true )
| ( ( s @ z )
= X2 ) )
| ~ spl0_127 ),
inference(avatar_component_clause,[],[f6664]) ).
thf(f6947,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_17
| ~ spl0_127 ),
inference(constrained_superposition,[],[f453,f6665]) ).
thf(f6968,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_17
| ~ spl0_127 ),
inference(trivial_inequality_removal,[],[f6947]) ).
thf(f6984,plain,
( spl0_18
| spl0_17
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f6968,f6664,f274,f277]) ).
thf(f6989,definition,
( spl0_138
<=> ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).
thf(f6990,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_138 ),
inference(avatar_component_clause,[],[f6989]) ).
thf(f7004,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( ( b @ z @ ( s @ X0 ) )
= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f49,f6519]) ).
thf(f7023,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f7004]) ).
thf(f7036,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( ( b @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f7023,f541]) ).
thf(f7038,definition,
( spl0_141
<=> ! [X0: $i] :
( ( ( b @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).
thf(f7039,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_141 ),
inference(avatar_component_clause,[],[f7038]) ).
thf(f7040,plain,
( spl0_141
| spl0_6
| ~ spl0_3
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f7036,f137,f72,f130,f7038]) ).
thf(f7282,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_15 ),
inference(constrained_superposition,[],[f30,f250]) ).
thf(f7284,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f7282]) ).
thf(f11094,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ X3 ) @ X2 )
!= $true )
| ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ z @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ z @ ( s @ X3 ) )
= $true ) ),
inference(extensionality_resolution,[],[f40,f29]) ).
thf(f11095,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( r @ X0 @ X1 )
= $true )
| ( X2 = X3 )
| ( X0 = X1 )
| ( ( r @ X2 @ X3 )
= $true )
| ( $true
!= ( b @ X4 @ X0 ) )
| ( $true
!= ( b @ X2 @ X4 ) )
| ( ( b @ X3 @ X4 )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f40,f28]) ).
thf(f11103,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true ) )
| ~ spl0_12 ),
inference(constrained_superposition,[],[f40,f265]) ).
thf(f11108,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true != $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f40,f607]) ).
thf(f11120,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
!= ( b @ X4 @ X0 ) )
| ( ( r @ X2 @ X3 )
= $true )
| ( $true
!= ( b @ X2 @ X4 ) )
| ( X2 = X3 )
| ( X0 = X1 )
| ( ( b @ X3 @ X4 )
!= $true )
| ( ( r @ X0 @ X1 )
= $true ) ),
inference(trivial_inequality_removal,[],[f11095]) ).
thf(f11131,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f11108]) ).
thf(f11142,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( X0 = X1 )
| ( ( b @ X2 @ ( s @ z ) )
!= $true ) )
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f11103]) ).
thf(f11144,definition,
( spl0_182
<=> ! [X2: $i,X1: $i,X3: $i] :
( ( ( r @ X1 @ X2 )
= $true )
| ( X1 = X2 )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X3 @ z )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_182])],[avatar_definition]) ).
thf(f11145,plain,
( ! [X2: $i,X3: $i,X1: $i] :
( ( ( b @ X3 @ z )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( X1 = X2 )
| ( ( r @ X1 @ X2 )
= $true )
| ( ( b @ X2 @ X3 )
!= $true ) )
| ~ spl0_182 ),
inference(avatar_component_clause,[],[f11144]) ).
thf(f11163,plain,
( spl0_182
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f11131,f66,f11144]) ).
thf(f11166,definition,
( spl0_186
<=> ! [X2: $i,X1: $i,X3: $i] :
( ( ( b @ X1 @ X3 )
!= $true )
| ( $true
!= ( b @ X3 @ ( s @ z ) ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( r @ X1 @ X2 )
= $true )
| ( X1 = X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_186])],[avatar_definition]) ).
thf(f11167,plain,
( ! [X2: $i,X3: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ ( s @ z ) ) )
| ( ( b @ X1 @ X3 )
!= $true )
| ( X1 = X2 )
| ( ( r @ X1 @ X2 )
= $true )
| ( ( b @ X2 @ X3 )
!= $true ) )
| ~ spl0_186 ),
inference(avatar_component_clause,[],[f11166]) ).
thf(f11170,plain,
( spl0_186
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f11142,f238,f11166]) ).
thf(f11204,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X1 ) @ X0 ) )
| ( ( b @ X0 @ z )
!= $true )
| ( ( r @ z @ ( s @ X1 ) )
= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_182 ),
inference(extensionality_resolution,[],[f11145,f29]) ).
thf(f11205,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( X1 = X2 )
| ( ( r @ X1 @ X2 )
= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( z = X0 )
| ( $true != $true )
| ( ( b @ X2 @ X0 )
!= $true )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_182 ),
inference(constrained_superposition,[],[f11145,f28]) ).
thf(f11206,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ X1 @ X2 )
= $true )
| ( X1 = X2 )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) ) )
| ~ spl0_182 ),
inference(constrained_superposition,[],[f11145,f34]) ).
thf(f11207,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X0 )
!= $true )
| ( z = X0 )
| ( ( r @ X1 @ X2 )
= $true )
| ( ( r @ X0 @ z )
= $true )
| ( X1 = X2 )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_182 ),
inference(trivial_inequality_removal,[],[f11205]) ).
thf(f11208,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ X0 ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ X1 @ X2 )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( X1 = X2 ) )
| ~ spl0_182 ),
inference(trivial_inequality_removal,[],[f11206]) ).
thf(f11279,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ X1 @ z ) )
| ( z = X1 )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_68
| ~ spl0_182 ),
inference(constrained_superposition,[],[f11207,f1544]) ).
thf(f11283,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( z = X1 )
| ( ( s @ X0 )
= z )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
= ( r @ X1 @ z ) )
| ( $true != $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_141
| ~ spl0_182 ),
inference(constrained_superposition,[],[f11207,f7039]) ).
thf(f11288,plain,
( ! [X0: $i,X1: $i] :
( ( z = X1 )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true
= ( r @ X1 @ z ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_68
| ~ spl0_182 ),
inference(duplicate_literal_removal,[],[f11279]) ).
thf(f11289,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( z = X1 )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ X1 @ z ) ) )
| ~ spl0_68
| ~ spl0_182 ),
inference(trivial_inequality_removal,[],[f11288]) ).
thf(f11293,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( z = X1 )
| ( $true
= ( r @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true != $true )
| ( ( s @ X0 )
= z ) )
| ~ spl0_141
| ~ spl0_182 ),
inference(duplicate_literal_removal,[],[f11283]) ).
thf(f11294,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= z )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( z = X1 )
| ( $true
= ( r @ X1 @ z ) ) )
| ~ spl0_141
| ~ spl0_182 ),
inference(trivial_inequality_removal,[],[f11293]) ).
thf(f11312,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( z = X1 )
| ( $true
= ( r @ X1 @ z ) ) )
| ~ spl0_68
| ~ spl0_182 ),
inference(forward_subsumption_resolution,[],[f11289,f29]) ).
thf(f11313,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( z = X1 )
| ( $true
= ( r @ X1 @ z ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_141
| ~ spl0_182 ),
inference(forward_subsumption_resolution,[],[f11294,f29]) ).
thf(f11347,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( X0 = X1 )
| ( $true != $true )
| ( ( r @ X1 @ X0 )
= $true ) )
| ~ spl0_1
| ~ spl0_186 ),
inference(constrained_superposition,[],[f11167,f607]) ).
thf(f11353,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( r @ X1 @ X0 )
= $true )
| ( X0 = X1 )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_1
| ~ spl0_186 ),
inference(trivial_inequality_removal,[],[f11347]) ).
thf(f11358,definition,
( spl0_188
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ X0 )
= $true )
| ( X0 = X1 )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_188])],[avatar_definition]) ).
thf(f11359,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( r @ X1 @ X0 )
= $true )
| ( X0 = X1 )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_188 ),
inference(avatar_component_clause,[],[f11358]) ).
thf(f11414,plain,
( spl0_188
| ~ spl0_1
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f11353,f11166,f66,f11358]) ).
thf(f11415,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( ( b @ ( s @ X1 ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( X0 = X1 ) )
| ~ spl0_188 ),
inference(extensionality_resolution,[],[f11359,f31]) ).
thf(f11621,definition,
( spl0_198
<=> ! [X0: $i] :
( ( ( r @ X0 @ z )
= $true )
| ( z = X0 )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_198])],[avatar_definition]) ).
thf(f11622,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_198 ),
inference(avatar_component_clause,[],[f11621]) ).
thf(f11670,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
= $true )
| ( z
= ( s @ z ) )
| ( z = X0 )
| ( $true != $true ) )
| spl0_8
| ~ spl0_100 ),
inference(constrained_superposition,[],[f138,f3976]) ).
thf(f11671,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( z
= ( s @ z ) )
| ( ( r @ z @ X0 )
= $true ) )
| spl0_8
| ~ spl0_100 ),
inference(trivial_inequality_removal,[],[f11670]) ).
thf(f11673,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
= $true )
| ( z = X0 ) )
| spl0_8
| ~ spl0_100 ),
inference(forward_subsumption_resolution,[],[f11671,f29]) ).
thf(f11674,plain,
( spl0_70
| spl0_8
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f11673,f3975,f137,f1742]) ).
thf(f11773,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( ( s @ z )
= X0 )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f73,f28]) ).
thf(f11776,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f11773]) ).
thf(f11955,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ z @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( z = X0 )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_56 ),
inference(constrained_superposition,[],[f27,f1061]) ).
thf(f11956,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( z = X0 ) )
| ~ spl0_56 ),
inference(trivial_inequality_removal,[],[f11955]) ).
thf(f11961,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( z = X0 ) )
| ~ spl0_56 ),
inference(constrained_superposition,[],[f11956,f55]) ).
thf(f11975,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( z = X0 )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_56 ),
inference(trivial_inequality_removal,[],[f11961]) ).
thf(f12322,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( $true != $true ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f11776,f34]) ).
thf(f12350,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f12322]) ).
thf(f13504,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( X0 = X1 )
| ( ( b @ ( s @ X1 ) @ z )
!= $true ) )
| ~ spl0_188 ),
inference(constrained_superposition,[],[f11415,f34]) ).
thf(f13506,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X1 ) @ z )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( X0 = X1 ) )
| ~ spl0_188 ),
inference(trivial_inequality_removal,[],[f13504]) ).
thf(f13513,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( $true
= ( r @ ( s @ X1 ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_188 ),
inference(constrained_superposition,[],[f13506,f34]) ).
thf(f13515,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ ( s @ X0 ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( X0 = X1 ) )
| ~ spl0_188 ),
inference(trivial_inequality_removal,[],[f13513]) ).
thf(f14139,definition,
( spl0_224
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_224])],[avatar_definition]) ).
thf(f14140,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_224 ),
inference(avatar_component_clause,[],[f14139]) ).
thf(f14149,definition,
( spl0_227
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_227])],[avatar_definition]) ).
thf(f14150,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_227 ),
inference(avatar_component_clause,[],[f14149]) ).
thf(f14172,definition,
( spl0_231
<=> ! [X2: $i,X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_231])],[avatar_definition]) ).
thf(f14173,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_231 ),
inference(avatar_component_clause,[],[f14172]) ).
thf(f14210,definition,
( spl0_236
<=> ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_236])],[avatar_definition]) ).
thf(f14211,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_236 ),
inference(avatar_component_clause,[],[f14210]) ).
thf(f14292,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ z @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_15
| ~ spl0_236 ),
inference(constrained_superposition,[],[f7284,f14211]) ).
thf(f14298,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_236 ),
inference(constrained_superposition,[],[f30,f14211]) ).
thf(f14299,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_15
| ~ spl0_236 ),
inference(trivial_inequality_removal,[],[f14292]) ).
thf(f14306,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_236 ),
inference(trivial_inequality_removal,[],[f14298]) ).
thf(f14310,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ z @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_15
| spl0_16
| ~ spl0_236 ),
inference(forward_subsumption_resolution,[],[f14299,f1093]) ).
thf(f14312,definition,
( spl0_243
<=> ! [X0: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_243])],[avatar_definition]) ).
thf(f14313,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_243 ),
inference(avatar_component_clause,[],[f14312]) ).
thf(f14315,definition,
( spl0_244
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_244])],[avatar_definition]) ).
thf(f14316,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_244 ),
inference(avatar_component_clause,[],[f14315]) ).
thf(f14317,plain,
( spl0_243
| spl0_244
| ~ spl0_15
| spl0_16
| ~ spl0_236 ),
inference(avatar_split_clause,[],[f14310,f14210,f252,f249,f14315,f14312]) ).
thf(f14323,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_244 ),
inference(constrained_superposition,[],[f30,f14316]) ).
thf(f14324,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_244 ),
inference(trivial_inequality_removal,[],[f14323]) ).
thf(f14330,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_15
| spl0_227 ),
inference(constrained_superposition,[],[f14150,f250]) ).
thf(f14338,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_15
| spl0_227 ),
inference(trivial_inequality_removal,[],[f14330]) ).
thf(f14347,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_236 ),
inference(constrained_superposition,[],[f14306,f56]) ).
thf(f14348,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_49
| ~ spl0_236 ),
inference(constrained_superposition,[],[f14306,f881]) ).
thf(f14380,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_236 ),
inference(trivial_inequality_removal,[],[f14347]) ).
thf(f14390,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_49
| ~ spl0_236 ),
inference(trivial_inequality_removal,[],[f14348]) ).
thf(f14407,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_8
| ~ spl0_236 ),
inference(forward_subsumption_resolution,[],[f14380,f541]) ).
thf(f14417,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_19
| ~ spl0_49
| ~ spl0_236 ),
inference(forward_subsumption_resolution,[],[f14390,f300]) ).
thf(f14423,definition,
( spl0_248
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_248])],[avatar_definition]) ).
thf(f14424,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_248 ),
inference(avatar_component_clause,[],[f14423]) ).
thf(f14439,definition,
( spl0_251
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_251])],[avatar_definition]) ).
thf(f14440,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_251 ),
inference(avatar_component_clause,[],[f14439]) ).
thf(f14441,plain,
( spl0_6
| spl0_251
| ~ spl0_8
| ~ spl0_236 ),
inference(avatar_split_clause,[],[f14407,f14210,f137,f14439,f130]) ).
thf(f14446,plain,
( spl0_36
| ~ spl0_19
| ~ spl0_49
| ~ spl0_236 ),
inference(avatar_split_clause,[],[f14417,f14210,f860,f299,f595]) ).
thf(f14455,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_244 ),
inference(constrained_superposition,[],[f14324,f56]) ).
thf(f14473,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_244 ),
inference(trivial_inequality_removal,[],[f14455]) ).
thf(f14499,definition,
( spl0_252
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_252])],[avatar_definition]) ).
thf(f14500,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_252 ),
inference(avatar_component_clause,[],[f14499]) ).
thf(f14501,plain,
( spl0_251
| spl0_252
| ~ spl0_244 ),
inference(avatar_split_clause,[],[f14473,f14315,f14499,f14439]) ).
thf(f14522,definition,
( spl0_255
<=> ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_255])],[avatar_definition]) ).
thf(f14523,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_255 ),
inference(avatar_component_clause,[],[f14522]) ).
thf(f14530,plain,
( spl0_244
| ~ spl0_15
| spl0_227 ),
inference(avatar_split_clause,[],[f14338,f14149,f249,f14315]) ).
thf(f16034,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_236 ),
inference(avatar_component_clause,[],[f14210]) ).
thf(f16174,definition,
( spl0_285
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_285])],[avatar_definition]) ).
thf(f16175,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_285 ),
inference(avatar_component_clause,[],[f16174]) ).
thf(f16196,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_236 ),
inference(constrained_superposition,[],[f16034,f35]) ).
thf(f16197,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_236 ),
inference(trivial_inequality_removal,[],[f16196]) ).
thf(f16201,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| spl0_285 ),
inference(constrained_superposition,[],[f16175,f34]) ).
thf(f16203,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_285 ),
inference(trivial_inequality_removal,[],[f16201]) ).
thf(f16205,plain,
( spl0_244
| spl0_285 ),
inference(avatar_split_clause,[],[f16203,f16174,f14315]) ).
thf(f16214,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_224 ),
inference(constrained_superposition,[],[f216,f14140]) ).
thf(f16423,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_224 ),
inference(forward_subsumption_resolution,[],[f16214,f25]) ).
thf(f16457,plain,
( $false
| ~ spl0_224 ),
inference(forward_subsumption_resolution,[],[f16423,f26]) ).
thf(f16458,plain,
~ spl0_224,
inference(avatar_contradiction_clause,[],[f16457]) ).
thf(f16499,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_49
| ~ spl0_252 ),
inference(constrained_superposition,[],[f14500,f879]) ).
thf(f16521,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_49
| ~ spl0_252 ),
inference(trivial_inequality_removal,[],[f16499]) ).
thf(f16533,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_19
| ~ spl0_49
| ~ spl0_252 ),
inference(forward_subsumption_resolution,[],[f16521,f300]) ).
thf(f16543,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_19
| ~ spl0_22
| ~ spl0_49
| ~ spl0_252 ),
inference(forward_subsumption_resolution,[],[f16533,f310]) ).
thf(f16546,plain,
( spl0_224
| ~ spl0_19
| ~ spl0_22
| ~ spl0_49
| ~ spl0_252 ),
inference(avatar_split_clause,[],[f16543,f14499,f860,f309,f299,f14139]) ).
thf(f20200,definition,
( spl0_339
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_339])],[avatar_definition]) ).
thf(f20201,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_339 ),
inference(avatar_component_clause,[],[f20200]) ).
thf(f20224,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_244 ),
inference(avatar_component_clause,[],[f14315]) ).
thf(f22696,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( z = X0 )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_1
| ~ spl0_182 ),
inference(constrained_superposition,[],[f11208,f607]) ).
thf(f22716,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
= $true )
| ( z = X0 )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_1
| ~ spl0_182 ),
inference(trivial_inequality_removal,[],[f22696]) ).
thf(f23447,definition,
( spl0_368
<=> ! [X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_368])],[avatar_definition]) ).
thf(f23448,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_368 ),
inference(avatar_component_clause,[],[f23447]) ).
thf(f23450,definition,
( spl0_369
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_369])],[avatar_definition]) ).
thf(f23451,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_369 ),
inference(avatar_component_clause,[],[f23450]) ).
thf(f23492,definition,
( spl0_375
<=> ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_375])],[avatar_definition]) ).
thf(f23493,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_375 ),
inference(avatar_component_clause,[],[f23492]) ).
thf(f23511,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_369 ),
inference(constrained_superposition,[],[f23451,f56]) ).
thf(f23514,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_3
| spl0_369 ),
inference(constrained_superposition,[],[f23451,f12350]) ).
thf(f23559,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_369 ),
inference(trivial_inequality_removal,[],[f23511]) ).
thf(f23560,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_3
| spl0_369 ),
inference(trivial_inequality_removal,[],[f23514]) ).
thf(f23584,plain,
( spl0_251
| spl0_369 ),
inference(avatar_split_clause,[],[f23559,f23450,f14439]) ).
thf(f23585,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_3
| spl0_244
| spl0_369 ),
inference(forward_subsumption_resolution,[],[f23560,f20224]) ).
thf(f23600,plain,
( spl0_248
| ~ spl0_3
| spl0_244
| spl0_369 ),
inference(avatar_split_clause,[],[f23585,f23450,f14315,f72,f14423]) ).
thf(f23626,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_375 ),
inference(constrained_superposition,[],[f23493,f56]) ).
thf(f23642,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_3
| ~ spl0_375 ),
inference(constrained_superposition,[],[f23493,f12350]) ).
thf(f23667,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_375 ),
inference(trivial_inequality_removal,[],[f23626]) ).
thf(f23673,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_375 ),
inference(trivial_inequality_removal,[],[f23642]) ).
thf(f23713,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_22
| ~ spl0_375 ),
inference(forward_subsumption_resolution,[],[f23667,f310]) ).
thf(f23722,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_22
| ~ spl0_375 ),
inference(forward_subsumption_resolution,[],[f23673,f310]) ).
thf(f23758,plain,
( spl0_251
| ~ spl0_22
| ~ spl0_375 ),
inference(avatar_split_clause,[],[f23713,f23492,f309,f14439]) ).
thf(f23762,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_22
| spl0_244
| ~ spl0_375 ),
inference(forward_subsumption_resolution,[],[f23722,f20224]) ).
thf(f23782,plain,
( spl0_248
| ~ spl0_3
| ~ spl0_22
| spl0_244
| ~ spl0_375 ),
inference(avatar_split_clause,[],[f23762,f23492,f14315,f309,f72,f14423]) ).
thf(f24157,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z = X0 )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( $true
= ( b @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_22
| ~ spl0_80 ),
inference(constrained_superposition,[],[f6233,f310]) ).
thf(f24167,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( $true
= ( b @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X0 ) )
| ~ spl0_22
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f24157]) ).
thf(f24177,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( $true
= ( b @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_19
| ~ spl0_22
| ~ spl0_80 ),
inference(forward_subsumption_resolution,[],[f24167,f300]) ).
thf(f24182,definition,
( spl0_383
<=> ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( b @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_383])],[avatar_definition]) ).
thf(f24183,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( z = X0 )
| ( $true
= ( b @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_383 ),
inference(avatar_component_clause,[],[f24182]) ).
thf(f24185,plain,
( spl0_383
| ~ spl0_19
| ~ spl0_22
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f24177,f2459,f309,f299,f24182]) ).
thf(f24198,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( $true != $true ) )
| ~ spl0_49
| ~ spl0_383 ),
inference(constrained_superposition,[],[f24183,f881]) ).
thf(f24229,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ X0 ) ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_49
| ~ spl0_383 ),
inference(trivial_inequality_removal,[],[f24198]) ).
thf(f25652,plain,
( ( ( s @ ( s @ z ) )
!= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_224 ),
inference(avatar_component_clause,[],[f14139]) ).
thf(f25660,plain,
( ( ( s @ z )
!= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_248 ),
inference(avatar_component_clause,[],[f14423]) ).
thf(f25814,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_188
| spl0_224 ),
inference(extensionality_resolution,[],[f13515,f25652]) ).
thf(f25815,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_188
| spl0_224 ),
inference(extensionality_resolution,[],[f13515,f25652]) ).
thf(f25830,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 )
!= $true )
| ( ( b @ X2 @ X0 )
!= $true ) )
| spl0_224 ),
inference(extensionality_resolution,[],[f40,f25652]) ).
thf(f25832,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_224 ),
inference(extensionality_resolution,[],[f53,f25652]) ).
thf(f25833,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_224 ),
inference(extensionality_resolution,[],[f53,f25652]) ).
thf(f25834,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_224 ),
inference(extensionality_resolution,[],[f36,f25652]) ).
thf(f25835,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_224 ),
inference(extensionality_resolution,[],[f36,f25652]) ).
thf(f25839,definition,
( spl0_421
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_421])],[avatar_definition]) ).
thf(f25840,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_421 ),
inference(avatar_component_clause,[],[f25839]) ).
thf(f25842,definition,
( spl0_422
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_422])],[avatar_definition]) ).
thf(f25843,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_422 ),
inference(avatar_component_clause,[],[f25842]) ).
thf(f25844,plain,
( spl0_421
| spl0_422
| spl0_224 ),
inference(avatar_split_clause,[],[f25834,f14139,f25842,f25839]) ).
thf(f25846,definition,
( spl0_423
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_423])],[avatar_definition]) ).
thf(f25847,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_423 ),
inference(avatar_component_clause,[],[f25846]) ).
thf(f25849,definition,
( spl0_424
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_424])],[avatar_definition]) ).
thf(f25850,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_424 ),
inference(avatar_component_clause,[],[f25849]) ).
thf(f25851,plain,
( spl0_423
| spl0_424
| spl0_224 ),
inference(avatar_split_clause,[],[f25835,f14139,f25849,f25846]) ).
thf(f25854,definition,
( spl0_425
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_425])],[avatar_definition]) ).
thf(f25855,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_425 ),
inference(avatar_component_clause,[],[f25854]) ).
thf(f25857,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_188
| spl0_224
| spl0_244 ),
inference(forward_subsumption_resolution,[],[f25814,f20224]) ).
thf(f25859,definition,
( spl0_426
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_426])],[avatar_definition]) ).
thf(f25860,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| spl0_426 ),
inference(avatar_component_clause,[],[f25859]) ).
thf(f25868,definition,
( spl0_428
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_428])],[avatar_definition]) ).
thf(f25869,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_428 ),
inference(avatar_component_clause,[],[f25868]) ).
thf(f25871,definition,
( spl0_429
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_429])],[avatar_definition]) ).
thf(f25872,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_429 ),
inference(avatar_component_clause,[],[f25871]) ).
thf(f25873,plain,
( spl0_428
| spl0_429
| spl0_224 ),
inference(avatar_split_clause,[],[f25832,f14139,f25871,f25868]) ).
thf(f25875,definition,
( spl0_430
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_430])],[avatar_definition]) ).
thf(f25876,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_430 ),
inference(avatar_component_clause,[],[f25875]) ).
thf(f25878,definition,
( spl0_431
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_431])],[avatar_definition]) ).
thf(f25879,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_431 ),
inference(avatar_component_clause,[],[f25878]) ).
thf(f25880,plain,
( spl0_430
| spl0_431
| spl0_224 ),
inference(avatar_split_clause,[],[f25833,f14139,f25878,f25875]) ).
thf(f25881,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_188
| spl0_224
| spl0_244 ),
inference(forward_subsumption_resolution,[],[f25815,f20224]) ).
thf(f25884,plain,
( spl0_425
| spl0_423
| ~ spl0_188
| spl0_224
| spl0_244 ),
inference(avatar_split_clause,[],[f25857,f14315,f14139,f11358,f25846,f25854]) ).
thf(f25885,plain,
( spl0_425
| spl0_422
| ~ spl0_188
| spl0_224
| spl0_244 ),
inference(avatar_split_clause,[],[f25881,f14315,f14139,f11358,f25842,f25854]) ).
thf(f25902,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| spl0_426 ),
inference(constrained_superposition,[],[f25860,f34]) ).
thf(f25904,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| spl0_426 ),
inference(trivial_inequality_removal,[],[f25902]) ).
thf(f26067,definition,
( spl0_433
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_433])],[avatar_definition]) ).
thf(f26068,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_433 ),
inference(avatar_component_clause,[],[f26067]) ).
thf(f26083,definition,
( spl0_435
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_435])],[avatar_definition]) ).
thf(f26084,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_435 ),
inference(avatar_component_clause,[],[f26083]) ).
thf(f26115,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_422 ),
inference(constrained_superposition,[],[f30,f25843]) ).
thf(f26116,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_422 ),
inference(trivial_inequality_removal,[],[f26115]) ).
thf(f26278,definition,
( spl0_438
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_438])],[avatar_definition]) ).
thf(f26279,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_438 ),
inference(avatar_component_clause,[],[f26278]) ).
thf(f26326,definition,
( spl0_439
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_439])],[avatar_definition]) ).
thf(f26327,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_439 ),
inference(avatar_component_clause,[],[f26326]) ).
thf(f26329,definition,
( spl0_440
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_440])],[avatar_definition]) ).
thf(f26330,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_440 ),
inference(avatar_component_clause,[],[f26329]) ).
thf(f26496,definition,
( spl0_444
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_444])],[avatar_definition]) ).
thf(f26497,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_444 ),
inference(avatar_component_clause,[],[f26496]) ).
thf(f26509,definition,
( spl0_446
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_446])],[avatar_definition]) ).
thf(f26510,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_446 ),
inference(avatar_component_clause,[],[f26509]) ).
thf(f26514,definition,
( spl0_447
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_447])],[avatar_definition]) ).
thf(f26515,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_447 ),
inference(avatar_component_clause,[],[f26514]) ).
thf(f26523,definition,
( spl0_449
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_449])],[avatar_definition]) ).
thf(f26524,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_449 ),
inference(avatar_component_clause,[],[f26523]) ).
thf(f26570,definition,
( spl0_451
<=> ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_451])],[avatar_definition]) ).
thf(f26571,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_451 ),
inference(avatar_component_clause,[],[f26570]) ).
thf(f26606,plain,
( spl0_425
| spl0_426 ),
inference(avatar_split_clause,[],[f25904,f25859,f25854]) ).
thf(f26613,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_425 ),
inference(constrained_superposition,[],[f30,f25855]) ).
thf(f26619,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 )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_425 ),
inference(trivial_inequality_removal,[],[f26613]) ).
thf(f26639,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) )
| ~ spl0_447 ),
inference(constrained_superposition,[],[f26515,f34]) ).
thf(f26654,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) )
| ~ spl0_447 ),
inference(trivial_inequality_removal,[],[f26639]) ).
thf(f26669,plain,
( spl0_20
| spl0_444
| ~ spl0_447 ),
inference(avatar_split_clause,[],[f26654,f26514,f26496,f302]) ).
thf(f26746,definition,
( spl0_454
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_454])],[avatar_definition]) ).
thf(f26747,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_454 ),
inference(avatar_component_clause,[],[f26746]) ).
thf(f26749,definition,
( spl0_455
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_455])],[avatar_definition]) ).
thf(f26750,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_455 ),
inference(avatar_component_clause,[],[f26749]) ).
thf(f26819,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_425 ),
inference(constrained_superposition,[],[f26619,f56]) ).
thf(f26820,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_49
| ~ spl0_425 ),
inference(constrained_superposition,[],[f26619,f881]) ).
thf(f26880,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_425 ),
inference(trivial_inequality_removal,[],[f26819]) ).
thf(f26895,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_49
| ~ spl0_425 ),
inference(trivial_inequality_removal,[],[f26820]) ).
thf(f26928,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_8
| ~ spl0_425 ),
inference(forward_subsumption_resolution,[],[f26880,f541]) ).
thf(f26945,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_19
| ~ spl0_49
| ~ spl0_425 ),
inference(forward_subsumption_resolution,[],[f26895,f300]) ).
thf(f26973,definition,
( spl0_462
<=> ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_462])],[avatar_definition]) ).
thf(f26974,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_462 ),
inference(avatar_component_clause,[],[f26973]) ).
thf(f26986,definition,
( spl0_465
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_465])],[avatar_definition]) ).
thf(f26987,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_465 ),
inference(avatar_component_clause,[],[f26986]) ).
thf(f26988,plain,
( spl0_465
| spl0_462
| ~ spl0_8
| ~ spl0_425 ),
inference(avatar_split_clause,[],[f26928,f25854,f137,f26973,f26986]) ).
thf(f26993,definition,
( spl0_466
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_466])],[avatar_definition]) ).
thf(f26994,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_466 ),
inference(avatar_component_clause,[],[f26993]) ).
thf(f26997,plain,
( spl0_466
| ~ spl0_19
| ~ spl0_49
| ~ spl0_425 ),
inference(avatar_split_clause,[],[f26945,f25854,f860,f299,f26993]) ).
thf(f27025,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_422
| ~ spl0_462 ),
inference(constrained_superposition,[],[f26974,f25843]) ).
thf(f27118,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_422
| ~ spl0_462 ),
inference(trivial_inequality_removal,[],[f27025]) ).
thf(f27166,plain,
( ~ spl0_369
| ~ spl0_422
| ~ spl0_462 ),
inference(avatar_split_clause,[],[f27118,f26973,f25842,f23450]) ).
thf(f27202,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| spl0_444 ),
inference(avatar_component_clause,[],[f26496]) ).
thf(f27203,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| spl0_425 ),
inference(avatar_component_clause,[],[f25854]) ).
thf(f27249,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_466 ),
inference(constrained_superposition,[],[f26994,f56]) ).
thf(f27254,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_422
| ~ spl0_466 ),
inference(constrained_superposition,[],[f26994,f25843]) ).
thf(f27334,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_466 ),
inference(trivial_inequality_removal,[],[f27249]) ).
thf(f27336,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_422
| ~ spl0_466 ),
inference(trivial_inequality_removal,[],[f27254]) ).
thf(f27402,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_22
| ~ spl0_466 ),
inference(forward_subsumption_resolution,[],[f27334,f310]) ).
thf(f27404,plain,
( $false
| ~ spl0_49
| ~ spl0_422
| ~ spl0_466 ),
inference(forward_subsumption_resolution,[],[f27336,f881]) ).
thf(f27405,plain,
( ~ spl0_49
| ~ spl0_422
| ~ spl0_466 ),
inference(avatar_contradiction_clause,[],[f27404]) ).
thf(f27446,plain,
( spl0_465
| ~ spl0_22
| ~ spl0_466 ),
inference(avatar_split_clause,[],[f27402,f26993,f309,f26986]) ).
thf(f27718,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_422
| ~ spl0_430 ),
inference(constrained_superposition,[],[f26116,f25876]) ).
thf(f27757,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_49
| ~ spl0_422 ),
inference(constrained_superposition,[],[f26116,f879]) ).
thf(f27801,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_49
| ~ spl0_422 ),
inference(trivial_inequality_removal,[],[f27757]) ).
thf(f27809,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_422
| ~ spl0_430 ),
inference(trivial_inequality_removal,[],[f27718]) ).
thf(f27866,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_49
| ~ spl0_422 ),
inference(forward_subsumption_resolution,[],[f27801,f881]) ).
thf(f27875,definition,
( spl0_499
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_499])],[avatar_definition]) ).
thf(f27876,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_499 ),
inference(avatar_component_clause,[],[f27875]) ).
thf(f27878,definition,
( spl0_500
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_500])],[avatar_definition]) ).
thf(f27880,plain,
( spl0_499
| ~ spl0_500
| ~ spl0_422
| ~ spl0_430 ),
inference(avatar_split_clause,[],[f27809,f25875,f25842,f27878,f27875]) ).
thf(f27919,plain,
( spl0_339
| spl0_375
| ~ spl0_49
| ~ spl0_422 ),
inference(avatar_split_clause,[],[f27866,f25842,f860,f23492,f20200]) ).
thf(f27956,definition,
( spl0_507
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_507])],[avatar_definition]) ).
thf(f27957,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_507 ),
inference(avatar_component_clause,[],[f27956]) ).
thf(f28019,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_248 ),
inference(constrained_superposition,[],[f216,f14424]) ).
thf(f28302,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_248 ),
inference(forward_subsumption_resolution,[],[f28019,f26]) ).
thf(f28357,plain,
( $false
| ~ spl0_248 ),
inference(forward_subsumption_resolution,[],[f28302,f25]) ).
thf(f28358,plain,
~ spl0_248,
inference(avatar_contradiction_clause,[],[f28357]) ).
thf(f28510,plain,
( spl0_16
| spl0_59
| spl0_81
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f1396,f860,f2857,f1221,f252]) ).
thf(f28518,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_49
| ~ spl0_383 ),
inference(forward_subsumption_resolution,[],[f24229,f29]) ).
thf(f28544,plain,
( spl0_507
| spl0_16
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f819,f715,f252,f27956]) ).
thf(f28555,plain,
( spl0_8
| spl0_198
| ~ spl0_1
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f22716,f11144,f66,f11621,f137]) ).
thf(f28573,definition,
( spl0_543
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_543])],[avatar_definition]) ).
thf(f28574,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_543 ),
inference(avatar_component_clause,[],[f28573]) ).
thf(f28576,definition,
( spl0_544
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_544])],[avatar_definition]) ).
thf(f28577,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_544 ),
inference(avatar_component_clause,[],[f28576]) ).
thf(f28579,definition,
( spl0_545
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_545])],[avatar_definition]) ).
thf(f28580,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_545 ),
inference(avatar_component_clause,[],[f28579]) ).
thf(f28589,definition,
( spl0_546
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_546])],[avatar_definition]) ).
thf(f28590,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_546 ),
inference(avatar_component_clause,[],[f28589]) ).
thf(f28591,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_544 ),
inference(avatar_component_clause,[],[f28576]) ).
thf(f28596,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f614]) ).
thf(f28619,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f524]) ).
thf(f28668,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true ) )
| ~ spl0_5 ),
inference(constrained_superposition,[],[f40,f2461]) ).
thf(f28678,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( X0 = X1 )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ X0 @ X1 )
= $true ) )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f28668]) ).
thf(f28686,plain,
( spl0_186
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f28678,f99,f11166]) ).
thf(f28692,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_39 ),
inference(constrained_superposition,[],[f30,f28596]) ).
thf(f28697,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f28692]) ).
thf(f28700,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ X0 ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_182
| spl0_248 ),
inference(extensionality_resolution,[],[f11208,f25660]) ).
thf(f28701,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ X0 ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_182
| spl0_248 ),
inference(extensionality_resolution,[],[f11208,f25660]) ).
thf(f28704,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X2 @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_248 ),
inference(extensionality_resolution,[],[f40,f25660]) ).
thf(f28706,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_248 ),
inference(extensionality_resolution,[],[f53,f25660]) ).
thf(f28707,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_248 ),
inference(extensionality_resolution,[],[f53,f25660]) ).
thf(f28713,definition,
( spl0_559
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_559])],[avatar_definition]) ).
thf(f28714,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_559 ),
inference(avatar_component_clause,[],[f28713]) ).
thf(f28716,definition,
( spl0_560
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_560])],[avatar_definition]) ).
thf(f28717,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_560 ),
inference(avatar_component_clause,[],[f28716]) ).
thf(f28718,plain,
( spl0_559
| spl0_560
| spl0_248 ),
inference(avatar_split_clause,[],[f28706,f14423,f28716,f28713]) ).
thf(f28722,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_369 ),
inference(avatar_component_clause,[],[f23450]) ).
thf(f28725,definition,
( spl0_562
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ X0 ) )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_562])],[avatar_definition]) ).
thf(f28726,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ X0 ) )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_562 ),
inference(avatar_component_clause,[],[f28725]) ).
thf(f28727,plain,
( spl0_562
| spl0_43
| ~ spl0_182
| spl0_248 ),
inference(avatar_split_clause,[],[f28701,f14423,f11144,f704,f28725]) ).
thf(f28728,plain,
( spl0_369
| spl0_562
| ~ spl0_182
| spl0_248 ),
inference(avatar_split_clause,[],[f28700,f14423,f11144,f28725,f23450]) ).
thf(f28731,definition,
( spl0_563
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( ( b @ X2 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_563])],[avatar_definition]) ).
thf(f28732,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ X0 )
!= $true ) )
| ~ spl0_563 ),
inference(avatar_component_clause,[],[f28731]) ).
thf(f28733,plain,
( spl0_369
| spl0_563
| spl0_248 ),
inference(avatar_split_clause,[],[f28704,f14423,f28731,f23450]) ).
thf(f28734,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_500 ),
inference(avatar_component_clause,[],[f27878]) ).
thf(f28736,definition,
( spl0_564
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_564])],[avatar_definition]) ).
thf(f28737,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_564 ),
inference(avatar_component_clause,[],[f28736]) ).
thf(f28738,plain,
( spl0_500
| spl0_564
| spl0_248 ),
inference(avatar_split_clause,[],[f28707,f14423,f28736,f27878]) ).
thf(f28822,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_433 ),
inference(constrained_superposition,[],[f217,f26068]) ).
thf(f28976,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_433 ),
inference(forward_subsumption_resolution,[],[f28822,f25]) ).
thf(f29015,plain,
( $false
| ~ spl0_433 ),
inference(forward_subsumption_resolution,[],[f28976,f26]) ).
thf(f29016,plain,
~ spl0_433,
inference(avatar_contradiction_clause,[],[f29015]) ).
thf(f29042,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f30,f275]) ).
thf(f29047,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f29042]) ).
thf(f29054,plain,
( spl0_231
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f29047,f274,f14172]) ).
thf(f29063,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_51 ),
inference(constrained_superposition,[],[f30,f928]) ).
thf(f29071,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_51 ),
inference(trivial_inequality_removal,[],[f29063]) ).
thf(f29091,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_339 ),
inference(constrained_superposition,[],[f216,f20201]) ).
thf(f29241,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_339 ),
inference(forward_subsumption_resolution,[],[f29091,f25]) ).
thf(f29257,plain,
( $false
| ~ spl0_339 ),
inference(forward_subsumption_resolution,[],[f29241,f26]) ).
thf(f29258,plain,
~ spl0_339,
inference(avatar_contradiction_clause,[],[f29257]) ).
thf(f29261,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true ) )
| ~ spl0_1
| ~ spl0_34 ),
inference(constrained_superposition,[],[f625,f589]) ).
thf(f29282,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true ) )
| ~ spl0_1
| ~ spl0_34 ),
inference(trivial_inequality_removal,[],[f29261]) ).
thf(f29295,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true ) )
| ~ spl0_1
| ~ spl0_34
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f29282,f593]) ).
thf(f29303,definition,
( spl0_567
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_567])],[avatar_definition]) ).
thf(f29304,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_567 ),
inference(avatar_component_clause,[],[f29303]) ).
thf(f29325,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( s @ X0 )
= z )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_49
| ~ spl0_56
| ~ spl0_383 ),
inference(constrained_superposition,[],[f11956,f28518]) ).
thf(f29353,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( s @ X0 )
= z ) )
| ~ spl0_49
| ~ spl0_56
| ~ spl0_383 ),
inference(trivial_inequality_removal,[],[f29325]) ).
thf(f29367,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( s @ X0 )
= z )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_1
| ~ spl0_49
| ~ spl0_56
| ~ spl0_383 ),
inference(forward_subsumption_resolution,[],[f29353,f607]) ).
thf(f29378,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_1
| ~ spl0_49
| ~ spl0_56
| ~ spl0_383 ),
inference(forward_subsumption_resolution,[],[f29367,f29]) ).
thf(f29386,plain,
( spl0_3
| ~ spl0_1
| ~ spl0_49
| ~ spl0_56
| ~ spl0_383 ),
inference(avatar_split_clause,[],[f29378,f24182,f1060,f860,f66,f72]) ).
thf(f29400,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| spl0_546 ),
inference(constrained_superposition,[],[f28590,f28]) ).
thf(f29401,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| spl0_546 ),
inference(trivial_inequality_removal,[],[f29400]) ).
thf(f29822,plain,
( spl0_567
| ~ spl0_1
| ~ spl0_34
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f29295,f592,f588,f66,f29303]) ).
thf(f29944,definition,
( spl0_569
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_569])],[avatar_definition]) ).
thf(f29945,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_569 ),
inference(avatar_component_clause,[],[f29944]) ).
thf(f29949,definition,
( spl0_570
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_570])],[avatar_definition]) ).
thf(f29950,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_570 ),
inference(avatar_component_clause,[],[f29949]) ).
thf(f30102,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_182
| ~ spl0_421 ),
inference(constrained_superposition,[],[f11204,f25840]) ).
thf(f30105,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_68
| ~ spl0_182
| ~ spl0_421 ),
inference(constrained_superposition,[],[f11312,f25840]) ).
thf(f30107,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_141
| ~ spl0_182
| ~ spl0_421 ),
inference(constrained_superposition,[],[f11313,f25840]) ).
thf(f30121,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_141
| ~ spl0_182
| ~ spl0_421 ),
inference(trivial_inequality_removal,[],[f30107]) ).
thf(f30126,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_68
| ~ spl0_182
| ~ spl0_421 ),
inference(trivial_inequality_removal,[],[f30105]) ).
thf(f30140,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_182
| ~ spl0_421 ),
inference(trivial_inequality_removal,[],[f30102]) ).
thf(f30419,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_451 ),
inference(avatar_component_clause,[],[f26570]) ).
thf(f30446,definition,
( spl0_575
<=> ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_575])],[avatar_definition]) ).
thf(f30447,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| spl0_575 ),
inference(avatar_component_clause,[],[f30446]) ).
thf(f30451,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| spl0_451 ),
inference(constrained_superposition,[],[f30419,f35]) ).
thf(f30455,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_451 ),
inference(trivial_inequality_removal,[],[f30451]) ).
thf(f30650,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_564
| ~ spl0_567 ),
inference(constrained_superposition,[],[f29304,f28737]) ).
thf(f30693,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ~ spl0_564
| ~ spl0_567 ),
inference(trivial_inequality_removal,[],[f30650]) ).
thf(f30706,plain,
( ( $true != $true )
| ~ spl0_564
| ~ spl0_567
| ~ spl0_569 ),
inference(constrained_superposition,[],[f30693,f29945]) ).
thf(f30715,plain,
( $false
| ~ spl0_564
| ~ spl0_567
| ~ spl0_569 ),
inference(trivial_inequality_removal,[],[f30706]) ).
thf(f30716,plain,
( ~ spl0_564
| ~ spl0_567
| ~ spl0_569 ),
inference(avatar_contradiction_clause,[],[f30715]) ).
thf(f30740,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) )
| ~ spl0_431 ),
inference(constrained_superposition,[],[f42,f25879]) ).
thf(f30776,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_431 ),
inference(trivial_inequality_removal,[],[f30740]) ).
thf(f30795,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_423
| ~ spl0_440 ),
inference(constrained_superposition,[],[f26330,f25847]) ).
thf(f30812,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_423
| ~ spl0_440 ),
inference(trivial_inequality_removal,[],[f30795]) ).
thf(f30837,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_466 ),
inference(constrained_superposition,[],[f26994,f35]) ).
thf(f30860,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_466 ),
inference(trivial_inequality_removal,[],[f30837]) ).
thf(f30914,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_39
| ~ spl0_49 ),
inference(constrained_superposition,[],[f28697,f879]) ).
thf(f30927,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_39
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f30914]) ).
thf(f30932,plain,
( ! [X0: $i] :
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_19
| ~ spl0_39
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f30927,f300]) ).
thf(f30935,plain,
( spl0_36
| spl0_18
| ~ spl0_19
| ~ spl0_39
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f30932,f860,f614,f299,f277,f595]) ).
thf(f30952,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_369 ),
inference(constrained_superposition,[],[f30,f28722]) ).
thf(f30956,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_369 ),
inference(trivial_inequality_removal,[],[f30952]) ).
thf(f31251,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_575 ),
inference(avatar_component_clause,[],[f30446]) ).
thf(f31273,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_49
| ~ spl0_369 ),
inference(constrained_superposition,[],[f30956,f879]) ).
thf(f31281,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_49
| ~ spl0_369 ),
inference(trivial_inequality_removal,[],[f31273]) ).
thf(f31293,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_49
| spl0_224
| ~ spl0_369 ),
inference(forward_subsumption_resolution,[],[f31281,f25652]) ).
thf(f31298,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_22
| ~ spl0_49
| spl0_224
| ~ spl0_369 ),
inference(forward_subsumption_resolution,[],[f31293,f310]) ).
thf(f31301,plain,
( spl0_33
| ~ spl0_22
| ~ spl0_49
| spl0_224
| ~ spl0_369 ),
inference(avatar_split_clause,[],[f31298,f23450,f14139,f860,f309,f585]) ).
thf(f31312,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_49
| ~ spl0_51 ),
inference(constrained_superposition,[],[f29071,f881]) ).
thf(f31333,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_49
| ~ spl0_51 ),
inference(trivial_inequality_removal,[],[f31312]) ).
thf(f31344,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_19
| ~ spl0_49
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[],[f31333,f300]) ).
thf(f31356,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_19
| ~ spl0_49
| ~ spl0_51
| ~ spl0_500 ),
inference(constrained_superposition,[],[f31344,f28734]) ).
thf(f31371,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_19
| ~ spl0_49
| ~ spl0_51
| ~ spl0_500 ),
inference(trivial_inequality_removal,[],[f31356]) ).
thf(f31382,plain,
( $false
| ~ spl0_19
| ~ spl0_49
| ~ spl0_51
| ~ spl0_500 ),
inference(forward_subsumption_resolution,[],[f31371,f881]) ).
thf(f31383,plain,
( ~ spl0_19
| ~ spl0_49
| ~ spl0_51
| ~ spl0_500 ),
inference(avatar_contradiction_clause,[],[f31382]) ).
thf(f31394,plain,
( spl0_44
| spl0_236 ),
inference(avatar_split_clause,[],[f16197,f14210,f707]) ).
thf(f31403,definition,
( spl0_582
<=> ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_582])],[avatar_definition]) ).
thf(f31404,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_582 ),
inference(avatar_component_clause,[],[f31403]) ).
thf(f31408,definition,
( spl0_583
<=> ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_583])],[avatar_definition]) ).
thf(f31409,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_583 ),
inference(avatar_component_clause,[],[f31408]) ).
thf(f31413,plain,
( spl0_3
| ~ spl0_1
| spl0_61
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f11975,f1060,f1273,f66,f72]) ).
thf(f31416,definition,
( spl0_584
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_584])],[avatar_definition]) ).
thf(f31417,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_584 ),
inference(avatar_component_clause,[],[f31416]) ).
thf(f31428,plain,
( spl0_582
| spl0_451 ),
inference(avatar_split_clause,[],[f30455,f26570,f31403]) ).
thf(f31449,plain,
( ~ spl0_227
| ~ spl0_423
| ~ spl0_440 ),
inference(avatar_split_clause,[],[f30812,f26329,f25846,f14149]) ).
thf(f31452,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_68
| ~ spl0_182
| ~ spl0_421 ),
inference(forward_subsumption_resolution,[],[f30126,f29]) ).
thf(f31453,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_19
| ~ spl0_466 ),
inference(forward_subsumption_resolution,[],[f30860,f300]) ).
thf(f31460,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_141
| ~ spl0_182
| ~ spl0_421 ),
inference(forward_subsumption_resolution,[],[f30121,f29]) ).
thf(f31513,plain,
( spl0_244
| spl0_425
| ~ spl0_68
| ~ spl0_182
| ~ spl0_421 ),
inference(avatar_split_clause,[],[f31452,f25839,f11144,f1543,f25854,f14315]) ).
thf(f31514,plain,
( spl0_582
| ~ spl0_19
| ~ spl0_466 ),
inference(avatar_split_clause,[],[f31453,f26993,f299,f31403]) ).
thf(f31516,plain,
( spl0_244
| spl0_433
| spl0_425
| ~ spl0_141
| ~ spl0_182
| ~ spl0_421 ),
inference(avatar_split_clause,[],[f31460,f25839,f11144,f7038,f25854,f26067,f14315]) ).
thf(f31539,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_582 ),
inference(avatar_component_clause,[],[f31403]) ).
thf(f31540,plain,
( spl0_435
| spl0_444
| ~ spl0_582
| ~ spl0_431 ),
inference(avatar_split_clause,[],[f30776,f25878,f31403,f26496,f26083]) ).
thf(f31551,definition,
( spl0_597
<=> ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_597])],[avatar_definition]) ).
thf(f31552,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ~ spl0_597 ),
inference(avatar_component_clause,[],[f31551]) ).
thf(f31575,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_182
| spl0_236
| ~ spl0_421 ),
inference(forward_subsumption_resolution,[],[f30140,f16034]) ).
thf(f31582,definition,
( spl0_601
<=> ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_601])],[avatar_definition]) ).
thf(f31583,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_601 ),
inference(avatar_component_clause,[],[f31582]) ).
thf(f31591,plain,
( ~ spl0_582
| ~ spl0_426
| ~ spl0_182
| spl0_236
| ~ spl0_421 ),
inference(avatar_split_clause,[],[f31575,f25839,f14210,f11144,f25859,f31403]) ).
thf(f31592,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| spl0_1
| ~ spl0_63 ),
inference(constrained_superposition,[],[f67,f1382]) ).
thf(f31595,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_1
| ~ spl0_63 ),
inference(trivial_inequality_removal,[],[f31592]) ).
thf(f31597,plain,
( spl0_18
| spl0_1
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f31595,f1381,f66,f277]) ).
thf(f31644,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_4
| ~ spl0_44 ),
inference(constrained_superposition,[],[f97,f708]) ).
thf(f31651,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ~ spl0_4
| ~ spl0_44 ),
inference(trivial_inequality_removal,[],[f31644]) ).
thf(f31678,plain,
( ( $true != $true )
| ~ spl0_4
| ~ spl0_44
| ~ spl0_421 ),
inference(constrained_superposition,[],[f31651,f25840]) ).
thf(f31688,plain,
( $false
| ~ spl0_4
| ~ spl0_44
| ~ spl0_421 ),
inference(trivial_inequality_removal,[],[f31678]) ).
thf(f31689,plain,
( ~ spl0_4
| ~ spl0_44
| ~ spl0_421 ),
inference(avatar_contradiction_clause,[],[f31688]) ).
thf(f31711,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_597 ),
inference(constrained_superposition,[],[f31552,f34]) ).
thf(f31713,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_597 ),
inference(constrained_superposition,[],[f31552,f55]) ).
thf(f31716,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_597 ),
inference(trivial_inequality_removal,[],[f31713]) ).
thf(f31718,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_597 ),
inference(trivial_inequality_removal,[],[f31711]) ).
thf(f31722,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_4
| ~ spl0_582 ),
inference(constrained_superposition,[],[f97,f31404]) ).
thf(f31734,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ~ spl0_4
| ~ spl0_582 ),
inference(trivial_inequality_removal,[],[f31722]) ).
thf(f31762,plain,
( spl0_544
| ~ spl0_597 ),
inference(avatar_split_clause,[],[f31716,f31551,f28576]) ).
thf(f31765,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| spl0_248
| spl0_546 ),
inference(forward_subsumption_resolution,[],[f29401,f25660]) ).
thf(f31767,plain,
( spl0_43
| spl0_248
| spl0_546 ),
inference(avatar_split_clause,[],[f31765,f28589,f14423,f704]) ).
thf(f31768,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_9
| ~ spl0_43 ),
inference(constrained_superposition,[],[f152,f705]) ).
thf(f31770,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_43 ),
inference(constrained_superposition,[],[f30,f705]) ).
thf(f31772,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_9
| ~ spl0_43 ),
inference(trivial_inequality_removal,[],[f31768]) ).
thf(f31773,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_43 ),
inference(trivial_inequality_removal,[],[f31770]) ).
thf(f31775,plain,
( $false
| ~ spl0_9
| ~ spl0_43
| ~ spl0_236 ),
inference(forward_subsumption_resolution,[],[f31772,f14211]) ).
thf(f31776,plain,
( ~ spl0_9
| ~ spl0_43
| ~ spl0_236 ),
inference(avatar_contradiction_clause,[],[f31775]) ).
thf(f31777,plain,
( spl0_46
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f31773,f704,f719]) ).
thf(f31783,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_446 ),
inference(constrained_superposition,[],[f216,f26510]) ).
thf(f31879,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_446 ),
inference(forward_subsumption_resolution,[],[f31783,f25]) ).
thf(f31890,plain,
( $false
| ~ spl0_446 ),
inference(forward_subsumption_resolution,[],[f31879,f26]) ).
thf(f31891,plain,
~ spl0_446,
inference(avatar_contradiction_clause,[],[f31890]) ).
thf(f31897,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_126
| spl0_227 ),
inference(constrained_superposition,[],[f14150,f6617]) ).
thf(f31899,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_126
| spl0_227 ),
inference(trivial_inequality_removal,[],[f31897]) ).
thf(f31907,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_126
| spl0_227
| spl0_248 ),
inference(forward_subsumption_resolution,[],[f31899,f25660]) ).
thf(f31909,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_126
| spl0_224
| spl0_227
| spl0_248 ),
inference(forward_subsumption_resolution,[],[f31907,f25652]) ).
thf(f31910,plain,
( spl0_44
| ~ spl0_126
| spl0_224
| spl0_227
| spl0_248 ),
inference(avatar_split_clause,[],[f31909,f14423,f14149,f14139,f6616,f707]) ).
thf(f31959,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_9
| ~ spl0_544 ),
inference(constrained_superposition,[],[f152,f28591]) ).
thf(f31960,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true ) )
| ~ spl0_544 ),
inference(constrained_superposition,[],[f49,f28591]) ).
thf(f31962,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_9
| ~ spl0_544 ),
inference(trivial_inequality_removal,[],[f31959]) ).
thf(f31963,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_544 ),
inference(trivial_inequality_removal,[],[f31960]) ).
thf(f31966,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| spl0_1
| ~ spl0_544 ),
inference(forward_subsumption_resolution,[],[f31963,f67]) ).
thf(f32012,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( z = X0 )
| ( $true != $true ) )
| ~ spl0_36
| ~ spl0_49 ),
inference(constrained_superposition,[],[f596,f878]) ).
thf(f32013,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true ) )
| ~ spl0_36
| ~ spl0_49 ),
inference(constrained_superposition,[],[f596,f881]) ).
thf(f32018,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ~ spl0_36
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f32013]) ).
thf(f32020,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( z = X0 ) )
| ~ spl0_36
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f32012]) ).
thf(f32023,plain,
( ! [X0: $i] : ( z = X0 )
| ~ spl0_36
| ~ spl0_49
| ~ spl0_62 ),
inference(forward_subsumption_resolution,[],[f32020,f1297]) ).
thf(f32024,plain,
( spl0_71
| ~ spl0_36
| ~ spl0_49
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f32023,f1296,f860,f595,f2119]) ).
thf(f32025,plain,
( ( $true != $true )
| ( z
= ( s @ z ) )
| ~ spl0_36
| ~ spl0_49
| ~ spl0_244 ),
inference(constrained_superposition,[],[f32020,f14316]) ).
thf(f32032,plain,
( ( z
= ( s @ z ) )
| ~ spl0_36
| ~ spl0_49
| ~ spl0_244 ),
inference(trivial_inequality_removal,[],[f32025]) ).
thf(f32037,plain,
( $false
| ~ spl0_36
| ~ spl0_49
| ~ spl0_244 ),
inference(forward_subsumption_resolution,[],[f32032,f29]) ).
thf(f32038,plain,
( ~ spl0_36
| ~ spl0_49
| ~ spl0_244 ),
inference(avatar_contradiction_clause,[],[f32037]) ).
thf(f32039,plain,
( spl0_425
| ~ spl0_597 ),
inference(avatar_split_clause,[],[f31718,f31551,f25854]) ).
thf(f32045,plain,
( ~ spl0_425
| spl0_583
| spl0_1
| ~ spl0_544 ),
inference(avatar_split_clause,[],[f31966,f28576,f66,f31408,f25854]) ).
thf(f32047,plain,
( spl0_597
| ~ spl0_4
| ~ spl0_582 ),
inference(avatar_split_clause,[],[f31734,f31403,f96,f31551]) ).
thf(f32048,plain,
( ~ spl0_451
| ~ spl0_9
| ~ spl0_544 ),
inference(avatar_split_clause,[],[f31962,f28576,f151,f26570]) ).
thf(f32052,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_451 ),
inference(constrained_superposition,[],[f30,f26571]) ).
thf(f32053,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_451 ),
inference(trivial_inequality_removal,[],[f32052]) ).
thf(f32097,definition,
( spl0_607
<=> ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_607])],[avatar_definition]) ).
thf(f32098,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ~ spl0_607 ),
inference(avatar_component_clause,[],[f32097]) ).
thf(f32102,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_607 ),
inference(constrained_superposition,[],[f32098,f34]) ).
thf(f32105,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_607 ),
inference(constrained_superposition,[],[f32098,f55]) ).
thf(f32110,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_607 ),
inference(trivial_inequality_removal,[],[f32102]) ).
thf(f32112,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_607 ),
inference(trivial_inequality_removal,[],[f32105]) ).
thf(f32117,plain,
( $false
| ~ spl0_36
| ~ spl0_49
| ~ spl0_607 ),
inference(forward_subsumption_resolution,[],[f32110,f32018]) ).
thf(f32118,plain,
( ~ spl0_36
| ~ spl0_49
| ~ spl0_607 ),
inference(avatar_contradiction_clause,[],[f32117]) ).
thf(f32120,plain,
( spl0_43
| ~ spl0_607 ),
inference(avatar_split_clause,[],[f32112,f32097,f704]) ).
thf(f32121,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_438 ),
inference(constrained_superposition,[],[f26279,f34]) ).
thf(f32124,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_438 ),
inference(constrained_superposition,[],[f26279,f55]) ).
thf(f32128,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_438 ),
inference(trivial_inequality_removal,[],[f32121]) ).
thf(f32129,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_438 ),
inference(trivial_inequality_removal,[],[f32124]) ).
thf(f32133,plain,
( ! [X0: $i] :
( ( b @ z @ X0 )
!= $true )
| ~ spl0_36
| ~ spl0_49
| ~ spl0_438 ),
inference(forward_subsumption_resolution,[],[f32128,f32018]) ).
thf(f32134,plain,
( spl0_21
| spl0_43
| ~ spl0_438 ),
inference(avatar_split_clause,[],[f32129,f26278,f704,f306]) ).
thf(f32135,plain,
( spl0_20
| ~ spl0_36
| ~ spl0_49
| ~ spl0_438 ),
inference(avatar_split_clause,[],[f32133,f26278,f860,f595,f302]) ).
thf(f32146,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_19
| ~ spl0_28 ),
inference(constrained_superposition,[],[f1105,f28619]) ).
thf(f32157,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_19
| ~ spl0_28 ),
inference(duplicate_literal_removal,[],[f32146]) ).
thf(f32158,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_19
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f32157]) ).
thf(f32161,plain,
( spl0_30
| ~ spl0_19
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f32158,f524,f299,f533]) ).
thf(f32231,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_435 ),
inference(constrained_superposition,[],[f26084,f34]) ).
thf(f32237,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) )
| ~ spl0_435 ),
inference(trivial_inequality_removal,[],[f32231]) ).
thf(f32241,plain,
( ! [X0: $i] :
( ( b @ z @ X0 )
!= $true )
| ~ spl0_36
| ~ spl0_49
| ~ spl0_435 ),
inference(forward_subsumption_resolution,[],[f32237,f32018]) ).
thf(f32243,plain,
( spl0_20
| ~ spl0_36
| ~ spl0_49
| ~ spl0_435 ),
inference(avatar_split_clause,[],[f32241,f26083,f860,f595,f302]) ).
thf(f32244,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
= $true )
| ( z = X0 )
| ( $true != $true ) )
| ~ spl0_20 ),
inference(constrained_superposition,[],[f303,f28]) ).
thf(f32245,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
= $true )
| ( z = X0 ) )
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f32244]) ).
thf(f32246,plain,
( spl0_70
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f32245,f302,f1742]) ).
thf(f32249,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_544 ),
inference(constrained_superposition,[],[f30,f28591]) ).
thf(f32252,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 )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_544 ),
inference(trivial_inequality_removal,[],[f32249]) ).
thf(f32302,definition,
( spl0_608
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_608])],[avatar_definition]) ).
thf(f32303,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_608 ),
inference(avatar_component_clause,[],[f32302]) ).
thf(f32320,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_429
| ~ spl0_583 ),
inference(constrained_superposition,[],[f31409,f25872]) ).
thf(f32321,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_429
| ~ spl0_440 ),
inference(constrained_superposition,[],[f26330,f25872]) ).
thf(f32328,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_429
| ~ spl0_583 ),
inference(trivial_inequality_removal,[],[f32320]) ).
thf(f32329,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_429
| ~ spl0_440 ),
inference(trivial_inequality_removal,[],[f32321]) ).
thf(f32379,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_499
| ~ spl0_608 ),
inference(constrained_superposition,[],[f27876,f32303]) ).
thf(f32381,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_430
| ~ spl0_499 ),
inference(constrained_superposition,[],[f27876,f25876]) ).
thf(f32382,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_499
| ~ spl0_608 ),
inference(trivial_inequality_removal,[],[f32379]) ).
thf(f32384,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_430
| ~ spl0_499 ),
inference(trivial_inequality_removal,[],[f32381]) ).
thf(f32387,plain,
( $false
| ~ spl0_423
| ~ spl0_430
| ~ spl0_499 ),
inference(forward_subsumption_resolution,[],[f32384,f25847]) ).
thf(f32388,plain,
( ~ spl0_423
| ~ spl0_430
| ~ spl0_499 ),
inference(avatar_contradiction_clause,[],[f32387]) ).
thf(f32411,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_70 ),
inference(constrained_superposition,[],[f127,f1743]) ).
thf(f32422,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ z @ X1 )
!= $true )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_70 ),
inference(trivial_inequality_removal,[],[f32411]) ).
thf(f32433,plain,
( ! [X0: $i,X1: $i] :
( ( z
= ( s @ ( s @ X0 ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_39
| ~ spl0_70 ),
inference(forward_subsumption_resolution,[],[f32422,f28596]) ).
thf(f32435,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_39
| ~ spl0_70 ),
inference(forward_subsumption_resolution,[],[f32433,f29]) ).
thf(f32437,plain,
( spl0_9
| spl0_97
| ~ spl0_39
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f32435,f1742,f614,f3655,f151]) ).
thf(f32440,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true ) )
| ~ spl0_97 ),
inference(constrained_superposition,[],[f27,f3656]) ).
thf(f32446,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_97 ),
inference(trivial_inequality_removal,[],[f32440]) ).
thf(f32459,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_97
| ~ spl0_421 ),
inference(constrained_superposition,[],[f32446,f25840]) ).
thf(f32471,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_97
| ~ spl0_421 ),
inference(trivial_inequality_removal,[],[f32459]) ).
thf(f32485,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_559 ),
inference(constrained_superposition,[],[f49,f28714]) ).
thf(f32487,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_559 ),
inference(trivial_inequality_removal,[],[f32485]) ).
thf(f32527,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_451 ),
inference(constrained_superposition,[],[f32053,f56]) ).
thf(f32537,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_451 ),
inference(trivial_inequality_removal,[],[f32527]) ).
thf(f32543,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_46
| ~ spl0_236 ),
inference(constrained_superposition,[],[f720,f14211]) ).
thf(f32565,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_46
| ~ spl0_236 ),
inference(trivial_inequality_removal,[],[f32543]) ).
thf(f32570,plain,
( spl0_252
| ~ spl0_46
| ~ spl0_236 ),
inference(avatar_split_clause,[],[f32565,f14210,f719,f14499]) ).
thf(f32576,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_49
| ~ spl0_544 ),
inference(constrained_superposition,[],[f32252,f881]) ).
thf(f32590,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_49
| ~ spl0_544 ),
inference(trivial_inequality_removal,[],[f32576]) ).
thf(f32596,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_22
| ~ spl0_49
| ~ spl0_544 ),
inference(forward_subsumption_resolution,[],[f32590,f310]) ).
thf(f32601,plain,
( spl0_466
| ~ spl0_22
| ~ spl0_49
| ~ spl0_544 ),
inference(avatar_split_clause,[],[f32596,f28576,f860,f309,f26993]) ).
thf(f32603,plain,
( ~ spl0_369
| ~ spl0_499
| ~ spl0_608 ),
inference(avatar_split_clause,[],[f32382,f32302,f27875,f23450]) ).
thf(f32605,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_97
| ~ spl0_421 ),
inference(forward_subsumption_resolution,[],[f32471,f3656]) ).
thf(f32608,plain,
( spl0_435
| ~ spl0_97
| ~ spl0_421 ),
inference(avatar_split_clause,[],[f32605,f25839,f3655,f26083]) ).
thf(f32612,definition,
( spl0_609
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_609])],[avatar_definition]) ).
thf(f32613,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_609 ),
inference(avatar_component_clause,[],[f32612]) ).
thf(f32614,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| spl0_43 ),
inference(avatar_component_clause,[],[f704]) ).
thf(f32617,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_465 ),
inference(avatar_component_clause,[],[f26986]) ).
thf(f32624,definition,
( spl0_610
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_610])],[avatar_definition]) ).
thf(f32625,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_610 ),
inference(avatar_component_clause,[],[f32624]) ).
thf(f32637,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_4
| ~ spl0_44 ),
inference(constrained_superposition,[],[f97,f708]) ).
thf(f32639,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( $true != $true )
| ( X0 = X1 )
| ( ( b @ X0 @ X2 )
!= $true ) )
| ~ spl0_44 ),
inference(constrained_superposition,[],[f40,f708]) ).
thf(f32641,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ~ spl0_4
| ~ spl0_44 ),
inference(trivial_inequality_removal,[],[f32637]) ).
thf(f32644,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 ) )
| ~ spl0_44 ),
inference(trivial_inequality_removal,[],[f32639]) ).
thf(f32645,plain,
( spl0_607
| ~ spl0_4
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f32641,f707,f96,f32097]) ).
thf(f32647,plain,
( spl0_182
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f32644,f707,f11144]) ).
thf(f32694,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_251 ),
inference(constrained_superposition,[],[f27,f14440]) ).
thf(f32701,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_251 ),
inference(trivial_inequality_removal,[],[f32694]) ).
thf(f32704,plain,
( spl0_563
| ~ spl0_251 ),
inference(avatar_split_clause,[],[f32701,f14439,f28731]) ).
thf(f32709,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_43 ),
inference(constrained_superposition,[],[f32614,f36]) ).
thf(f32710,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_43 ),
inference(trivial_inequality_removal,[],[f32709]) ).
thf(f32711,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_43 ),
inference(forward_subsumption_resolution,[],[f32710,f29]) ).
thf(f32718,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_43 ),
inference(constrained_superposition,[],[f27,f32711]) ).
thf(f32727,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_43 ),
inference(trivial_inequality_removal,[],[f32718]) ).
thf(f32731,plain,
( spl0_563
| spl0_43 ),
inference(avatar_split_clause,[],[f32727,f704,f28731]) ).
thf(f32736,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_17
| ~ spl0_59 ),
inference(constrained_superposition,[],[f1222,f275]) ).
thf(f32750,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_17
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f32736]) ).
thf(f32753,plain,
( $false
| ~ spl0_17
| ~ spl0_39
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[],[f32750,f28596]) ).
thf(f32754,plain,
( ~ spl0_17
| ~ spl0_39
| ~ spl0_59 ),
inference(avatar_contradiction_clause,[],[f32753]) ).
thf(f32806,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_58 ),
inference(constrained_superposition,[],[f1081,f35]) ).
thf(f32809,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_58 ),
inference(trivial_inequality_removal,[],[f32806]) ).
thf(f32813,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| spl0_16
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[],[f32809,f253]) ).
thf(f32816,plain,
( $false
| spl0_16
| ~ spl0_39
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[],[f32813,f28596]) ).
thf(f32817,plain,
( spl0_16
| ~ spl0_39
| ~ spl0_58 ),
inference(avatar_contradiction_clause,[],[f32816]) ).
thf(f32819,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_19
| ~ spl0_33 ),
inference(constrained_superposition,[],[f586,f300]) ).
thf(f32824,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_19
| ~ spl0_33 ),
inference(trivial_inequality_removal,[],[f32819]) ).
thf(f32830,plain,
( $false
| ~ spl0_19
| ~ spl0_33
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f32824,f28596]) ).
thf(f32831,plain,
( ~ spl0_19
| ~ spl0_33
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f32830]) ).
thf(f32833,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_601 ),
inference(avatar_component_clause,[],[f31582]) ).
thf(f32835,definition,
( spl0_611
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_611])],[avatar_definition]) ).
thf(f32836,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_611 ),
inference(avatar_component_clause,[],[f32835]) ).
thf(f32839,definition,
( spl0_612
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_612])],[avatar_definition]) ).
thf(f32840,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_612 ),
inference(avatar_component_clause,[],[f32839]) ).
thf(f32841,plain,
( spl0_612
| spl0_601
| ~ spl0_244
| ~ spl0_559 ),
inference(avatar_split_clause,[],[f32487,f28713,f14315,f31582,f32839]) ).
thf(f32842,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_44 ),
inference(avatar_component_clause,[],[f707]) ).
thf(f32844,definition,
( spl0_613
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_613])],[avatar_definition]) ).
thf(f32845,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_613 ),
inference(avatar_component_clause,[],[f32844]) ).
thf(f32849,definition,
( spl0_614
<=> ! [X2: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X2 ) )
| ( ( s @ ( s @ z ) )
= X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_614])],[avatar_definition]) ).
thf(f32850,plain,
( ! [X2: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X2 ) )
| ( ( s @ ( s @ z ) )
= X2 ) )
| ~ spl0_614 ),
inference(avatar_component_clause,[],[f32849]) ).
thf(f32864,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_439 ),
inference(avatar_component_clause,[],[f26326]) ).
thf(f32866,plain,
( ~ spl0_444
| ~ spl0_429
| ~ spl0_583 ),
inference(avatar_split_clause,[],[f32328,f31408,f25871,f26496]) ).
thf(f32877,definition,
( spl0_619
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) )
| ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_619])],[avatar_definition]) ).
thf(f32878,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 )
!= $true )
| ( ( b @ X2 @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_619 ),
inference(avatar_component_clause,[],[f32877]) ).
thf(f32879,plain,
( spl0_619
| spl0_613
| spl0_224 ),
inference(avatar_split_clause,[],[f25830,f14139,f32844,f32877]) ).
thf(f32885,definition,
( spl0_621
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_621])],[avatar_definition]) ).
thf(f32886,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_621 ),
inference(avatar_component_clause,[],[f32885]) ).
thf(f32891,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_227 ),
inference(avatar_component_clause,[],[f14149]) ).
thf(f32899,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_601 ),
inference(constrained_superposition,[],[f32833,f28]) ).
thf(f32900,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_601 ),
inference(trivial_inequality_removal,[],[f32899]) ).
thf(f32901,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_601 ),
inference(forward_subsumption_resolution,[],[f32900,f29]) ).
thf(f32902,plain,
( spl0_575
| spl0_601 ),
inference(avatar_split_clause,[],[f32901,f31582,f30446]) ).
thf(f32903,plain,
( ~ spl0_455
| ~ spl0_429
| ~ spl0_440 ),
inference(avatar_split_clause,[],[f32329,f26329,f25871,f26749]) ).
thf(f32934,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_45
| ~ spl0_227 ),
inference(constrained_superposition,[],[f716,f32891]) ).
thf(f32935,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_59
| ~ spl0_227 ),
inference(constrained_superposition,[],[f1222,f32891]) ).
thf(f32939,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_59
| ~ spl0_227 ),
inference(trivial_inequality_removal,[],[f32935]) ).
thf(f32942,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_45
| ~ spl0_227 ),
inference(trivial_inequality_removal,[],[f32934]) ).
thf(f32945,plain,
( $false
| ~ spl0_59
| ~ spl0_227
| ~ spl0_236 ),
inference(forward_subsumption_resolution,[],[f32939,f14211]) ).
thf(f32946,plain,
( ~ spl0_59
| ~ spl0_227
| ~ spl0_236 ),
inference(avatar_contradiction_clause,[],[f32945]) ).
