%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA131^1 : 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 : n020.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 07:56:15 AM UTC 2026
% Result : Unsatisfiable 26.67s 4.36s
% Output : Refutation 27.39s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
s: $i > $i ).
thf(func_def_2,type,
r: $i > $i > $o ).
thf(func_def_3,type,
b: $i > $i > $o ).
thf(f1,axiom,
! [X0: $i] :
( ( s @ X0 )
!= z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',snz) ).
thf(f2,axiom,
! [X1: $i,X0: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sinj) ).
thf(f3,axiom,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ri) ).
thf(f4,axiom,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bi) ).
thf(f5,axiom,
! [X1: $i,X0: $i] :
( ( r @ X0 @ X1 )
| ( X0 = X1 )
| ( b @ X0 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rb) ).
thf(f6,axiom,
! [X1: $i,X0: $i,X3: $i,X2: $i] :
( ~ ( r @ X1 @ X2 )
| ~ ( r @ X1 @ X3 )
| ~ ( r @ X0 @ X3 )
| ~ ( r @ X0 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axr) ).
thf(f7,axiom,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ~ ( b @ X2 @ X4 )
| ~ ( b @ X0 @ X1 )
| ~ ( b @ X0 @ X4 )
| ~ ( b @ X3 @ X4 )
| ~ ( b @ X0 @ X3 )
| ~ ( b @ X1 @ X3 )
| ~ ( b @ X1 @ X2 ) ),
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] :
( ( r @ X1 @ X0 )
| ( X0 = X1 )
| ( b @ X1 @ X0 ) ),
inference(rectify,[],[f5]) ).
thf(f11,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X1 @ X0 )
= $true )
| ( X0 = X1 )
| ( ( b @ X1 @ X0 )
= $true ) ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( b @ X0 @ X4 )
| ~ ( b @ X2 @ X3 )
| ~ ( b @ X2 @ X4 )
| ~ ( b @ X1 @ X4 )
| ~ ( b @ X2 @ X1 )
| ~ ( b @ X3 @ X1 )
| ~ ( b @ X3 @ X0 ) ),
inference(rectify,[],[f7]) ).
thf(f13,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( b @ X0 @ X4 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X2 @ X4 )
!= $true )
| ( $true
!= ( b @ X1 @ X4 ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X3 @ X1 )
!= $true )
| ( ( b @ X3 @ X0 )
!= $true ) ),
inference(fool_elimination,[],[f12]) ).
thf(f14,plain,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
inference(rectify,[],[f3]) ).
thf(f15,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f14]) ).
thf(f16,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r @ X0 @ X3 )
| ~ ( r @ X0 @ X2 )
| ~ ( r @ X1 @ X2 )
| ~ ( r @ X1 @ X0 ) ),
inference(rectify,[],[f6]) ).
thf(f17,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X0 @ X3 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ 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 @ X0 @ X4 )
!= $true )
| ( ( b @ X3 @ X0 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X3 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ X4 ) )
| ( ( b @ X2 @ X4 )
!= $true ) ),
inference(flattening,[],[f13]) ).
thf(f20,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f15]) ).
thf(f21,plain,
! [X3: $i,X1: $i,X0: $i,X2: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X0 @ X3 )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true ) ),
inference(flattening,[],[f17]) ).
thf(f22,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X1 @ X3 )
!= $true )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X2 @ X3 )
!= $true ) ),
inference(rectify,[],[f21]) ).
thf(f23,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( b @ X3 @ X4 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ X4 )
!= $true )
| ( ( b @ X2 @ X4 )
!= $true ) ),
inference(rectify,[],[f19]) ).
thf(f24,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(rectify,[],[f2]) ).
thf(f25,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f18]) ).
thf(f26,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
= $true )
| ( X0 = X1 )
| ( ( r @ X1 @ X0 )
= $true ) ),
inference(cnf_transformation,[],[f11]) ).
thf(f27,plain,
! [X0: $i] :
( ( s @ X0 )
!= z ),
inference(cnf_transformation,[],[f1]) ).
thf(f28,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ X0 ) )
| ( ( r @ X1 @ X3 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X2 @ X3 )
!= $true ) ),
inference(cnf_transformation,[],[f22]) ).
thf(f29,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( b @ X3 @ X4 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X2 @ X4 )
!= $true )
| ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X0 @ X4 )
!= $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f30,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f31,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f20]) ).
thf(f34,plain,
! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ X0 ) ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) ),
inference(extensionality_resolution,[],[f26,f27]) ).
thf(f35,plain,
! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) ),
inference(extensionality_resolution,[],[f26,f27]) ).
thf(f36,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( X0 = X1 )
| ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true ) ),
inference(extensionality_resolution,[],[f26,f30]) ).
thf(f41,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( ( b @ X2 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X3 @ ( s @ X0 ) )
!= $true ) ),
inference(constrained_superposition,[],[f29,f34]) ).
thf(f42,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X3 @ ( s @ X0 ) )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( b @ X1 @ X3 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f41]) ).
thf(f44,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ z @ X2 )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X2 @ ( s @ X0 ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f42,f34]) ).
thf(f46,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ z @ X2 )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true != $true )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ ( s @ X0 ) )
!= $true ) ),
inference(duplicate_literal_removal,[],[f44]) ).
thf(f47,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ X0 ) )
!= $true )
| ( ( b @ z @ X2 )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) ),
inference(trivial_inequality_removal,[],[f46]) ).
thf(f53,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X3 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X2 @ ( s @ X0 ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ X3 @ z )
!= $true ) ),
inference(constrained_superposition,[],[f29,f35]) ).
thf(f54,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ X0 ) )
!= $true )
| ( ( b @ X3 @ z )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) ),
inference(trivial_inequality_removal,[],[f53]) ).
thf(f56,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true )
| ( ( b @ X2 @ z )
!= $true ) ),
inference(constrained_superposition,[],[f54,f34]) ).
thf(f57,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( b @ z @ X1 )
!= $true ) ),
inference(duplicate_literal_removal,[],[f56]) ).
thf(f58,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) ),
inference(trivial_inequality_removal,[],[f57]) ).
thf(f61,definition,
( spl0_1
<=> ! [X2: $i,X1: $i] :
( ( ( b @ z @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
thf(f62,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ z @ X1 )
!= $true ) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f61]) ).
thf(f64,definition,
( spl0_2
<=> ! [X0: $i] :
( ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
thf(f65,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f64]) ).
thf(f66,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f58,f64,f61]) ).
thf(f67,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( r @ ( s @ X0 ) @ X2 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f28,f65]) ).
thf(f68,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ X2 )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ ( s @ X0 ) )
!= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f67]) ).
thf(f69,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f68,f65]) ).
thf(f70,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( r @ X1 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f69]) ).
thf(f71,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f70]) ).
thf(f72,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ),
inference(extensionality_resolution,[],[f36,f27]) ).
thf(f73,plain,
! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f36,f27]) ).
thf(f74,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
= $true )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f36,f30]) ).
thf(f84,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X1 @ z ) ) ),
inference(constrained_superposition,[],[f54,f72]) ).
thf(f86,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f42,f72]) ).
thf(f87,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X3 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true ) ),
inference(constrained_superposition,[],[f29,f72]) ).
thf(f88,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ X3 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f87]) ).
thf(f89,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) ),
inference(trivial_inequality_removal,[],[f84]) ).
thf(f90,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ z @ ( s @ z ) ) ) ),
inference(trivial_inequality_removal,[],[f86]) ).
thf(f93,definition,
( spl0_3
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
thf(f94,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f93]) ).
thf(f96,definition,
( spl0_4
<=> ( ( r @ ( s @ z ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
thf(f97,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f96]) ).
thf(f98,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f89,f96,f93]) ).
thf(f100,definition,
( spl0_5
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
thf(f101,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f100]) ).
thf(f103,definition,
( spl0_6
<=> ( $true
= ( r @ z @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
thf(f104,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f103]) ).
thf(f105,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f90,f103,f100]) ).
thf(f110,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f28,f104]) ).
thf(f111,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f110]) ).
thf(f112,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f111,f104]) ).
thf(f113,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f112]) ).
thf(f130,definition,
( spl0_9
<=> ( ( b @ ( s @ z ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
thf(f131,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| spl0_9 ),
inference(avatar_component_clause,[],[f130]) ).
thf(f133,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true != $true )
| spl0_9 ),
inference(constrained_superposition,[],[f131,f35]) ).
thf(f135,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| spl0_9 ),
inference(trivial_inequality_removal,[],[f133]) ).
thf(f137,plain,
( spl0_4
| spl0_9 ),
inference(avatar_split_clause,[],[f135,f130,f96]) ).
thf(f140,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f28,f97]) ).
thf(f141,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f140]) ).
thf(f143,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f141,f97]) ).
thf(f145,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f143]) ).
thf(f148,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true )
| ( ( b @ X2 @ z )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true ) ),
inference(constrained_superposition,[],[f88,f34]) ).
thf(f151,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f148]) ).
thf(f154,definition,
( spl0_10
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
thf(f155,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X2 @ z )
!= $true ) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f154]) ).
thf(f157,definition,
( spl0_11
<=> ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
thf(f158,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f157]) ).
thf(f159,plain,
( spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f151,f157,f154]) ).
thf(f163,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f155,f72]) ).
thf(f166,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f163]) ).
thf(f174,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f88,f73]) ).
thf(f176,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true ) ),
inference(constrained_superposition,[],[f47,f73]) ).
thf(f178,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ X3 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) ) ),
inference(constrained_superposition,[],[f29,f73]) ).
thf(f179,plain,
! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ z @ X1 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f176]) ).
thf(f182,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true != $true ) ),
inference(duplicate_literal_removal,[],[f174]) ).
thf(f183,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f182]) ).
thf(f184,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X3 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f178]) ).
thf(f186,definition,
( spl0_12
<=> ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
thf(f187,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f186]) ).
thf(f189,definition,
( spl0_13
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
thf(f190,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f189]) ).
thf(f192,definition,
( spl0_14
<=> ( ( b @ z @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
thf(f193,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| spl0_14 ),
inference(avatar_component_clause,[],[f192]) ).
thf(f194,plain,
( spl0_12
| spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f179,f192,f189,f186]) ).
thf(f196,definition,
( spl0_15
<=> ! [X2: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
thf(f197,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f196]) ).
thf(f203,definition,
( spl0_17
<=> ! [X2: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
thf(f204,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f203]) ).
thf(f206,definition,
( spl0_18
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
thf(f207,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f206]) ).
thf(f208,plain,
( spl0_17
| spl0_18 ),
inference(avatar_split_clause,[],[f183,f206,f203]) ).
thf(f209,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| spl0_14 ),
inference(constrained_superposition,[],[f193,f34]) ).
thf(f212,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| spl0_14 ),
inference(trivial_inequality_removal,[],[f209]) ).
thf(f224,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_15 ),
inference(constrained_superposition,[],[f197,f72]) ).
thf(f225,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f224]) ).
thf(f246,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) ) ),
inference(constrained_superposition,[],[f184,f73]) ).
thf(f248,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
inference(duplicate_literal_removal,[],[f246]) ).
thf(f249,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f248]) ).
thf(f253,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) ),
inference(constrained_superposition,[],[f249,f34]) ).
thf(f257,plain,
! [X0: $i,X1: $i] :
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f253]) ).
thf(f263,plain,
! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f74,f27]) ).
thf(f264,plain,
! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f74,f27]) ).
thf(f286,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ),
inference(constrained_superposition,[],[f184,f263]) ).
thf(f287,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) ),
inference(constrained_superposition,[],[f88,f263]) ).
thf(f288,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X2 @ z )
!= $true ) ),
inference(constrained_superposition,[],[f54,f263]) ).
thf(f290,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(constrained_superposition,[],[f42,f263]) ).
thf(f291,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X3 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f29,f263]) ).
thf(f292,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f287]) ).
thf(f293,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X2 @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( b @ X2 @ X1 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f288]) ).
thf(f296,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) ) ),
inference(trivial_inequality_removal,[],[f290]) ).
thf(f298,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X3 @ ( s @ ( s @ z ) ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f291]) ).
thf(f299,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f286]) ).
thf(f302,definition,
( spl0_19
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
thf(f303,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f302]) ).
thf(f305,definition,
( spl0_20
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
thf(f306,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) ) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f305]) ).
thf(f307,plain,
( spl0_19
| spl0_20 ),
inference(avatar_split_clause,[],[f292,f305,f302]) ).
thf(f309,definition,
( spl0_21
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( b @ X2 @ z )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
thf(f310,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f309]) ).
thf(f312,definition,
( spl0_22
<=> ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
thf(f313,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f312]) ).
thf(f314,plain,
( spl0_21
| spl0_22 ),
inference(avatar_split_clause,[],[f293,f312,f309]) ).
thf(f319,definition,
( spl0_24
<=> ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
thf(f320,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| spl0_24 ),
inference(avatar_component_clause,[],[f319]) ).
thf(f326,definition,
( spl0_26
<=> ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
thf(f327,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f326]) ).
thf(f330,definition,
( spl0_27
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
thf(f331,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f330]) ).
thf(f332,plain,
( spl0_26
| spl0_27 ),
inference(avatar_split_clause,[],[f296,f330,f326]) ).
thf(f334,definition,
( spl0_28
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
thf(f335,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f334]) ).
thf(f341,definition,
( spl0_30
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
thf(f342,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f341]) ).
thf(f343,plain,
( spl0_30
| spl0_28 ),
inference(avatar_split_clause,[],[f299,f334,f341]) ).
thf(f345,definition,
( spl0_31
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
thf(f346,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f345]) ).
thf(f348,definition,
( spl0_32
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
thf(f349,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| spl0_32 ),
inference(avatar_component_clause,[],[f348]) ).
thf(f351,definition,
( spl0_33
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
thf(f352,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_33 ),
inference(avatar_component_clause,[],[f351]) ).
thf(f354,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| spl0_24 ),
inference(constrained_superposition,[],[f320,f35]) ).
thf(f356,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| spl0_24 ),
inference(trivial_inequality_removal,[],[f354]) ).
thf(f358,plain,
( spl0_22
| spl0_24 ),
inference(avatar_split_clause,[],[f356,f319,f312]) ).
thf(f361,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_22 ),
inference(constrained_superposition,[],[f28,f313]) ).
thf(f362,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f361]) ).
thf(f365,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_26 ),
inference(constrained_superposition,[],[f28,f327]) ).
thf(f366,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f365]) ).
thf(f369,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_6
| ~ spl0_19 ),
inference(constrained_superposition,[],[f113,f303]) ).
thf(f370,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_2
| ~ spl0_19 ),
inference(constrained_superposition,[],[f71,f303]) ).
thf(f374,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_2
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f370]) ).
thf(f375,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_6
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f369]) ).
thf(f376,plain,
( $false
| ~ spl0_6
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f375,f313]) ).
thf(f377,plain,
( ~ spl0_6
| ~ spl0_19
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f376]) ).
thf(f378,plain,
( spl0_6
| spl0_14 ),
inference(avatar_split_clause,[],[f212,f192,f103]) ).
thf(f379,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ~ spl0_2
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f374,f313]) ).
thf(f382,definition,
( spl0_34
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
thf(f383,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f382]) ).
thf(f385,plain,
( spl0_6
| ~ spl0_2
| ~ spl0_19
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f379,f312,f302,f64,f103]) ).
thf(f387,definition,
( spl0_35
<=> ! [X1: $i] :
( ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
thf(f388,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ z @ X1 )
!= $true ) )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f387]) ).
thf(f389,plain,
( spl0_12
| ~ spl0_14
| spl0_35 ),
inference(avatar_split_clause,[],[f257,f387,f192,f186]) ).
thf(f392,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_2
| ~ spl0_28 ),
inference(constrained_superposition,[],[f71,f335]) ).
thf(f396,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_2
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f392]) ).
thf(f399,definition,
( spl0_36
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
thf(f400,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f399]) ).
thf(f404,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true != $true )
| spl0_32 ),
inference(constrained_superposition,[],[f349,f26]) ).
thf(f407,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_32 ),
inference(trivial_inequality_removal,[],[f404]) ).
thf(f411,definition,
( spl0_37
<=> ( ( s @ ( s @ z ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
thf(f412,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f411]) ).
thf(f413,plain,
( spl0_37
| spl0_19
| spl0_32 ),
inference(avatar_split_clause,[],[f407,f348,f302,f411]) ).
thf(f419,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_26 ),
inference(constrained_superposition,[],[f366,f327]) ).
thf(f420,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f419]) ).
thf(f421,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_26
| ~ spl0_28 ),
inference(constrained_superposition,[],[f420,f335]) ).
thf(f423,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_26
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f421]) ).
thf(f425,plain,
( $false
| ~ spl0_4
| ~ spl0_26
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f423,f97]) ).
thf(f426,plain,
( ~ spl0_4
| ~ spl0_26
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f425]) ).
thf(f427,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f396,f97]) ).
thf(f428,plain,
( spl0_26
| ~ spl0_2
| ~ spl0_4
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f427,f334,f96,f64,f326]) ).
thf(f429,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_22 ),
inference(constrained_superposition,[],[f362,f313]) ).
thf(f432,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f429]) ).
thf(f505,definition,
( spl0_41
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
thf(f506,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f505]) ).
thf(f519,definition,
( spl0_42
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
thf(f520,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f519]) ).
thf(f522,definition,
( spl0_43
<=> ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
thf(f523,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_43 ),
inference(avatar_component_clause,[],[f522]) ).
thf(f525,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_43 ),
inference(constrained_superposition,[],[f523,f34]) ).
thf(f528,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_43 ),
inference(trivial_inequality_removal,[],[f525]) ).
thf(f530,plain,
( spl0_26
| spl0_43 ),
inference(avatar_split_clause,[],[f528,f522,f326]) ).
thf(f576,definition,
( spl0_47
<=> ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
thf(f577,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f576]) ).
thf(f580,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_2
| ~ spl0_12 ),
inference(constrained_superposition,[],[f68,f187]) ).
thf(f588,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_2
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f580]) ).
thf(f594,definition,
( spl0_48
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
thf(f595,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f594]) ).
thf(f596,plain,
( spl0_6
| spl0_48
| ~ spl0_2
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f588,f186,f64,f594,f103]) ).
thf(f599,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_35 ),
inference(constrained_superposition,[],[f388,f26]) ).
thf(f602,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ X0 ) ) )
!= $true ) )
| ~ spl0_35 ),
inference(constrained_superposition,[],[f388,f72]) ).
thf(f603,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f599]) ).
thf(f606,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f602]) ).
thf(f608,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( z = X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_35 ),
inference(constrained_superposition,[],[f603,f26]) ).
thf(f609,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( r @ z @ X0 )
= $true )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f608]) ).
thf(f611,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_35 ),
inference(constrained_superposition,[],[f606,f34]) ).
thf(f614,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f611]) ).
thf(f616,plain,
( spl0_11
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f614,f387,f157]) ).