thf(f32948,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_621 ),
inference(constrained_superposition,[],[f32886,f53]) ).
thf(f32952,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_621 ),
inference(trivial_inequality_removal,[],[f32948]) ).
thf(f32954,definition,
( spl0_622
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_622])],[avatar_definition]) ).
thf(f32955,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_622 ),
inference(avatar_component_clause,[],[f32954]) ).
thf(f32957,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_621 ),
inference(forward_subsumption_resolution,[],[f32952,f29]) ).
thf(f32958,plain,
( spl0_622
| spl0_621 ),
inference(avatar_split_clause,[],[f32957,f32885,f32954]) ).
thf(f32960,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_30
| ~ spl0_439 ),
inference(constrained_superposition,[],[f534,f32864]) ).
thf(f32965,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_30
| ~ spl0_439 ),
inference(trivial_inequality_removal,[],[f32960]) ).
thf(f32972,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_138 ),
inference(constrained_superposition,[],[f6990,f35]) ).
thf(f32982,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_138 ),
inference(trivial_inequality_removal,[],[f32972]) ).
thf(f32987,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_422
| ~ spl0_451 ),
inference(constrained_superposition,[],[f32053,f25843]) ).
thf(f32990,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_422 ),
inference(constrained_superposition,[],[f30,f25843]) ).
thf(f32991,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_422 ),
inference(trivial_inequality_removal,[],[f32990]) ).
thf(f32993,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_422
| ~ spl0_451 ),
inference(trivial_inequality_removal,[],[f32987]) ).
thf(f33025,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_37
| ~ spl0_564 ),
inference(constrained_superposition,[],[f601,f28737]) ).
thf(f33037,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_37
| ~ spl0_564 ),
inference(trivial_inequality_removal,[],[f33025]) ).
thf(f33045,definition,
( spl0_623
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_623])],[avatar_definition]) ).
thf(f33046,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_623 ),
inference(avatar_component_clause,[],[f33045]) ).
thf(f33047,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_455 ),
inference(avatar_component_clause,[],[f26749]) ).
thf(f33098,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_430
| ~ spl0_584 ),
inference(constrained_superposition,[],[f31417,f25876]) ).
thf(f33106,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_430
| ~ spl0_584 ),
inference(trivial_inequality_removal,[],[f33098]) ).
thf(f33153,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_27
| ~ spl0_613 ),
inference(constrained_superposition,[],[f522,f32845]) ).
thf(f33155,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_27
| ~ spl0_613 ),
inference(trivial_inequality_removal,[],[f33153]) ).
thf(f33168,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_27
| spl0_44
| ~ spl0_613 ),
inference(forward_subsumption_resolution,[],[f33155,f32842]) ).
thf(f33175,plain,
( $false
| ~ spl0_27
| ~ spl0_28
| spl0_44
| ~ spl0_613 ),
inference(forward_subsumption_resolution,[],[f33168,f28619]) ).
thf(f33176,plain,
( ~ spl0_27
| ~ spl0_28
| spl0_44
| ~ spl0_613 ),
inference(avatar_contradiction_clause,[],[f33175]) ).
thf(f33190,plain,
( spl0_611
| spl0_607
| ~ spl0_601
| ~ spl0_37
| ~ spl0_564 ),
inference(avatar_split_clause,[],[f33037,f28736,f600,f31582,f32097,f32835]) ).
thf(f33191,plain,
( ~ spl0_425
| ~ spl0_430
| ~ spl0_584 ),
inference(avatar_split_clause,[],[f33106,f31416,f25875,f25854]) ).
thf(f33192,plain,
( ~ spl0_425
| ~ spl0_30
| ~ spl0_439 ),
inference(avatar_split_clause,[],[f32965,f26326,f533,f25854]) ).
thf(f33207,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_597 ),
inference(constrained_superposition,[],[f31552,f216]) ).
thf(f33211,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_597 ),
inference(trivial_inequality_removal,[],[f33207]) ).
thf(f33216,plain,
( spl0_439
| ~ spl0_597 ),
inference(avatar_split_clause,[],[f33211,f31551,f26326]) ).
thf(f33273,plain,
( $false
| ~ spl0_424
| ~ spl0_597 ),
inference(forward_subsumption_resolution,[],[f25850,f31552]) ).
thf(f33274,plain,
( ~ spl0_424
| ~ spl0_597 ),
inference(avatar_contradiction_clause,[],[f33273]) ).
thf(f33279,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| spl0_608 ),
inference(avatar_component_clause,[],[f32302]) ).
thf(f33285,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_4
| ~ spl0_16 ),
inference(constrained_superposition,[],[f97,f535]) ).
thf(f33291,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ~ spl0_4
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f33285]) ).
thf(f33294,plain,
( spl0_49
| ~ spl0_4
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f33291,f252,f96,f860]) ).
thf(f33301,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f30,f28619]) ).
thf(f33306,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f33301]) ).
thf(f33335,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| spl0_623 ),
inference(constrained_superposition,[],[f33046,f217]) ).
thf(f33337,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_623 ),
inference(constrained_superposition,[],[f33046,f28]) ).
thf(f33339,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_623 ),
inference(trivial_inequality_removal,[],[f33335]) ).
thf(f33340,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_623 ),
inference(trivial_inequality_removal,[],[f33337]) ).
thf(f33342,plain,
( spl0_613
| spl0_623 ),
inference(avatar_split_clause,[],[f33339,f33045,f32844]) ).
thf(f33343,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_224
| spl0_623 ),
inference(forward_subsumption_resolution,[],[f33340,f25652]) ).
thf(f33344,plain,
( spl0_613
| spl0_224
| spl0_623 ),
inference(avatar_split_clause,[],[f33343,f33045,f14139,f32844]) ).
thf(f33345,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_33
| ~ spl0_613 ),
inference(constrained_superposition,[],[f586,f32845]) ).
thf(f33353,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_33
| ~ spl0_613 ),
inference(trivial_inequality_removal,[],[f33345]) ).
thf(f33358,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_13 ),
inference(constrained_superposition,[],[f242,f217]) ).
thf(f33363,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f33358]) ).
thf(f33455,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_425
| ~ spl0_543 ),
inference(constrained_superposition,[],[f28574,f25855]) ).
thf(f33458,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_439
| ~ spl0_543 ),
inference(constrained_superposition,[],[f28574,f32864]) ).
thf(f33461,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_439
| ~ spl0_543 ),
inference(trivial_inequality_removal,[],[f33458]) ).
thf(f33462,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_425
| ~ spl0_543 ),
inference(trivial_inequality_removal,[],[f33455]) ).
thf(f33463,plain,
( $false
| ~ spl0_22
| ~ spl0_439
| ~ spl0_543 ),
inference(forward_subsumption_resolution,[],[f33461,f310]) ).
thf(f33464,plain,
( ~ spl0_22
| ~ spl0_439
| ~ spl0_543 ),
inference(avatar_contradiction_clause,[],[f33463]) ).
thf(f33465,plain,
( $false
| ~ spl0_39
| ~ spl0_425
| ~ spl0_543 ),
inference(forward_subsumption_resolution,[],[f33462,f28596]) ).
thf(f33466,plain,
( ~ spl0_39
| ~ spl0_425
| ~ spl0_543 ),
inference(avatar_contradiction_clause,[],[f33465]) ).
thf(f33490,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_439
| ~ spl0_507 ),
inference(constrained_superposition,[],[f27957,f32864]) ).
thf(f33496,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_439
| ~ spl0_507 ),
inference(trivial_inequality_removal,[],[f33490]) ).
thf(f33498,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_439
| ~ spl0_507
| ~ spl0_544 ),
inference(forward_subsumption_resolution,[],[f33496,f28591]) ).
thf(f33499,plain,
( $false
| ~ spl0_425
| ~ spl0_439
| ~ spl0_507
| ~ spl0_544 ),
inference(forward_subsumption_resolution,[],[f33498,f25855]) ).
thf(f33500,plain,
( ~ spl0_425
| ~ spl0_439
| ~ spl0_507
| ~ spl0_544 ),
inference(avatar_contradiction_clause,[],[f33499]) ).
thf(f33501,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| spl0_439 ),
inference(constrained_superposition,[],[f26327,f36]) ).
thf(f33502,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_439 ),
inference(trivial_inequality_removal,[],[f33501]) ).
thf(f33503,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_248
| spl0_439 ),
inference(forward_subsumption_resolution,[],[f33502,f25660]) ).
thf(f33525,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_13
| ~ spl0_564 ),
inference(constrained_superposition,[],[f33363,f28737]) ).
thf(f33526,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_13
| ~ spl0_424 ),
inference(constrained_superposition,[],[f33363,f25850]) ).
thf(f33529,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_13
| spl0_248
| spl0_439 ),
inference(constrained_superposition,[],[f33363,f33503]) ).
thf(f33537,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_13
| ~ spl0_424 ),
inference(trivial_inequality_removal,[],[f33526]) ).
thf(f33538,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_13
| spl0_248
| spl0_439 ),
inference(trivial_inequality_removal,[],[f33529]) ).
thf(f33543,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_13
| ~ spl0_564 ),
inference(trivial_inequality_removal,[],[f33525]) ).
thf(f33547,plain,
( spl0_622
| ~ spl0_13
| ~ spl0_424 ),
inference(avatar_split_clause,[],[f33537,f25849,f241,f32954]) ).
thf(f33548,plain,
( spl0_622
| ~ spl0_13
| spl0_248
| spl0_439 ),
inference(avatar_split_clause,[],[f33538,f26326,f14423,f241,f32954]) ).
thf(f33550,plain,
( spl0_611
| ~ spl0_13
| ~ spl0_564 ),
inference(avatar_split_clause,[],[f33543,f28736,f241,f32835]) ).
thf(f33552,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_33
| ~ spl0_622 ),
inference(constrained_superposition,[],[f586,f32955]) ).
thf(f33553,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_36
| ~ spl0_622 ),
inference(constrained_superposition,[],[f596,f32955]) ).
thf(f33561,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_36
| ~ spl0_622 ),
inference(trivial_inequality_removal,[],[f33553]) ).
thf(f33562,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_33
| ~ spl0_622 ),
inference(trivial_inequality_removal,[],[f33552]) ).
thf(f33568,plain,
( ~ spl0_544
| ~ spl0_33
| ~ spl0_622 ),
inference(avatar_split_clause,[],[f33562,f32954,f585,f28576]) ).
thf(f33570,plain,
( ~ spl0_425
| ~ spl0_36
| ~ spl0_622 ),
inference(avatar_split_clause,[],[f33561,f32954,f595,f25854]) ).
thf(f33571,plain,
( ~ spl0_43
| ~ spl0_33
| ~ spl0_613 ),
inference(avatar_split_clause,[],[f33353,f32844,f585,f704]) ).
thf(f33612,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_438 ),
inference(constrained_superposition,[],[f26279,f216]) ).
thf(f33616,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_438 ),
inference(trivial_inequality_removal,[],[f33612]) ).
thf(f33621,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_33
| ~ spl0_611 ),
inference(constrained_superposition,[],[f586,f32836]) ).
thf(f33626,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_33
| ~ spl0_611 ),
inference(trivial_inequality_removal,[],[f33621]) ).
thf(f33633,plain,
( ~ spl0_608
| ~ spl0_33
| ~ spl0_611 ),
inference(avatar_split_clause,[],[f33626,f32835,f585,f32302]) ).
thf(f33680,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f33306,f56]) ).
thf(f33683,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f33680]) ).
thf(f33715,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_45
| ~ spl0_227
| ~ spl0_236 ),
inference(constrained_superposition,[],[f32942,f14211]) ).
thf(f33717,plain,
( ( $true != $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_45
| ~ spl0_227 ),
inference(constrained_superposition,[],[f32942,f35]) ).
thf(f33720,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_45
| ~ spl0_227
| ~ spl0_236 ),
inference(trivial_inequality_removal,[],[f33715]) ).
thf(f33721,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_45
| ~ spl0_227 ),
inference(trivial_inequality_removal,[],[f33717]) ).
thf(f33725,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_28
| ~ spl0_45
| ~ spl0_227
| ~ spl0_236 ),
inference(forward_subsumption_resolution,[],[f33720,f28619]) ).
thf(f33726,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_39
| ~ spl0_45
| ~ spl0_227 ),
inference(forward_subsumption_resolution,[],[f33721,f28596]) ).
thf(f33728,plain,
( $false
| ~ spl0_28
| ~ spl0_39
| ~ spl0_45
| ~ spl0_227
| ~ spl0_236 ),
inference(forward_subsumption_resolution,[],[f33725,f28596]) ).
thf(f33729,plain,
( ~ spl0_28
| ~ spl0_39
| ~ spl0_45
| ~ spl0_227
| ~ spl0_236 ),
inference(avatar_contradiction_clause,[],[f33728]) ).
thf(f33730,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_39
| spl0_44
| ~ spl0_45
| ~ spl0_227 ),
inference(forward_subsumption_resolution,[],[f33726,f32842]) ).
thf(f33732,plain,
( $false
| ~ spl0_28
| ~ spl0_39
| spl0_44
| ~ spl0_45
| ~ spl0_227 ),
inference(forward_subsumption_resolution,[],[f33730,f28619]) ).
thf(f33733,plain,
( ~ spl0_28
| ~ spl0_39
| spl0_44
| ~ spl0_45
| ~ spl0_227 ),
inference(avatar_contradiction_clause,[],[f33732]) ).
thf(f33737,plain,
( spl0_227
| spl0_49
| ~ spl0_438 ),
inference(avatar_split_clause,[],[f33616,f26278,f860,f14149]) ).
thf(f33742,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_13
| ~ spl0_569 ),
inference(constrained_superposition,[],[f33363,f29945]) ).
thf(f33755,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_13
| ~ spl0_569 ),
inference(trivial_inequality_removal,[],[f33742]) ).
thf(f33762,plain,
( spl0_613
| ~ spl0_13
| ~ spl0_569 ),
inference(avatar_split_clause,[],[f33755,f29944,f241,f32844]) ).
thf(f33764,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| spl0_43 ),
inference(constrained_superposition,[],[f32614,f36]) ).
thf(f33765,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_43 ),
inference(trivial_inequality_removal,[],[f33764]) ).
thf(f33766,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_43 ),
inference(forward_subsumption_resolution,[],[f33765,f29]) ).
thf(f33767,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_13
| spl0_43 ),
inference(constrained_superposition,[],[f33363,f33766]) ).
thf(f33785,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_13
| spl0_43 ),
inference(trivial_inequality_removal,[],[f33767]) ).
thf(f33788,plain,
( spl0_613
| ~ spl0_13
| spl0_43 ),
inference(avatar_split_clause,[],[f33785,f704,f241,f32844]) ).
thf(f33817,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_45
| ~ spl0_439 ),
inference(constrained_superposition,[],[f716,f32864]) ).
thf(f33830,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_45
| ~ spl0_439 ),
inference(trivial_inequality_removal,[],[f33817]) ).
thf(f33839,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_252
| ~ spl0_423 ),
inference(constrained_superposition,[],[f14500,f25847]) ).
thf(f33840,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_375
| ~ spl0_423 ),
inference(constrained_superposition,[],[f23493,f25847]) ).
thf(f33847,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_252
| ~ spl0_423 ),
inference(trivial_inequality_removal,[],[f33839]) ).
thf(f33851,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_375
| ~ spl0_423 ),
inference(trivial_inequality_removal,[],[f33840]) ).
thf(f33853,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_375
| ~ spl0_423 ),
inference(constrained_superposition,[],[f33851,f36]) ).
thf(f33854,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_375
| ~ spl0_423 ),
inference(trivial_inequality_removal,[],[f33853]) ).
thf(f33855,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_248
| ~ spl0_375
| ~ spl0_423 ),
inference(forward_subsumption_resolution,[],[f33854,f25660]) ).
thf(f33856,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_13
| spl0_248
| ~ spl0_375
| ~ spl0_423 ),
inference(constrained_superposition,[],[f242,f33855]) ).
thf(f33865,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ~ spl0_13
| spl0_248
| ~ spl0_375
| ~ spl0_423 ),
inference(trivial_inequality_removal,[],[f33856]) ).
thf(f33871,plain,
( spl0_597
| ~ spl0_13
| spl0_248
| ~ spl0_375
| ~ spl0_423 ),
inference(avatar_split_clause,[],[f33865,f25846,f23492,f14423,f241,f31551]) ).
thf(f33896,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_431 ),
inference(constrained_superposition,[],[f233,f25879]) ).
thf(f33905,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_431 ),
inference(trivial_inequality_removal,[],[f33896]) ).
thf(f33998,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_45
| ~ spl0_439
| ~ spl0_451 ),
inference(constrained_superposition,[],[f33830,f26571]) ).
thf(f34000,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_45
| ~ spl0_439 ),
inference(constrained_superposition,[],[f33830,f35]) ).
thf(f34005,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_45
| ~ spl0_439
| ~ spl0_451 ),
inference(trivial_inequality_removal,[],[f33998]) ).
thf(f34010,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_45
| ~ spl0_439 ),
inference(trivial_inequality_removal,[],[f34000]) ).
thf(f34012,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_28
| ~ spl0_45
| ~ spl0_439
| ~ spl0_451 ),
inference(forward_subsumption_resolution,[],[f34005,f28619]) ).
thf(f34014,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_20
| ~ spl0_45
| ~ spl0_439 ),
inference(forward_subsumption_resolution,[],[f34010,f303]) ).
thf(f34016,plain,
( $false
| ~ spl0_28
| ~ spl0_39
| ~ spl0_45
| ~ spl0_439
| ~ spl0_451 ),
inference(forward_subsumption_resolution,[],[f34012,f28596]) ).
thf(f34017,plain,
( ~ spl0_28
| ~ spl0_39
| ~ spl0_45
| ~ spl0_439
| ~ spl0_451 ),
inference(avatar_contradiction_clause,[],[f34016]) ).
thf(f34019,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_20
| ~ spl0_28
| ~ spl0_45
| ~ spl0_439 ),
inference(forward_subsumption_resolution,[],[f34014,f28619]) ).
thf(f34023,plain,
( $false
| ~ spl0_20
| ~ spl0_28
| ~ spl0_39
| ~ spl0_45
| ~ spl0_439 ),
inference(forward_subsumption_resolution,[],[f34019,f28596]) ).
thf(f34024,plain,
( ~ spl0_20
| ~ spl0_28
| ~ spl0_39
| ~ spl0_45
| ~ spl0_439 ),
inference(avatar_contradiction_clause,[],[f34023]) ).
thf(f34031,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_252
| ~ spl0_423
| ~ spl0_544 ),
inference(forward_subsumption_resolution,[],[f33847,f28591]) ).
thf(f34032,plain,
( spl0_455
| ~ spl0_621
| spl0_435
| ~ spl0_431 ),
inference(avatar_split_clause,[],[f33905,f25878,f26083,f32885,f26749]) ).
thf(f34036,plain,
( ~ spl0_425
| ~ spl0_252
| ~ spl0_423
| ~ spl0_544 ),
inference(avatar_split_clause,[],[f34031,f28576,f25846,f14499,f25854]) ).
thf(f34059,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_607 ),
inference(constrained_superposition,[],[f32098,f34]) ).
thf(f34060,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_607 ),
inference(constrained_superposition,[],[f32098,f216]) ).
thf(f34066,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_607 ),
inference(trivial_inequality_removal,[],[f34059]) ).
thf(f34068,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_607 ),
inference(trivial_inequality_removal,[],[f34060]) ).
thf(f34071,plain,
( spl0_227
| ~ spl0_607 ),
inference(avatar_split_clause,[],[f34068,f32097,f14149]) ).
thf(f34072,plain,
( spl0_244
| ~ spl0_607 ),
inference(avatar_split_clause,[],[f34066,f32097,f14315]) ).
thf(f34076,plain,
( $false
| ~ spl0_560
| ~ spl0_607 ),
inference(forward_subsumption_resolution,[],[f28717,f32098]) ).
thf(f34077,plain,
( ~ spl0_560
| ~ spl0_607 ),
inference(avatar_contradiction_clause,[],[f34076]) ).
thf(f34101,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_138
| ~ spl0_227 ),
inference(constrained_superposition,[],[f6990,f32891]) ).
thf(f34102,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_227
| ~ spl0_507 ),
inference(constrained_superposition,[],[f27957,f32891]) ).
thf(f34110,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_138
| ~ spl0_227 ),
inference(trivial_inequality_removal,[],[f34101]) ).
thf(f34114,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_227
| ~ spl0_507 ),
inference(trivial_inequality_removal,[],[f34102]) ).
thf(f34115,plain,
( $false
| ~ spl0_138
| ~ spl0_227
| ~ spl0_369 ),
inference(forward_subsumption_resolution,[],[f34110,f28722]) ).
thf(f34116,plain,
( ~ spl0_138
| ~ spl0_227
| ~ spl0_369 ),
inference(avatar_contradiction_clause,[],[f34115]) ).
thf(f34117,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_43
| ~ spl0_227
| ~ spl0_507 ),
inference(forward_subsumption_resolution,[],[f34114,f705]) ).
thf(f34118,plain,
( $false
| ~ spl0_43
| ~ spl0_227
| ~ spl0_244
| ~ spl0_507 ),
inference(forward_subsumption_resolution,[],[f34117,f14316]) ).
thf(f34119,plain,
( ~ spl0_43
| ~ spl0_227
| ~ spl0_244
| ~ spl0_507 ),
inference(avatar_contradiction_clause,[],[f34118]) ).
thf(f34125,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| spl0_16
| ~ spl0_138 ),
inference(forward_subsumption_resolution,[],[f32982,f253]) ).
thf(f34128,plain,
( spl0_12
| ~ spl0_8
| spl0_6
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f33683,f524,f130,f137,f238]) ).
thf(f34130,plain,
( ~ spl0_8
| spl0_16
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f34125,f6989,f252,f137]) ).
thf(f34132,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_244
| ~ spl0_422
| ~ spl0_451 ),
inference(forward_subsumption_resolution,[],[f32993,f14316]) ).
thf(f34135,plain,
( spl0_612
| ~ spl0_244
| ~ spl0_422
| ~ spl0_451 ),
inference(avatar_split_clause,[],[f34132,f26570,f25842,f14315,f32839]) ).
thf(f34142,plain,
( ( $true != $true )
| ~ spl0_21
| ~ spl0_465 ),
inference(constrained_superposition,[],[f307,f26987]) ).
thf(f34143,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ z )
= X0 )
| ( ( r @ ( s @ z ) @ X0 )
= $true ) )
| ~ spl0_21 ),
inference(constrained_superposition,[],[f307,f28]) ).
thf(f34144,plain,
( $false
| ~ spl0_21
| ~ spl0_465 ),
inference(trivial_inequality_removal,[],[f34142]) ).
thf(f34145,plain,
( ~ spl0_21
| ~ spl0_465 ),
inference(avatar_contradiction_clause,[],[f34144]) ).
thf(f34149,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f34143]) ).
thf(f34150,plain,
( spl0_127
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f34149,f306,f6664]) ).
thf(f34152,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_21
| ~ spl0_451 ),
inference(forward_subsumption_resolution,[],[f32537,f307]) ).
thf(f34154,plain,
( spl0_6
| ~ spl0_8
| ~ spl0_21
| ~ spl0_451 ),
inference(avatar_split_clause,[],[f34152,f26570,f306,f137,f130]) ).
thf(f34171,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f49,f275]) ).
thf(f34174,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f34171]) ).
thf(f34206,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_6
| ~ spl0_369 ),
inference(constrained_superposition,[],[f131,f28722]) ).
thf(f34208,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_6
| ~ spl0_369 ),
inference(trivial_inequality_removal,[],[f34206]) ).
thf(f34217,plain,
( ~ spl0_244
| ~ spl0_6
| ~ spl0_369 ),
inference(avatar_split_clause,[],[f34208,f23450,f130,f14315]) ).
thf(f34219,plain,
( ~ spl0_244
| spl0_612
| ~ spl0_422
| ~ spl0_451 ),
inference(avatar_split_clause,[],[f32993,f26570,f25842,f32839,f14315]) ).
thf(f34230,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_569 ),
inference(constrained_superposition,[],[f27,f29945]) ).
thf(f34234,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_569 ),
inference(trivial_inequality_removal,[],[f34230]) ).
thf(f34243,plain,
( spl0_619
| ~ spl0_569 ),
inference(avatar_split_clause,[],[f34234,f29944,f32877]) ).
thf(f34303,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_43
| ~ spl0_612 ),
inference(constrained_superposition,[],[f32840,f705]) ).
thf(f34307,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_43
| ~ spl0_612 ),
inference(trivial_inequality_removal,[],[f34303]) ).
thf(f34308,plain,
( $false
| ~ spl0_8
| ~ spl0_43
| ~ spl0_612 ),
inference(forward_subsumption_resolution,[],[f34307,f541]) ).
thf(f34309,plain,
( ~ spl0_8
| ~ spl0_43
| ~ spl0_612 ),
inference(avatar_contradiction_clause,[],[f34308]) ).
thf(f34312,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_424 ),
inference(constrained_superposition,[],[f63,f25850]) ).
thf(f34324,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_424 ),
inference(trivial_inequality_removal,[],[f34312]) ).
thf(f34347,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_58
| ~ spl0_455 ),
inference(constrained_superposition,[],[f1081,f33047]) ).
thf(f34353,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_58
| ~ spl0_455 ),
inference(trivial_inequality_removal,[],[f34347]) ).
thf(f34360,plain,
( $false
| ~ spl0_58
| ~ spl0_455
| ~ spl0_608 ),
inference(forward_subsumption_resolution,[],[f34353,f32303]) ).
thf(f34361,plain,
( ~ spl0_58
| ~ spl0_455
| ~ spl0_608 ),
inference(avatar_contradiction_clause,[],[f34360]) ).
thf(f34386,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_368 ),
inference(constrained_superposition,[],[f23448,f35]) ).
thf(f34392,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f34386]) ).
thf(f34397,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| spl0_44
| ~ spl0_368 ),
inference(forward_subsumption_resolution,[],[f34392,f32842]) ).
thf(f34400,plain,
( $false
| ~ spl0_8
| spl0_44
| ~ spl0_368 ),
inference(forward_subsumption_resolution,[],[f34397,f541]) ).
thf(f34401,plain,
( ~ spl0_8
| spl0_44
| ~ spl0_368 ),
inference(avatar_contradiction_clause,[],[f34400]) ).
thf(f34405,plain,
( $false
| ~ spl0_21
| ~ spl0_251 ),
inference(forward_subsumption_resolution,[],[f14440,f307]) ).
thf(f34406,plain,
( ~ spl0_21
| ~ spl0_251 ),
inference(avatar_contradiction_clause,[],[f34405]) ).
thf(f34408,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_251 ),
inference(avatar_component_clause,[],[f14439]) ).
thf(f34409,plain,
( ~ spl0_251
| spl0_544
| spl0_438
| ~ spl0_424 ),
inference(avatar_split_clause,[],[f34324,f25849,f26278,f28576,f14439]) ).
thf(f34410,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( ( r @ X0 @ z )
!= $true ) )
| spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f34174,f253]) ).
thf(f34418,plain,
( ~ spl0_8
| spl0_6
| spl0_16
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f34410,f274,f252,f130,f137]) ).
thf(f34434,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_39 ),
inference(constrained_superposition,[],[f30,f28596]) ).
thf(f34435,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f34434]) ).
thf(f34490,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ z ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_43 ),
inference(constrained_superposition,[],[f49,f705]) ).
thf(f34492,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ z @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_43 ),
inference(trivial_inequality_removal,[],[f34490]) ).
thf(f34494,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ z ) )
= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_43
| ~ spl0_244 ),
inference(forward_subsumption_resolution,[],[f34492,f14316]) ).
thf(f34495,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| spl0_1
| ~ spl0_43
| ~ spl0_244 ),
inference(forward_subsumption_resolution,[],[f34494,f67]) ).
thf(f34496,plain,
( spl0_612
| spl0_1
| ~ spl0_43
| ~ spl0_244 ),
inference(avatar_split_clause,[],[f34495,f14315,f704,f66,f32839]) ).
thf(f34509,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_465 ),
inference(constrained_superposition,[],[f27,f26987]) ).
thf(f34515,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_465 ),
inference(trivial_inequality_removal,[],[f34509]) ).
thf(f34521,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_227 ),
inference(constrained_superposition,[],[f30,f32891]) ).
thf(f34523,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_227 ),
inference(trivial_inequality_removal,[],[f34521]) ).
thf(f34549,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_439 ),
inference(constrained_superposition,[],[f30,f32864]) ).
thf(f34553,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_439 ),
inference(trivial_inequality_removal,[],[f34549]) ).
thf(f34558,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_422
| ~ spl0_612 ),
inference(constrained_superposition,[],[f32840,f25843]) ).
thf(f34561,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_422
| ~ spl0_612 ),
inference(trivial_inequality_removal,[],[f34558]) ).
thf(f34587,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_244
| ~ spl0_609 ),
inference(constrained_superposition,[],[f32613,f14316]) ).
thf(f34591,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_422
| ~ spl0_609 ),
inference(constrained_superposition,[],[f32613,f25843]) ).
thf(f34592,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_244
| ~ spl0_609 ),
inference(trivial_inequality_removal,[],[f34587]) ).
thf(f34596,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_422
| ~ spl0_609 ),
inference(trivial_inequality_removal,[],[f34591]) ).
thf(f34597,plain,
( $false
| ~ spl0_39
| ~ spl0_244
| ~ spl0_609 ),
inference(forward_subsumption_resolution,[],[f34592,f28596]) ).
thf(f34598,plain,
( ~ spl0_39
| ~ spl0_244
| ~ spl0_609 ),
inference(avatar_contradiction_clause,[],[f34597]) ).
thf(f34600,plain,
( $false
| ~ spl0_422
| ~ spl0_544
| ~ spl0_609 ),
inference(forward_subsumption_resolution,[],[f34596,f28591]) ).
thf(f34601,plain,
( ~ spl0_422
| ~ spl0_544
| ~ spl0_609 ),
inference(avatar_contradiction_clause,[],[f34600]) ).
thf(f34602,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_559
| ~ spl0_612 ),
inference(constrained_superposition,[],[f32840,f28714]) ).
thf(f34606,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_559
| ~ spl0_612 ),
inference(trivial_inequality_removal,[],[f34602]) ).
thf(f34610,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_37
| ~ spl0_428 ),
inference(constrained_superposition,[],[f601,f25869]) ).
thf(f34627,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_37
| ~ spl0_428 ),
inference(trivial_inequality_removal,[],[f34610]) ).
thf(f34632,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_500
| ~ spl0_610 ),
inference(constrained_superposition,[],[f32625,f28734]) ).
thf(f34635,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_500
| ~ spl0_610 ),
inference(trivial_inequality_removal,[],[f34632]) ).
thf(f34637,plain,
( $false
| ~ spl0_43
| ~ spl0_500
| ~ spl0_610 ),
inference(forward_subsumption_resolution,[],[f34635,f705]) ).
thf(f34638,plain,
( ~ spl0_43
| ~ spl0_500
| ~ spl0_610 ),
inference(avatar_contradiction_clause,[],[f34637]) ).
thf(f34640,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_4
| ~ spl0_601 ),
inference(constrained_superposition,[],[f97,f31583]) ).
thf(f34646,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ~ spl0_4
| ~ spl0_601 ),
inference(trivial_inequality_removal,[],[f34640]) ).
thf(f34651,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_4
| ~ spl0_601 ),
inference(constrained_superposition,[],[f34646,f34]) ).
thf(f34659,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_4
| ~ spl0_601 ),
inference(trivial_inequality_removal,[],[f34651]) ).
thf(f34665,plain,
( spl0_444
| ~ spl0_4
| ~ spl0_601 ),
inference(avatar_split_clause,[],[f34659,f31582,f96,f26496]) ).
thf(f34667,plain,
( ~ spl0_444
| ~ spl0_559
| ~ spl0_612 ),
inference(avatar_split_clause,[],[f34606,f32839,f28713,f26496]) ).
thf(f34676,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_575 ),
inference(constrained_superposition,[],[f30,f31251]) ).
thf(f34679,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_575 ),
inference(trivial_inequality_removal,[],[f34676]) ).
thf(f34745,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ z ) )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_80 ),
inference(constrained_superposition,[],[f2460,f35]) ).
thf(f34750,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ z @ ( s @ z ) )
= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_80 ),
inference(duplicate_literal_removal,[],[f34745]) ).
thf(f34751,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( b @ z @ ( s @ z ) )
= $true ) )
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f34750]) ).
thf(f34758,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| spl0_1
| ~ spl0_80 ),
inference(forward_subsumption_resolution,[],[f34751,f67]) ).
thf(f34761,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| spl0_1
| ~ spl0_43
| ~ spl0_80 ),
inference(constrained_superposition,[],[f34758,f705]) ).
thf(f34765,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_1
| ~ spl0_43
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f34761]) ).
thf(f34771,plain,
( $false
| spl0_1
| ~ spl0_43
| ~ spl0_80
| ~ spl0_244 ),
inference(forward_subsumption_resolution,[],[f34765,f14316]) ).
thf(f34772,plain,
( spl0_1
| ~ spl0_43
| ~ spl0_80
| ~ spl0_244 ),
inference(avatar_contradiction_clause,[],[f34771]) ).
thf(f34799,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_27
| ~ spl0_422 ),
inference(constrained_superposition,[],[f522,f25843]) ).
thf(f34803,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_27
| ~ spl0_422 ),
inference(trivial_inequality_removal,[],[f34799]) ).
thf(f34831,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_231
| ~ spl0_455 ),
inference(constrained_superposition,[],[f14173,f33047]) ).
thf(f34833,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_231
| ~ spl0_455 ),
inference(trivial_inequality_removal,[],[f34831]) ).
thf(f34841,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_231
| ~ spl0_455
| ~ spl0_608 ),
inference(forward_subsumption_resolution,[],[f34833,f32303]) ).
thf(f34846,plain,
( spl0_610
| ~ spl0_231
| ~ spl0_455
| ~ spl0_608 ),
inference(avatar_split_clause,[],[f34841,f32302,f26749,f14172,f32624]) ).
thf(f34866,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_428
| ~ spl0_465 ),
inference(constrained_superposition,[],[f34515,f25869]) ).
thf(f34867,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_465 ),
inference(constrained_superposition,[],[f34515,f216]) ).
thf(f34872,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_465 ),
inference(trivial_inequality_removal,[],[f34867]) ).
thf(f34875,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_428
| ~ spl0_465 ),
inference(trivial_inequality_removal,[],[f34866]) ).
thf(f34878,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_428
| ~ spl0_465
| ~ spl0_545 ),
inference(forward_subsumption_resolution,[],[f34875,f28580]) ).
thf(f34879,plain,
( spl0_447
| ~ spl0_428
| ~ spl0_465
| ~ spl0_545 ),
inference(avatar_split_clause,[],[f34878,f28579,f26986,f25868,f26514]) ).
thf(f34880,plain,
( ( $true != $true )
| ~ spl0_20
| ~ spl0_44 ),
inference(constrained_superposition,[],[f303,f708]) ).
thf(f34883,plain,
( $false
| ~ spl0_20
| ~ spl0_44 ),
inference(trivial_inequality_removal,[],[f34880]) ).
thf(f34884,plain,
( ~ spl0_20
| ~ spl0_44 ),
inference(avatar_contradiction_clause,[],[f34883]) ).
thf(f34887,plain,
( ~ spl0_425
| ~ spl0_422
| ~ spl0_612 ),
inference(avatar_split_clause,[],[f34561,f32839,f25842,f25854]) ).
thf(f34890,definition,
( spl0_624
<=> ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_624])],[avatar_definition]) ).
thf(f34891,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ~ spl0_624 ),
inference(avatar_component_clause,[],[f34890]) ).
thf(f34892,plain,
( ~ spl0_582
| spl0_622
| spl0_624
| ~ spl0_37
| ~ spl0_428 ),
inference(avatar_split_clause,[],[f34627,f25868,f600,f34890,f32954,f31403]) ).
thf(f34893,plain,
( ~ spl0_236
| spl0_582
| ~ spl0_27
| ~ spl0_422 ),
inference(avatar_split_clause,[],[f34803,f25842,f521,f31403,f14210]) ).
thf(f34949,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_244 ),
inference(constrained_superposition,[],[f30,f14316]) ).
thf(f34952,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_244 ),
inference(trivial_inequality_removal,[],[f34949]) ).
thf(f34989,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_9
| ~ spl0_608 ),
inference(constrained_superposition,[],[f152,f32303]) ).
thf(f34993,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_9
| ~ spl0_608 ),
inference(trivial_inequality_removal,[],[f34989]) ).
thf(f34997,plain,
( $false
| ~ spl0_9
| ~ spl0_575
| ~ spl0_608 ),
inference(forward_subsumption_resolution,[],[f34993,f31251]) ).
thf(f34998,plain,
( ~ spl0_9
| ~ spl0_575
| ~ spl0_608 ),
inference(avatar_contradiction_clause,[],[f34997]) ).
thf(f35004,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_624 ),
inference(constrained_superposition,[],[f34891,f34]) ).
thf(f35007,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_624 ),
inference(constrained_superposition,[],[f34891,f55]) ).
thf(f35010,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_624 ),
inference(trivial_inequality_removal,[],[f35007]) ).
thf(f35011,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_624 ),
inference(trivial_inequality_removal,[],[f35004]) ).
thf(f35017,plain,
( spl0_608
| ~ spl0_624 ),
inference(avatar_split_clause,[],[f35010,f34890,f32302]) ).
thf(f35018,plain,
( $false
| spl0_444
| ~ spl0_624 ),
inference(forward_subsumption_resolution,[],[f35011,f27202]) ).
thf(f35019,plain,
( spl0_444
| ~ spl0_624 ),
inference(avatar_contradiction_clause,[],[f35018]) ).
thf(f35094,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_455
| ~ spl0_584 ),
inference(constrained_superposition,[],[f31417,f33047]) ).
thf(f35096,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_455
| ~ spl0_584 ),
inference(trivial_inequality_removal,[],[f35094]) ).
thf(f35097,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_70
| spl0_236 ),
inference(constrained_superposition,[],[f16034,f1743]) ).
thf(f35110,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_70
| spl0_236 ),
inference(trivial_inequality_removal,[],[f35097]) ).
thf(f35111,plain,
( $false
| ~ spl0_70
| spl0_236 ),
inference(forward_subsumption_resolution,[],[f35110,f29]) ).
thf(f35112,plain,
( ~ spl0_70
| spl0_236 ),
inference(avatar_contradiction_clause,[],[f35111]) ).
thf(f35113,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_32
| ~ spl0_429 ),
inference(constrained_superposition,[],[f545,f25872]) ).
thf(f35114,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) )
| ~ spl0_429 ),
inference(constrained_superposition,[],[f127,f25872]) ).
thf(f35117,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_32
| ~ spl0_429 ),
inference(trivial_inequality_removal,[],[f35113]) ).
thf(f35118,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_429 ),
inference(trivial_inequality_removal,[],[f35114]) ).
thf(f35175,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_244 ),
inference(constrained_superposition,[],[f34952,f35]) ).
thf(f35183,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_244 ),
inference(duplicate_literal_removal,[],[f35175]) ).
thf(f35184,plain,
( ! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_244 ),
inference(trivial_inequality_removal,[],[f35183]) ).
thf(f35214,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_46 ),
inference(constrained_superposition,[],[f720,f56]) ).
thf(f35217,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_46 ),
inference(duplicate_literal_removal,[],[f35214]) ).
thf(f35218,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_46 ),
inference(trivial_inequality_removal,[],[f35217]) ).
thf(f35224,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_46
| spl0_251 ),
inference(forward_subsumption_resolution,[],[f35218,f34408]) ).
thf(f35225,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_46
| spl0_251 ),
inference(constrained_superposition,[],[f35224,f35]) ).
thf(f35234,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_46
| spl0_251 ),
inference(trivial_inequality_removal,[],[f35225]) ).
thf(f35238,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_227
| ~ spl0_423 ),
inference(constrained_superposition,[],[f34523,f25847]) ).
thf(f35241,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_227
| ~ spl0_423 ),
inference(trivial_inequality_removal,[],[f35238]) ).
thf(f35245,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_227
| ~ spl0_423
| ~ spl0_451 ),
inference(constrained_superposition,[],[f35241,f26571]) ).
thf(f35246,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_227
| ~ spl0_423 ),
inference(constrained_superposition,[],[f35241,f35]) ).
thf(f35255,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_227
| ~ spl0_423
| ~ spl0_451 ),
inference(trivial_inequality_removal,[],[f35245]) ).
thf(f35256,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_227
| ~ spl0_423 ),
inference(trivial_inequality_removal,[],[f35246]) ).
thf(f35259,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_422 ),
inference(constrained_superposition,[],[f32991,f35]) ).
thf(f35260,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_422 ),
inference(constrained_superposition,[],[f32991,f56]) ).
thf(f35268,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_422 ),
inference(trivial_inequality_removal,[],[f35260]) ).
thf(f35269,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_422 ),
inference(trivial_inequality_removal,[],[f35259]) ).
thf(f35270,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_439
| ~ spl0_451 ),
inference(constrained_superposition,[],[f34553,f26571]) ).
thf(f35276,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_439
| ~ spl0_451 ),
inference(trivial_inequality_removal,[],[f35270]) ).
thf(f35282,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_28
| ~ spl0_439
| ~ spl0_451 ),
inference(forward_subsumption_resolution,[],[f35276,f28619]) ).
thf(f35291,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_28
| ~ spl0_430
| ~ spl0_439
| ~ spl0_451 ),
inference(constrained_superposition,[],[f35282,f25876]) ).
thf(f35297,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_28
| ~ spl0_430
| ~ spl0_439
| ~ spl0_451 ),
inference(trivial_inequality_removal,[],[f35291]) ).
thf(f35299,plain,
( $false
| ~ spl0_28
| ~ spl0_430
| ~ spl0_439
| ~ spl0_451
| ~ spl0_575 ),
inference(forward_subsumption_resolution,[],[f35297,f31251]) ).
thf(f35300,plain,
( ~ spl0_28
| ~ spl0_430
| ~ spl0_439
| ~ spl0_451
| ~ spl0_575 ),
inference(avatar_contradiction_clause,[],[f35299]) ).
thf(f35301,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_28
| ~ spl0_227
| ~ spl0_423
| ~ spl0_451 ),
inference(forward_subsumption_resolution,[],[f35255,f28619]) ).
thf(f35302,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_39
| ~ spl0_46
| spl0_251 ),
inference(forward_subsumption_resolution,[],[f35234,f28596]) ).
thf(f35304,definition,
( spl0_625
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_625])],[avatar_definition]) ).
thf(f35305,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_625 ),
inference(avatar_component_clause,[],[f35304]) ).
thf(f35307,plain,
( spl0_44
| spl0_255
| ~ spl0_244 ),
inference(avatar_split_clause,[],[f35184,f14315,f14522,f707]) ).
thf(f35308,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_28
| ~ spl0_227
| ~ spl0_423 ),
inference(forward_subsumption_resolution,[],[f35256,f28619]) ).
thf(f35313,plain,
( ~ spl0_236
| ~ spl0_28
| ~ spl0_227
| ~ spl0_423
| ~ spl0_451 ),
inference(avatar_split_clause,[],[f35301,f26570,f25846,f14149,f524,f14210]) ).
thf(f35314,plain,
( spl0_44
| ~ spl0_39
| ~ spl0_46
| spl0_251 ),
inference(avatar_split_clause,[],[f35302,f14439,f719,f614,f707]) ).
thf(f35315,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_28
| ~ spl0_227
| ~ spl0_423
| spl0_582 ),
inference(forward_subsumption_resolution,[],[f35308,f31539]) ).
thf(f35319,plain,
( ~ spl0_236
| ~ spl0_28
| ~ spl0_227
| ~ spl0_423
| spl0_582 ),
inference(avatar_split_clause,[],[f35315,f31403,f25846,f14149,f524,f14210]) ).
thf(f35320,plain,
( spl0_13
| ~ spl0_12
| spl0_439
| ~ spl0_465 ),
inference(avatar_split_clause,[],[f34872,f26986,f26326,f238,f241]) ).
thf(f35334,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_236
| ~ spl0_244 ),
inference(constrained_superposition,[],[f34952,f14211]) ).
thf(f35341,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_236
| ~ spl0_244 ),
inference(duplicate_literal_removal,[],[f35334]) ).
thf(f35342,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_236
| ~ spl0_244 ),
inference(trivial_inequality_removal,[],[f35341]) ).
thf(f35347,plain,
( spl0_255
| ~ spl0_236
| ~ spl0_244 ),
inference(avatar_split_clause,[],[f35342,f14315,f14210,f14522]) ).
thf(f35374,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_3
| ~ spl0_465 ),
inference(constrained_superposition,[],[f73,f26987]) ).
thf(f35378,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ~ spl0_3
| ~ spl0_465 ),
inference(trivial_inequality_removal,[],[f35374]) ).
thf(f35383,plain,
( spl0_597
| ~ spl0_3
| ~ spl0_465 ),
inference(avatar_split_clause,[],[f35378,f26986,f72,f31551]) ).
thf(f35423,definition,
( spl0_626
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_626])],[avatar_definition]) ).
thf(f35424,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_626 ),
inference(avatar_component_clause,[],[f35423]) ).
thf(f35426,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_422
| ~ spl0_626 ),
inference(constrained_superposition,[],[f32991,f35424]) ).
thf(f35430,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_626 ),
inference(constrained_superposition,[],[f49,f35424]) ).
thf(f35431,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_626 ),
inference(constrained_superposition,[],[f30,f35424]) ).
thf(f35432,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_626 ),
inference(trivial_inequality_removal,[],[f35431]) ).
thf(f35433,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_422
| ~ spl0_626 ),
inference(trivial_inequality_removal,[],[f35426]) ).
thf(f35437,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_626 ),
inference(trivial_inequality_removal,[],[f35430]) ).
thf(f35465,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_243 ),
inference(constrained_superposition,[],[f14313,f56]) ).
thf(f35466,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_243
| ~ spl0_423 ),
inference(constrained_superposition,[],[f14313,f25847]) ).
thf(f35470,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_243 ),
inference(trivial_inequality_removal,[],[f35465]) ).
thf(f35471,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_243
| ~ spl0_423 ),
inference(trivial_inequality_removal,[],[f35466]) ).
thf(f35476,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_39
| ~ spl0_243 ),
inference(forward_subsumption_resolution,[],[f35470,f28596]) ).
thf(f35481,plain,
( ~ spl0_451
| ~ spl0_243
| ~ spl0_423 ),
inference(avatar_split_clause,[],[f35471,f25846,f14312,f26570]) ).
thf(f35482,plain,
( spl0_251
| ~ spl0_39
| ~ spl0_243 ),
inference(avatar_split_clause,[],[f35476,f14312,f614,f14439]) ).
thf(f35483,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_422
| spl0_465 ),
inference(forward_subsumption_resolution,[],[f35268,f32617]) ).
thf(f35484,plain,
( ~ spl0_425
| ~ spl0_444
| ~ spl0_32
| ~ spl0_429 ),
inference(avatar_split_clause,[],[f35117,f25871,f544,f26496,f25854]) ).
thf(f35487,plain,
( $false
| ~ spl0_20
| ~ spl0_582 ),
inference(forward_subsumption_resolution,[],[f31404,f303]) ).
thf(f35488,plain,
( ~ spl0_20
| ~ spl0_582 ),
inference(avatar_contradiction_clause,[],[f35487]) ).
thf(f35489,plain,
( spl0_368
| ~ spl0_369
| ~ spl0_422
| ~ spl0_626 ),
inference(avatar_split_clause,[],[f35433,f35423,f25842,f23450,f23447]) ).
thf(f35490,plain,
( spl0_543
| spl0_545
| ~ spl0_544
| ~ spl0_429 ),
inference(avatar_split_clause,[],[f35118,f25871,f28576,f28579,f28573]) ).
thf(f35491,plain,
( spl0_368
| ~ spl0_369
| ~ spl0_422
| spl0_465 ),
inference(avatar_split_clause,[],[f35483,f26986,f25842,f23450,f23447]) ).
thf(f35555,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_32
| ~ spl0_544 ),
inference(constrained_superposition,[],[f545,f28591]) ).
thf(f35564,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_32
| ~ spl0_544 ),
inference(trivial_inequality_removal,[],[f35555]) ).
thf(f35599,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_255
| ~ spl0_423 ),
inference(constrained_superposition,[],[f14523,f25847]) ).
thf(f35602,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_255
| ~ spl0_423 ),
inference(trivial_inequality_removal,[],[f35599]) ).
thf(f35606,plain,
( $false
| ~ spl0_255
| ~ spl0_423
| ~ spl0_425 ),
inference(forward_subsumption_resolution,[],[f35602,f25855]) ).
thf(f35607,plain,
( ~ spl0_255
| ~ spl0_423
| ~ spl0_425 ),
inference(avatar_contradiction_clause,[],[f35606]) ).
thf(f35611,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_368
| ~ spl0_423 ),
inference(constrained_superposition,[],[f23448,f25847]) ).
thf(f35616,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_368
| ~ spl0_423 ),
inference(trivial_inequality_removal,[],[f35611]) ).
thf(f35618,plain,
( $false
| ~ spl0_368
| ~ spl0_423
| ~ spl0_626 ),
inference(forward_subsumption_resolution,[],[f35616,f35424]) ).
thf(f35619,plain,
( ~ spl0_368
| ~ spl0_423
| ~ spl0_626 ),
inference(avatar_contradiction_clause,[],[f35618]) ).
thf(f35622,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_544
| ~ spl0_583 ),
inference(constrained_superposition,[],[f31409,f28591]) ).
thf(f35631,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_544
| ~ spl0_583 ),
inference(trivial_inequality_removal,[],[f35622]) ).
thf(f35633,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_70
| spl0_451 ),
inference(constrained_superposition,[],[f30419,f1743]) ).
thf(f35649,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_70
| spl0_451 ),
inference(trivial_inequality_removal,[],[f35633]) ).
thf(f35653,plain,
( $false
| ~ spl0_70
| spl0_451 ),
inference(forward_subsumption_resolution,[],[f35649,f29]) ).
thf(f35654,plain,
( ~ spl0_70
| spl0_451 ),
inference(avatar_contradiction_clause,[],[f35653]) ).
thf(f35667,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_243
| ~ spl0_500 ),
inference(constrained_superposition,[],[f14313,f28734]) ).
thf(f35672,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_243
| ~ spl0_500 ),
inference(trivial_inequality_removal,[],[f35667]) ).
thf(f35677,plain,
( $false
| ~ spl0_243
| ~ spl0_500
| ~ spl0_575 ),
inference(forward_subsumption_resolution,[],[f35672,f31251]) ).
thf(f35678,plain,
( ~ spl0_243
| ~ spl0_500
| ~ spl0_575 ),
inference(avatar_contradiction_clause,[],[f35677]) ).
thf(f35713,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_423
| ~ spl0_625 ),
inference(constrained_superposition,[],[f35305,f25847]) ).
thf(f35718,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_423
| ~ spl0_625 ),
inference(trivial_inequality_removal,[],[f35713]) ).
thf(f35722,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_423
| ~ spl0_439
| ~ spl0_625 ),
inference(forward_subsumption_resolution,[],[f35718,f32864]) ).
thf(f35723,plain,
( $false
| ~ spl0_423
| ~ spl0_425
| ~ spl0_439
| ~ spl0_625 ),
inference(forward_subsumption_resolution,[],[f35722,f25855]) ).
thf(f35724,plain,
( ~ spl0_423
| ~ spl0_425
| ~ spl0_439
| ~ spl0_625 ),
inference(avatar_contradiction_clause,[],[f35723]) ).
thf(f35725,plain,
( ~ spl0_8
| spl0_6
| spl0_582
| ~ spl0_626 ),
inference(avatar_split_clause,[],[f35437,f35423,f31403,f130,f137]) ).
thf(f35728,plain,
( ~ spl0_8
| ~ spl0_544
| ~ spl0_583 ),
inference(avatar_split_clause,[],[f35631,f31408,f28576,f137]) ).
thf(f35729,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ z @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_236
| ~ spl0_422 ),
inference(forward_subsumption_resolution,[],[f35269,f14211]) ).
thf(f35730,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_32
| ~ spl0_425
| ~ spl0_544 ),
inference(forward_subsumption_resolution,[],[f35564,f25855]) ).
thf(f35731,plain,
( spl0_582
| spl0_243
| ~ spl0_236
| ~ spl0_422 ),
inference(avatar_split_clause,[],[f35729,f25842,f14210,f14312,f31403]) ).
thf(f35732,plain,
( ~ spl0_8
| ~ spl0_32
| ~ spl0_425
| ~ spl0_544 ),
inference(avatar_split_clause,[],[f35730,f28576,f25854,f544,f137]) ).
thf(f35751,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_22
| ~ spl0_39 ),
inference(constrained_superposition,[],[f34435,f310]) ).
thf(f35752,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_22 ),
inference(constrained_superposition,[],[f49,f310]) ).
thf(f35754,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ z @ ( s @ z ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f35752]) ).
thf(f35755,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_22
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f35751]) ).
thf(f35768,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_422
| ~ spl0_451 ),
inference(constrained_superposition,[],[f32991,f26571]) ).
thf(f35774,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ z @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_422
| ~ spl0_451 ),
inference(trivial_inequality_removal,[],[f35768]) ).
thf(f35776,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_236
| ~ spl0_422
| ~ spl0_451 ),
inference(forward_subsumption_resolution,[],[f35774,f14211]) ).
thf(f35777,plain,
( spl0_243
| ~ spl0_236
| ~ spl0_422
| ~ spl0_451 ),
inference(avatar_split_clause,[],[f35776,f26570,f25842,f14210,f14312]) ).
thf(f35816,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_13 ),
inference(constrained_superposition,[],[f242,f34]) ).
thf(f35824,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f35816]) ).
thf(f35829,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_584
| ~ spl0_608 ),
inference(constrained_superposition,[],[f31417,f32303]) ).
thf(f35832,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( b @ z @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true ) )
| ~ spl0_608 ),
inference(constrained_superposition,[],[f49,f32303]) ).
thf(f35837,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_584
| ~ spl0_608 ),
inference(trivial_inequality_removal,[],[f35829]) ).
thf(f35838,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ z ) )
= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_608 ),
inference(trivial_inequality_removal,[],[f35832]) ).
thf(f35839,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_422
| ~ spl0_622 ),
inference(constrained_superposition,[],[f32991,f32955]) ).
thf(f35841,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_622 ),
inference(constrained_superposition,[],[f49,f32955]) ).
thf(f35843,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_422
| ~ spl0_622 ),
inference(trivial_inequality_removal,[],[f35839]) ).
thf(f35844,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_622 ),
inference(trivial_inequality_removal,[],[f35841]) ).
thf(f35847,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_422
| ~ spl0_613
| ~ spl0_622 ),
inference(forward_subsumption_resolution,[],[f35843,f32845]) ).
thf(f35848,plain,
( spl0_375
| ~ spl0_422
| ~ spl0_613
| ~ spl0_622 ),
inference(avatar_split_clause,[],[f35847,f32954,f32844,f25842,f23492]) ).
thf(f35871,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_243
| ~ spl0_613 ),
inference(constrained_superposition,[],[f14313,f32845]) ).
thf(f35875,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_243
| ~ spl0_613 ),
inference(trivial_inequality_removal,[],[f35871]) ).
thf(f35878,plain,
( $false
| ~ spl0_28
| ~ spl0_243
| ~ spl0_613 ),
inference(forward_subsumption_resolution,[],[f35875,f28619]) ).
thf(f35879,plain,
( ~ spl0_28
| ~ spl0_243
| ~ spl0_613 ),
inference(avatar_contradiction_clause,[],[f35878]) ).
thf(f35881,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_421 ),
inference(constrained_superposition,[],[f233,f25840]) ).
thf(f35882,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_421 ),
inference(constrained_superposition,[],[f63,f25840]) ).
thf(f35886,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_421 ),
inference(constrained_superposition,[],[f27,f25840]) ).
thf(f35891,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_421 ),
inference(trivial_inequality_removal,[],[f35882]) ).
thf(f35892,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_421 ),
inference(trivial_inequality_removal,[],[f35881]) ).
thf(f35896,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_421 ),
inference(trivial_inequality_removal,[],[f35886]) ).
thf(f35898,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_43
| ~ spl0_421 ),
inference(forward_subsumption_resolution,[],[f35891,f32614]) ).
thf(f35900,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_43
| ~ spl0_97
| ~ spl0_421 ),
inference(forward_subsumption_resolution,[],[f35898,f3656]) ).
thf(f35901,plain,
( spl0_435
| spl0_43
| ~ spl0_97
| ~ spl0_421 ),
inference(avatar_split_clause,[],[f35900,f25839,f3655,f704,f26083]) ).
thf(f35903,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_424 ),
inference(constrained_superposition,[],[f233,f25850]) ).
thf(f35911,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_424 ),
inference(trivial_inequality_removal,[],[f35903]) ).
thf(f35921,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_575
| ~ spl0_611 ),
inference(constrained_superposition,[],[f34679,f32836]) ).
thf(f35926,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_575
| ~ spl0_611 ),
inference(trivial_inequality_removal,[],[f35921]) ).
thf(f35930,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_424
| ~ spl0_435 ),
inference(constrained_superposition,[],[f26084,f25850]) ).
thf(f35932,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_435 ),
inference(constrained_superposition,[],[f26084,f216]) ).
thf(f35937,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_435 ),
inference(trivial_inequality_removal,[],[f35932]) ).
thf(f35939,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ~ spl0_424
| ~ spl0_435 ),
inference(trivial_inequality_removal,[],[f35930]) ).
thf(f35944,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ~ spl0_435
| spl0_439 ),
inference(forward_subsumption_resolution,[],[f35937,f26327]) ).
thf(f35945,plain,
( spl0_607
| ~ spl0_424
| ~ spl0_435 ),
inference(avatar_split_clause,[],[f35939,f26083,f25849,f32097]) ).
thf(f35946,plain,
( spl0_49
| ~ spl0_435
| spl0_439 ),
inference(avatar_split_clause,[],[f35944,f26326,f26083,f860]) ).
thf(f35949,plain,
( spl0_20
| spl0_19
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f35824,f241,f299,f302]) ).
thf(f35951,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| spl0_1
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f35754,f67]) ).
thf(f35952,plain,
( spl0_43
| ~ spl0_465
| spl0_435
| ~ spl0_421 ),
inference(avatar_split_clause,[],[f35891,f25839,f26083,f26986,f704]) ).
thf(f35953,plain,
( spl0_582
| spl0_36
| ~ spl0_19
| ~ spl0_622 ),
inference(avatar_split_clause,[],[f35844,f32954,f299,f595,f31403]) ).
thf(f35954,plain,
( spl0_36
| ~ spl0_19
| ~ spl0_22
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f35755,f614,f309,f299,f595]) ).
thf(f35956,plain,
( spl0_36
| ~ spl0_19
| ~ spl0_575
| ~ spl0_611 ),
inference(avatar_split_clause,[],[f35926,f32835,f30446,f299,f595]) ).
thf(f35957,plain,
( ~ spl0_19
| ~ spl0_455
| ~ spl0_584 ),
inference(avatar_split_clause,[],[f35096,f31416,f26749,f299]) ).
thf(f35961,plain,
( spl0_36
| ~ spl0_19
| spl0_1
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f35951,f309,f66,f299,f595]) ).
thf(f35999,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_36
| ~ spl0_611 ),
inference(constrained_superposition,[],[f596,f32836]) ).
thf(f36003,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_36
| ~ spl0_611 ),
inference(trivial_inequality_removal,[],[f35999]) ).
thf(f36073,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_252
| ~ spl0_613 ),
inference(constrained_superposition,[],[f14500,f32845]) ).
thf(f36075,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_252
| ~ spl0_613 ),
inference(trivial_inequality_removal,[],[f36073]) ).
thf(f36080,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_19
| ~ spl0_252
| ~ spl0_613 ),
inference(forward_subsumption_resolution,[],[f36075,f300]) ).
thf(f36081,plain,
( $false
| ~ spl0_19
| ~ spl0_22
| ~ spl0_252
| ~ spl0_613 ),
inference(forward_subsumption_resolution,[],[f36080,f310]) ).
thf(f36082,plain,
( ~ spl0_19
| ~ spl0_22
| ~ spl0_252
| ~ spl0_613 ),
inference(avatar_contradiction_clause,[],[f36081]) ).
thf(f36083,plain,
( ~ spl0_623
| spl0_438
| spl0_439
| ~ spl0_424 ),
inference(avatar_split_clause,[],[f35911,f25849,f26326,f26278,f33045]) ).
thf(f36084,plain,
( ~ spl0_444
| ~ spl0_36
| ~ spl0_611 ),
inference(avatar_split_clause,[],[f36003,f32835,f595,f26496]) ).
thf(f36085,plain,
( ( z
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| spl0_22 ),
inference(constrained_superposition,[],[f1070,f36]) ).
thf(f36086,plain,
( ( z
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| spl0_22 ),
inference(trivial_inequality_removal,[],[f36085]) ).
thf(f36087,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| spl0_22 ),
inference(forward_subsumption_resolution,[],[f36086,f29]) ).
thf(f36108,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_439
| ~ spl0_583 ),
inference(constrained_superposition,[],[f31409,f32864]) ).
thf(f36114,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_439 ),
inference(constrained_superposition,[],[f30,f32864]) ).
thf(f36115,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_439
| ~ spl0_583 ),
inference(trivial_inequality_removal,[],[f36108]) ).
thf(f36118,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_439 ),
inference(trivial_inequality_removal,[],[f36114]) ).
thf(f36122,plain,
( $false
| ~ spl0_19
| ~ spl0_439
| ~ spl0_583 ),
inference(forward_subsumption_resolution,[],[f36115,f300]) ).
thf(f36123,plain,
( ~ spl0_19
| ~ spl0_439
| ~ spl0_583 ),
inference(avatar_contradiction_clause,[],[f36122]) ).
thf(f36126,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_560 ),
inference(constrained_superposition,[],[f63,f28717]) ).
thf(f36140,plain,
( ! [X0: $i,X1: $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 )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_560 ),
inference(trivial_inequality_removal,[],[f36126]) ).
thf(f36145,definition,
( spl0_627
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_627])],[avatar_definition]) ).
thf(f36146,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| spl0_627 ),
inference(avatar_component_clause,[],[f36145]) ).
thf(f36150,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_252
| ~ spl0_500 ),
inference(constrained_superposition,[],[f14500,f28734]) ).
thf(f36155,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_252
| ~ spl0_500 ),
inference(trivial_inequality_removal,[],[f36150]) ).
thf(f36160,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_252
| ~ spl0_444
| ~ spl0_500 ),
inference(forward_subsumption_resolution,[],[f36155,f26497]) ).
thf(f36161,plain,
( $false
| ~ spl0_252
| ~ spl0_444
| ~ spl0_500
| ~ spl0_608 ),
inference(forward_subsumption_resolution,[],[f36160,f32303]) ).
thf(f36162,plain,
( ~ spl0_252
| ~ spl0_444
| ~ spl0_500
| ~ spl0_608 ),
inference(avatar_contradiction_clause,[],[f36161]) ).
thf(f36165,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_30
| ~ spl0_455 ),
inference(constrained_superposition,[],[f534,f33047]) ).
thf(f36176,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_30
| ~ spl0_455 ),
inference(trivial_inequality_removal,[],[f36165]) ).
thf(f36177,plain,
( $false
| ~ spl0_30
| ~ spl0_444
| ~ spl0_455 ),
inference(forward_subsumption_resolution,[],[f36176,f26497]) ).
thf(f36178,plain,
( ~ spl0_30
| ~ spl0_444
| ~ spl0_455 ),
inference(avatar_contradiction_clause,[],[f36177]) ).
thf(f36201,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_431
| ~ spl0_447 ),
inference(constrained_superposition,[],[f26515,f25879]) ).
thf(f36202,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_447
| ~ spl0_564 ),
inference(constrained_superposition,[],[f26515,f28737]) ).
thf(f36203,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_447
| ~ spl0_570 ),
inference(constrained_superposition,[],[f26515,f29950]) ).
thf(f36209,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ~ spl0_447
| ~ spl0_564 ),
inference(trivial_inequality_removal,[],[f36202]) ).
thf(f36211,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ~ spl0_447
| ~ spl0_570 ),
inference(trivial_inequality_removal,[],[f36203]) ).
thf(f36214,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ~ spl0_431
| ~ spl0_447 ),
inference(trivial_inequality_removal,[],[f36201]) ).
thf(f36216,plain,
( spl0_607
| ~ spl0_447
| ~ spl0_564 ),
inference(avatar_split_clause,[],[f36209,f28736,f26514,f32097]) ).
thf(f36217,plain,
( spl0_49
| ~ spl0_447
| ~ spl0_570 ),
inference(avatar_split_clause,[],[f36211,f29949,f26514,f860]) ).
thf(f36218,plain,
( spl0_597
| ~ spl0_431
| ~ spl0_447 ),
inference(avatar_split_clause,[],[f36214,f26514,f25878,f31551]) ).
thf(f36224,plain,
( ~ spl0_8
| ~ spl0_584
| ~ spl0_608 ),
inference(avatar_split_clause,[],[f35837,f32302,f31416,f137]) ).
thf(f36229,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ ( s @ z ) )
= $true ) )
| ~ spl0_444
| ~ spl0_608 ),
inference(forward_subsumption_resolution,[],[f35838,f26497]) ).
thf(f36230,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| spl0_545 ),
inference(avatar_component_clause,[],[f28579]) ).
thf(f36231,plain,
( spl0_447
| ~ spl0_545
| spl0_43
| ~ spl0_560 ),
inference(avatar_split_clause,[],[f36140,f28716,f704,f28579,f26514]) ).
thf(f36232,plain,
( spl0_1
| spl0_584
| ~ spl0_444
| ~ spl0_608 ),
inference(avatar_split_clause,[],[f36229,f32302,f26496,f31416,f66]) ).
thf(f36274,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_369 ),
inference(constrained_superposition,[],[f30,f28722]) ).
thf(f36277,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_369 ),
inference(trivial_inequality_removal,[],[f36274]) ).
thf(f36291,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| spl0_43 ),
inference(constrained_superposition,[],[f32614,f36]) ).
thf(f36292,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_43 ),
inference(trivial_inequality_removal,[],[f36291]) ).
thf(f36293,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_43 ),
inference(forward_subsumption_resolution,[],[f36292,f29]) ).
thf(f36294,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_37
| spl0_43 ),
inference(constrained_superposition,[],[f601,f36293]) ).
thf(f36295,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| spl0_43 ),
inference(constrained_superposition,[],[f233,f36293]) ).
thf(f36303,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_37
| spl0_43 ),
inference(trivial_inequality_removal,[],[f36294]) ).
thf(f36308,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| spl0_43 ),
inference(trivial_inequality_removal,[],[f36295]) ).
thf(f36315,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f131,f56]) ).
thf(f36316,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_6
| ~ spl0_626 ),
inference(constrained_superposition,[],[f131,f35424]) ).
thf(f36320,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_6
| ~ spl0_626 ),
inference(trivial_inequality_removal,[],[f36316]) ).
thf(f36322,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f36315]) ).
thf(f36341,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_438 ),
inference(constrained_superposition,[],[f26279,f34]) ).
thf(f36342,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_421
| ~ spl0_438 ),
inference(constrained_superposition,[],[f26279,f25840]) ).
thf(f36350,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ~ spl0_421
| ~ spl0_438 ),
inference(trivial_inequality_removal,[],[f36342]) ).
thf(f36355,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_438 ),
inference(trivial_inequality_removal,[],[f36341]) ).
thf(f36357,plain,
( spl0_597
| ~ spl0_421
| ~ spl0_438 ),
inference(avatar_split_clause,[],[f36350,f26278,f25839,f31551]) ).
thf(f36359,plain,
( ! [X0: $i] :
( ( b @ z @ X0 )
!= $true )
| spl0_244
| ~ spl0_438 ),
inference(forward_subsumption_resolution,[],[f36355,f20224]) ).
thf(f36360,plain,
( spl0_20
| spl0_244
| ~ spl0_438 ),
inference(avatar_split_clause,[],[f36359,f26278,f14315,f302]) ).
thf(f36438,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_431 ),
inference(constrained_superposition,[],[f63,f25879]) ).
thf(f36453,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_431 ),
inference(trivial_inequality_removal,[],[f36438]) ).
thf(f36480,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_369
| ~ spl0_625 ),
inference(constrained_superposition,[],[f35305,f28722]) ).
thf(f36481,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_625 ),
inference(constrained_superposition,[],[f35305,f56]) ).
thf(f36485,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_625 ),
inference(trivial_inequality_removal,[],[f36481]) ).
thf(f36487,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_369
| ~ spl0_625 ),
inference(trivial_inequality_removal,[],[f36480]) ).
thf(f36489,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_21
| ~ spl0_625 ),
inference(forward_subsumption_resolution,[],[f36485,f307]) ).
thf(f36490,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_17
| ~ spl0_369
| ~ spl0_625 ),
inference(forward_subsumption_resolution,[],[f36487,f275]) ).
thf(f36491,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_17
| ~ spl0_21
| ~ spl0_625 ),
inference(forward_subsumption_resolution,[],[f36489,f275]) ).
thf(f36492,plain,
( $false
| ~ spl0_8
| ~ spl0_17
| ~ spl0_369
| ~ spl0_625 ),
inference(forward_subsumption_resolution,[],[f36490,f541]) ).
thf(f36493,plain,
( ~ spl0_8
| ~ spl0_17
| ~ spl0_369
| ~ spl0_625 ),
inference(avatar_contradiction_clause,[],[f36492]) ).
thf(f36494,plain,
( $false
| ~ spl0_8
| ~ spl0_17
| ~ spl0_21
| ~ spl0_625 ),
inference(forward_subsumption_resolution,[],[f36491,f541]) ).
thf(f36495,plain,
( ~ spl0_8
| ~ spl0_17
| ~ spl0_21
| ~ spl0_625 ),
inference(avatar_contradiction_clause,[],[f36494]) ).
thf(f36520,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_627 ),
inference(constrained_superposition,[],[f36146,f28]) ).
thf(f36522,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| spl0_627 ),
inference(trivial_inequality_removal,[],[f36520]) ).
thf(f36525,plain,
( spl0_611
| spl0_446
| spl0_627 ),
inference(avatar_split_clause,[],[f36522,f36145,f26509,f32835]) ).
thf(f36530,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_611 ),
inference(constrained_superposition,[],[f30,f32836]) ).
thf(f36533,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_611 ),
inference(trivial_inequality_removal,[],[f36530]) ).
thf(f36565,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_27
| ~ spl0_622 ),
inference(constrained_superposition,[],[f522,f32955]) ).
thf(f36575,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_27
| ~ spl0_622 ),
inference(trivial_inequality_removal,[],[f36565]) ).
thf(f36579,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_27
| ~ spl0_28
| ~ spl0_622 ),
inference(forward_subsumption_resolution,[],[f36575,f28619]) ).
thf(f36581,plain,
( $false
| ~ spl0_27
| ~ spl0_28
| spl0_582
| ~ spl0_622 ),
inference(forward_subsumption_resolution,[],[f36579,f31539]) ).
thf(f36582,plain,
( ~ spl0_27
| ~ spl0_28
| spl0_582
| ~ spl0_622 ),
inference(avatar_contradiction_clause,[],[f36581]) ).
thf(f36599,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_622 ),
inference(constrained_superposition,[],[f30,f32955]) ).
thf(f36600,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_622 ),
inference(trivial_inequality_removal,[],[f36599]) ).
thf(f36668,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( r @ z @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_231 ),
inference(constrained_superposition,[],[f14173,f35]) ).
thf(f36675,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_231 ),
inference(trivial_inequality_removal,[],[f36668]) ).
thf(f36682,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_421
| ~ spl0_619 ),
inference(constrained_superposition,[],[f32878,f25840]) ).
thf(f36695,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_421
| ~ spl0_619 ),
inference(trivial_inequality_removal,[],[f36682]) ).
thf(f36697,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( ( r @ z @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_236
| ~ spl0_369 ),
inference(constrained_superposition,[],[f36277,f14211]) ).
thf(f36699,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_369 ),
inference(constrained_superposition,[],[f36277,f35]) ).
thf(f36704,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( ( r @ z @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_236
| ~ spl0_369 ),
inference(trivial_inequality_removal,[],[f36697]) ).
thf(f36705,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_369 ),
inference(trivial_inequality_removal,[],[f36699]) ).
thf(f36711,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ z @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_626 ),
inference(constrained_superposition,[],[f35432,f35]) ).
thf(f36720,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( ( r @ z @ X0 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_626 ),
inference(trivial_inequality_removal,[],[f36711]) ).
thf(f36726,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_421 ),
inference(constrained_superposition,[],[f35896,f216]) ).
thf(f36730,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_421 ),
inference(trivial_inequality_removal,[],[f36726]) ).
thf(f36782,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ z @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_451
| ~ spl0_622 ),
inference(constrained_superposition,[],[f36600,f26571]) ).
thf(f36784,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_622 ),
inference(constrained_superposition,[],[f36600,f35]) ).
thf(f36785,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_622
| ~ spl0_626 ),
inference(constrained_superposition,[],[f36600,f35424]) ).
thf(f36786,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_622 ),
inference(constrained_superposition,[],[f36600,f56]) ).
thf(f36789,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_622
| ~ spl0_626 ),
inference(trivial_inequality_removal,[],[f36785]) ).
thf(f36790,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_451
| ~ spl0_622 ),
inference(trivial_inequality_removal,[],[f36782]) ).
thf(f36791,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_622 ),
inference(trivial_inequality_removal,[],[f36784]) ).
thf(f36795,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_622 ),
inference(trivial_inequality_removal,[],[f36786]) ).
thf(f36796,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_17
| ~ spl0_622
| ~ spl0_626 ),
inference(forward_subsumption_resolution,[],[f36789,f275]) ).
thf(f36797,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_28
| ~ spl0_451
| ~ spl0_622 ),
inference(forward_subsumption_resolution,[],[f36790,f28619]) ).