thf(f617,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ z )
!= $true )
| ( z = X0 )
| ( ( r @ z @ X0 )
= $true ) )
| ~ spl0_4
| ~ spl0_35 ),
inference(constrained_superposition,[],[f145,f609]) ).
thf(f618,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( z = X0 )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( ( r @ z @ X0 )
= $true ) )
| ~ spl0_2
| ~ spl0_35 ),
inference(constrained_superposition,[],[f71,f609]) ).
thf(f622,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( r @ z @ X0 )
= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_4
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f617]) ).
thf(f623,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ z @ X0 )
= $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_2
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f618]) ).
thf(f629,definition,
( spl0_49
<=> ! [X0: $i] :
( ( z = X0 )
| ( ( s @ z )
= X0 )
| ( ( r @ z @ X0 )
= $true )
| ( ( r @ X0 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
thf(f630,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( ( r @ z @ X0 )
= $true ) )
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f629]) ).
thf(f631,plain,
( spl0_6
| spl0_49
| ~ spl0_2
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f623,f387,f64,f629,f103]) ).
thf(f633,plain,
( spl0_49
| ~ spl0_4
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f622,f387,f96,f629]) ).
thf(f635,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_22
| ~ spl0_49 ),
inference(constrained_superposition,[],[f630,f313]) ).
thf(f638,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_22
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f635]) ).
thf(f640,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_22
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f638,f27]) ).
thf(f641,plain,
( spl0_37
| spl0_26
| ~ spl0_22
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f640,f629,f312,f326,f411]) ).
thf(f649,plain,
( ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_37 ),
inference(constrained_superposition,[],[f73,f412]) ).
thf(f728,definition,
( spl0_53
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).
thf(f729,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f728]) ).
thf(f731,definition,
( spl0_54
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
thf(f732,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f731]) ).
thf(f740,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f649,f25]) ).
thf(f742,definition,
( spl0_56
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
thf(f743,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f742]) ).
thf(f748,definition,
( spl0_57
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
thf(f749,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f748]) ).
thf(f752,definition,
( spl0_58
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).
thf(f753,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f752]) ).
thf(f757,plain,
( $false
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f740,f31]) ).
thf(f758,plain,
~ spl0_37,
inference(avatar_contradiction_clause,[],[f757]) ).
thf(f760,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f28,f104]) ).
thf(f762,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f760]) ).
thf(f809,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_33 ),
inference(constrained_superposition,[],[f352,f73]) ).
thf(f814,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_33 ),
inference(trivial_inequality_removal,[],[f809]) ).
thf(f817,plain,
( spl0_28
| spl0_33 ),
inference(avatar_split_clause,[],[f814,f351,f334]) ).
thf(f820,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
!= $true ) )
| ~ spl0_4
| ~ spl0_18 ),
inference(constrained_superposition,[],[f145,f207]) ).
thf(f827,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_4
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f820]) ).
thf(f830,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_4
| ~ spl0_18
| ~ spl0_22 ),
inference(constrained_superposition,[],[f827,f313]) ).
thf(f833,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_4
| ~ spl0_18
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f830]) ).
thf(f835,plain,
( spl0_28
| ~ spl0_4
| ~ spl0_18
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f833,f312,f206,f96,f334]) ).
thf(f883,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_22
| ~ spl0_42 ),
inference(constrained_superposition,[],[f432,f520]) ).
thf(f885,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_42
| ~ spl0_48 ),
inference(constrained_superposition,[],[f595,f520]) ).
thf(f891,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_42
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f885]) ).
thf(f892,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_22
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f883]) ).
thf(f897,definition,
( spl0_59
<=> ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).
thf(f898,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f897]) ).
thf(f899,plain,
( spl0_26
| spl0_59
| ~ spl0_42
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f891,f594,f519,f897,f326]) ).
thf(f900,plain,
( ! [X0: $i] :
( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_22
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[],[f892,f65]) ).
thf(f902,definition,
( spl0_60
<=> ! [X0: $i] :
( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).
thf(f903,plain,
( ! [X0: $i] :
( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f902]) ).
thf(f905,plain,
( spl0_60
| ~ spl0_2
| ~ spl0_22
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f900,f519,f312,f64,f902]) ).
thf(f918,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_36
| ~ spl0_47 ),
inference(constrained_superposition,[],[f400,f577]) ).
thf(f926,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_36
| ~ spl0_47 ),
inference(trivial_inequality_removal,[],[f918]) ).
thf(f929,definition,
( spl0_61
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).
thf(f930,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f929]) ).
thf(f932,plain,
( spl0_61
| ~ spl0_36
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f926,f576,f399,f929]) ).
thf(f934,definition,
( spl0_62
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).
thf(f935,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f934]) ).
thf(f958,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true ) )
| ~ spl0_22
| ~ spl0_31 ),
inference(constrained_superposition,[],[f432,f346]) ).
thf(f964,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_22
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f958]) ).
thf(f968,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ~ spl0_4
| ~ spl0_22
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f964,f145]) ).
thf(f971,definition,
( spl0_63
<=> ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).
thf(f972,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f971]) ).
thf(f974,plain,
( spl0_63
| ~ spl0_4
| ~ spl0_22
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f968,f345,f312,f96,f971]) ).
thf(f975,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_2
| ~ spl0_63 ),
inference(constrained_superposition,[],[f972,f65]) ).
thf(f976,plain,
( ! [X0: $i] :
( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_63 ),
inference(trivial_inequality_removal,[],[f975]) ).
thf(f991,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_26 ),
inference(avatar_component_clause,[],[f326]) ).
thf(f1013,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) ),
inference(constrained_superposition,[],[f249,f264]) ).
thf(f1017,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) ),
inference(constrained_superposition,[],[f47,f264]) ).
thf(f1019,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X3 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) ),
inference(constrained_superposition,[],[f29,f264]) ).
thf(f1020,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f1013]) ).
thf(f1024,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X3 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f1019]) ).
thf(f1028,plain,
! [X0: $i,X1: $i] :
( ( ( b @ z @ X1 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ z ) ) ),
inference(trivial_inequality_removal,[],[f1017]) ).
thf(f1036,definition,
( spl0_65
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
thf(f1037,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f1036]) ).
thf(f1038,plain,
( ~ spl0_32
| spl0_65
| spl0_58 ),
inference(avatar_split_clause,[],[f1020,f752,f1036,f348]) ).
thf(f1040,definition,
( spl0_66
<=> ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
thf(f1041,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f1040]) ).
thf(f1057,definition,
( spl0_70
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).
thf(f1058,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f1057]) ).
thf(f1068,definition,
( spl0_73
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X2 @ z )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
thf(f1069,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X2 @ z )
!= $true ) )
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f1068]) ).
thf(f1074,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_58 ),
inference(constrained_superposition,[],[f753,f264]) ).
thf(f1085,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_58 ),
inference(trivial_inequality_removal,[],[f1074]) ).
thf(f1086,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_58 ),
inference(constrained_superposition,[],[f1085,f72]) ).
thf(f1089,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_58 ),
inference(trivial_inequality_removal,[],[f1086]) ).
thf(f1092,plain,
( spl0_70
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f1089,f752,f1057]) ).
thf(f1161,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ),
inference(constrained_superposition,[],[f1024,f264]) ).
thf(f1168,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) ) ),
inference(duplicate_literal_removal,[],[f1161]) ).
thf(f1169,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) ) ),
inference(trivial_inequality_removal,[],[f1168]) ).
thf(f1171,plain,
! [X0: $i,X1: $i] :
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
inference(constrained_superposition,[],[f1169,f34]) ).
thf(f1175,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
inference(constrained_superposition,[],[f1169,f73]) ).
thf(f1181,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ z @ X1 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f1171]) ).
thf(f1182,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f1175]) ).
thf(f1184,definition,
( spl0_76
<=> ! [X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).
thf(f1185,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_76 ),
inference(avatar_component_clause,[],[f1184]) ).
thf(f1186,plain,
( ~ spl0_33
| spl0_65
| spl0_76 ),
inference(avatar_split_clause,[],[f1182,f1184,f1036,f351]) ).
thf(f1191,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_76 ),
inference(constrained_superposition,[],[f1185,f263]) ).
thf(f1194,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f1191]) ).
thf(f1199,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_76 ),
inference(constrained_superposition,[],[f1194,f73]) ).
thf(f1204,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f1199]) ).
thf(f1206,plain,
( spl0_47
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f1204,f1184,f576]) ).
thf(f1366,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| spl0_19 ),
inference(avatar_component_clause,[],[f302]) ).
thf(f1586,definition,
( spl0_81
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).
thf(f1587,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ z @ X1 )
!= $true ) )
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f1586]) ).
thf(f1732,definition,
( spl0_83
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
thf(f1733,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ X1 )
!= $true ) )
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f1732]) ).
thf(f1735,definition,
( spl0_84
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).
thf(f1736,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f1735]) ).
thf(f1737,plain,
( ~ spl0_43
| spl0_83
| spl0_84 ),
inference(avatar_split_clause,[],[f1181,f1735,f1732,f522]) ).
thf(f1738,plain,
( spl0_60
| ~ spl0_2
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f976,f971,f64,f902]) ).
thf(f1739,plain,
( spl0_84
| spl0_81
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f1028,f522,f1586,f1735]) ).
thf(f1744,plain,
( ! [X2: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( ( r @ z @ X2 )
!= $true ) )
| ~ spl0_60 ),
inference(constrained_superposition,[],[f28,f903]) ).
thf(f1747,plain,
( ! [X2: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ z @ X2 )
!= $true ) )
| ~ spl0_60 ),
inference(trivial_inequality_removal,[],[f1744]) ).
thf(f1849,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_28 ),
inference(avatar_component_clause,[],[f334]) ).
thf(f1852,definition,
( spl0_85
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).
thf(f1853,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_85 ),
inference(avatar_component_clause,[],[f1852]) ).
thf(f1856,definition,
( spl0_86
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).
thf(f1857,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_86 ),
inference(avatar_component_clause,[],[f1856]) ).
thf(f1861,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ X0 ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_76 ),
inference(constrained_superposition,[],[f1185,f36]) ).
thf(f1870,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ X0 ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f1861]) ).
thf(f1876,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_58 ),
inference(constrained_superposition,[],[f753,f26]) ).
thf(f1881,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_58 ),
inference(trivial_inequality_removal,[],[f1876]) ).
thf(f1946,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_58 ),
inference(constrained_superposition,[],[f1881,f26]) ).
thf(f1947,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_58 ),
inference(constrained_superposition,[],[f1881,f34]) ).
thf(f1951,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_58 ),
inference(trivial_inequality_removal,[],[f1947]) ).
thf(f1952,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true ) )
| ~ spl0_58 ),
inference(trivial_inequality_removal,[],[f1946]) ).
thf(f1955,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( $true != $true ) )
| ~ spl0_76 ),
inference(constrained_superposition,[],[f1870,f36]) ).
thf(f1959,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z = X0 )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f1955]) ).
thf(f1985,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ z )
= X0 )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
!= $true ) )
| ~ spl0_2
| ~ spl0_76 ),
inference(constrained_superposition,[],[f71,f1959]) ).
thf(f1989,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( z = X0 )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true ) )
| ~ spl0_2
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f1985]) ).
thf(f1993,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( z = X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_2
| spl0_26
| ~ spl0_76 ),
inference(forward_subsumption_resolution,[],[f1989,f991]) ).
thf(f1994,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true != $true )
| ( z = X0 )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_2
| spl0_26
| ~ spl0_76 ),
inference(constrained_superposition,[],[f1993,f65]) ).
thf(f1995,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_2
| spl0_26
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f1994]) ).
thf(f1999,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true != $true )
| ( z = X0 )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_2
| spl0_26
| ~ spl0_76 ),
inference(constrained_superposition,[],[f71,f1995]) ).
thf(f2006,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( ( r @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_2
| spl0_26
| ~ spl0_76 ),
inference(duplicate_literal_removal,[],[f1999]) ).
thf(f2007,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_2
| spl0_26
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f2006]) ).
thf(f2016,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( z = X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_2
| ~ spl0_4
| spl0_26
| ~ spl0_76 ),
inference(forward_subsumption_resolution,[],[f2007,f97]) ).
thf(f2020,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( ( r @ X1 @ z )
!= $true )
| ( z = X0 ) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_26
| ~ spl0_76 ),
inference(constrained_superposition,[],[f762,f2016]) ).
thf(f2028,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ X1 @ z )
!= $true )
| ( z = X0 ) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_26
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f2020]) ).
thf(f2044,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( z = X0 )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_26
| ~ spl0_58
| ~ spl0_76 ),
inference(constrained_superposition,[],[f2028,f1952]) ).
thf(f2052,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ z )
= X0 )
| ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( z = X0 )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_26
| ~ spl0_58
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f2044]) ).
thf(f2060,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true ) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_26
| ~ spl0_58
| ~ spl0_76 ),
inference(forward_subsumption_resolution,[],[f2052,f30]) ).
thf(f2065,definition,
( spl0_89
<=> ! [X2: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).
thf(f2066,plain,
( ! [X2: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f2065]) ).
thf(f2068,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| spl0_22 ),
inference(avatar_component_clause,[],[f312]) ).
thf(f2078,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ z )
= X0 )
| ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true ) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_26
| ~ spl0_58
| ~ spl0_76 ),
inference(forward_subsumption_resolution,[],[f2060,f30]) ).
thf(f2080,definition,
( spl0_92
<=> ! [X0: $i] :
( ( z = X0 )
| ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).
thf(f2081,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_92 ),
inference(avatar_component_clause,[],[f2080]) ).
thf(f2082,plain,
( ~ spl0_22
| spl0_92
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| spl0_26
| ~ spl0_58
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f2078,f1184,f752,f326,f103,f96,f64,f2080,f312]) ).
thf(f2083,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_2
| spl0_22 ),
inference(constrained_superposition,[],[f2068,f65]) ).
thf(f2085,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_2
| spl0_22 ),
inference(trivial_inequality_removal,[],[f2083]) ).
thf(f2095,definition,
( spl0_94
<=> ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( z = X0 )
| ( ( s @ z )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).
thf(f2096,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
!= $true )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true ) )
| ~ spl0_94 ),
inference(avatar_component_clause,[],[f2095]) ).
thf(f2098,plain,
( spl0_26
| ~ spl0_2
| spl0_22 ),
inference(avatar_split_clause,[],[f2085,f312,f64,f326]) ).
thf(f2105,definition,
( spl0_96
<=> ! [X0: $i] :
( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).
thf(f2106,plain,
( ! [X0: $i] :
( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_96 ),
inference(avatar_component_clause,[],[f2105]) ).
thf(f2108,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_6
| ~ spl0_26 ),
inference(constrained_superposition,[],[f762,f327]) ).
thf(f2110,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_26 ),
inference(constrained_superposition,[],[f28,f327]) ).
thf(f2111,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_6
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f2108]) ).
thf(f2112,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f2110]) ).
thf(f2162,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
!= $true )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_6
| ~ spl0_26
| ~ spl0_76 ),
inference(constrained_superposition,[],[f2111,f1959]) ).
thf(f2168,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( r @ ( s @ X0 ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( z = X0 ) )
| ~ spl0_6
| ~ spl0_26
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f2162]) ).
thf(f2170,plain,
( spl0_94
| ~ spl0_6
| ~ spl0_26
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f2168,f1184,f326,f103,f2095]) ).
thf(f2247,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_2
| ~ spl0_12 ),
inference(constrained_superposition,[],[f71,f187]) ).
thf(f2261,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_2
| ~ spl0_12 ),
inference(duplicate_literal_removal,[],[f2247]) ).
thf(f2262,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_2
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f2261]) ).
thf(f2264,plain,
( ! [X0: $i] :
( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f2262,f97]) ).
thf(f2287,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( ( s @ z )
= X0 )
| ( $true != $true ) )
| ~ spl0_2
| ~ spl0_94 ),
inference(constrained_superposition,[],[f2096,f65]) ).
thf(f2288,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( z = X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_2
| ~ spl0_94 ),
inference(trivial_inequality_removal,[],[f2287]) ).
thf(f2292,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_2
| ~ spl0_94 ),
inference(constrained_superposition,[],[f71,f2288]) ).
thf(f2302,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_2
| ~ spl0_94 ),
inference(duplicate_literal_removal,[],[f2292]) ).
thf(f2303,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_2
| ~ spl0_94 ),
inference(trivial_inequality_removal,[],[f2302]) ).
thf(f2310,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_94 ),
inference(forward_subsumption_resolution,[],[f2303,f97]) ).
thf(f2339,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_18
| spl0_19 ),
inference(constrained_superposition,[],[f1366,f207]) ).
thf(f2349,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_18
| spl0_19 ),
inference(trivial_inequality_removal,[],[f2339]) ).
thf(f2351,plain,
( $false
| ~ spl0_18
| spl0_19
| spl0_28 ),
inference(forward_subsumption_resolution,[],[f2349,f1849]) ).
thf(f2352,plain,
( ~ spl0_18
| spl0_19
| spl0_28 ),
inference(avatar_contradiction_clause,[],[f2351]) ).
thf(f2358,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_19 ),
inference(constrained_superposition,[],[f28,f303]) ).
thf(f2360,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f2358]) ).
thf(f2364,plain,
( spl0_89
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f2360,f302,f2065]) ).
thf(f2371,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_19
| ~ spl0_89 ),
inference(constrained_superposition,[],[f2066,f303]) ).
thf(f2372,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_18
| ~ spl0_89 ),
inference(constrained_superposition,[],[f2066,f207]) ).
thf(f2375,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_19
| ~ spl0_89 ),
inference(trivial_inequality_removal,[],[f2371]) ).
thf(f2377,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_18
| ~ spl0_89 ),
inference(trivial_inequality_removal,[],[f2372]) ).
thf(f2379,plain,
( spl0_36
| ~ spl0_19
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f2375,f2065,f302,f399]) ).
thf(f2380,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_4
| ~ spl0_18
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[],[f2377,f141]) ).
thf(f2381,plain,
( spl0_36
| ~ spl0_4
| ~ spl0_18
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f2380,f2065,f206,f96,f399]) ).
thf(f2397,definition,
( spl0_98
<=> ! [X2: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ z @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).
thf(f2398,plain,
( ! [X2: $i,X1: $i] :
( ( ( r @ z @ X2 )
!= $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_98 ),
inference(avatar_component_clause,[],[f2397]) ).
thf(f2404,plain,
( spl0_98
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f1747,f902,f2397]) ).
thf(f2410,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[],[f1951,f27]) ).
thf(f2411,plain,
( spl0_98
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f2112,f326,f2397]) ).
thf(f2414,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| spl0_22
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[],[f2410,f2068]) ).
thf(f2415,plain,
( spl0_6
| spl0_22
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f2414,f752,f312,f103]) ).