thf(f36798,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| spl0_582
| ~ spl0_622 ),
inference(forward_subsumption_resolution,[],[f36791,f31539]) ).
thf(f36800,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_21
| ~ spl0_622 ),
inference(forward_subsumption_resolution,[],[f36795,f307]) ).
thf(f36801,plain,
( spl0_138
| ~ spl0_17
| ~ spl0_622
| ~ spl0_626 ),
inference(avatar_split_clause,[],[f36796,f35423,f32954,f274,f6989]) ).
thf(f36802,plain,
( spl0_59
| ~ spl0_28
| ~ spl0_451
| ~ spl0_622 ),
inference(avatar_split_clause,[],[f36797,f32954,f26570,f524,f1221]) ).
thf(f36803,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_28
| spl0_582
| ~ spl0_622 ),
inference(forward_subsumption_resolution,[],[f36798,f28619]) ).
thf(f36805,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_17
| ~ spl0_21
| ~ spl0_622 ),
inference(forward_subsumption_resolution,[],[f36800,f275]) ).
thf(f36806,plain,
( spl0_59
| ~ spl0_28
| spl0_582
| ~ spl0_622 ),
inference(avatar_split_clause,[],[f36803,f32954,f31403,f524,f1221]) ).
thf(f36807,plain,
( spl0_138
| ~ spl0_17
| ~ spl0_21
| ~ spl0_622 ),
inference(avatar_split_clause,[],[f36805,f32954,f306,f274,f6989]) ).
thf(f36808,plain,
( spl0_435
| ~ spl0_621
| ~ spl0_421
| ~ spl0_619 ),
inference(avatar_split_clause,[],[f36695,f32877,f25839,f32885,f26083]) ).
thf(f36821,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) )
| ~ spl0_435 ),
inference(constrained_superposition,[],[f26084,f34]) ).
thf(f36830,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) )
| ~ spl0_435 ),
inference(trivial_inequality_removal,[],[f36821]) ).
thf(f36833,plain,
( ! [X0: $i] :
( ( b @ z @ X0 )
!= $true )
| spl0_425
| ~ spl0_435 ),
inference(forward_subsumption_resolution,[],[f36830,f27203]) ).
thf(f36835,plain,
( spl0_20
| spl0_425
| ~ spl0_435 ),
inference(avatar_split_clause,[],[f36833,f26083,f25854,f302]) ).
thf(f36836,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( ( r @ z @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| spl0_16
| ~ spl0_231 ),
inference(forward_subsumption_resolution,[],[f36675,f253]) ).
thf(f36840,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| spl0_582
| ~ spl0_626 ),
inference(forward_subsumption_resolution,[],[f36720,f31539]) ).
thf(f36843,plain,
( ~ spl0_39
| spl0_9
| ~ spl0_236
| ~ spl0_369 ),
inference(avatar_split_clause,[],[f36704,f23450,f14210,f151,f614]) ).
thf(f36845,definition,
( spl0_628
<=> ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_628])],[avatar_definition]) ).
thf(f36846,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_628 ),
inference(avatar_component_clause,[],[f36845]) ).
thf(f36848,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ X0 )
!= $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) ) )
| spl0_44
| ~ spl0_369 ),
inference(forward_subsumption_resolution,[],[f36705,f32842]) ).
thf(f36849,plain,
( spl0_9
| ~ spl0_39
| spl0_16
| ~ spl0_231 ),
inference(avatar_split_clause,[],[f36836,f14172,f252,f614,f151]) ).
thf(f36850,plain,
( ~ spl0_39
| spl0_9
| spl0_582
| ~ spl0_626 ),
inference(avatar_split_clause,[],[f36840,f35423,f31403,f151,f614]) ).
thf(f36852,plain,
( spl0_9
| ~ spl0_39
| spl0_44
| ~ spl0_369 ),
inference(avatar_split_clause,[],[f36848,f23450,f707,f614,f151]) ).
thf(f36855,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_39
| ~ spl0_80 ),
inference(constrained_superposition,[],[f2460,f28596]) ).
thf(f36858,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_39
| ~ spl0_80 ),
inference(duplicate_literal_removal,[],[f36855]) ).
thf(f36859,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_39
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f36858]) ).
thf(f36862,plain,
( spl0_628
| ~ spl0_39
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f36859,f2459,f614,f36845]) ).
thf(f36875,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_544 ),
inference(constrained_superposition,[],[f28577,f36]) ).
thf(f36876,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_544 ),
inference(trivial_inequality_removal,[],[f36875]) ).
thf(f36877,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_544 ),
inference(forward_subsumption_resolution,[],[f36876,f29]) ).
thf(f36879,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_421
| spl0_544 ),
inference(constrained_superposition,[],[f35896,f36877]) ).
thf(f36895,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_421
| spl0_544 ),
inference(trivial_inequality_removal,[],[f36879]) ).
thf(f36950,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_429
| ~ spl0_543 ),
inference(constrained_superposition,[],[f28574,f25872]) ).
thf(f36958,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_429
| ~ spl0_543 ),
inference(trivial_inequality_removal,[],[f36950]) ).
thf(f36967,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_429
| ~ spl0_611 ),
inference(constrained_superposition,[],[f36533,f25872]) ).
thf(f36970,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_429
| ~ spl0_611 ),
inference(trivial_inequality_removal,[],[f36967]) ).
thf(f36978,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_429
| ~ spl0_439
| ~ spl0_611 ),
inference(forward_subsumption_resolution,[],[f36970,f32864]) ).
thf(f36983,plain,
( spl0_440
| ~ spl0_429
| ~ spl0_439
| ~ spl0_611 ),
inference(avatar_split_clause,[],[f36978,f32835,f26326,f25871,f26329]) ).
thf(f36991,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_439
| ~ spl0_451 ),
inference(constrained_superposition,[],[f36118,f26571]) ).
thf(f36994,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_439
| ~ spl0_626 ),
inference(constrained_superposition,[],[f36118,f35424]) ).
thf(f36995,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_439 ),
inference(constrained_superposition,[],[f36118,f56]) ).
thf(f36999,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_439
| ~ spl0_451 ),
inference(trivial_inequality_removal,[],[f36991]) ).
thf(f37001,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_439
| ~ spl0_626 ),
inference(trivial_inequality_removal,[],[f36994]) ).
thf(f37002,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_439 ),
inference(trivial_inequality_removal,[],[f36995]) ).
thf(f37005,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_28
| ~ spl0_439
| ~ spl0_451 ),
inference(forward_subsumption_resolution,[],[f36999,f28619]) ).
thf(f37007,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_17
| ~ spl0_439
| ~ spl0_626 ),
inference(forward_subsumption_resolution,[],[f37001,f275]) ).
thf(f37008,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_17
| ~ spl0_439 ),
inference(forward_subsumption_resolution,[],[f37002,f275]) ).
thf(f37012,plain,
( spl0_462
| ~ spl0_17
| ~ spl0_439
| ~ spl0_626 ),
inference(avatar_split_clause,[],[f37007,f35423,f26326,f274,f26973]) ).
thf(f37013,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_17
| ~ spl0_21
| ~ spl0_439 ),
inference(forward_subsumption_resolution,[],[f37008,f307]) ).
thf(f37015,plain,
( spl0_462
| ~ spl0_17
| ~ spl0_21
| ~ spl0_439 ),
inference(avatar_split_clause,[],[f37013,f26326,f306,f274,f26973]) ).
thf(f37019,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_28
| ~ spl0_439
| ~ spl0_451
| ~ spl0_626 ),
inference(constrained_superposition,[],[f37005,f35424]) ).
thf(f37028,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_28
| ~ spl0_439
| ~ spl0_451
| ~ spl0_626 ),
inference(trivial_inequality_removal,[],[f37019]) ).
thf(f37031,plain,
( $false
| ~ spl0_28
| ~ spl0_39
| ~ spl0_439
| ~ spl0_451
| ~ spl0_626 ),
inference(forward_subsumption_resolution,[],[f37028,f28596]) ).
thf(f37032,plain,
( ~ spl0_28
| ~ spl0_39
| ~ spl0_439
| ~ spl0_451
| ~ spl0_626 ),
inference(avatar_contradiction_clause,[],[f37031]) ).
thf(f37037,plain,
( spl0_227
| spl0_435
| ~ spl0_621
| ~ spl0_421 ),
inference(avatar_split_clause,[],[f35892,f25839,f32885,f26083,f14149]) ).
thf(f37040,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_40
| ~ spl0_628 ),
inference(forward_subsumption_resolution,[],[f642,f36846]) ).
thf(f37041,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| spl0_43
| ~ spl0_421
| spl0_544 ),
inference(forward_subsumption_resolution,[],[f36895,f36293]) ).
thf(f37043,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_431
| spl0_608 ),
inference(forward_subsumption_resolution,[],[f36453,f33279]) ).
thf(f37044,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| spl0_22
| spl0_43 ),
inference(forward_subsumption_resolution,[],[f36308,f36087]) ).
thf(f37046,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_569 ),
inference(avatar_component_clause,[],[f29944]) ).
thf(f37047,plain,
( ~ spl0_569
| spl0_13
| spl0_439
| ~ spl0_421 ),
inference(avatar_split_clause,[],[f36730,f25839,f26326,f241,f29944]) ).
thf(f37053,plain,
( spl0_32
| ~ spl0_40
| ~ spl0_628 ),
inference(avatar_split_clause,[],[f37040,f36845,f641,f544]) ).
thf(f37054,plain,
( spl0_3
| spl0_43
| ~ spl0_421
| spl0_544 ),
inference(avatar_split_clause,[],[f37041,f28576,f25839,f704,f72]) ).
thf(f37055,plain,
( spl0_435
| ~ spl0_465
| ~ spl0_431
| spl0_608 ),
inference(avatar_split_clause,[],[f37043,f32302,f25878,f26986,f26083]) ).
thf(f37056,plain,
( spl0_3
| spl0_227
| spl0_22
| spl0_43 ),
inference(avatar_split_clause,[],[f37044,f704,f309,f14149,f72]) ).
thf(f37073,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f73,f34]) ).
thf(f37077,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f37073]) ).
thf(f37088,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_569 ),
inference(constrained_superposition,[],[f37046,f216]) ).
thf(f37093,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_569 ),
inference(trivial_inequality_removal,[],[f37088]) ).
thf(f37096,plain,
( spl0_227
| spl0_569 ),
inference(avatar_split_clause,[],[f37093,f29944,f14149]) ).
thf(f37103,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_613 ),
inference(constrained_superposition,[],[f30,f32845]) ).
thf(f37106,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_613 ),
inference(trivial_inequality_removal,[],[f37103]) ).
thf(f37122,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_439 ),
inference(constrained_superposition,[],[f26327,f36]) ).
thf(f37123,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_439 ),
inference(trivial_inequality_removal,[],[f37122]) ).
thf(f37124,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_248
| spl0_439 ),
inference(forward_subsumption_resolution,[],[f37123,f25660]) ).
thf(f37128,definition,
( spl0_629
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_629])],[avatar_definition]) ).
thf(f37129,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_629 ),
inference(avatar_component_clause,[],[f37128]) ).
thf(f37152,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_449 ),
inference(constrained_superposition,[],[f56,f26524]) ).
thf(f37193,plain,
( ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_449 ),
inference(forward_subsumption_resolution,[],[f37152,f26]) ).
thf(f37209,plain,
( $false
| ~ spl0_449 ),
inference(forward_subsumption_resolution,[],[f37193,f25]) ).
thf(f37210,plain,
~ spl0_449,
inference(avatar_contradiction_clause,[],[f37209]) ).
thf(f37213,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_37
| spl0_248
| spl0_439 ),
inference(constrained_superposition,[],[f601,f37124]) ).
thf(f37219,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_248
| spl0_439 ),
inference(constrained_superposition,[],[f27,f37124]) ).
thf(f37224,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_37
| spl0_248
| spl0_439 ),
inference(trivial_inequality_removal,[],[f37213]) ).
thf(f37229,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| spl0_248
| spl0_439 ),
inference(trivial_inequality_removal,[],[f37219]) ).
thf(f37266,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_462 ),
inference(constrained_superposition,[],[f26974,f35]) ).
thf(f37273,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_462 ),
inference(trivial_inequality_removal,[],[f37266]) ).
thf(f37309,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_562 ),
inference(constrained_superposition,[],[f28726,f216]) ).
thf(f37316,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_562 ),
inference(trivial_inequality_removal,[],[f37309]) ).
thf(f37320,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true ) )
| spl0_248
| spl0_439 ),
inference(constrained_superposition,[],[f37229,f34]) ).
thf(f37331,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_248
| spl0_439 ),
inference(trivial_inequality_removal,[],[f37320]) ).
thf(f37352,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ z @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_236
| ~ spl0_613 ),
inference(constrained_superposition,[],[f37106,f14211]) ).
thf(f37354,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_613 ),
inference(constrained_superposition,[],[f37106,f35]) ).
thf(f37355,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_369
| ~ spl0_613 ),
inference(constrained_superposition,[],[f37106,f28722]) ).
thf(f37356,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_613 ),
inference(constrained_superposition,[],[f37106,f56]) ).
thf(f37357,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_500
| ~ spl0_613 ),
inference(constrained_superposition,[],[f37106,f28734]) ).
thf(f37361,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_236
| ~ spl0_613 ),
inference(trivial_inequality_removal,[],[f37352]) ).
thf(f37364,plain,
( ! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_613 ),
inference(trivial_inequality_removal,[],[f37354]) ).
thf(f37365,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_500
| ~ spl0_613 ),
inference(trivial_inequality_removal,[],[f37357]) ).
thf(f37366,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_613 ),
inference(trivial_inequality_removal,[],[f37356]) ).
thf(f37367,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_369
| ~ spl0_613 ),
inference(trivial_inequality_removal,[],[f37355]) ).
thf(f37370,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_28
| ~ spl0_236
| ~ spl0_613 ),
inference(forward_subsumption_resolution,[],[f37361,f28619]) ).
thf(f37372,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| spl0_44
| ~ spl0_613 ),
inference(forward_subsumption_resolution,[],[f37364,f32842]) ).
thf(f37373,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_455
| ~ spl0_500
| ~ spl0_613 ),
inference(forward_subsumption_resolution,[],[f37365,f33047]) ).
thf(f37374,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| spl0_251
| ~ spl0_613 ),
inference(forward_subsumption_resolution,[],[f37366,f34408]) ).
thf(f37375,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_17
| ~ spl0_369
| ~ spl0_613 ),
inference(forward_subsumption_resolution,[],[f37367,f275]) ).
thf(f37377,plain,
( spl0_59
| ~ spl0_28
| ~ spl0_236
| ~ spl0_613 ),
inference(avatar_split_clause,[],[f37370,f32844,f14210,f524,f1221]) ).
thf(f37379,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_28
| spl0_44
| ~ spl0_613 ),
inference(forward_subsumption_resolution,[],[f37372,f28619]) ).
thf(f37380,plain,
( spl0_454
| ~ spl0_455
| ~ spl0_500
| ~ spl0_613 ),
inference(avatar_split_clause,[],[f37373,f32844,f27878,f26749,f26746]) ).
thf(f37381,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_17
| spl0_251
| ~ spl0_613 ),
inference(forward_subsumption_resolution,[],[f37374,f275]) ).
thf(f37382,plain,
( spl0_138
| ~ spl0_17
| ~ spl0_369
| ~ spl0_613 ),
inference(avatar_split_clause,[],[f37375,f32844,f23450,f274,f6989]) ).
thf(f37384,plain,
( spl0_59
| ~ spl0_28
| spl0_44
| ~ spl0_613 ),
inference(avatar_split_clause,[],[f37379,f32844,f707,f524,f1221]) ).
thf(f37385,plain,
( spl0_138
| ~ spl0_17
| spl0_251
| ~ spl0_613 ),
inference(avatar_split_clause,[],[f37381,f32844,f14439,f274,f6989]) ).
thf(f37387,plain,
( ~ spl0_608
| ~ spl0_429
| ~ spl0_543 ),
inference(avatar_split_clause,[],[f36958,f28573,f25871,f32302]) ).
thf(f37388,plain,
( spl0_622
| spl0_49
| ~ spl0_582
| ~ spl0_37
| spl0_248
| spl0_439 ),
inference(avatar_split_clause,[],[f37224,f26326,f14423,f600,f31403,f860,f32954]) ).
thf(f37389,plain,
( spl0_8
| spl0_20
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f37077,f72,f302,f137]) ).
thf(f37390,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| spl0_248
| spl0_425
| spl0_439 ),
inference(forward_subsumption_resolution,[],[f37331,f27203]) ).
thf(f37391,plain,
( ~ spl0_8
| spl0_582
| ~ spl0_462 ),
inference(avatar_split_clause,[],[f37273,f26973,f31403,f137]) ).
thf(f37392,plain,
( spl0_4
| ~ spl0_24
| spl0_248
| spl0_425
| spl0_439 ),
inference(avatar_split_clause,[],[f37390,f26326,f25854,f14423,f350,f96]) ).
thf(f37393,plain,
( ~ spl0_44
| spl0_21
| spl0_613
| ~ spl0_37
| spl0_43 ),
inference(avatar_split_clause,[],[f36303,f704,f600,f32844,f306,f707]) ).
thf(f37395,plain,
( ~ spl0_425
| ~ spl0_6
| ~ spl0_626 ),
inference(avatar_split_clause,[],[f36320,f35423,f130,f25854]) ).
thf(f37418,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_6
| ~ spl0_244 ),
inference(constrained_superposition,[],[f36322,f14316]) ).
thf(f37420,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_6
| ~ spl0_244 ),
inference(trivial_inequality_removal,[],[f37418]) ).
thf(f37422,plain,
( spl0_251
| ~ spl0_6
| ~ spl0_244 ),
inference(avatar_split_clause,[],[f37420,f14315,f130,f14439]) ).
thf(f37425,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_3
| ~ spl0_251 ),
inference(constrained_superposition,[],[f73,f14440]) ).
thf(f37426,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_251 ),
inference(constrained_superposition,[],[f42,f14440]) ).
thf(f37434,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ~ spl0_3
| ~ spl0_251 ),
inference(trivial_inequality_removal,[],[f37425]) ).
thf(f37435,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_251 ),
inference(trivial_inequality_removal,[],[f37426]) ).
thf(f37437,plain,
( spl0_607
| ~ spl0_3
| ~ spl0_251 ),
inference(avatar_split_clause,[],[f37434,f14439,f72,f32097]) ).
thf(f37458,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_22
| ~ spl0_628 ),
inference(constrained_superposition,[],[f36846,f310]) ).
thf(f37466,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_22
| ~ spl0_628 ),
inference(trivial_inequality_removal,[],[f37458]) ).
thf(f37485,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_37
| ~ spl0_569 ),
inference(constrained_superposition,[],[f601,f29945]) ).
thf(f37488,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_569 ),
inference(constrained_superposition,[],[f42,f29945]) ).
thf(f37489,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_569 ),
inference(constrained_superposition,[],[f11094,f29945]) ).
thf(f37496,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_569 ),
inference(trivial_inequality_removal,[],[f37489]) ).
thf(f37497,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_37
| ~ spl0_569 ),
inference(trivial_inequality_removal,[],[f37485]) ).
thf(f37500,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_569 ),
inference(trivial_inequality_removal,[],[f37488]) ).
thf(f37503,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_37
| ~ spl0_44
| ~ spl0_569 ),
inference(forward_subsumption_resolution,[],[f37497,f708]) ).
thf(f37506,plain,
( spl0_613
| spl0_49
| ~ spl0_37
| ~ spl0_44
| ~ spl0_569 ),
inference(avatar_split_clause,[],[f37503,f29944,f707,f600,f860,f32844]) ).
thf(f37508,plain,
( ~ spl0_19
| ~ spl0_22
| ~ spl0_628 ),
inference(avatar_split_clause,[],[f37466,f36845,f309,f299]) ).
thf(f37534,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_544 ),
inference(constrained_superposition,[],[f28577,f36]) ).
thf(f37535,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_544 ),
inference(trivial_inequality_removal,[],[f37534]) ).
thf(f37536,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_544 ),
inference(forward_subsumption_resolution,[],[f37535,f29]) ).
thf(f37572,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_37
| spl0_544 ),
inference(constrained_superposition,[],[f601,f37536]) ).
thf(f37587,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_37
| spl0_544 ),
inference(trivial_inequality_removal,[],[f37572]) ).
thf(f37589,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_37
| spl0_544
| ~ spl0_582 ),
inference(forward_subsumption_resolution,[],[f37587,f31404]) ).
thf(f37590,plain,
( spl0_21
| spl0_622
| ~ spl0_37
| spl0_544
| ~ spl0_582 ),
inference(avatar_split_clause,[],[f37589,f31403,f28576,f600,f32954,f306]) ).
thf(f37591,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_444
| ~ spl0_610 ),
inference(constrained_superposition,[],[f32625,f26497]) ).
thf(f37594,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_444
| ~ spl0_610 ),
inference(trivial_inequality_removal,[],[f37591]) ).
thf(f37595,plain,
( $false
| ~ spl0_39
| ~ spl0_444
| ~ spl0_610 ),
inference(forward_subsumption_resolution,[],[f37594,f28596]) ).
thf(f37596,plain,
( ~ spl0_39
| ~ spl0_444
| ~ spl0_610 ),
inference(avatar_contradiction_clause,[],[f37595]) ).
thf(f37613,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_621 ),
inference(constrained_superposition,[],[f32886,f28]) ).
thf(f37614,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_621 ),
inference(trivial_inequality_removal,[],[f37613]) ).
thf(f37617,plain,
( spl0_339
| spl0_622
| spl0_621 ),
inference(avatar_split_clause,[],[f37614,f32885,f32954,f20200]) ).
thf(f37619,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_462
| ~ spl0_622 ),
inference(constrained_superposition,[],[f26974,f32955]) ).
thf(f37621,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_622 ),
inference(constrained_superposition,[],[f127,f32955]) ).
thf(f37625,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_462
| ~ spl0_622 ),
inference(trivial_inequality_removal,[],[f37619]) ).
thf(f37628,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_622 ),
inference(trivial_inequality_removal,[],[f37621]) ).
thf(f37629,plain,
( $false
| ~ spl0_17
| ~ spl0_462
| ~ spl0_622 ),
inference(forward_subsumption_resolution,[],[f37625,f275]) ).
thf(f37630,plain,
( ~ spl0_17
| ~ spl0_462
| ~ spl0_622 ),
inference(avatar_contradiction_clause,[],[f37629]) ).
thf(f37632,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_22
| ~ spl0_622 ),
inference(forward_subsumption_resolution,[],[f37628,f310]) ).
thf(f37634,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_22
| spl0_465
| ~ spl0_622 ),
inference(forward_subsumption_resolution,[],[f37632,f32617]) ).
thf(f37635,plain,
( spl0_33
| ~ spl0_22
| spl0_465
| ~ spl0_622 ),
inference(avatar_split_clause,[],[f37634,f32954,f26986,f309,f585]) ).
thf(f37640,plain,
( spl0_438
| ~ spl0_44
| spl0_8
| ~ spl0_251 ),
inference(avatar_split_clause,[],[f37435,f14439,f137,f707,f26278]) ).
thf(f37692,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_36
| ~ spl0_613 ),
inference(constrained_superposition,[],[f596,f32845]) ).
thf(f37696,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_36
| ~ spl0_613 ),
inference(trivial_inequality_removal,[],[f37692]) ).
thf(f37699,plain,
( ~ spl0_244
| ~ spl0_36
| ~ spl0_613 ),
inference(avatar_split_clause,[],[f37696,f32844,f595,f14315]) ).
thf(f37718,plain,
( ~ spl0_16
| spl0_236
| spl0_13
| ~ spl0_569 ),
inference(avatar_split_clause,[],[f37496,f29944,f241,f14210,f252]) ).
thf(f37740,plain,
( ( z
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| spl0_22 ),
inference(constrained_superposition,[],[f1070,f36]) ).
thf(f37741,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) )
| spl0_22 ),
inference(trivial_inequality_removal,[],[f37740]) ).
thf(f37742,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| spl0_22 ),
inference(forward_subsumption_resolution,[],[f37741,f29]) ).
thf(f37780,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| spl0_544 ),
inference(constrained_superposition,[],[f28577,f36]) ).
thf(f37781,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_544 ),
inference(trivial_inequality_removal,[],[f37780]) ).
thf(f37782,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_544 ),
inference(forward_subsumption_resolution,[],[f37781,f29]) ).
thf(f37783,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| spl0_544 ),
inference(constrained_superposition,[],[f233,f37782]) ).
thf(f37785,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_544 ),
inference(constrained_superposition,[],[f42,f37782]) ).
thf(f37786,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_544 ),
inference(constrained_superposition,[],[f11094,f37782]) ).
thf(f37791,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| spl0_544 ),
inference(trivial_inequality_removal,[],[f37785]) ).
thf(f37792,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| spl0_544 ),
inference(trivial_inequality_removal,[],[f37783]) ).
thf(f37794,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| spl0_544 ),
inference(trivial_inequality_removal,[],[f37786]) ).
thf(f37797,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| spl0_22
| spl0_544 ),
inference(forward_subsumption_resolution,[],[f37792,f37742]) ).
thf(f37799,plain,
( spl0_3
| spl0_439
| spl0_22
| spl0_544 ),
inference(avatar_split_clause,[],[f37797,f28576,f309,f26326,f72]) ).
thf(f37817,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_439 ),
inference(constrained_superposition,[],[f127,f32864]) ).
thf(f37818,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_439 ),
inference(constrained_superposition,[],[f49,f32864]) ).
thf(f37820,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_439 ),
inference(trivial_inequality_removal,[],[f37817]) ).
thf(f37822,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_439 ),
inference(trivial_inequality_removal,[],[f37818]) ).
thf(f37826,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_255
| ~ spl0_613 ),
inference(constrained_superposition,[],[f14523,f32845]) ).
thf(f37831,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_255
| ~ spl0_613 ),
inference(trivial_inequality_removal,[],[f37826]) ).
thf(f37832,plain,
( $false
| ~ spl0_19
| ~ spl0_255
| ~ spl0_613 ),
inference(forward_subsumption_resolution,[],[f37831,f300]) ).
thf(f37833,plain,
( ~ spl0_19
| ~ spl0_255
| ~ spl0_613 ),
inference(avatar_contradiction_clause,[],[f37832]) ).
thf(f37835,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_422
| ~ spl0_626 ),
inference(constrained_superposition,[],[f35432,f25843]) ).
thf(f37837,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_422 ),
inference(constrained_superposition,[],[f49,f25843]) ).
thf(f37839,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_422
| ~ spl0_626 ),
inference(trivial_inequality_removal,[],[f37835]) ).
thf(f37843,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_422 ),
inference(trivial_inequality_removal,[],[f37837]) ).
thf(f37844,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_43
| ~ spl0_422
| ~ spl0_626 ),
inference(forward_subsumption_resolution,[],[f37839,f705]) ).
thf(f37846,plain,
( spl0_609
| ~ spl0_43
| ~ spl0_422
| ~ spl0_626 ),
inference(avatar_split_clause,[],[f37844,f35423,f25842,f704,f32612]) ).
thf(f37859,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_611 ),
inference(constrained_superposition,[],[f127,f32836]) ).
thf(f37860,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_611 ),
inference(constrained_superposition,[],[f49,f32836]) ).
thf(f37862,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_611 ),
inference(trivial_inequality_removal,[],[f37859]) ).
thf(f37863,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_611 ),
inference(trivial_inequality_removal,[],[f37860]) ).
thf(f37883,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_559
| ~ spl0_609 ),
inference(constrained_superposition,[],[f32613,f28714]) ).
thf(f37886,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_559
| ~ spl0_609 ),
inference(trivial_inequality_removal,[],[f37883]) ).
thf(f37889,plain,
( $false
| ~ spl0_559
| ~ spl0_608
| ~ spl0_609 ),
inference(forward_subsumption_resolution,[],[f37886,f32303]) ).
thf(f37890,plain,
( ~ spl0_559
| ~ spl0_608
| ~ spl0_609 ),
inference(avatar_contradiction_clause,[],[f37889]) ).
thf(f37933,plain,
( spl0_244
| ~ spl0_16
| spl0_13
| ~ spl0_569 ),
inference(avatar_split_clause,[],[f37500,f29944,f241,f252,f14315]) ).
thf(f37936,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| spl0_545
| ~ spl0_611 ),
inference(forward_subsumption_resolution,[],[f37862,f36230]) ).
thf(f37937,plain,
( spl0_36
| spl0_601
| ~ spl0_19
| ~ spl0_611 ),
inference(avatar_split_clause,[],[f37863,f32835,f299,f31582,f595]) ).
thf(f37939,plain,
( ~ spl0_22
| spl0_33
| spl0_545
| ~ spl0_611 ),
inference(avatar_split_clause,[],[f37936,f32835,f28579,f585,f309]) ).
thf(f38007,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_465 ),
inference(constrained_superposition,[],[f42,f26987]) ).
thf(f38014,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_465 ),
inference(trivial_inequality_removal,[],[f38007]) ).
thf(f38017,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| spl0_8
| ~ spl0_465 ),
inference(forward_subsumption_resolution,[],[f38014,f138]) ).
thf(f38019,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_8
| ~ spl0_465
| ~ spl0_582 ),
inference(forward_subsumption_resolution,[],[f38017,f31404]) ).
thf(f38020,plain,
( spl0_435
| spl0_8
| ~ spl0_465
| ~ spl0_582 ),
inference(avatar_split_clause,[],[f38019,f31403,f26986,f137,f26083]) ).
thf(f38031,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_61
| spl0_544 ),
inference(constrained_superposition,[],[f28577,f1274]) ).
thf(f38036,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_61
| spl0_544 ),
inference(trivial_inequality_removal,[],[f38031]) ).
thf(f38040,plain,
( $false
| ~ spl0_61
| spl0_544 ),
inference(forward_subsumption_resolution,[],[f38036,f29]) ).
thf(f38041,plain,
( ~ spl0_61
| spl0_544 ),
inference(avatar_contradiction_clause,[],[f38040]) ).
thf(f38071,plain,
( ( z
= ( s @ z ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| spl0_22 ),
inference(constrained_superposition,[],[f1070,f36]) ).
thf(f38072,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) )
| spl0_22 ),
inference(trivial_inequality_removal,[],[f38071]) ).
thf(f38073,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| spl0_22 ),
inference(forward_subsumption_resolution,[],[f38072,f29]) ).
thf(f38128,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_545 ),
inference(constrained_superposition,[],[f11094,f28580]) ).
thf(f38133,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_545 ),
inference(trivial_inequality_removal,[],[f38128]) ).
thf(f38138,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_608 ),
inference(constrained_superposition,[],[f33279,f36]) ).
thf(f38139,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_608 ),
inference(trivial_inequality_removal,[],[f38138]) ).
thf(f38140,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_608 ),
inference(forward_subsumption_resolution,[],[f38139,f29]) ).
thf(f38141,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_608 ),
inference(constrained_superposition,[],[f233,f38140]) ).
thf(f38149,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| spl0_608 ),
inference(trivial_inequality_removal,[],[f38141]) ).
thf(f38155,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| spl0_22
| spl0_608 ),
inference(forward_subsumption_resolution,[],[f38149,f38073]) ).
thf(f38157,plain,
( spl0_3
| spl0_455
| spl0_22
| spl0_608 ),
inference(avatar_split_clause,[],[f38155,f32302,f309,f26749,f72]) ).
thf(f38160,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_424 ),
inference(constrained_superposition,[],[f42,f25850]) ).
thf(f38168,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) )
| ~ spl0_424 ),
inference(trivial_inequality_removal,[],[f38160]) ).
thf(f38173,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_44
| ~ spl0_424 ),
inference(forward_subsumption_resolution,[],[f38168,f708]) ).
thf(f38176,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_44
| ~ spl0_424
| spl0_425 ),
inference(forward_subsumption_resolution,[],[f38173,f27203]) ).
thf(f38178,plain,
( spl0_438
| ~ spl0_44
| ~ spl0_424
| spl0_425 ),
inference(avatar_split_clause,[],[f38176,f25854,f25849,f707,f26278]) ).
thf(f38190,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_465 ),
inference(constrained_superposition,[],[f11094,f26987]) ).
thf(f38194,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_465 ),
inference(trivial_inequality_removal,[],[f38190]) ).
thf(f38200,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_423 ),
inference(constrained_superposition,[],[f127,f25847]) ).
thf(f38205,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_423 ),
inference(trivial_inequality_removal,[],[f38200]) ).
thf(f38228,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_564 ),
inference(constrained_superposition,[],[f233,f28737]) ).
thf(f38231,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) )
| ~ spl0_564 ),
inference(constrained_superposition,[],[f11094,f28737]) ).
thf(f38239,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_564 ),
inference(trivial_inequality_removal,[],[f38228]) ).
thf(f38241,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_564 ),
inference(trivial_inequality_removal,[],[f38231]) ).
thf(f38249,plain,
( spl0_438
| ~ spl0_623
| spl0_455
| ~ spl0_564 ),
inference(avatar_split_clause,[],[f38239,f28736,f26749,f33045,f26278]) ).
thf(f38251,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_425
| spl0_544 ),
inference(forward_subsumption_resolution,[],[f37791,f27203]) ).
thf(f38252,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| spl0_451
| spl0_544 ),
inference(forward_subsumption_resolution,[],[f37794,f30419]) ).
thf(f38255,plain,
( spl0_3
| ~ spl0_1
| spl0_425
| spl0_544 ),
inference(avatar_split_clause,[],[f38251,f28576,f25854,f66,f72]) ).
thf(f38256,plain,
( spl0_3
| ~ spl0_1
| spl0_451
| spl0_544 ),
inference(avatar_split_clause,[],[f38252,f28576,f26570,f66,f72]) ).
thf(f38258,plain,
( spl0_575
| ~ spl0_44
| spl0_438
| ~ spl0_564 ),
inference(avatar_split_clause,[],[f38241,f28736,f26278,f707,f30446]) ).
thf(f38274,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_12 ),
inference(constrained_superposition,[],[f239,f28]) ).
thf(f38275,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_12 ),
inference(trivial_inequality_removal,[],[f38274]) ).
thf(f38276,plain,
( spl0_18
| spl0_17
| spl0_12 ),
inference(avatar_split_clause,[],[f38275,f238,f274,f277]) ).
thf(f38278,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_23 ),
inference(constrained_superposition,[],[f347,f28]) ).
thf(f38280,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_23 ),
inference(trivial_inequality_removal,[],[f38278]) ).
thf(f38281,plain,
( spl0_22
| spl0_18
| spl0_23 ),
inference(avatar_split_clause,[],[f38280,f346,f277,f309]) ).
thf(f38321,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| spl0_43 ),
inference(constrained_superposition,[],[f32614,f36]) ).
thf(f38322,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_43 ),
inference(trivial_inequality_removal,[],[f38321]) ).
thf(f38323,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_43 ),
inference(forward_subsumption_resolution,[],[f38322,f29]) ).
thf(f38325,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| spl0_43 ),
inference(constrained_superposition,[],[f233,f38323]) ).
thf(f38327,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_43 ),
inference(constrained_superposition,[],[f42,f38323]) ).
thf(f38328,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_43 ),
inference(constrained_superposition,[],[f11094,f38323]) ).
thf(f38333,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| spl0_43 ),
inference(trivial_inequality_removal,[],[f38325]) ).
thf(f38334,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| spl0_43 ),
inference(trivial_inequality_removal,[],[f38328]) ).
thf(f38339,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| spl0_43 ),
inference(trivial_inequality_removal,[],[f38327]) ).
thf(f38357,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_613 ),
inference(constrained_superposition,[],[f49,f32845]) ).
thf(f38359,plain,
( ! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_613 ),
inference(trivial_inequality_removal,[],[f38357]) ).
thf(f38381,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_58
| ~ spl0_439 ),
inference(constrained_superposition,[],[f1081,f32864]) ).
thf(f38386,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_58
| ~ spl0_439 ),
inference(trivial_inequality_removal,[],[f38381]) ).
thf(f38400,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_455 ),
inference(constrained_superposition,[],[f26750,f36]) ).
thf(f38401,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_455 ),
inference(trivial_inequality_removal,[],[f38400]) ).
thf(f38402,plain,
( spl0_570
| spl0_433
| spl0_455 ),
inference(avatar_split_clause,[],[f38401,f26749,f26067,f29949]) ).
thf(f38411,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) )
| ~ spl0_570 ),
inference(constrained_superposition,[],[f42,f29950]) ).
thf(f38412,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_570 ),
inference(constrained_superposition,[],[f11094,f29950]) ).
thf(f38417,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_570 ),
inference(trivial_inequality_removal,[],[f38412]) ).
thf(f38420,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_570 ),
inference(trivial_inequality_removal,[],[f38411]) ).
thf(f38423,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_16
| ~ spl0_570 ),
inference(forward_subsumption_resolution,[],[f38417,f535]) ).
thf(f38425,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| spl0_444
| ~ spl0_570 ),
inference(forward_subsumption_resolution,[],[f38420,f27202]) ).
thf(f38426,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_16
| ~ spl0_570
| spl0_575 ),
inference(forward_subsumption_resolution,[],[f38423,f30447]) ).
thf(f38427,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_16
| spl0_444
| ~ spl0_570 ),
inference(forward_subsumption_resolution,[],[f38425,f535]) ).
thf(f38428,plain,
( spl0_13
| ~ spl0_16
| ~ spl0_570
| spl0_575 ),
inference(avatar_split_clause,[],[f38426,f30446,f29949,f252,f241]) ).
thf(f38429,plain,
( spl0_13
| ~ spl0_16
| spl0_444
| ~ spl0_570 ),
inference(avatar_split_clause,[],[f38427,f29949,f26496,f252,f241]) ).
thf(f38430,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_545
| ~ spl0_601 ),
inference(forward_subsumption_resolution,[],[f38133,f31583]) ).
thf(f38431,plain,
( spl0_44
| spl0_36
| ~ spl0_19
| ~ spl0_613 ),
inference(avatar_split_clause,[],[f38359,f32844,f299,f595,f707]) ).
thf(f38432,plain,
( ~ spl0_544
| ~ spl0_58
| ~ spl0_439 ),
inference(avatar_split_clause,[],[f38386,f26326,f1080,f28576]) ).
thf(f38434,plain,
( spl0_12
| spl0_543
| ~ spl0_544
| ~ spl0_439 ),
inference(avatar_split_clause,[],[f37820,f26326,f28576,f28573,f238]) ).
thf(f38436,plain,
( spl0_3
| ~ spl0_1
| spl0_244
| spl0_43 ),
inference(avatar_split_clause,[],[f38339,f704,f14315,f66,f72]) ).
thf(f38439,plain,
( spl0_447
| spl0_39
| ~ spl0_545
| ~ spl0_601 ),
inference(avatar_split_clause,[],[f38430,f31582,f28579,f614,f26514]) ).
thf(f38441,plain,
( spl0_583
| ~ spl0_425
| spl0_16
| ~ spl0_439 ),
inference(avatar_split_clause,[],[f37822,f26326,f252,f25854,f31408]) ).
thf(f38442,plain,
( spl0_3
| spl0_227
| ~ spl0_23
| spl0_43 ),
inference(avatar_split_clause,[],[f38333,f704,f346,f14149,f72]) ).
thf(f38443,plain,
( spl0_227
| ~ spl0_12
| spl0_19
| ~ spl0_562 ),
inference(avatar_split_clause,[],[f37316,f28725,f299,f238,f14149]) ).
thf(f38444,plain,
( ~ spl0_1
| spl0_236
| spl0_3
| spl0_43 ),
inference(avatar_split_clause,[],[f38334,f704,f72,f14210,f66]) ).
thf(f38446,plain,
( spl0_251
| spl0_543
| ~ spl0_544
| ~ spl0_423 ),
inference(avatar_split_clause,[],[f38205,f25846,f28576,f28573,f14439]) ).
thf(f38447,plain,
( ~ spl0_244
| spl0_612
| spl0_582
| ~ spl0_422 ),
inference(avatar_split_clause,[],[f37843,f25842,f31403,f32839,f14315]) ).
thf(f38448,plain,
( ~ spl0_582
| spl0_39
| spl0_435
| ~ spl0_465 ),
inference(avatar_split_clause,[],[f38194,f26986,f26083,f614,f31403]) ).
thf(f38467,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_12 ),
inference(constrained_superposition,[],[f42,f265]) ).
thf(f38469,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_12 ),
inference(constrained_superposition,[],[f27,f265]) ).
thf(f38475,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f38467]) ).
thf(f38476,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f38469]) ).
thf(f38503,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) )
| ( $true != $true )
| spl0_22 ),
inference(constrained_superposition,[],[f1070,f36]) ).
thf(f38504,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) )
| spl0_22 ),
inference(trivial_inequality_removal,[],[f38503]) ).
thf(f38505,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| spl0_22 ),
inference(forward_subsumption_resolution,[],[f38504,f29]) ).
thf(f38621,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) )
| ~ spl0_428 ),
inference(constrained_superposition,[],[f42,f25869]) ).
thf(f38629,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) )
| ~ spl0_428 ),
inference(trivial_inequality_removal,[],[f38621]) ).
thf(f38634,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) )
| ~ spl0_428
| ~ spl0_601 ),
inference(forward_subsumption_resolution,[],[f38629,f31583]) ).
thf(f38635,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_425
| ~ spl0_428
| ~ spl0_601 ),
inference(forward_subsumption_resolution,[],[f38634,f27203]) ).
thf(f38636,plain,
( spl0_447
| spl0_425
| ~ spl0_428
| ~ spl0_601 ),
inference(avatar_split_clause,[],[f38635,f31582,f25868,f25854,f26514]) ).
thf(f38657,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_545 ),
inference(constrained_superposition,[],[f27,f28580]) ).
thf(f38661,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_545 ),
inference(trivial_inequality_removal,[],[f38657]) ).
thf(f38690,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_454
| ~ spl0_500 ),
inference(constrained_superposition,[],[f26747,f28734]) ).
thf(f38691,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_454
| ~ spl0_500 ),
inference(trivial_inequality_removal,[],[f38690]) ).
thf(f38695,plain,
( $false
| ~ spl0_227
| ~ spl0_454
| ~ spl0_500 ),
inference(forward_subsumption_resolution,[],[f38691,f32891]) ).
thf(f38696,plain,
( ~ spl0_227
| ~ spl0_454
| ~ spl0_500 ),
inference(avatar_contradiction_clause,[],[f38695]) ).
thf(f38724,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_32
| ~ spl0_455 ),
inference(constrained_superposition,[],[f545,f33047]) ).
thf(f38740,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_32
| ~ spl0_455 ),
inference(trivial_inequality_removal,[],[f38724]) ).
thf(f38791,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) ) )
| ~ spl0_12 ),
inference(constrained_superposition,[],[f38476,f34]) ).
thf(f38798,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) ) )
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f38791]) ).
thf(f38825,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_563 ),
inference(constrained_superposition,[],[f28732,f34]) ).
thf(f38826,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_563 ),
inference(constrained_superposition,[],[f28732,f216]) ).
thf(f38832,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_563 ),
inference(trivial_inequality_removal,[],[f38826]) ).
thf(f38833,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_563 ),
inference(trivial_inequality_removal,[],[f38825]) ).
thf(f38847,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_619 ),
inference(constrained_superposition,[],[f32878,f34]) ).
thf(f38849,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true ) )
| spl0_43
| ~ spl0_619 ),
inference(constrained_superposition,[],[f32878,f38323]) ).
thf(f38853,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| spl0_43
| ~ spl0_619 ),
inference(trivial_inequality_removal,[],[f38849]) ).
thf(f38855,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_619 ),
inference(trivial_inequality_removal,[],[f38847]) ).
thf(f38859,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| spl0_22
| spl0_43
| ~ spl0_619 ),
inference(forward_subsumption_resolution,[],[f38853,f38505]) ).
thf(f38861,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_244
| ~ spl0_619 ),
inference(forward_subsumption_resolution,[],[f38855,f20224]) ).
thf(f38862,plain,
( spl0_3
| spl0_22
| spl0_43
| ~ spl0_619 ),
inference(avatar_split_clause,[],[f38859,f32877,f704,f309,f72]) ).
thf(f38864,plain,
( spl0_4
| ~ spl0_24
| spl0_244
| ~ spl0_619 ),
inference(avatar_split_clause,[],[f38861,f32877,f14315,f350,f96]) ).
thf(f38866,plain,
( ~ spl0_19
| ~ spl0_444
| ~ spl0_32
| ~ spl0_455 ),
inference(avatar_split_clause,[],[f38740,f26749,f544,f26496,f299]) ).
thf(f38899,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_613 ),
inference(constrained_superposition,[],[f30,f32845]) ).
thf(f38902,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_613 ),
inference(trivial_inequality_removal,[],[f38899]) ).
thf(f38923,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_564 ),
inference(constrained_superposition,[],[f63,f28737]) ).
thf(f38924,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) )
| ~ spl0_564 ),
inference(constrained_superposition,[],[f42,f28737]) ).
thf(f38929,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_564 ),
inference(trivial_inequality_removal,[],[f38923]) ).
thf(f38931,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) )
| ~ spl0_564 ),
inference(trivial_inequality_removal,[],[f38924]) ).
thf(f39037,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_545
| ~ spl0_564 ),
inference(constrained_superposition,[],[f38661,f28737]) ).
thf(f39043,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_545
| ~ spl0_564 ),
inference(trivial_inequality_removal,[],[f39037]) ).
thf(f39053,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_423
| ~ spl0_613 ),
inference(constrained_superposition,[],[f38902,f25847]) ).
thf(f39057,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_423
| ~ spl0_613 ),
inference(trivial_inequality_removal,[],[f39053]) ).
thf(f39062,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_423
| ~ spl0_439
| ~ spl0_613 ),
inference(forward_subsumption_resolution,[],[f39057,f32864]) ).
thf(f39063,plain,
( spl0_440
| ~ spl0_423
| ~ spl0_439
| ~ spl0_613 ),
inference(avatar_split_clause,[],[f39062,f32844,f26326,f25846,f26329]) ).
thf(f39065,plain,
( ~ spl0_44
| spl0_438
| spl0_444
| ~ spl0_564 ),
inference(avatar_split_clause,[],[f38931,f28736,f26496,f26278,f707]) ).
thf(f39066,plain,
( spl0_438
| ~ spl0_251
| spl0_608
| ~ spl0_564 ),
inference(avatar_split_clause,[],[f38929,f28736,f32302,f14439,f26278]) ).
thf(f39070,plain,
( ~ spl0_251
| spl0_438
| ~ spl0_545
| ~ spl0_564 ),
inference(avatar_split_clause,[],[f39043,f28736,f28579,f26278,f14439]) ).
thf(f39073,plain,
( spl0_19
| spl0_4
| ~ spl0_5
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f38798,f238,f99,f96,f299]) ).
thf(f39074,plain,
( spl0_4
| spl0_244
| ~ spl0_5
| ~ spl0_563 ),
inference(avatar_split_clause,[],[f38833,f28731,f99,f14315,f96]) ).
thf(f39075,plain,
( spl0_13
| spl0_8
| ~ spl0_16
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f38475,f238,f252,f137,f241]) ).
thf(f39100,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_19 ),
inference(constrained_superposition,[],[f30,f300]) ).
thf(f39101,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f39100]) ).
thf(f39145,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_626 ),
inference(constrained_superposition,[],[f49,f35424]) ).
thf(f39148,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_626 ),
inference(trivial_inequality_removal,[],[f39145]) ).
thf(f39156,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_30
| ~ spl0_227 ),
inference(constrained_superposition,[],[f534,f32891]) ).
thf(f39158,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_30
| ~ spl0_227 ),
inference(trivial_inequality_removal,[],[f39156]) ).
thf(f39165,plain,
( $false
| ~ spl0_30
| ~ spl0_227
| ~ spl0_244 ),
inference(forward_subsumption_resolution,[],[f39158,f14316]) ).
thf(f39166,plain,
( ~ spl0_30
| ~ spl0_227
| ~ spl0_244 ),
inference(avatar_contradiction_clause,[],[f39165]) ).
thf(f39167,plain,
( spl0_227
| spl0_13
| ~ spl0_12
| ~ spl0_563 ),
inference(avatar_split_clause,[],[f38832,f28731,f238,f241,f14149]) ).
thf(f39187,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_16 ),
inference(constrained_superposition,[],[f27,f535]) ).
thf(f39191,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f39187]) ).
thf(f39232,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_369 ),
inference(constrained_superposition,[],[f49,f28722]) ).
thf(f39236,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_369 ),
inference(trivial_inequality_removal,[],[f39232]) ).
thf(f39237,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| spl0_227 ),
inference(constrained_superposition,[],[f14150,f36]) ).
thf(f39238,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_227 ),
inference(trivial_inequality_removal,[],[f39237]) ).
thf(f39239,plain,
( spl0_18
| spl0_569
| spl0_227 ),
inference(avatar_split_clause,[],[f39238,f14149,f29944,f277]) ).
thf(f39245,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_569 ),
inference(constrained_superposition,[],[f42,f29945]) ).
thf(f39252,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_569 ),
inference(trivial_inequality_removal,[],[f39245]) ).
thf(f39260,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_16
| ~ spl0_569 ),
inference(forward_subsumption_resolution,[],[f39252,f535]) ).
thf(f39263,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_16
| spl0_244
| ~ spl0_569 ),
inference(forward_subsumption_resolution,[],[f39260,f20224]) ).
thf(f39265,plain,
( spl0_13
| ~ spl0_16
| spl0_244
| ~ spl0_569 ),
inference(avatar_split_clause,[],[f39263,f29944,f14315,f252,f241]) ).
thf(f39303,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_629 ),
inference(constrained_superposition,[],[f49,f37129]) ).
thf(f39305,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_629 ),
inference(trivial_inequality_removal,[],[f39303]) ).
thf(f39326,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_138
| ~ spl0_439 ),
inference(constrained_superposition,[],[f6990,f32864]) ).
thf(f39330,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_138
| ~ spl0_439 ),
inference(trivial_inequality_removal,[],[f39326]) ).
thf(f39333,plain,
( $false
| ~ spl0_138
| ~ spl0_439
| ~ spl0_626 ),
inference(forward_subsumption_resolution,[],[f39330,f35424]) ).
thf(f39334,plain,
( ~ spl0_138
| ~ spl0_439
| ~ spl0_626 ),
inference(avatar_contradiction_clause,[],[f39333]) ).
thf(f39353,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_227 ),
inference(constrained_superposition,[],[f127,f32891]) ).
thf(f39354,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_227 ),
inference(constrained_superposition,[],[f49,f32891]) ).
thf(f39355,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_227 ),
inference(constrained_superposition,[],[f30,f32891]) ).
thf(f39356,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_227 ),
inference(trivial_inequality_removal,[],[f39355]) ).
thf(f39357,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_227 ),
inference(trivial_inequality_removal,[],[f39353]) ).
thf(f39358,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_227 ),
inference(trivial_inequality_removal,[],[f39354]) ).
thf(f39364,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_421 ),
inference(constrained_superposition,[],[f42,f25840]) ).
thf(f39377,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_421 ),
inference(trivial_inequality_removal,[],[f39364]) ).
thf(f39380,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_455 ),
inference(constrained_superposition,[],[f127,f33047]) ).
thf(f39381,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_455 ),
inference(constrained_superposition,[],[f49,f33047]) ).
thf(f39383,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_455 ),
inference(trivial_inequality_removal,[],[f39380]) ).
thf(f39385,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_455 ),
inference(trivial_inequality_removal,[],[f39381]) ).
thf(f39464,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( b @ z @ ( s @ z ) )
= $true ) )
| ~ spl0_80 ),
inference(constrained_superposition,[],[f2460,f35]) ).
thf(f39467,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( b @ z @ ( s @ z ) )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_80 ),
inference(duplicate_literal_removal,[],[f39464]) ).
thf(f39468,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( b @ z @ ( s @ z ) )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f39467]) ).
thf(f39513,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_19 ),
inference(constrained_superposition,[],[f39101,f56]) ).
thf(f39516,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_19
| ~ spl0_227 ),
inference(constrained_superposition,[],[f39101,f32891]) ).
thf(f39520,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_19
| ~ spl0_227 ),
inference(trivial_inequality_removal,[],[f39516]) ).
thf(f39521,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f39513]) ).
thf(f39529,plain,
( spl0_625
| ~ spl0_19
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f39520,f14149,f299,f35304]) ).
thf(f39533,plain,
( spl0_628
| spl0_1
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f39468,f2459,f66,f36845]) ).
thf(f39539,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| spl0_244
| ~ spl0_421 ),
inference(forward_subsumption_resolution,[],[f39377,f20224]) ).
thf(f39540,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_8
| ~ spl0_626 ),
inference(forward_subsumption_resolution,[],[f39148,f541]) ).
thf(f39541,plain,
( ! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_8
| ~ spl0_369 ),
inference(forward_subsumption_resolution,[],[f39236,f541]) ).
thf(f39542,plain,
( spl0_12
| spl0_507
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f39521,f299,f27956,f238]) ).
thf(f39545,plain,
( spl0_435
| ~ spl0_582
| spl0_244
| ~ spl0_421 ),
inference(avatar_split_clause,[],[f39539,f25839,f14315,f31403,f26083]) ).
thf(f39546,plain,
( spl0_582
| spl0_6
| ~ spl0_8
| ~ spl0_626 ),
inference(avatar_split_clause,[],[f39540,f35423,f137,f130,f31403]) ).
thf(f39547,plain,
( spl0_6
| spl0_44
| ~ spl0_8
| ~ spl0_369 ),
inference(avatar_split_clause,[],[f39541,f23450,f137,f707,f130]) ).
thf(f39597,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_3
| ~ spl0_12 ),
inference(constrained_superposition,[],[f73,f265]) ).
thf(f39599,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ~ spl0_3
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f39597]) ).
thf(f39602,plain,
( spl0_49
| ~ spl0_3
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f39599,f238,f72,f860]) ).
thf(f39605,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_8
| ~ spl0_629 ),
inference(forward_subsumption_resolution,[],[f39305,f541]) ).
thf(f39607,plain,
( spl0_6
| spl0_601
| ~ spl0_8
| ~ spl0_629 ),
inference(avatar_split_clause,[],[f39605,f37128,f137,f31582,f130]) ).
thf(f39608,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_22
| ~ spl0_80 ),
inference(constrained_superposition,[],[f2460,f310]) ).
thf(f39612,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_22
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f39608]) ).
thf(f39614,plain,
( spl0_507
| ~ spl0_22
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f39612,f2459,f309,f27956]) ).
thf(f39645,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_6
| ~ spl0_629 ),
inference(constrained_superposition,[],[f131,f37129]) ).
thf(f39647,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_6
| ~ spl0_629 ),
inference(trivial_inequality_removal,[],[f39645]) ).
thf(f39651,plain,
( ~ spl0_444
| ~ spl0_6
| ~ spl0_629 ),
inference(avatar_split_clause,[],[f39647,f37128,f130,f26496]) ).
thf(f39652,plain,
( spl0_610
| ~ spl0_608
| spl0_12
| ~ spl0_455 ),
inference(avatar_split_clause,[],[f39383,f26749,f238,f32302,f32624]) ).
thf(f39730,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_608 ),
inference(constrained_superposition,[],[f33279,f36]) ).
thf(f39731,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_608 ),
inference(trivial_inequality_removal,[],[f39730]) ).
thf(f39732,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_608 ),
inference(forward_subsumption_resolution,[],[f39731,f29]) ).
thf(f39735,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| spl0_608 ),
inference(constrained_superposition,[],[f42,f39732]) ).
thf(f39736,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| spl0_608 ),
inference(constrained_superposition,[],[f11094,f39732]) ).
thf(f39740,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| spl0_608 ),
inference(trivial_inequality_removal,[],[f39735]) ).
thf(f39745,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| spl0_608 ),
inference(trivial_inequality_removal,[],[f39736]) ).
thf(f39774,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_421 ),
inference(constrained_superposition,[],[f11094,f25840]) ).
thf(f39786,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_421 ),
inference(trivial_inequality_removal,[],[f39774]) ).
thf(f39789,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_236
| ~ spl0_421 ),
inference(forward_subsumption_resolution,[],[f39786,f16034]) ).
thf(f39790,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| spl0_236
| ~ spl0_421
| ~ spl0_582 ),
inference(forward_subsumption_resolution,[],[f39789,f31404]) ).
thf(f39791,plain,
( spl0_435
| spl0_236
| ~ spl0_421
| ~ spl0_582 ),
inference(avatar_split_clause,[],[f39790,f31403,f25839,f14210,f26083]) ).
thf(f39795,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_435 ),
inference(constrained_superposition,[],[f26084,f55]) ).
thf(f39800,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_435 ),
inference(trivial_inequality_removal,[],[f39795]) ).
thf(f39840,plain,
( spl0_12
| spl0_609
| ~ spl0_43
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f39357,f14149,f704,f32612,f238]) ).
thf(f39841,plain,
( ~ spl0_1
| spl0_3
| spl0_444
| spl0_608 ),
inference(avatar_split_clause,[],[f39740,f32302,f26496,f72,f66]) ).
thf(f39845,plain,
( spl0_21
| spl0_544
| ~ spl0_435 ),
inference(avatar_split_clause,[],[f39800,f26083,f28576,f306]) ).
thf(f39859,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) )
| spl0_22 ),
inference(constrained_superposition,[],[f1070,f36]) ).
thf(f39860,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) )
| spl0_22 ),
inference(trivial_inequality_removal,[],[f39859]) ).
thf(f39861,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| spl0_22 ),
inference(forward_subsumption_resolution,[],[f39860,f29]) ).
thf(f39862,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_16
| spl0_22 ),
inference(constrained_superposition,[],[f39191,f39861]) ).
thf(f39864,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true ) )
| spl0_22 ),
inference(constrained_superposition,[],[f42,f39861]) ).
thf(f39865,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| spl0_22 ),
inference(constrained_superposition,[],[f11094,f39861]) ).
thf(f39869,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| spl0_22 ),
inference(trivial_inequality_removal,[],[f39865]) ).
thf(f39871,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_16
| spl0_22 ),
inference(trivial_inequality_removal,[],[f39862]) ).
thf(f39875,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_22 ),
inference(trivial_inequality_removal,[],[f39864]) ).
thf(f39886,plain,
( ( $true != $true )
| ~ spl0_421
| ~ spl0_607 ),
inference(constrained_superposition,[],[f32098,f25840]) ).
thf(f39896,plain,
( $false
| ~ spl0_421
| ~ spl0_607 ),
inference(trivial_inequality_removal,[],[f39886]) ).
thf(f39897,plain,
( ~ spl0_421
| ~ spl0_607 ),
inference(avatar_contradiction_clause,[],[f39896]) ).
thf(f39898,plain,
( spl0_3
| ~ spl0_1
| spl0_19
| spl0_22 ),
inference(avatar_split_clause,[],[f39875,f309,f299,f66,f72]) ).
thf(f39899,plain,
( ~ spl0_1
| spl0_3
| ~ spl0_16
| spl0_22 ),
inference(avatar_split_clause,[],[f39871,f309,f252,f72,f66]) ).
thf(f39901,plain,
( ~ spl0_1
| spl0_3
| spl0_575
| spl0_608 ),
inference(avatar_split_clause,[],[f39745,f32302,f30446,f72,f66]) ).
thf(f39921,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| spl0_22
| ~ spl0_614 ),
inference(constrained_superposition,[],[f1070,f32850]) ).
thf(f39927,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_22
| ~ spl0_614 ),
inference(trivial_inequality_removal,[],[f39921]) ).
thf(f39933,plain,
( spl0_18
| spl0_22
| ~ spl0_614 ),
inference(avatar_split_clause,[],[f39927,f32849,f309,f277]) ).
thf(f39936,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_19 ),
inference(constrained_superposition,[],[f30,f300]) ).
thf(f39937,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f39936]) ).
thf(f40002,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_545 ),
inference(constrained_superposition,[],[f27,f28580]) ).
thf(f40009,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_545 ),
inference(trivial_inequality_removal,[],[f40002]) ).
thf(f40017,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_422 ),
inference(constrained_superposition,[],[f127,f25843]) ).
thf(f40020,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_422 ),
inference(trivial_inequality_removal,[],[f40017]) ).
thf(f40024,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_560
| ~ spl0_563 ),
inference(constrained_superposition,[],[f28732,f28717]) ).
thf(f40039,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_560
| ~ spl0_563 ),
inference(trivial_inequality_removal,[],[f40024]) ).
thf(f40044,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_545
| ~ spl0_560
| ~ spl0_563 ),
inference(forward_subsumption_resolution,[],[f40039,f28580]) ).
thf(f40045,plain,
( spl0_447
| ~ spl0_545
| ~ spl0_560
| ~ spl0_563 ),
inference(avatar_split_clause,[],[f40044,f28731,f28716,f28579,f26514]) ).
thf(f40076,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_423
| ~ spl0_543 ),
inference(constrained_superposition,[],[f28574,f25847]) ).
thf(f40079,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_423
| ~ spl0_543 ),
inference(trivial_inequality_removal,[],[f40076]) ).
thf(f40083,plain,
( $false
| ~ spl0_43
| ~ spl0_423
| ~ spl0_543 ),
inference(forward_subsumption_resolution,[],[f40079,f705]) ).
thf(f40084,plain,
( ~ spl0_43
| ~ spl0_423
| ~ spl0_543 ),
inference(avatar_contradiction_clause,[],[f40083]) ).
thf(f40143,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_19 ),
inference(constrained_superposition,[],[f39937,f35]) ).
thf(f40145,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_19
| ~ spl0_439 ),
inference(constrained_superposition,[],[f39937,f32864]) ).
thf(f40150,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_19 ),
inference(duplicate_literal_removal,[],[f40143]) ).
thf(f40151,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f40150]) ).
thf(f40154,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_19
| ~ spl0_439 ),
inference(trivial_inequality_removal,[],[f40145]) ).
thf(f40158,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_19
| ~ spl0_430
| ~ spl0_439 ),
inference(constrained_superposition,[],[f40154,f25876]) ).
thf(f40163,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_19
| ~ spl0_430
| ~ spl0_439 ),
inference(trivial_inequality_removal,[],[f40158]) ).
thf(f40168,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_19
| ~ spl0_430
| ~ spl0_439
| ~ spl0_444 ),
inference(forward_subsumption_resolution,[],[f40163,f26497]) ).
thf(f40169,plain,
( $false
| ~ spl0_19
| ~ spl0_430
| ~ spl0_439
| ~ spl0_444
| ~ spl0_455 ),
inference(forward_subsumption_resolution,[],[f40168,f33047]) ).
thf(f40170,plain,
( ~ spl0_19
| ~ spl0_430
| ~ spl0_439
| ~ spl0_444
| ~ spl0_455 ),
inference(avatar_contradiction_clause,[],[f40169]) ).
thf(f40171,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_43
| ~ spl0_422 ),
inference(forward_subsumption_resolution,[],[f40020,f705]) ).
thf(f40172,plain,
( spl0_609
| spl0_465
| ~ spl0_43
| ~ spl0_422 ),
inference(avatar_split_clause,[],[f40171,f25842,f704,f26986,f32612]) ).
thf(f40209,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_500
| ~ spl0_625 ),
inference(constrained_superposition,[],[f35305,f28734]) ).
thf(f40210,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_500 ),
inference(constrained_superposition,[],[f127,f28734]) ).
thf(f40211,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true ) )
| ~ spl0_500 ),
inference(constrained_superposition,[],[f49,f28734]) ).
thf(f40214,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_500 ),
inference(trivial_inequality_removal,[],[f40211]) ).
thf(f40215,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_500 ),
inference(trivial_inequality_removal,[],[f40210]) ).
thf(f40216,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_500
| ~ spl0_625 ),
inference(trivial_inequality_removal,[],[f40209]) ).
thf(f40220,plain,
( spl0_28
| spl0_3
| ~ spl0_1
| spl0_22 ),
inference(avatar_split_clause,[],[f39869,f309,f66,f72,f524]) ).
thf(f40221,plain,
( spl0_584
| spl0_16
| ~ spl0_444
| ~ spl0_455 ),
inference(avatar_split_clause,[],[f39385,f26749,f26496,f252,f31416]) ).
thf(f40222,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_455
| ~ spl0_500
| ~ spl0_625 ),
inference(forward_subsumption_resolution,[],[f40216,f33047]) ).
thf(f40224,plain,
( spl0_30
| spl0_16
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f40151,f299,f252,f533]) ).
thf(f40225,plain,
( ~ spl0_444
| ~ spl0_455
| ~ spl0_500
| ~ spl0_625 ),
inference(avatar_split_clause,[],[f40222,f35304,f27878,f26749,f26496]) ).
thf(f40249,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ X0 )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_451 ),
inference(constrained_superposition,[],[f127,f26571]) ).
thf(f40251,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_451 ),
inference(constrained_superposition,[],[f30,f26571]) ).
thf(f40253,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_451 ),
inference(trivial_inequality_removal,[],[f40249]) ).
thf(f40255,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_451 ),
inference(trivial_inequality_removal,[],[f40251]) ).
thf(f40256,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_39
| ~ spl0_451 ),
inference(forward_subsumption_resolution,[],[f40253,f28596]) ).
thf(f40257,plain,
( spl0_465
| spl0_9
| ~ spl0_39
| ~ spl0_451 ),
inference(avatar_split_clause,[],[f40256,f26570,f614,f151,f26986]) ).
thf(f40268,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_601 ),
inference(constrained_superposition,[],[f27,f31583]) ).
thf(f40271,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_601 ),
inference(trivial_inequality_removal,[],[f40268]) ).
thf(f40277,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_465 ),
inference(constrained_superposition,[],[f27,f26987]) ).
thf(f40281,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_465 ),
inference(trivial_inequality_removal,[],[f40277]) ).
thf(f40373,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_451 ),
inference(constrained_superposition,[],[f40255,f56]) ).
thf(f40377,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_451 ),
inference(trivial_inequality_removal,[],[f40373]) ).
thf(f40422,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_601 ),
inference(constrained_superposition,[],[f40271,f55]) ).
thf(f40429,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_601 ),
inference(trivial_inequality_removal,[],[f40422]) ).
thf(f40431,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_465 ),
inference(constrained_superposition,[],[f40281,f34]) ).
thf(f40436,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) )
| ~ spl0_465 ),
inference(trivial_inequality_removal,[],[f40431]) ).
thf(f40454,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_431
| ~ spl0_545 ),
inference(constrained_superposition,[],[f40009,f25879]) ).
thf(f40463,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_431
| ~ spl0_545 ),
inference(trivial_inequality_removal,[],[f40454]) ).
thf(f40465,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_431
| ~ spl0_465
| ~ spl0_545 ),
inference(forward_subsumption_resolution,[],[f40463,f26987]) ).
thf(f40466,plain,
( spl0_435
| ~ spl0_431
| ~ spl0_465
| ~ spl0_545 ),
inference(avatar_split_clause,[],[f40465,f28579,f26986,f25878,f26083]) ).
thf(f40467,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) ) )
| spl0_425
| ~ spl0_465 ),
inference(forward_subsumption_resolution,[],[f40436,f27203]) ).
thf(f40468,plain,
( spl0_3
| ~ spl0_1
| spl0_608
| ~ spl0_601 ),
inference(avatar_split_clause,[],[f40429,f31582,f32302,f66,f72]) ).
thf(f40471,plain,
( spl0_610
| spl0_251
| ~ spl0_608
| ~ spl0_500 ),
inference(avatar_split_clause,[],[f40215,f27878,f32302,f14439,f32624]) ).
thf(f40472,plain,
( ~ spl0_5
| spl0_4
| spl0_425
| ~ spl0_465 ),
inference(avatar_split_clause,[],[f40467,f26986,f25854,f96,f99]) ).
thf(f40474,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_8
| ~ spl0_451 ),
inference(forward_subsumption_resolution,[],[f40377,f541]) ).
thf(f40475,plain,
( spl0_6
| spl0_465
| ~ spl0_8
| ~ spl0_451 ),
inference(avatar_split_clause,[],[f40474,f26570,f137,f26986,f130]) ).
thf(f40499,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_251 ),
inference(constrained_superposition,[],[f11094,f14440]) ).
thf(f40504,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_251 ),
inference(trivial_inequality_removal,[],[f40499]) ).
thf(f40531,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_544 ),
inference(constrained_superposition,[],[f28577,f36]) ).
thf(f40532,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_544 ),
inference(trivial_inequality_removal,[],[f40531]) ).
thf(f40533,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_544 ),
inference(forward_subsumption_resolution,[],[f40532,f29]) ).
thf(f40534,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_465 ),
inference(constrained_superposition,[],[f32617,f28]) ).
thf(f40535,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_465 ),
inference(trivial_inequality_removal,[],[f40534]) ).
thf(f40536,plain,
( spl0_433
| spl0_626
| spl0_465 ),
inference(avatar_split_clause,[],[f40535,f26986,f35423,f26067]) ).
thf(f40558,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| spl0_544 ),
inference(constrained_superposition,[],[f233,f40533]) ).
thf(f40562,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_198
| spl0_544 ),
inference(constrained_superposition,[],[f11622,f40533]) ).
thf(f40563,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true ) )
| spl0_544 ),
inference(constrained_superposition,[],[f27,f40533]) ).
thf(f40567,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| spl0_544 ),
inference(trivial_inequality_removal,[],[f40563]) ).
thf(f40572,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_198
| spl0_544 ),
inference(trivial_inequality_removal,[],[f40562]) ).
thf(f40573,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| spl0_544 ),
inference(trivial_inequality_removal,[],[f40558]) ).
thf(f40575,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_198
| spl0_425
| spl0_544 ),
inference(forward_subsumption_resolution,[],[f40572,f27203]) ).
thf(f40576,plain,
( $false
| ~ spl0_198
| spl0_425
| spl0_544 ),
inference(forward_subsumption_resolution,[],[f40575,f29]) ).
thf(f40577,plain,
( ~ spl0_198
| spl0_425
| spl0_544 ),
inference(avatar_contradiction_clause,[],[f40576]) ).
thf(f40578,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( ( r @ z @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_575 ),
inference(constrained_superposition,[],[f127,f31251]) ).
thf(f40580,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_575 ),
inference(constrained_superposition,[],[f30,f31251]) ).
thf(f40581,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_575 ),
inference(trivial_inequality_removal,[],[f40580]) ).
thf(f40583,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( ( r @ z @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_575 ),
inference(trivial_inequality_removal,[],[f40578]) ).
thf(f40586,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_59
| ~ spl0_439 ),
inference(constrained_superposition,[],[f1222,f32864]) ).
thf(f40587,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_59
| ~ spl0_455 ),
inference(constrained_superposition,[],[f1222,f33047]) ).
thf(f40590,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_59
| ~ spl0_455 ),
inference(trivial_inequality_removal,[],[f40587]) ).
thf(f40592,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_59
| ~ spl0_439 ),
inference(trivial_inequality_removal,[],[f40586]) ).
thf(f40596,plain,
( $false
| ~ spl0_59
| ~ spl0_455
| ~ spl0_575 ),
inference(forward_subsumption_resolution,[],[f40590,f31251]) ).
thf(f40597,plain,
( ~ spl0_59
| ~ spl0_455
| ~ spl0_575 ),
inference(avatar_contradiction_clause,[],[f40596]) ).
thf(f40598,plain,
( $false
| ~ spl0_59
| ~ spl0_439
| ~ spl0_451 ),
inference(forward_subsumption_resolution,[],[f40592,f26571]) ).
thf(f40599,plain,
( ~ spl0_59
| ~ spl0_439
| ~ spl0_451 ),
inference(avatar_contradiction_clause,[],[f40598]) ).
thf(f40604,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_545 ),
inference(constrained_superposition,[],[f36230,f28]) ).
thf(f40605,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| spl0_545 ),
inference(trivial_inequality_removal,[],[f40604]) ).
thf(f40606,plain,
( spl0_629
| spl0_449
| spl0_545 ),
inference(avatar_split_clause,[],[f40605,f28579,f26523,f37128]) ).
thf(f40607,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_608 ),
inference(constrained_superposition,[],[f33279,f36]) ).
thf(f40608,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_608 ),
inference(trivial_inequality_removal,[],[f40607]) ).
thf(f40609,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_608 ),
inference(forward_subsumption_resolution,[],[f40608,f29]) ).
thf(f40618,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| spl0_608 ),
inference(constrained_superposition,[],[f233,f40609]) ).
thf(f40622,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| spl0_608 ),
inference(constrained_superposition,[],[f27,f40609]) ).
thf(f40625,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| spl0_608 ),
inference(trivial_inequality_removal,[],[f40618]) ).
thf(f40629,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_608 ),
inference(trivial_inequality_removal,[],[f40622]) ).
thf(f40649,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_227
| ~ spl0_609 ),
inference(constrained_superposition,[],[f32613,f32891]) ).
thf(f40654,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_227
| ~ spl0_609 ),
inference(trivial_inequality_removal,[],[f40649]) ).
thf(f40656,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_560
| ~ spl0_619 ),
inference(constrained_superposition,[],[f32878,f28717]) ).
thf(f40663,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_560 ),
inference(constrained_superposition,[],[f27,f28717]) ).
thf(f40666,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_560
| ~ spl0_619 ),
inference(trivial_inequality_removal,[],[f40656]) ).
thf(f40670,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_560 ),
inference(trivial_inequality_removal,[],[f40663]) ).
thf(f40677,plain,
( ~ spl0_627
| spl0_447
| ~ spl0_560
| ~ spl0_619 ),
inference(avatar_split_clause,[],[f40666,f32877,f28716,f26514,f36145]) ).
thf(f40699,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_428 ),
inference(constrained_superposition,[],[f27,f25869]) ).
thf(f40706,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_428 ),
inference(trivial_inequality_removal,[],[f40699]) ).
thf(f40751,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| spl0_544 ),
inference(constrained_superposition,[],[f40567,f216]) ).
thf(f40756,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_544 ),
inference(trivial_inequality_removal,[],[f40751]) ).
thf(f40766,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_575 ),
inference(constrained_superposition,[],[f40581,f56]) ).