thf(f2422,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( s @ z )
= X0 )
| ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( z = X0 )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_94
| ~ spl0_98 ),
inference(constrained_superposition,[],[f2398,f2310]) ).
thf(f2424,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_26
| ~ spl0_98 ),
inference(constrained_superposition,[],[f2398,f327]) ).
thf(f2425,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true ) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_12
| ~ spl0_98 ),
inference(constrained_superposition,[],[f2398,f2264]) ).
thf(f2426,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_12
| ~ spl0_98 ),
inference(trivial_inequality_removal,[],[f2425]) ).
thf(f2428,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_26
| ~ spl0_98 ),
inference(trivial_inequality_removal,[],[f2424]) ).
thf(f2429,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_94
| ~ spl0_98 ),
inference(trivial_inequality_removal,[],[f2422]) ).
thf(f2588,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_12
| ~ spl0_96
| ~ spl0_98 ),
inference(constrained_superposition,[],[f2426,f2106]) ).
thf(f2594,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_12
| ~ spl0_96
| ~ spl0_98 ),
inference(trivial_inequality_removal,[],[f2588]) ).
thf(f2604,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_12
| ~ spl0_96
| ~ spl0_98 ),
inference(forward_subsumption_resolution,[],[f2594,f97]) ).
thf(f2605,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_12
| ~ spl0_96
| ~ spl0_98 ),
inference(avatar_contradiction_clause,[],[f2604]) ).
thf(f2653,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f204,f72]) ).
thf(f2654,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f2653]) ).
thf(f2983,definition,
( spl0_101
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).
thf(f2984,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( z = X0 ) )
| ~ spl0_101 ),
inference(avatar_component_clause,[],[f2983]) ).
thf(f2987,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( z = X0 ) )
| ~ spl0_2
| ~ spl0_101 ),
inference(constrained_superposition,[],[f2984,f65]) ).
thf(f2988,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( z = X0 )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_2
| ~ spl0_101 ),
inference(trivial_inequality_removal,[],[f2987]) ).
thf(f3036,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_65
| ~ spl0_89 ),
inference(constrained_superposition,[],[f2066,f1037]) ).
thf(f3048,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_65
| ~ spl0_89 ),
inference(trivial_inequality_removal,[],[f3036]) ).
thf(f3053,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_12
| ~ spl0_65
| ~ spl0_89 ),
inference(constrained_superposition,[],[f3048,f2264]) ).
thf(f3060,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_12
| ~ spl0_65
| ~ spl0_89 ),
inference(trivial_inequality_removal,[],[f3053]) ).
thf(f3063,plain,
( ! [X0: $i] :
( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_12
| ~ spl0_26
| ~ spl0_65
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[],[f3060,f327]) ).
thf(f3065,plain,
( spl0_96
| ~ spl0_2
| ~ spl0_4
| ~ spl0_12
| ~ spl0_26
| ~ spl0_65
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f3063,f2065,f1036,f326,f186,f96,f64,f2105]) ).
thf(f3083,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_76 ),
inference(constrained_superposition,[],[f1185,f74]) ).
thf(f3091,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( z = X0 )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f3083]) ).
thf(f3107,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ X0 )
= z )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true != $true ) )
| ~ spl0_2
| ~ spl0_49 ),
inference(constrained_superposition,[],[f630,f65]) ).
thf(f3108,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= z ) )
| ~ spl0_2
| ~ spl0_49 ),
inference(duplicate_literal_removal,[],[f3107]) ).
thf(f3109,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= z )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_2
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f3108]) ).
thf(f3322,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_76 ),
inference(constrained_superposition,[],[f3091,f73]) ).
thf(f3325,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f3322]) ).
thf(f3356,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_26
| ~ spl0_47
| ~ spl0_98 ),
inference(constrained_superposition,[],[f2428,f577]) ).
thf(f3363,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
!= $true ) )
| ~ spl0_47 ),
inference(constrained_superposition,[],[f28,f577]) ).
thf(f3368,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_26
| ~ spl0_47
| ~ spl0_98 ),
inference(trivial_inequality_removal,[],[f3356]) ).
thf(f3371,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_47 ),
inference(trivial_inequality_removal,[],[f3363]) ).
thf(f3375,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_47 ),
inference(constrained_superposition,[],[f3371,f577]) ).
thf(f3386,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_47 ),
inference(duplicate_literal_removal,[],[f3375]) ).
thf(f3387,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_47 ),
inference(trivial_inequality_removal,[],[f3386]) ).
thf(f3404,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ ( s @ X0 ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_47
| ~ spl0_94 ),
inference(constrained_superposition,[],[f3387,f2310]) ).
thf(f3405,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ ( s @ X0 ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_47
| ~ spl0_94 ),
inference(trivial_inequality_removal,[],[f3404]) ).
thf(f3409,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( ( s @ ( s @ X0 ) )
= ( s @ z ) ) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_26
| ~ spl0_47
| ~ spl0_94 ),
inference(forward_subsumption_resolution,[],[f3405,f327]) ).
thf(f3413,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( s @ ( s @ X0 ) )
= ( s @ z ) ) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_26
| ~ spl0_47
| ~ spl0_94 ),
inference(forward_subsumption_resolution,[],[f3409,f27]) ).
thf(f3436,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( z = X0 )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_58 ),
inference(constrained_superposition,[],[f753,f74]) ).
thf(f3440,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( z = X0 ) )
| ~ spl0_58 ),
inference(trivial_inequality_removal,[],[f3436]) ).
thf(f3492,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ X0 ) ) )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ( ( s @ ( s @ X0 ) )
= ( s @ z ) )
| ( ( s @ ( s @ X0 ) )
= ( s @ z ) ) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_26
| ~ spl0_47
| ~ spl0_94
| ~ spl0_98 ),
inference(constrained_superposition,[],[f2429,f3413]) ).
thf(f3495,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( ( s @ ( s @ X0 ) )
= ( s @ z ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_26
| ~ spl0_47
| ~ spl0_94
| ~ spl0_98 ),
inference(duplicate_literal_removal,[],[f3492]) ).
thf(f3496,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ X0 ) ) )
| ( ( s @ ( s @ X0 ) )
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_26
| ~ spl0_47
| ~ spl0_94
| ~ spl0_98 ),
inference(trivial_inequality_removal,[],[f3495]) ).
thf(f3503,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ X0 ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_26
| ~ spl0_47
| ~ spl0_94
| ~ spl0_98 ),
inference(forward_subsumption_resolution,[],[f3496,f97]) ).
thf(f3506,plain,
( ! [X0: $i] :
( ( s @ ( s @ X0 ) )
= ( s @ z ) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_26
| ~ spl0_47
| ~ spl0_94
| ~ spl0_98 ),
inference(forward_subsumption_resolution,[],[f3503,f27]) ).
thf(f3663,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ X0 )
= z ) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_26
| ~ spl0_47
| ~ spl0_76
| ~ spl0_94
| ~ spl0_98 ),
inference(constrained_superposition,[],[f3325,f3506]) ).
thf(f3723,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ X0 )
= z ) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_26
| ~ spl0_47
| ~ spl0_76
| ~ spl0_94
| ~ spl0_98 ),
inference(forward_subsumption_resolution,[],[f3663,f31]) ).
thf(f3770,plain,
( ! [X0: $i] :
( ( s @ X0 )
= z )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_26
| spl0_28
| ~ spl0_47
| ~ spl0_76
| ~ spl0_94
| ~ spl0_98 ),
inference(forward_subsumption_resolution,[],[f3723,f1849]) ).
thf(f3782,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_26
| spl0_28
| ~ spl0_47
| ~ spl0_76
| ~ spl0_94
| ~ spl0_98 ),
inference(forward_subsumption_resolution,[],[f3770,f27]) ).
thf(f3783,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_26
| spl0_28
| ~ spl0_47
| ~ spl0_76
| ~ spl0_94
| ~ spl0_98 ),
inference(avatar_contradiction_clause,[],[f3782]) ).
thf(f4022,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_2
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f3109,f27]) ).
thf(f4023,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( $true != $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_2
| ~ spl0_49
| ~ spl0_98 ),
inference(constrained_superposition,[],[f2398,f4022]) ).
thf(f4026,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ X0 ) ) )
= ( s @ z ) ) )
| ~ spl0_2
| ~ spl0_47
| ~ spl0_49 ),
inference(constrained_superposition,[],[f3387,f4022]) ).
thf(f4031,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ X0 ) ) )
= ( s @ z ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_2
| ~ spl0_47
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f4026]) ).
thf(f4032,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_2
| ~ spl0_49
| ~ spl0_98 ),
inference(trivial_inequality_removal,[],[f4023]) ).
thf(f4033,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ X0 ) ) )
= ( s @ z ) ) )
| ~ spl0_2
| ~ spl0_26
| ~ spl0_47
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f4031,f327]) ).
thf(f4044,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ ( s @ ( s @ X0 ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ( ( s @ ( s @ ( s @ X0 ) ) )
= ( s @ z ) ) )
| ~ spl0_2
| ~ spl0_26
| ~ spl0_47
| ~ spl0_49
| ~ spl0_98 ),
inference(constrained_superposition,[],[f4032,f4033]) ).
thf(f4050,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ X0 ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_2
| ~ spl0_26
| ~ spl0_47
| ~ spl0_49
| ~ spl0_98 ),
inference(duplicate_literal_removal,[],[f4044]) ).
thf(f4051,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ X0 ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_2
| ~ spl0_26
| ~ spl0_47
| ~ spl0_49
| ~ spl0_98 ),
inference(trivial_inequality_removal,[],[f4050]) ).
thf(f4054,plain,
( ! [X0: $i] :
( ( s @ ( s @ ( s @ X0 ) ) )
= ( s @ z ) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_26
| ~ spl0_47
| ~ spl0_49
| ~ spl0_98 ),
inference(forward_subsumption_resolution,[],[f4051,f97]) ).
thf(f4121,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ( ( s @ X0 )
= z ) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_26
| ~ spl0_47
| ~ spl0_49
| ~ spl0_98
| ~ spl0_101 ),
inference(constrained_superposition,[],[f2984,f4054]) ).
thf(f4228,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( ( s @ X0 )
= z ) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_26
| ~ spl0_47
| ~ spl0_49
| ~ spl0_98
| ~ spl0_101 ),
inference(forward_subsumption_resolution,[],[f4121,f31]) ).
thf(f4255,plain,
( ! [X0: $i] :
( ( s @ X0 )
= z )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_26
| ~ spl0_47
| ~ spl0_49
| ~ spl0_98
| ~ spl0_101 ),
inference(forward_subsumption_resolution,[],[f4228,f97]) ).
thf(f4271,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_26
| ~ spl0_47
| ~ spl0_49
| ~ spl0_98
| ~ spl0_101 ),
inference(forward_subsumption_resolution,[],[f4255,f27]) ).
thf(f4272,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_26
| ~ spl0_47
| ~ spl0_49
| ~ spl0_98
| ~ spl0_101 ),
inference(avatar_contradiction_clause,[],[f4271]) ).
thf(f4293,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ( z = X0 )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_2
| ~ spl0_101 ),
inference(constrained_superposition,[],[f71,f2988]) ).
thf(f4299,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( z = X0 )
| ( $true != $true ) )
| ~ spl0_2
| ~ spl0_101 ),
inference(duplicate_literal_removal,[],[f4293]) ).
thf(f4300,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ( z = X0 ) )
| ~ spl0_2
| ~ spl0_101 ),
inference(trivial_inequality_removal,[],[f4299]) ).
thf(f4302,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( z = X0 ) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_101 ),
inference(forward_subsumption_resolution,[],[f4300,f97]) ).
thf(f4305,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( s @ X0 )
= z )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_47
| ~ spl0_101 ),
inference(constrained_superposition,[],[f3387,f4302]) ).
thf(f4309,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= z )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_47
| ~ spl0_101 ),
inference(trivial_inequality_removal,[],[f4305]) ).
thf(f4311,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( s @ X0 )
= z ) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_26
| ~ spl0_47
| ~ spl0_101 ),
inference(forward_subsumption_resolution,[],[f4309,f327]) ).
thf(f4312,plain,
( ! [X0: $i] :
( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_26
| ~ spl0_47
| ~ spl0_101 ),
inference(forward_subsumption_resolution,[],[f4311,f27]) ).
thf(f4313,plain,
( spl0_96
| ~ spl0_2
| ~ spl0_4
| ~ spl0_26
| ~ spl0_47
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f4312,f2983,f576,f326,f96,f64,f2105]) ).
thf(f4358,plain,
( spl0_62
| ~ spl0_26
| ~ spl0_47
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f3368,f2397,f576,f326,f934]) ).
thf(f4627,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_58 ),
inference(constrained_superposition,[],[f3440,f72]) ).
thf(f4631,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( z = X0 ) )
| ~ spl0_58 ),
inference(trivial_inequality_removal,[],[f4627]) ).
thf(f4639,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( z = X0 )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_58 ),
inference(constrained_superposition,[],[f28,f4631]) ).
thf(f4643,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( z = X0 )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X2 )
!= $true ) )
| ~ spl0_58 ),
inference(trivial_inequality_removal,[],[f4639]) ).
thf(f4647,definition,
( spl0_107
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).
thf(f4648,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( z = X0 ) )
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f4647]) ).
thf(f4649,plain,
( spl0_89
| spl0_107
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f4643,f752,f4647,f2065]) ).
thf(f4651,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( z = X0 )
| ( $true != $true ) )
| ~ spl0_4
| ~ spl0_107 ),
inference(constrained_superposition,[],[f145,f4648]) ).
thf(f4653,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( z = X0 ) )
| ~ spl0_107 ),
inference(constrained_superposition,[],[f28,f4648]) ).
thf(f4655,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( z = X0 ) )
| ~ spl0_4
| ~ spl0_107 ),
inference(trivial_inequality_removal,[],[f4651]) ).
thf(f4657,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( z = X0 )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ X2 )
!= $true ) )
| ~ spl0_107 ),
inference(trivial_inequality_removal,[],[f4653]) ).
thf(f4658,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z = X0 )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_107 ),
inference(constrained_superposition,[],[f4655,f65]) ).
thf(f4659,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( z = X0 ) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_107 ),
inference(trivial_inequality_removal,[],[f4658]) ).
thf(f5063,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true != $true )
| ( z = X0 )
| ( z = X0 )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_107 ),
inference(constrained_superposition,[],[f4657,f4659]) ).
thf(f5066,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( z = X0 )
| ( ( r @ z @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_107 ),
inference(duplicate_literal_removal,[],[f5063]) ).
thf(f5067,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( r @ z @ X1 )
!= $true )
| ( z = X0 ) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_107 ),
inference(trivial_inequality_removal,[],[f5066]) ).
thf(f5072,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( z = X0 ) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_107 ),
inference(constrained_superposition,[],[f5067,f4648]) ).
thf(f5075,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z = X0 )
| ( $true
!= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_107 ),
inference(duplicate_literal_removal,[],[f5072]) ).
thf(f5076,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( z = X0 ) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_107 ),
inference(trivial_inequality_removal,[],[f5075]) ).
thf(f5080,plain,
( ! [X0: $i] : ( z = X0 )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_107 ),
inference(forward_subsumption_resolution,[],[f5076,f104]) ).
thf(f5148,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_107 ),
inference(constrained_superposition,[],[f73,f5080]) ).
thf(f5395,plain,
( ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_107 ),
inference(forward_subsumption_resolution,[],[f5148,f31]) ).
thf(f5419,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_107 ),
inference(forward_subsumption_resolution,[],[f5395,f25]) ).
thf(f5420,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_107 ),
inference(avatar_contradiction_clause,[],[f5419]) ).
thf(f5656,plain,
( ( ( s @ ( s @ z ) )
!= ( s @ z ) )
| spl0_37 ),
inference(avatar_component_clause,[],[f411]) ).
thf(f5700,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_37 ),
inference(extensionality_resolution,[],[f74,f5656]) ).
thf(f5701,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_37 ),
inference(extensionality_resolution,[],[f74,f5656]) ).
thf(f5707,definition,
( spl0_112
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).
thf(f5708,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_112 ),
inference(avatar_component_clause,[],[f5707]) ).
thf(f5710,definition,
( spl0_113
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).
thf(f5711,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_113 ),
inference(avatar_component_clause,[],[f5710]) ).
thf(f5712,plain,
( spl0_112
| spl0_113
| spl0_37 ),
inference(avatar_split_clause,[],[f5701,f411,f5710,f5707]) ).
thf(f5714,definition,
( spl0_114
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).
thf(f5715,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_114 ),
inference(avatar_component_clause,[],[f5714]) ).
thf(f5717,definition,
( spl0_115
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).
thf(f5718,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_115 ),
inference(avatar_component_clause,[],[f5717]) ).
thf(f5719,plain,
( spl0_114
| spl0_115
| spl0_37 ),
inference(avatar_split_clause,[],[f5700,f411,f5717,f5714]) ).
thf(f5722,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_20
| ~ spl0_112 ),
inference(constrained_superposition,[],[f306,f5708]) ).
thf(f5726,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ X0 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_3
| ~ spl0_112 ),
inference(constrained_superposition,[],[f94,f5708]) ).
thf(f5727,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_112 ),
inference(constrained_superposition,[],[f298,f5708]) ).
thf(f5728,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_30
| ~ spl0_112 ),
inference(constrained_superposition,[],[f342,f5708]) ).
thf(f5729,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_41
| ~ spl0_112 ),
inference(constrained_superposition,[],[f506,f5708]) ).
thf(f5740,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_41
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f5729]) ).
thf(f5741,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_3
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f5726]) ).
thf(f5748,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_20
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f5722]) ).
thf(f5752,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f5727]) ).
thf(f5754,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_30
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f5728]) ).
thf(f5761,definition,
( spl0_116
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).
thf(f5762,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_116 ),
inference(avatar_component_clause,[],[f5761]) ).
thf(f5764,definition,
( spl0_117
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).
thf(f5765,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| spl0_117 ),
inference(avatar_component_clause,[],[f5764]) ).
thf(f5767,definition,
( spl0_118
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).
thf(f5768,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_118 ),
inference(avatar_component_clause,[],[f5767]) ).
thf(f5769,plain,
( spl0_116
| ~ spl0_117
| ~ spl0_118
| ~ spl0_41
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f5740,f5707,f505,f5767,f5764,f5761]) ).
thf(f5771,definition,
( spl0_119
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).
thf(f5772,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_119 ),
inference(avatar_component_clause,[],[f5771]) ).
thf(f5774,definition,
( spl0_120
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).
thf(f5775,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_120 ),
inference(avatar_component_clause,[],[f5774]) ).
thf(f5776,plain,
( ~ spl0_119
| spl0_120
| spl0_53
| ~ spl0_3
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f5741,f5707,f93,f728,f5774,f5771]) ).
thf(f5778,definition,
( spl0_121
<=> ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).
thf(f5779,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_121 ),
inference(avatar_component_clause,[],[f5778]) ).
thf(f5781,definition,
( spl0_122
<=> ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).