thf(f40771,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_575 ),
inference(trivial_inequality_removal,[],[f40766]) ).
thf(f40789,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| spl0_608 ),
inference(constrained_superposition,[],[f40629,f216]) ).
thf(f40796,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| spl0_608 ),
inference(trivial_inequality_removal,[],[f40789]) ).
thf(f40801,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_46 ),
inference(constrained_superposition,[],[f720,f35]) ).
thf(f40804,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_46
| ~ spl0_500 ),
inference(constrained_superposition,[],[f720,f28734]) ).
thf(f40810,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_46 ),
inference(trivial_inequality_removal,[],[f40801]) ).
thf(f40811,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_46
| ~ spl0_500 ),
inference(trivial_inequality_removal,[],[f40804]) ).
thf(f40825,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_46
| ~ spl0_500 ),
inference(constrained_superposition,[],[f40811,f35]) ).
thf(f40835,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_46
| ~ spl0_500 ),
inference(trivial_inequality_removal,[],[f40825]) ).
thf(f40848,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_560 ),
inference(constrained_superposition,[],[f40670,f34]) ).
thf(f40857,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_560 ),
inference(trivial_inequality_removal,[],[f40848]) ).
thf(f40862,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_444
| ~ spl0_560 ),
inference(forward_subsumption_resolution,[],[f40857,f27202]) ).
thf(f40865,plain,
( spl0_4
| ~ spl0_285
| spl0_444
| ~ spl0_560 ),
inference(avatar_split_clause,[],[f40862,f28716,f26496,f16174,f96]) ).
thf(f40874,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_559
| ~ spl0_575 ),
inference(constrained_superposition,[],[f40581,f28714]) ).
thf(f40875,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) )
| ~ spl0_559 ),
inference(constrained_superposition,[],[f127,f28714]) ).
thf(f40879,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_559
| ~ spl0_575 ),
inference(trivial_inequality_removal,[],[f40874]) ).
thf(f40882,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_559 ),
inference(trivial_inequality_removal,[],[f40875]) ).
thf(f40890,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_227 ),
inference(constrained_superposition,[],[f39356,f35]) ).
thf(f40893,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_227
| ~ spl0_500 ),
inference(constrained_superposition,[],[f39356,f28734]) ).
thf(f40895,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_227
| ~ spl0_500 ),
inference(trivial_inequality_removal,[],[f40893]) ).
thf(f40897,plain,
( ! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_227 ),
inference(trivial_inequality_removal,[],[f40890]) ).
thf(f40926,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_428 ),
inference(constrained_superposition,[],[f40706,f34]) ).
thf(f40929,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_428
| spl0_608 ),
inference(constrained_superposition,[],[f40706,f40609]) ).
thf(f40933,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_428 ),
inference(trivial_inequality_removal,[],[f40926]) ).
thf(f40934,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_428
| spl0_608 ),
inference(trivial_inequality_removal,[],[f40929]) ).
thf(f40940,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_428
| spl0_444 ),
inference(forward_subsumption_resolution,[],[f40933,f27202]) ).
thf(f40941,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_428
| spl0_544
| spl0_608 ),
inference(forward_subsumption_resolution,[],[f40934,f40533]) ).
thf(f40943,plain,
( spl0_4
| ~ spl0_426
| ~ spl0_428
| spl0_444 ),
inference(avatar_split_clause,[],[f40940,f26496,f25868,f25859,f96]) ).
thf(f40944,plain,
( spl0_3
| ~ spl0_428
| spl0_544
| spl0_608 ),
inference(avatar_split_clause,[],[f40941,f32302,f28576,f25868,f72]) ).
thf(f40947,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_227
| ~ spl0_429
| ~ spl0_500 ),
inference(constrained_superposition,[],[f40895,f25872]) ).
thf(f40949,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_46
| ~ spl0_429
| ~ spl0_500 ),
inference(constrained_superposition,[],[f40811,f25872]) ).
thf(f40950,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true ) )
| ~ spl0_429
| ~ spl0_575 ),
inference(constrained_superposition,[],[f40581,f25872]) ).
thf(f40951,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_429 ),
inference(constrained_superposition,[],[f127,f25872]) ).
thf(f40952,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_429 ),
inference(constrained_superposition,[],[f49,f25872]) ).
thf(f40954,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_46
| ~ spl0_429
| ~ spl0_500 ),
inference(trivial_inequality_removal,[],[f40949]) ).
thf(f40955,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_227
| ~ spl0_429
| ~ spl0_500 ),
inference(trivial_inequality_removal,[],[f40947]) ).
thf(f40958,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true ) )
| ~ spl0_429
| ~ spl0_575 ),
inference(trivial_inequality_removal,[],[f40950]) ).
thf(f40960,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true ) )
| ~ spl0_429 ),
inference(trivial_inequality_removal,[],[f40952]) ).
thf(f40961,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_429 ),
inference(trivial_inequality_removal,[],[f40951]) ).
thf(f40965,plain,
( ~ spl0_12
| spl0_455
| spl0_13
| spl0_608 ),
inference(avatar_split_clause,[],[f40796,f32302,f241,f26749,f238]) ).
thf(f40966,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_8
| ~ spl0_575 ),
inference(forward_subsumption_resolution,[],[f40771,f541]) ).
thf(f40967,plain,
( ~ spl0_23
| spl0_3
| spl0_455
| spl0_608 ),
inference(avatar_split_clause,[],[f40625,f32302,f26749,f72,f346]) ).
thf(f40968,plain,
( spl0_583
| ~ spl0_425
| ~ spl0_429
| ~ spl0_575 ),
inference(avatar_split_clause,[],[f40958,f30446,f25871,f25854,f31408]) ).
thf(f40970,plain,
( spl0_583
| ~ spl0_425
| spl0_601
| ~ spl0_429 ),
inference(avatar_split_clause,[],[f40960,f25871,f31582,f25854,f31408]) ).
thf(f40971,plain,
( ~ spl0_23
| spl0_3
| spl0_439
| spl0_544 ),
inference(avatar_split_clause,[],[f40573,f28576,f26326,f72,f346]) ).
thf(f40972,plain,
( ~ spl0_22
| ~ spl0_227
| ~ spl0_609 ),
inference(avatar_split_clause,[],[f40654,f32612,f14149,f309]) ).
thf(f40973,plain,
( ~ spl0_12
| spl0_439
| spl0_13
| spl0_544 ),
inference(avatar_split_clause,[],[f40756,f28576,f241,f26326,f238]) ).
thf(f40975,plain,
( spl0_545
| spl0_6
| ~ spl0_8
| ~ spl0_575 ),
inference(avatar_split_clause,[],[f40966,f30446,f137,f130,f28579]) ).
thf(f40977,plain,
( ~ spl0_39
| ~ spl0_236
| spl0_601
| ~ spl0_46
| ~ spl0_500 ),
inference(avatar_split_clause,[],[f40835,f27878,f719,f31582,f14210,f614]) ).
thf(f40980,plain,
( spl0_612
| ~ spl0_244
| ~ spl0_559
| ~ spl0_575 ),
inference(avatar_split_clause,[],[f40879,f30446,f28713,f14315,f32839]) ).
thf(f40981,plain,
( spl0_44
| spl0_584
| ~ spl0_444
| ~ spl0_500 ),
inference(avatar_split_clause,[],[f40214,f27878,f26496,f31416,f707]) ).
thf(f40982,plain,
( spl0_545
| spl0_609
| ~ spl0_43
| ~ spl0_559 ),
inference(avatar_split_clause,[],[f40882,f28713,f704,f32612,f28579]) ).
thf(f40986,plain,
( ~ spl0_544
| ~ spl0_423
| ~ spl0_46
| ~ spl0_429
| ~ spl0_500 ),
inference(avatar_split_clause,[],[f40954,f27878,f25871,f719,f25846,f28576]) ).
thf(f40987,plain,
( spl0_252
| spl0_44
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f40810,f719,f707,f14499]) ).
thf(f40988,plain,
( ~ spl0_439
| ~ spl0_423
| ~ spl0_227
| ~ spl0_429
| ~ spl0_500 ),
inference(avatar_split_clause,[],[f40955,f27878,f25871,f14149,f25846,f26326]) ).
thf(f40989,plain,
( spl0_612
| spl0_16
| ~ spl0_244
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f39358,f14149,f14315,f252,f32839]) ).
thf(f40990,plain,
( spl0_39
| spl0_438
| ~ spl0_44
| ~ spl0_251 ),
inference(avatar_split_clause,[],[f40504,f14439,f707,f26278,f614]) ).
thf(f40991,plain,
( spl0_545
| spl0_543
| ~ spl0_544
| ~ spl0_429 ),
inference(avatar_split_clause,[],[f40961,f25871,f28576,f28573,f28579]) ).
thf(f40992,plain,
( ~ spl0_39
| spl0_545
| spl0_9
| ~ spl0_575 ),
inference(avatar_split_clause,[],[f40583,f30446,f151,f28579,f614]) ).
thf(f40993,plain,
( spl0_625
| spl0_44
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f40897,f14149,f707,f35304]) ).
thf(f41006,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_16 ),
inference(constrained_superposition,[],[f27,f535]) ).
thf(f41008,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( X0 = X1 )
| ( $true != $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X2 ) )
| ( ( s @ ( s @ z ) )
= X2 ) )
| ~ spl0_16 ),
inference(constrained_superposition,[],[f11120,f535]) ).
thf(f41010,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X2 ) )
| ( ( b @ X0 @ z )
!= $true )
| ( X0 = X1 )
| ( ( b @ X1 @ z )
!= $true )
| ( ( s @ ( s @ z ) )
= X2 )
| ( ( r @ X0 @ X1 )
= $true ) )
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f41008]) ).
thf(f41011,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f41006]) ).
thf(f41012,plain,
( spl0_614
| spl0_188
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f41010,f252,f11358,f32849]) ).
thf(f41015,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_12 ),
inference(constrained_superposition,[],[f27,f265]) ).
thf(f41019,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f41015]) ).
thf(f41047,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ z @ X0 )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_236 ),
inference(constrained_superposition,[],[f127,f14211]) ).
thf(f41054,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ X0 )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_236 ),
inference(trivial_inequality_removal,[],[f41047]) ).
thf(f41088,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| spl0_43 ),
inference(constrained_superposition,[],[f32614,f36]) ).
thf(f41089,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_43 ),
inference(trivial_inequality_removal,[],[f41088]) ).
thf(f41090,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_43 ),
inference(forward_subsumption_resolution,[],[f41089,f29]) ).
thf(f41178,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_255 ),
inference(constrained_superposition,[],[f14523,f56]) ).
thf(f41183,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_255 ),
inference(trivial_inequality_removal,[],[f41178]) ).
thf(f41205,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_424 ),
inference(constrained_superposition,[],[f11094,f25850]) ).
thf(f41206,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_424 ),
inference(constrained_superposition,[],[f27,f25850]) ).
thf(f41210,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_424 ),
inference(trivial_inequality_removal,[],[f41205]) ).
thf(f41213,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_424 ),
inference(trivial_inequality_removal,[],[f41206]) ).
thf(f41229,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_430 ),
inference(constrained_superposition,[],[f127,f25876]) ).
thf(f41232,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_430 ),
inference(trivial_inequality_removal,[],[f41229]) ).
thf(f41237,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_455
| ~ spl0_610 ),
inference(constrained_superposition,[],[f32625,f33047]) ).
thf(f41239,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_430
| ~ spl0_610 ),
inference(constrained_superposition,[],[f32625,f25876]) ).
thf(f41240,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_430
| ~ spl0_610 ),
inference(trivial_inequality_removal,[],[f41239]) ).
thf(f41243,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_455
| ~ spl0_610 ),
inference(trivial_inequality_removal,[],[f41237]) ).
thf(f41245,plain,
( $false
| ~ spl0_430
| ~ spl0_544
| ~ spl0_610 ),
inference(forward_subsumption_resolution,[],[f41240,f28591]) ).
thf(f41246,plain,
( ~ spl0_430
| ~ spl0_544
| ~ spl0_610 ),
inference(avatar_contradiction_clause,[],[f41245]) ).
thf(f41247,plain,
( $false
| ~ spl0_22
| ~ spl0_455
| ~ spl0_610 ),
inference(forward_subsumption_resolution,[],[f41243,f310]) ).
thf(f41248,plain,
( ~ spl0_22
| ~ spl0_455
| ~ spl0_610 ),
inference(avatar_contradiction_clause,[],[f41247]) ).
thf(f41261,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_623 ),
inference(avatar_component_clause,[],[f33045]) ).
thf(f41292,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_12
| ~ spl0_623 ),
inference(constrained_superposition,[],[f41019,f41261]) ).
thf(f41297,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_12
| ~ spl0_623 ),
inference(trivial_inequality_removal,[],[f41292]) ).
thf(f41302,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_12
| ~ spl0_251
| ~ spl0_623 ),
inference(forward_subsumption_resolution,[],[f41297,f14440]) ).
thf(f41305,plain,
( spl0_438
| ~ spl0_12
| ~ spl0_251
| ~ spl0_623 ),
inference(avatar_split_clause,[],[f41302,f33045,f14439,f238,f26278]) ).
thf(f41306,plain,
( $false
| ~ spl0_97
| spl0_251 ),
inference(forward_subsumption_resolution,[],[f34408,f3656]) ).
thf(f41307,plain,
( ~ spl0_97
| spl0_251 ),
inference(avatar_contradiction_clause,[],[f41306]) ).
thf(f41312,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_8
| ~ spl0_255 ),
inference(forward_subsumption_resolution,[],[f41183,f541]) ).
thf(f41313,plain,
( ~ spl0_608
| spl0_610
| spl0_465
| ~ spl0_430 ),
inference(avatar_split_clause,[],[f41232,f25875,f26986,f32624,f32302]) ).
thf(f41314,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_39
| ~ spl0_236 ),
inference(forward_subsumption_resolution,[],[f41054,f28596]) ).
thf(f41315,plain,
( spl0_251
| ~ spl0_8
| ~ spl0_255 ),
inference(avatar_split_clause,[],[f41312,f14522,f137,f14439]) ).
thf(f41316,plain,
( spl0_251
| spl0_9
| ~ spl0_39
| ~ spl0_236 ),
inference(avatar_split_clause,[],[f41314,f14210,f614,f151,f14439]) ).
thf(f41330,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_582 ),
inference(constrained_superposition,[],[f27,f31404]) ).
thf(f41333,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_582 ),
inference(trivial_inequality_removal,[],[f41330]) ).
thf(f41378,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_613 ),
inference(constrained_superposition,[],[f127,f32845]) ).
thf(f41383,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_613 ),
inference(trivial_inequality_removal,[],[f41378]) ).
thf(f41386,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| spl0_251
| ~ spl0_613 ),
inference(forward_subsumption_resolution,[],[f41383,f34408]) ).
thf(f41496,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_424
| ~ spl0_582 ),
inference(constrained_superposition,[],[f41333,f25850]) ).
thf(f41503,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_424
| ~ spl0_582 ),
inference(trivial_inequality_removal,[],[f41496]) ).
thf(f41511,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_45
| ~ spl0_455 ),
inference(constrained_superposition,[],[f716,f33047]) ).
thf(f41519,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_45
| ~ spl0_455 ),
inference(trivial_inequality_removal,[],[f41511]) ).
thf(f41533,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_45
| ~ spl0_429
| ~ spl0_455 ),
inference(constrained_superposition,[],[f41519,f25872]) ).
thf(f41540,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_45
| ~ spl0_429
| ~ spl0_455 ),
inference(trivial_inequality_removal,[],[f41533]) ).
thf(f41542,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_45
| ~ spl0_429
| ~ spl0_439
| ~ spl0_455 ),
inference(forward_subsumption_resolution,[],[f41540,f32864]) ).
thf(f41543,plain,
( $false
| ~ spl0_45
| ~ spl0_429
| ~ spl0_439
| ~ spl0_455
| ~ spl0_544 ),
inference(forward_subsumption_resolution,[],[f41542,f28591]) ).
thf(f41544,plain,
( ~ spl0_45
| ~ spl0_429
| ~ spl0_439
| ~ spl0_455
| ~ spl0_544 ),
inference(avatar_contradiction_clause,[],[f41543]) ).
thf(f41545,plain,
( ~ spl0_22
| spl0_33
| spl0_251
| ~ spl0_613 ),
inference(avatar_split_clause,[],[f41386,f32844,f14439,f585,f309]) ).
thf(f41577,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_544 ),
inference(constrained_superposition,[],[f28577,f36]) ).
thf(f41578,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_544 ),
inference(trivial_inequality_removal,[],[f41577]) ).
thf(f41579,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_544 ),
inference(forward_subsumption_resolution,[],[f41578,f29]) ).
thf(f41680,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_424
| spl0_544 ),
inference(constrained_superposition,[],[f41213,f41579]) ).
thf(f41684,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_424
| spl0_544 ),
inference(trivial_inequality_removal,[],[f41680]) ).
thf(f41691,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_43
| ~ spl0_424
| spl0_544 ),
inference(forward_subsumption_resolution,[],[f41684,f41090]) ).
thf(f41693,plain,
( spl0_3
| spl0_43
| ~ spl0_424
| spl0_544 ),
inference(avatar_split_clause,[],[f41691,f28576,f25849,f704,f72]) ).
thf(f41695,plain,
( ~ spl0_44
| spl0_451
| spl0_438
| ~ spl0_424 ),
inference(avatar_split_clause,[],[f41210,f25849,f26278,f26570,f707]) ).
thf(f41698,plain,
( ~ spl0_546
| spl0_3
| ~ spl0_424
| spl0_544 ),
inference(avatar_split_clause,[],[f41684,f28576,f25849,f72,f28589]) ).
thf(f41699,plain,
( ~ spl0_44
| spl0_438
| ~ spl0_424
| ~ spl0_582 ),
inference(avatar_split_clause,[],[f41503,f31403,f25849,f26278,f707]) ).
thf(f41750,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_16
| ~ spl0_623 ),
inference(constrained_superposition,[],[f41011,f41261]) ).
thf(f41753,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_623 ),
inference(constrained_superposition,[],[f11094,f41261]) ).
thf(f41761,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_623 ),
inference(trivial_inequality_removal,[],[f41753]) ).
thf(f41764,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_16
| ~ spl0_623 ),
inference(trivial_inequality_removal,[],[f41750]) ).
thf(f41766,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_28
| ~ spl0_623 ),
inference(forward_subsumption_resolution,[],[f41761,f525]) ).
thf(f41767,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_16
| ~ spl0_44
| ~ spl0_623 ),
inference(forward_subsumption_resolution,[],[f41764,f708]) ).
thf(f41768,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| spl0_28
| ~ spl0_44
| ~ spl0_623 ),
inference(forward_subsumption_resolution,[],[f41766,f708]) ).
thf(f41769,plain,
( spl0_438
| ~ spl0_16
| ~ spl0_44
| ~ spl0_623 ),
inference(avatar_split_clause,[],[f41767,f33045,f707,f252,f26278]) ).
thf(f41770,plain,
( spl0_438
| spl0_28
| ~ spl0_44
| ~ spl0_623 ),
inference(avatar_split_clause,[],[f41768,f33045,f707,f524,f26278]) ).
cnf(s3,plain,
( spl0_5
| spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f135]) ).
cnf(s4,plain,
( spl0_6
| spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f139]) ).
cnf(s5,plain,
( spl0_1
| spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f153]) ).
cnf(s9,plain,
( ~ spl0_7
| spl0_11
| ~ spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f243]) ).
cnf(s10,plain,
( ~ spl0_12
| spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f247]) ).
cnf(s11,plain,
( spl0_13
| spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f254]) ).
cnf(s12,plain,
( spl0_1
| spl0_9
| spl0_12
| spl0_16 ),
inference(sat_conversion,[],[f266]) ).
cnf(s13,plain,
( ~ spl0_7
| spl0_12
| spl0_16 ),
inference(sat_conversion,[],[f272]) ).
cnf(s16,plain,
( ~ spl0_13
| spl0_21
| spl0_22 ),
inference(sat_conversion,[],[f311]) ).
cnf(s18,plain,
( spl0_4
| spl0_15
| ~ spl0_24 ),
inference(sat_conversion,[],[f352]) ).
cnf(s19,plain,
( spl0_19
| spl0_24 ),
inference(sat_conversion,[],[f358]) ).
cnf(s24,plain,
( spl0_1
| spl0_5
| ~ spl0_19
| ~ spl0_22 ),
inference(sat_conversion,[],[f516]) ).
cnf(s25,plain,
( ~ spl0_9
| spl0_16
| ~ spl0_22 ),
inference(sat_conversion,[],[f518]) ).
cnf(s26,plain,
( ~ spl0_11
| spl0_27
| ~ spl0_28 ),
inference(sat_conversion,[],[f526]) ).
cnf(s27,plain,
( ~ spl0_9
| ~ spl0_22
| ~ spl0_28 ),
inference(sat_conversion,[],[f527]) ).
cnf(s32,plain,
( spl0_1
| ~ spl0_14
| spl0_16
| spl0_32 ),
inference(sat_conversion,[],[f546]) ).
cnf(s33,plain,
( spl0_16
| spl0_28 ),
inference(sat_conversion,[],[f553]) ).
cnf(s37,plain,
( spl0_19
| spl0_37 ),
inference(sat_conversion,[],[f602]) ).
cnf(s42,plain,
( spl0_7
| spl0_9
| ~ spl0_39 ),
inference(sat_conversion,[],[f616]) ).
cnf(s43,plain,
( spl0_1
| spl0_39 ),
inference(sat_conversion,[],[f623]) ).
cnf(s45,plain,
( ~ spl0_14
| spl0_16
| spl0_40 ),
inference(sat_conversion,[],[f643]) ).
cnf(s46,plain,
( ~ spl0_1
| ~ spl0_12
| spl0_13
| ~ spl0_16 ),
inference(sat_conversion,[],[f644]) ).
cnf(s48,plain,
( ~ spl0_6
| spl0_12
| ~ spl0_19 ),
inference(sat_conversion,[],[f647]) ).
cnf(s60,plain,
~ spl0_18,
inference(sat_conversion,[],[f730]) ).
cnf(s63,plain,
( ~ spl0_16
| spl0_37 ),
inference(sat_conversion,[],[f765]) ).
cnf(s65,plain,
( ~ spl0_22
| spl0_45 ),
inference(sat_conversion,[],[f785]) ).
cnf(s68,plain,
( ~ spl0_1
| ~ spl0_20 ),
inference(sat_conversion,[],[f798]) ).
cnf(s69,plain,
( ~ spl0_16
| ~ spl0_20 ),
inference(sat_conversion,[],[f801]) ).
cnf(s83,plain,
( ~ spl0_1
| spl0_20
| ~ spl0_34
| ~ spl0_35
| spl0_51 ),
inference(sat_conversion,[],[f957]) ).
cnf(s88,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_34
| ~ spl0_36
| ~ spl0_49 ),
inference(sat_conversion,[],[f1049]) ).
cnf(s89,plain,
( ~ spl0_1
| ~ spl0_4
| spl0_21 ),
inference(sat_conversion,[],[f1056]) ).
cnf(s91,plain,
( ~ spl0_19
| spl0_36
| ~ spl0_49
| spl0_56 ),
inference(sat_conversion,[],[f1062]) ).
cnf(s93,plain,
( spl0_19
| ~ spl0_49 ),
inference(sat_conversion,[],[f1065]) ).
cnf(s96,plain,
( spl0_22
| ~ spl0_49 ),
inference(sat_conversion,[],[f1068]) ).
cnf(s97,plain,
( ~ spl0_22
| spl0_33
| ~ spl0_49
| spl0_53 ),
inference(sat_conversion,[],[f1071]) ).
cnf(s98,plain,
( ~ spl0_22
| spl0_33
| spl0_34
| ~ spl0_49 ),
inference(sat_conversion,[],[f1072]) ).
cnf(s101,plain,
( ~ spl0_8
| spl0_12
| ~ spl0_30 ),
inference(sat_conversion,[],[f1078]) ).
cnf(s102,plain,
( spl0_12
| ~ spl0_45
| spl0_58 ),
inference(sat_conversion,[],[f1082]) ).
cnf(s104,plain,
( spl0_8
| ~ spl0_21 ),
inference(sat_conversion,[],[f1088]) ).
cnf(s105,plain,
( ~ spl0_12
| ~ spl0_21 ),
inference(sat_conversion,[],[f1107]) ).
cnf(s106,plain,
( ~ spl0_19
| spl0_35
| spl0_36
| ~ spl0_49 ),
inference(sat_conversion,[],[f1109]) ).
cnf(s123,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_7
| spl0_68 ),
inference(sat_conversion,[],[f1545]) ).
cnf(s186,plain,
~ spl0_71,
inference(sat_conversion,[],[f2540]) ).
cnf(s439,plain,
( spl0_5
| spl0_8 ),
inference(sat_conversion,[],[f5112]) ).
cnf(s441,plain,
( ~ spl0_8
| spl0_80 ),
inference(sat_conversion,[],[f5118]) ).
cnf(s474,plain,
( spl0_63
| ~ spl0_81 ),
inference(sat_conversion,[],[f5314]) ).
cnf(s503,plain,
( ~ spl0_8
| ~ spl0_22
| ~ spl0_36 ),
inference(sat_conversion,[],[f5796]) ).
cnf(s509,plain,
( ~ spl0_3
| ~ spl0_53
| spl0_62 ),
inference(sat_conversion,[],[f5855]) ).
cnf(s561,plain,
( ~ spl0_3
| spl0_100 ),
inference(sat_conversion,[],[f6531]) ).
cnf(s563,plain,
( spl0_6
| ~ spl0_8
| ~ spl0_100
| spl0_126 ),
inference(sat_conversion,[],[f6618]) ).
cnf(s582,plain,
( spl0_17
| spl0_18
| ~ spl0_127 ),
inference(sat_conversion,[],[f6984]) ).
cnf(s588,plain,
( ~ spl0_3
| spl0_6
| ~ spl0_8
| spl0_141 ),
inference(sat_conversion,[],[f7040]) ).
cnf(s1072,plain,
( ~ spl0_1
| spl0_182 ),
inference(sat_conversion,[],[f11163]) ).
cnf(s1075,plain,
( ~ spl0_12
| spl0_186 ),
inference(sat_conversion,[],[f11170]) ).
cnf(s1078,plain,
( ~ spl0_1
| ~ spl0_186
| spl0_188 ),
inference(sat_conversion,[],[f11414]) ).
cnf(s1118,plain,
( spl0_8
| spl0_70
| ~ spl0_100 ),
inference(sat_conversion,[],[f11674]) ).
cnf(s1225,plain,
( ~ spl0_15
| spl0_16
| ~ spl0_236
| spl0_243
| spl0_244 ),
inference(sat_conversion,[],[f14317]) ).
cnf(s1236,plain,
( spl0_6
| ~ spl0_8
| ~ spl0_236
| spl0_251 ),
inference(sat_conversion,[],[f14441]) ).
cnf(s1239,plain,
( ~ spl0_19
| spl0_36
| ~ spl0_49
| ~ spl0_236 ),
inference(sat_conversion,[],[f14446]) ).
cnf(s1244,plain,
( ~ spl0_244
| spl0_251
| spl0_252 ),
inference(sat_conversion,[],[f14501]) ).
cnf(s1257,plain,
( ~ spl0_15
| spl0_227
| spl0_244 ),
inference(sat_conversion,[],[f14530]) ).
cnf(s1393,plain,
( spl0_244
| spl0_285 ),
inference(sat_conversion,[],[f16205]) ).
cnf(s1419,plain,
~ spl0_224,
inference(sat_conversion,[],[f16458]) ).
cnf(s1438,plain,
( ~ spl0_19
| ~ spl0_22
| ~ spl0_49
| spl0_224
| ~ spl0_252 ),
inference(sat_conversion,[],[f16546]) ).
cnf(s1798,plain,
( spl0_251
| spl0_369 ),
inference(sat_conversion,[],[f23584]) ).
cnf(s1805,plain,
( ~ spl0_3
| spl0_244
| spl0_248
| spl0_369 ),
inference(sat_conversion,[],[f23600]) ).
cnf(s1827,plain,
( ~ spl0_22
| spl0_251
| ~ spl0_375 ),
inference(sat_conversion,[],[f23758]) ).
cnf(s1842,plain,
( ~ spl0_3
| ~ spl0_22
| spl0_244
| spl0_248
| ~ spl0_375 ),
inference(sat_conversion,[],[f23782]) ).
cnf(s1850,plain,
( ~ spl0_19
| ~ spl0_22
| ~ spl0_80
| spl0_383 ),
inference(sat_conversion,[],[f24185]) ).
cnf(s1941,plain,
( spl0_224
| spl0_421
| spl0_422 ),
inference(sat_conversion,[],[f25844]) ).
cnf(s1942,plain,
( spl0_224
| spl0_423
| spl0_424 ),
inference(sat_conversion,[],[f25851]) ).
cnf(s1947,plain,
( spl0_224
| spl0_428
| spl0_429 ),
inference(sat_conversion,[],[f25873]) ).
cnf(s1948,plain,
( spl0_224
| spl0_430
| spl0_431 ),
inference(sat_conversion,[],[f25880]) ).
cnf(s1951,plain,
( ~ spl0_188
| spl0_224
| spl0_244
| spl0_423
| spl0_425 ),
inference(sat_conversion,[],[f25884]) ).
cnf(s1952,plain,
( ~ spl0_188
| spl0_224
| spl0_244
| spl0_422
| spl0_425 ),
inference(sat_conversion,[],[f25885]) ).
cnf(s2040,plain,
( spl0_425
| spl0_426 ),
inference(sat_conversion,[],[f26606]) ).
cnf(s2045,plain,
( spl0_20
| spl0_444
| ~ spl0_447 ),
inference(sat_conversion,[],[f26669]) ).
cnf(s2067,plain,
( ~ spl0_8
| ~ spl0_425
| spl0_462
| spl0_465 ),
inference(sat_conversion,[],[f26988]) ).
cnf(s2071,plain,
( ~ spl0_19
| ~ spl0_49
| ~ spl0_425
| spl0_466 ),
inference(sat_conversion,[],[f26997]) ).
cnf(s2095,plain,
( ~ spl0_369
| ~ spl0_422
| ~ spl0_462 ),
inference(sat_conversion,[],[f27166]) ).
cnf(s2125,plain,
( ~ spl0_49
| ~ spl0_422
| ~ spl0_466 ),
inference(sat_conversion,[],[f27405]) ).
cnf(s2135,plain,
( ~ spl0_22
| spl0_465
| ~ spl0_466 ),
inference(sat_conversion,[],[f27446]) ).
cnf(s2218,plain,
( ~ spl0_422
| ~ spl0_430
| spl0_499
| ~ spl0_500 ),
inference(sat_conversion,[],[f27880]) ).
cnf(s2241,plain,
( ~ spl0_49
| spl0_339
| spl0_375
| ~ spl0_422 ),
inference(sat_conversion,[],[f27919]) ).
cnf(s2326,plain,
~ spl0_248,
inference(sat_conversion,[],[f28358]) ).
cnf(s2387,plain,
( spl0_16
| ~ spl0_49
| spl0_59
| spl0_81 ),
inference(sat_conversion,[],[f28510]) ).
cnf(s2394,plain,
( spl0_16
| ~ spl0_45
| spl0_507 ),
inference(sat_conversion,[],[f28544]) ).
cnf(s2397,plain,
( ~ spl0_1
| spl0_8
| ~ spl0_182
| spl0_198 ),
inference(sat_conversion,[],[f28555]) ).
cnf(s2427,plain,
( ~ spl0_5
| spl0_186 ),
inference(sat_conversion,[],[f28686]) ).
cnf(s2429,plain,
( spl0_248
| spl0_559
| spl0_560 ),
inference(sat_conversion,[],[f28718]) ).
cnf(s2431,plain,
( spl0_43
| ~ spl0_182
| spl0_248
| spl0_562 ),
inference(sat_conversion,[],[f28727]) ).
cnf(s2432,plain,
( ~ spl0_182
| spl0_248
| spl0_369
| spl0_562 ),
inference(sat_conversion,[],[f28728]) ).
cnf(s2434,plain,
( spl0_248
| spl0_369
| spl0_563 ),
inference(sat_conversion,[],[f28733]) ).
cnf(s2435,plain,
( spl0_248
| spl0_500
| spl0_564 ),
inference(sat_conversion,[],[f28738]) ).
cnf(s2464,plain,
~ spl0_433,
inference(sat_conversion,[],[f29016]) ).
cnf(s2477,plain,
( ~ spl0_17
| spl0_231 ),
inference(sat_conversion,[],[f29054]) ).
cnf(s2499,plain,
~ spl0_339,
inference(sat_conversion,[],[f29258]) ).
cnf(s2511,plain,
( ~ spl0_1
| spl0_3
| ~ spl0_49
| ~ spl0_56
| ~ spl0_383 ),
inference(sat_conversion,[],[f29386]) ).
cnf(s2541,plain,
( ~ spl0_1
| ~ spl0_34
| ~ spl0_35
| spl0_567 ),
inference(sat_conversion,[],[f29822]) ).
cnf(s2584,plain,
( ~ spl0_564
| ~ spl0_567
| ~ spl0_569 ),
inference(sat_conversion,[],[f30716]) ).
cnf(s2594,plain,
( spl0_18
| ~ spl0_19
| spl0_36
| ~ spl0_39
| ~ spl0_49 ),
inference(sat_conversion,[],[f30935]) ).
cnf(s2617,plain,
( ~ spl0_22
| spl0_33
| ~ spl0_49
| spl0_224
| ~ spl0_369 ),
inference(sat_conversion,[],[f31301]) ).
cnf(s2621,plain,
( ~ spl0_19
| ~ spl0_49
| ~ spl0_51
| ~ spl0_500 ),
inference(sat_conversion,[],[f31383]) ).
cnf(s2625,plain,
( spl0_44
| spl0_236 ),
inference(sat_conversion,[],[f31394]) ).
cnf(s2629,plain,
( ~ spl0_1
| spl0_3
| ~ spl0_56
| spl0_61 ),
inference(sat_conversion,[],[f31413]) ).
cnf(s2633,plain,
( spl0_451
| spl0_582 ),
inference(sat_conversion,[],[f31428]) ).
cnf(s2636,plain,
( ~ spl0_227
| ~ spl0_423
| ~ spl0_440 ),
inference(sat_conversion,[],[f31449]) ).
cnf(s2660,plain,
( ~ spl0_68
| ~ spl0_182
| spl0_244
| ~ spl0_421
| spl0_425 ),
inference(sat_conversion,[],[f31513]) ).
cnf(s2661,plain,
( ~ spl0_19
| ~ spl0_466
| spl0_582 ),
inference(sat_conversion,[],[f31514]) ).
cnf(s2662,plain,
( ~ spl0_141
| ~ spl0_182
| spl0_244
| ~ spl0_421
| spl0_425
| spl0_433 ),
inference(sat_conversion,[],[f31516]) ).
cnf(s2675,plain,
( ~ spl0_431
| spl0_435
| spl0_444
| ~ spl0_582 ),
inference(sat_conversion,[],[f31540]) ).
cnf(s2697,plain,
( ~ spl0_182
| spl0_236
| ~ spl0_421
| ~ spl0_426
| ~ spl0_582 ),
inference(sat_conversion,[],[f31591]) ).
cnf(s2698,plain,
( spl0_1
| spl0_18
| ~ spl0_63 ),
inference(sat_conversion,[],[f31597]) ).
cnf(s2711,plain,
( ~ spl0_4
| ~ spl0_44
| ~ spl0_421 ),
inference(sat_conversion,[],[f31689]) ).
cnf(s2719,plain,
( spl0_544
| ~ spl0_597 ),
inference(sat_conversion,[],[f31762]) ).
cnf(s2722,plain,
( spl0_43
| spl0_248
| spl0_546 ),
inference(sat_conversion,[],[f31767]) ).
cnf(s2723,plain,
( ~ spl0_9
| ~ spl0_43
| ~ spl0_236 ),
inference(sat_conversion,[],[f31776]) ).
cnf(s2724,plain,
( ~ spl0_43
| spl0_46 ),
inference(sat_conversion,[],[f31777]) ).
cnf(s2733,plain,
~ spl0_446,
inference(sat_conversion,[],[f31891]) ).
cnf(s2736,plain,
( spl0_44
| ~ spl0_126
| spl0_224
| spl0_227
| spl0_248 ),
inference(sat_conversion,[],[f31910]) ).
cnf(s2746,plain,
( ~ spl0_36
| ~ spl0_49
| ~ spl0_62
| spl0_71 ),
inference(sat_conversion,[],[f32024]) ).
cnf(s2749,plain,
( ~ spl0_36
| ~ spl0_49
| ~ spl0_244 ),
inference(sat_conversion,[],[f32038]) ).
cnf(s2750,plain,
( spl0_425
| ~ spl0_597 ),
inference(sat_conversion,[],[f32039]) ).
cnf(s2753,plain,
( spl0_1
| ~ spl0_425
| ~ spl0_544
| spl0_583 ),
inference(sat_conversion,[],[f32045]) ).
cnf(s2755,plain,
( ~ spl0_4
| ~ spl0_582
| spl0_597 ),
inference(sat_conversion,[],[f32047]) ).
cnf(s2756,plain,
( ~ spl0_9
| ~ spl0_451
| ~ spl0_544 ),
inference(sat_conversion,[],[f32048]) ).
cnf(s2762,plain,
( ~ spl0_36
| ~ spl0_49
| ~ spl0_607 ),
inference(sat_conversion,[],[f32118]) ).
cnf(s2764,plain,
( spl0_43
| ~ spl0_607 ),
inference(sat_conversion,[],[f32120]) ).
cnf(s2765,plain,
( spl0_21
| spl0_43
| ~ spl0_438 ),
inference(sat_conversion,[],[f32134]) ).
cnf(s2766,plain,
( spl0_20
| ~ spl0_36
| ~ spl0_49
| ~ spl0_438 ),
inference(sat_conversion,[],[f32135]) ).
cnf(s2775,plain,
( ~ spl0_19
| ~ spl0_28
| spl0_30 ),
inference(sat_conversion,[],[f32161]) ).
cnf(s2780,plain,
( spl0_20
| ~ spl0_36
| ~ spl0_49
| ~ spl0_435 ),
inference(sat_conversion,[],[f32243]) ).
cnf(s2781,plain,
( ~ spl0_20
| spl0_70 ),
inference(sat_conversion,[],[f32246]) ).
cnf(s2787,plain,
( ~ spl0_423
| ~ spl0_430
| ~ spl0_499 ),
inference(sat_conversion,[],[f32388]) ).
cnf(s2790,plain,
( spl0_9
| ~ spl0_39
| ~ spl0_70
| spl0_97 ),
inference(sat_conversion,[],[f32437]) ).
cnf(s2795,plain,
( ~ spl0_46
| ~ spl0_236
| spl0_252 ),
inference(sat_conversion,[],[f32570]) ).
cnf(s2799,plain,
( ~ spl0_22
| ~ spl0_49
| spl0_466
| ~ spl0_544 ),
inference(sat_conversion,[],[f32601]) ).
cnf(s2801,plain,
( ~ spl0_369
| ~ spl0_499
| ~ spl0_608 ),
inference(sat_conversion,[],[f32603]) ).
cnf(s2804,plain,
( ~ spl0_97
| ~ spl0_421
| spl0_435 ),
inference(sat_conversion,[],[f32608]) ).
cnf(s2814,plain,
( ~ spl0_4
| ~ spl0_44
| spl0_607 ),
inference(sat_conversion,[],[f32645]) ).
cnf(s2816,plain,
( ~ spl0_44
| spl0_182 ),
inference(sat_conversion,[],[f32647]) ).
cnf(s2822,plain,
( ~ spl0_251
| spl0_563 ),
inference(sat_conversion,[],[f32704]) ).
cnf(s2824,plain,
( spl0_43
| spl0_563 ),
inference(sat_conversion,[],[f32731]) ).
cnf(s2829,plain,
( ~ spl0_17
| ~ spl0_39
| ~ spl0_59 ),
inference(sat_conversion,[],[f32754]) ).
cnf(s2836,plain,
( spl0_16
| ~ spl0_39
| ~ spl0_58 ),
inference(sat_conversion,[],[f32817]) ).
cnf(s2837,plain,
( ~ spl0_19
| ~ spl0_33
| ~ spl0_39 ),
inference(sat_conversion,[],[f32831]) ).
cnf(s2839,plain,
( ~ spl0_244
| ~ spl0_559
| spl0_601
| spl0_612 ),
inference(sat_conversion,[],[f32841]) ).
cnf(s2848,plain,
( ~ spl0_429
| ~ spl0_444
| ~ spl0_583 ),
inference(sat_conversion,[],[f32866]) ).
cnf(s2851,plain,
( spl0_224
| spl0_613
| spl0_619 ),
inference(sat_conversion,[],[f32879]) ).
cnf(s2857,plain,
( spl0_575
| spl0_601 ),
inference(sat_conversion,[],[f32902]) ).
cnf(s2858,plain,
( ~ spl0_429
| ~ spl0_440
| ~ spl0_455 ),
inference(sat_conversion,[],[f32903]) ).
cnf(s2862,plain,
( ~ spl0_59
| ~ spl0_227
| ~ spl0_236 ),
inference(sat_conversion,[],[f32946]) ).
cnf(s2864,plain,
( spl0_621
| spl0_622 ),
inference(sat_conversion,[],[f32958]) ).
cnf(s2871,plain,
( ~ spl0_27
| ~ spl0_28
| spl0_44
| ~ spl0_613 ),
inference(sat_conversion,[],[f33176]) ).
cnf(s2878,plain,
( ~ spl0_37
| ~ spl0_564
| ~ spl0_601
| spl0_607
| spl0_611 ),
inference(sat_conversion,[],[f33190]) ).
cnf(s2879,plain,
( ~ spl0_425
| ~ spl0_430
| ~ spl0_584 ),
inference(sat_conversion,[],[f33191]) ).
cnf(s2880,plain,
( ~ spl0_30
| ~ spl0_425
| ~ spl0_439 ),
inference(sat_conversion,[],[f33192]) ).
cnf(s2885,plain,
( spl0_439
| ~ spl0_597 ),
inference(sat_conversion,[],[f33216]) ).
cnf(s2893,plain,
( ~ spl0_424
| ~ spl0_597 ),
inference(sat_conversion,[],[f33274]) ).
cnf(s2901,plain,
( ~ spl0_4
| ~ spl0_16
| spl0_49 ),
inference(sat_conversion,[],[f33294]) ).
cnf(s2909,plain,
( spl0_613
| spl0_623 ),
inference(sat_conversion,[],[f33342]) ).
cnf(s2911,plain,
( spl0_224
| spl0_613
| spl0_623 ),
inference(sat_conversion,[],[f33344]) ).
cnf(s2920,plain,
( ~ spl0_22
| ~ spl0_439
| ~ spl0_543 ),
inference(sat_conversion,[],[f33464]) ).
cnf(s2921,plain,
( ~ spl0_39
| ~ spl0_425
| ~ spl0_543 ),
inference(sat_conversion,[],[f33466]) ).
cnf(s2923,plain,
( ~ spl0_425
| ~ spl0_439
| ~ spl0_507
| ~ spl0_544 ),
inference(sat_conversion,[],[f33500]) ).
cnf(s2927,plain,
( ~ spl0_13
| ~ spl0_424
| spl0_622 ),
inference(sat_conversion,[],[f33547]) ).
cnf(s2928,plain,
( ~ spl0_13
| spl0_248
| spl0_439
| spl0_622 ),
inference(sat_conversion,[],[f33548]) ).
cnf(s2930,plain,
( ~ spl0_13
| ~ spl0_564
| spl0_611 ),
inference(sat_conversion,[],[f33550]) ).
cnf(s2934,plain,
( ~ spl0_33
| ~ spl0_544
| ~ spl0_622 ),
inference(sat_conversion,[],[f33568]) ).
cnf(s2935,plain,
( ~ spl0_36
| ~ spl0_425
| ~ spl0_622 ),
inference(sat_conversion,[],[f33570]) ).
cnf(s2936,plain,
( ~ spl0_33
| ~ spl0_43
| ~ spl0_613 ),
inference(sat_conversion,[],[f33571]) ).
cnf(s2942,plain,
( ~ spl0_33
| ~ spl0_608
| ~ spl0_611 ),
inference(sat_conversion,[],[f33633]) ).
cnf(s2944,plain,
( ~ spl0_28
| ~ spl0_39
| ~ spl0_45
| ~ spl0_227
| ~ spl0_236 ),
inference(sat_conversion,[],[f33729]) ).
cnf(s2945,plain,
( ~ spl0_28
| ~ spl0_39
| spl0_44
| ~ spl0_45
| ~ spl0_227 ),
inference(sat_conversion,[],[f33733]) ).
cnf(s2947,plain,
( spl0_49
| spl0_227
| ~ spl0_438 ),
inference(sat_conversion,[],[f33737]) ).
cnf(s2950,plain,
( ~ spl0_13
| ~ spl0_569
| spl0_613 ),
inference(sat_conversion,[],[f33762]) ).
cnf(s2954,plain,
( ~ spl0_13
| spl0_43
| spl0_613 ),
inference(sat_conversion,[],[f33788]) ).
cnf(s2956,plain,
( ~ spl0_13
| spl0_248
| ~ spl0_375
| ~ spl0_423
| spl0_597 ),
inference(sat_conversion,[],[f33871]) ).
cnf(s2961,plain,
( ~ spl0_28
| ~ spl0_39
| ~ spl0_45
| ~ spl0_439
| ~ spl0_451 ),
inference(sat_conversion,[],[f34017]) ).
cnf(s2963,plain,
( ~ spl0_20
| ~ spl0_28
| ~ spl0_39
| ~ spl0_45
| ~ spl0_439 ),
inference(sat_conversion,[],[f34024]) ).
cnf(s2966,plain,
( ~ spl0_431
| spl0_435
| spl0_455
| ~ spl0_621 ),
inference(sat_conversion,[],[f34032]) ).
cnf(s2968,plain,
( ~ spl0_252
| ~ spl0_423
| ~ spl0_425
| ~ spl0_544 ),
inference(sat_conversion,[],[f34036]) ).
cnf(s2980,plain,
( spl0_227
| ~ spl0_607 ),
inference(sat_conversion,[],[f34071]) ).
cnf(s2981,plain,
( spl0_244
| ~ spl0_607 ),
inference(sat_conversion,[],[f34072]) ).
cnf(s2985,plain,
( ~ spl0_560
| ~ spl0_607 ),
inference(sat_conversion,[],[f34077]) ).
cnf(s2987,plain,
( ~ spl0_138
| ~ spl0_227
| ~ spl0_369 ),
inference(sat_conversion,[],[f34116]) ).
cnf(s2988,plain,
( ~ spl0_43
| ~ spl0_227
| ~ spl0_244
| ~ spl0_507 ),
inference(sat_conversion,[],[f34119]) ).
cnf(s2995,plain,
( spl0_6
| ~ spl0_8
| spl0_12
| ~ spl0_28 ),
inference(sat_conversion,[],[f34128]) ).
cnf(s2997,plain,
( ~ spl0_8
| spl0_16
| ~ spl0_138 ),
inference(sat_conversion,[],[f34130]) ).
cnf(s2999,plain,
( ~ spl0_244
| ~ spl0_422
| ~ spl0_451
| spl0_612 ),
inference(sat_conversion,[],[f34135]) ).
cnf(s3002,plain,
( ~ spl0_21
| ~ spl0_465 ),
inference(sat_conversion,[],[f34145]) ).
cnf(s3005,plain,
( ~ spl0_21
| spl0_127 ),
inference(sat_conversion,[],[f34150]) ).
cnf(s3006,plain,
( spl0_6
| ~ spl0_8
| ~ spl0_21
| ~ spl0_451 ),
inference(sat_conversion,[],[f34154]) ).
cnf(s3016,plain,
( ~ spl0_6
| ~ spl0_244
| ~ spl0_369 ),
inference(sat_conversion,[],[f34217]) ).
cnf(s3017,plain,
( ~ spl0_244
| ~ spl0_422
| ~ spl0_451
| spl0_612 ),
inference(sat_conversion,[],[f34219]) ).
cnf(s3021,plain,
( ~ spl0_569
| spl0_619 ),
inference(sat_conversion,[],[f34243]) ).
cnf(s3024,plain,
( ~ spl0_8
| ~ spl0_43
| ~ spl0_612 ),
inference(sat_conversion,[],[f34309]) ).
cnf(s3028,plain,
( ~ spl0_58
| ~ spl0_455
| ~ spl0_608 ),
inference(sat_conversion,[],[f34361]) ).
cnf(s3034,plain,
( ~ spl0_8
| spl0_44
| ~ spl0_368 ),
inference(sat_conversion,[],[f34401]) ).
cnf(s3036,plain,
( ~ spl0_21
| ~ spl0_251 ),
inference(sat_conversion,[],[f34406]) ).
cnf(s3038,plain,
( ~ spl0_251
| ~ spl0_424
| spl0_438
| spl0_544 ),
inference(sat_conversion,[],[f34409]) ).
cnf(s3046,plain,
( spl0_6
| ~ spl0_8
| spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f34418]) ).
cnf(s3062,plain,
( spl0_1
| ~ spl0_43
| ~ spl0_244
| spl0_612 ),
inference(sat_conversion,[],[f34496]) ).
cnf(s3071,plain,
( ~ spl0_39
| ~ spl0_244
| ~ spl0_609 ),
inference(sat_conversion,[],[f34598]) ).
cnf(s3072,plain,
( ~ spl0_422
| ~ spl0_544
| ~ spl0_609 ),
inference(sat_conversion,[],[f34601]) ).
cnf(s3074,plain,
( ~ spl0_43
| ~ spl0_500
| ~ spl0_610 ),
inference(sat_conversion,[],[f34638]) ).
cnf(s3081,plain,
( ~ spl0_4
| spl0_444
| ~ spl0_601 ),
inference(sat_conversion,[],[f34665]) ).
cnf(s3083,plain,
( ~ spl0_444
| ~ spl0_559
| ~ spl0_612 ),
inference(sat_conversion,[],[f34667]) ).
cnf(s3089,plain,
( spl0_1
| ~ spl0_43
| ~ spl0_80
| ~ spl0_244 ),
inference(sat_conversion,[],[f34772]) ).
cnf(s3091,plain,
( ~ spl0_231
| ~ spl0_455
| ~ spl0_608
| spl0_610 ),
inference(sat_conversion,[],[f34846]) ).
cnf(s3096,plain,
( ~ spl0_428
| spl0_447
| ~ spl0_465
| ~ spl0_545 ),
inference(sat_conversion,[],[f34879]) ).
cnf(s3097,plain,
( ~ spl0_20
| ~ spl0_44 ),
inference(sat_conversion,[],[f34884]) ).
cnf(s3100,plain,
( ~ spl0_422
| ~ spl0_425
| ~ spl0_612 ),
inference(sat_conversion,[],[f34887]) ).
cnf(s3101,plain,
( ~ spl0_37
| ~ spl0_428
| ~ spl0_582
| spl0_622
| spl0_624 ),
inference(sat_conversion,[],[f34892]) ).
cnf(s3102,plain,
( ~ spl0_27
| ~ spl0_236
| ~ spl0_422
| spl0_582 ),
inference(sat_conversion,[],[f34893]) ).
cnf(s3115,plain,
( ~ spl0_9
| ~ spl0_575
| ~ spl0_608 ),
inference(sat_conversion,[],[f34998]) ).
cnf(s3117,plain,
( spl0_608
| ~ spl0_624 ),
inference(sat_conversion,[],[f35017]) ).
cnf(s3118,plain,
( spl0_444
| ~ spl0_624 ),
inference(sat_conversion,[],[f35019]) ).
cnf(s3122,plain,
( ~ spl0_70
| spl0_236 ),
inference(sat_conversion,[],[f35112]) ).
cnf(s3123,plain,
( ~ spl0_28
| ~ spl0_430
| ~ spl0_439
| ~ spl0_451
| ~ spl0_575 ),
inference(sat_conversion,[],[f35300]) ).
cnf(s3125,plain,
( spl0_44
| ~ spl0_244
| spl0_255 ),
inference(sat_conversion,[],[f35307]) ).
cnf(s3127,plain,
( ~ spl0_28
| ~ spl0_227
| ~ spl0_236
| ~ spl0_423
| ~ spl0_451 ),
inference(sat_conversion,[],[f35313]) ).
cnf(s3128,plain,
( ~ spl0_39
| spl0_44
| ~ spl0_46
| spl0_251 ),
inference(sat_conversion,[],[f35314]) ).
cnf(s3132,plain,
( ~ spl0_28
| ~ spl0_227
| ~ spl0_236
| ~ spl0_423
| spl0_582 ),
inference(sat_conversion,[],[f35319]) ).
cnf(s3133,plain,
( ~ spl0_12
| spl0_13
| spl0_439
| ~ spl0_465 ),
inference(sat_conversion,[],[f35320]) ).
cnf(s3137,plain,
( ~ spl0_236
| ~ spl0_244
| spl0_255 ),
inference(sat_conversion,[],[f35347]) ).
cnf(s3142,plain,
( ~ spl0_3
| ~ spl0_465
| spl0_597 ),
inference(sat_conversion,[],[f35383]) ).
cnf(s3155,plain,
( ~ spl0_243
| ~ spl0_423
| ~ spl0_451 ),
inference(sat_conversion,[],[f35481]) ).
cnf(s3156,plain,
( ~ spl0_39
| ~ spl0_243
| spl0_251 ),
inference(sat_conversion,[],[f35482]) ).
cnf(s3157,plain,
( ~ spl0_32
| ~ spl0_425
| ~ spl0_429
| ~ spl0_444 ),
inference(sat_conversion,[],[f35484]) ).
cnf(s3160,plain,
( ~ spl0_20
| ~ spl0_582 ),
inference(sat_conversion,[],[f35488]) ).
cnf(s3161,plain,
( spl0_368
| ~ spl0_369
| ~ spl0_422
| ~ spl0_626 ),
inference(sat_conversion,[],[f35489]) ).
cnf(s3162,plain,
( ~ spl0_429
| spl0_543
| ~ spl0_544
| spl0_545 ),
inference(sat_conversion,[],[f35490]) ).
cnf(s3163,plain,
( spl0_368
| ~ spl0_369
| ~ spl0_422
| spl0_465 ),
inference(sat_conversion,[],[f35491]) ).
cnf(s3177,plain,
( ~ spl0_255
| ~ spl0_423
| ~ spl0_425 ),
inference(sat_conversion,[],[f35607]) ).
cnf(s3178,plain,
( ~ spl0_368
| ~ spl0_423
| ~ spl0_626 ),
inference(sat_conversion,[],[f35619]) ).
cnf(s3179,plain,
( ~ spl0_70
| spl0_451 ),
inference(sat_conversion,[],[f35654]) ).
cnf(s3180,plain,
( ~ spl0_243
| ~ spl0_500
| ~ spl0_575 ),
inference(sat_conversion,[],[f35678]) ).
cnf(s3182,plain,
( ~ spl0_423
| ~ spl0_425
| ~ spl0_439
| ~ spl0_625 ),
inference(sat_conversion,[],[f35724]) ).
cnf(s3183,plain,
( spl0_6
| ~ spl0_8
| spl0_582
| ~ spl0_626 ),
inference(sat_conversion,[],[f35725]) ).
cnf(s3186,plain,
( ~ spl0_8
| ~ spl0_544
| ~ spl0_583 ),
inference(sat_conversion,[],[f35728]) ).
cnf(s3187,plain,
( ~ spl0_236
| spl0_243
| ~ spl0_422
| spl0_582 ),
inference(sat_conversion,[],[f35731]) ).
cnf(s3188,plain,
( ~ spl0_8
| ~ spl0_32
| ~ spl0_425
| ~ spl0_544 ),
inference(sat_conversion,[],[f35732]) ).
cnf(s3197,plain,
( ~ spl0_236
| spl0_243
| ~ spl0_422
| ~ spl0_451 ),
inference(sat_conversion,[],[f35777]) ).
cnf(s3205,plain,
( spl0_375
| ~ spl0_422
| ~ spl0_613
| ~ spl0_622 ),
inference(sat_conversion,[],[f35848]) ).
cnf(s3207,plain,
( ~ spl0_28
| ~ spl0_243
| ~ spl0_613 ),
inference(sat_conversion,[],[f35879]) ).
cnf(s3209,plain,
( spl0_43
| ~ spl0_97
| ~ spl0_421
| spl0_435 ),
inference(sat_conversion,[],[f35901]) ).
cnf(s3212,plain,
( ~ spl0_424
| ~ spl0_435
| spl0_607 ),
inference(sat_conversion,[],[f35945]) ).
cnf(s3213,plain,
( spl0_49
| ~ spl0_435
| spl0_439 ),
inference(sat_conversion,[],[f35946]) ).
cnf(s3214,plain,
( ~ spl0_13
| spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f35949]) ).
cnf(s3215,plain,
( spl0_43
| ~ spl0_421
| spl0_435
| ~ spl0_465 ),
inference(sat_conversion,[],[f35952]) ).
cnf(s3216,plain,
( ~ spl0_19
| spl0_36
| spl0_582
| ~ spl0_622 ),
inference(sat_conversion,[],[f35953]) ).
cnf(s3217,plain,
( ~ spl0_19
| ~ spl0_22
| spl0_36
| ~ spl0_39 ),
inference(sat_conversion,[],[f35954]) ).
cnf(s3218,plain,
( ~ spl0_19
| spl0_36
| ~ spl0_575
| ~ spl0_611 ),
inference(sat_conversion,[],[f35956]) ).
cnf(s3219,plain,
( ~ spl0_19
| ~ spl0_455
| ~ spl0_584 ),
inference(sat_conversion,[],[f35957]) ).
cnf(s3223,plain,
( spl0_1
| ~ spl0_19
| ~ spl0_22
| spl0_36 ),
inference(sat_conversion,[],[f35961]) ).
cnf(s3233,plain,
( ~ spl0_19
| ~ spl0_22
| ~ spl0_252
| ~ spl0_613 ),
inference(sat_conversion,[],[f36082]) ).
cnf(s3234,plain,
( ~ spl0_424
| spl0_438
| spl0_439
| ~ spl0_623 ),
inference(sat_conversion,[],[f36083]) ).
cnf(s3235,plain,
( ~ spl0_36
| ~ spl0_444
| ~ spl0_611 ),
inference(sat_conversion,[],[f36084]) ).
cnf(s3238,plain,
( ~ spl0_19
| ~ spl0_439
| ~ spl0_583 ),
inference(sat_conversion,[],[f36123]) ).
cnf(s3241,plain,
( ~ spl0_252
| ~ spl0_444
| ~ spl0_500
| ~ spl0_608 ),
inference(sat_conversion,[],[f36162]) ).
cnf(s3242,plain,
( ~ spl0_30
| ~ spl0_444
| ~ spl0_455 ),
inference(sat_conversion,[],[f36178]) ).
cnf(s3244,plain,
( ~ spl0_447
| ~ spl0_564
| spl0_607 ),
inference(sat_conversion,[],[f36216]) ).
cnf(s3245,plain,
( spl0_49
| ~ spl0_447
| ~ spl0_570 ),
inference(sat_conversion,[],[f36217]) ).
cnf(s3246,plain,
( ~ spl0_431
| ~ spl0_447
| spl0_597 ),
inference(sat_conversion,[],[f36218]) ).
cnf(s3249,plain,
( ~ spl0_8
| ~ spl0_584
| ~ spl0_608 ),
inference(sat_conversion,[],[f36224]) ).
cnf(s3254,plain,
( spl0_43
| spl0_447
| ~ spl0_545
| ~ spl0_560 ),
inference(sat_conversion,[],[f36231]) ).
cnf(s3255,plain,
( spl0_1
| ~ spl0_444
| spl0_584
| ~ spl0_608 ),
inference(sat_conversion,[],[f36232]) ).
cnf(s3272,plain,
( ~ spl0_421
| ~ spl0_438
| spl0_597 ),
inference(sat_conversion,[],[f36357]) ).
cnf(s3274,plain,
( spl0_20
| spl0_244
| ~ spl0_438 ),
inference(sat_conversion,[],[f36360]) ).
cnf(s3280,plain,
( ~ spl0_8
| ~ spl0_17
| ~ spl0_369
| ~ spl0_625 ),
inference(sat_conversion,[],[f36493]) ).
cnf(s3281,plain,
( ~ spl0_8
| ~ spl0_17
| ~ spl0_21
| ~ spl0_625 ),
inference(sat_conversion,[],[f36495]) ).
cnf(s3286,plain,
( spl0_446
| spl0_611
| spl0_627 ),
inference(sat_conversion,[],[f36525]) ).
cnf(s3288,plain,
( ~ spl0_27
| ~ spl0_28
| spl0_582
| ~ spl0_622 ),
inference(sat_conversion,[],[f36582]) ).
cnf(s3298,plain,
( ~ spl0_17
| spl0_138
| ~ spl0_622
| ~ spl0_626 ),
inference(sat_conversion,[],[f36801]) ).
cnf(s3299,plain,
( ~ spl0_28
| spl0_59
| ~ spl0_451
| ~ spl0_622 ),
inference(sat_conversion,[],[f36802]) ).
cnf(s3301,plain,
( ~ spl0_28
| spl0_59
| spl0_582
| ~ spl0_622 ),
inference(sat_conversion,[],[f36806]) ).
cnf(s3302,plain,
( ~ spl0_17
| ~ spl0_21
| spl0_138
| ~ spl0_622 ),
inference(sat_conversion,[],[f36807]) ).
cnf(s3303,plain,
( ~ spl0_421
| spl0_435
| ~ spl0_619
| ~ spl0_621 ),
inference(sat_conversion,[],[f36808]) ).
cnf(s3305,plain,
( spl0_20
| spl0_425
| ~ spl0_435 ),
inference(sat_conversion,[],[f36835]) ).
cnf(s3310,plain,
( spl0_9
| ~ spl0_39
| ~ spl0_236
| ~ spl0_369 ),
inference(sat_conversion,[],[f36843]) ).
cnf(s3312,plain,
( spl0_9
| spl0_16
| ~ spl0_39
| ~ spl0_231 ),
inference(sat_conversion,[],[f36849]) ).
cnf(s3313,plain,
( spl0_9
| ~ spl0_39
| spl0_582
| ~ spl0_626 ),
inference(sat_conversion,[],[f36850]) ).
cnf(s3315,plain,
( spl0_9
| ~ spl0_39
| spl0_44
| ~ spl0_369 ),
inference(sat_conversion,[],[f36852]) ).
cnf(s3317,plain,
( ~ spl0_39
| ~ spl0_80
| spl0_628 ),
inference(sat_conversion,[],[f36862]) ).
cnf(s3320,plain,
( ~ spl0_429
| ~ spl0_439
| spl0_440
| ~ spl0_611 ),
inference(sat_conversion,[],[f36983]) ).
cnf(s3325,plain,
( ~ spl0_17
| ~ spl0_439
| spl0_462
| ~ spl0_626 ),
inference(sat_conversion,[],[f37012]) ).
cnf(s3326,plain,
( ~ spl0_17
| ~ spl0_21
| ~ spl0_439
| spl0_462 ),
inference(sat_conversion,[],[f37015]) ).
cnf(s3327,plain,
( ~ spl0_28
| ~ spl0_39
| ~ spl0_439
| ~ spl0_451
| ~ spl0_626 ),
inference(sat_conversion,[],[f37032]) ).
cnf(s3329,plain,
( spl0_227
| ~ spl0_421
| spl0_435
| ~ spl0_621 ),
inference(sat_conversion,[],[f37037]) ).
cnf(s3332,plain,
( spl0_13
| ~ spl0_421
| spl0_439
| ~ spl0_569 ),
inference(sat_conversion,[],[f37047]) ).
cnf(s3337,plain,
( spl0_32
| ~ spl0_40
| ~ spl0_628 ),
inference(sat_conversion,[],[f37053]) ).
cnf(s3338,plain,
( spl0_3
| spl0_43
| ~ spl0_421
| spl0_544 ),
inference(sat_conversion,[],[f37054]) ).
cnf(s3339,plain,
( ~ spl0_431
| spl0_435
| ~ spl0_465
| spl0_608 ),
inference(sat_conversion,[],[f37055]) ).
cnf(s3340,plain,
( spl0_3
| spl0_22
| spl0_43
| spl0_227 ),
inference(sat_conversion,[],[f37056]) ).
cnf(s3347,plain,
( spl0_227
| spl0_569 ),
inference(sat_conversion,[],[f37096]) ).
cnf(s3359,plain,
~ spl0_449,
inference(sat_conversion,[],[f37210]) ).
cnf(s3363,plain,
( ~ spl0_28
| spl0_59
| ~ spl0_236
| ~ spl0_613 ),
inference(sat_conversion,[],[f37377]) ).
cnf(s3365,plain,
( spl0_454
| ~ spl0_455
| ~ spl0_500
| ~ spl0_613 ),
inference(sat_conversion,[],[f37380]) ).
cnf(s3366,plain,
( ~ spl0_17
| spl0_138
| ~ spl0_369
| ~ spl0_613 ),
inference(sat_conversion,[],[f37382]) ).
cnf(s3367,plain,
( ~ spl0_28
| spl0_44
| spl0_59
| ~ spl0_613 ),
inference(sat_conversion,[],[f37384]) ).
cnf(s3368,plain,
( ~ spl0_17
| spl0_138
| spl0_251
| ~ spl0_613 ),
inference(sat_conversion,[],[f37385]) ).
cnf(s3370,plain,
( ~ spl0_429
| ~ spl0_543
| ~ spl0_608 ),
inference(sat_conversion,[],[f37387]) ).
cnf(s3371,plain,
( ~ spl0_37
| spl0_49
| spl0_248
| spl0_439
| ~ spl0_582
| spl0_622 ),
inference(sat_conversion,[],[f37388]) ).
cnf(s3372,plain,
( ~ spl0_3
| spl0_8
| spl0_20 ),
inference(sat_conversion,[],[f37389]) ).
cnf(s3373,plain,
( ~ spl0_8
| ~ spl0_462
| spl0_582 ),
inference(sat_conversion,[],[f37391]) ).
cnf(s3374,plain,
( spl0_4
| ~ spl0_24
| spl0_248
| spl0_425
| spl0_439 ),
inference(sat_conversion,[],[f37392]) ).
cnf(s3375,plain,
( spl0_21
| ~ spl0_37
| spl0_43
| ~ spl0_44
| spl0_613 ),
inference(sat_conversion,[],[f37393]) ).
cnf(s3376,plain,
( ~ spl0_6
| ~ spl0_425
| ~ spl0_626 ),
inference(sat_conversion,[],[f37395]) ).
cnf(s3385,plain,
( ~ spl0_6
| ~ spl0_244
| spl0_251 ),
inference(sat_conversion,[],[f37422]) ).
cnf(s3387,plain,
( ~ spl0_3
| ~ spl0_251
| spl0_607 ),
inference(sat_conversion,[],[f37437]) ).
cnf(s3403,plain,
( ~ spl0_37
| ~ spl0_44
| spl0_49
| ~ spl0_569
| spl0_613 ),
inference(sat_conversion,[],[f37506]) ).
cnf(s3405,plain,
( ~ spl0_19
| ~ spl0_22
| ~ spl0_628 ),
inference(sat_conversion,[],[f37508]) ).
cnf(s3420,plain,
( spl0_21
| ~ spl0_37
| spl0_544
| ~ spl0_582
| spl0_622 ),
inference(sat_conversion,[],[f37590]) ).
cnf(s3421,plain,
( ~ spl0_39
| ~ spl0_444
| ~ spl0_610 ),
inference(sat_conversion,[],[f37596]) ).
cnf(s3422,plain,
( spl0_339
| spl0_621
| spl0_622 ),
inference(sat_conversion,[],[f37617]) ).
cnf(s3425,plain,
( ~ spl0_17
| ~ spl0_462
| ~ spl0_622 ),
inference(sat_conversion,[],[f37630]) ).
cnf(s3427,plain,
( ~ spl0_22
| spl0_33
| spl0_465
| ~ spl0_622 ),
inference(sat_conversion,[],[f37635]) ).
cnf(s3430,plain,
( spl0_8
| ~ spl0_44
| ~ spl0_251
| spl0_438 ),
inference(sat_conversion,[],[f37640]) ).
cnf(s3440,plain,
( ~ spl0_36
| ~ spl0_244
| ~ spl0_613 ),
inference(sat_conversion,[],[f37699]) ).
cnf(s3446,plain,
( spl0_13
| ~ spl0_16
| spl0_236
| ~ spl0_569 ),
inference(sat_conversion,[],[f37718]) ).
cnf(s3458,plain,
( spl0_3
| spl0_22
| spl0_439
| spl0_544 ),
inference(sat_conversion,[],[f37799]) ).
cnf(s3459,plain,
( ~ spl0_19
| ~ spl0_255
| ~ spl0_613 ),
inference(sat_conversion,[],[f37833]) ).
cnf(s3460,plain,
( ~ spl0_43
| ~ spl0_422
| spl0_609
| ~ spl0_626 ),
inference(sat_conversion,[],[f37846]) ).
cnf(s3464,plain,
( ~ spl0_559
| ~ spl0_608
| ~ spl0_609 ),
inference(sat_conversion,[],[f37890]) ).
cnf(s3471,plain,
( spl0_13
| ~ spl0_16
| spl0_244
| ~ spl0_569 ),
inference(sat_conversion,[],[f37933]) ).
cnf(s3474,plain,
( ~ spl0_19
| spl0_36
| spl0_601
| ~ spl0_611 ),
inference(sat_conversion,[],[f37937]) ).
cnf(s3476,plain,
( ~ spl0_22
| spl0_33
| spl0_545
| ~ spl0_611 ),
inference(sat_conversion,[],[f37939]) ).
cnf(s3489,plain,
( spl0_8
| spl0_435
| ~ spl0_465
| ~ spl0_582 ),
inference(sat_conversion,[],[f38020]) ).
cnf(s3493,plain,
( ~ spl0_61
| spl0_544 ),
inference(sat_conversion,[],[f38041]) ).
cnf(s3507,plain,
( spl0_3
| spl0_22
| spl0_455
| spl0_608 ),
inference(sat_conversion,[],[f38157]) ).
cnf(s3510,plain,
( ~ spl0_44
| ~ spl0_424
| spl0_425
| spl0_438 ),
inference(sat_conversion,[],[f38178]) ).
cnf(s3518,plain,
( spl0_438
| spl0_455
| ~ spl0_564
| ~ spl0_623 ),
inference(sat_conversion,[],[f38249]) ).
cnf(s3521,plain,
( ~ spl0_1
| spl0_3
| spl0_425
| spl0_544 ),
inference(sat_conversion,[],[f38255]) ).
cnf(s3522,plain,
( ~ spl0_1
| spl0_3
| spl0_451
| spl0_544 ),
inference(sat_conversion,[],[f38256]) ).
cnf(s3524,plain,
( ~ spl0_44
| spl0_438
| ~ spl0_564
| spl0_575 ),
inference(sat_conversion,[],[f38258]) ).
cnf(s3528,plain,
( spl0_12
| spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f38276]) ).
cnf(s3530,plain,
( spl0_18
| spl0_22
| spl0_23 ),
inference(sat_conversion,[],[f38281]) ).
cnf(s3543,plain,
( spl0_433
| spl0_455
| spl0_570 ),
inference(sat_conversion,[],[f38402]) ).
cnf(s3545,plain,
( spl0_13
| ~ spl0_16
| ~ spl0_570
| spl0_575 ),
inference(sat_conversion,[],[f38428]) ).
cnf(s3546,plain,
( spl0_13
| ~ spl0_16
| spl0_444
| ~ spl0_570 ),
inference(sat_conversion,[],[f38429]) ).
cnf(s3547,plain,
( ~ spl0_19
| spl0_36
| spl0_44
| ~ spl0_613 ),
inference(sat_conversion,[],[f38431]) ).
cnf(s3548,plain,
( ~ spl0_58
| ~ spl0_439
| ~ spl0_544 ),
inference(sat_conversion,[],[f38432]) ).
cnf(s3550,plain,
( spl0_12
| ~ spl0_439
| spl0_543
| ~ spl0_544 ),
inference(sat_conversion,[],[f38434]) ).
cnf(s3551,plain,
( ~ spl0_1
| spl0_3
| spl0_43
| spl0_244 ),
inference(sat_conversion,[],[f38436]) ).
cnf(s3554,plain,
( spl0_39
| spl0_447
| ~ spl0_545
| ~ spl0_601 ),
inference(sat_conversion,[],[f38439]) ).
cnf(s3556,plain,
( spl0_16
| ~ spl0_425
| ~ spl0_439
| spl0_583 ),
inference(sat_conversion,[],[f38441]) ).
cnf(s3557,plain,
( spl0_3
| ~ spl0_23
| spl0_43
| spl0_227 ),
inference(sat_conversion,[],[f38442]) ).
cnf(s3558,plain,
( ~ spl0_12
| spl0_19
| spl0_227
| ~ spl0_562 ),
inference(sat_conversion,[],[f38443]) ).
cnf(s3559,plain,
( ~ spl0_1
| spl0_3
| spl0_43
| spl0_236 ),
inference(sat_conversion,[],[f38444]) ).
cnf(s3561,plain,
( spl0_251
| ~ spl0_423
| spl0_543
| ~ spl0_544 ),
inference(sat_conversion,[],[f38446]) ).
cnf(s3562,plain,
( ~ spl0_244
| ~ spl0_422
| spl0_582
| spl0_612 ),
inference(sat_conversion,[],[f38447]) ).
cnf(s3563,plain,
( spl0_39
| spl0_435
| ~ spl0_465
| ~ spl0_582 ),
inference(sat_conversion,[],[f38448]) ).
cnf(s3584,plain,
( spl0_425
| ~ spl0_428
| spl0_447
| ~ spl0_601 ),
inference(sat_conversion,[],[f38636]) ).
cnf(s3588,plain,
( ~ spl0_227
| ~ spl0_454
| ~ spl0_500 ),
inference(sat_conversion,[],[f38696]) ).
cnf(s3597,plain,
( spl0_3
| spl0_22
| spl0_43
| ~ spl0_619 ),
inference(sat_conversion,[],[f38862]) ).
cnf(s3598,plain,
( spl0_4
| ~ spl0_24
| spl0_244
| ~ spl0_619 ),
inference(sat_conversion,[],[f38864]) ).
cnf(s3601,plain,
( ~ spl0_19
| ~ spl0_32
| ~ spl0_444
| ~ spl0_455 ),
inference(sat_conversion,[],[f38866]) ).
cnf(s3610,plain,
( ~ spl0_423
| ~ spl0_439
| spl0_440
| ~ spl0_613 ),
inference(sat_conversion,[],[f39063]) ).
cnf(s3612,plain,
( ~ spl0_44
| spl0_438
| spl0_444
| ~ spl0_564 ),
inference(sat_conversion,[],[f39065]) ).
cnf(s3613,plain,
( ~ spl0_251
| spl0_438
| ~ spl0_564
| spl0_608 ),
inference(sat_conversion,[],[f39066]) ).
cnf(s3617,plain,
( ~ spl0_251
| spl0_438
| ~ spl0_545
| ~ spl0_564 ),
inference(sat_conversion,[],[f39070]) ).
cnf(s3620,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_12
| spl0_19 ),
inference(sat_conversion,[],[f39073]) ).
cnf(s3621,plain,
( spl0_4
| ~ spl0_5
| spl0_244
| ~ spl0_563 ),
inference(sat_conversion,[],[f39074]) ).
cnf(s3622,plain,
( spl0_8
| ~ spl0_12
| spl0_13
| ~ spl0_16 ),
inference(sat_conversion,[],[f39075]) ).
cnf(s3634,plain,
( ~ spl0_30
| ~ spl0_227
| ~ spl0_244 ),
inference(sat_conversion,[],[f39166]) ).
cnf(s3635,plain,
( ~ spl0_12
| spl0_13
| spl0_227
| ~ spl0_563 ),
inference(sat_conversion,[],[f39167]) ).
cnf(s3651,plain,
( spl0_18
| spl0_227
| spl0_569 ),
inference(sat_conversion,[],[f39239]) ).
cnf(s3654,plain,
( spl0_13
| ~ spl0_16
| spl0_244
| ~ spl0_569 ),
inference(sat_conversion,[],[f39265]) ).
cnf(s3659,plain,
( ~ spl0_138
| ~ spl0_439
| ~ spl0_626 ),
inference(sat_conversion,[],[f39334]) ).
cnf(s3669,plain,
( ~ spl0_19
| ~ spl0_227
| spl0_625 ),
inference(sat_conversion,[],[f39529]) ).
cnf(s3672,plain,
( spl0_1
| ~ spl0_80
| spl0_628 ),
inference(sat_conversion,[],[f39533]) ).
cnf(s3676,plain,
( spl0_12
| ~ spl0_19
| spl0_507 ),
inference(sat_conversion,[],[f39542]) ).
cnf(s3679,plain,
( spl0_244
| ~ spl0_421
| spl0_435
| ~ spl0_582 ),
inference(sat_conversion,[],[f39545]) ).
cnf(s3680,plain,
( spl0_6
| ~ spl0_8
| spl0_582
| ~ spl0_626 ),
inference(sat_conversion,[],[f39546]) ).
cnf(s3681,plain,
( spl0_6
| ~ spl0_8
| spl0_44
| ~ spl0_369 ),
inference(sat_conversion,[],[f39547]) ).
cnf(s3688,plain,
( ~ spl0_3
| ~ spl0_12
| spl0_49 ),
inference(sat_conversion,[],[f39602]) ).
cnf(s3691,plain,
( spl0_6
| ~ spl0_8
| spl0_601
| ~ spl0_629 ),
inference(sat_conversion,[],[f39607]) ).
cnf(s3692,plain,
( ~ spl0_22
| ~ spl0_80
| spl0_507 ),
inference(sat_conversion,[],[f39614]) ).
cnf(s3698,plain,
( ~ spl0_6
| ~ spl0_444
| ~ spl0_629 ),
inference(sat_conversion,[],[f39651]) ).
cnf(s3699,plain,
( spl0_12
| ~ spl0_455
| ~ spl0_608
| spl0_610 ),
inference(sat_conversion,[],[f39652]) ).
cnf(s3710,plain,
( spl0_236
| ~ spl0_421
| spl0_435
| ~ spl0_582 ),
inference(sat_conversion,[],[f39791]) ).
cnf(s3712,plain,
( spl0_12
| ~ spl0_43
| ~ spl0_227
| spl0_609 ),
inference(sat_conversion,[],[f39840]) ).
cnf(s3713,plain,
( ~ spl0_1
| spl0_3
| spl0_444
| spl0_608 ),
inference(sat_conversion,[],[f39841]) ).
cnf(s3716,plain,
( spl0_21
| ~ spl0_435
| spl0_544 ),
inference(sat_conversion,[],[f39845]) ).
cnf(s3727,plain,
( ~ spl0_421
| ~ spl0_607 ),
inference(sat_conversion,[],[f39897]) ).
cnf(s3730,plain,
( ~ spl0_1
| spl0_3
| spl0_19
| spl0_22 ),
inference(sat_conversion,[],[f39898]) ).
cnf(s3731,plain,
( ~ spl0_1
| spl0_3
| ~ spl0_16
| spl0_22 ),
inference(sat_conversion,[],[f39899]) ).
cnf(s3733,plain,
( ~ spl0_1
| spl0_3
| spl0_575
| spl0_608 ),
inference(sat_conversion,[],[f39901]) ).
cnf(s3738,plain,
( spl0_18
| spl0_22
| ~ spl0_614 ),
inference(sat_conversion,[],[f39933]) ).
cnf(s3753,plain,
( spl0_447
| ~ spl0_545
| ~ spl0_560
| ~ spl0_563 ),
inference(sat_conversion,[],[f40045]) ).
cnf(s3755,plain,
( ~ spl0_43
| ~ spl0_423
| ~ spl0_543 ),
inference(sat_conversion,[],[f40084]) ).
cnf(s3758,plain,
( ~ spl0_19
| ~ spl0_430
| ~ spl0_439
| ~ spl0_444
| ~ spl0_455 ),
inference(sat_conversion,[],[f40170]) ).
cnf(s3759,plain,
( ~ spl0_43
| ~ spl0_422
| spl0_465
| spl0_609 ),
inference(sat_conversion,[],[f40172]) ).
cnf(s3764,plain,
( ~ spl0_1
| spl0_3
| spl0_22
| spl0_28 ),
inference(sat_conversion,[],[f40220]) ).
cnf(s3765,plain,
( spl0_16
| ~ spl0_444
| ~ spl0_455
| spl0_584 ),
inference(sat_conversion,[],[f40221]) ).
cnf(s3766,plain,
( spl0_16
| ~ spl0_19
| spl0_30 ),
inference(sat_conversion,[],[f40224]) ).
cnf(s3767,plain,
( ~ spl0_444
| ~ spl0_455
| ~ spl0_500
| ~ spl0_625 ),
inference(sat_conversion,[],[f40225]) ).
cnf(s3771,plain,
( spl0_9
| ~ spl0_39
| ~ spl0_451
| spl0_465 ),
inference(sat_conversion,[],[f40257]) ).
cnf(s3779,plain,
( ~ spl0_431
| spl0_435
| ~ spl0_465
| ~ spl0_545 ),
inference(sat_conversion,[],[f40466]) ).
cnf(s3780,plain,
( ~ spl0_1
| spl0_3
| ~ spl0_601
| spl0_608 ),
inference(sat_conversion,[],[f40468]) ).
cnf(s3782,plain,
( spl0_251
| ~ spl0_500
| ~ spl0_608
| spl0_610 ),
inference(sat_conversion,[],[f40471]) ).
cnf(s3783,plain,
( spl0_4
| ~ spl0_5
| spl0_425
| ~ spl0_465 ),
inference(sat_conversion,[],[f40472]) ).
cnf(s3785,plain,
( spl0_6
| ~ spl0_8
| ~ spl0_451
| spl0_465 ),
inference(sat_conversion,[],[f40475]) ).
cnf(s3793,plain,
( spl0_433
| spl0_465
| spl0_626 ),
inference(sat_conversion,[],[f40536]) ).
cnf(s3796,plain,
( ~ spl0_198
| spl0_425
| spl0_544 ),
inference(sat_conversion,[],[f40577]) ).
cnf(s3797,plain,
( ~ spl0_59
| ~ spl0_455
| ~ spl0_575 ),
inference(sat_conversion,[],[f40597]) ).
cnf(s3798,plain,
( ~ spl0_59
| ~ spl0_439
| ~ spl0_451 ),
inference(sat_conversion,[],[f40599]) ).
cnf(s3799,plain,
( spl0_449
| spl0_545
| spl0_629 ),
inference(sat_conversion,[],[f40606]) ).
cnf(s3802,plain,
( spl0_447
| ~ spl0_560
| ~ spl0_619
| ~ spl0_627 ),
inference(sat_conversion,[],[f40677]) ).
cnf(s3808,plain,
( spl0_4
| ~ spl0_285
| spl0_444
| ~ spl0_560 ),
inference(sat_conversion,[],[f40865]) ).
cnf(s3809,plain,
( spl0_4
| ~ spl0_426
| ~ spl0_428
| spl0_444 ),
inference(sat_conversion,[],[f40943]) ).
cnf(s3810,plain,
( spl0_3
| ~ spl0_428
| spl0_544
| spl0_608 ),
inference(sat_conversion,[],[f40944]) ).
cnf(s3813,plain,
( ~ spl0_12
| spl0_13
| spl0_455
| spl0_608 ),
inference(sat_conversion,[],[f40965]) ).
cnf(s3814,plain,
( spl0_3
| ~ spl0_23
| spl0_455
| spl0_608 ),
inference(sat_conversion,[],[f40967]) ).
cnf(s3815,plain,
( ~ spl0_425
| ~ spl0_429
| ~ spl0_575
| spl0_583 ),
inference(sat_conversion,[],[f40968]) ).
cnf(s3816,plain,
( ~ spl0_425
| ~ spl0_429
| spl0_583
| spl0_601 ),
inference(sat_conversion,[],[f40970]) ).
cnf(s3817,plain,
( spl0_3
| ~ spl0_23
| spl0_439
| spl0_544 ),
inference(sat_conversion,[],[f40971]) ).
cnf(s3818,plain,
( ~ spl0_22
| ~ spl0_227
| ~ spl0_609 ),
inference(sat_conversion,[],[f40972]) ).
cnf(s3819,plain,
( ~ spl0_12
| spl0_13
| spl0_439
| spl0_544 ),
inference(sat_conversion,[],[f40973]) ).
cnf(s3821,plain,
( spl0_6
| ~ spl0_8
| spl0_545
| ~ spl0_575 ),
inference(sat_conversion,[],[f40975]) ).
cnf(s3823,plain,
( ~ spl0_39
| ~ spl0_46
| ~ spl0_236
| ~ spl0_500
| spl0_601 ),
inference(sat_conversion,[],[f40977]) ).
cnf(s3826,plain,
( ~ spl0_244
| ~ spl0_559
| ~ spl0_575
| spl0_612 ),
inference(sat_conversion,[],[f40980]) ).
cnf(s3827,plain,
( spl0_44
| ~ spl0_444
| ~ spl0_500
| spl0_584 ),
inference(sat_conversion,[],[f40981]) ).
cnf(s3828,plain,
( ~ spl0_43
| spl0_545
| ~ spl0_559
| spl0_609 ),
inference(sat_conversion,[],[f40982]) ).
cnf(s3831,plain,
( ~ spl0_46
| ~ spl0_423
| ~ spl0_429
| ~ spl0_500
| ~ spl0_544 ),
inference(sat_conversion,[],[f40986]) ).
cnf(s3832,plain,
( spl0_44
| ~ spl0_46
| spl0_252 ),
inference(sat_conversion,[],[f40987]) ).
cnf(s3833,plain,
( ~ spl0_227
| ~ spl0_423
| ~ spl0_429
| ~ spl0_439
| ~ spl0_500 ),
inference(sat_conversion,[],[f40988]) ).
cnf(s3834,plain,
( spl0_16
| ~ spl0_227
| ~ spl0_244
| spl0_612 ),
inference(sat_conversion,[],[f40989]) ).
cnf(s3835,plain,
( spl0_39
| ~ spl0_44
| ~ spl0_251
| spl0_438 ),
inference(sat_conversion,[],[f40990]) ).
cnf(s3836,plain,
( ~ spl0_429
| spl0_543
| ~ spl0_544
| spl0_545 ),
inference(sat_conversion,[],[f40991]) ).
cnf(s3837,plain,
( spl0_9
| ~ spl0_39
| spl0_545
| ~ spl0_575 ),
inference(sat_conversion,[],[f40992]) ).
cnf(s3838,plain,
( spl0_44
| ~ spl0_227
| spl0_625 ),
inference(sat_conversion,[],[f40993]) ).
cnf(s3843,plain,
( ~ spl0_16
| spl0_188
| spl0_614 ),
inference(sat_conversion,[],[f41012]) ).
cnf(s3858,plain,
( ~ spl0_430
| ~ spl0_544
| ~ spl0_610 ),
inference(sat_conversion,[],[f41246]) ).
cnf(s3859,plain,
( ~ spl0_22
| ~ spl0_455
| ~ spl0_610 ),
inference(sat_conversion,[],[f41248]) ).
cnf(s3865,plain,
( ~ spl0_12
| ~ spl0_251
| spl0_438
| ~ spl0_623 ),
inference(sat_conversion,[],[f41305]) ).
cnf(s3866,plain,
( ~ spl0_97
| spl0_251 ),
inference(sat_conversion,[],[f41307]) ).
cnf(s3869,plain,
( ~ spl0_430
| spl0_465
| ~ spl0_608
| spl0_610 ),
inference(sat_conversion,[],[f41313]) ).
cnf(s3870,plain,
( ~ spl0_8
| spl0_251
| ~ spl0_255 ),
inference(sat_conversion,[],[f41315]) ).
cnf(s3871,plain,
( spl0_9
| ~ spl0_39
| ~ spl0_236
| spl0_251 ),
inference(sat_conversion,[],[f41316]) ).
cnf(s3886,plain,
( ~ spl0_45
| ~ spl0_429
| ~ spl0_439
| ~ spl0_455
| ~ spl0_544 ),
inference(sat_conversion,[],[f41544]) ).
cnf(s3887,plain,
( ~ spl0_22
| spl0_33
| spl0_251
| ~ spl0_613 ),
inference(sat_conversion,[],[f41545]) ).
cnf(s3891,plain,
( spl0_3
| spl0_43
| ~ spl0_424
| spl0_544 ),
inference(sat_conversion,[],[f41693]) ).
cnf(s3893,plain,
( ~ spl0_44
| ~ spl0_424
| spl0_438
| spl0_451 ),
inference(sat_conversion,[],[f41695]) ).
cnf(s3896,plain,
( spl0_3
| ~ spl0_424
| spl0_544
| ~ spl0_546 ),
inference(sat_conversion,[],[f41698]) ).
cnf(s3897,plain,
( ~ spl0_44
| ~ spl0_424
| spl0_438
| ~ spl0_582 ),
inference(sat_conversion,[],[f41699]) ).
cnf(s3908,plain,
( ~ spl0_16
| ~ spl0_44
| spl0_438
| ~ spl0_623 ),
inference(sat_conversion,[],[f41769]) ).
cnf(s3909,plain,
( spl0_28
| ~ spl0_44
| spl0_438
| ~ spl0_623 ),
inference(sat_conversion,[],[f41770]) ).
cnf(s3920,plain,
( ~ spl0_49
| spl0_375
| ~ spl0_422 ),
inference(rat,[],[s2241,s2499]) ).
cnf(s4071,plain,
( ~ spl0_3
| ~ spl0_22
| spl0_244
| ~ spl0_375 ),
inference(rat,[],[s1842,s2326]) ).
cnf(s4086,plain,
( ~ spl0_3
| spl0_244
| spl0_369 ),
inference(rat,[],[s1805,s2326]) ).
cnf(s4214,plain,
( ~ spl0_422
| spl0_375
| ~ spl0_613
| spl0_243
| ~ spl0_236
| spl0_21
| spl0_49
| ~ spl0_22
| ~ spl0_37
| spl0_12 ),
inference(rat,[],[s2920,s3550,s3420,s3371,s3187,s3205,s2326]) ).
cnf(s4215,plain,
( ~ spl0_421
| ~ spl0_569
| spl0_43
| ~ spl0_58
| spl0_13
| spl0_3 ),
inference(rat,[],[s3548,s3332,s3338]) ).
cnf(s4216,plain,
( ~ spl0_570
| ~ spl0_244
| ~ spl0_563
| spl0_49
| spl0_13
| ~ spl0_16
| spl0_6
| ~ spl0_8 ),
inference(rat,[],[s3826,s3083,s2429,s3753,s3821,s3545,s3245,s3546,s2326]) ).
cnf(s4217,plain,
( ~ spl0_439
| ~ spl0_613
| spl0_608
| ~ spl0_455
| ~ spl0_546
| ~ spl0_58
| spl0_3 ),
inference(rat,[],[s1947,s3810,s2858,s3610,s1942,s3896,s3548,s1419]) ).
cnf(s4220,plain,
( ~ spl0_544
| ~ spl0_58
| ~ spl0_24
| ~ spl0_8
| spl0_4
| spl0_1 ),
inference(rat,[],[s3374,s2753,s3548,s3186,s2326]) ).
cnf(s4224,plain,
( ~ spl0_608
| ~ spl0_444
| ~ spl0_8
| spl0_1 ),
inference(rat,[],[s3255,s3249]) ).
cnf(s4225,plain,
( ~ spl0_570
| ~ spl0_613
| ~ spl0_423
| ~ spl0_563
| spl0_544
| ~ spl0_24
| spl0_49
| spl0_13
| ~ spl0_16
| spl0_6
| ~ spl0_8
| spl0_4
| spl0_3
| spl0_1 ),
inference(rat,[],[s3815,s2848,s1947,s3810,s4224,s3374,s3610,s2636,s1257,s4216,s3545,s3546,s11,s1419,s2326]) ).
cnf(s4227,plain,
( ~ spl0_43
| ~ spl0_22
| ~ spl0_15
| spl0_12
| ~ spl0_80
| spl0_1 ),
inference(rat,[],[s3712,s3818,s1257,s3089]) ).
cnf(s4228,plain,
( ~ spl0_570
| ~ spl0_423
| ~ spl0_563
| spl0_544
| ~ spl0_24
| spl0_49
| spl0_13
| ~ spl0_16
| spl0_6
| ~ spl0_8
| spl0_4
| spl0_3
| spl0_1 ),
inference(rat,[],[s2851,s3598,s4225,s4216,s1419]) ).
cnf(s4229,plain,
( ~ spl0_236
| ~ spl0_244
| spl0_462
| spl0_438
| spl0_435
| spl0_608
| ~ spl0_422
| ~ spl0_423
| ~ spl0_24
| ~ spl0_17
| spl0_6
| ~ spl0_8
| spl0_4 ),
inference(rat,[],[s2218,s2787,s1948,s3339,s3793,s3325,s3374,s2435,s3177,s3613,s3137,s1236,s1419,s2464,s2326]) ).
cnf(s4230,plain,
( spl0_236
| ~ spl0_622
| spl0_21
| spl0_608
| ~ spl0_455
| ~ spl0_422
| spl0_43
| ~ spl0_22
| spl0_13
| ~ spl0_16 ),
inference(rat,[],[s3588,s3365,s2435,s3613,s1827,s3205,s3347,s3375,s3446,s2625,s63,s2765,s2326]) ).
cnf(s4231,plain,
( ~ spl0_622
| spl0_435
| spl0_21
| spl0_608
| ~ spl0_455
| ~ spl0_422
| ~ spl0_423
| spl0_43
| ~ spl0_24
| ~ spl0_22
| spl0_13
| ~ spl0_16
| ~ spl0_17
| spl0_6
| ~ spl0_8
| spl0_4 ),
inference(rat,[],[s3588,s3365,s2851,s2435,s1257,s3598,s3613,s4229,s1236,s4230,s3425,s11,s2765,s1419,s2326]) ).
cnf(s4232,plain,
( spl0_21
| spl0_608
| ~ spl0_455
| spl0_43
| spl0_544
| ~ spl0_58
| ~ spl0_24
| ~ spl0_22
| spl0_13
| ~ spl0_16
| ~ spl0_17
| spl0_6
| ~ spl0_8
| spl0_4
| spl0_3 ),
inference(rat,[],[s3815,s2848,s3524,s3612,s3374,s2435,s4217,s2218,s2787,s3375,s1948,s2625,s3339,s3187,s3785,s3155,s2633,s3420,s4231,s2765,s3716,s63,s2722,s1942,s3891,s1941,s3338,s1947,s3810,s2326,s1419]) ).
cnf(s4233,plain,
( ~ spl0_22
| spl0_13
| ~ spl0_16
| spl0_12
| spl0_6
| ~ spl0_8
| spl0_4
| spl0_3
| spl0_1 ),
inference(rat,[],[s3178,s3163,s3793,s1798,s3002,s3036,s4232,s3699,s3859,s3543,s4228,s1941,s1942,s2824,s3338,s3891,s4227,s4220,s102,s19,s93,s65,s3405,s3672,s441,s3528,s11,s2464,s1419,s60]) ).
cnf(s4234,plain,
( spl0_455
| ~ spl0_23
| spl0_13
| ~ spl0_16
| ~ spl0_8
| spl0_3
| spl0_1 ),
inference(rat,[],[s3255,s3249,s3546,s3814,s3543,s2464]) ).
cnf(s4235,plain,
( spl0_544
| spl0_43
| spl0_22
| spl0_3 ),
inference(rat,[],[s2636,s3610,s1942,s3458,s3891,s3557,s3530,s2851,s3597,s1419,s60]) ).
cnf(s4237,plain,
( ~ spl0_500
| ~ spl0_613
| ~ spl0_227
| ~ spl0_455 ),
inference(rat,[],[s3588,s3365]) ).
cnf(s4239,plain,
( spl0_251
| ~ spl0_613
| ~ spl0_227
| ~ spl0_17 ),
inference(rat,[],[s2987,s3368,s1798]) ).
cnf(s4240,plain,
( spl0_43
| ~ spl0_455
| spl0_22
| ~ spl0_17
| ~ spl0_8
| spl0_4
| spl0_3
| spl0_1 ),
inference(rat,[],[s3370,s3836,s1947,s3809,s4224,s3613,s3617,s2765,s3036,s4239,s2435,s4237,s2040,s2753,s3186,s4235,s2851,s3557,s3597,s3530,s1419,s2326,s60]) ).
cnf(s4241,plain,
( ~ spl0_500
| ~ spl0_429
| ~ spl0_439
| spl0_544
| ~ spl0_227
| spl0_438
| ~ spl0_46
| ~ spl0_455
| ~ spl0_16
| ~ spl0_39 ),
inference(rat,[],[s3128,s3908,s3038,s2911,s1942,s4237,s3833,s1419]) ).
cnf(s4242,plain,
( spl0_251
| ~ spl0_227
| spl0_438
| ~ spl0_46
| spl0_28
| ~ spl0_17
| ~ spl0_39 ),
inference(rat,[],[s3909,s2911,s3128,s4239,s1419]) ).
cnf(s4243,plain,
( spl0_544
| ~ spl0_500
| spl0_608
| ~ spl0_227
| spl0_438
| ~ spl0_46
| ~ spl0_455
| spl0_22
| ~ spl0_16
| spl0_3
| ~ spl0_39 ),
inference(rat,[],[s1947,s4241,s3810,s3458,s1419]) ).
cnf(s4244,plain,
( ~ spl0_544
| ~ spl0_609
| spl0_244
| ~ spl0_188
| ~ spl0_8
| spl0_1 ),
inference(rat,[],[s1952,s2753,s3072,s3186,s1419]) ).
cnf(s4245,plain,
( spl0_608
| spl0_544
| ~ spl0_251
| ~ spl0_227
| spl0_438
| ~ spl0_46
| ~ spl0_455
| spl0_22
| ~ spl0_16
| spl0_3
| ~ spl0_39 ),
inference(rat,[],[s2435,s4243,s3613,s2326]) ).
cnf(s4246,plain,
( spl0_13
| ~ spl0_16
| spl0_12
| spl0_6
| ~ spl0_8
| spl0_4
| spl0_3
| spl0_1 ),
inference(rat,[],[s2429,s3808,s3464,s4224,s4245,s4244,s4242,s3712,s1257,s3274,s1393,s2724,s3089,s4240,s4234,s3843,s3530,s3738,s4233,s11,s43,s441,s3528,s2995,s69,s2326,s60]) ).
cnf(s4247,plain,
( spl0_12
| spl0_9
| spl0_6
| ~ spl0_8
| spl0_4
| spl0_3
| spl0_1 ),
inference(rat,[],[s3817,s3561,s3659,s3755,s3368,s1942,s2950,s3897,s3340,s2947,s3651,s3681,s3669,s2633,s3793,s1798,s3281,s3006,s3002,s3036,s16,s96,s3530,s3405,s3214,s4246,s69,s12,s3528,s3672,s441,s1419,s60,s2464]) ).
cnf(s4248,plain,
( ~ spl0_13
| spl0_21
| spl0_9
| ~ spl0_628
| ~ spl0_39 ),
inference(rat,[],[s3187,s1941,s3207,s2804,s2950,s3213,s3651,s2961,s2945,s33,s2790,s2625,s2633,s69,s2781,s3097,s3160,s3214,s93,s65,s3405,s16,s1419,s60]) ).
cnf(s4249,plain,
( spl0_544
| spl0_608
| spl0_43
| ~ spl0_37
| spl0_13
| ~ spl0_12
| spl0_6
| ~ spl0_8
| spl0_3 ),
inference(rat,[],[s1798,s3681,s3613,s3375,s2435,s3610,s3833,s2636,s1947,s1942,s3810,s3819,s3891,s2765,s105,s3635,s2824,s2326,s1419]) ).
cnf(s4250,plain,
( ~ spl0_251
| ~ spl0_455
| spl0_608
| ~ spl0_227
| spl0_438
| ~ spl0_12 ),
inference(rat,[],[s4237,s2435,s2909,s3613,s3865,s2326]) ).
cnf(s4251,plain,
( spl0_608
| spl0_43
| ~ spl0_22
| spl0_9
| spl0_6
| ~ spl0_8
| spl0_4
| spl0_3
| spl0_1 ),
inference(rat,[],[s3510,s1942,s3681,s3561,s1798,s4250,s2920,s3374,s2753,s3186,s4249,s3813,s37,s19,s3405,s2765,s3635,s2824,s4248,s105,s4247,s3672,s441,s43,s1419,s2326]) ).
cnf(s4252,plain,
( ~ spl0_251
| ~ spl0_455
| ~ spl0_608
| ~ spl0_227
| spl0_438
| spl0_607
| ~ spl0_37
| ~ spl0_22
| ~ spl0_12
| spl0_6
| ~ spl0_8 ),
inference(rat,[],[s3476,s2942,s2878,s3691,s3799,s3617,s2435,s4237,s2909,s3865,s3359,s2326]) ).
cnf(s4253,plain,
( ~ spl0_455
| spl0_444
| ~ spl0_608
| ~ spl0_227
| spl0_438
| spl0_607
| ~ spl0_37
| ~ spl0_22
| ~ spl0_12
| spl0_6
| ~ spl0_8 ),
inference(rat,[],[s3612,s2435,s3681,s3782,s1798,s4252,s3859,s2326]) ).
cnf(s4254,plain,
( spl0_544
| ~ spl0_613
| spl0_43
| spl0_13
| ~ spl0_12
| spl0_3 ),
inference(rat,[],[s2636,s3610,s1942,s3819,s3891,s3635,s2824,s1419]) ).
cnf(s4255,plain,
( spl0_43
| ~ spl0_22
| spl0_9
| spl0_6
| ~ spl0_8
| spl0_4
| spl0_3
| spl0_1 ),
inference(rat,[],[s3833,s1947,s1942,s3809,s3510,s3374,s2040,s3188,s4254,s2435,s3612,s3375,s2945,s32,s33,s3546,s3543,s4253,s4224,s4251,s3635,s2765,s2764,s2824,s10,s4248,s105,s43,s4247,s65,s37,s19,s3405,s3672,s441,s1419,s2326,s2464]) ).
cnf(s4256,plain,
( ~ spl0_20
| ~ spl0_227
| ~ spl0_45
| ~ spl0_39 ),
inference(rat,[],[s33,s2945,s69,s3097]) ).
cnf(s4257,plain,
( spl0_608
| spl0_438
| ~ spl0_251
| ~ spl0_227
| spl0_13
| ~ spl0_12 ),
inference(rat,[],[s4250,s3813]) ).
cnf(s4258,plain,
( spl0_544
| spl0_438
| ~ spl0_251
| ~ spl0_613
| ~ spl0_227
| spl0_13
| ~ spl0_12 ),
inference(rat,[],[s3610,s2636,s1942,s3819,s3038,s1419]) ).
cnf(s4259,plain,
( ~ spl0_22
| spl0_9
| spl0_6
| ~ spl0_8
| spl0_4
| spl0_3
| spl0_1 ),
inference(rat,[],[s3833,s1947,s1942,s3809,s3510,s3374,s2040,s3188,s4258,s2435,s2945,s3617,s32,s33,s3828,s3546,s2429,s3543,s3808,s4252,s4224,s4257,s3274,s4256,s3887,s2936,s2851,s3818,s3598,s1257,s1393,s2981,s3089,s4255,s18,s19,s37,s65,s3405,s10,s4248,s105,s3672,s441,s43,s4247,s1419,s2326,s2464]) ).
cnf(s4260,plain,
( spl0_608
| spl0_425
| ~ spl0_613
| spl0_438
| ~ spl0_227
| spl0_607
| ~ spl0_563
| spl0_22
| spl0_13
| ~ spl0_12
| spl0_6
| ~ spl0_8
| spl0_4
| spl0_3 ),
inference(rat,[],[s1952,s3163,s3843,s3178,s3766,s3793,s19,s3826,s3133,s3374,s3083,s3610,s2429,s2636,s3753,s1942,s3242,s3821,s3510,s3612,s3524,s3244,s3681,s2435,s1798,s4237,s4257,s3507,s3738,s1419,s2464,s2326,s60]) ).
cnf(s4261,plain,
( ~ spl0_500
| ~ spl0_429
| ~ spl0_608
| ~ spl0_613
| spl0_438
| ~ spl0_544
| ~ spl0_227
| ~ spl0_23
| spl0_13
| ~ spl0_12
| spl0_6
| ~ spl0_8
| spl0_3
| spl0_1 ),
inference(rat,[],[s3858,s3869,s1948,s2675,s3680,s3793,s3133,s3833,s1942,s3305,s3510,s3097,s2871,s26,s33,s4234,s4237,s9,s4,s2753,s3186,s4224,s1419,s2464]) ).
cnf(s4262,plain,
( spl0_43
| spl0_9
| spl0_6
| ~ spl0_8
| spl0_4
| spl0_3
| spl0_1 ),
inference(rat,[],[s2625,s1236,s3612,s3617,s2435,s4261,s3162,s3370,s1947,s3809,s4224,s4260,s2040,s2753,s3186,s2851,s2765,s4235,s3340,s3597,s2764,s2824,s4248,s105,s4247,s3672,s441,s43,s3530,s4259,s2326,s1419,s60]) ).
cnf(s4264,plain,
( ~ spl0_544
| ~ spl0_44
| ~ spl0_32
| spl0_251
| spl0_438
| ~ spl0_43
| ~ spl0_8 ),
inference(rat,[],[s3561,s3755,s1942,s3510,s3188,s1419]) ).
cnf(s4265,plain,
( ~ spl0_582
| ~ spl0_500
| spl0_444
| ~ spl0_423
| spl0_435
| spl0_244 ),
inference(rat,[],[s2218,s2787,s1948,s1941,s2675,s3679,s1419]) ).
cnf(s4266,plain,
( spl0_608
| ~ spl0_423
| spl0_435
| ~ spl0_27
| ~ spl0_19
| ~ spl0_44
| ~ spl0_32
| ~ spl0_28
| spl0_227
| spl0_244
| spl0_22
| spl0_6
| ~ spl0_8
| spl0_3 ),
inference(rat,[],[s2218,s2787,s1941,s1948,s3329,s3339,s2864,s3785,s3288,s2633,s4265,s2435,s3612,s3601,s3507,s2947,s96,s1419,s2326]) ).
cnf(s4267,plain,
( spl0_227
| spl0_9
| spl0_6
| ~ spl0_8
| spl0_4
| spl0_3
| spl0_1 ),
inference(rat,[],[s3782,s3074,s2435,s3612,s4224,s4266,s1942,s3510,s3556,s3238,s3716,s3458,s4264,s26,s19,s3128,s32,s33,s18,s2822,s3654,s1257,s3635,s2947,s3651,s9,s4,s10,s4248,s105,s3672,s43,s4247,s96,s4259,s3089,s441,s2724,s4262,s2326,s1419,s60]) ).
cnf(s4268,plain,
( ~ spl0_16
| spl0_544
| ~ spl0_44
| spl0_608
| spl0_438
| ~ spl0_227
| ~ spl0_46
| spl0_244
| spl0_22
| spl0_3
| ~ spl0_39 ),
inference(rat,[],[s3816,s1951,s2848,s3610,s2878,s3612,s2909,s2435,s3908,s4243,s3843,s63,s3738,s2981,s3320,s3458,s2858,s1947,s3810,s3507,s1419,s2326,s60]) ).
cnf(s4269,plain,
( ~ spl0_500
| spl0_16
| ~ spl0_429
| ~ spl0_439
| ~ spl0_44
| ~ spl0_455
| spl0_438
| ~ spl0_227
| spl0_244
| spl0_4 ),
inference(rat,[],[s3766,s2880,s19,s3510,s3598,s1942,s2851,s3833,s4237,s1419]) ).
cnf(s4270,plain,
( spl0_544
| ~ spl0_44
| spl0_608
| spl0_438
| ~ spl0_227
| ~ spl0_46
| spl0_244
| spl0_22
| ~ spl0_14
| spl0_4
| spl0_3
| spl0_1 ),
inference(rat,[],[s2851,s3610,s3598,s1942,s19,s3510,s3601,s3157,s3612,s2435,s4269,s32,s4268,s2858,s1947,s3810,s3458,s43,s3507,s1419,s2326]) ).
cnf(s4271,plain,
( spl0_608
| spl0_438
| ~ spl0_227
| ~ spl0_43
| spl0_22
| spl0_13
| ~ spl0_12
| ~ spl0_8
| spl0_4
| spl0_3
| spl0_1 ),
inference(rat,[],[s3561,s3755,s1942,s3510,s2753,s3186,s4270,s3128,s4257,s43,s10,s3089,s441,s2724,s1419]) ).
cnf(s4272,plain,
( ~ spl0_251
| spl0_438
| spl0_9
| spl0_6
| ~ spl0_8
| spl0_4
| spl0_3
| spl0_1 ),
inference(rat,[],[s3809,s2040,s1947,s2753,s4261,s3186,s4258,s2435,s2909,s3617,s3865,s3530,s3828,s3464,s2429,s3808,s4224,s4271,s4267,s4259,s4248,s105,s3672,s43,s4247,s1393,s3089,s4262,s441,s1419,s2326,s60]) ).
cnf(s4273,plain,
( spl0_438
| spl0_9
| spl0_6
| ~ spl0_8
| spl0_4
| spl0_3
| spl0_1 ),
inference(rat,[],[s3782,s3074,s2435,s3612,s3128,s4272,s4224,s4271,s4248,s105,s4247,s3672,s441,s43,s4259,s2724,s4262,s4267,s2326]) ).
cnf(s4274,plain,
( spl0_9
| spl0_6
| ~ spl0_8
| spl0_4
| spl0_3
| spl0_1 ),
inference(rat,[],[s2804,s1941,s3212,s3102,s1942,s26,s3132,s33,s2790,s2625,s69,s2781,s3097,s3160,s3274,s4273,s4267,s2981,s3089,s4262,s9,s4248,s105,s4247,s43,s3672,s441,s4,s1419]) ).
cnf(s4275,plain,
( spl0_12
| spl0_6
| ~ spl0_8
| spl0_4
| spl0_3
| spl0_1 ),
inference(rat,[],[s3458,s3561,s3659,s3755,s3368,s1942,s2950,s3893,s3340,s2947,s3651,s3681,s3669,s3793,s1798,s3281,s3006,s3002,s3036,s16,s96,s3405,s3214,s4246,s69,s13,s3528,s3672,s441,s4,s1419,s60,s2464]) ).
cnf(s4276,plain,
( ~ spl0_251
| ~ spl0_37
| ~ spl0_22
| spl0_13
| spl0_43
| ~ spl0_12
| ~ spl0_9
| spl0_6
| ~ spl0_8 ),
inference(rat,[],[s3545,s3543,s3115,s4252,s4257,s2764,s2765,s105,s3635,s2824,s25,s2464]) ).
cnf(s4277,plain,
( ~ spl0_22
| spl0_13
| spl0_43
| ~ spl0_12
| ~ spl0_9
| spl0_6
| ~ spl0_628
| ~ spl0_8
| spl0_3 ),
inference(rat,[],[s2636,s3610,s1942,s3371,s3893,s2633,s2934,s2756,s3887,s4254,s3375,s3681,s1798,s4276,s37,s93,s3405,s2765,s105,s3635,s2824,s1419,s2326]) ).
cnf(s4278,plain,
( spl0_13
| spl0_43
| spl0_6
| ~ spl0_8
| spl0_4
| spl0_3
| spl0_1 ),
inference(rat,[],[s2625,s1236,s3612,s3617,s2435,s4261,s3162,s3370,s1947,s3809,s4224,s4260,s2040,s2753,s3186,s2851,s4235,s3597,s3530,s4277,s3635,s3672,s441,s4274,s2824,s2764,s2765,s105,s4275,s2326,s1419,s60]) ).
cnf(s4279,plain,
( ~ spl0_13
| spl0_21
| ~ spl0_9
| ~ spl0_628 ),
inference(rat,[],[s69,s3214,s25,s3405,s16]) ).
cnf(s4280,plain,
( ~ spl0_22
| spl0_244
| ~ spl0_43
| ~ spl0_12
| ~ spl0_9
| spl0_6
| ~ spl0_628
| ~ spl0_8 ),
inference(rat,[],[s3545,s3543,s3115,s4252,s4257,s3887,s2936,s1257,s2909,s11,s3909,s37,s25,s27,s3405,s4279,s105,s2981,s2625,s3274,s2781,s3122,s2723,s2464]) ).
cnf(s4281,plain,
( spl0_227
| spl0_6
| ~ spl0_8
| spl0_4
| spl0_3
| spl0_1 ),
inference(rat,[],[s3782,s3074,s2435,s3524,s3115,s4266,s1942,s3510,s2880,s3716,s3458,s3766,s4264,s26,s19,s32,s33,s18,s2822,s3654,s1257,s3635,s3651,s9,s4,s10,s2625,s3274,s2781,s3122,s2723,s4280,s3089,s4278,s4279,s105,s4275,s4274,s3672,s441,s2326,s1419,s60]) ).
cnf(s4282,plain,
( spl0_6
| ~ spl0_8
| spl0_4
| spl0_3
| spl0_1 ),
inference(rat,[],[s3584,s1947,s2753,s4261,s3186,s4258,s2909,s3865,s3782,s3074,s2435,s2045,s3524,s2857,s4224,s3115,s4271,s4281,s3530,s4280,s3274,s2781,s2625,s3122,s2723,s3089,s4278,s4279,s105,s4275,s4274,s3672,s441,s1419,s2326,s60]) ).
cnf(s4283,plain,
( ~ spl0_570
| spl0_9
| ~ spl0_244
| ~ spl0_16
| spl0_13
| spl0_43
| spl0_49
| ~ spl0_39 ),
inference(rat,[],[s3826,s3083,s2429,s3254,s3837,s3545,s3245,s3546,s2326]) ).
cnf(s4284,plain,
( ~ spl0_430
| ~ spl0_500
| ~ spl0_422
| ~ spl0_423 ),
inference(rat,[],[s2218,s2787]) ).
cnf(s4285,plain,
( ~ spl0_626
| spl0_9
| ~ spl0_439
| spl0_21
| spl0_544
| ~ spl0_37
| ~ spl0_17
| ~ spl0_39 ),
inference(rat,[],[s3425,s3420,s3325,s3313]) ).
cnf(s4286,plain,
( spl0_9
| ~ spl0_439
| spl0_435
| ~ spl0_251
| ~ spl0_244
| ~ spl0_422
| ~ spl0_423
| spl0_544
| ~ spl0_58
| spl0_438
| spl0_13
| spl0_43
| ~ spl0_37
| spl0_49
| ~ spl0_17
| ~ spl0_39 ),
inference(rat,[],[s2218,s2787,s2435,s1948,s3613,s3339,s3028,s3793,s4285,s3543,s4283,s2836,s3036,s2326,s1419,s2464]) ).
cnf(s4287,plain,
( ~ spl0_462
| spl0_21
| spl0_544
| ~ spl0_37
| ~ spl0_17
| ~ spl0_8 ),
inference(rat,[],[s3420,s3373,s3425]) ).
cnf(s4288,plain,
( spl0_608
| ~ spl0_465
| spl0_435
| ~ spl0_251
| ~ spl0_422
| ~ spl0_423
| spl0_438 ),
inference(rat,[],[s4284,s1948,s2435,s3339,s3613,s1419,s2326]) ).
cnf(s4289,plain,
( spl0_227
| ~ spl0_422
| ~ spl0_423
| spl0_544
| ~ spl0_58
| spl0_438
| spl0_13
| spl0_43
| spl0_12
| ~ spl0_6
| ~ spl0_8
| spl0_4
| ~ spl0_39 ),
inference(rat,[],[s3543,s3545,s3028,s3115,s4288,s3793,s3325,s4287,s4286,s3374,s3305,s3036,s3177,s3385,s3137,s3446,s1257,s3651,s3528,s93,s37,s18,s19,s48,s69,s2836,s2464,s2326,s60]) ).
cnf(s4290,plain,
( spl0_608
| spl0_462
| ~ spl0_251
| ~ spl0_227
| ~ spl0_422
| ~ spl0_423
| spl0_544
| spl0_438
| ~ spl0_24
| ~ spl0_8
| spl0_4
| spl0_3 ),
inference(rat,[],[s3374,s3833,s2067,s1947,s2435,s4288,s3810,s3613,s3716,s3036,s2326,s1419]) ).
cnf(s4291,plain,
( ~ spl0_608
| ~ spl0_58
| spl0_13
| ~ spl0_8
| spl0_1 ),
inference(rat,[],[s3543,s3546,s3028,s4224,s2836,s43,s2464]) ).
cnf(s4292,plain,
( ~ spl0_251
| spl0_608
| ~ spl0_227
| ~ spl0_422
| ~ spl0_423
| spl0_544
| spl0_438
| ~ spl0_24
| ~ spl0_37
| ~ spl0_17
| ~ spl0_8
| spl0_4
| spl0_3 ),
inference(rat,[],[s4287,s4290,s3036]) ).
cnf(s4293,plain,
( ~ spl0_58
| spl0_438
| spl0_13
| spl0_43
| spl0_12
| ~ spl0_8
| spl0_4
| spl0_3
| spl0_1 ),
inference(rat,[],[s2851,s3598,s4239,s3385,s4292,s4291,s4289,s1941,s1942,s3338,s3891,s4220,s43,s3528,s37,s19,s48,s4282,s1419,s60]) ).
cnf(s4294,plain,
( spl0_22
| spl0_43
| spl0_12
| ~ spl0_8
| spl0_4
| spl0_3
| spl0_1 ),
inference(rat,[],[s3370,s1947,s3550,s3809,s3374,s2040,s4224,s2753,s3814,s3186,s4240,s4235,s3530,s3528,s19,s48,s4282,s1419,s2326,s60]) ).
cnf(s4295,plain,
( ~ spl0_438
| spl0_20
| spl0_43
| ~ spl0_6 ),
inference(rat,[],[s3385,s3036,s3274,s2765]) ).
cnf(s4296,plain,
( spl0_43
| spl0_12
| ~ spl0_8
| spl0_4
| spl0_3
| spl0_1 ),
inference(rat,[],[s4293,s3214,s4295,s69,s2836,s102,s65,s4294,s43,s48,s4282]) ).
cnf(s4297,plain,
( spl0_608
| spl0_438
| ~ spl0_251
| ~ spl0_613
| ~ spl0_227
| spl0_22
| spl0_3 ),
inference(rat,[],[s2435,s4237,s3613,s3507,s2326]) ).
cnf(s4298,plain,
( ~ spl0_608
| ~ spl0_609
| ~ spl0_285
| ~ spl0_8
| spl0_4
| spl0_1 ),
inference(rat,[],[s2429,s3808,s3464,s4224,s2326]) ).
cnf(s4299,plain,
( spl0_12
| ~ spl0_8
| spl0_4
| spl0_3
| spl0_1 ),
inference(rat,[],[s33,s3367,s69,s3097,s3274,s4297,s4298,s4239,s3712,s2851,s1257,s3598,s1393,s4227,s3089,s4296,s18,s19,s2829,s48,s3528,s43,s441,s4282,s1419,s60]) ).
cnf(s4300,plain,
( ~ spl0_13
| spl0_21
| ~ spl0_39
| ~ spl0_628 ),
inference(rat,[],[s4279,s4248]) ).
cnf(s4302,plain,
( spl0_44
| ~ spl0_28
| ~ spl0_613
| ~ spl0_227 ),
inference(rat,[],[s2862,s3367,s2625]) ).
cnf(s4303,plain,
( ~ spl0_251
| spl0_43
| ~ spl0_8
| spl0_4
| spl0_3
| spl0_1 ),
inference(rat,[],[s2756,s3313,s2633,s4265,s3634,s3766,s3793,s19,s3133,s3374,s3833,s1942,s3305,s3510,s3097,s4302,s33,s3546,s3543,s4237,s2435,s3617,s3162,s3370,s1947,s3809,s2040,s2753,s3186,s4254,s4224,s2909,s4257,s3865,s2765,s3635,s4300,s105,s43,s3672,s441,s4299,s2824,s2464,s2326,s1419]) ).
cnf(s4304,plain,
( spl0_544
| spl0_244
| spl0_43
| spl0_13
| ~ spl0_12
| ~ spl0_628
| spl0_4
| spl0_3 ),
inference(rat,[],[s3598,s19,s2851,s3405,s4254,s4235,s1419]) ).
cnf(s4305,plain,
( ~ spl0_22
| ~ spl0_455
| spl0_624
| spl0_425
| ~ spl0_544
| spl0_244
| spl0_251
| spl0_438
| ~ spl0_628
| spl0_4
| ~ spl0_39 ),
inference(rat,[],[s2756,s2633,s3315,s3101,s3510,s2934,s1942,s3887,s1947,s3561,s2851,s3886,s2920,s3598,s3374,s19,s37,s65,s3405,s1798,s1419,s2326]) ).
cnf(s4306,plain,
( ~ spl0_423
| ~ spl0_439
| ~ spl0_613
| ~ spl0_227 ),
inference(rat,[],[s3610,s2636]) ).
cnf(s4307,plain,
( spl0_423
| ~ spl0_613
| spl0_614
| spl0_425
| spl0_244
| ~ spl0_227
| spl0_438 ),
inference(rat,[],[s33,s4302,s3843,s3510,s1951,s1942,s1419]) ).
cnf(s4308,plain,
( spl0_22
| spl0_425
| ~ spl0_544
| spl0_244
| ~ spl0_369
| spl0_43
| spl0_13
| ~ spl0_12
| spl0_3
| ~ spl0_39 ),
inference(rat,[],[s2756,s3313,s2633,s3679,s1941,s3163,s3178,s3793,s3133,s3213,s4306,s4307,s2851,s3597,s96,s3738,s2765,s105,s3635,s2824,s1419,s2464,s60]) ).
cnf(s4309,plain,
( spl0_608
| ~ spl0_22
| spl0_425
| ~ spl0_544
| spl0_244
| spl0_251
| spl0_438
| ~ spl0_12
| ~ spl0_628
| spl0_4
| ~ spl0_39 ),
inference(rat,[],[s4305,s3813,s3117,s4300,s105]) ).
cnf(s4310,plain,
( spl0_43
| ~ spl0_8
| spl0_4
| spl0_3
| spl0_1 ),
inference(rat,[],[s3543,s4305,s3546,s3118,s4224,s4309,s1225,s2625,s3510,s1942,s3561,s2920,s3374,s18,s19,s3405,s4308,s2753,s3186,s4304,s3156,s3385,s1798,s4303,s2765,s4282,s4300,s105,s4299,s43,s3672,s441,s2464,s1419,s2326]) ).
cnf(s4311,plain,
( spl0_438
| ~ spl0_251
| ~ spl0_43
| ~ spl0_12
| ~ spl0_8
| spl0_4
| spl0_1 ),
inference(rat,[],[s4302,s33,s3510,s3546,s1942,s3543,s3831,s4237,s1947,s2435,s3809,s3617,s2040,s3828,s2753,s2429,s3186,s3808,s4258,s4298,s4224,s2909,s4257,s3865,s2724,s1393,s3089,s3635,s2822,s4300,s105,s43,s3672,s441,s1419,s2464,s2326]) ).
cnf(s4312,plain,
( ~ spl0_251
| ~ spl0_43
| ~ spl0_12
| ~ spl0_8
| spl0_4
| spl0_1 ),
inference(rat,[],[s3102,s1941,s26,s2804,s9,s3212,s2790,s5,s1942,s2723,s3127,s33,s2625,s2633,s69,s2781,s3097,s3160,s3274,s4311,s3635,s2822,s4300,s105,s43,s3672,s2981,s3089,s441,s1419]) ).
cnf(s4313,plain,
( spl0_608
| ~ spl0_19
| ~ spl0_32
| spl0_227
| spl0_544
| ~ spl0_44
| spl0_244
| spl0_13
| ~ spl0_12
| ~ spl0_39 ),
inference(rat,[],[s1941,s4284,s3329,s1948,s2864,s3339,s3301,s3793,s3798,s3327,s2633,s4265,s2435,s3612,s3601,s3813,s3716,s105,s33,s1942,s3510,s2880,s3766,s3654,s3651,s3819,s3274,s3097,s1419,s2464,s2326,s60]) ).
cnf(s4314,plain,
( ~ spl0_608
| spl0_251
| ~ spl0_43
| ~ spl0_8
| spl0_1 ),
inference(rat,[],[s3782,s3074,s2435,s3612,s4224,s3274,s3097,s3128,s43,s2724,s3089,s441,s2326]) ).
cnf(s4315,plain,
( spl0_227
| spl0_544
| spl0_608
| ~ spl0_44
| spl0_244
| spl0_13
| ~ spl0_12
| spl0_4
| spl0_1 ),
inference(rat,[],[s4313,s19,s32,s18,s3654,s1257,s3651,s43,s10,s60]) ).
cnf(s4316,plain,
( ~ spl0_22
| spl0_251
| spl0_244
| ~ spl0_43
| ~ spl0_628
| spl0_4 ),
inference(rat,[],[s3887,s2936,s2851,s3598,s19,s3405,s1419]) ).
cnf(s4318,plain,
( spl0_544
| spl0_43
| ~ spl0_4
| spl0_3 ),
inference(rat,[],[s3187,s3155,s2633,s1941,s1942,s2755,s3338,s3891,s2719,s2625,s2814,s2764,s1419]) ).
cnf(s4319,plain,
( ~ spl0_49
| ~ spl0_628 ),
inference(rat,[],[s3405,s93,s96]) ).
cnf(s4320,plain,
( spl0_43
| spl0_22
| ~ spl0_28
| ~ spl0_4
| spl0_3 ),
inference(rat,[],[s4302,s2851,s2814,s3340,s3597,s2764,s1419]) ).
cnf(s4323,plain,
( ~ spl0_22
| ~ spl0_544
| spl0_12
| ~ spl0_4
| ~ spl0_39 ),
inference(rat,[],[s2661,s2755,s2799,s93,s2885,s2901,s3548,s2836,s102,s65]) ).
cnf(s4324,plain,
( spl0_43
| spl0_12
| ~ spl0_4
| spl0_3
| ~ spl0_39 ),
inference(rat,[],[s33,s2901,s4320,s96,s4323,s4318]) ).
cnf(s4325,plain,
( ~ spl0_22
| ~ spl0_46
| spl0_12
| ~ spl0_4
| ~ spl0_39 ),
inference(rat,[],[s2814,s3832,s2762,s1438,s2594,s93,s2901,s2836,s102,s65,s1419,s60]) ).
cnf(s4326,plain,
( spl0_12
| ~ spl0_4
| spl0_3
| spl0_1 ),
inference(rat,[],[s3712,s3071,s2980,s2981,s2814,s2625,s2723,s12,s2901,s96,s4325,s2724,s4324,s43]) ).
cnf(s4327,plain,
( ~ spl0_16
| ~ spl0_22
| ~ spl0_544
| ~ spl0_4
| ~ spl0_39 ),
inference(rat,[],[s3489,s2135,s2661,s503,s2780,s2799,s2594,s93,s69,s2901,s60]) ).
cnf(s4328,plain,
( spl0_19
| spl0_243
| ~ spl0_13
| spl0_9
| ~ spl0_28
| ~ spl0_45
| ~ spl0_236
| spl0_43
| ~ spl0_39 ),
inference(rat,[],[s3209,s1941,s3213,s2790,s3187,s2963,s2781,s3160,s3214,s93,s1419]) ).
cnf(s4329,plain,
( spl0_582
| spl0_49
| ~ spl0_59
| spl0_243
| spl0_9
| ~ spl0_236
| spl0_43
| ~ spl0_39 ),
inference(rat,[],[s3215,s3213,s1941,s3771,s3798,s3187,s2633,s1419]) ).
cnf(s4330,plain,
( ~ spl0_597
| ~ spl0_507
| ~ spl0_544 ),
inference(rat,[],[s2923,s2750,s2885]) ).
cnf(s4331,plain,
( ~ spl0_22
| ~ spl0_544
| spl0_43
| ~ spl0_12
| ~ spl0_4
| ~ spl0_39 ),
inference(rat,[],[s2799,s4329,s2661,s2755,s4330,s4328,s3367,s3207,s2950,s3635,s3651,s2945,s2394,s25,s33,s4327,s65,s2824,s2625,s2814,s2764,s60]) ).
cnf(s4332,plain,
( spl0_43
| ~ spl0_12
| ~ spl0_4
| spl0_3
| ~ spl0_39 ),
inference(rat,[],[s33,s2901,s4320,s96,s4331,s4318]) ).
cnf(s4333,plain,
( ~ spl0_49
| ~ spl0_22
| ~ spl0_46
| ~ spl0_4
| ~ spl0_39 ),
inference(rat,[],[s2814,s3832,s2762,s1438,s2594,s93,s1419,s60]) ).
cnf(s4334,plain,
( spl0_44
| ~ spl0_13
| spl0_582
| spl0_435
| spl0_9
| ~ spl0_28
| ~ spl0_22
| ~ spl0_46
| ~ spl0_39 ),
inference(rat,[],[s2790,s2804,s2781,s1941,s3214,s3187,s3233,s3207,s2950,s3651,s2945,s3832,s2625,s65,s1419,s60]) ).
cnf(s4335,plain,
( spl0_544
| ~ spl0_22
| ~ spl0_46
| ~ spl0_12
| ~ spl0_4
| ~ spl0_39 ),
inference(rat,[],[s3634,s3766,s2980,s2981,s3214,s2814,s3097,s4334,s3819,s2961,s2633,s2755,s3716,s2719,s105,s65,s33,s25,s2901,s4333]) ).
cnf(s4336,plain,
( ~ spl0_22
| ~ spl0_46
| ~ spl0_12
| ~ spl0_4
| ~ spl0_39 ),
inference(rat,[],[s3634,s3766,s2980,s2981,s3214,s2814,s3097,s4334,s3133,s3213,s3771,s2961,s2633,s2755,s4330,s4335,s2394,s25,s33,s2901,s4333,s65]) ).
cnf(s4337,plain,
( spl0_44
| spl0_59
| spl0_582
| spl0_435
| ~ spl0_28
| spl0_13
| ~ spl0_43
| ~ spl0_12
| spl0_1 ),
inference(rat,[],[s3102,s26,s1941,s9,s3303,s5,s2851,s2723,s3367,s2625,s2864,s3301,s1419]) ).
cnf(s4339,plain,
( ~ spl0_582
| ~ spl0_438
| spl0_44
| ~ spl0_4 ),
inference(rat,[],[s3177,s1942,s3125,s2750,s2893,s3274,s2755,s3160,s1419]) ).
cnf(s4340,plain,
( spl0_44
| ~ spl0_43
| ~ spl0_12
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s3727,s3212,s1941,s1942,s3102,s3132,s4337,s4339,s3865,s2911,s26,s4302,s2862,s9,s3635,s5,s2822,s2723,s3128,s2625,s16,s105,s33,s2901,s96,s4336,s2724,s43,s1419]) ).
cnf(s4342,plain,
( spl0_44
| ~ spl0_15
| spl0_625
| spl0_255 ),
inference(rat,[],[s1257,s3838,s3125]) ).
cnf(s4343,plain,
( spl0_227
| spl0_13
| ~ spl0_15
| ~ spl0_16
| spl0_255 ),
inference(rat,[],[s3137,s3446,s1257,s3651,s60]) ).
cnf(s4345,plain,
( spl0_44
| spl0_251
| spl0_12
| ~ spl0_8
| spl0_4 ),
inference(rat,[],[s19,s18,s48,s4342,s3681,s3870,s3280,s1798,s3528,s60]) ).
cnf(s4346,plain,
( ~ spl0_227
| ~ spl0_16
| ~ spl0_44
| spl0_251
| spl0_43
| ~ spl0_17
| spl0_49
| ~ spl0_8
| spl0_4 ),
inference(rat,[],[s2968,s1942,s2719,s2750,s2893,s3272,s1941,s2095,s3326,s3371,s3680,s1244,s3793,s4295,s3598,s3302,s3002,s3908,s19,s3375,s2851,s2911,s3669,s2987,s4239,s3280,s1798,s69,s63,s1419,s2326,s2464]) ).
cnf(s4347,plain,
( spl0_13
| spl0_227
| ~ spl0_16
| spl0_255 ),
inference(rat,[],[s4343,s11]) ).
cnf(s4348,plain,
( ~ spl0_16
| spl0_251
| spl0_43
| spl0_12
| ~ spl0_628
| ~ spl0_8
| spl0_4
| ~ spl0_39 ),
inference(rat,[],[s3205,s1941,s2956,s3710,s1942,s3371,s3213,s2885,s3897,s3659,s3680,s1236,s3793,s48,s3002,s3214,s4300,s4347,s3366,s3403,s2947,s3651,s4346,s63,s69,s4319,s3528,s3870,s1798,s4345,s1419,s2326,s2464,s60]) ).
cnf(s4349,plain,
( spl0_43
| ~ spl0_628
| ~ spl0_8
| spl0_4
| ~ spl0_3
| ~ spl0_39 ),
inference(rat,[],[s3598,s2851,s19,s3368,s3016,s3766,s2997,s3046,s4348,s1798,s3387,s2764,s3528,s101,s3688,s4319,s1419,s60]) ).
cnf(s4350,plain,
( ~ spl0_16
| spl0_438
| ~ spl0_44
| spl0_251
| ~ spl0_369
| spl0_12
| ~ spl0_628
| ~ spl0_8
| ~ spl0_39 ),
inference(rat,[],[s3205,s1941,s2956,s3710,s1942,s3371,s3213,s2885,s3897,s3659,s3680,s1236,s3793,s48,s3002,s3214,s4300,s4347,s3366,s4239,s2909,s3908,s63,s4319,s3528,s3870,s3097,s1419,s2326,s2464,s60]) ).
cnf(s4353,plain,
( ~ spl0_597
| ~ spl0_8
| spl0_16 ),
inference(rat,[],[s3186,s3556,s2719,s2750,s2885]) ).
cnf(s4354,plain,
( ~ spl0_8
| ~ spl0_569
| spl0_13
| ~ spl0_369
| spl0_44
| spl0_16
| ~ spl0_4
| ~ spl0_3
| ~ spl0_39 ),
inference(rat,[],[s3332,s3327,s1941,s2633,s3163,s3793,s2755,s3142,s4353,s3034,s33,s1419,s2464]) ).
cnf(s4355,plain,
( spl0_227
| spl0_43
| ~ spl0_9
| spl0_59
| spl0_16
| ~ spl0_4
| ~ spl0_3
| ~ spl0_39 ),
inference(rat,[],[s3329,s3716,s1941,s2864,s2756,s3187,s3301,s3179,s3160,s1118,s3372,s104,s4354,s3651,s561,s1798,s3156,s3387,s2625,s2954,s3367,s2814,s2764,s33,s1419,s60]) ).
cnf(s4356,plain,
( spl0_43
| ~ spl0_9
| ~ spl0_17
| spl0_16
| ~ spl0_4
| ~ spl0_3
| ~ spl0_39 ),
inference(rat,[],[s3303,s3716,s1941,s2864,s2756,s3187,s3301,s3179,s3160,s1118,s3372,s104,s3280,s3838,s4355,s2851,s3367,s2625,s3156,s1798,s2814,s3387,s2764,s561,s33,s2829,s1419]) ).
cnf(s4359,plain,
( spl0_544
| ~ spl0_582
| ~ spl0_24
| ~ spl0_255
| spl0_43
| ~ spl0_37
| spl0_8
| ~ spl0_17
| spl0_3
| spl0_4 ),
inference(rat,[],[s3374,s3325,s3793,s3177,s3425,s3489,s1942,s3420,s3716,s3891,s104,s2326,s2464,s1419]) ).
cnf(s4360,plain,
( ~ spl0_582
| spl0_19
| ~ spl0_58
| ~ spl0_22
| ~ spl0_255
| spl0_43
| ~ spl0_37
| spl0_8
| ~ spl0_17
| spl0_3
| spl0_4 ),
inference(rat,[],[s2934,s3427,s3489,s3371,s3213,s3548,s4359,s93,s19,s2326]) ).
cnf(s4361,plain,
( spl0_19
| ~ spl0_58
| ~ spl0_22
| ~ spl0_569
| spl0_44
| spl0_43
| ~ spl0_16
| spl0_8
| ~ spl0_17
| spl0_3
| spl0_4
| ~ spl0_39 ),
inference(rat,[],[s3548,s3038,s3374,s1942,s3100,s3155,s3156,s3562,s3187,s2633,s4360,s1941,s4215,s3214,s19,s69,s63,s2765,s104,s2625,s3125,s3621,s2824,s439,s2326,s1419]) ).
cnf(s4362,plain,
( spl0_544
| ~ spl0_582
| spl0_33
| ~ spl0_22
| ~ spl0_37
| spl0_8 ),
inference(rat,[],[s3427,s3489,s3420,s3716,s104]) ).
cnf(s4363,plain,
( ~ spl0_582
| spl0_49
| spl0_33
| ~ spl0_58
| ~ spl0_22
| ~ spl0_37
| spl0_8 ),
inference(rat,[],[s3427,s3489,s3371,s3213,s3548,s4362,s2326]) ).
cnf(s4364,plain,
( spl0_227
| spl0_44
| spl0_43
| ~ spl0_16
| spl0_12
| spl0_3
| spl0_4
| spl0_1 ),
inference(rat,[],[s3548,s3234,s3038,s1942,s3155,s3156,s3187,s2633,s4363,s1941,s4215,s2954,s2911,s2749,s3459,s2837,s3223,s4361,s102,s65,s3340,s3651,s43,s3528,s63,s2765,s104,s2625,s3125,s3621,s2824,s439,s4299,s1419,s60]) ).
cnf(s4365,plain,
( ~ spl0_22
| ~ spl0_582
| spl0_19
| ~ spl0_255
| spl0_43
| ~ spl0_37
| spl0_8
| spl0_12
| spl0_3
| spl0_4 ),
inference(rat,[],[s102,s4360,s65,s3528,s60]) ).
cnf(s4366,plain,
( ~ spl0_439
| ~ spl0_608
| ~ spl0_544
| spl0_20
| ~ spl0_5
| spl0_12
| spl0_4
| ~ spl0_39 ),
inference(rat,[],[s2966,s2864,s1948,s3298,s3869,s3699,s3659,s3421,s3793,s3809,s3305,s3783,s2040,s1947,s2921,s3370,s3550,s3528,s1419,s2464,s60]) ).
cnf(s4367,plain,
( ~ spl0_570
| ~ spl0_608
| spl0_19
| ~ spl0_244
| spl0_43
| ~ spl0_16
| ~ spl0_39 ),
inference(rat,[],[s3115,s4283,s3545,s93,s3214,s69]) ).
cnf(s4368,plain,
( ~ spl0_582
| spl0_19
| ~ spl0_227
| ~ spl0_255
| spl0_43
| ~ spl0_16
| spl0_8
| spl0_12
| spl0_3
| spl0_4
| ~ spl0_39 ),
inference(rat,[],[s1948,s2675,s3858,s3421,s3091,s3543,s4367,s3213,s4366,s4297,s4239,s2851,s3597,s4365,s4359,s2477,s3528,s69,s63,s2765,s104,s3621,s2824,s439,s93,s19,s1419,s2464,s60]) ).
cnf(s4369,plain,
( spl0_544
| spl0_582
| ~ spl0_236
| spl0_43
| spl0_3 ),
inference(rat,[],[s3187,s3155,s1941,s1942,s3338,s3891,s2633,s1419]) ).
cnf(s4370,plain,
( spl0_439
| ~ spl0_465
| spl0_582
| ~ spl0_24
| spl0_49
| ~ spl0_244
| spl0_43
| spl0_4 ),
inference(rat,[],[s3562,s3100,s1941,s3215,s3374,s3213,s1419,s2326]) ).
cnf(s4371,plain,
( spl0_19
| ~ spl0_227
| ~ spl0_255
| ~ spl0_236
| spl0_43
| ~ spl0_16
| spl0_8
| spl0_12
| spl0_3
| spl0_4
| ~ spl0_39 ),
inference(rat,[],[s2921,s3550,s3783,s4370,s3771,s2756,s4369,s2633,s4368,s19,s93,s3621,s2824,s439]) ).
cnf(s4372,plain,
( spl0_44
| spl0_43
| ~ spl0_16
| spl0_12
| spl0_3
| spl0_4
| spl0_1 ),
inference(rat,[],[s3177,s1942,s3783,s3234,s3771,s3548,s2756,s4369,s2633,s4363,s2749,s102,s3223,s65,s3597,s2851,s2911,s3459,s2837,s4371,s4364,s3125,s2625,s43,s63,s2765,s104,s3621,s2824,s439,s4299,s1419]) ).
cnf(s4373,plain,
( spl0_43
| ~ spl0_16
| spl0_12
| spl0_3
| spl0_4
| spl0_1 ),
inference(rat,[],[s4214,s1941,s3446,s4215,s3214,s93,s102,s1827,s3223,s65,s3340,s3651,s4239,s3156,s3440,s3430,s3375,s4372,s3621,s2765,s2824,s43,s3528,s439,s104,s4299,s69,s63,s1419,s60]) ).
cnf(s4375,plain,
( ~ spl0_22
| ~ spl0_544
| ~ spl0_582
| spl0_49
| ~ spl0_37
| spl0_8
| spl0_12 ),
inference(rat,[],[s3371,s2934,s3548,s4363,s102,s65,s2326]) ).
cnf(s4376,plain,
( ~ spl0_439
| ~ spl0_544
| spl0_609
| ~ spl0_43
| spl0_20
| ~ spl0_5
| spl0_12
| spl0_4
| ~ spl0_39 ),
inference(rat,[],[s2864,s3303,s3425,s1941,s3325,s3759,s3793,s3305,s3783,s2921,s3550,s3528,s3021,s3651,s3712,s1419,s2464,s60]) ).
cnf(s4377,plain,
( spl0_439
| ~ spl0_569
| ~ spl0_612
| spl0_13
| ~ spl0_24
| spl0_4 ),
inference(rat,[],[s3100,s1941,s3374,s3332,s1419,s2326]) ).
cnf(s4378,plain,
( spl0_44
| spl0_19
| ~ spl0_43
| ~ spl0_37
| spl0_20
| spl0_21
| ~ spl0_5
| spl0_12
| spl0_4
| spl0_1 ),
inference(rat,[],[s3783,s3177,s3793,s1942,s4285,s3038,s4376,s4377,s2947,s3651,s3712,s3125,s3062,s3071,s3621,s2822,s2723,s3128,s2625,s43,s3528,s2724,s93,s19,s3214,s2464,s1419,s60]) ).
cnf(s4379,plain,
( spl0_227
| ~ spl0_44
| spl0_13
| spl0_49
| ~ spl0_43
| ~ spl0_16
| spl0_8
| ~ spl0_39 ),
inference(rat,[],[s3871,s2723,s3430,s3446,s2947,s3651,s60]) ).
cnf(s4380,plain,
( spl0_19
| ~ spl0_43
| ~ spl0_16
| spl0_8
| spl0_12
| spl0_4
| spl0_1 ),
inference(rat,[],[s4239,s2822,s2851,s3621,s3598,s3071,s3712,s4379,s4378,s3214,s19,s93,s43,s3528,s439,s104,s69,s63,s1419,s60]) ).
cnf(s4381,plain,
( spl0_544
| ~ spl0_582
| spl0_9
| spl0_33
| ~ spl0_37
| spl0_8
| ~ spl0_17
| spl0_3
| ~ spl0_39 ),
inference(rat,[],[s4285,s3793,s3458,s3489,s4362,s3716,s104,s2464]) ).
cnf(s4382,plain,
( ~ spl0_582
| spl0_49
| spl0_13
| spl0_609
| spl0_9
| ~ spl0_569
| spl0_33
| ~ spl0_43
| ~ spl0_37
| spl0_20
| spl0_8
| spl0_12
| spl0_3
| spl0_4
| ~ spl0_39 ),
inference(rat,[],[s3759,s1941,s3489,s3332,s3213,s4376,s4381,s3528,s439,s1419,s60]) ).
cnf(s4383,plain,
( spl0_49
| spl0_13
| ~ spl0_623
| ~ spl0_255
| spl0_9
| ~ spl0_251
| spl0_227
| spl0_33
| ~ spl0_43
| ~ spl0_37
| spl0_20
| spl0_8
| spl0_12
| spl0_3
| spl0_4
| ~ spl0_39 ),
inference(rat,[],[s4376,s3234,s3038,s1942,s3177,s3783,s3771,s2633,s4382,s2947,s3651,s3071,s3621,s2822,s439,s1419,s60]) ).
cnf(s4384,plain,
( spl0_44
| spl0_227
| ~ spl0_19
| ~ spl0_43
| ~ spl0_37
| spl0_20
| spl0_8
| spl0_12
| spl0_3
| spl0_4
| ~ spl0_39 ),
inference(rat,[],[s2749,s2594,s4383,s2950,s2911,s3459,s3125,s3621,s2822,s2723,s3128,s2625,s439,s2724,s2837,s3651,s60,s1419]) ).
cnf(s4385,plain,
( spl0_49
| ~ spl0_44
| spl0_227
| spl0_33
| ~ spl0_43
| ~ spl0_16
| spl0_8
| ~ spl0_39 ),
inference(rat,[],[s3887,s16,s3430,s3403,s4379,s2947,s104,s63,s3651,s60]) ).
cnf(s4386,plain,
( ~ spl0_49
| ~ spl0_19
| ~ spl0_5
| spl0_4
| ~ spl0_39 ),
inference(rat,[],[s98,s88,s2594,s96,s2837,s60]) ).
cnf(s4387,plain,
( spl0_44
| ~ spl0_19
| ~ spl0_43
| ~ spl0_37
| spl0_20
| spl0_8
| spl0_12
| spl0_3
| spl0_4
| ~ spl0_39 ),
inference(rat,[],[s3621,s2988,s2822,s4384,s3128,s439,s2724,s3676]) ).
cnf(s4388,plain,
( ~ spl0_16
| spl0_12
| spl0_3
| spl0_4
| spl0_1 ),
inference(rat,[],[s2909,s4239,s3908,s2822,s3274,s3621,s2988,s4385,s4387,s4386,s2837,s3676,s4380,s4373,s63,s69,s43,s3528,s439,s4299,s60]) ).
cnf(s4389,plain,
( spl0_43
| spl0_22
| ~ spl0_28
| spl0_59
| spl0_8
| ~ spl0_17
| spl0_3 ),
inference(rat,[],[s3430,s4239,s3367,s2851,s3340,s3597,s2765,s104,s1419]) ).
cnf(s4390,plain,
( spl0_227
| spl0_19
| spl0_20
| ~ spl0_44
| ~ spl0_43
| spl0_13
| spl0_49
| ~ spl0_28
| spl0_8
| spl0_12
| spl0_4
| spl0_1 ),
inference(rat,[],[s3303,s2864,s1941,s3301,s3100,s3489,s3783,s3716,s3793,s4376,s3659,s4377,s3368,s3062,s3071,s3430,s3403,s3021,s1257,s2947,s3651,s2829,s3528,s43,s439,s104,s37,s18,s19,s1419,s2464,s60]) ).
cnf(s4391,plain,
( spl0_19
| spl0_20
| ~ spl0_44
| ~ spl0_43
| spl0_13
| spl0_49
| ~ spl0_28
| spl0_8
| spl0_12
| spl0_4
| spl0_1 ),
inference(rat,[],[s4239,s2851,s2822,s3598,s3621,s3071,s3712,s4390,s19,s43,s3528,s439,s1419,s60]) ).
cnf(s4393,plain,
( ~ spl0_424
| spl0_438
| ~ spl0_30
| ~ spl0_44
| spl0_22
| ~ spl0_9
| spl0_3 ),
inference(rat,[],[s3458,s2756,s2880,s3893,s3510]) ).