thf(f5782,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_122 ),
inference(avatar_component_clause,[],[f5781]) ).
thf(f5784,definition,
( spl0_123
<=> ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).
thf(f5785,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_123 ),
inference(avatar_component_clause,[],[f5784]) ).
thf(f5788,definition,
( spl0_124
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).
thf(f5789,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_124 ),
inference(avatar_component_clause,[],[f5788]) ).
thf(f5791,definition,
( spl0_125
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).
thf(f5792,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_125 ),
inference(avatar_component_clause,[],[f5791]) ).
thf(f5794,definition,
( spl0_126
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).
thf(f5795,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| spl0_126 ),
inference(avatar_component_clause,[],[f5794]) ).
thf(f5797,definition,
( spl0_127
<=> ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).
thf(f5798,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_127 ),
inference(avatar_component_clause,[],[f5797]) ).
thf(f5801,definition,
( spl0_128
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
thf(f5802,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| spl0_128 ),
inference(avatar_component_clause,[],[f5801]) ).
thf(f5804,definition,
( spl0_129
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).
thf(f5805,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_129 ),
inference(avatar_component_clause,[],[f5804]) ).
thf(f5809,definition,
( spl0_130
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).
thf(f5810,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_130 ),
inference(avatar_component_clause,[],[f5809]) ).
thf(f5812,definition,
( spl0_131
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).
thf(f5813,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f5812]) ).
thf(f5816,definition,
( spl0_132
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).
thf(f5817,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_132 ),
inference(avatar_component_clause,[],[f5816]) ).
thf(f5820,definition,
( spl0_133
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).
thf(f5821,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_133 ),
inference(avatar_component_clause,[],[f5820]) ).
thf(f5822,plain,
( spl0_133
| ~ spl0_128
| spl0_124
| ~ spl0_20
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f5748,f5707,f305,f5788,f5801,f5820]) ).
thf(f5824,definition,
( spl0_134
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
thf(f5825,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f5824]) ).
thf(f5827,definition,
( spl0_135
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X0 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).
thf(f5828,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_135 ),
inference(avatar_component_clause,[],[f5827]) ).
thf(f5831,definition,
( spl0_136
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).
thf(f5832,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_136 ),
inference(avatar_component_clause,[],[f5831]) ).
thf(f5835,definition,
( spl0_137
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).
thf(f5836,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_137 ),
inference(avatar_component_clause,[],[f5835]) ).
thf(f5837,plain,
( spl0_137
| spl0_116
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f5752,f5707,f5761,f5835]) ).
thf(f5839,definition,
( spl0_138
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).
thf(f5840,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_138 ),
inference(avatar_component_clause,[],[f5839]) ).
thf(f5842,definition,
( spl0_139
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).
thf(f5843,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_139 ),
inference(avatar_component_clause,[],[f5842]) ).
thf(f5846,definition,
( spl0_140
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).
thf(f5847,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_140 ),
inference(avatar_component_clause,[],[f5846]) ).
thf(f5848,plain,
( spl0_116
| spl0_140
| ~ spl0_117
| ~ spl0_30
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f5754,f5707,f341,f5764,f5846,f5761]) ).
thf(f5851,definition,
( spl0_141
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).
thf(f5852,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_141 ),
inference(avatar_component_clause,[],[f5851]) ).
thf(f5856,definition,
( spl0_142
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).
thf(f5857,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_142 ),
inference(avatar_component_clause,[],[f5856]) ).
thf(f5860,definition,
( spl0_143
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).
thf(f5861,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_143 ),
inference(avatar_component_clause,[],[f5860]) ).
thf(f5872,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| spl0_119 ),
inference(constrained_superposition,[],[f5772,f35]) ).
thf(f5874,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| spl0_119 ),
inference(trivial_inequality_removal,[],[f5872]) ).
thf(f5876,plain,
( spl0_134
| spl0_119 ),
inference(avatar_split_clause,[],[f5874,f5771,f5824]) ).
thf(f5878,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| spl0_127 ),
inference(constrained_superposition,[],[f5798,f34]) ).
thf(f5881,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_127 ),
inference(trivial_inequality_removal,[],[f5878]) ).
thf(f5883,plain,
( spl0_121
| spl0_127 ),
inference(avatar_split_clause,[],[f5881,f5797,f5778]) ).
thf(f5891,definition,
( spl0_144
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).
thf(f5892,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_144 ),
inference(avatar_component_clause,[],[f5891]) ).
thf(f5894,definition,
( spl0_145
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).
thf(f5895,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_145 ),
inference(avatar_component_clause,[],[f5894]) ).
thf(f5907,definition,
( spl0_146
<=> ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).
thf(f5908,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_146 ),
inference(avatar_component_clause,[],[f5907]) ).
thf(f5914,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_26
| ~ spl0_98
| ~ spl0_124 ),
inference(constrained_superposition,[],[f2428,f5789]) ).
thf(f5917,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_124 ),
inference(constrained_superposition,[],[f28,f5789]) ).
thf(f5919,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_26
| ~ spl0_98
| ~ spl0_124 ),
inference(trivial_inequality_removal,[],[f5914]) ).
thf(f5920,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_124 ),
inference(trivial_inequality_removal,[],[f5917]) ).
thf(f5923,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_2
| ~ spl0_26
| ~ spl0_98
| ~ spl0_124 ),
inference(constrained_superposition,[],[f5919,f65]) ).
thf(f5924,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_26
| ~ spl0_98
| ~ spl0_124 ),
inference(trivial_inequality_removal,[],[f5923]) ).
thf(f5942,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_2
| ~ spl0_131 ),
inference(constrained_superposition,[],[f71,f5813]) ).
thf(f5947,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_2
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f5942]) ).
thf(f5949,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_131 ),
inference(forward_subsumption_resolution,[],[f5947,f97]) ).
thf(f5950,plain,
( spl0_121
| ~ spl0_2
| ~ spl0_4
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f5949,f5812,f96,f64,f5778]) ).
thf(f5951,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_98
| ~ spl0_121 ),
inference(constrained_superposition,[],[f2398,f5779]) ).
thf(f5953,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_98
| ~ spl0_121 ),
inference(trivial_inequality_removal,[],[f5951]) ).
thf(f5968,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_26
| ~ spl0_98
| ~ spl0_116 ),
inference(constrained_superposition,[],[f2428,f5762]) ).
thf(f5975,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_26
| ~ spl0_98
| ~ spl0_116 ),
inference(trivial_inequality_removal,[],[f5968]) ).
thf(f5980,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_125 ),
inference(constrained_superposition,[],[f5792,f26]) ).
thf(f5984,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_125 ),
inference(trivial_inequality_removal,[],[f5980]) ).
thf(f6028,definition,
( spl0_147
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).
thf(f6029,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_147 ),
inference(avatar_component_clause,[],[f6028]) ).
thf(f6031,definition,
( spl0_148
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).
thf(f6032,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_148 ),
inference(avatar_component_clause,[],[f6031]) ).
thf(f6036,definition,
( spl0_149
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).
thf(f6037,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_149 ),
inference(avatar_component_clause,[],[f6036]) ).
thf(f6039,definition,
( spl0_150
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).
thf(f6040,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_150 ),
inference(avatar_component_clause,[],[f6039]) ).
thf(f6043,definition,
( spl0_151
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).
thf(f6044,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_151 ),
inference(avatar_component_clause,[],[f6043]) ).
thf(f6050,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_150 ),
inference(constrained_superposition,[],[f28,f6040]) ).
thf(f6053,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_150 ),
inference(trivial_inequality_removal,[],[f6050]) ).
thf(f6056,plain,
( spl0_89
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f6053,f6039,f2065]) ).
thf(f6057,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_98
| ~ spl0_121
| ~ spl0_131 ),
inference(constrained_superposition,[],[f5953,f5813]) ).
thf(f6060,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_98
| ~ spl0_121
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f6057]) ).
thf(f6061,plain,
( $false
| ~ spl0_4
| ~ spl0_98
| ~ spl0_121
| ~ spl0_131 ),
inference(forward_subsumption_resolution,[],[f6060,f97]) ).
thf(f6062,plain,
( ~ spl0_4
| ~ spl0_98
| ~ spl0_121
| ~ spl0_131 ),
inference(avatar_contradiction_clause,[],[f6061]) ).
thf(f6063,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| spl0_117 ),
inference(constrained_superposition,[],[f5765,f72]) ).
thf(f6068,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| spl0_117 ),
inference(trivial_inequality_removal,[],[f6063]) ).
thf(f6070,definition,
( spl0_152
<=> ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).
thf(f6071,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_152 ),
inference(avatar_component_clause,[],[f6070]) ).
thf(f6074,plain,
( spl0_53
| spl0_117 ),
inference(avatar_split_clause,[],[f6068,f5764,f728]) ).
thf(f6076,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_57 ),
inference(constrained_superposition,[],[f749,f263]) ).
thf(f6088,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_57 ),
inference(trivial_inequality_removal,[],[f6076]) ).
thf(f6090,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_124 ),
inference(constrained_superposition,[],[f5920,f5789]) ).
thf(f6092,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_124 ),
inference(trivial_inequality_removal,[],[f6090]) ).
thf(f6100,definition,
( spl0_153
<=> ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).
thf(f6101,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_153 ),
inference(avatar_component_clause,[],[f6100]) ).
thf(f6103,definition,
( spl0_154
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).
thf(f6104,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_154 ),
inference(avatar_component_clause,[],[f6103]) ).
thf(f6107,definition,
( spl0_155
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).
thf(f6108,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_155 ),
inference(avatar_component_clause,[],[f6107]) ).