cnf(s4395,plain,
( spl0_438
| ~ spl0_30
| ~ spl0_43
| spl0_22
| ~ spl0_9
| ~ spl0_28
| spl0_8
| spl0_3
| spl0_4
| ~ spl0_39 ),
inference(rat,[],[s1941,s2697,s3161,s2633,s3178,s3327,s3793,s3783,s2040,s2880,s3458,s3561,s3755,s1942,s4393,s1798,s3430,s439,s2816,s2625,s2723,s1419,s2464]) ).
cnf(s4396,plain,
( spl0_12
| spl0_3
| spl0_4
| spl0_1 ),
inference(rat,[],[s2988,s3274,s2947,s4395,s3766,s3676,s4391,s2781,s2625,s3122,s2723,s4389,s16,s25,s2387,s12,s33,s4388,s104,s2829,s4299,s3528,s43,s474,s2698,s60]) ).
cnf(s4397,plain,
( spl0_43
| ~ spl0_16
| spl0_3
| spl0_4
| spl0_1 ),
inference(rat,[],[s3440,s3223,s2954,s16,s3621,s3620,s3622,s439,s4310,s2824,s105,s4396]) ).
cnf(s4398,plain,
( ~ spl0_8
| ~ spl0_16
| spl0_3
| spl0_4
| spl0_1 ),
inference(rat,[],[s4271,s4347,s3274,s4316,s4300,s3870,s4314,s3089,s3672,s4312,s441,s43,s105,s4396,s69,s4397]) ).
cnf(s4399,plain,
( spl0_227
| spl0_49
| ~ spl0_22
| ~ spl0_19
| ~ spl0_13
| spl0_8
| ~ spl0_43
| ~ spl0_16
| ~ spl0_39 ),
inference(rat,[],[s3233,s3832,s2950,s4385,s3651,s2724,s2837,s60]) ).
cnf(s4400,plain,
( spl0_544
| ~ spl0_438
| ~ spl0_612
| spl0_9
| spl0_33
| ~ spl0_22
| spl0_8
| ~ spl0_37
| spl0_4
| ~ spl0_39 ),
inference(rat,[],[s3783,s3100,s3771,s1941,s2633,s3272,s4362,s2719,s439,s1419]) ).
cnf(s4401,plain,
( spl0_425
| ~ spl0_438
| spl0_609
| ~ spl0_5
| ~ spl0_43
| spl0_4 ),
inference(rat,[],[s1941,s3759,s3272,s3783,s2750,s1419]) ).
cnf(s4402,plain,
( spl0_44
| spl0_609
| ~ spl0_13
| spl0_8
| ~ spl0_43
| ~ spl0_37
| ~ spl0_12
| spl0_4
| spl0_1 ),
inference(rat,[],[s2927,s1942,s2935,s2968,s4401,s4400,s3865,s3062,s2911,s3621,s3233,s2822,s2723,s3832,s3128,s2625,s2724,s2837,s43,s3223,s16,s105,s3620,s439,s1419]) ).
cnf(s4403,plain,
( ~ spl0_425
| ~ spl0_625
| ~ spl0_36
| ~ spl0_13 ),
inference(rat,[],[s1942,s3182,s2927,s2928,s2935,s1419,s2326]) ).
cnf(s4404,plain,
( ~ spl0_16
| spl0_3
| spl0_4
| spl0_1 ),
inference(rat,[],[s2909,s3887,s3908,s3430,s4401,s4403,s4402,s3818,s3669,s4399,s3223,s4386,s2837,s16,s3620,s3622,s439,s4398,s4397,s63,s43,s105,s4396]) ).
cnf(s4405,plain,
( spl0_43
| spl0_3
| spl0_4
| spl0_1 ),
inference(rat,[],[s3440,s3223,s2950,s3340,s3635,s3651,s3634,s3766,s3621,s3620,s439,s4310,s2824,s4396,s4404,s60]) ).
cnf(s4406,plain,
( ~ spl0_8
| spl0_3
| spl0_4
| spl0_1 ),
inference(rat,[],[s4315,s4264,s4271,s32,s3274,s10,s3097,s4316,s4300,s3128,s4314,s3089,s3672,s4312,s441,s43,s105,s4396,s4404,s2724,s4405]) ).
cnf(s4407,plain,
( spl0_44
| spl0_438
| ~ spl0_5
| ~ spl0_46
| ~ spl0_12
| spl0_4
| ~ spl0_39 ),
inference(rat,[],[s3547,s3440,s2909,s3621,s3865,s2822,s3128,s3620]) ).
cnf(s4408,plain,
( spl0_544
| spl0_609
| spl0_13
| spl0_236
| ~ spl0_45
| ~ spl0_30
| ~ spl0_5
| ~ spl0_43
| ~ spl0_28
| ~ spl0_12
| spl0_4
| ~ spl0_39 ),
inference(rat,[],[s1941,s3759,s3710,s3783,s2633,s2880,s2961,s3819,s3716,s105,s1419]) ).
cnf(s4409,plain,
( ~ spl0_423
| ~ spl0_544
| spl0_251
| ~ spl0_43 ),
inference(rat,[],[s3561,s3755]) ).
cnf(s4410,plain,
( ~ spl0_424
| ~ spl0_623
| ~ spl0_44
| spl0_438
| ~ spl0_30 ),
inference(rat,[],[s2880,s3234,s3510]) ).
cnf(s4411,plain,
( ~ spl0_22
| spl0_227
| spl0_3
| spl0_4
| spl0_1 ),
inference(rat,[],[s3161,s3178,s1941,s3793,s2660,s3783,s3071,s2880,s4408,s3819,s4409,s1942,s4410,s123,s2950,s2911,s3310,s5,s3887,s25,s65,s33,s2837,s3766,s4404,s3651,s2816,s1798,s3430,s4407,s2724,s4405,s2947,s4386,s3620,s4396,s439,s43,s4406,s1419,s2464,s60]) ).
cnf(s4412,plain,
( spl0_544
| spl0_609
| spl0_236
| spl0_9
| spl0_22
| ~ spl0_30
| ~ spl0_5
| ~ spl0_43
| spl0_21
| spl0_3
| spl0_4
| ~ spl0_39 ),
inference(rat,[],[s3710,s1941,s3313,s3759,s3793,s3783,s2880,s3458,s3716,s1419,s2464]) ).
cnf(s4413,plain,
( ~ spl0_424
| spl0_9
| spl0_13
| ~ spl0_44
| spl0_438
| ~ spl0_30
| ~ spl0_12
| ~ spl0_39 ),
inference(rat,[],[s3133,s3771,s2880,s3893,s3510]) ).
cnf(s4414,plain,
( spl0_227
| spl0_3
| spl0_4
| spl0_1 ),
inference(rat,[],[s3161,s3178,s1941,s3793,s2660,s3783,s3071,s2880,s4412,s3458,s4409,s1942,s4413,s123,s3310,s5,s4395,s16,s4411,s1798,s3430,s2816,s4407,s2947,s105,s33,s2724,s4405,s3766,s4404,s4386,s3620,s4396,s439,s4406,s43,s1419,s2464]) ).
cnf(s4415,plain,
( ~ spl0_22
| spl0_3
| spl0_4
| spl0_1 ),
inference(rat,[],[s1941,s3759,s2660,s3783,s4403,s4408,s4409,s1942,s4410,s123,s2911,s5,s2944,s3818,s3887,s3223,s25,s65,s33,s2837,s3669,s2816,s3274,s3097,s3128,s2822,s3621,s43,s2724,s4405,s3634,s4414,s3766,s3620,s439,s4406,s4396,s4404,s1419]) ).
cnf(s4416,plain,
( spl0_3
| spl0_4
| spl0_1 ),
inference(rat,[],[s3161,s3178,s1941,s3793,s2660,s3783,s2880,s3458,s4409,s123,s1942,s5,s4413,s4395,s16,s4415,s3274,s2816,s3097,s3128,s2434,s2822,s3621,s3634,s4414,s3766,s3620,s439,s4406,s2724,s4405,s33,s4404,s105,s4396,s43,s1419,s2464,s2326]) ).
cnf(s4417,plain,
( ~ spl0_8
| spl0_43
| spl0_4
| spl0_1 ),
inference(rat,[],[s3672,s4349,s441,s43,s4416]) ).
cnf(s4418,plain,
( spl0_43
| spl0_59
| spl0_4
| spl0_1 ),
inference(rat,[],[s3303,s2851,s2864,s3716,s1941,s3363,s3299,s2756,s33,s3187,s2790,s3122,s3179,s69,s3160,s1118,s3372,s104,s4417,s3156,s3866,s3387,s2764,s43,s561,s4416,s1419]) ).
cnf(s4419,plain,
( ~ spl0_16
| ~ spl0_43
| spl0_12
| ~ spl0_3
| spl0_1 ),
inference(rat,[],[s3128,s4350,s3387,s3274,s4086,s2981,s3089,s3672,s441,s3372,s69,s43,s2724]) ).
cnf(s4420,plain,
( spl0_12
| spl0_4
| spl0_1 ),
inference(rat,[],[s2851,s3598,s3366,s19,s4086,s3766,s3089,s2997,s101,s441,s1118,s3122,s2723,s12,s4419,s4418,s2829,s3528,s43,s561,s4416,s1419,s60]) ).
cnf(s4421,plain,
( spl0_4
| spl0_1 ),
inference(rat,[],[s4386,s24,s93,s96,s3688,s4420,s4416,s43]) ).
cnf(s4422,plain,
( spl0_3
| spl0_1 ),
inference(rat,[],[s3123,s2633,s2857,s1948,s3489,s3133,s3081,s3779,s3305,s3759,s441,s3083,s3828,s33,s3100,s3062,s3071,s3089,s2429,s2901,s1941,s2981,s2985,s16,s96,s2711,s2814,s3097,s4336,s4340,s2724,s4332,s105,s4326,s43,s4421,s1419,s2326]) ).
cnf(s4423,plain,
( spl0_43
| ~ spl0_17
| spl0_1 ),
inference(rat,[],[s2837,s2617,s93,s96,s2901,s4356,s3315,s1798,s2814,s3387,s2764,s43,s4421,s4422,s1419]) ).
cnf(s4424,plain,
( spl0_12
| spl0_1 ),
inference(rat,[],[s3089,s2981,s441,s2814,s1118,s2625,s3122,s2723,s12,s4419,s4423,s3528,s4421,s561,s4422,s60]) ).
cnf(s4425,plain,
spl0_1,
inference(rat,[],[s97,s509,s2837,s2746,s2594,s93,s96,s3688,s4424,s4422,s43,s186,s60]) ).
cnf(s4426,plain,
spl0_182,
inference(rat,[],[s1072,s4425]) ).
cnf(s4427,plain,
~ spl0_20,
inference(rat,[],[s68,s4425]) ).
cnf(s4428,plain,
( ~ spl0_455
| spl0_44
| ~ spl0_24
| spl0_13
| spl0_49
| ~ spl0_251
| ~ spl0_58
| ~ spl0_22
| ~ spl0_37
| spl0_43
| spl0_3
| spl0_4 ),
inference(rat,[],[s1948,s3339,s2879,s3427,s2934,s3374,s3371,s3213,s3548,s3522,s3187,s3197,s1941,s4215,s3651,s3838,s3767,s3180,s3827,s2435,s3713,s3733,s3613,s3028,s3559,s2765,s3036,s1419,s2326,s4425,s60]) ).
cnf(s4429,plain,
( ~ spl0_570
| ~ spl0_8
| ~ spl0_39
| ~ spl0_16
| spl0_43
| spl0_3 ),
inference(rat,[],[s3083,s2839,s2429,s3254,s3799,s3780,s3698,s4367,s3245,s4216,s3546,s2824,s3217,s503,s3731,s4319,s4300,s3317,s441,s3036,s3870,s3137,s3551,s3559,s2326,s3359,s4425]) ).
cnf(s4430,plain,
( ~ spl0_8
| ~ spl0_39
| ~ spl0_58
| ~ spl0_16
| spl0_43
| spl0_3
| spl0_4 ),
inference(rat,[],[s1942,s3893,s3177,s3017,s1941,s3374,s4377,s3332,s3651,s4217,s4237,s2435,s3375,s3613,s4428,s3028,s3543,s4429,s2765,s19,s4300,s4319,s3036,s3217,s3317,s3870,s503,s441,s2722,s3137,s3551,s3559,s63,s3731,s1419,s2326,s60,s2464,s4425]) ).
cnf(s4431,plain,
( spl0_19
| spl0_44
| ~ spl0_39
| ~ spl0_16
| spl0_43
| spl0_12
| spl0_3
| spl0_4 ),
inference(rat,[],[s3651,s4361,s4371,s3528,s3137,s3551,s3559,s4430,s102,s65,s3731,s60,s4425]) ).
cnf(s4432,plain,
( ~ spl0_19
| spl0_8
| ~ spl0_39
| ~ spl0_58
| ~ spl0_22
| ~ spl0_37
| spl0_43
| spl0_3
| spl0_4 ),
inference(rat,[],[s3177,s1942,s3783,s3234,s3771,s3548,s2756,s4369,s2633,s2911,s4363,s3459,s4386,s2837,s3137,s3551,s3559,s439,s2765,s104,s1419,s4425]) ).
cnf(s4433,plain,
( ~ spl0_39
| ~ spl0_16
| spl0_43
| spl0_12
| spl0_3
| spl0_4 ),
inference(rat,[],[s3871,s2756,s3430,s4369,s2633,s4431,s4365,s4432,s2765,s104,s4430,s3137,s3551,s3559,s63,s102,s65,s3731,s4425]) ).
cnf(s4434,plain,
( spl0_19
| ~ spl0_8
| spl0_39
| ~ spl0_58
| ~ spl0_16
| spl0_43
| spl0_3
| spl0_4 ),
inference(rat,[],[s3083,s2839,s2429,s3254,s3554,s3799,s3698,s3245,s4216,s3546,s3543,s4428,s3214,s19,s93,s2824,s63,s3731,s3835,s2765,s3036,s3870,s3137,s3551,s3559,s2326,s3359,s2464,s4427,s4425]) ).
cnf(s4435,plain,
( ~ spl0_8
| ~ spl0_16
| spl0_43
| spl0_12
| spl0_3
| spl0_4 ),
inference(rat,[],[s2435,s3827,s3713,s3613,s3219,s3028,s3543,s4216,s2954,s1239,s3459,s48,s4434,s3835,s2765,s3036,s3870,s503,s2824,s3137,s3551,s3559,s102,s65,s3731,s4433,s2326,s4425,s2464]) ).
cnf(s4436,plain,
( ~ spl0_569
| spl0_439
| ~ spl0_451
| spl0_13
| ~ spl0_24
| ~ spl0_58
| spl0_43
| spl0_3
| spl0_4 ),
inference(rat,[],[s3017,s1941,s4377,s4215,s3551,s1419,s4425]) ).
cnf(s4437,plain,
( ~ spl0_422
| ~ spl0_425
| spl0_582
| ~ spl0_244 ),
inference(rat,[],[s3100,s3562]) ).
cnf(s4438,plain,
( ~ spl0_430
| ~ spl0_444
| ~ spl0_251
| spl0_465
| ~ spl0_425
| ~ spl0_544
| spl0_44
| spl0_438 ),
inference(rat,[],[s2435,s3613,s3827,s3869,s2879,s3858,s2326]) ).
cnf(s4439,plain,
( ~ spl0_622
| spl0_465
| ~ spl0_544
| ~ spl0_22 ),
inference(rat,[],[s3427,s2934]) ).
cnf(s4440,plain,
( spl0_19
| spl0_44
| ~ spl0_16
| spl0_43
| spl0_12
| spl0_3
| spl0_4 ),
inference(rat,[],[s4438,s3546,s1948,s3543,s2966,s4428,s2864,s4239,s4439,s3347,s4436,s2909,s3234,s1942,s3177,s4370,s3374,s3213,s3548,s4369,s2633,s4365,s3214,s19,s93,s3528,s3137,s3551,s3559,s63,s102,s65,s3731,s2765,s104,s4435,s1419,s2464,s2326,s4427,s4425,s60]) ).
cnf(s4441,plain,
( spl0_544
| ~ spl0_198
| spl0_43
| spl0_3 ),
inference(rat,[],[s3177,s1942,s3796,s3891,s3137,s3551,s3559,s1419,s4425]) ).
cnf(s4442,plain,
( spl0_613
| spl0_439
| ~ spl0_544
| spl0_438
| ~ spl0_5
| ~ spl0_22
| ~ spl0_37
| ~ spl0_255
| ~ spl0_236
| spl0_4 ),
inference(rat,[],[s3197,s3155,s1941,s2633,s3303,s3371,s2864,s2799,s4439,s2135,s3783,s3305,s3177,s1942,s3234,s2851,s2911,s1419,s2326,s4427]) ).
cnf(s4443,plain,
( ~ spl0_16
| spl0_43
| spl0_12
| spl0_3
| spl0_4 ),
inference(rat,[],[s3347,s4239,s4436,s3430,s2633,s4440,s4365,s3214,s19,s3459,s4442,s3548,s4441,s2765,s2397,s104,s439,s4435,s102,s65,s3731,s63,s3528,s3137,s3551,s3559,s4427,s4425,s4426,s60]) ).
cnf(s4444,plain,
( spl0_544
| spl0_39
| ~ spl0_37
| ~ spl0_8
| spl0_43
| ~ spl0_17
| spl0_3 ),
inference(rat,[],[s3563,s2067,s3521,s4369,s3716,s4287,s3036,s3870,s3137,s3551,s3559,s4425]) ).
cnf(s4445,plain,
( ~ spl0_8
| spl0_43
| spl0_12
| spl0_3
| spl0_4 ),
inference(rat,[],[s4370,s3563,s3793,s3376,s3374,s3213,s3548,s4444,s42,s102,s25,s65,s3730,s19,s37,s93,s3766,s3046,s101,s3528,s3551,s13,s4443,s2464,s2326,s4425,s60]) ).
cnf(s4446,plain,
( spl0_19
| ~ spl0_22
| spl0_43
| spl0_12
| spl0_3
| spl0_4 ),
inference(rat,[],[s3347,s2862,s4436,s3363,s2633,s4442,s4365,s3214,s19,s37,s3137,s3551,s3559,s33,s4443,s439,s2765,s104,s3548,s102,s65,s4441,s2397,s4445,s4427,s4426,s4425]) ).
cnf(s4447,plain,
( spl0_455
| ~ spl0_621
| spl0_435
| ~ spl0_422
| ~ spl0_423
| ~ spl0_623
| spl0_438 ),
inference(rat,[],[s4284,s1948,s2435,s2966,s3518,s1419,s2326]) ).
cnf(s4448,plain,
( ~ spl0_22
| spl0_43
| spl0_12
| spl0_3
| spl0_4 ),
inference(rat,[],[s3713,s3242,s3028,s4447,s2864,s4439,s3783,s3305,s1941,s3177,s4215,s1942,s3651,s3234,s3634,s2954,s2911,s3766,s3459,s4446,s3548,s102,s65,s3137,s3551,s3559,s4443,s439,s2765,s104,s4441,s2397,s4445,s4425,s4427,s1419,s60,s4426]) ).
cnf(s4449,plain,
( spl0_43
| spl0_12
| spl0_3
| spl0_4 ),
inference(rat,[],[s2851,s3459,s3597,s3730,s4448,s3137,s3551,s3559,s1419,s4425]) ).
cnf(s4450,plain,
( spl0_227
| ~ spl0_425
| spl0_544
| ~ spl0_16
| ~ spl0_8
| spl0_19 ),
inference(rat,[],[s1942,s3038,s3177,s3870,s4347,s2947,s93,s3214,s1419,s4427]) ).
cnf(s4451,plain,
( ~ spl0_227
| ~ spl0_22
| ~ spl0_43
| spl0_12 ),
inference(rat,[],[s3818,s3712]) ).
cnf(s4452,plain,
( spl0_544
| ~ spl0_16
| ~ spl0_8
| spl0_19
| spl0_227
| spl0_3 ),
inference(rat,[],[s4450,s3521,s4425]) ).
cnf(s4453,plain,
( ~ spl0_570
| ~ spl0_39
| ~ spl0_465
| ~ spl0_425
| spl0_583
| spl0_9
| ~ spl0_16
| spl0_19 ),
inference(rat,[],[s1947,s3096,s3815,s3837,s3245,s3545,s93,s3214,s1419,s4427]) ).
cnf(s4454,plain,
( ~ spl0_16
| ~ spl0_8
| spl0_19
| spl0_227
| ~ spl0_58
| ~ spl0_43
| spl0_3
| spl0_4 ),
inference(rat,[],[s3823,s2435,s3780,s3613,s3028,s3543,s4453,s3563,s4437,s3759,s3072,s1941,s3332,s3374,s3213,s3548,s3186,s4452,s2723,s3870,s3446,s4347,s2724,s3651,s3214,s2947,s93,s1257,s18,s19,s2326,s4425,s2464,s1419,s4427,s60]) ).
cnf(s4455,plain,
( spl0_544
| ~ spl0_255
| ~ spl0_251
| spl0_438
| spl0_3 ),
inference(rat,[],[s1942,s3177,s3038,s3521,s1419,s4425]) ).
cnf(s4456,plain,
( ~ spl0_8
| spl0_19
| ~ spl0_22
| spl0_12
| spl0_3
| spl0_4 ),
inference(rat,[],[s3563,s4437,s3793,s1941,s3376,s3332,s3374,s3213,s3548,s4455,s3125,s3835,s3385,s3046,s2836,s4454,s3528,s102,s65,s3651,s3214,s2947,s93,s1257,s4451,s4449,s18,s19,s2464,s1419,s2326,s4427,s60]) ).
cnf(s4457,plain,
( ~ spl0_582
| ~ spl0_439
| spl0_39
| spl0_544
| spl0_21
| ~ spl0_37
| ~ spl0_17 ),
inference(rat,[],[s3325,s3793,s3425,s3563,s3420,s3716,s2464]) ).
cnf(s4458,plain,
( ~ spl0_613
| spl0_251
| ~ spl0_22
| ~ spl0_43 ),
inference(rat,[],[s3887,s2936]) ).
cnf(s4460,plain,
( spl0_608
| spl0_544
| spl0_3 ),
inference(rat,[],[s3816,s2848,s1947,s3810,s3713,s3780,s3521,s1419,s4425]) ).
cnf(s4461,plain,
( spl0_544
| ~ spl0_252
| ~ spl0_255
| ~ spl0_16
| spl0_438
| spl0_13
| ~ spl0_58
| ~ spl0_22
| ~ spl0_43
| spl0_3 ),
inference(rat,[],[s3241,s2435,s3546,s3518,s3543,s3028,s4460,s2911,s4458,s4455,s2326,s2464,s1419]) ).
cnf(s4462,plain,
( ~ spl0_544
| spl0_8
| ~ spl0_244
| spl0_13
| ~ spl0_24
| ~ spl0_37
| spl0_49
| ~ spl0_569
| ~ spl0_22
| spl0_12
| spl0_4 ),
inference(rat,[],[s1941,s4437,s3332,s3374,s4375,s3548,s102,s65,s1419,s2326]) ).
cnf(s4463,plain,
( ~ spl0_16
| spl0_544
| spl0_438
| spl0_13
| spl0_227
| ~ spl0_58
| ~ spl0_22
| ~ spl0_43
| spl0_3 ),
inference(rat,[],[s2795,s4461,s3446,s4347,s2724,s3651,s60]) ).
cnf(s4464,plain,
( spl0_251
| spl0_455
| ~ spl0_608
| spl0_438
| ~ spl0_22
| ~ spl0_43 ),
inference(rat,[],[s3782,s3074,s2435,s3518,s2911,s4458,s2326,s1419]) ).
cnf(s4465,plain,
( spl0_19
| ~ spl0_22
| spl0_12
| spl0_3
| spl0_4 ),
inference(rat,[],[s3125,s4455,s3430,s4464,s3028,s4460,s4462,s4456,s1257,s2947,s18,s3214,s19,s37,s93,s102,s65,s3651,s4451,s4449,s4427,s60]) ).
cnf(s4466,plain,
( ~ spl0_8
| spl0_544
| spl0_6
| ~ spl0_19
| spl0_227
| ~ spl0_58
| ~ spl0_22
| ~ spl0_43
| ~ spl0_17
| spl0_3 ),
inference(rat,[],[s3547,s3835,s2950,s4464,s4463,s2947,s91,s3317,s3046,s503,s441,s3651,s3405,s2629,s3493,s3028,s4460,s4425,s60]) ).
cnf(s4467,plain,
( spl0_438
| spl0_8
| spl0_455
| spl0_544
| ~ spl0_22
| ~ spl0_43
| spl0_3
| spl0_4 ),
inference(rat,[],[s3125,s3621,s4455,s3430,s2822,s4464,s4460,s439]) ).
cnf(s4468,plain,
( spl0_544
| ~ spl0_22
| spl0_12
| spl0_3
| spl0_4 ),
inference(rat,[],[s91,s2766,s2947,s4467,s4466,s3028,s2629,s4460,s3493,s3528,s102,s65,s4451,s4449,s48,s4465,s4427,s4425,s60]) ).
cnf(s4469,plain,
( spl0_13
| spl0_435
| spl0_39
| ~ spl0_16
| spl0_612
| spl0_439
| ~ spl0_544
| ~ spl0_569
| ~ spl0_43 ),
inference(rat,[],[s3563,s3759,s3562,s3072,s1941,s3332,s3471,s1419]) ).
cnf(s4470,plain,
( ~ spl0_613
| spl0_438
| ~ spl0_8
| ~ spl0_19
| ~ spl0_22
| ~ spl0_43 ),
inference(rat,[],[s3835,s3547,s4458,s503,s3317,s441,s3405]) ).
cnf(s4471,plain,
( spl0_13
| spl0_39
| ~ spl0_16
| spl0_36
| spl0_612
| spl0_439
| ~ spl0_544
| ~ spl0_19
| ~ spl0_569
| ~ spl0_43 ),
inference(rat,[],[s3213,s1239,s4469,s3446]) ).
cnf(s4472,plain,
( ~ spl0_8
| spl0_439
| ~ spl0_544
| spl0_6
| ~ spl0_19
| spl0_227
| ~ spl0_22
| ~ spl0_43
| ~ spl0_17
| spl0_3 ),
inference(rat,[],[s91,s2511,s2947,s4470,s2950,s4471,s3317,s1850,s3046,s503,s3024,s441,s3651,s3405,s4425,s60]) ).
cnf(s4475,plain,
( ~ spl0_438
| spl0_597
| ~ spl0_544
| spl0_227
| ~ spl0_22 ),
inference(rat,[],[s2125,s1941,s2799,s3272,s2947,s1419]) ).
cnf(s4476,plain,
( spl0_251
| spl0_438
| spl0_439
| ~ spl0_544
| ~ spl0_22
| ~ spl0_43 ),
inference(rat,[],[s3234,s2911,s1942,s4458,s4409,s1419]) ).
cnf(s4477,plain,
( ~ spl0_22
| spl0_12
| spl0_3
| spl0_4 ),
inference(rat,[],[s3759,s3783,s3072,s3177,s1941,s1942,s3332,s3234,s2950,s2911,s3459,s3125,s3621,s3430,s2822,s4476,s4475,s439,s4472,s4330,s3548,s4468,s48,s3676,s4465,s3651,s4451,s102,s65,s3528,s4449,s1419,s60]) ).
cnf(s4478,plain,
( spl0_544
| spl0_22
| spl0_3 ),
inference(rat,[],[s2880,s3521,s3458,s2775,s3764,s3730,s4425]) ).
cnf(s4481,plain,
( spl0_36
| spl0_499
| spl0_447
| spl0_455
| ~ spl0_44
| ~ spl0_425
| spl0_609
| ~ spl0_422
| spl0_435
| spl0_39
| ~ spl0_619
| spl0_438
| ~ spl0_19
| ~ spl0_43 ),
inference(rat,[],[s3816,s2848,s1947,s3096,s3554,s3828,s2429,s3802,s3286,s3218,s3524,s3612,s2435,s2218,s1948,s2966,s2864,s3216,s3563,s3759,s1419,s2326,s2733]) ).
cnf(s4482,plain,
( spl0_455
| ~ spl0_44
| ~ spl0_369
| ~ spl0_425
| ~ spl0_422
| spl0_435
| spl0_39
| ~ spl0_619
| spl0_438
| spl0_22
| ~ spl0_43
| spl0_3 ),
inference(rat,[],[s3816,s2848,s1947,s3096,s3554,s3828,s2429,s3802,s3286,s3235,s3612,s2435,s2218,s1948,s2966,s2864,s2935,s4481,s2801,s3245,s3507,s3543,s96,s3730,s3759,s3072,s4478,s1419,s2326,s2733,s2464,s4425]) ).
cnf(s4484,plain,
( ~ spl0_439
| ~ spl0_619
| ~ spl0_544
| ~ spl0_5
| ~ spl0_507
| ~ spl0_43
| ~ spl0_17
| spl0_4 ),
inference(rat,[],[s3460,s3072,s1941,s3303,s2864,s3298,s3659,s3793,s3783,s3305,s2923,s1419,s2464,s4427]) ).
cnf(s4485,plain,
( ~ spl0_569
| spl0_438
| spl0_12
| spl0_3
| spl0_4 ),
inference(rat,[],[s3074,s2435,s3091,s3612,s3713,s3242,s4482,s2625,s3187,s3207,s2909,s3234,s1942,s4409,s2434,s2822,s3312,s3621,s2756,s4437,s2633,s3489,s3783,s3759,s3072,s1941,s3332,s3213,s4484,s3021,s2477,s4449,s96,s2775,s3764,s3676,s3,s13,s16,s104,s3046,s3731,s48,s3730,s3528,s4478,s4477,s2326,s4425,s1419,s60]) ).
cnf(s4486,plain,
( spl0_438
| spl0_12
| spl0_3
| spl0_4 ),
inference(rat,[],[s3234,s2911,s1942,s4239,s4409,s2923,s2822,s1952,s3621,s3072,s3634,s3712,s3347,s4485,s3528,s4449,s2775,s3764,s3676,s1078,s2427,s3,s13,s3731,s48,s3730,s4478,s4477,s1419,s4425,s60]) ).
cnf(s4487,plain,
( spl0_12
| spl0_3
| spl0_4 ),
inference(rat,[],[s3634,s3274,s2947,s4486,s2775,s3730,s3764,s96,s4477,s4425,s4427]) ).
cnf(s4489,plain,
( spl0_19
| ~ spl0_255
| spl0_438
| ~ spl0_562
| ~ spl0_236
| ~ spl0_12
| spl0_4 ),
inference(rat,[],[s2911,s3865,s3363,s3870,s33,s2862,s439,s46,s3558,s3620,s3214,s1419,s4425,s4427]) ).
cnf(s4490,plain,
( spl0_43
| spl0_3
| spl0_4 ),
inference(rat,[],[s3634,s3766,s3635,s46,s2954,s3459,s4489,s3137,s2765,s2431,s3551,s3559,s2824,s105,s4487,s4425,s2326,s4426]) ).
cnf(s4491,plain,
( spl0_227
| ~ spl0_621
| spl0_612
| ~ spl0_15
| spl0_435
| ~ spl0_451 ),
inference(rat,[],[s2999,s1941,s1257,s3329,s1419]) ).
cnf(s4492,plain,
( spl0_19
| spl0_544
| spl0_438
| ~ spl0_22
| spl0_3
| spl0_4 ),
inference(rat,[],[s4458,s4258,s2851,s3598,s3834,s4491,s2864,s3299,s3024,s3798,s33,s439,s3819,s46,s18,s3620,s3214,s19,s4490,s3522,s3716,s105,s4487,s1419,s4425,s4427]) ).
cnf(s4493,plain,
( spl0_13
| ~ spl0_19
| ~ spl0_425
| spl0_544
| ~ spl0_12 ),
inference(rat,[],[s2880,s3766,s3819,s46,s4425]) ).
cnf(s4494,plain,
( ~ spl0_613
| ~ spl0_19
| spl0_438
| ~ spl0_22
| ~ spl0_43 ),
inference(rat,[],[s3832,s3430,s4470,s3233,s4458,s2724]) ).
cnf(s4495,plain,
( spl0_544
| spl0_438
| ~ spl0_22
| spl0_3
| spl0_4 ),
inference(rat,[],[s3017,s3100,s1941,s2981,s3727,s3244,s3554,s3474,s3476,s2942,s2930,s2435,s3217,s3782,s4403,s3859,s3669,s4464,s3347,s3865,s2950,s2911,s4494,s4493,s4492,s4460,s3521,s3522,s4487,s4490,s1419,s2326,s4425]) ).
cnf(s4496,plain,
( spl0_227
| ~ spl0_8
| ~ spl0_15
| spl0_19
| ~ spl0_22
| ~ spl0_43
| ~ spl0_12 ),
inference(rat,[],[s3403,s3681,s4458,s3385,s2822,s2432,s1257,s3635,s3558,s3651,s93,s37,s3214,s2326,s4426,s60,s4427]) ).
cnf(s4497,plain,
( spl0_19
| spl0_438
| ~ spl0_22
| spl0_3
| spl0_4 ),
inference(rat,[],[s4306,s1951,s3374,s3188,s3337,s3317,s3835,s4458,s4302,s2851,s3598,s2988,s4496,s441,s45,s2394,s33,s439,s10,s46,s18,s3620,s3214,s19,s1078,s1075,s4487,s4490,s65,s4495,s1419,s2326,s4425,s4427]) ).
cnf(s4498,plain,
( spl0_227
| spl0_438
| ~ spl0_22
| spl0_3
| spl0_4 ),
inference(rat,[],[s3759,s3072,s1941,s3329,s2864,s4439,s3783,s439,s3870,s3125,s1951,s4410,s3556,s3766,s46,s3212,s2950,s2980,s3651,s1078,s1075,s1942,s4409,s3238,s4476,s3865,s2911,s4494,s4487,s4495,s4490,s4497,s1419,s4425,s60]) ).
cnf(s4499,plain,
( spl0_16
| ~ spl0_227
| spl0_583
| ~ spl0_439
| spl0_423
| ~ spl0_45
| ~ spl0_43
| ~ spl0_188 ),
inference(rat,[],[s1951,s2988,s3556,s2394,s1419]) ).
cnf(s4500,plain,
( ~ spl0_244
| spl0_438
| ~ spl0_22
| spl0_3
| spl0_4 ),
inference(rat,[],[s3758,s1948,s2045,s3246,s4464,s3554,s3780,s3828,s2839,s3100,s2429,s1941,s2985,s3727,s3212,s3489,s3216,s4403,s3783,s439,s1236,s3385,s2893,s3818,s3669,s2625,s3128,s3908,s2724,s4439,s2927,s46,s4499,s4498,s3238,s4476,s65,s1078,s1075,s1942,s4409,s3865,s2911,s4494,s4497,s4487,s4490,s4495,s1419,s4427,s4425,s2326]) ).
cnf(s4501,plain,
( spl0_438
| ~ spl0_22
| spl0_3
| spl0_4 ),
inference(rat,[],[s3216,s3563,s4403,s3212,s1951,s2981,s4500,s4439,s3128,s2927,s3908,s46,s4499,s3669,s4498,s3238,s1942,s4476,s4409,s3865,s2911,s4494,s4497,s4495,s1078,s1075,s4487,s2724,s4490,s65,s1419,s4425]) ).
cnf(s4502,plain,
( spl0_19
| ~ spl0_438
| ~ spl0_45
| ~ spl0_43
| ~ spl0_12 ),
inference(rat,[],[s2394,s2988,s46,s2947,s3214,s93,s3274,s4425,s4427]) ).
cnf(s4503,plain,
( spl0_13
| ~ spl0_438
| ~ spl0_22
| ~ spl0_43
| ~ spl0_12 ),
inference(rat,[],[s1244,s2822,s1438,s3635,s2947,s2988,s2394,s46,s3274,s4502,s65,s1419,s4425,s4427]) ).
cnf(s4504,plain,
( spl0_227
| ~ spl0_13
| ~ spl0_19
| ~ spl0_438
| ~ spl0_22
| ~ spl0_43 ),
inference(rat,[],[s2435,s2621,s2584,s83,s2541,s98,s106,s2936,s2749,s2950,s2947,s3651,s3274,s2326,s4425,s4427,s60]) ).
cnf(s4505,plain,
( spl0_544
| ~ spl0_425
| ~ spl0_438
| spl0_3 ),
inference(rat,[],[s3017,s3100,s1941,s3272,s3522,s2719,s3274,s1419,s4425,s4427]) ).
cnf(s4506,plain,
( ~ spl0_439
| ~ spl0_544
| ~ spl0_425
| ~ spl0_13
| ~ spl0_19
| ~ spl0_438
| ~ spl0_22
| ~ spl0_43 ),
inference(rat,[],[s2125,s2071,s3245,s3543,s3758,s1948,s2045,s3246,s3554,s3828,s2839,s2429,s2985,s3212,s3100,s3489,s1941,s3216,s4439,s3272,s2927,s2893,s1942,s3182,s3818,s441,s3692,s2988,s3274,s3217,s4403,s3669,s4504,s2464,s1419,s4427,s2326]) ).
cnf(s4507,plain,
( ~ spl0_22
| spl0_3
| spl0_4 ),
inference(rat,[],[s2125,s2071,s3213,s3489,s1941,s3216,s4439,s3272,s2928,s2885,s4506,s4505,s4403,s4401,s439,s441,s3692,s2988,s3669,s3818,s4504,s4503,s4502,s3274,s4501,s65,s4487,s4490,s1419,s2326,s4427]) ).
cnf(s4508,plain,
( ~ spl0_422
| spl0_465
| ~ spl0_544
| ~ spl0_43 ),
inference(rat,[],[s3759,s3072]) ).
cnf(s4509,plain,
( spl0_455
| ~ spl0_623
| spl0_251
| spl0_438
| spl0_22
| ~ spl0_43
| spl0_3 ),
inference(rat,[],[s3782,s3074,s2435,s3518,s3507,s2326]) ).
cnf(s4510,plain,
( spl0_425
| ~ spl0_244
| spl0_438
| spl0_3
| spl0_4 ),
inference(rat,[],[s3869,s3858,s1948,s2675,s3301,s3797,s2857,s3554,s3162,s3370,s1947,s2045,s3809,s3713,s3765,s3219,s4509,s3422,s3303,s1941,s4508,s3783,s2911,s439,s3459,s3681,s3125,s3128,s3510,s2040,s2724,s3731,s3021,s3651,s2434,s3385,s3212,s1942,s4409,s2822,s3635,s16,s105,s4487,s4478,s4490,s2980,s3634,s2775,s3764,s3730,s4507,s1419,s4427,s4425,s2499,s2326,s60]) ).
cnf(s4511,plain,
( ~ spl0_244
| spl0_438
| spl0_3
| spl0_4 ),
inference(rat,[],[s1941,s4508,s3332,s3133,s2880,s4510,s3651,s3634,s4490,s4478,s16,s105,s4487,s2775,s3764,s3730,s4507,s1419,s60,s4425]) ).
cnf(s4515,plain,
( spl0_465
| spl0_626 ),
inference(rat,[],[s3793,s2464]) ).
cnf(s4517,plain,
( spl0_22
| spl0_28
| spl0_3 ),
inference(rat,[],[s3764,s4425]) ).
cnf(s4523,plain,
( ~ spl0_16
| spl0_22
| spl0_3 ),
inference(rat,[],[s3731,s4425]) ).
cnf(s4524,plain,
( spl0_22
| spl0_19
| spl0_3 ),
inference(rat,[],[s3730,s4425]) ).
cnf(s4536,plain,
( spl0_227
| spl0_569 ),
inference(rat,[],[s3651,s60]) ).
cnf(s4547,plain,
( spl0_12
| spl0_17 ),
inference(rat,[],[s3528,s60]) ).
cnf(s4559,plain,
( spl0_439
| ~ spl0_24
| spl0_4
| spl0_425 ),
inference(rat,[],[s3374,s2326]) ).
cnf(s4560,plain,
( spl0_8
| ~ spl0_3 ),
inference(rat,[],[s3372,s4427]) ).
cnf(s4561,plain,
( ~ spl0_582
| spl0_622
| spl0_49
| ~ spl0_37
| spl0_439 ),
inference(rat,[],[s3371,s2326]) ).
cnf(s4564,plain,
( ~ spl0_435
| spl0_425 ),
inference(rat,[],[s3305,s4427]) ).
cnf(s4568,plain,
( ~ spl0_438
| spl0_244 ),
inference(rat,[],[s3274,s4427]) ).
cnf(s4571,plain,
( ~ spl0_13
| spl0_19 ),
inference(rat,[],[s3214,s4427]) ).
cnf(s4585,plain,
( ~ spl0_375
| ~ spl0_423
| ~ spl0_13
| spl0_597 ),
inference(rat,[],[s2956,s2326]) ).
cnf(s4588,plain,
( spl0_622
| spl0_439
| ~ spl0_13 ),
inference(rat,[],[s2928,s2326]) ).
cnf(s4591,plain,
( spl0_613
| spl0_623 ),
inference(rat,[],[s2911,s1419]) ).
cnf(s4596,plain,
( spl0_613
| spl0_619 ),
inference(rat,[],[s2851,s1419]) ).
cnf(s4603,plain,
( ~ spl0_126
| spl0_44
| spl0_227 ),
inference(rat,[],[s2736,s2326,s1419]) ).
cnf(s4634,plain,
( ~ spl0_421
| ~ spl0_141
| spl0_244
| spl0_425 ),
inference(rat,[],[s2662,s2464,s4426]) ).
cnf(s4696,plain,
( spl0_500
| spl0_564 ),
inference(rat,[],[s2435,s2326]) ).
cnf(s4766,plain,
( spl0_422
| spl0_425
| spl0_244
| ~ spl0_188 ),
inference(rat,[],[s1952,s1419]) ).
cnf(s4767,plain,
( spl0_425
| spl0_423
| ~ spl0_188
| spl0_244 ),
inference(rat,[],[s1951,s1419]) ).
cnf(s4770,plain,
( spl0_430
| spl0_431 ),
inference(rat,[],[s1948,s1419]) ).
cnf(s4776,plain,
( spl0_423
| spl0_424 ),
inference(rat,[],[s1942,s1419]) ).
cnf(s4777,plain,
( spl0_421
| spl0_422 ),
inference(rat,[],[s1941,s1419]) ).
cnf(s4931,plain,
( ~ spl0_252
| ~ spl0_49
| ~ spl0_22
| ~ spl0_19 ),
inference(rat,[],[s1438,s1419]) ).
cnf(s5026,plain,
( spl0_188
| ~ spl0_186 ),
inference(rat,[],[s1078,s4425]) ).
cnf(s5153,plain,
( spl0_17
| ~ spl0_127 ),
inference(rat,[],[s582,s60]) ).
cnf(s5249,plain,
( ~ spl0_4
| spl0_21 ),
inference(rat,[],[s89,s4425]) ).
cnf(s5265,plain,
( ~ spl0_438
| ~ spl0_6
| spl0_43 ),
inference(rat,[],[s4295,s4427]) ).
cnf(s5272,plain,
( spl0_227
| spl0_244
| ~ spl0_30
| spl0_13
| ~ spl0_544
| ~ spl0_43
| ~ spl0_12 ),
inference(rat,[],[s4777,s4508,s3332,s3133,s2880,s4767,s4409,s2822,s3635,s4536,s5026,s1075]) ).
cnf(s5273,plain,
( spl0_425
| ~ spl0_227
| spl0_244
| spl0_438
| spl0_13
| ~ spl0_544
| ~ spl0_43
| ~ spl0_12 ),
inference(rat,[],[s4306,s2909,s3133,s3865,s4508,s4409,s4766,s4767,s5026,s1075]) ).
cnf(s5274,plain,
( ~ spl0_622
| spl0_582
| ~ spl0_425
| ~ spl0_19 ),
inference(rat,[],[s3216,s2935]) ).
cnf(s5275,plain,
( spl0_455
| ~ spl0_621
| spl0_435
| spl0_465
| spl0_22
| spl0_3 ),
inference(rat,[],[s3869,s3858,s4770,s2966,s3507,s4478]) ).
cnf(s5276,plain,
( spl0_438
| spl0_3
| spl0_4 ),
inference(rat,[],[s3612,s4696,s3765,s4237,s3219,s5275,s2864,s5274,s4302,s2909,s3234,s4776,s4409,s2822,s3621,s439,s3183,s3679,s4777,s3376,s4508,s4515,s3213,s3133,s2880,s5273,s5272,s4511,s4490,s96,s4523,s4478,s16,s105,s4487,s2775,s4517,s4524,s4507]) ).
cnf(s5277,plain,
( spl0_3
| spl0_4 ),
inference(rat,[],[s3634,s2947,s4568,s5276,s2775,s4524,s4517,s96,s4507]) ).
cnf(s5278,plain,
( ~ spl0_16
| spl0_19
| spl0_43
| spl0_4 ),
inference(rat,[],[s4346,s4347,s3870,s4571,s4547,s4345,s3688,s93,s4560,s3387,s2764,s5277]) ).
cnf(s5279,plain,
( spl0_19
| spl0_43
| spl0_4 ),
inference(rat,[],[s3598,s4596,s3016,s3366,s3046,s2997,s5278,s4547,s3688,s19,s93,s4560,s1798,s3387,s2764,s5277]) ).
cnf(s5280,plain,
( spl0_465
| spl0_244
| ~ spl0_138
| ~ spl0_613
| ~ spl0_13
| ~ spl0_141
| ~ spl0_17
| spl0_375
| ~ spl0_8 ),
inference(rat,[],[s4634,s2067,s4777,s3425,s3205,s4588,s3659,s4515]) ).
cnf(s5281,plain,
( ~ spl0_597
| ~ spl0_507 ),
inference(rat,[],[s4330,s2719]) ).
cnf(s5282,plain,
( ~ spl0_244
| spl0_438
| ~ spl0_19
| spl0_251
| ~ spl0_22
| ~ spl0_3 ),
inference(rat,[],[s3908,s13,s4591,s3688,s3233,s4931,s4,s3125,s1244,s3385,s3870,s4560]) ).
cnf(s5283,plain,
( spl0_12
| spl0_244
| spl0_438
| ~ spl0_19
| spl0_375
| spl0_251
| spl0_465
| spl0_4 ),
inference(rat,[],[s5280,s3368,s4347,s2909,s3669,s3909,s588,s3046,s3280,s2995,s48,s4345,s4547,s1798,s3870,s4560,s5277]) ).
cnf(s5284,plain,
( spl0_438
| spl0_43
| ~ spl0_22
| spl0_4 ),
inference(rat,[],[s4766,s3920,s2071,s5026,s3688,s1075,s5283,s5282,s2135,s3142,s5281,s3692,s441,s4560,s1827,s3387,s2764,s5277,s5279]) ).
cnf(s5285,plain,
( spl0_43
| ~ spl0_22
| spl0_4 ),
inference(rat,[],[s4346,s2947,s13,s5153,s3920,s4,s105,s3005,s3125,s4777,s5265,s2765,s4568,s3272,s5284,s3870,s1827,s3387,s2764,s5281,s3692,s441,s4560,s5277]) ).
cnf(s5286,plain,
( ~ spl0_244
| ~ spl0_43
| ~ spl0_22
| ~ spl0_3 ),
inference(rat,[],[s4931,s93,s3688,s13,s4347,s4,s2950,s1244,s3385,s3870,s4458,s3387,s2980,s4536,s2988,s3692,s441,s4560]) ).
cnf(s5287,plain,
( ~ spl0_22
| spl0_4 ),
inference(rat,[],[s4766,s3920,s2071,s5026,s3688,s1075,s5283,s19,s3598,s4596,s4458,s3387,s4071,s4568,s2981,s5286,s5285,s2135,s3142,s5281,s3692,s441,s4560,s5277]) ).
cnf(s5288,plain,
( spl0_43
| spl0_4 ),
inference(rat,[],[s4777,s3710,s3205,s4585,s3213,s4588,s4776,s3659,s3893,s3183,s3368,s3785,s4515,s2954,s2947,s3142,s4347,s4346,s1236,s5281,s4345,s3870,s3766,s48,s3676,s3387,s5279,s2764,s4547,s101,s3688,s96,s5287,s4560,s5277]) ).
cnf(s5289,plain,
( spl0_227
| spl0_13
| ~ spl0_244
| spl0_4 ),
inference(rat,[],[s3046,s4347,s3385,s3870,s3387,s2980,s4560,s4547,s3688,s96,s5287,s5277]) ).
cnf(s5290,plain,
( ~ spl0_251
| spl0_19
| ~ spl0_244
| spl0_4 ),
inference(rat,[],[s4559,s2067,s3142,s4457,s4287,s2719,s3072,s3562,s4777,s3727,s3387,s3036,s4547,s3024,s4560,s37,s19,s3071,s3712,s5289,s4571,s3688,s96,s5287,s5277,s5288]) ).
cnf(s5291,plain,
( ~ spl0_597
| ~ spl0_252 ),
inference(rat,[],[s2968,s4776,s2719,s2750,s2893]) ).
cnf(s5292,plain,
( spl0_19
| ~ spl0_244
| spl0_4 ),
inference(rat,[],[s3325,s4561,s2095,s3298,s3183,s4777,s4515,s3272,s3142,s5291,s3908,s2909,s2987,s4239,s4345,s1244,s3385,s1798,s5290,s3834,s5289,s4571,s37,s4547,s3688,s96,s5287,s3024,s5288,s4560,s5277]) ).
cnf(s5293,plain,
( ~ spl0_244
| spl0_4 ),
inference(rat,[],[s4777,s3710,s3163,s3213,s3178,s3659,s4776,s1236,s1798,s3368,s3893,s3183,s3387,s3403,s3785,s4515,s4603,s2947,s2980,s4536,s3142,s63,s563,s2988,s5281,s3766,s48,s3676,s5292,s561,s4547,s101,s3688,s96,s5287,s4560,s5277,s5288]) ).
cnf(s5294,plain,
( ~ spl0_24
| spl0_4 ),
inference(rat,[],[s4239,s4596,s1257,s3598,s18,s4547,s3688,s96,s5287,s3387,s2981,s5293,s5277]) ).
cnf(s5295,plain,
spl0_4,
inference(rat,[],[s4776,s4585,s3893,s5283,s3785,s3142,s4347,s5281,s3669,s3766,s48,s3676,s19,s5294,s4345,s3870,s3280,s3387,s4086,s4568,s2981,s5293,s101,s4547,s3688,s96,s5287,s4560,s5277]) ).
cnf(s5296,plain,
spl0_21,
inference(rat,[],[s5249,s5295]) ).
cnf(s5297,plain,
~ spl0_251,
inference(rat,[],[s3036,s5296]) ).
cnf(s5298,plain,
spl0_127,
inference(rat,[],[s3005,s5296]) ).
cnf(s5300,plain,
~ spl0_465,
inference(rat,[],[s3002,s5296]) ).
cnf(s5301,plain,
~ spl0_12,
inference(rat,[],[s105,s5296]) ).
cnf(s5302,plain,
spl0_8,
inference(rat,[],[s104,s5296]) ).
cnf(s5304,plain,
spl0_369,
inference(rat,[],[s1798,s5297]) ).
cnf(s5306,plain,
spl0_17,
inference(rat,[],[s5153,s5298]) ).
cnf(s5308,plain,
spl0_626,
inference(rat,[],[s4515,s5300]) ).
cnf(s5314,plain,
~ spl0_19,
inference(rat,[],[s2755,s3183,s5281,s48,s3676,s5295,s5302,s5308,s5301]) ).
cnf(s5315,plain,
~ spl0_49,
inference(rat,[],[s93,s5314]) ).
cnf(s5320,plain,
~ spl0_16,
inference(rat,[],[s2901,s5295,s5315]) ).
cnf(s5331,plain,
~ spl0_138,
inference(rat,[],[s2997,s5302,s5320]) ).
cnf(s5333,plain,
spl0_6,
inference(rat,[],[s3046,s5302,s5306,s5320]) ).
cnf(s5334,plain,
~ spl0_613,
inference(rat,[],[s3366,s5306,s5304,s5331]) ).
cnf(s5335,plain,
~ spl0_622,
inference(rat,[],[s3298,s5308,s5306,s5331]) ).
cnf(s5338,plain,
~ spl0_244,
inference(rat,[],[s3016,s5304,s5333]) ).
cnf(s5339,plain,
~ spl0_425,
inference(rat,[],[s3376,s5308,s5333]) ).
cnf(s5342,plain,
spl0_619,
inference(rat,[],[s4596,s5334]) ).
cnf(s5343,plain,
spl0_621,
inference(rat,[],[s2864,s5335]) ).
cnf(s5348,plain,
~ spl0_607,
inference(rat,[],[s2981,s5338]) ).
cnf(s5353,plain,
~ spl0_435,
inference(rat,[],[s4564,s5339]) ).
cnf(s5359,plain,
~ spl0_421,
inference(rat,[],[s3303,s5353,s5342,s5343]) ).
cnf(s5365,plain,
~ spl0_44,
inference(rat,[],[s2814,s5295,s5348]) ).
cnf(s5370,plain,
spl0_422,
inference(rat,[],[s4777,s5359]) ).
cnf(s5375,plain,
~ spl0_368,
inference(rat,[],[s3034,s5302,s5365]) ).
cnf(s5379,plain,
$false,
inference(rat,[],[s3163,s5300,s5304,s5375,s5370]) ).
thf(f41771,plain,
$false,
inference(avatar_sat_refutation,[],[s5379]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA153^1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n011.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 19:05:01 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running higher-order theorem proving
% 0.09/0.22 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
% 0.25/0.36 % (515733)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.25/0.36 % (515739)lrs+10_16_si=on:nwc=1.5:random_seed=3801268199:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.25/0.36 % (515739)Instruction limit reached!
% 0.25/0.36 % (515739)------------------------------
% 0.25/0.36 % (515739)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.36 % (515739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.36 % (515739)CaDiCaL version: 2.1.3
% 0.25/0.36 % (515739)Termination reason: Instruction limit
% 0.25/0.36 % (515739)Termination phase: Saturation
% 0.25/0.36 % (515739)Time elapsed: 0.006 s
% 0.25/0.36 % (515739)Peak memory usage: 12 MB
% 0.25/0.36 % (515739)Instructions burned: 22 (million)
% 0.25/0.36 % (515738)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4174446201:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.25/0.36 % (515740)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2468987352:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.25/0.36 % (515740)Instruction limit reached!
% 0.25/0.36 % (515740)------------------------------
% 0.25/0.36 % (515740)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.36 % (515740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.36 % (515740)CaDiCaL version: 2.1.3
% 0.25/0.36 % (515740)Termination reason: Instruction limit
% 0.25/0.36 % (515740)Termination phase: Saturation
% 0.25/0.36 % (515740)Time elapsed: 0.003 s
% 0.25/0.36 % (515740)Peak memory usage: 12 MB
% 0.25/0.36 % (515740)Instructions burned: 5 (million)
% 0.25/0.36 % (515746)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3056677913:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.25/0.36 % (515746)Instruction limit reached!
% 0.25/0.36 % (515746)------------------------------
% 0.25/0.36 % (515746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.36 % (515746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.36 % (515746)CaDiCaL version: 2.1.3
% 0.25/0.36 % (515746)Termination reason: Instruction limit
% 0.25/0.36 % (515746)Termination phase: Saturation
% 0.25/0.36 % (515746)Time elapsed: 0.001 s
% 0.25/0.36 % (515746)Peak memory usage: 12 MB
% 0.25/0.36 % (515746)Instructions burned: 2 (million)
% 0.25/0.36 % (515751)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.25/0.36 % (515751)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3719619340:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.25/0.36 % (515749)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=222514675:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.25/0.36 % (515751)Instruction limit reached!
% 0.25/0.36 % (515751)------------------------------
% 0.25/0.36 % (515751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.36 % (515751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.36 % (515751)CaDiCaL version: 2.1.3
% 0.25/0.36 % (515751)Termination reason: Instruction limit
% 0.25/0.36 % (515751)Termination phase: Saturation
% 0.25/0.36 % (515751)Time elapsed: 0.002 s
% 0.25/0.36 % (515751)Peak memory usage: 12 MB
% 0.25/0.36 % (515751)Instructions burned: 8 (million)
% 0.25/0.36 % (515749)Instruction limit reached!
% 0.25/0.36 % (515749)------------------------------
% 0.25/0.36 % (515749)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.36 % (515749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.36 % (515749)CaDiCaL version: 2.1.3
% 0.25/0.36 % (515749)Termination reason: Instruction limit
% 0.25/0.36 % (515749)Termination phase: Saturation
% 0.25/0.36 % (515749)Time elapsed: 0.003 s
% 0.25/0.36 % (515749)Peak memory usage: 11 MB
% 0.25/0.36 % (515749)Instructions burned: 5 (million)
% 0.25/0.36 % (515754)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=4286535352:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.25/0.36 % (515754)Instruction limit reached!
% 0.25/0.36 % (515754)------------------------------
% 0.25/0.36 % (515754)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.36 % (515754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.39 % (515754)CaDiCaL version: 2.1.3
% 0.25/0.39 % (515754)Termination reason: Instruction limit
% 0.25/0.39 % (515754)Termination phase: Saturation
% 0.25/0.39 % (515754)Time elapsed: 0.004 s
% 0.25/0.39 % (515754)Peak memory usage: 12 MB
% 0.25/0.39 % (515754)Instructions burned: 14 (million)
% 0.25/0.39 % (515738)Instruction limit reached!
% 0.25/0.39 % (515738)------------------------------
% 0.25/0.39 % (515738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.39 % (515738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.39 % (515738)CaDiCaL version: 2.1.3
% 0.25/0.39 % (515738)Termination reason: Instruction limit
% 0.25/0.39 % (515738)Termination phase: Saturation
% 0.25/0.39 % (515738)Time elapsed: 0.038 s
% 0.25/0.39 % (515738)Peak memory usage: 12 MB
% 0.25/0.39 % (515738)Instructions burned: 89 (million)
% 0.25/0.39 % (515743)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2622694632:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.25/0.39 % (515744)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.25/0.39 % (515744)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
% 0.25/0.39 % (515755)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
% 0.25/0.39 % (515755)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.25/0.39 % (515755)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=298265603:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.25/0.39 % (515742)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=752008936:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.25/0.39 % (515744)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=430259759:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.25/0.39 % (515757)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=2591001978:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.25/0.39 % (515741)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=1219666566: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)
% 0.25/0.39 % (515758)lrs+10_1_si=on:cs=on:random_seed=2900024836:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.25/0.39 % (515758)Instruction limit reached!
% 0.25/0.39 % (515758)------------------------------
% 0.25/0.39 % (515758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.39 % (515758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.39 % (515758)CaDiCaL version: 2.1.3
% 0.25/0.39 % (515758)Termination reason: Instruction limit
% 0.25/0.39 % (515758)Termination phase: Saturation
% 0.25/0.39 % (515758)Time elapsed: 0.005 s
% 0.25/0.39 % (515758)Peak memory usage: 12 MB
% 0.25/0.39 % (515758)Instructions burned: 10 (million)
% 0.25/0.39 % (515755)Instruction limit reached!
% 0.25/0.39 % (515755)------------------------------
% 0.25/0.39 % (515755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.39 % (515755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.39 % (515755)CaDiCaL version: 2.1.3
% 0.25/0.39 % (515755)Termination reason: Instruction limit
% 0.25/0.39 % (515755)Termination phase: Saturation
% 0.25/0.39 % (515755)Time elapsed: 0.018 s
% 0.25/0.39 % (515755)Peak memory usage: 11 MB
% 0.25/0.39 % (515755)Instructions burned: 29 (million)
% 0.25/0.39 % (515742)Instruction limit reached!
% 0.25/0.39 % (515742)------------------------------
% 0.25/0.39 % (515742)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.43 % (515742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.43 % (515742)CaDiCaL version: 2.1.3
% 0.90/0.43 % (515742)Termination reason: Instruction limit
% 0.90/0.43 % (515742)Termination phase: Saturation
% 0.90/0.43 % (515742)Time elapsed: 0.017 s
% 0.90/0.43 % (515742)Peak memory usage: 11 MB
% 0.90/0.43 % (515742)Instructions burned: 25 (million)
% 0.90/0.43 % (515757)Instruction limit reached!
% 0.90/0.43 % (515757)------------------------------
% 0.90/0.43 % (515757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.43 % (515757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.43 % (515757)CaDiCaL version: 2.1.3
% 0.90/0.43 % (515757)Termination reason: Instruction limit
% 0.90/0.43 % (515757)Termination phase: Saturation
% 0.90/0.43 % (515757)Time elapsed: 0.026 s
% 0.90/0.43 % (515757)Peak memory usage: 12 MB
% 0.90/0.43 % (515757)Instructions burned: 88 (million)
% 0.90/0.43 % (515769)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=915044129:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.90/0.43 % (515769)Refutation not found, incomplete strategy
% 0.90/0.43 % (515769)------------------------------
% 0.90/0.43 % (515769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.43 % (515769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.43 % (515769)CaDiCaL version: 2.1.3
% 0.90/0.43 % (515769)Termination reason: Refutation not found, incomplete strategy
% 0.90/0.43 % (515769)Time elapsed: 0.0000 s
% 0.90/0.43 % (515769)Peak memory usage: 11 MB
% 0.90/0.43 % (515769)------------------------------
% 0.90/0.43 % (515769)------------------------------
% 0.90/0.43 % (515767)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.90/0.43 % (515772)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=593139598:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.90/0.43 % (515767)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=1875214573:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.90/0.43 % (515767)Instruction limit reached!
% 0.90/0.43 % (515767)------------------------------
% 0.90/0.43 % (515767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.43 % (515767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.43 % (515767)CaDiCaL version: 2.1.3
% 0.90/0.43 % (515767)Termination reason: Instruction limit
% 0.90/0.43 % (515767)Termination phase: Saturation
% 0.90/0.43 % (515767)Time elapsed: 0.001 s
% 0.90/0.43 % (515767)Peak memory usage: 11 MB
% 0.90/0.43 % (515767)Instructions burned: 2 (million)
% 0.90/0.43 % (515772)Instruction limit reached!
% 0.90/0.43 % (515772)------------------------------
% 0.90/0.43 % (515772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.43 % (515772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.43 % (515772)CaDiCaL version: 2.1.3
% 0.90/0.43 % (515772)Termination reason: Instruction limit
% 0.90/0.43 % (515772)Termination phase: Saturation
% 0.90/0.43 % (515772)Time elapsed: 0.004 s
% 0.90/0.43 % (515772)Peak memory usage: 12 MB
% 0.90/0.43 % (515772)Instructions burned: 14 (million)
% 0.90/0.43 % (515743)Instruction limit reached!
% 0.90/0.43 % (515743)------------------------------
% 0.90/0.43 % (515743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.43 % (515743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.43 % (515743)CaDiCaL version: 2.1.3
% 0.90/0.43 % (515743)Termination reason: Instruction limit
% 0.90/0.43 % (515743)Termination phase: Saturation
% 0.90/0.43 % (515743)Time elapsed: 0.058 s
% 0.90/0.43 % (515743)Peak memory usage: 12 MB
% 0.90/0.43 % (515743)Instructions burned: 77 (million)
% 0.90/0.43 % (515768)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=462264745:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.90/0.43 % (515768)Refutation not found, incomplete strategy
% 0.90/0.43 % (515768)------------------------------
% 0.90/0.43 % (515768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.43 % (515768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.47 % (515768)CaDiCaL version: 2.1.3
% 0.90/0.47 % (515768)Termination reason: Refutation not found, incomplete strategy
% 0.90/0.47 % (515768)Time elapsed: 0.001 s
% 0.90/0.47 % (515768)Peak memory usage: 11 MB
% 0.90/0.47 % (515768)------------------------------
% 0.90/0.47 % (515768)------------------------------
% 0.90/0.47 % (515775)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=4270740859:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.90/0.47 % (515775)Refutation not found, incomplete strategy
% 0.90/0.47 % (515775)------------------------------
% 0.90/0.47 % (515775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.47 % (515775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.47 % (515775)CaDiCaL version: 2.1.3
% 0.90/0.47 % (515775)Termination reason: Refutation not found, incomplete strategy
% 0.90/0.47 % (515775)Time elapsed: 0.0000 s
% 0.90/0.47 % (515775)Peak memory usage: 11 MB
% 0.90/0.47 % (515775)------------------------------
% 0.90/0.47 % (515775)------------------------------
% 0.90/0.47 % (515770)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1836622010:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.90/0.47 % (515770)Refutation not found, incomplete strategy
% 0.90/0.47 % (515770)------------------------------
% 0.90/0.47 % (515770)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.47 % (515770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.47 % (515770)CaDiCaL version: 2.1.3
% 0.90/0.47 % (515770)Termination reason: Refutation not found, incomplete strategy
% 0.90/0.47 % (515770)Time elapsed: 0.0000 s
% 0.90/0.47 % (515770)Peak memory usage: 11 MB
% 0.90/0.47 % (515770)------------------------------
% 0.90/0.47 % (515770)------------------------------
% 0.90/0.47 % (515776)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3228257279:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.90/0.47 % (515744)Instruction limit reached!
% 0.90/0.47 % (515744)------------------------------
% 0.90/0.47 % (515744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.47 % (515744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.47 % (515744)CaDiCaL version: 2.1.3
% 0.90/0.47 % (515744)Termination reason: Instruction limit
% 0.90/0.47 % (515744)Termination phase: Saturation
% 0.90/0.47 % (515744)Time elapsed: 0.068 s
% 0.90/0.47 % (515744)Peak memory usage: 12 MB
% 0.90/0.47 % (515744)Instructions burned: 159 (million)
% 0.90/0.47 % (515781)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3610608046:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.90/0.47 % (515779)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3188761701:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.90/0.47 % (515776)Instruction limit reached!
% 0.90/0.47 % (515776)------------------------------
% 0.90/0.47 % (515776)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.47 % (515776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.47 % (515776)CaDiCaL version: 2.1.3
% 0.90/0.47 % (515776)Termination reason: Instruction limit
% 0.90/0.47 % (515776)Termination phase: Saturation
% 0.90/0.47 % (515776)Time elapsed: 0.009 s
% 0.90/0.47 % (515776)Peak memory usage: 12 MB
% 0.90/0.47 % (515776)Instructions burned: 16 (million)
% 0.90/0.47 % (515785)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.90/0.47 % (515785)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.90/0.47 % (515781)Instruction limit reached!
% 0.90/0.47 % (515781)------------------------------
% 0.90/0.47 % (515781)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.47 % (515781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.47 % (515781)CaDiCaL version: 2.1.3
% 0.90/0.47 % (515781)Termination reason: Instruction limit
% 0.90/0.47 % (515781)Termination phase: Saturation
% 0.90/0.47 % (515781)Time elapsed: 0.013 s
% 0.90/0.47 % (515781)Peak memory usage: 11 MB
% 1.44/0.51 % (515781)Instructions burned: 25 (million)
% 1.44/0.51 % (515785)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=1936601627:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.44/0.51 % (515779)Instruction limit reached!
% 1.44/0.51 % (515779)------------------------------
% 1.44/0.51 % (515779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.44/0.51 % (515779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.44/0.51 % (515779)CaDiCaL version: 2.1.3
% 1.44/0.51 % (515779)Termination reason: Instruction limit
% 1.44/0.51 % (515779)Termination phase: Saturation
% 1.44/0.51 % (515779)Time elapsed: 0.014 s
% 1.44/0.51 % (515779)Peak memory usage: 12 MB
% 1.44/0.51 % (515779)Instructions burned: 27 (million)
% 1.44/0.51 % (515778)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2658080756: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)
% 1.44/0.51 % (515778)Refutation not found, incomplete strategy
% 1.44/0.51 % (515778)------------------------------
% 1.44/0.51 % (515778)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.44/0.51 % (515778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.44/0.51 % (515778)CaDiCaL version: 2.1.3
% 1.44/0.51 % (515778)Termination reason: Refutation not found, incomplete strategy
% 1.44/0.51 % (515778)Time elapsed: 0.0000 s
% 1.44/0.51 % (515778)Peak memory usage: 11 MB
% 1.44/0.51 % (515788)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.44/0.51 % (515785)Instruction limit reached!
% 1.44/0.51 % (515785)------------------------------
% 1.44/0.51 % (515785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.44/0.51 % (515785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.44/0.51 % (515785)CaDiCaL version: 2.1.3
% 1.44/0.51 % (515785)Termination reason: Instruction limit
% 1.44/0.51 % (515785)Termination phase: Saturation
% 1.44/0.51 % (515785)Time elapsed: 0.009 s
% 1.44/0.51 % (515785)Peak memory usage: 12 MB
% 1.44/0.51 % (515785)Instructions burned: 14 (million)
% 1.44/0.51 % (515788)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=3019143563:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.44/0.51 % (515778)------------------------------
% 1.44/0.51 % (515778)------------------------------
% 1.44/0.51 % (515783)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=355440717:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.44/0.51 % (515788)Instruction limit reached!
% 1.44/0.51 % (515788)------------------------------
% 1.44/0.51 % (515788)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.44/0.51 % (515788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.44/0.51 % (515788)CaDiCaL version: 2.1.3
% 1.44/0.51 % (515788)Termination reason: Instruction limit
% 1.44/0.51 % (515788)Termination phase: Saturation
% 1.44/0.51 % (515788)Time elapsed: 0.005 s
% 1.44/0.51 % (515788)Peak memory usage: 12 MB
% 1.44/0.51 % (515788)Instructions burned: 8 (million)
% 1.44/0.51 % (515789)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=637853349:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.44/0.51 % (515795)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3925422977:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.44/0.51 % (515791)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=4207730602:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.44/0.51 % (515797)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2994300669:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.44/0.51 % (515783)Instruction limit reached!
% 1.44/0.51 % (515783)------------------------------
% 1.44/0.51 % (515783)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.44/0.51 % (515783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.44/0.55 % (515783)CaDiCaL version: 2.1.3
% 1.44/0.55 % (515783)Termination reason: Instruction limit
% 1.44/0.55 % (515783)Termination phase: Saturation
% 1.44/0.55 % (515783)Time elapsed: 0.024 s
% 1.44/0.55 % (515783)Peak memory usage: 12 MB
% 1.44/0.55 % (515783)Instructions burned: 62 (million)
% 1.44/0.55 % (515795)Instruction limit reached!
% 1.44/0.55 % (515795)------------------------------
% 1.44/0.55 % (515795)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.44/0.55 % (515795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.44/0.55 % (515795)CaDiCaL version: 2.1.3
% 1.44/0.55 % (515795)Termination reason: Instruction limit
% 1.44/0.55 % (515795)Termination phase: Saturation
% 1.44/0.55 % (515795)Time elapsed: 0.009 s
% 1.44/0.55 % (515795)Peak memory usage: 12 MB
% 1.44/0.55 % (515795)Instructions burned: 21 (million)
% 1.44/0.55 % (515789)Instruction limit reached!
% 1.44/0.55 % (515789)------------------------------
% 1.44/0.55 % (515789)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.44/0.55 % (515789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.44/0.55 % (515789)CaDiCaL version: 2.1.3
% 1.44/0.55 % (515789)Termination reason: Instruction limit
% 1.44/0.55 % (515789)Termination phase: Saturation
% 1.44/0.55 % (515789)Time elapsed: 0.021 s
% 1.44/0.55 % (515789)Peak memory usage: 12 MB
% 1.44/0.55 % (515789)Instructions burned: 33 (million)
% 1.44/0.55 % (515791)Instruction limit reached!
% 1.44/0.55 % (515791)------------------------------
% 1.44/0.55 % (515791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.44/0.55 % (515791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.44/0.55 % (515791)CaDiCaL version: 2.1.3
% 1.44/0.55 % (515791)Termination reason: Instruction limit
% 1.44/0.55 % (515791)Termination phase: Saturation
% 1.44/0.55 % (515791)Time elapsed: 0.008 s
% 1.44/0.55 % (515791)Peak memory usage: 12 MB
% 1.44/0.55 % (515791)Instructions burned: 7 (million)
% 1.44/0.55 % (515794)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2988186974:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.44/0.55 % (515802)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3081843351:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 1.44/0.55 % (515794)Instruction limit reached!
% 1.44/0.55 % (515794)------------------------------
% 1.44/0.55 % (515794)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.44/0.55 % (515794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.44/0.55 % (515794)CaDiCaL version: 2.1.3
% 1.44/0.55 % (515794)Termination reason: Instruction limit
% 1.44/0.55 % (515794)Termination phase: Saturation
% 1.44/0.55 % (515794)Time elapsed: 0.010 s
% 1.44/0.55 % (515794)Peak memory usage: 11 MB
% 1.44/0.55 % (515794)Instructions burned: 24 (million)
% 1.44/0.55 % (515805)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.44/0.55 % (515804)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2726124781:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 1.44/0.55 % (515805)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3085625805:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 1.44/0.55 % (515805)Instruction limit reached!
% 1.44/0.55 % (515805)------------------------------
% 1.44/0.55 % (515805)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.44/0.55 % (515805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.44/0.55 % (515805)CaDiCaL version: 2.1.3
% 1.44/0.55 % (515805)Termination reason: Instruction limit
% 1.44/0.55 % (515805)Termination phase: Saturation
% 1.44/0.55 % (515805)Time elapsed: 0.003 s
% 1.44/0.55 % (515805)Peak memory usage: 12 MB
% 1.44/0.55 % (515805)Instructions burned: 11 (million)
% 1.44/0.55 % (515803)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=494173633:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 1.44/0.55 % (515804)Instruction limit reached!
% 1.44/0.55 % (515804)------------------------------
% 1.44/0.55 % (515804)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.44/0.55 % (515804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.68 % (515804)CaDiCaL version: 2.1.3
% 2.20/0.68 % (515804)Termination reason: Instruction limit
% 2.20/0.68 % (515804)Termination phase: Saturation
% 2.20/0.68 % (515804)Time elapsed: 0.017 s
% 2.20/0.68 % (515804)Peak memory usage: 12 MB
% 2.20/0.68 % (515804)Instructions burned: 47 (million)
% 2.20/0.68 % (515808)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3277158438:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.20/0.68 % (515803)Refutation not found, incomplete strategy
% 2.20/0.68 % (515803)------------------------------
% 2.20/0.68 % (515803)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.68 % (515803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.68 % (515803)CaDiCaL version: 2.1.3
% 2.20/0.68 % (515803)Termination reason: Refutation not found, incomplete strategy
% 2.20/0.68 % (515803)Time elapsed: 0.005 s
% 2.20/0.68 % (515803)Peak memory usage: 11 MB
% 2.20/0.68 % (515808)Refutation not found, incomplete strategy
% 2.20/0.68 % (515808)------------------------------
% 2.20/0.68 % (515808)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.68 % (515808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.68 % (515808)CaDiCaL version: 2.1.3
% 2.20/0.68 % (515808)Termination reason: Refutation not found, incomplete strategy
% 2.20/0.68 % (515808)Time elapsed: 0.001 s
% 2.20/0.68 % (515808)Peak memory usage: 11 MB
% 2.20/0.68 % (515803)------------------------------
% 2.20/0.68 % (515803)------------------------------
% 2.20/0.68 % (515808)------------------------------
% 2.20/0.68 % (515808)------------------------------
% 2.20/0.68 % (515813)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.20/0.68 % (515813)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2894626498:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.20/0.68 % (515813)Refutation not found, incomplete strategy
% 2.20/0.68 % (515813)------------------------------
% 2.20/0.68 % (515813)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.68 % (515813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.68 % (515813)CaDiCaL version: 2.1.3
% 2.20/0.68 % (515813)Termination reason: Refutation not found, incomplete strategy
% 2.20/0.68 % (515813)Time elapsed: 0.004 s
% 2.20/0.68 % (515813)Peak memory usage: 11 MB
% 2.20/0.68 % (515813)Instructions burned: 1 (million)
% 2.20/0.68 % (515813)------------------------------
% 2.20/0.68 % (515813)------------------------------
% 2.20/0.68 % (515815)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=785704112:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.20/0.68 % (515815)Instruction limit reached!
% 2.20/0.68 % (515815)------------------------------
% 2.20/0.68 % (515815)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.68 % (515815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.68 % (515815)CaDiCaL version: 2.1.3
% 2.20/0.68 % (515815)Termination reason: Instruction limit
% 2.20/0.68 % (515815)Termination phase: Saturation
% 2.20/0.68 % (515815)Time elapsed: 0.006 s
% 2.20/0.68 % (515815)Peak memory usage: 12 MB
% 2.20/0.68 % (515815)Instructions burned: 25 (million)
% 2.20/0.68 % (515811)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=742965420: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)
% 2.20/0.68 % (515811)Refutation not found, incomplete strategy
% 2.20/0.68 % (515811)------------------------------
% 2.20/0.68 % (515811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.68 % (515811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.68 % (515811)CaDiCaL version: 2.1.3
% 2.20/0.68 % (515811)Termination reason: Refutation not found, incomplete strategy
% 2.20/0.68 % (515811)Time elapsed: 0.001 s
% 2.20/0.68 % (515811)Peak memory usage: 11 MB
% 2.20/0.68 % (515811)------------------------------
% 2.20/0.68 % (515811)------------------------------
% 2.20/0.68 % (515802)Instruction limit reached!
% 2.20/0.68 % (515802)------------------------------
% 2.20/0.68 % (515802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.74 % (515802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.74 % (515802)CaDiCaL version: 2.1.3
% 2.47/0.74 % (515802)Termination reason: Instruction limit
% 2.47/0.74 % (515802)Termination phase: Saturation
% 2.47/0.74 % (515802)Time elapsed: 0.058 s
% 2.47/0.74 % (515802)Peak memory usage: 12 MB
% 2.47/0.74 % (515802)Instructions burned: 143 (million)
% 2.47/0.74 % (515816)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2578690249:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.47/0.74 % (515816)Refutation not found, incomplete strategy
% 2.47/0.74 % (515816)------------------------------
% 2.47/0.74 % (515816)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.74 % (515816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.74 % (515816)CaDiCaL version: 2.1.3
% 2.47/0.74 % (515816)Termination reason: Refutation not found, incomplete strategy
% 2.47/0.74 % (515816)Time elapsed: 0.002 s
% 2.47/0.74 % (515816)Peak memory usage: 12 MB
% 2.47/0.74 % (515816)Instructions burned: 2 (million)
% 2.47/0.74 % (515816)------------------------------
% 2.47/0.74 % (515816)------------------------------
% 2.47/0.74 % (515820)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=2424636391: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)
% 2.47/0.74 % (515822)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=405287349: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)
% 2.47/0.74 % (515823)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=2096907817:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.47/0.74 % (515823)Refutation not found, incomplete strategy
% 2.47/0.74 % (515823)------------------------------
% 2.47/0.74 % (515823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.74 % (515823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.74 % (515823)CaDiCaL version: 2.1.3
% 2.47/0.74 % (515823)Termination reason: Refutation not found, incomplete strategy
% 2.47/0.74 % (515823)Time elapsed: 0.001 s
% 2.47/0.74 % (515823)Peak memory usage: 11 MB
% 2.47/0.74 % (515823)Instructions burned: 1 (million)
% 2.47/0.74 % (515823)------------------------------
% 2.47/0.74 % (515823)------------------------------
% 2.47/0.74 % (515818)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=2928387234:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.47/0.74 % (515825)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=3329826351: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)
% 2.47/0.74 % (515829)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.47/0.74 % (515825)Instruction limit reached!
% 2.47/0.74 % (515825)------------------------------
% 2.47/0.74 % (515825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.74 % (515825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.74 % (515825)CaDiCaL version: 2.1.3
% 2.47/0.74 % (515825)Termination reason: Instruction limit
% 2.47/0.74 % (515825)Termination phase: Saturation
% 2.47/0.74 % (515825)Time elapsed: 0.012 s
% 2.47/0.74 % (515825)Peak memory usage: 12 MB
% 2.47/0.74 % (515825)Instructions burned: 21 (million)
% 2.47/0.74 % (515829)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1236510955:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/200Mi)
% 2.47/0.74 % (515822)Instruction limit reached!
% 2.47/0.74 % (515822)------------------------------
% 2.47/0.74 % (515822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.74 % (515822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.74 % (515822)CaDiCaL version: 2.1.3
% 2.47/0.74 % (515822)Termination reason: Instruction limit
% 2.47/0.74 % (515822)Termination phase: Saturation
% 2.47/0.79 % (515822)Time elapsed: 0.030 s
% 2.47/0.79 % (515822)Peak memory usage: 12 MB
% 2.47/0.79 % (515822)Instructions burned: 49 (million)
% 2.47/0.79 % (515832)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3445084573:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 2.47/0.79 % (515832)Instruction limit reached!
% 2.47/0.79 % (515832)------------------------------
% 2.47/0.79 % (515832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.79 % (515832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.79 % (515832)CaDiCaL version: 2.1.3
% 2.47/0.79 % (515832)Termination reason: Instruction limit
% 2.47/0.79 % (515832)Termination phase: Saturation
% 2.47/0.79 % (515832)Time elapsed: 0.016 s
% 2.47/0.79 % (515832)Peak memory usage: 12 MB
% 2.47/0.79 % (515832)Instructions burned: 14 (million)
% 2.47/0.79 % (515834)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=2936200808:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 2.47/0.79 % (515834)Instruction limit reached!
% 2.47/0.79 % (515834)------------------------------
% 2.47/0.79 % (515834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.79 % (515834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.79 % (515834)CaDiCaL version: 2.1.3
% 2.47/0.79 % (515834)Termination reason: Instruction limit
% 2.47/0.79 % (515834)Termination phase: Saturation
% 2.47/0.79 % (515834)Time elapsed: 0.032 s
% 2.47/0.79 % (515834)Peak memory usage: 12 MB
% 2.47/0.79 % (515834)Instructions burned: 68 (million)
% 2.47/0.79 % (515836)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=1258540083:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 2.47/0.79 % (515836)Refutation not found, incomplete strategy
% 2.47/0.79 % (515836)------------------------------
% 2.47/0.79 % (515836)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.79 % (515836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.79 % (515836)CaDiCaL version: 2.1.3
% 2.47/0.79 % (515836)Termination reason: Refutation not found, incomplete strategy
% 2.47/0.79 % (515836)Time elapsed: 0.001 s
% 2.47/0.79 % (515836)Peak memory usage: 11 MB
% 2.47/0.79 % (515836)Instructions burned: 1 (million)
% 2.47/0.79 % (515836)------------------------------
% 2.47/0.79 % (515836)------------------------------
% 2.47/0.79 % (515829)Instruction limit reached!
% 2.47/0.79 % (515829)------------------------------
% 2.47/0.79 % (515829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.79 % (515829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.79 % (515829)CaDiCaL version: 2.1.3
% 2.47/0.79 % (515829)Termination reason: Instruction limit
% 2.47/0.79 % (515829)Termination phase: Saturation
% 2.47/0.79 % (515829)Time elapsed: 0.094 s
% 2.47/0.79 % (515829)Peak memory usage: 12 MB
% 2.47/0.79 % (515829)Instructions burned: 200 (million)
% 2.47/0.79 % (515838)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1082393286:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 2.47/0.79 % (515841)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=1556876008:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 2.47/0.79 % (515741)Instruction limit reached!
% 2.47/0.79 % (515741)------------------------------
% 2.47/0.79 % (515741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.79 % (515741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/0.79 % (515741)CaDiCaL version: 2.1.3
% 2.47/0.79 % (515741)Termination reason: Instruction limit
% 2.47/0.79 % (515741)Termination phase: Saturation
% 2.47/0.79 % (515741)Time elapsed: 0.351 s
% 2.47/0.79 % (515741)Peak memory usage: 13 MB
% 2.47/0.79 % (515741)Instructions burned: 635 (million)
% 2.47/0.79 % (515840)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=2357835054:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2996 on theBenchmark for (2996ds/137Mi)
% 2.47/0.79 % (515841)Instruction limit reached!
% 2.47/0.79 % (515841)------------------------------
% 2.47/0.79 % (515841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.47/0.79 % (515841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/0.85 % (515841)CaDiCaL version: 2.1.3
% 3.10/0.85 % (515841)Termination reason: Instruction limit
% 3.10/0.85 % (515841)Termination phase: Saturation
% 3.10/0.85 % (515841)Time elapsed: 0.018 s
% 3.10/0.85 % (515841)Peak memory usage: 12 MB
% 3.10/0.85 % (515841)Instructions burned: 35 (million)
% 3.10/0.85 % (515838)Instruction limit reached!
% 3.10/0.85 % (515838)------------------------------
% 3.10/0.85 % (515838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.10/0.85 % (515838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/0.85 % (515838)CaDiCaL version: 2.1.3
% 3.10/0.85 % (515838)Termination reason: Instruction limit
% 3.10/0.85 % (515838)Termination phase: Saturation
% 3.10/0.85 % (515838)Time elapsed: 0.023 s
% 3.10/0.85 % (515838)Peak memory usage: 12 MB
% 3.10/0.85 % (515838)Instructions burned: 31 (million)
% 3.10/0.85 % (515844)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1869620526:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 3.10/0.85 % (515844)Refutation not found, incomplete strategy
% 3.10/0.85 % (515844)------------------------------
% 3.10/0.85 % (515844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.10/0.85 % (515844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/0.85 % (515844)CaDiCaL version: 2.1.3
% 3.10/0.85 % (515844)Termination reason: Refutation not found, incomplete strategy
% 3.10/0.85 % (515844)Time elapsed: 0.001 s
% 3.10/0.85 % (515844)Peak memory usage: 11 MB
% 3.10/0.85 % (515844)Instructions burned: 1 (million)
% 3.10/0.85 % (515844)------------------------------
% 3.10/0.85 % (515844)------------------------------
% 3.10/0.85 % (515846)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.10/0.85 % (515846)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=4101423498:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 3.10/0.85 % (515847)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=469423104:st=2:i=246:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/246Mi)
% 3.10/0.85 % (515847)Refutation not found, incomplete strategy
% 3.10/0.85 % (515847)------------------------------
% 3.10/0.85 % (515847)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.10/0.85 % (515847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/0.85 % (515847)CaDiCaL version: 2.1.3
% 3.10/0.85 % (515847)Termination reason: Refutation not found, incomplete strategy
% 3.10/0.85 % (515847)Time elapsed: 0.001 s
% 3.10/0.85 % (515847)Peak memory usage: 11 MB
% 3.10/0.85 % (515847)------------------------------
% 3.10/0.85 % (515847)------------------------------
% 3.10/0.85 % (515849)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=4177745113:cond=on:i=96:bd=all:rtra=on_2995 on theBenchmark for (2995ds/96Mi)
% 3.10/0.85 % (515852)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3526928777:i=427:sd=1:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/427Mi)
% 3.10/0.85 % (515852)Refutation not found, incomplete strategy
% 3.10/0.85 % (515852)------------------------------
% 3.10/0.85 % (515852)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.10/0.85 % (515852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/0.85 % (515852)CaDiCaL version: 2.1.3
% 3.10/0.85 % (515852)Termination reason: Refutation not found, incomplete strategy
% 3.10/0.85 % (515852)Time elapsed: 0.001 s
% 3.10/0.85 % (515852)Peak memory usage: 11 MB
% 3.10/0.85 % (515852)------------------------------
% 3.10/0.85 % (515852)------------------------------
% 3.10/0.85 % (515820)Instruction limit reached!
% 3.10/0.85 % (515820)------------------------------
% 3.10/0.85 % (515820)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.10/0.85 % (515820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/0.85 % (515820)CaDiCaL version: 2.1.3
% 3.10/0.85 % (515820)Termination reason: Instruction limit
% 3.10/0.85 % (515820)Termination phase: Saturation
% 3.10/0.85 % (515820)Time elapsed: 0.222 s
% 3.10/0.85 % (515820)Peak memory usage: 13 MB
% 3.10/0.85 % (515820)Instructions burned: 856 (million)
% 3.10/0.85 % (515840)Instruction limit reached!
% 3.10/0.85 % (515840)------------------------------
% 3.10/0.85 % (515840)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.51/0.93 % (515840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/0.93 % (515840)CaDiCaL version: 2.1.3
% 3.51/0.93 % (515840)Termination reason: Instruction limit
% 3.51/0.93 % (515840)Termination phase: Saturation
% 3.51/0.93 % (515840)Time elapsed: 0.078 s
% 3.51/0.93 % (515840)Peak memory usage: 12 MB
% 3.51/0.93 % (515840)Instructions burned: 138 (million)
% 3.51/0.93 % (515855)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3163562947:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/874Mi)
% 3.51/0.93 % (515855)Refutation not found, incomplete strategy
% 3.51/0.93 % (515855)------------------------------
% 3.51/0.93 % (515855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.51/0.93 % (515855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/0.93 % (515855)CaDiCaL version: 2.1.3
% 3.51/0.93 % (515855)Termination reason: Refutation not found, incomplete strategy
% 3.51/0.93 % (515855)Time elapsed: 0.001 s
% 3.51/0.93 % (515855)Peak memory usage: 11 MB
% 3.51/0.93 % (515855)------------------------------
% 3.51/0.93 % (515855)------------------------------
% 3.51/0.93 % (515818)Instruction limit reached!
% 3.51/0.93 % (515818)------------------------------
% 3.51/0.93 % (515818)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.51/0.93 % (515818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/0.93 % (515818)CaDiCaL version: 2.1.3
% 3.51/0.93 % (515818)Termination reason: Instruction limit
% 3.51/0.93 % (515818)Termination phase: Saturation
% 3.51/0.93 % (515818)Time elapsed: 0.235 s
% 3.51/0.93 % (515818)Peak memory usage: 13 MB
% 3.51/0.93 % (515818)Instructions burned: 318 (million)
% 3.51/0.93 % (515856)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1610200963:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/515Mi)
% 3.51/0.93 % (515856)Refutation not found, incomplete strategy
% 3.51/0.93 % (515856)------------------------------
% 3.51/0.93 % (515856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.51/0.93 % (515856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/0.93 % (515856)CaDiCaL version: 2.1.3
% 3.51/0.93 % (515856)Termination reason: Refutation not found, incomplete strategy
% 3.51/0.93 % (515856)Time elapsed: 0.001 s
% 3.51/0.93 % (515856)Peak memory usage: 12 MB
% 3.51/0.93 % (515856)------------------------------
% 3.51/0.93 % (515856)------------------------------
% 3.51/0.93 % (515846)Instruction limit reached!
% 3.51/0.93 % (515846)------------------------------
% 3.51/0.93 % (515846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.51/0.93 % (515846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/0.93 % (515846)CaDiCaL version: 2.1.3
% 3.51/0.93 % (515846)Termination reason: Instruction limit
% 3.51/0.93 % (515846)Termination phase: Saturation
% 3.51/0.93 % (515846)Time elapsed: 0.081 s
% 3.51/0.93 % (515846)Peak memory usage: 12 MB
% 3.51/0.93 % (515846)Instructions burned: 181 (million)
% 3.51/0.93 % (515857)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1383319575:st=1.5:i=130:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/130Mi)
% 3.51/0.93 % (515857)Refutation not found, incomplete strategy
% 3.51/0.93 % (515857)------------------------------
% 3.51/0.93 % (515857)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.51/0.93 % (515857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/0.93 % (515857)CaDiCaL version: 2.1.3
% 3.51/0.93 % (515857)Termination reason: Refutation not found, incomplete strategy
% 3.51/0.93 % (515857)Time elapsed: 0.001 s
% 3.51/0.93 % (515857)Peak memory usage: 11 MB
% 3.51/0.93 % (515857)Instructions burned: 1 (million)
% 3.51/0.93 % (515857)------------------------------
% 3.51/0.93 % (515857)------------------------------
% 3.51/0.93 % (515860)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=934962478:s2a=on:i=571:nm=16:rtra=on_2994 on theBenchmark for (2994ds/571Mi)
% 3.51/0.93 % (515849)Instruction limit reached!
% 3.51/0.93 % (515849)------------------------------
% 3.51/0.93 % (515849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.51/0.93 % (515849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/0.93 % (515849)CaDiCaL version: 2.1.3
% 3.51/0.93 % (515849)Termination reason: Instruction limit
% 3.51/0.93 % (515849)Termination phase: Saturation
% 4.54/1.11 % (515849)Time elapsed: 0.079 s
% 4.54/1.11 % (515849)Peak memory usage: 12 MB
% 4.54/1.11 % (515849)Instructions burned: 98 (million)
% 4.54/1.11 % (515860)Refutation not found, incomplete strategy
% 4.54/1.11 % (515860)------------------------------
% 4.54/1.11 % (515860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.54/1.11 % (515860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.54/1.11 % (515860)CaDiCaL version: 2.1.3
% 4.54/1.11 % (515860)Termination reason: Refutation not found, incomplete strategy
% 4.54/1.11 % (515860)Time elapsed: 0.001 s
% 4.54/1.11 % (515860)Peak memory usage: 12 MB
% 4.54/1.11 % (515860)Instructions burned: 1 (million)
% 4.54/1.11 % (515860)------------------------------
% 4.54/1.11 % (515860)------------------------------
% 4.54/1.11 % (515859)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2155275274:i=44:ep=R:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/44Mi)
% 4.54/1.11 % (515867)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=524229441: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)
% 4.54/1.11 % (515868)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=207491079: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)
% 4.54/1.11 % (515868)Refutation not found, incomplete strategy
% 4.54/1.11 % (515868)------------------------------
% 4.54/1.11 % (515868)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.54/1.11 % (515868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.54/1.11 % (515868)CaDiCaL version: 2.1.3
% 4.54/1.11 % (515868)Termination reason: Refutation not found, incomplete strategy
% 4.54/1.11 % (515868)Time elapsed: 0.001 s
% 4.54/1.11 % (515868)Peak memory usage: 12 MB
% 4.54/1.11 % (515868)------------------------------
% 4.54/1.11 % (515868)------------------------------
% 4.54/1.11 % (515863)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=2740428698:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/95Mi)
% 4.54/1.11 % (515862)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=2736376335:i=450:rtra=on:ixr=off:ntd=on_2994 on theBenchmark for (2994ds/450Mi)
% 4.54/1.11 % (515866)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=2813863530:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2994 on theBenchmark for (2994ds/65Mi)
% 4.54/1.11 % (515872)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=830115943:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/375Mi)
% 4.54/1.11 % (515872)Refutation not found, incomplete strategy
% 4.54/1.11 % (515872)------------------------------
% 4.54/1.11 % (515872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.54/1.11 % (515872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.54/1.11 % (515872)CaDiCaL version: 2.1.3
% 4.54/1.11 % (515872)Termination reason: Refutation not found, incomplete strategy
% 4.54/1.11 % (515872)Time elapsed: 0.0000 s
% 4.54/1.11 % (515872)Peak memory usage: 11 MB
% 4.54/1.11 % (515872)------------------------------
% 4.54/1.11 % (515872)------------------------------
% 4.54/1.11 % (515859)Instruction limit reached!
% 4.54/1.11 % (515859)------------------------------
% 4.54/1.11 % (515859)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.54/1.11 % (515859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.54/1.11 % (515859)CaDiCaL version: 2.1.3
% 4.54/1.11 % (515859)Termination reason: Instruction limit
% 4.54/1.11 % (515859)Termination phase: Saturation
% 4.54/1.11 % (515859)Time elapsed: 0.042 s
% 4.54/1.11 % (515859)Peak memory usage: 12 MB
% 4.54/1.11 % (515859)Instructions burned: 46 (million)
% 4.54/1.11 % (515863)Instruction limit reached!
% 4.54/1.11 % (515863)------------------------------
% 4.54/1.11 % (515863)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.54/1.11 % (515863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.17/1.21 % (515863)CaDiCaL version: 2.1.3
% 5.17/1.21 % (515863)Termination reason: Instruction limit
% 5.17/1.21 % (515863)Termination phase: Saturation
% 5.17/1.21 % (515863)Time elapsed: 0.043 s
% 5.17/1.21 % (515863)Peak memory usage: 12 MB
% 5.17/1.21 % (515863)Instructions burned: 95 (million)
% 5.17/1.21 % (515877)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3081281165:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2993 on theBenchmark for (2993ds/495Mi)
% 5.17/1.21 % (515866)Instruction limit reached!
% 5.17/1.21 % (515866)------------------------------
% 5.17/1.21 % (515866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.17/1.21 % (515866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.17/1.21 % (515866)CaDiCaL version: 2.1.3
% 5.17/1.21 % (515866)Termination reason: Instruction limit
% 5.17/1.21 % (515866)Termination phase: Saturation
% 5.17/1.21 % (515866)Time elapsed: 0.046 s
% 5.17/1.21 % (515866)Peak memory usage: 12 MB
% 5.17/1.21 % (515866)Instructions burned: 66 (million)
% 5.17/1.21 % (515867)Instruction limit reached!
% 5.17/1.21 % (515867)------------------------------
% 5.17/1.21 % (515867)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.17/1.21 % (515867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.17/1.21 % (515867)CaDiCaL version: 2.1.3
% 5.17/1.21 % (515867)Termination reason: Instruction limit
% 5.17/1.21 % (515867)Termination phase: Saturation
% 5.17/1.21 % (515867)Time elapsed: 0.056 s
% 5.17/1.21 % (515867)Peak memory usage: 12 MB
% 5.17/1.21 % (515867)Instructions burned: 105 (million)
% 5.17/1.21 % (515879)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=1304829283:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2993 on theBenchmark for (2993ds/91Mi)
% 5.17/1.21 % (515878)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=1926581608:cond=on:i=34:hud=10:nm=10:rtra=on_2993 on theBenchmark for (2993ds/34Mi)
% 5.17/1.21 % (515881)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=3806976806: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)
% 5.17/1.21 % (515881)Refutation not found, incomplete strategy
% 5.17/1.21 % (515881)------------------------------
% 5.17/1.21 % (515881)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.17/1.21 % (515881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.17/1.21 % (515881)CaDiCaL version: 2.1.3
% 5.17/1.21 % (515881)Termination reason: Refutation not found, incomplete strategy
% 5.17/1.21 % (515881)Time elapsed: 0.001 s
% 5.17/1.21 % (515881)Peak memory usage: 11 MB
% 5.17/1.21 % (515881)------------------------------
% 5.17/1.21 % (515881)------------------------------
% 5.17/1.21 % (515882)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2096770864:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2993 on theBenchmark for (2993ds/22Mi)
% 5.17/1.21 % (515878)Instruction limit reached!
% 5.17/1.21 % (515878)------------------------------
% 5.17/1.21 % (515878)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.17/1.21 % (515878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.17/1.21 % (515878)CaDiCaL version: 2.1.3
% 5.17/1.21 % (515878)Termination reason: Instruction limit
% 5.17/1.21 % (515878)Termination phase: Saturation
% 5.17/1.21 % (515878)Time elapsed: 0.034 s
% 5.17/1.21 % (515878)Peak memory usage: 12 MB
% 5.17/1.21 % (515878)Instructions burned: 35 (million)
% 5.17/1.21 % (515882)Instruction limit reached!
% 5.17/1.21 % (515882)------------------------------
% 5.17/1.21 % (515882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.17/1.21 % (515882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.17/1.21 % (515882)CaDiCaL version: 2.1.3
% 5.17/1.21 % (515882)Termination reason: Instruction limit
% 5.17/1.21 % (515882)Termination phase: Saturation
% 5.17/1.21 % (515882)Time elapsed: 0.023 s
% 5.17/1.21 % (515882)Peak memory usage: 12 MB
% 5.17/1.21 % (515882)Instructions burned: 22 (million)
% 5.17/1.21 % (515879)Instruction limit reached!
% 5.17/1.21 % (515879)------------------------------
% 5.17/1.21 % (515879)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.17/1.21 % (515879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.17/1.27 % (515879)CaDiCaL version: 2.1.3
% 5.17/1.27 % (515879)Termination reason: Instruction limit
% 5.17/1.27 % (515879)Termination phase: Saturation
% 5.17/1.27 % (515879)Time elapsed: 0.057 s
% 5.17/1.27 % (515879)Peak memory usage: 12 MB
% 5.17/1.27 % (515879)Instructions burned: 93 (million)
% 5.17/1.27 % (515886)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=610804305:i=338:bd=all:ins=4:rtra=on_2993 on theBenchmark for (2993ds/338Mi)
% 5.17/1.27 % (515888)lrs+10_1_sil=128000:si=on:urr=on:random_seed=3771996717:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2993 on theBenchmark for (2993ds/28Mi)
% 5.17/1.27 % (515888)Refutation not found, incomplete strategy
% 5.17/1.27 % (515888)------------------------------
% 5.17/1.27 % (515888)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.17/1.27 % (515888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.17/1.27 % (515888)CaDiCaL version: 2.1.3
% 5.17/1.27 % (515888)Termination reason: Refutation not found, incomplete strategy
% 5.17/1.27 % (515888)Time elapsed: 0.001 s
% 5.17/1.27 % (515888)Peak memory usage: 11 MB
% 5.17/1.27 % (515888)------------------------------
% 5.17/1.27 % (515888)------------------------------
% 5.17/1.27 % (515889)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 5.17/1.27 % (515889)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=1844142777: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)
% 5.17/1.27 % (515890)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=2925759536:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2992 on theBenchmark for (2992ds/340Mi)
% 5.17/1.27 % (515893)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=2895395002:i=227:sd=1:bd=all:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/227Mi)
% 5.17/1.27 % (515893)Refutation not found, incomplete strategy
% 5.17/1.27 % (515893)------------------------------
% 5.17/1.27 % (515893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.17/1.27 % (515893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.17/1.27 % (515893)CaDiCaL version: 2.1.3
% 5.17/1.27 % (515893)Termination reason: Refutation not found, incomplete strategy
% 5.17/1.27 % (515893)Time elapsed: 0.001 s
% 5.17/1.27 % (515893)Peak memory usage: 11 MB
% 5.17/1.27 % (515893)------------------------------
% 5.17/1.27 % (515893)------------------------------
% 5.17/1.27 % (515897)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 5.17/1.27 % (515897)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=602347310:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/373Mi)
% 5.17/1.27 % (515889)Instruction limit reached!
% 5.17/1.27 % (515889)------------------------------
% 5.17/1.27 % (515889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.17/1.27 % (515889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.17/1.27 % (515889)CaDiCaL version: 2.1.3
% 5.17/1.27 % (515889)Termination reason: Instruction limit
% 5.17/1.27 % (515889)Termination phase: Saturation
% 5.17/1.27 % (515889)Time elapsed: 0.085 s
% 5.17/1.27 % (515889)Peak memory usage: 12 MB
% 5.17/1.27 % (515889)Instructions burned: 139 (million)
% 5.17/1.27 % (515899)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=4165635728:i=116:ep=RSTC:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/116Mi)
% 5.17/1.27 % (515862)Instruction limit reached!
% 5.17/1.27 % (515862)------------------------------
% 5.17/1.27 % (515862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.17/1.27 % (515862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.17/1.27 % (515862)CaDiCaL version: 2.1.3
% 5.17/1.27 % (515862)Termination reason: Instruction limit
% 5.17/1.27 % (515862)Termination phase: Saturation
% 5.17/1.27 % (515862)Time elapsed: 0.279 s
% 5.17/1.27 % (515862)Peak memory usage: 12 MB
% 5.17/1.27 % (515862)Instructions burned: 452 (million)
% 5.17/1.27 % (515877)Instruction limit reached!
% 5.17/1.27 % (515877)------------------------------
% 5.17/1.27 % (515877)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.52/1.33 % (515877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.33 % (515877)CaDiCaL version: 2.1.3
% 5.52/1.33 % (515877)Termination reason: Instruction limit
% 5.52/1.33 % (515877)Termination phase: Saturation
% 5.52/1.33 % (515877)Time elapsed: 0.248 s
% 5.52/1.33 % (515877)Peak memory usage: 13 MB
% 5.52/1.33 % (515877)Instructions burned: 497 (million)
% 5.52/1.33 % (515901)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=2117956880:i=575:rtra=on_2991 on theBenchmark for (2991ds/575Mi)
% 5.52/1.33 % (515901)Refutation not found, incomplete strategy
% 5.52/1.33 % (515901)------------------------------
% 5.52/1.33 % (515901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.52/1.33 % (515901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.33 % (515901)CaDiCaL version: 2.1.3
% 5.52/1.33 % (515901)Termination reason: Refutation not found, incomplete strategy
% 5.52/1.33 % (515901)Time elapsed: 0.001 s
% 5.52/1.33 % (515901)Peak memory usage: 11 MB
% 5.52/1.33 % (515901)Instructions burned: 1 (million)
% 5.52/1.33 % (515901)------------------------------
% 5.52/1.33 % (515901)------------------------------
% 5.52/1.33 % (515899)Instruction limit reached!
% 5.52/1.33 % (515899)------------------------------
% 5.52/1.33 % (515899)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.52/1.33 % (515899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.33 % (515899)CaDiCaL version: 2.1.3
% 5.52/1.33 % (515899)Termination reason: Instruction limit
% 5.52/1.33 % (515899)Termination phase: Saturation
% 5.52/1.33 % (515899)Time elapsed: 0.049 s
% 5.52/1.33 % (515899)Peak memory usage: 12 MB
% 5.52/1.33 % (515899)Instructions burned: 119 (million)
% 5.52/1.33 % (515902)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1308168266:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2991 on theBenchmark for (2991ds/270Mi)
% 5.52/1.33 % (515904)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=107764110: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_2991 on theBenchmark for (2991ds/9840Mi)
% 5.52/1.33 % (515905)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=2638788385:i=421:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/421Mi)
% 5.52/1.33 % (515905)Refutation not found, incomplete strategy
% 5.52/1.33 % (515905)------------------------------
% 5.52/1.33 % (515905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.52/1.33 % (515905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.33 % (515905)CaDiCaL version: 2.1.3
% 5.52/1.33 % (515905)Termination reason: Refutation not found, incomplete strategy
% 5.52/1.33 % (515905)Time elapsed: 0.001 s
% 5.52/1.33 % (515905)Peak memory usage: 11 MB
% 5.52/1.33 % (515905)------------------------------
% 5.52/1.33 % (515905)------------------------------
% 5.52/1.33 % (515909)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
% 5.52/1.33 % (515909)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=2293712573:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/270Mi)
% 5.52/1.33 % (515890)Instruction limit reached!
% 5.52/1.33 % (515890)------------------------------
% 5.52/1.33 % (515890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.52/1.33 % (515890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.33 % (515890)CaDiCaL version: 2.1.3
% 5.52/1.33 % (515890)Termination reason: Instruction limit
% 5.52/1.33 % (515890)Termination phase: Saturation
% 5.52/1.33 % (515890)Time elapsed: 0.217 s
% 5.52/1.33 % (515890)Peak memory usage: 13 MB
% 5.52/1.33 % (515890)Instructions burned: 340 (million)
% 5.52/1.33 % (515897)Instruction limit reached!
% 5.52/1.33 % (515897)------------------------------
% 5.52/1.33 % (515897)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.52/1.33 % (515897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.38 % (515897)CaDiCaL version: 2.1.3
% 5.52/1.38 % (515897)Termination reason: Instruction limit
% 5.52/1.38 % (515897)Termination phase: Saturation
% 5.52/1.38 % (515897)Time elapsed: 0.185 s
% 5.52/1.38 % (515897)Peak memory usage: 12 MB
% 5.52/1.38 % (515897)Instructions burned: 375 (million)
% 5.52/1.38 % (515911)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3212869260:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/31Mi)
% 5.52/1.38 % (515886)Instruction limit reached!
% 5.52/1.38 % (515886)------------------------------
% 5.52/1.38 % (515886)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.52/1.38 % (515886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.38 % (515886)CaDiCaL version: 2.1.3
% 5.52/1.38 % (515886)Termination reason: Instruction limit
% 5.52/1.38 % (515886)Termination phase: Saturation
% 5.52/1.38 % (515886)Time elapsed: 0.283 s
% 5.52/1.38 % (515886)Peak memory usage: 14 MB
% 5.52/1.38 % (515886)Instructions burned: 338 (million)
% 5.52/1.38 % (515913)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 5.52/1.38 % (515913)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
% 5.52/1.38 % (515913)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=1407374690:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2990 on theBenchmark for (2990ds/1440Mi)
% 5.52/1.38 % (515797)Instruction limit reached!
% 5.52/1.38 % (515797)------------------------------
% 5.52/1.38 % (515797)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.52/1.38 % (515797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.38 % (515797)CaDiCaL version: 2.1.3
% 5.52/1.38 % (515797)Termination reason: Instruction limit
% 5.52/1.38 % (515797)Termination phase: Saturation
% 5.52/1.38 % (515797)Time elapsed: 0.809 s
% 5.52/1.38 % (515797)Peak memory usage: 12 MB
% 5.52/1.38 % (515797)Instructions burned: 1240 (million)
% 5.52/1.38 % (515911)Instruction limit reached!
% 5.52/1.38 % (515911)------------------------------
% 5.52/1.38 % (515911)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.52/1.38 % (515911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.38 % (515911)CaDiCaL version: 2.1.3
% 5.52/1.38 % (515911)Termination reason: Instruction limit
% 5.52/1.38 % (515911)Termination phase: Saturation
% 5.52/1.38 % (515911)Time elapsed: 0.033 s
% 5.52/1.38 % (515911)Peak memory usage: 12 MB
% 5.52/1.38 % (515911)Instructions burned: 32 (million)
% 5.52/1.38 % (515902)Instruction limit reached!
% 5.52/1.38 % (515902)------------------------------
% 5.52/1.38 % (515902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.52/1.38 % (515902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.38 % (515902)CaDiCaL version: 2.1.3
% 5.52/1.38 % (515902)Termination reason: Instruction limit
% 5.52/1.38 % (515902)Termination phase: Saturation
% 5.52/1.38 % (515902)Time elapsed: 0.117 s
% 5.52/1.38 % (515902)Peak memory usage: 12 MB
% 5.52/1.38 % (515902)Instructions burned: 272 (million)
% 5.52/1.38 % (515916)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=1993272515:i=111:add=on:fgj=on:rtra=on:fdi=1024_2989 on theBenchmark for (2989ds/111Mi)
% 5.52/1.38 % (515918)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=435261504:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/136Mi)
% 5.52/1.38 % (515918)Refutation not found, incomplete strategy
% 5.52/1.38 % (515918)------------------------------
% 5.52/1.38 % (515918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.52/1.38 % (515918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.52/1.38 % (515918)CaDiCaL version: 2.1.3
% 5.52/1.38 % (515918)Termination reason: Refutation not found, incomplete strategy
% 5.52/1.38 % (515918)Time elapsed: 0.001 s
% 5.52/1.38 % (515918)Peak memory usage: 11 MB
% 5.52/1.38 % (515918)Instructions burned: 1 (million)
% 5.52/1.38 % (515918)------------------------------
% 5.52/1.38 % (515918)------------------------------
% 5.52/1.38 % (515914)dis+10_2_sil=128000:si=on:random_seed=1964492840:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2990 on theBenchmark for (2990ds/339Mi)
% 6.27/1.51 % (515914)Refutation not found, incomplete strategy
% 6.27/1.51 % (515914)------------------------------
% 6.27/1.51 % (515914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.27/1.51 % (515914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.27/1.51 % (515914)CaDiCaL version: 2.1.3
% 6.27/1.51 % (515914)Termination reason: Refutation not found, incomplete strategy
% 6.27/1.51 % (515914)Time elapsed: 0.0000 s
% 6.27/1.51 % (515914)Peak memory usage: 11 MB
% 6.27/1.51 % (515914)------------------------------
% 6.27/1.51 % (515914)------------------------------
% 6.27/1.51 % (515922)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=507853177:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2989 on theBenchmark for (2989ds/232Mi)
% 6.27/1.51 % (515922)Refutation not found, incomplete strategy
% 6.27/1.51 % (515922)------------------------------
% 6.27/1.51 % (515922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.27/1.51 % (515922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.27/1.51 % (515922)CaDiCaL version: 2.1.3
% 6.27/1.51 % (515922)Termination reason: Refutation not found, incomplete strategy
% 6.27/1.51 % (515922)Time elapsed: 0.001 s
% 6.27/1.51 % (515922)Peak memory usage: 11 MB
% 6.27/1.51 % (515917)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=2437769681:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2989 on theBenchmark for (2989ds/122Mi)
% 6.27/1.51 % (515922)------------------------------
% 6.27/1.51 % (515922)------------------------------
% 6.27/1.51 % (515917)Refutation not found, incomplete strategy
% 6.27/1.51 % (515917)------------------------------
% 6.27/1.51 % (515917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.27/1.51 % (515917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.27/1.51 % (515917)CaDiCaL version: 2.1.3
% 6.27/1.51 % (515917)Termination reason: Refutation not found, incomplete strategy
% 6.27/1.51 % (515917)Time elapsed: 0.001 s
% 6.27/1.51 % (515917)Peak memory usage: 11 MB
% 6.27/1.51 % (515917)------------------------------
% 6.27/1.51 % (515917)------------------------------
% 6.27/1.51 % (515909)Instruction limit reached!
% 6.27/1.51 % (515909)------------------------------
% 6.27/1.51 % (515909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.27/1.51 % (515909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.27/1.51 % (515909)CaDiCaL version: 2.1.3
% 6.27/1.51 % (515909)Termination reason: Instruction limit
% 6.27/1.51 % (515909)Termination phase: Saturation
% 6.27/1.51 % (515909)Time elapsed: 0.149 s
% 6.27/1.51 % (515909)Peak memory usage: 12 MB
% 6.27/1.51 % (515909)Instructions burned: 272 (million)
% 6.27/1.51 % (515924)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=2807545911:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2989 on theBenchmark for (2989ds/1254Mi)
% 6.27/1.51 % (515924)Refutation not found, incomplete strategy
% 6.27/1.51 % (515924)------------------------------
% 6.27/1.51 % (515924)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.27/1.51 % (515924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.27/1.51 % (515924)CaDiCaL version: 2.1.3
% 6.27/1.51 % (515924)Termination reason: Refutation not found, incomplete strategy
% 6.27/1.51 % (515924)Time elapsed: 0.002 s
% 6.27/1.51 % (515924)Peak memory usage: 11 MB
% 6.27/1.51 % (515924)Instructions burned: 3 (million)
% 6.27/1.51 % (515924)------------------------------
% 6.27/1.51 % (515924)------------------------------
% 6.27/1.51 % (515927)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 6.27/1.51 % (515929)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=452928109:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/865Mi)
% 6.27/1.51 % (515927)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=4232785393:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2989 on theBenchmark for (2989ds/281Mi)
% 6.75/1.76 % (515931)lrs+10_1_sil=128000:si=on:urr=on:random_seed=4167439997:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2989 on theBenchmark for (2989ds/212Mi)
% 6.75/1.76 % (515931)Refutation not found, incomplete strategy
% 6.75/1.76 % (515931)------------------------------
% 6.75/1.76 % (515931)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.75/1.76 % (515931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.76 % (515931)CaDiCaL version: 2.1.3
% 6.75/1.76 % (515931)Termination reason: Refutation not found, incomplete strategy
% 6.75/1.76 % (515931)Time elapsed: 0.001 s
% 6.75/1.76 % (515931)Peak memory usage: 11 MB
% 6.75/1.76 % (515928)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=500313083:i=619:add=on:rtra=on_2989 on theBenchmark for (2989ds/619Mi)
% 6.75/1.76 % (515931)------------------------------
% 6.75/1.76 % (515931)------------------------------
% 6.75/1.76 % (515916)Instruction limit reached!
% 6.75/1.76 % (515916)------------------------------
% 6.75/1.76 % (515916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.75/1.76 % (515916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.76 % (515916)CaDiCaL version: 2.1.3
% 6.75/1.76 % (515916)Termination reason: Instruction limit
% 6.75/1.76 % (515916)Termination phase: Saturation
% 6.75/1.76 % (515916)Time elapsed: 0.077 s
% 6.75/1.76 % (515916)Peak memory usage: 12 MB
% 6.75/1.76 % (515916)Instructions burned: 112 (million)
% 6.75/1.76 % (515928)Refutation not found, incomplete strategy
% 6.75/1.76 % (515928)------------------------------
% 6.75/1.76 % (515928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.75/1.76 % (515928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.76 % (515928)CaDiCaL version: 2.1.3
% 6.75/1.76 % (515928)Termination reason: Refutation not found, incomplete strategy
% 6.75/1.76 % (515928)Time elapsed: 0.002 s
% 6.75/1.76 % (515928)Peak memory usage: 12 MB
% 6.75/1.76 % (515928)Instructions burned: 2 (million)
% 6.75/1.76 % (515928)------------------------------
% 6.75/1.76 % (515928)------------------------------
% 6.75/1.76 % (515936)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=4080983552:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/130Mi)
% 6.75/1.76 % (515936)Refutation not found, incomplete strategy
% 6.75/1.76 % (515936)------------------------------
% 6.75/1.76 % (515936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.75/1.76 % (515936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.76 % (515936)CaDiCaL version: 2.1.3
% 6.75/1.76 % (515937)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=4071524316:st=1.5:i=346:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/346Mi)
% 6.75/1.76 % (515936)Termination reason: Refutation not found, incomplete strategy
% 6.75/1.76 % (515936)Time elapsed: 0.001 s
% 6.75/1.76 % (515936)Peak memory usage: 11 MB
% 6.75/1.76 % (515936)------------------------------
% 6.75/1.76 % (515936)------------------------------
% 6.75/1.76 % (515937)Refutation not found, incomplete strategy
% 6.75/1.76 % (515937)------------------------------
% 6.75/1.76 % (515937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.75/1.76 % (515937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.76 % (515937)CaDiCaL version: 2.1.3
% 6.75/1.76 % (515937)Termination reason: Refutation not found, incomplete strategy
% 6.75/1.76 % (515937)Time elapsed: 0.001 s
% 6.75/1.76 % (515937)Peak memory usage: 11 MB
% 6.75/1.76 % (515937)Instructions burned: 1 (million)
% 6.75/1.76 % (515937)------------------------------
% 6.75/1.76 % (515937)------------------------------
% 6.75/1.76 % (515941)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2622397335:i=75:ep=R:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/75Mi)
% 6.75/1.76 % (515942)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=408193473:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/387Mi)
% 6.75/1.76 % (515942)Refutation not found, incomplete strategy
% 6.75/1.76 % (515942)------------------------------
% 6.75/1.76 % (515942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.75/1.76 % (515942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/1.93 % (515942)CaDiCaL version: 2.1.3
% 8.14/1.93 % (515942)Termination reason: Refutation not found, incomplete strategy
% 8.14/1.93 % (515942)Time elapsed: 0.001 s
% 8.14/1.93 % (515942)Peak memory usage: 11 MB
% 8.14/1.93 % (515942)Instructions burned: 1 (million)
% 8.14/1.93 % (515942)------------------------------
% 8.14/1.93 % (515942)------------------------------
% 8.14/1.93 % (515938)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=1483133918:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2988 on theBenchmark for (2988ds/152Mi)
% 8.14/1.93 % (515946)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=2570405538:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2988 on theBenchmark for (2988ds/148Mi)
% 8.14/1.93 % (515941)Instruction limit reached!
% 8.14/1.93 % (515941)------------------------------
% 8.14/1.93 % (515941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.14/1.93 % (515941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/1.93 % (515941)CaDiCaL version: 2.1.3
% 8.14/1.93 % (515941)Termination reason: Instruction limit
% 8.14/1.93 % (515941)Termination phase: Saturation
% 8.14/1.93 % (515941)Time elapsed: 0.035 s
% 8.14/1.93 % (515941)Peak memory usage: 12 MB
% 8.14/1.93 % (515941)Instructions burned: 77 (million)
% 8.14/1.93 % (515948)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=517680544:i=161:piset=and:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/161Mi)
% 8.14/1.93 % (515938)Instruction limit reached!
% 8.14/1.93 % (515938)------------------------------
% 8.14/1.93 % (515938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.14/1.93 % (515938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/1.93 % (515938)CaDiCaL version: 2.1.3
% 8.14/1.93 % (515938)Termination reason: Instruction limit
% 8.14/1.93 % (515938)Termination phase: Saturation
% 8.14/1.93 % (515938)Time elapsed: 0.076 s
% 8.14/1.93 % (515938)Peak memory usage: 12 MB
% 8.14/1.93 % (515938)Instructions burned: 153 (million)
% 8.14/1.93 % (515946)Instruction limit reached!
% 8.14/1.93 % (515946)------------------------------
% 8.14/1.93 % (515946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.14/1.93 % (515946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/1.93 % (515946)CaDiCaL version: 2.1.3
% 8.14/1.93 % (515946)Termination reason: Instruction limit
% 8.14/1.93 % (515946)Termination phase: Saturation
% 8.14/1.93 % (515946)Time elapsed: 0.067 s
% 8.14/1.93 % (515946)Peak memory usage: 12 MB
% 8.14/1.93 % (515946)Instructions burned: 149 (million)
% 8.14/1.93 % (515950)lrs+10_1_sil=128000:si=on:random_seed=1292122669:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/888Mi)
% 8.14/1.93 % (515950)Refutation not found, incomplete strategy
% 8.14/1.93 % (515950)------------------------------
% 8.14/1.93 % (515950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.14/1.93 % (515950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/1.93 % (515950)CaDiCaL version: 2.1.3
% 8.14/1.93 % (515950)Termination reason: Refutation not found, incomplete strategy
% 8.14/1.93 % (515950)Time elapsed: 0.001 s
% 8.14/1.93 % (515950)Peak memory usage: 11 MB
% 8.14/1.93 % (515950)------------------------------
% 8.14/1.93 % (515950)------------------------------
% 8.14/1.93 % (515951)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=2037279727:i=136:add=on:ins=4:rtra=on:sup=off_2987 on theBenchmark for (2987ds/136Mi)
% 8.14/1.93 % (515948)Instruction limit reached!
% 8.14/1.93 % (515948)------------------------------
% 8.14/1.93 % (515948)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.14/1.93 % (515948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/1.93 % (515948)CaDiCaL version: 2.1.3
% 8.14/1.93 % (515948)Termination reason: Instruction limit
% 8.14/1.93 % (515948)Termination phase: Saturation
% 8.14/1.93 % (515948)Time elapsed: 0.063 s
% 8.14/1.93 % (515948)Peak memory usage: 12 MB
% 8.14/1.93 % (515948)Instructions burned: 163 (million)
% 8.14/1.93 % (515953)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=1524883173:i=88:s2at=3:nm=2:rtra=on:rawr=on_2987 on theBenchmark for (2987ds/88Mi)
% 8.14/1.93 % (515955)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=1904868890:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2987 on theBenchmark for (2987ds/93Mi)
% 10.76/2.10 % (515953)Instruction limit reached!
% 10.76/2.10 % (515953)------------------------------
% 10.76/2.10 % (515953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.76/2.10 % (515953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.76/2.10 % (515953)CaDiCaL version: 2.1.3
% 10.76/2.10 % (515953)Termination reason: Instruction limit
% 10.76/2.10 % (515953)Termination phase: Saturation
% 10.76/2.10 % (515953)Time elapsed: 0.041 s
% 10.76/2.10 % (515953)Peak memory usage: 12 MB
% 10.76/2.10 % (515953)Instructions burned: 90 (million)
% 10.76/2.10 % (515927)Instruction limit reached!
% 10.76/2.10 % (515927)------------------------------
% 10.76/2.10 % (515927)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.76/2.10 % (515927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.76/2.10 % (515927)CaDiCaL version: 2.1.3
% 10.76/2.10 % (515927)Termination reason: Instruction limit
% 10.76/2.10 % (515927)Termination phase: Saturation
% 10.76/2.10 % (515927)Time elapsed: 0.210 s
% 10.76/2.10 % (515927)Peak memory usage: 13 MB
% 10.76/2.10 % (515927)Instructions burned: 282 (million)
% 10.76/2.10 % (515955)Instruction limit reached!
% 10.76/2.10 % (515955)------------------------------
% 10.76/2.10 % (515955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.76/2.10 % (515955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.76/2.10 % (515955)CaDiCaL version: 2.1.3
% 10.76/2.10 % (515955)Termination reason: Instruction limit
% 10.76/2.10 % (515955)Termination phase: Saturation
% 10.76/2.10 % (515955)Time elapsed: 0.047 s
% 10.76/2.10 % (515955)Peak memory usage: 12 MB
% 10.76/2.10 % (515955)Instructions burned: 93 (million)
% 10.76/2.10 % (515951)Instruction limit reached!
% 10.76/2.10 % (515951)------------------------------
% 10.76/2.10 % (515951)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.76/2.10 % (515951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.76/2.10 % (515951)CaDiCaL version: 2.1.3
% 10.76/2.10 % (515951)Termination reason: Instruction limit
% 10.76/2.10 % (515951)Termination phase: Saturation
% 10.76/2.10 % (515951)Time elapsed: 0.078 s
% 10.76/2.10 % (515951)Peak memory usage: 12 MB
% 10.76/2.10 % (515951)Instructions burned: 136 (million)
% 10.76/2.10 % (515958)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1560959093:i=2186:rtra=on:ixr=off_2986 on theBenchmark for (2986ds/2186Mi)
% 10.76/2.10 % (515959)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2505875213:s2a=on:i=240:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/240Mi)
% 10.76/2.10 % (515960)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=1754867220:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2986 on theBenchmark for (2986ds/805Mi)
% 10.76/2.10 % (515961)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 10.76/2.10 % (515961)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=1645489866:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2986 on theBenchmark for (2986ds/391Mi)
% 10.76/2.10 % (515961)Refutation not found, incomplete strategy
% 10.76/2.10 % (515961)------------------------------
% 10.76/2.10 % (515961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.76/2.10 % (515961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.76/2.10 % (515961)CaDiCaL version: 2.1.3
% 10.76/2.10 % (515961)Termination reason: Refutation not found, incomplete strategy
% 10.76/2.10 % (515961)Time elapsed: 0.001 s
% 10.76/2.10 % (515961)Peak memory usage: 11 MB
% 10.76/2.10 % (515961)Instructions burned: 1 (million)
% 10.76/2.10 % (515961)------------------------------
% 10.76/2.10 % (515961)------------------------------
% 10.76/2.10 % (515966)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=809220123:i=355:av=off:fsr=off:rtra=on:ixr=off_2986 on theBenchmark for (2986ds/355Mi)
% 10.76/2.10 % (515959)Instruction limit reached!
% 10.76/2.10 % (515959)------------------------------
% 10.76/2.10 % (515959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.76/2.10 % (515959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.43/2.19 % (515959)CaDiCaL version: 2.1.3
% 11.43/2.19 % (515959)Termination reason: Instruction limit
% 11.43/2.19 % (515959)Termination phase: Saturation
% 11.43/2.19 % (515959)Time elapsed: 0.180 s
% 11.43/2.19 % (515959)Peak memory usage: 12 MB
% 11.43/2.19 % (515959)Instructions burned: 242 (million)
% 11.43/2.19 % (515968)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=408776136:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/314Mi)
% 11.43/2.19 % (515968)Refutation not found, incomplete strategy
% 11.43/2.19 % (515968)------------------------------
% 11.43/2.19 % (515968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.43/2.19 % (515968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.43/2.19 % (515968)CaDiCaL version: 2.1.3
% 11.43/2.19 % (515968)Termination reason: Refutation not found, incomplete strategy
% 11.43/2.19 % (515968)Time elapsed: 0.001 s
% 11.43/2.19 % (515968)Peak memory usage: 11 MB
% 11.43/2.19 % (515968)------------------------------
% 11.43/2.19 % (515968)------------------------------
% 11.43/2.19 % (515929)Instruction limit reached!
% 11.43/2.19 % (515929)------------------------------
% 11.43/2.19 % (515929)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.43/2.19 % (515929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.43/2.19 % (515929)CaDiCaL version: 2.1.3
% 11.43/2.19 % (515929)Termination reason: Instruction limit
% 11.43/2.19 % (515929)Termination phase: Saturation
% 11.43/2.19 % (515929)Time elapsed: 0.458 s
% 11.43/2.19 % (515929)Peak memory usage: 15 MB
% 11.43/2.19 % (515929)Instructions burned: 865 (million)
% 11.43/2.19 % (515966)Instruction limit reached!
% 11.43/2.19 % (515966)------------------------------
% 11.43/2.19 % (515966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.43/2.19 % (515966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.43/2.19 % (515966)CaDiCaL version: 2.1.3
% 11.43/2.19 % (515966)Termination reason: Instruction limit
% 11.43/2.19 % (515966)Termination phase: Saturation
% 11.43/2.19 % (515966)Time elapsed: 0.182 s
% 11.43/2.19 % (515966)Peak memory usage: 12 MB
% 11.43/2.19 % (515966)Instructions burned: 356 (million)
% 11.43/2.19 % (515970)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=2567730815:s2a=on:i=251:fsr=off:rtra=on_2984 on theBenchmark for (2984ds/251Mi)
% 11.43/2.19 % (515971)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=4090917035: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_2984 on theBenchmark for (2984ds/2470Mi)
% 11.43/2.19 % (515972)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=3500060808:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2984 on theBenchmark for (2984ds/673Mi)
% 11.43/2.19 % (515913)Instruction limit reached!
% 11.43/2.19 % (515913)------------------------------
% 11.43/2.19 % (515913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.43/2.19 % (515913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.43/2.19 % (515913)CaDiCaL version: 2.1.3
% 11.43/2.19 % (515913)Termination reason: Instruction limit
% 11.43/2.19 % (515913)Termination phase: Saturation
% 11.43/2.19 % (515913)Time elapsed: 0.595 s
% 11.43/2.19 % (515913)Peak memory usage: 13 MB
% 11.43/2.19 % (515913)Instructions burned: 1440 (million)
% 11.43/2.19 % (515976)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=2039724380:i=116:ep=RSTC:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/116Mi)
% 11.43/2.19 % (515976)Instruction limit reached!
% 11.43/2.19 % (515976)------------------------------
% 11.43/2.19 % (515976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.43/2.19 % (515976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.43/2.19 % (515976)CaDiCaL version: 2.1.3
% 11.43/2.19 % (515976)Termination reason: Instruction limit
% 11.43/2.19 % (515976)Termination phase: Saturation
% 11.43/2.19 % (515976)Time elapsed: 0.051 s
% 11.43/2.19 % (515976)Peak memory usage: 12 MB
% 11.43/2.19 % (515976)Instructions burned: 119 (million)
% 11.43/2.19 % (515982)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3751109910: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)
% 12.17/2.39 % (515960)Instruction limit reached!
% 12.17/2.39 % (515960)------------------------------
% 12.17/2.39 % (515960)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.17/2.39 % (515960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.17/2.39 % (515960)CaDiCaL version: 2.1.3
% 12.17/2.39 % (515960)Termination reason: Instruction limit
% 12.17/2.39 % (515960)Termination phase: Saturation
% 12.17/2.39 % (515960)Time elapsed: 0.339 s
% 12.17/2.39 % (515960)Peak memory usage: 13 MB
% 12.17/2.39 % (515960)Instructions burned: 805 (million)
% 12.17/2.39 % (515984)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=1021241307: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_2982 on theBenchmark for (2982ds/30Mi)
% 12.17/2.39 % (515984)Instruction limit reached!
% 12.17/2.39 % (515984)------------------------------
% 12.17/2.39 % (515984)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.17/2.39 % (515984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.17/2.39 % (515984)CaDiCaL version: 2.1.3
% 12.17/2.39 % (515984)Termination reason: Instruction limit
% 12.17/2.39 % (515984)Termination phase: Saturation
% 12.17/2.39 % (515984)Time elapsed: 0.014 s
% 12.17/2.39 % (515984)Peak memory usage: 12 MB
% 12.17/2.39 % (515984)Instructions burned: 33 (million)
% 12.17/2.39 % (515970)Instruction limit reached!
% 12.17/2.39 % (515970)------------------------------
% 12.17/2.39 % (515970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.17/2.39 % (515970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.17/2.39 % (515970)CaDiCaL version: 2.1.3
% 12.17/2.39 % (515970)Termination reason: Instruction limit
% 12.17/2.39 % (515970)Termination phase: Saturation
% 12.17/2.39 % (515970)Time elapsed: 0.164 s
% 12.17/2.39 % (515970)Peak memory usage: 12 MB
% 12.17/2.39 % (515970)Instructions burned: 251 (million)
% 12.17/2.39 % (515986)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 12.17/2.39 % (515986)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=1118065557:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2982 on theBenchmark for (2982ds/39Mi)
% 12.17/2.39 % (515987)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=4104949424:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2982 on theBenchmark for (2982ds/365Mi)
% 12.17/2.39 % (515986)Instruction limit reached!
% 12.17/2.39 % (515986)------------------------------
% 12.17/2.39 % (515986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.17/2.39 % (515986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.17/2.39 % (515986)CaDiCaL version: 2.1.3
% 12.17/2.39 % (515986)Termination reason: Instruction limit
% 12.17/2.39 % (515986)Termination phase: Saturation
% 12.17/2.39 % (515986)Time elapsed: 0.020 s
% 12.17/2.39 % (515986)Peak memory usage: 12 MB
% 12.17/2.39 % (515986)Instructions burned: 40 (million)
% 12.17/2.39 % (515990)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=7030634:i=158:av=off:rtra=on_2982 on theBenchmark for (2982ds/158Mi)
% 12.17/2.39 % (515982)Instruction limit reached!
% 12.17/2.39 % (515982)------------------------------
% 12.17/2.39 % (515982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.17/2.39 % (515982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.17/2.39 % (515982)CaDiCaL version: 2.1.3
% 12.17/2.39 % (515982)Termination reason: Instruction limit
% 12.17/2.39 % (515982)Termination phase: Saturation
% 12.17/2.39 % (515982)Time elapsed: 0.118 s
% 12.17/2.39 % (515982)Peak memory usage: 13 MB
% 12.17/2.39 % (515982)Instructions burned: 272 (million)
% 12.17/2.39 % (515992)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
% 12.17/2.39 % (515992)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=654587761:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2981 on theBenchmark for (2981ds/252Mi)
% 12.17/2.39 % (515990)Instruction limit reached!
% 12.17/2.39 % (515990)------------------------------
% 12.80/2.45 % (515990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.80/2.45 % (515990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.80/2.45 % (515990)CaDiCaL version: 2.1.3
% 12.80/2.45 % (515990)Termination reason: Instruction limit
% 12.80/2.45 % (515990)Termination phase: Saturation
% 12.80/2.45 % (515990)Time elapsed: 0.068 s
% 12.80/2.45 % (515990)Peak memory usage: 11 MB
% 12.80/2.45 % (515990)Instructions burned: 160 (million)
% 12.80/2.45 % (515994)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=2867226626:i=213:rtra=on:ss=axioms_2981 on theBenchmark for (2981ds/213Mi)
% 12.80/2.45 % (515994)Refutation not found, incomplete strategy
% 12.80/2.45 % (515994)------------------------------
% 12.80/2.45 % (515994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.80/2.45 % (515994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.80/2.45 % (515994)CaDiCaL version: 2.1.3
% 12.80/2.45 % (515994)Termination reason: Refutation not found, incomplete strategy
% 12.80/2.45 % (515994)Time elapsed: 0.001 s
% 12.80/2.45 % (515994)Peak memory usage: 11 MB
% 12.80/2.45 % (515994)------------------------------
% 12.80/2.45 % (515994)------------------------------
% 12.80/2.45 % (515987)Instruction limit reached!
% 12.80/2.45 % (515987)------------------------------
% 12.80/2.45 % (515987)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.80/2.45 % (515987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.80/2.45 % (515987)CaDiCaL version: 2.1.3
% 12.80/2.45 % (515987)Termination reason: Instruction limit
% 12.80/2.45 % (515987)Termination phase: Saturation
% 12.80/2.45 % (515987)Time elapsed: 0.150 s
% 12.80/2.45 % (515987)Peak memory usage: 13 MB
% 12.80/2.45 % (515987)Instructions burned: 365 (million)
% 12.80/2.45 % (515996)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=3929954839:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2981 on theBenchmark for (2981ds/160Mi)
% 12.80/2.45 % (515996)Refutation not found, incomplete strategy
% 12.80/2.45 % (515996)------------------------------
% 12.80/2.45 % (515996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.80/2.45 % (515996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.80/2.45 % (515996)CaDiCaL version: 2.1.3
% 12.80/2.45 % (515996)Termination reason: Refutation not found, incomplete strategy
% 12.80/2.45 % (515996)Time elapsed: 0.001 s
% 12.80/2.45 % (515996)Peak memory usage: 11 MB
% 12.80/2.45 % (515996)Instructions burned: 1 (million)
% 12.80/2.45 % (515996)------------------------------
% 12.80/2.45 % (515996)------------------------------
% 12.80/2.45 % (515997)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=1970482604:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/763Mi)
% 12.80/2.45 % (515999)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 12.80/2.45 % (515972)Instruction limit reached!
% 12.80/2.45 % (515972)------------------------------
% 12.80/2.45 % (515972)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.80/2.45 % (515972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.80/2.45 % (515972)CaDiCaL version: 2.1.3
% 12.80/2.45 % (515972)Termination reason: Instruction limit
% 12.80/2.45 % (515972)Termination phase: Saturation
% 12.80/2.45 % (515972)Time elapsed: 0.358 s
% 12.80/2.45 % (515972)Peak memory usage: 12 MB
% 12.80/2.45 % (515972)Instructions burned: 673 (million)
% 12.80/2.45 % (515992)Instruction limit reached!
% 12.80/2.45 % (515992)------------------------------
% 12.80/2.45 % (515992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.80/2.45 % (515992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.80/2.45 % (515992)CaDiCaL version: 2.1.3
% 12.80/2.45 % (515992)Termination reason: Instruction limit
% 12.80/2.45 % (515992)Termination phase: Saturation
% 12.80/2.45 % (515992)Time elapsed: 0.126 s
% 12.80/2.45 % (515992)Peak memory usage: 12 MB
% 12.80/2.45 % (515992)Instructions burned: 253 (million)
% 12.80/2.45 % (515999)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=334754756:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2980 on theBenchmark for (2980ds/237Mi)
% 13.81/2.52 % (515999)Refutation not found, incomplete strategy
% 13.81/2.52 % (515999)------------------------------
% 13.81/2.52 % (515999)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.81/2.52 % (515999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.81/2.52 % (515999)CaDiCaL version: 2.1.3
% 13.81/2.52 % (515999)Termination reason: Refutation not found, incomplete strategy
% 13.81/2.52 % (515999)Time elapsed: 0.001 s
% 13.81/2.52 % (515999)Peak memory usage: 11 MB
% 13.81/2.52 % (515999)------------------------------
% 13.81/2.52 % (515999)------------------------------
% 13.81/2.52 % (516001)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=2278422122:s2a=on:i=386:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/386Mi)
% 13.81/2.52 % (516004)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=3818009298:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2980 on theBenchmark for (2980ds/567Mi)
% 13.81/2.52 % (516004)Refutation not found, incomplete strategy
% 13.81/2.52 % (516004)------------------------------
% 13.81/2.52 % (516004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.81/2.52 % (516004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.81/2.52 % (516004)CaDiCaL version: 2.1.3
% 13.81/2.52 % (516004)Termination reason: Refutation not found, incomplete strategy
% 13.81/2.52 % (516004)Time elapsed: 0.001 s
% 13.81/2.52 % (516004)Peak memory usage: 11 MB
% 13.81/2.52 % (516004)Instructions burned: 1 (million)
% 13.81/2.52 % (516004)------------------------------
% 13.81/2.52 % (516004)------------------------------
% 13.81/2.52 % (516003)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=705853702:i=300:piset=and:nm=32:rtra=on_2980 on theBenchmark for (2980ds/300Mi)
% 13.81/2.52 % (516007)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=3946811122:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2980 on theBenchmark for (2980ds/379Mi)
% 13.81/2.52 % (516007)Refutation not found, incomplete strategy
% 13.81/2.52 % (516007)------------------------------
% 13.81/2.52 % (516007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.81/2.52 % (516007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.81/2.52 % (516007)CaDiCaL version: 2.1.3
% 13.81/2.52 % (516007)Termination reason: Refutation not found, incomplete strategy
% 13.81/2.52 % (516007)Time elapsed: 0.001 s
% 13.81/2.52 % (516007)Peak memory usage: 11 MB
% 13.81/2.52 % (516007)------------------------------
% 13.81/2.52 % (516007)------------------------------
% 13.81/2.52 % (516010)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=3448029718: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)
% 13.81/2.52 % (515958)Instruction limit reached!
% 13.81/2.52 % (515958)------------------------------
% 13.81/2.52 % (515958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.81/2.52 % (515958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.81/2.52 % (515958)CaDiCaL version: 2.1.3
% 13.81/2.52 % (515958)Termination reason: Instruction limit
% 13.81/2.52 % (515958)Termination phase: Saturation
% 13.81/2.52 % (515958)Time elapsed: 0.728 s
% 13.81/2.52 % (515958)Peak memory usage: 13 MB
% 13.81/2.52 % (515958)Instructions burned: 2188 (million)
% 13.81/2.52 % (516012)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=886077396:i=478:bd=all:rtra=on_2979 on theBenchmark for (2979ds/478Mi)
% 13.81/2.52 % (516012)Refutation not found, incomplete strategy
% 13.81/2.52 % (516012)------------------------------
% 13.81/2.52 % (516012)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.81/2.52 % (516012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.81/2.52 % (516012)CaDiCaL version: 2.1.3
% 13.81/2.52 % (516012)Termination reason: Refutation not found, incomplete strategy
% 13.81/2.52 % (516012)Time elapsed: 0.0000 s
% 13.81/2.52 % (516012)Peak memory usage: 12 MB
% 13.81/2.52 % (516012)Instructions burned: 1 (million)
% 13.81/2.52 % (516012)------------------------------
% 13.81/2.52 % (516012)------------------------------
% 13.81/2.52 % (516014)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1836872795:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2979 on theBenchmark for (2979ds/445Mi)
% 13.81/2.52 % (516003)Instruction limit reached!
% 13.81/2.52 % (516003)------------------------------
% 13.81/2.52 % (516003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.28/2.68 % (516003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.28/2.68 % (516003)CaDiCaL version: 2.1.3
% 14.28/2.68 % (516003)Termination reason: Instruction limit
% 14.28/2.68 % (516003)Termination phase: Saturation
% 14.28/2.68 % (516003)Time elapsed: 0.160 s
% 14.28/2.68 % (516003)Peak memory usage: 12 MB
% 14.28/2.68 % (516003)Instructions burned: 302 (million)
% 14.28/2.68 % (516001)Instruction limit reached!
% 14.28/2.68 % (516001)------------------------------
% 14.28/2.68 % (516001)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.28/2.68 % (516001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.28/2.68 % (516001)CaDiCaL version: 2.1.3
% 14.28/2.68 % (516001)Termination reason: Instruction limit
% 14.28/2.68 % (516001)Termination phase: Saturation
% 14.28/2.68 % (516001)Time elapsed: 0.177 s
% 14.28/2.68 % (516001)Peak memory usage: 12 MB
% 14.28/2.68 % (516001)Instructions burned: 386 (million)
% 14.28/2.68 % (516017)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=3915767401:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2978 on theBenchmark for (2978ds/71Mi)
% 14.28/2.68 % (516018)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2616493664:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2978 on theBenchmark for (2978ds/302Mi)
% 14.28/2.68 % (516018)Refutation not found, incomplete strategy
% 14.28/2.68 % (516018)------------------------------
% 14.28/2.68 % (516018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.28/2.68 % (516018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.28/2.68 % (516018)CaDiCaL version: 2.1.3
% 14.28/2.68 % (516018)Termination reason: Refutation not found, incomplete strategy
% 14.28/2.68 % (516018)Time elapsed: 0.001 s
% 14.28/2.68 % (516018)Peak memory usage: 11 MB
% 14.28/2.68 % (516018)------------------------------
% 14.28/2.68 % (516018)------------------------------
% 14.28/2.68 % (516021)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=3294961646:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2978 on theBenchmark for (2978ds/4980Mi)
% 14.28/2.68 % (516021)Refutation not found, incomplete strategy
% 14.28/2.68 % (516021)------------------------------
% 14.28/2.68 % (516021)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.28/2.68 % (516021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.28/2.68 % (516021)CaDiCaL version: 2.1.3
% 14.28/2.68 % (516021)Termination reason: Refutation not found, incomplete strategy
% 14.28/2.68 % (516021)Time elapsed: 0.001 s
% 14.28/2.68 % (516021)Peak memory usage: 11 MB
% 14.28/2.68 % (516021)------------------------------
% 14.28/2.68 % (516021)------------------------------
% 14.28/2.68 % (516017)Instruction limit reached!
% 14.28/2.68 % (516017)------------------------------
% 14.28/2.68 % (516017)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.28/2.68 % (516017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.28/2.68 % (516017)CaDiCaL version: 2.1.3
% 14.28/2.68 % (516017)Termination reason: Instruction limit
% 14.28/2.68 % (516017)Termination phase: Saturation
% 14.28/2.68 % (516017)Time elapsed: 0.038 s
% 14.28/2.68 % (516017)Peak memory usage: 12 MB
% 14.28/2.68 % (516017)Instructions burned: 72 (million)
% 14.28/2.68 % (516023)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
% 14.28/2.68 % (516023)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 14.28/2.68 % (516010)Instruction limit reached!
% 14.28/2.68 % (516010)------------------------------
% 14.28/2.68 % (516010)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.28/2.68 % (516010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.28/2.68 % (516010)CaDiCaL version: 2.1.3
% 14.28/2.68 % (516010)Termination reason: Instruction limit
% 14.28/2.68 % (516010)Termination phase: Saturation
% 14.28/2.68 % (516010)Time elapsed: 0.192 s
% 14.28/2.68 % (516010)Peak memory usage: 12 MB
% 14.28/2.68 % (516010)Instructions burned: 429 (million)
% 14.28/2.68 % (516023)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2250505819:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2977 on theBenchmark for (2977ds/100Mi)
% 15.94/2.91 % (515997)Instruction limit reached!
% 15.94/2.91 % (515997)------------------------------
% 15.94/2.91 % (515997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.94/2.91 % (515997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.94/2.91 % (515997)CaDiCaL version: 2.1.3
% 15.94/2.91 % (515997)Termination reason: Instruction limit
% 15.94/2.91 % (515997)Termination phase: Saturation
% 15.94/2.91 % (515997)Time elapsed: 0.285 s
% 15.94/2.91 % (515997)Peak memory usage: 14 MB
% 15.94/2.91 % (515997)Instructions burned: 766 (million)
% 15.94/2.91 % (516024)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=1316833933:i=76:piset=equals:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/76Mi)
% 15.94/2.91 % (516026)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=8297138:i=289:rtra=on_2977 on theBenchmark for (2977ds/289Mi)
% 15.94/2.91 % (516026)Refutation not found, incomplete strategy
% 15.94/2.91 % (516026)------------------------------
% 15.94/2.91 % (516026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.94/2.91 % (516026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.94/2.91 % (516026)CaDiCaL version: 2.1.3
% 15.94/2.91 % (516026)Termination reason: Refutation not found, incomplete strategy
% 15.94/2.91 % (516026)Time elapsed: 0.001 s
% 15.94/2.91 % (516026)Peak memory usage: 11 MB
% 15.94/2.91 % (516026)Instructions burned: 1 (million)
% 15.94/2.91 % (516026)------------------------------
% 15.94/2.91 % (516026)------------------------------
% 15.94/2.91 % (516027)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=1965300933:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2977 on theBenchmark for (2977ds/493Mi)
% 15.94/2.91 % (516014)Instruction limit reached!
% 15.94/2.91 % (516014)------------------------------
% 15.94/2.91 % (516014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.94/2.91 % (516014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.94/2.91 % (516014)CaDiCaL version: 2.1.3
% 15.94/2.91 % (516014)Termination reason: Instruction limit
% 15.94/2.91 % (516014)Termination phase: Saturation
% 15.94/2.91 % (516014)Time elapsed: 0.168 s
% 15.94/2.91 % (516014)Peak memory usage: 14 MB
% 15.94/2.91 % (516014)Instructions burned: 448 (million)
% 15.94/2.91 % (516023)Instruction limit reached!
% 15.94/2.91 % (516023)------------------------------
% 15.94/2.91 % (516023)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.94/2.91 % (516023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.94/2.91 % (516023)CaDiCaL version: 2.1.3
% 15.94/2.91 % (516023)Termination reason: Instruction limit
% 15.94/2.91 % (516023)Termination phase: Saturation
% 15.94/2.91 % (516023)Time elapsed: 0.045 s
% 15.94/2.91 % (516023)Peak memory usage: 12 MB
% 15.94/2.91 % (516023)Instructions burned: 102 (million)
% 15.94/2.91 % (516024)Instruction limit reached!
% 15.94/2.91 % (516024)------------------------------
% 15.94/2.91 % (516024)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.94/2.91 % (516024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.94/2.91 % (516024)CaDiCaL version: 2.1.3
% 15.94/2.91 % (516024)Termination reason: Instruction limit
% 15.94/2.91 % (516024)Termination phase: Saturation
% 15.94/2.91 % (516024)Time elapsed: 0.036 s
% 15.94/2.91 % (516024)Peak memory usage: 12 MB
% 15.94/2.91 % (516024)Instructions burned: 77 (million)
% 15.94/2.91 % (516030)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=173969391:cond=on:i=34:hud=10:nm=10:rtra=on_2977 on theBenchmark for (2977ds/34Mi)
% 15.94/2.91 % (516033)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=2789715406:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2977 on theBenchmark for (2977ds/670Mi)
% 15.94/2.91 % (516034)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=893251485:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2977 on theBenchmark for (2977ds/647Mi)
% 15.94/2.91 % (516032)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 15.94/2.91 % (516034)Refutation not found, incomplete strategy
% 15.94/3.05 % (516034)------------------------------
% 15.94/3.05 % (516034)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.94/3.05 % (516034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.94/3.05 % (516034)CaDiCaL version: 2.1.3
% 15.94/3.05 % (516034)Termination reason: Refutation not found, incomplete strategy
% 15.94/3.05 % (516034)Time elapsed: 0.0000 s
% 15.94/3.05 % (516034)Peak memory usage: 11 MB
% 15.94/3.05 % (516034)------------------------------
% 15.94/3.05 % (516034)------------------------------
% 15.94/3.05 % (516032)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=2659143980:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2977 on theBenchmark for (2977ds/372Mi)
% 15.94/3.05 % (516032)Refutation not found, incomplete strategy
% 15.94/3.05 % (516032)------------------------------
% 15.94/3.05 % (516032)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.94/3.05 % (516032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.94/3.05 % (516032)CaDiCaL version: 2.1.3
% 15.94/3.05 % (516032)Termination reason: Refutation not found, incomplete strategy
% 15.94/3.05 % (516032)Time elapsed: 0.006 s
% 15.94/3.05 % (516032)Peak memory usage: 11 MB
% 15.94/3.05 % (516032)Instructions burned: 2 (million)
% 15.94/3.05 % (516032)------------------------------
% 15.94/3.05 % (516032)------------------------------
% 15.94/3.05 % (516030)Instruction limit reached!
% 15.94/3.05 % (516030)------------------------------
% 15.94/3.05 % (516030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.94/3.05 % (516030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.94/3.05 % (516030)CaDiCaL version: 2.1.3
% 15.94/3.05 % (516030)Termination reason: Instruction limit
% 15.94/3.05 % (516030)Termination phase: Saturation
% 15.94/3.05 % (516030)Time elapsed: 0.031 s
% 15.94/3.05 % (516030)Peak memory usage: 12 MB
% 15.94/3.05 % (516030)Instructions burned: 34 (million)
% 15.94/3.05 % (516038)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=1145742655:i=857:add=off:kws=frequency:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/857Mi)
% 15.94/3.05 % (516041)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=752327947:i=285:hud=10:bd=all:rtra=on:ss=axioms_2976 on theBenchmark for (2976ds/285Mi)
% 15.94/3.05 % (516040)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=1003389874:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2976 on theBenchmark for (2976ds/693Mi)
% 15.94/3.05 % (516041)Refutation not found, incomplete strategy
% 15.94/3.05 % (516041)------------------------------
% 15.94/3.05 % (516041)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.94/3.05 % (516041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.94/3.05 % (516041)CaDiCaL version: 2.1.3
% 15.94/3.05 % (516041)Termination reason: Refutation not found, incomplete strategy
% 15.94/3.05 % (516041)Time elapsed: 0.002 s
% 15.94/3.05 % (516041)Peak memory usage: 11 MB
% 15.94/3.05 % (516041)Instructions burned: 1 (million)
% 15.94/3.05 % (516041)------------------------------
% 15.94/3.05 % (516041)------------------------------
% 15.94/3.05 % (516045)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 15.94/3.05 % (516045)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=1697501982: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)
% 15.94/3.05 % (516045)Instruction limit reached!
% 15.94/3.05 % (516045)------------------------------
% 15.94/3.05 % (516045)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.94/3.05 % (516045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.94/3.05 % (516045)CaDiCaL version: 2.1.3
% 15.94/3.05 % (516045)Termination reason: Instruction limit
% 15.94/3.05 % (516045)Termination phase: Saturation
% 15.94/3.05 % (516045)Time elapsed: 0.047 s
% 15.94/3.05 % (516045)Peak memory usage: 12 MB
% 15.94/3.05 % (516045)Instructions burned: 53 (million)
% 15.94/3.05 % (516047)dis+10_1_si=on:random_seed=3897267100:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2975 on theBenchmark for (2975ds/407Mi)
% 18.78/3.32 % (516047)Refutation not found, incomplete strategy
% 18.78/3.32 % (516047)------------------------------
% 18.78/3.32 % (516047)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.78/3.32 % (516047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.78/3.32 % (516047)CaDiCaL version: 2.1.3
% 18.78/3.32 % (516047)Termination reason: Refutation not found, incomplete strategy
% 18.78/3.32 % (516047)Time elapsed: 0.001 s
% 18.78/3.32 % (516047)Peak memory usage: 11 MB
% 18.78/3.32 % (516047)------------------------------
% 18.78/3.32 % (516047)------------------------------
% 18.78/3.32 % (516049)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=2076318806:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2975 on theBenchmark for (2975ds/2240Mi)
% 18.78/3.32 % (516040)Instruction limit reached!
% 18.78/3.32 % (516040)------------------------------
% 18.78/3.32 % (516040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.78/3.32 % (516040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.78/3.32 % (516040)CaDiCaL version: 2.1.3
% 18.78/3.32 % (516040)Termination reason: Instruction limit
% 18.78/3.32 % (516040)Termination phase: Saturation
% 18.78/3.32 % (516040)Time elapsed: 0.213 s
% 18.78/3.32 % (516040)Peak memory usage: 12 MB
% 18.78/3.32 % (516040)Instructions burned: 695 (million)
% 18.78/3.32 % (516051)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=3976701984:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2974 on theBenchmark for (2974ds/336Mi)
% 18.78/3.32 % (516051)Refutation not found, incomplete strategy
% 18.78/3.32 % (516051)------------------------------
% 18.78/3.32 % (516051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.78/3.32 % (516051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.78/3.32 % (516051)CaDiCaL version: 2.1.3
% 18.78/3.32 % (516051)Termination reason: Refutation not found, incomplete strategy
% 18.78/3.32 % (516051)Time elapsed: 0.001 s
% 18.78/3.32 % (516051)Peak memory usage: 12 MB
% 18.78/3.32 % (516051)------------------------------
% 18.78/3.32 % (516051)------------------------------
% 18.78/3.32 % (516053)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=49428740:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2974 on theBenchmark for (2974ds/1142Mi)
% 18.78/3.32 % (516027)Instruction limit reached!
% 18.78/3.32 % (516027)------------------------------
% 18.78/3.32 % (516027)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.78/3.32 % (516027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.78/3.32 % (516027)CaDiCaL version: 2.1.3
% 18.78/3.32 % (516027)Termination reason: Instruction limit
% 18.78/3.32 % (516027)Termination phase: Saturation
% 18.78/3.32 % (516027)Time elapsed: 0.384 s
% 18.78/3.32 % (516027)Peak memory usage: 12 MB
% 18.78/3.32 % (516027)Instructions burned: 494 (million)
% 18.78/3.32 % (516055)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=2105216168:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2973 on theBenchmark for (2973ds/376Mi)
% 18.78/3.32 % (516038)Instruction limit reached!
% 18.78/3.32 % (516038)------------------------------
% 18.78/3.32 % (516038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.78/3.32 % (516038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.78/3.32 % (516038)CaDiCaL version: 2.1.3
% 18.78/3.32 % (516038)Termination reason: Instruction limit
% 18.78/3.32 % (516038)Termination phase: Saturation
% 18.78/3.32 % (516038)Time elapsed: 0.351 s
% 18.78/3.32 % (516038)Peak memory usage: 12 MB
% 18.78/3.32 % (516038)Instructions burned: 857 (million)
% 18.78/3.32 % (516055)Refutation not found, incomplete strategy
% 18.78/3.32 % (516055)------------------------------
% 18.78/3.32 % (516055)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.78/3.32 % (516055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.78/3.32 % (516055)CaDiCaL version: 2.1.3
% 18.78/3.32 % (516055)Termination reason: Refutation not found, incomplete strategy
% 18.78/3.32 % (516055)Time elapsed: 0.008 s
% 18.78/3.32 % (516055)Peak memory usage: 11 MB
% 18.78/3.32 % (516033)Instruction limit reached!
% 18.78/3.32 % (516033)------------------------------
% 18.78/3.32 % (516033)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.78/3.32 % (516033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/3.54 % (516033)CaDiCaL version: 2.1.3
% 20.25/3.54 % (516033)Termination reason: Instruction limit
% 20.25/3.54 % (516033)Termination phase: Saturation
% 20.25/3.54 % (516033)Time elapsed: 0.392 s
% 20.25/3.54 % (516033)Peak memory usage: 12 MB
% 20.25/3.54 % (516033)Instructions burned: 671 (million)
% 20.25/3.54 % (516055)------------------------------
% 20.25/3.54 % (516055)------------------------------
% 20.25/3.54 % (516057)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=3216655132:i=766:bd=all:rtra=on_2973 on theBenchmark for (2973ds/766Mi)
% 20.25/3.54 % (516057)Refutation not found, incomplete strategy
% 20.25/3.54 % (516057)------------------------------
% 20.25/3.54 % (516057)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.25/3.54 % (516057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/3.54 % (516057)CaDiCaL version: 2.1.3
% 20.25/3.54 % (516057)Termination reason: Refutation not found, incomplete strategy
% 20.25/3.54 % (516057)Time elapsed: 0.007 s
% 20.25/3.54 % (516057)Peak memory usage: 12 MB
% 20.25/3.54 % (516057)Instructions burned: 1 (million)
% 20.25/3.54 % (516058)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 20.25/3.54 % (516057)------------------------------
% 20.25/3.54 % (516057)------------------------------
% 20.25/3.54 % (516058)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=134552060: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_2973 on theBenchmark for (2973ds/959Mi)
% 20.25/3.54 % (516058)Refutation not found, incomplete strategy
% 20.25/3.54 % (516058)------------------------------
% 20.25/3.54 % (516058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.25/3.54 % (516058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/3.54 % (516058)CaDiCaL version: 2.1.3
% 20.25/3.54 % (516058)Termination reason: Refutation not found, incomplete strategy
% 20.25/3.54 % (516058)Time elapsed: 0.0000 s
% 20.25/3.54 % (516058)Peak memory usage: 11 MB
% 20.25/3.54 % (516058)------------------------------
% 20.25/3.54 % (516058)------------------------------
% 20.25/3.54 % (516059)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=3139319876:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2973 on theBenchmark for (2973ds/6359Mi)
% 20.25/3.54 % (516061)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=526646116:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2972 on theBenchmark for (2972ds/35Mi)
% 20.25/3.54 % (516061)Refutation not found, incomplete strategy
% 20.25/3.54 % (516061)------------------------------
% 20.25/3.54 % (516061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.25/3.54 % (516061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/3.54 % (516061)CaDiCaL version: 2.1.3
% 20.25/3.54 % (516061)Termination reason: Refutation not found, incomplete strategy
% 20.25/3.54 % (516061)Time elapsed: 0.001 s
% 20.25/3.54 % (516061)Peak memory usage: 11 MB
% 20.25/3.54 % (516061)------------------------------
% 20.25/3.54 % (516061)------------------------------
% 20.25/3.54 % (516063)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=3329484232:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2972 on theBenchmark for (2972ds/53Mi)
% 20.25/3.54 % (516063)Instruction limit reached!
% 20.25/3.54 % (516063)------------------------------
% 20.25/3.54 % (516063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.25/3.54 % (516063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.25/3.54 % (516063)CaDiCaL version: 2.1.3
% 20.25/3.54 % (516063)Termination reason: Instruction limit
% 20.25/3.54 % (516063)Termination phase: Saturation
% 20.25/3.54 % (516063)Time elapsed: 0.048 s
% 20.25/3.54 % (516063)Peak memory usage: 12 MB
% 20.25/3.54 % (516063)Instructions burned: 53 (million)
% 20.25/3.54 % (516067)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=326340040:s2a=on:i=876:s2at=6:nm=2:rtra=on_2972 on theBenchmark for (2972ds/876Mi)
% 20.25/3.54 % (516068)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3083656188:i=57:ep=R:rtra=on:ntd=on_2972 on theBenchmark for (2972ds/57Mi)
% 21.18/3.74 % (516068)Instruction limit reached!
% 21.18/3.74 % (516068)------------------------------
% 21.18/3.74 % (516068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.18/3.74 % (516068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.18/3.74 % (516068)CaDiCaL version: 2.1.3
% 21.18/3.74 % (516068)Termination reason: Instruction limit
% 21.18/3.74 % (516068)Termination phase: Saturation
% 21.18/3.74 % (516068)Time elapsed: 0.028 s
% 21.18/3.74 % (516068)Peak memory usage: 12 MB
% 21.18/3.74 % (516068)Instructions burned: 58 (million)
% 21.18/3.74 % (516071)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 21.18/3.74 % (516071)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=2727928755:i=306:bd=all:rtra=on_2971 on theBenchmark for (2971ds/306Mi)
% 21.18/3.74 % (516071)Refutation not found, incomplete strategy
% 21.18/3.74 % (516071)------------------------------
% 21.18/3.74 % (516071)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.18/3.74 % (516071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.18/3.74 % (516071)CaDiCaL version: 2.1.3
% 21.18/3.74 % (516071)Termination reason: Refutation not found, incomplete strategy
% 21.18/3.74 % (516071)Time elapsed: 0.001 s
% 21.18/3.74 % (516071)Peak memory usage: 11 MB
% 21.18/3.74 % (516071)Instructions burned: 1 (million)
% 21.18/3.74 % (516071)------------------------------
% 21.18/3.74 % (516071)------------------------------
% 21.18/3.74 % (516073)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=2568526484:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2971 on theBenchmark for (2971ds/262Mi)
% 21.18/3.74 % (516073)Refutation not found, incomplete strategy
% 21.18/3.74 % (516073)------------------------------
% 21.18/3.74 % (516073)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.18/3.74 % (516073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.18/3.74 % (516073)CaDiCaL version: 2.1.3
% 21.18/3.74 % (516073)Termination reason: Refutation not found, incomplete strategy
% 21.18/3.74 % (516073)Time elapsed: 0.001 s
% 21.18/3.74 % (516073)Peak memory usage: 11 MB
% 21.18/3.74 % (516073)------------------------------
% 21.18/3.74 % (516073)------------------------------
% 21.18/3.74 % (516075)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 21.18/3.74 % (516075)ott+1002_16_sil=128000:si=on:random_seed=4210213234:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2971 on theBenchmark for (2971ds/409Mi)
% 21.18/3.74 % (515971)Instruction limit reached!
% 21.18/3.74 % (515971)------------------------------
% 21.18/3.74 % (515971)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.18/3.74 % (515971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.18/3.74 % (515971)CaDiCaL version: 2.1.3
% 21.18/3.74 % (515971)Termination reason: Instruction limit
% 21.18/3.74 % (515971)Termination phase: Saturation
% 21.18/3.74 % (515971)Time elapsed: 1.325 s
% 21.18/3.74 % (515971)Peak memory usage: 17 MB
% 21.18/3.74 % (515971)Instructions burned: 2470 (million)
% 21.18/3.74 % (516077)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=3167660083:s2a=on:i=381:rtra=on_2970 on theBenchmark for (2970ds/381Mi)
% 21.18/3.74 % (516053)Instruction limit reached!
% 21.18/3.74 % (516053)------------------------------
% 21.18/3.74 % (516053)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.18/3.74 % (516053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.18/3.74 % (516053)CaDiCaL version: 2.1.3
% 21.18/3.74 % (516053)Termination reason: Instruction limit
% 21.18/3.74 % (516053)Termination phase: Saturation
% 21.18/3.74 % (516053)Time elapsed: 0.414 s
% 21.18/3.74 % (516053)Peak memory usage: 14 MB
% 21.18/3.74 % (516053)Instructions burned: 1142 (million)
% 21.18/3.74 % (516079)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3308260218:cond=on:i=324:rtra=on:ntd=on_2969 on theBenchmark for (2969ds/324Mi)
% 21.18/3.74 % (516077)Instruction limit reached!
% 21.18/3.74 % (516077)------------------------------
% 21.18/3.74 % (516077)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.18/3.74 % (516077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.18/3.74 % (516077)CaDiCaL version: 2.1.3
% 22.13/3.93 % (516077)Termination reason: Instruction limit
% 22.13/3.93 % (516077)Termination phase: Saturation
% 22.13/3.93 % (516077)Time elapsed: 0.153 s
% 22.13/3.93 % (516077)Peak memory usage: 12 MB
% 22.13/3.93 % (516077)Instructions burned: 383 (million)
% 22.13/3.93 % (516081)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=3111898472:i=240:kws=inv_precedence:rtra=on_2969 on theBenchmark for (2969ds/240Mi)
% 22.13/3.93 % (516081)Refutation not found, incomplete strategy
% 22.13/3.93 % (516081)------------------------------
% 22.13/3.93 % (516081)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.13/3.93 % (516081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.13/3.93 % (516081)CaDiCaL version: 2.1.3
% 22.13/3.93 % (516081)Termination reason: Refutation not found, incomplete strategy
% 22.13/3.93 % (516081)Time elapsed: 0.001 s
% 22.13/3.93 % (516081)Peak memory usage: 11 MB
% 22.13/3.93 % (516081)Instructions burned: 1 (million)
% 22.13/3.93 % (516081)------------------------------
% 22.13/3.93 % (516081)------------------------------
% 22.13/3.93 % (516075)Instruction limit reached!
% 22.13/3.93 % (516075)------------------------------
% 22.13/3.93 % (516075)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.13/3.93 % (516075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.13/3.93 % (516075)CaDiCaL version: 2.1.3
% 22.13/3.93 % (516075)Termination reason: Instruction limit
% 22.13/3.93 % (516075)Termination phase: Saturation
% 22.13/3.93 % (516075)Time elapsed: 0.252 s
% 22.13/3.93 % (516075)Peak memory usage: 13 MB
% 22.13/3.93 % (516075)Instructions burned: 409 (million)
% 22.13/3.93 % (516083)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 22.13/3.93 % (516083)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=4266597907:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2968 on theBenchmark for (2968ds/124Mi)
% 22.13/3.93 % (516084)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=2426765656:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2968 on theBenchmark for (2968ds/223Mi)
% 22.13/3.93 % (516079)Instruction limit reached!
% 22.13/3.93 % (516079)------------------------------
% 22.13/3.93 % (516079)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.13/3.93 % (516079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.13/3.93 % (516079)CaDiCaL version: 2.1.3
% 22.13/3.93 % (516079)Termination reason: Instruction limit
% 22.13/3.93 % (516079)Termination phase: Saturation
% 22.13/3.93 % (516079)Time elapsed: 0.191 s
% 22.13/3.93 % (516079)Peak memory usage: 12 MB
% 22.13/3.93 % (516079)Instructions burned: 327 (million)
% 22.13/3.93 % (516083)Instruction limit reached!
% 22.13/3.93 % (516083)------------------------------
% 22.13/3.93 % (516083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.13/3.93 % (516083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.13/3.93 % (516083)CaDiCaL version: 2.1.3
% 22.13/3.93 % (516083)Termination reason: Instruction limit
% 22.13/3.93 % (516083)Termination phase: Saturation
% 22.13/3.93 % (516083)Time elapsed: 0.073 s
% 22.13/3.93 % (516083)Peak memory usage: 12 MB
% 22.13/3.93 % (516083)Instructions burned: 126 (million)
% 22.13/3.93 % (516087)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2326694109:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2967 on theBenchmark for (2967ds/282Mi)
% 22.13/3.93 % (516088)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=2456026683:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2967 on theBenchmark for (2967ds/464Mi)
% 22.13/3.93 % (516088)Refutation not found, incomplete strategy
% 22.13/3.93 % (516088)------------------------------
% 22.13/3.93 % (516088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.13/3.93 % (516088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.13/3.93 % (516088)CaDiCaL version: 2.1.3
% 22.13/3.93 % (516088)Termination reason: Refutation not found, incomplete strategy
% 22.13/3.93 % (516088)Time elapsed: 0.002 s
% 22.13/3.93 % (516088)Peak memory usage: 11 MB
% 22.13/3.93 % (516088)Instructions burned: 1 (million)
% 22.13/3.93 % (516088)------------------------------
% 22.13/3.93 % (516088)------------------------------
% 22.13/3.93 % (516091)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=1385810955:i=88:s2at=3:nm=2:rtra=on:rawr=on_2967 on theBenchmark for (2967ds/88Mi)
% 23.28/4.10 % (516091)Instruction limit reached!
% 23.28/4.10 % (516091)------------------------------
% 23.28/4.10 % (516091)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.28/4.10 % (516091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.28/4.10 % (516091)CaDiCaL version: 2.1.3
% 23.28/4.10 % (516091)Termination reason: Instruction limit
% 23.28/4.10 % (516091)Termination phase: Saturation
% 23.28/4.10 % (516091)Time elapsed: 0.039 s
% 23.28/4.10 % (516091)Peak memory usage: 12 MB
% 23.28/4.10 % (516091)Instructions burned: 89 (million)
% 23.28/4.10 % (516084)Instruction limit reached!
% 23.28/4.10 % (516084)------------------------------
% 23.28/4.10 % (516084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.28/4.10 % (516084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.28/4.10 % (516084)CaDiCaL version: 2.1.3
% 23.28/4.10 % (516084)Termination reason: Instruction limit
% 23.28/4.10 % (516084)Termination phase: Saturation
% 23.28/4.10 % (516084)Time elapsed: 0.135 s
% 23.28/4.10 % (516084)Peak memory usage: 13 MB
% 23.28/4.10 % (516084)Instructions burned: 224 (million)
% 23.28/4.10 % (516094)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 23.28/4.10 % (516093)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=1789825135:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2966 on theBenchmark for (2966ds/280Mi)
% 23.28/4.10 % (516094)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=928167502:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2966 on theBenchmark for (2966ds/4386Mi)
% 23.28/4.10 % (516067)Instruction limit reached!
% 23.28/4.10 % (516067)------------------------------
% 23.28/4.10 % (516067)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.28/4.10 % (516067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.28/4.10 % (516067)CaDiCaL version: 2.1.3
% 23.28/4.10 % (516067)Termination reason: Instruction limit
% 23.28/4.10 % (516067)Termination phase: Saturation
% 23.28/4.10 % (516067)Time elapsed: 0.615 s
% 23.28/4.10 % (516067)Peak memory usage: 12 MB
% 23.28/4.10 % (516067)Instructions burned: 877 (million)
% 23.28/4.10 % (516097)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 23.28/4.10 % (516097)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 23.28/4.10 % (516097)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=3762640397:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2965 on theBenchmark for (2965ds/483Mi)
% 23.28/4.10 % (516097)Refutation not found, incomplete strategy
% 23.28/4.10 % (516097)------------------------------
% 23.28/4.10 % (516097)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.28/4.10 % (516097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.28/4.10 % (516097)CaDiCaL version: 2.1.3
% 23.28/4.10 % (516097)Termination reason: Refutation not found, incomplete strategy
% 23.28/4.10 % (516097)Time elapsed: 0.005 s
% 23.28/4.10 % (516097)Peak memory usage: 12 MB
% 23.28/4.10 % (516097)------------------------------
% 23.28/4.10 % (516097)------------------------------
% 23.28/4.10 % (516099)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3999157106:i=73:rtra=on_2965 on theBenchmark for (2965ds/73Mi)
% 23.28/4.10 % (516099)Refutation not found, incomplete strategy
% 23.28/4.10 % (516099)------------------------------
% 23.28/4.10 % (516099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.28/4.10 % (516099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.28/4.10 % (516099)CaDiCaL version: 2.1.3
% 23.28/4.10 % (516099)Termination reason: Refutation not found, incomplete strategy
% 23.28/4.10 % (516099)Time elapsed: 0.005 s
% 23.28/4.10 % (516099)Peak memory usage: 11 MB
% 23.28/4.10 % (516099)Instructions burned: 1 (million)
% 23.28/4.10 % (516099)------------------------------
% 23.28/4.10 % (516099)------------------------------
% 23.28/4.10 % (516087)Instruction limit reached!
% 23.28/4.10 % (516087)------------------------------
% 23.28/4.10 % (516087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.47/4.36 % (516087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.47/4.36 % (516087)CaDiCaL version: 2.1.3
% 24.47/4.36 % (516087)Termination reason: Instruction limit
% 24.47/4.36 % (516087)Termination phase: Saturation
% 24.47/4.36 % (516087)Time elapsed: 0.241 s
% 24.47/4.36 % (516087)Peak memory usage: 12 MB
% 24.47/4.36 % (516087)Instructions burned: 285 (million)
% 24.47/4.36 % (516101)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2403733851:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2964 on theBenchmark for (2964ds/176Mi)
% 24.47/4.36 % (516102)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 24.47/4.36 % (516102)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=3362064519:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2964 on theBenchmark for (2964ds/39Mi)
% 24.47/4.36 % (516093)Instruction limit reached!
% 24.47/4.36 % (516093)------------------------------
% 24.47/4.36 % (516093)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.47/4.36 % (516093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.47/4.36 % (516093)CaDiCaL version: 2.1.3
% 24.47/4.36 % (516093)Termination reason: Instruction limit
% 24.47/4.36 % (516093)Termination phase: Saturation
% 24.47/4.36 % (516093)Time elapsed: 0.177 s
% 24.47/4.36 % (516093)Peak memory usage: 12 MB
% 24.47/4.36 % (516093)Instructions burned: 280 (million)
% 24.47/4.36 % (516105)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=5410671:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2964 on theBenchmark for (2964ds/708Mi)
% 24.47/4.36 % (516102)Instruction limit reached!
% 24.47/4.36 % (516102)------------------------------
% 24.47/4.36 % (516102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.47/4.36 % (516102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.47/4.36 % (516102)CaDiCaL version: 2.1.3
% 24.47/4.36 % (516102)Termination reason: Instruction limit
% 24.47/4.36 % (516102)Termination phase: Saturation
% 24.47/4.36 % (516102)Time elapsed: 0.023 s
% 24.47/4.36 % (516102)Peak memory usage: 12 MB
% 24.47/4.36 % (516102)Instructions burned: 39 (million)
% 24.47/4.36 % (516107)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
% 24.47/4.36 % (516107)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=1265975504:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2964 on theBenchmark for (2964ds/252Mi)
% 24.47/4.36 % (516049)Instruction limit reached!
% 24.47/4.36 % (516049)------------------------------
% 24.47/4.36 % (516049)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.47/4.36 % (516049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.47/4.36 % (516049)CaDiCaL version: 2.1.3
% 24.47/4.36 % (516049)Termination reason: Instruction limit
% 24.47/4.36 % (516049)Termination phase: Saturation
% 24.47/4.36 % (516049)Time elapsed: 1.174 s
% 24.47/4.36 % (516049)Peak memory usage: 17 MB
% 24.47/4.36 % (516049)Instructions burned: 2240 (million)
% 24.47/4.36 % (516107)Instruction limit reached!
% 24.47/4.36 % (516107)------------------------------
% 24.47/4.36 % (516107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.47/4.36 % (516107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.47/4.36 % (516107)CaDiCaL version: 2.1.3
% 24.47/4.36 % (516107)Termination reason: Instruction limit
% 24.47/4.36 % (516107)Termination phase: Saturation
% 24.47/4.36 % (516107)Time elapsed: 0.099 s
% 24.47/4.36 % (516107)Peak memory usage: 12 MB
% 24.47/4.36 % (516107)Instructions burned: 253 (million)
% 24.47/4.36 % (516109)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=4274944258:i=823:fsr=off:rtra=on_2963 on theBenchmark for (2963ds/823Mi)
% 24.47/4.36 % (516101)Instruction limit reached!
% 24.47/4.36 % (516101)------------------------------
% 24.47/4.36 % (516101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.47/4.36 % (516101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.47/4.36 % (516101)CaDiCaL version: 2.1.3
% 24.47/4.36 % (516101)Termination reason: Instruction limit
% 25.53/4.54 % (516101)Termination phase: Saturation
% 25.53/4.54 % (516101)Time elapsed: 0.159 s
% 25.53/4.54 % (516101)Peak memory usage: 12 MB
% 25.53/4.54 % (516101)Instructions burned: 178 (million)
% 25.53/4.54 % (516110)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 25.53/4.54 % (516110)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=1795356046:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2963 on theBenchmark for (2963ds/16202Mi)
% 25.53/4.54 % (516110)Refutation not found, incomplete strategy
% 25.53/4.54 % (516110)------------------------------
% 25.53/4.54 % (516110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.53/4.54 % (516110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.53/4.54 % (516110)CaDiCaL version: 2.1.3
% 25.53/4.54 % (516110)Termination reason: Refutation not found, incomplete strategy
% 25.53/4.54 % (516110)Time elapsed: 0.001 s
% 25.53/4.54 % (516110)Peak memory usage: 11 MB
% 25.53/4.54 % (516110)Instructions burned: 1 (million)
% 25.53/4.54 % (516110)------------------------------
% 25.53/4.54 % (516110)------------------------------
% 25.53/4.54 % (516114)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 25.53/4.54 % (516114)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 25.53/4.54 % (516112)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=2775434282:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2963 on theBenchmark for (2963ds/300Mi)
% 25.53/4.54 % (516114)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=99951979:i=177:add=on:bd=preordered:rtra=on:rawr=on_2962 on theBenchmark for (2962ds/177Mi)
% 25.53/4.54 % (516114)Instruction limit reached!
% 25.53/4.54 % (516114)------------------------------
% 25.53/4.54 % (516114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.53/4.54 % (516114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.53/4.54 % (516114)CaDiCaL version: 2.1.3
% 25.53/4.54 % (516114)Termination reason: Instruction limit
% 25.53/4.54 % (516114)Termination phase: Saturation
% 25.53/4.54 % (516114)Time elapsed: 0.083 s
% 25.53/4.54 % (516114)Peak memory usage: 12 MB
% 25.53/4.54 % (516114)Instructions burned: 179 (million)
% 25.53/4.54 % (516117)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=692247400:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2961 on theBenchmark for (2961ds/715Mi)
% 25.53/4.54 % (516117)Refutation not found, incomplete strategy
% 25.53/4.54 % (516117)------------------------------
% 25.53/4.54 % (516117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.53/4.54 % (516117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.53/4.54 % (516117)CaDiCaL version: 2.1.3
% 25.53/4.54 % (516117)Termination reason: Refutation not found, incomplete strategy
% 25.53/4.54 % (516117)Time elapsed: 0.001 s
% 25.53/4.54 % (516117)Peak memory usage: 11 MB
% 25.53/4.54 % (516117)Instructions burned: 2 (million)
% 25.53/4.54 % (516117)------------------------------
% 25.53/4.54 % (516117)------------------------------
% 25.53/4.54 % (516119)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 25.53/4.54 % (516119)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 25.53/4.54 % (516119)dis+11_1_sil=128000:plsqc=3:cnfonf=lazy_gen:si=on:sp=const_max:lma=off:plsqr=19,3:lcm=predicate:uwa=off:fd=preordered:nwc=1:random_seed=2963320239:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2961 on theBenchmark for (2961ds/230Mi)
% 25.53/4.54 % (516119)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 25.53/4.54 % (516105)Instruction limit reached!
% 25.53/4.54 % (516105)------------------------------
% 25.53/4.54 % (516105)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.53/4.54 % (516105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.53/4.54 % (516105)CaDiCaL version: 2.1.3
% 25.53/4.54 % (516105)Termination reason: Instruction limit
% 25.53/4.54 % (516105)Termination phase: Saturation
% 25.53/4.54 % (516105)Time elapsed: 0.303 s
% 25.53/4.54 % (516105)Peak memory usage: 13 MB
% 25.53/4.54 % (516105)Instructions burned: 709 (million)
% 26.16/4.62 % (516121)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=2383828147:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2961 on theBenchmark for (2961ds/606Mi)
% 26.16/4.62 % (516119)Instruction limit reached!
% 26.16/4.62 % (516119)------------------------------
% 26.16/4.62 % (516119)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.16/4.62 % (516119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.16/4.62 % (516119)CaDiCaL version: 2.1.3
% 26.16/4.62 % (516119)Termination reason: Instruction limit
% 26.16/4.62 % (516119)Termination phase: Saturation
% 26.16/4.62 % (516119)Time elapsed: 0.104 s
% 26.16/4.62 % (516119)Peak memory usage: 12 MB
% 26.16/4.62 % (516119)Instructions burned: 231 (million)
% 26.16/4.62 % (515904)Instruction limit reached!
% 26.16/4.62 % (515904)------------------------------
% 26.16/4.62 % (515904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.16/4.62 % (515904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.16/4.62 % (515904)CaDiCaL version: 2.1.3
% 26.16/4.62 % (515904)Termination reason: Instruction limit
% 26.16/4.62 % (515904)Termination phase: Saturation
% 26.16/4.62 % (515904)Time elapsed: 3.072 s
% 26.16/4.62 % (515904)Peak memory usage: 13 MB
% 26.16/4.62 % (515904)Instructions burned: 9844 (million)
% 26.16/4.62 % (516123)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 26.16/4.62 % (516123)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=2046804129:lrd=on:i=841:nm=0:rtra=on_2960 on theBenchmark for (2960ds/841Mi)
% 26.16/4.62 % (516112)Instruction limit reached!
% 26.16/4.62 % (516112)------------------------------
% 26.16/4.62 % (516112)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.16/4.62 % (516112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.16/4.62 % (516112)CaDiCaL version: 2.1.3
% 26.16/4.62 % (516112)Termination reason: Instruction limit
% 26.16/4.62 % (516112)Termination phase: Saturation
% 26.16/4.62 % (516112)Time elapsed: 0.251 s
% 26.16/4.62 % (516112)Peak memory usage: 12 MB
% 26.16/4.62 % (516112)Instructions burned: 300 (million)
% 26.16/4.62 % (516124)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1909349604:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2960 on theBenchmark for (2960ds/445Mi)
% 26.16/4.62 % (516126)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=3803738487:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2960 on theBenchmark for (2960ds/71Mi)
% 26.16/4.62 % (516126)Instruction limit reached!
% 26.16/4.62 % (516126)------------------------------
% 26.16/4.62 % (516126)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.16/4.62 % (516126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.16/4.62 % (516126)CaDiCaL version: 2.1.3
% 26.16/4.62 % (516126)Termination reason: Instruction limit
% 26.16/4.62 % (516126)Termination phase: Saturation
% 26.16/4.62 % (516126)Time elapsed: 0.038 s
% 26.16/4.62 % (516126)Peak memory usage: 12 MB
% 26.16/4.62 % (516126)Instructions burned: 71 (million)
% 26.16/4.62 % (516129)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
% 26.16/4.62 % (516129)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 26.16/4.62 % (516129)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2233535288:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2959 on theBenchmark for (2959ds/100Mi)
% 26.16/4.62 % (516129)Instruction limit reached!
% 26.16/4.62 % (516129)------------------------------
% 26.16/4.62 % (516129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.16/4.62 % (516129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.16/4.62 % (516129)CaDiCaL version: 2.1.3
% 26.16/4.62 % (516129)Termination reason: Instruction limit
% 26.16/4.62 % (516129)Termination phase: Saturation
% 26.16/4.62 % (516129)Time elapsed: 0.044 s
% 26.16/4.62 % (516129)Peak memory usage: 12 MB
% 26.16/4.62 % (516129)Instructions burned: 100 (million)
% 26.16/4.62 % (516131)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(3) has been set then sine_level_split_queue(off) is equal to on
% 26.16/4.66 % (516131)lrs+2_128_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=const_max:sos=on:plsqr=32,1:spb=goal:uwa=interpreted_only:slsqc=3:random_seed=3558934007:i=1352:add=on:aac=none:rtra=on_2958 on theBenchmark for (2958ds/1352Mi)
% 26.16/4.66 % (516131)Refutation not found, incomplete strategy
% 26.16/4.66 % (516131)------------------------------
% 26.16/4.66 % (516131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.16/4.66 % (516131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.16/4.66 % (516131)CaDiCaL version: 2.1.3
% 26.16/4.66 % (516131)Termination reason: Refutation not found, incomplete strategy
% 26.16/4.66 % (516131)Time elapsed: 0.002 s
% 26.16/4.66 % (516131)Peak memory usage: 12 MB
% 26.16/4.66 % (516131)Instructions burned: 3 (million)
% 26.16/4.66 % (516131)------------------------------
% 26.16/4.66 % (516131)------------------------------
% 26.16/4.66 % (516133)lrs-1002_4:1_sfv=off:to=lpo:plsq=on:prc=on:e2e=on:si=on:hsqlw=5:ser=on:spb=goal:acc=on:uwa=off:foolp=on:s2agt=16:slsqc=1:slsq=on:random_seed=3626289823:hsq=on:hsqr=16,1:s2a=on:i=646:nm=16:rtra=on:gtg=exists_top:proc=on_2958 on theBenchmark for (2958ds/646Mi)
% 26.16/4.66 % (516121)Instruction limit reached!
% 26.16/4.66 % (516121)------------------------------
% 26.16/4.66 % (516121)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.16/4.66 % (516121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.16/4.66 % (516121)CaDiCaL version: 2.1.3
% 26.16/4.66 % (516121)Termination reason: Instruction limit
% 26.16/4.66 % (516121)Termination phase: Saturation
% 26.16/4.66 % (516121)Time elapsed: 0.309 s
% 26.16/4.66 % (516121)Peak memory usage: 12 MB
% 26.16/4.66 % (516121)Instructions burned: 607 (million)
% 26.16/4.66 % (516135)lrs+10_1_sil=128000:si=on:uwa=all:random_seed=1380088306:i=1924:sd=2:kws=precedence:bd=all:rtra=on:ss=axioms:sgt=16_2957 on theBenchmark for (2957ds/1924Mi)
% 26.16/4.66 % (516135)Refutation not found, incomplete strategy
% 26.16/4.66 % (516135)------------------------------
% 26.16/4.66 % (516135)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.16/4.66 % (516135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.16/4.66 % (516135)CaDiCaL version: 2.1.3
% 26.16/4.66 % (516135)Termination reason: Refutation not found, incomplete strategy
% 26.16/4.66 % (516135)Time elapsed: 0.001 s
% 26.16/4.66 % (516135)Peak memory usage: 12 MB
% 26.16/4.66 % (516135)------------------------------
% 26.16/4.66 % (516135)------------------------------
% 26.16/4.66 % (516137)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=4289807356:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2957 on theBenchmark for (2957ds/984Mi)
% 26.16/4.66 % (516137)Refutation not found, incomplete strategy
% 26.16/4.66 % (516137)------------------------------
% 26.16/4.66 % (516137)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.16/4.66 % (516137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.16/4.66 % (516137)CaDiCaL version: 2.1.3
% 26.16/4.66 % (516137)Termination reason: Refutation not found, incomplete strategy
% 26.16/4.66 % (516137)Time elapsed: 0.001 s
% 26.16/4.66 % (516137)Peak memory usage: 11 MB
% 26.16/4.66 % (516137)Instructions burned: 1 (million)
% 26.16/4.66 % (516137)------------------------------
% 26.16/4.66 % (516137)------------------------------
% 26.16/4.66 % (516139)dis+10_128_sil=128000:drc=ordering:fde=unused:si=on:lma=off:uwa=interpreted_only:avsqc=4:random_seed=951580890:avsq=on:i=592:add=off:kws=inv_frequency:bd=preordered:rtra=on_2957 on theBenchmark for (2957ds/592Mi)
% 26.16/4.66 % (516109)Instruction limit reached!
% 26.16/4.66 % (516109)------------------------------
% 26.16/4.66 % (516109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.16/4.66 % (516109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.16/4.66 % (516109)CaDiCaL version: 2.1.3
% 26.16/4.66 % (516109)Termination reason: Instruction limit
% 26.16/4.66 % (516109)Termination phase: Saturation
% 26.16/4.66 % (516109)Time elapsed: 0.594 s
% 26.16/4.66 % (516109)Peak memory usage: 12 MB
% 26.16/4.66 % (516109)Instructions burned: 824 (million)
% 26.16/4.66 % (516141)dis+1010_7_si=on:uwa=off:nwc=1.2:random_seed=1905350968:st=2.5:i=872:sd=4:fsr=off:rtra=on:ss=axioms:c=on:ntd=on_2957 on theBenchmark for (2957ds/872Mi)
% 26.16/4.66 % (516141)Refutation not found, incomplete strategy
% 27.72/4.86 % (516141)------------------------------
% 27.72/4.86 % (516141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.72/4.86 % (516141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.72/4.86 % (516141)CaDiCaL version: 2.1.3
% 27.72/4.86 % (516141)Termination reason: Refutation not found, incomplete strategy
% 27.72/4.86 % (516141)Time elapsed: 0.001 s
% 27.72/4.86 % (516141)Peak memory usage: 12 MB
% 27.72/4.86 % (516141)------------------------------
% 27.72/4.86 % (516141)------------------------------
% 27.72/4.86 % (516143)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 27.72/4.86 % (516124)Instruction limit reached!
% 27.72/4.86 % (516124)------------------------------
% 27.72/4.86 % (516124)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.72/4.86 % (516124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.72/4.86 % (516124)CaDiCaL version: 2.1.3
% 27.72/4.86 % (516124)Termination reason: Instruction limit
% 27.72/4.86 % (516124)Termination phase: Saturation
% 27.72/4.86 % (516124)Time elapsed: 0.329 s
% 27.72/4.86 % (516124)Peak memory usage: 14 MB
% 27.72/4.86 % (516124)Instructions burned: 446 (million)
% 27.72/4.86 % (516143)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=1620587423:i=999:add=on:rtra=on_2956 on theBenchmark for (2956ds/999Mi)
% 27.72/4.86 % (516145)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 27.72/4.86 % (516145)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=1180765080:i=244:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2956 on theBenchmark for (2956ds/244Mi)
% 27.72/4.86 % (516145)Refutation not found, incomplete strategy
% 27.72/4.86 % (516145)------------------------------
% 27.72/4.86 % (516145)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.72/4.86 % (516145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.72/4.86 % (516145)CaDiCaL version: 2.1.3
% 27.72/4.86 % (516145)Termination reason: Refutation not found, incomplete strategy
% 27.72/4.86 % (516145)Time elapsed: 0.002 s
% 27.72/4.86 % (516145)Peak memory usage: 11 MB
% 27.72/4.86 % (516145)Instructions burned: 2 (million)
% 27.72/4.86 % (516145)------------------------------
% 27.72/4.86 % (516145)------------------------------
% 27.72/4.86 % (516123)Instruction limit reached!
% 27.72/4.86 % (516123)------------------------------
% 27.72/4.86 % (516123)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.72/4.86 % (516123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.72/4.86 % (516123)CaDiCaL version: 2.1.3
% 27.72/4.86 % (516123)Termination reason: Instruction limit
% 27.72/4.86 % (516123)Termination phase: Saturation
% 27.72/4.86 % (516123)Time elapsed: 0.381 s
% 27.72/4.86 % (516123)Peak memory usage: 13 MB
% 27.72/4.86 % (516123)Instructions burned: 842 (million)
% 27.72/4.86 % (516133)Instruction limit reached!
% 27.72/4.86 % (516133)------------------------------
% 27.72/4.86 % (516133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.72/4.86 % (516133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.72/4.86 % (516133)CaDiCaL version: 2.1.3
% 27.72/4.86 % (516133)Termination reason: Instruction limit
% 27.72/4.86 % (516133)Termination phase: Saturation
% 27.72/4.86 % (516133)Time elapsed: 0.218 s
% 27.72/4.86 % (516133)Peak memory usage: 14 MB
% 27.72/4.86 % (516133)Instructions burned: 646 (million)
% 27.72/4.86 % (516147)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=3115399505:cts=off:i=113:fsr=off:rtra=on:fe=abstraction_2956 on theBenchmark for (2956ds/113Mi)
% 27.72/4.86 % (516147)Refutation not found, incomplete strategy
% 27.72/4.86 % (516147)------------------------------
% 27.72/4.86 % (516147)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.72/4.86 % (516147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.72/4.86 % (516147)CaDiCaL version: 2.1.3
% 27.72/4.86 % (516147)Termination reason: Refutation not found, incomplete strategy
% 27.72/4.86 % (516147)Time elapsed: 0.001 s
% 27.72/4.86 % (516147)Peak memory usage: 11 MB
% 27.72/4.86 % (516147)Instructions burned: 1 (million)
% 27.72/4.86 % (516147)------------------------------
% 27.72/4.86 % (516147)------------------------------
% 28.15/5.02 % (516148)lrs+10_1_sil=128000:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=453500437:i=7795:sd=2:nm=16:rtra=on:ss=axioms_2956 on theBenchmark for (2956ds/7795Mi)
% 28.15/5.02 % (516148)Refutation not found, incomplete strategy
% 28.15/5.02 % (516148)------------------------------
% 28.15/5.02 % (516148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.15/5.02 % (516148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.15/5.02 % (516148)CaDiCaL version: 2.1.3
% 28.15/5.02 % (516148)Termination reason: Refutation not found, incomplete strategy
% 28.15/5.02 % (516148)Time elapsed: 0.0000 s
% 28.15/5.02 % (516148)Peak memory usage: 11 MB
% 28.15/5.02 % (516148)------------------------------
% 28.15/5.02 % (516148)------------------------------
% 28.15/5.02 % (516149)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=485733136:st=2:i=5026:sd=1:rtra=on:ss=axioms_2956 on theBenchmark for (2956ds/5026Mi)
% 28.15/5.02 % (516149)Refutation not found, incomplete strategy
% 28.15/5.02 % (516149)------------------------------
% 28.15/5.02 % (516149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.15/5.02 % (516149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.15/5.02 % (516149)CaDiCaL version: 2.1.3
% 28.15/5.02 % (516149)Termination reason: Refutation not found, incomplete strategy
% 28.15/5.02 % (516149)Time elapsed: 0.0000 s
% 28.15/5.02 % (516149)Peak memory usage: 11 MB
% 28.15/5.02 % (516149)------------------------------
% 28.15/5.02 % (516149)------------------------------
% 28.15/5.02 % (516151)WARNING Broken Constraint: if ho_split_queue_ratios(1,4) has been set then ho_split_queue(off) is equal to on
% 28.15/5.02 % (516151)dis+1004_8_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_frequency:sos=on:uwa=off:random_seed=2420916857:hsqr=1,4:i=763:bd=preordered:nm=0:rtra=on:bet=on:ss=axioms_2956 on theBenchmark for (2956ds/763Mi)
% 28.15/5.02 % (516151)Refutation not found, incomplete strategy
% 28.15/5.02 % (516151)------------------------------
% 28.15/5.02 % (516151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.15/5.02 % (516151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.15/5.02 % (516151)CaDiCaL version: 2.1.3
% 28.15/5.02 % (516151)Termination reason: Refutation not found, incomplete strategy
% 28.15/5.02 % (516151)Time elapsed: 0.001 s
% 28.15/5.02 % (516151)Peak memory usage: 11 MB
% 28.15/5.02 % (516151)Instructions burned: 1 (million)
% 28.15/5.02 % (516151)------------------------------
% 28.15/5.02 % (516151)------------------------------
% 28.15/5.02 % (516155)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 28.15/5.02 % (516153)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2589270058:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2956 on theBenchmark for (2956ds/1144Mi)
% 28.15/5.02 % (516153)Refutation not found, incomplete strategy
% 28.15/5.02 % (516153)------------------------------
% 28.15/5.02 % (516153)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.15/5.02 % (516153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.15/5.02 % (516153)CaDiCaL version: 2.1.3
% 28.15/5.02 % (516153)Termination reason: Refutation not found, incomplete strategy
% 28.15/5.02 % (516153)Time elapsed: 0.0000 s
% 28.15/5.02 % (516153)Peak memory usage: 11 MB
% 28.15/5.02 % (516153)------------------------------
% 28.15/5.02 % (516153)------------------------------
% 28.15/5.02 % (516155)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=3994099014:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2956 on theBenchmark for (2956ds/52Mi)
% 28.15/5.02 % (516157)dis+1010_1_sil=128000:si=on:etr=on:uwa=off:random_seed=2821872965:i=1724:fsr=off:rtra=on:fe=abstraction_2955 on theBenchmark for (2955ds/1724Mi)
% 28.15/5.02 % (516159)dis-1004_128_to=kbo:sil=128000:tgt=full:si=on:fdtod=off:sp=const_frequency:spb=goal:uwa=off:slsqc=3:slsq=on:random_seed=2399114891:i=439:add=on:slsql=off:rtra=on:ntd=on_2955 on theBenchmark for (2955ds/439Mi)
% 28.15/5.02 % (516155)Instruction limit reached!
% 28.15/5.02 % (516155)------------------------------
% 28.15/5.02 % (516155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.15/5.02 % (516155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.06/5.44 % (516155)CaDiCaL version: 2.1.3
% 32.06/5.44 % (516155)Termination reason: Instruction limit
% 32.06/5.44 % (516155)Termination phase: Saturation
% 32.06/5.44 % (516155)Time elapsed: 0.021 s
% 32.06/5.44 % (516155)Peak memory usage: 12 MB
% 32.06/5.44 % (516155)Instructions burned: 53 (million)
% 32.06/5.44 % (516163)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3687574255:i=6395:sd=1:rtra=on:ss=axioms_2955 on theBenchmark for (2955ds/6395Mi)
% 32.06/5.44 % (516163)Refutation not found, incomplete strategy
% 32.06/5.44 % (516163)------------------------------
% 32.06/5.44 % (516163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.06/5.44 % (516163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.06/5.44 % (516163)CaDiCaL version: 2.1.3
% 32.06/5.44 % (516163)Termination reason: Refutation not found, incomplete strategy
% 32.06/5.44 % (516163)Time elapsed: 0.001 s
% 32.06/5.44 % (516163)Peak memory usage: 12 MB
% 32.06/5.44 % (516163)------------------------------
% 32.06/5.44 % (516163)------------------------------
% 32.06/5.44 % (516165)WARNING Broken Constraint: if ho_split_queue_lambda_weight(5) has been set then ho_split_queue(off) is equal to on
% 32.06/5.44 % (516165)ott+2_16:1_sil=128000:si=on:hsqlw=5:sos=on:urr=on:bce=on:uwa=off:random_seed=3632151604:i=6762:add=off:bd=all:rtra=on:ss=axioms:ntd=on_2955 on theBenchmark for (2955ds/6762Mi)
% 32.06/5.44 % (516165)Refutation not found, incomplete strategy
% 32.06/5.44 % (516165)------------------------------
% 32.06/5.44 % (516165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.06/5.44 % (516165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.06/5.44 % (516165)CaDiCaL version: 2.1.3
% 32.06/5.44 % (516165)Termination reason: Refutation not found, incomplete strategy
% 32.06/5.44 % (516165)Time elapsed: 0.001 s
% 32.06/5.44 % (516165)Peak memory usage: 11 MB
% 32.06/5.44 % (516165)------------------------------
% 32.06/5.44 % (516165)------------------------------
% 32.06/5.44 % (516167)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 32.06/5.44 % (516167)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=775367389:s2a=on:i=376:add=on:rtra=on:fe=axiom:fdi=1024_2955 on theBenchmark for (2955ds/376Mi)
% 32.06/5.44 % (516139)Instruction limit reached!
% 32.06/5.44 % (516139)------------------------------
% 32.06/5.44 % (516139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.06/5.44 % (516139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.06/5.44 % (516139)CaDiCaL version: 2.1.3
% 32.06/5.44 % (516139)Termination reason: Instruction limit
% 32.06/5.44 % (516139)Termination phase: Saturation
% 32.06/5.44 % (516139)Time elapsed: 0.288 s
% 32.06/5.44 % (516139)Peak memory usage: 12 MB
% 32.06/5.44 % (516139)Instructions burned: 593 (million)
% 32.06/5.44 % (516171)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=705590453:i=965:bd=all:ins=4:rtra=on_2954 on theBenchmark for (2954ds/965Mi)
% 32.06/5.44 % (516159)Instruction limit reached!
% 32.06/5.44 % (516159)------------------------------
% 32.06/5.44 % (516159)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.06/5.44 % (516159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.06/5.44 % (516159)CaDiCaL version: 2.1.3
% 32.06/5.44 % (516159)Termination reason: Instruction limit
% 32.06/5.44 % (516159)Termination phase: Saturation
% 32.06/5.44 % (516159)Time elapsed: 0.181 s
% 32.06/5.44 % (516159)Peak memory usage: 12 MB
% 32.06/5.44 % (516159)Instructions burned: 440 (million)
% 32.06/5.44 % (516175)lrs+10_1_sil=128000:si=on:urr=on:random_seed=4017659346:i=5013:sd=1:rtra=on:ss=axioms:sgt=64_2953 on theBenchmark for (2953ds/5013Mi)
% 32.06/5.44 % (516175)Refutation not found, incomplete strategy
% 32.06/5.44 % (516175)------------------------------
% 32.06/5.44 % (516175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.06/5.44 % (516175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.06/5.44 % (516175)CaDiCaL version: 2.1.3
% 32.06/5.44 % (516175)Termination reason: Refutation not found, incomplete strategy
% 32.06/5.44 % (516175)Time elapsed: 0.001 s
% 32.06/5.44 % (516175)Peak memory usage: 11 MB
% 32.06/5.44 % (516175)------------------------------
% 33.25/5.72 % (516175)------------------------------
% 33.25/5.72 % (516177)dis+2_1_tgt=full:si=on:uwa=one_side_interpreted:random_seed=2253193969:i=1583:kws=inv_frequency:bd=preordered:nm=0:rtra=on_2953 on theBenchmark for (2953ds/1583Mi)
% 33.25/5.72 % (516167)Instruction limit reached!
% 33.25/5.72 % (516167)------------------------------
% 33.25/5.72 % (516167)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.25/5.72 % (516167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.25/5.72 % (516167)CaDiCaL version: 2.1.3
% 33.25/5.72 % (516167)Termination reason: Instruction limit
% 33.25/5.72 % (516167)Termination phase: Saturation
% 33.25/5.72 % (516167)Time elapsed: 0.221 s
% 33.25/5.72 % (516167)Peak memory usage: 14 MB
% 33.25/5.72 % (516167)Instructions burned: 376 (million)
% 33.25/5.72 % (516179)WARNING Broken Constraint: if sine_level_split_queue_ratios(1,32) has been set then sine_level_split_queue(off) is equal to on
% 33.25/5.72 % (516179)WARNING Broken Constraint: if ho_split_queue_cutoffs(2) has been set then ho_split_queue(off) is equal to on
% 33.25/5.72 % (516179)WARNING Broken Constraint: if sine_to_age_generality_threshold(16) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 33.25/5.72 % (516179)WARNING Broken Constraint: if ho_split_queue_ratios(4,1) has been set then ho_split_queue(off) is equal to on
% 33.25/5.72 % (516179)ott+1002_1_slsqr=1,32:sil=128000:fde=none:e2e=on:hsqc=2:si=on:sp=const_min:sos=on:uwa=interpreted_only:s2agt=16:chr=on:random_seed=2824646457:hsqr=4,1:avsq=on:cond=on:i=1774:add=on:avsqr=1,16:kws=arity_squared:nm=120:rtra=on:fe=abstraction:ss=axioms_2952 on theBenchmark for (2952ds/1774Mi)
% 33.25/5.72 % (516179)Refutation not found, incomplete strategy
% 33.25/5.72 % (516179)------------------------------
% 33.25/5.72 % (516179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.25/5.72 % (516179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.25/5.72 % (516179)CaDiCaL version: 2.1.3
% 33.25/5.72 % (516179)Termination reason: Refutation not found, incomplete strategy
% 33.25/5.72 % (516179)Time elapsed: 0.001 s
% 33.25/5.72 % (516179)Peak memory usage: 12 MB
% 33.25/5.72 % (516179)------------------------------
% 33.25/5.72 % (516179)------------------------------
% 33.25/5.72 % (516181)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1356928272:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2952 on theBenchmark for (2952ds/515Mi)
% 33.25/5.72 % (516181)Refutation not found, incomplete strategy
% 33.25/5.72 % (516181)------------------------------
% 33.25/5.72 % (516181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.25/5.72 % (516181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.25/5.72 % (516181)CaDiCaL version: 2.1.3
% 33.25/5.72 % (516181)Termination reason: Refutation not found, incomplete strategy
% 33.25/5.72 % (516181)Time elapsed: 0.001 s
% 33.25/5.72 % (516181)Peak memory usage: 12 MB
% 33.25/5.72 % (516181)------------------------------
% 33.25/5.72 % (516181)------------------------------
% 33.25/5.72 % (516094)Instruction limit reached!
% 33.25/5.72 % (516094)------------------------------
% 33.25/5.72 % (516094)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.25/5.72 % (516094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.25/5.72 % (516094)CaDiCaL version: 2.1.3
% 33.25/5.72 % (516094)Termination reason: Instruction limit
% 33.25/5.72 % (516094)Termination phase: Saturation
% 33.25/5.72 % (516094)Time elapsed: 1.387 s
% 33.25/5.72 % (516094)Peak memory usage: 16 MB
% 33.25/5.72 % (516094)Instructions burned: 4388 (million)
% 33.25/5.72 % (516184)dis+1002_1_to=lpo:drc=ordering:fde=none:bsd=on:si=on:ser=on:sp=const_min:cbe=off:uwa=off:flr=on:random_seed=2391913682:s2a=on:i=611:rtra=on:gsp=on_2952 on theBenchmark for (2952ds/611Mi)
% 33.25/5.72 % (516184)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 33.25/5.72 % (516183)WARNING Broken Constraint: if sine_to_age_generality_threshold(60) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 33.25/5.72 % (516183)lrs-30_5:1_sil=128000:drc=off:sas=cadical:si=on:lma=off:cbe=off:uwa=one_side_interpreted:s2agt=60:lwlo=on:random_seed=813147242:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_2952 on theBenchmark for (2952ds/1297Mi)
% 34.43/5.94 % (516184)Instruction limit reached!
% 34.43/5.94 % (516184)------------------------------
% 34.43/5.94 % (516184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.43/5.94 % (516184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.43/5.94 % (516184)CaDiCaL version: 2.1.3
% 34.43/5.94 % (516184)Termination reason: Instruction limit
% 34.43/5.94 % (516184)Termination phase: Saturation
% 34.43/5.94 % (516184)Time elapsed: 0.121 s
% 34.43/5.94 % (516184)Peak memory usage: 12 MB
% 34.43/5.94 % (516184)Instructions burned: 617 (million)
% 34.43/5.94 % (516187)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 34.43/5.94 % (516187)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=3157403631:i=72:bd=all:rtra=on_2951 on theBenchmark for (2951ds/72Mi)
% 34.43/5.94 % (516187)Refutation not found, incomplete strategy
% 34.43/5.94 % (516187)------------------------------
% 34.43/5.94 % (516187)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.43/5.94 % (516187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.43/5.94 % (516187)CaDiCaL version: 2.1.3
% 34.43/5.94 % (516187)Termination reason: Refutation not found, incomplete strategy
% 34.43/5.94 % (516187)Time elapsed: 0.0000 s
% 34.43/5.94 % (516187)Peak memory usage: 12 MB
% 34.43/5.94 % (516187)Instructions burned: 1 (million)
% 34.43/5.94 % (516187)------------------------------
% 34.43/5.94 % (516187)------------------------------
% 34.43/5.94 % (516189)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=3992660153:hsq=on:hsqr=16,1:s2a=on:i=6580:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2950 on theBenchmark for (2950ds/6580Mi)
% 34.43/5.94 % (516171)Instruction limit reached!
% 34.43/5.94 % (516171)------------------------------
% 34.43/5.94 % (516171)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.43/5.94 % (516171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.43/5.94 % (516171)CaDiCaL version: 2.1.3
% 34.43/5.94 % (516171)Termination reason: Instruction limit
% 34.43/5.94 % (516171)Termination phase: Saturation
% 34.43/5.94 % (516171)Time elapsed: 0.390 s
% 34.43/5.94 % (516171)Peak memory usage: 15 MB
% 34.43/5.94 % (516171)Instructions burned: 966 (million)
% 34.43/5.94 % (516191)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=3351901094:i=6209:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2950 on theBenchmark for (2950ds/6209Mi)
% 34.43/5.94 % (516191)Refutation not found, incomplete strategy
% 34.43/5.94 % (516191)------------------------------
% 34.43/5.94 % (516191)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.43/5.94 % (516191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.43/5.94 % (516191)CaDiCaL version: 2.1.3
% 34.43/5.94 % (516191)Termination reason: Refutation not found, incomplete strategy
% 34.43/5.94 % (516191)Time elapsed: 0.001 s
% 34.43/5.94 % (516191)Peak memory usage: 11 MB
% 34.43/5.94 % (516191)------------------------------
% 34.43/5.94 % (516191)------------------------------
% 34.43/5.94 % (516193)lrs+1002_14_sil=128000:e2e=on:si=on:urr=on:nwc=1.2:random_seed=1968618403:cond=fast:i=1003:bd=all:fsr=off:rtra=on:sup=off_2949 on theBenchmark for (2949ds/1003Mi)
% 34.43/5.94 % (516143)Instruction limit reached!
% 34.43/5.94 % (516143)------------------------------
% 34.43/5.94 % (516143)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.43/5.94 % (516143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.43/5.94 % (516143)CaDiCaL version: 2.1.3
% 34.43/5.94 % (516143)Termination reason: Instruction limit
% 34.43/5.94 % (516143)Termination phase: Saturation
% 34.43/5.94 % (516143)Time elapsed: 0.740 s
% 34.43/5.94 % (516143)Peak memory usage: 14 MB
% 34.43/5.94 % (516143)Instructions burned: 1000 (million)
% 34.43/5.94 % (516195)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 34.43/5.94 % (516195)ott+1002_16_sil=128000:si=on:random_seed=3264628862:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2949 on theBenchmark for (2949ds/409Mi)
% 34.43/5.94 % (516157)Instruction limit reached!
% 34.43/5.94 % (516157)------------------------------
% 34.43/5.94 % (516157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.43/5.94 % (516157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.43/5.97 % (516157)CaDiCaL version: 2.1.3
% 34.43/5.97 % (516157)Termination reason: Instruction limit
% 34.43/5.97 % (516157)Termination phase: Saturation
% 34.43/5.97 % (516157)Time elapsed: 0.779 s
% 34.43/5.97 % (516157)Peak memory usage: 13 MB
% 34.43/5.97 % (516157)Instructions burned: 1725 (million)
% 34.43/5.97 % (516197)ott+10_1024_sil=128000:tgt=ground:cnfonf=lazy_pi_sigma_gen:si=on:sp=const_frequency:sos=on:lma=off:bsr=on:uwa=one_side_interpreted:nwc=20:random_seed=2308824979:cond=on:i=403:kws=precedence:erml=3:bs=unit_only:bd=all:rtra=on:ss=axioms:er=known:ntd=on_2947 on theBenchmark for (2947ds/403Mi)
% 34.43/5.97 % (516197)Refutation not found, incomplete strategy
% 34.43/5.97 % (516197)------------------------------
% 34.43/5.97 % (516197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.43/5.97 % (516197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.43/5.97 % (516197)CaDiCaL version: 2.1.3
% 34.43/5.97 % (516197)Termination reason: Refutation not found, incomplete strategy
% 34.43/5.97 % (516197)Time elapsed: 0.001 s
% 34.43/5.97 % (516197)Peak memory usage: 12 MB
% 34.43/5.97 % (516197)Instructions burned: 1 (million)
% 34.43/5.97 % (516197)------------------------------
% 34.43/5.97 % (516197)------------------------------
% 34.43/5.97 % (516199)lrs+10_1_sil=128000:fde=none:cnfonf=lazy_pi_sigma_gen:si=on:random_seed=1333115203:st=2:i=6843:sd=2:bd=all:rtra=on:sup=off:ss=axioms_2947 on theBenchmark for (2947ds/6843Mi)
% 34.43/5.97 % (516199)Refutation not found, incomplete strategy
% 34.43/5.97 % (516199)------------------------------
% 34.43/5.97 % (516199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.43/5.97 % (516199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.43/5.97 % (516199)CaDiCaL version: 2.1.3
% 34.43/5.97 % (516199)Termination reason: Refutation not found, incomplete strategy
% 34.43/5.97 % (516199)Time elapsed: 0.001 s
% 34.43/5.97 % (516199)Peak memory usage: 11 MB
% 34.43/5.97 % (516199)Instructions burned: 1 (million)
% 34.43/5.97 % (516199)------------------------------
% 34.43/5.97 % (516199)------------------------------
% 34.43/5.97 % (516201)lrs+10_2:1_si=on:random_seed=1221608882:s2a=on:i=506:rtra=on:fe=abstraction_2947 on theBenchmark for (2947ds/506Mi)
% 34.43/5.97 % (516195)Instruction limit reached!
% 34.43/5.97 % (516195)------------------------------
% 34.43/5.97 % (516195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.43/5.97 % (516195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.43/5.97 % (516195)CaDiCaL version: 2.1.3
% 34.43/5.97 % (516195)Termination reason: Instruction limit
% 34.43/5.97 % (516195)Termination phase: Saturation
% 34.43/5.97 % (516195)Time elapsed: 0.250 s
% 34.43/5.97 % (516195)Peak memory usage: 12 MB
% 34.43/5.97 % (516195)Instructions burned: 410 (million)
% 34.43/5.97 % (516177)Instruction limit reached!
% 34.43/5.97 % (516177)------------------------------
% 34.43/5.97 % (516177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.43/5.97 % (516177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.43/5.97 % (516177)CaDiCaL version: 2.1.3
% 34.43/5.97 % (516177)Termination reason: Instruction limit
% 34.43/5.97 % (516177)Termination phase: Saturation
% 34.43/5.97 % (516177)Time elapsed: 0.713 s
% 34.43/5.97 % (516177)Peak memory usage: 13 MB
% 34.43/5.97 % (516177)Instructions burned: 1585 (million)
% 34.43/5.97 % (516204)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 34.43/5.97 % (516204)ott+1002_3:2_to=kbo:sil=128000:cnfonf=lazy_gen:si=on:sp=reverse_frequency:lma=off:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=1.5:random_seed=3691089092:cond=fast:i=416:fgj=on:bd=preordered:rtra=on_2946 on theBenchmark for (2946ds/416Mi)
% 34.43/5.97 % (516203)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=850703137:uwa_fpi=on:i=888:doe=on:bd=preordered:rtra=on:fsd=on_2946 on theBenchmark for (2946ds/888Mi)
% 34.43/5.97 % (516193)Instruction limit reached!
% 34.43/5.97 % (516193)------------------------------
% 34.43/5.97 % (516193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.43/5.97 % (516193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.43/5.97 % (516193)CaDiCaL version: 2.1.3
% 34.43/5.97 % (516193)Termination reason: Instruction limit
% 34.43/5.97 % (516193)Termination phase: Saturation
% 34.43/5.97 % (516193)Time elapsed: 0.461 s
% 34.43/5.97 % (516193)Peak memory usage: 13 MB
% 34.43/5.97 % (516193)Instructions burned: 1003 (million)
% 34.43/5.97 % (516207)dis+10_3:2_sfv=off:to=kbo:plsq=on:fde=unused:e2e=on:si=on:sp=reverse_frequency:acc=on:uwa=off:fd=preordered:slsqc=1:pe=on:slsq=on:random_seed=2881912100:hsq=on:hsqr=16,1:avsq=on:s2a=on:i=13534:hsql=off:nm=16:nicw=on:ins=20:rtra=on:ss=axioms:ntd=on_2945 on theBenchmark for (2945ds/13534Mi)
% 34.43/5.97 % (516207)Refutation not found, incomplete strategy
% 34.43/5.97 % (516207)------------------------------
% 34.43/5.97 % (516207)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.43/5.97 % (516207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.43/5.97 % (516207)CaDiCaL version: 2.1.3
% 34.43/5.97 % (516207)Termination reason: Refutation not found, incomplete strategy
% 34.43/5.97 % (516207)Time elapsed: 0.001 s
% 34.43/5.97 % (516207)Peak memory usage: 11 MB
% 34.43/5.97 % (516207)------------------------------
% 34.43/5.97 % (516207)------------------------------
% 34.43/5.97 % (516209)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(10) has been set then forward_subsumption_demodulation(off) is equal to on
% 34.43/5.97 % (516209)dis+1002_3_tgt=ground:cnfonf=lazy_simp:si=on:sp=unary_first:cbe=off:uwa=ground:updr=off:random_seed=22105918:i=206:fgj=on:hud=10:nm=30:rtra=on:fsdmm=10_2944 on theBenchmark for (2944ds/206Mi)
% 34.43/5.97 % (516201)Instruction limit reached!
% 34.43/5.97 % (516201)------------------------------
% 34.43/5.97 % (516201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.43/5.97 % (516201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.43/5.97 % (516201)CaDiCaL version: 2.1.3
% 34.43/5.97 % (516201)Termination reason: Instruction limit
% 34.43/5.97 % (516201)Termination phase: Saturation
% 34.43/5.97 % (516201)Time elapsed: 0.298 s
% 34.43/5.97 % (516201)Peak memory usage: 12 MB
% 34.43/5.97 % (516201)Instructions burned: 507 (million)
% 34.43/5.97 % (516211)dis+1010_1_sfv=off:slsqr=2,1:to=kbo:plsq=on:cnfonf=lazy_simp:si=on:cbe=off:uwa=hol:nwc=2:s2agt=16:slsq=on:random_seed=2055997349:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2295:avsqr=1,16:aac=none:hud=3:rtra=on_2944 on theBenchmark for (2944ds/2295Mi)
% 34.43/5.97 % (516183)Instruction limit reached!
% 34.43/5.97 % (516183)------------------------------
% 34.43/5.97 % (516183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.43/5.97 % (516183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.43/5.97 % (516183)CaDiCaL version: 2.1.3
% 34.43/5.97 % (516183)Termination reason: Instruction limit
% 34.43/5.97 % (516183)Termination phase: Saturation
% 34.43/5.97 % (516183)Time elapsed: 0.807 s
% 34.43/5.97 % (516183)Peak memory usage: 13 MB
% 34.43/5.97 % (516183)Instructions burned: 1298 (million)
% 34.43/5.97 % (516209)Instruction limit reached!
% 34.43/5.97 % (516209)------------------------------
% 34.43/5.97 % (516209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.43/5.97 % (516209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.43/5.97 % (516209)CaDiCaL version: 2.1.3
% 34.43/5.97 % (516209)Termination reason: Instruction limit
% 34.43/5.97 % (516209)Termination phase: Saturation
% 34.43/5.97 % (516209)Time elapsed: 0.078 s
% 34.43/5.97 % (516209)Peak memory usage: 12 MB
% 34.43/5.97 % (516209)Instructions burned: 208 (million)
% 34.43/5.97 % (516214)dis+1002_15:31_sil=128000:cnfonf=lazy_not_gen:si=on:cbe=off:uwa=off:random_seed=1283552494:hsq=on:i=667:rtra=on:ixr=off_2943 on theBenchmark for (2943ds/667Mi)
% 34.43/5.97 % (516213)ott+1010_1_to=lpo:sil=128000:fde=none:si=on:sp=unary_first:uwa=off:nwc=1:random_seed=1335756908:i=637:piset=not:ep=RST:bd=all:av=off:rtra=on_2944 on theBenchmark for (2944ds/637Mi)
% 34.43/5.97 % (516059) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-515733-516059"...
% 34.43/5.97 % (516204)Instruction limit reached!
% 34.43/5.97 % (516204)------------------------------
% 34.43/5.97 % (516204)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.43/5.97 % (516204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.43/5.97 % (516204)CaDiCaL version: 2.1.3
% 34.43/5.97 % (516204)Termination reason: Instruction limit
% 34.43/5.97 % (516204)Termination phase: Saturation
% 34.43/5.97 % (516204)Time elapsed: 0.326 s
% 34.43/5.97 % (516204)Peak memory usage: 14 MB
% 34.43/5.97 % (516204)Instructions burned: 416 (million)
% 34.43/5.97 % (516059)...printing done.
% 34.43/5.97 % (516059)Refutation found. Thanks to Tanya!
% 34.43/5.97 % SZS status Unsatisfiable for theBenchmark
% 34.43/5.97 % SZS output start Proof for theBenchmark
% See solution above
% 34.43/6.02 % (516059)------------------------------
% 34.43/6.02 % (516059)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.43/6.02 % (516059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.43/6.02 % (516059)CaDiCaL version: 2.1.3
% 34.43/6.02 % (516059)Termination reason: Refutation
% 34.43/6.02 % (516059)Time elapsed: 3.016 s
% 34.43/6.02 % (516059)Peak memory usage: 21 MB
% 34.43/6.02 % (516059)Instructions burned: 4783 (million)
% 34.43/6.02 % (515733)Success in time 5.759 s
% 34.43/6.02 % Vampire exiting
%------------------------------------------------------------------------------