thf(f6110,plain,
( spl0_153
| ~ spl0_2
| ~ spl0_26
| ~ spl0_98
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f5924,f5788,f2397,f326,f64,f6100]) ).
thf(f6111,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_98
| ~ spl0_153 ),
inference(constrained_superposition,[],[f2398,f6101]) ).
thf(f6112,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_124
| ~ spl0_153 ),
inference(constrained_superposition,[],[f6092,f6101]) ).
thf(f6114,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_98
| ~ spl0_153 ),
inference(trivial_inequality_removal,[],[f6111]) ).
thf(f6116,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_124
| ~ spl0_153 ),
inference(trivial_inequality_removal,[],[f6112]) ).
thf(f6117,plain,
( $false
| ~ spl0_26
| ~ spl0_124
| ~ spl0_153 ),
inference(forward_subsumption_resolution,[],[f6116,f327]) ).
thf(f6118,plain,
( ~ spl0_26
| ~ spl0_124
| ~ spl0_153 ),
inference(avatar_contradiction_clause,[],[f6117]) ).
thf(f6120,definition,
( spl0_156
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).
thf(f6121,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_156 ),
inference(avatar_component_clause,[],[f6120]) ).
thf(f6123,definition,
( spl0_157
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).
thf(f6124,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_157 ),
inference(avatar_component_clause,[],[f6123]) ).
thf(f6126,plain,
( spl0_124
| ~ spl0_32
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f6088,f748,f348,f5788]) ).
thf(f6128,definition,
( spl0_158
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).
thf(f6129,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_158 ),
inference(avatar_component_clause,[],[f6128]) ).
thf(f6132,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_4
| ~ spl0_53 ),
inference(constrained_superposition,[],[f145,f729]) ).
thf(f6134,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_53 ),
inference(constrained_superposition,[],[f28,f729]) ).
thf(f6135,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_53 ),
inference(trivial_inequality_removal,[],[f6134]) ).
thf(f6137,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_4
| ~ spl0_53 ),
inference(trivial_inequality_removal,[],[f6132]) ).
thf(f6163,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_139 ),
inference(constrained_superposition,[],[f28,f5843]) ).
thf(f6166,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_139 ),
inference(trivial_inequality_removal,[],[f6163]) ).
thf(f6169,plain,
( spl0_89
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f6166,f5842,f2065]) ).
thf(f6171,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_126 ),
inference(constrained_superposition,[],[f5795,f26]) ).
thf(f6172,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| spl0_126 ),
inference(trivial_inequality_removal,[],[f6171]) ).
thf(f6174,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| spl0_126 ),
inference(forward_subsumption_resolution,[],[f6172,f27]) ).
thf(f6177,plain,
( $false
| ~ spl0_4
| ~ spl0_53
| spl0_126 ),
inference(forward_subsumption_resolution,[],[f6174,f6137]) ).
thf(f6178,plain,
( ~ spl0_4
| ~ spl0_53
| spl0_126 ),
inference(avatar_contradiction_clause,[],[f6177]) ).
thf(f6180,definition,
( spl0_159
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).
thf(f6181,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_159 ),
inference(avatar_component_clause,[],[f6180]) ).
thf(f6214,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_144 ),
inference(constrained_superposition,[],[f73,f5892]) ).
thf(f6326,plain,
( ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_144 ),
inference(forward_subsumption_resolution,[],[f6214,f31]) ).
thf(f6353,plain,
( $false
| ~ spl0_144 ),
inference(forward_subsumption_resolution,[],[f6326,f25]) ).
thf(f6354,plain,
~ spl0_144,
inference(avatar_contradiction_clause,[],[f6353]) ).
thf(f6364,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_2
| ~ spl0_26
| ~ spl0_98
| ~ spl0_116 ),
inference(constrained_superposition,[],[f5975,f65]) ).
thf(f6365,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_26
| ~ spl0_98
| ~ spl0_116 ),
inference(trivial_inequality_removal,[],[f6364]) ).
thf(f6386,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_48
| ~ spl0_113 ),
inference(constrained_superposition,[],[f595,f5711]) ).
thf(f6387,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_113 ),
inference(constrained_superposition,[],[f71,f5711]) ).
thf(f6388,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_113 ),
inference(constrained_superposition,[],[f28,f5711]) ).
thf(f6389,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_113 ),
inference(trivial_inequality_removal,[],[f6388]) ).
thf(f6392,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_48
| ~ spl0_113 ),
inference(trivial_inequality_removal,[],[f6386]) ).
thf(f6393,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_2
| ~ spl0_113 ),
inference(trivial_inequality_removal,[],[f6387]) ).
thf(f6395,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_142 ),
inference(constrained_superposition,[],[f5857,f72]) ).
thf(f6405,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_142 ),
inference(trivial_inequality_removal,[],[f6395]) ).
thf(f6408,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_53 ),
inference(constrained_superposition,[],[f6135,f729]) ).
thf(f6410,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_53 ),
inference(trivial_inequality_removal,[],[f6408]) ).
thf(f6414,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_53
| ~ spl0_153 ),
inference(constrained_superposition,[],[f6410,f6101]) ).
thf(f6415,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_53
| ~ spl0_153 ),
inference(trivial_inequality_removal,[],[f6414]) ).
thf(f6416,plain,
( $false
| ~ spl0_6
| ~ spl0_53
| ~ spl0_153 ),
inference(forward_subsumption_resolution,[],[f6415,f104]) ).
thf(f6417,plain,
( ~ spl0_6
| ~ spl0_53
| ~ spl0_153 ),
inference(avatar_contradiction_clause,[],[f6416]) ).
thf(f6418,plain,
( spl0_53
| ~ spl0_33
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f6405,f5856,f351,f728]) ).
thf(f6422,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_113 ),
inference(constrained_superposition,[],[f6389,f5711]) ).
thf(f6424,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_113 ),
inference(trivial_inequality_removal,[],[f6422]) ).
thf(f6428,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_113
| ~ spl0_121 ),
inference(constrained_superposition,[],[f6424,f5779]) ).
thf(f6430,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_113
| ~ spl0_121 ),
inference(trivial_inequality_removal,[],[f6428]) ).
thf(f6431,plain,
( $false
| ~ spl0_113
| ~ spl0_121
| ~ spl0_153 ),
inference(forward_subsumption_resolution,[],[f6430,f6101]) ).
thf(f6432,plain,
( ~ spl0_113
| ~ spl0_121
| ~ spl0_153 ),
inference(avatar_contradiction_clause,[],[f6431]) ).
thf(f6433,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| spl0_157 ),
inference(avatar_component_clause,[],[f6123]) ).
thf(f6434,plain,
( spl0_121
| ~ spl0_157
| ~ spl0_2
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f6393,f5710,f64,f6123,f5778]) ).
thf(f6436,definition,
( spl0_161
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).
thf(f6437,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_161 ),
inference(avatar_component_clause,[],[f6436]) ).
thf(f6439,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| spl0_53 ),
inference(avatar_component_clause,[],[f728]) ).
thf(f6440,plain,
( ~ spl0_53
| spl0_121
| ~ spl0_48
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f6392,f5710,f594,f5778,f728]) ).
thf(f6441,plain,
( spl0_121
| ~ spl0_2
| ~ spl0_26
| ~ spl0_98
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f6365,f5761,f2397,f326,f64,f5778]) ).
thf(f6448,plain,
( spl0_116
| spl0_145
| spl0_125 ),
inference(avatar_split_clause,[],[f5984,f5791,f5894,f5761]) ).
thf(f6449,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_2
| spl0_157 ),
inference(constrained_superposition,[],[f6433,f65]) ).
thf(f6450,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_2
| spl0_157 ),
inference(trivial_inequality_removal,[],[f6449]) ).
thf(f6457,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_98
| ~ spl0_115
| ~ spl0_153 ),
inference(constrained_superposition,[],[f6114,f5718]) ).
thf(f6461,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_98
| ~ spl0_115
| ~ spl0_153 ),
inference(trivial_inequality_removal,[],[f6457]) ).
thf(f6466,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_98
| ~ spl0_115
| ~ spl0_153 ),
inference(constrained_superposition,[],[f6461,f65]) ).
thf(f6467,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_98
| ~ spl0_115
| ~ spl0_153 ),
inference(trivial_inequality_removal,[],[f6466]) ).
thf(f6468,plain,
( spl0_121
| ~ spl0_2
| ~ spl0_98
| ~ spl0_115
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f6467,f6100,f5717,f2397,f64,f5778]) ).
thf(f6481,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_17
| ~ spl0_114 ),
inference(constrained_superposition,[],[f2654,f5715]) ).
thf(f6486,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_41
| ~ spl0_114 ),
inference(constrained_superposition,[],[f506,f5715]) ).
thf(f6492,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_114 ),
inference(constrained_superposition,[],[f88,f5715]) ).
thf(f6493,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_114 ),
inference(constrained_superposition,[],[f54,f5715]) ).
thf(f6499,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f6493]) ).
thf(f6502,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f6492]) ).
thf(f6507,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_17
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f6481]) ).
thf(f6512,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_41
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f6486]) ).
thf(f6518,definition,
( spl0_162
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).
thf(f6519,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_162 ),
inference(avatar_component_clause,[],[f6518]) ).
thf(f6521,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_114
| spl0_157 ),
inference(forward_subsumption_resolution,[],[f6499,f6433]) ).
thf(f6526,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| spl0_53
| ~ spl0_114 ),
inference(forward_subsumption_resolution,[],[f6502,f6439]) ).
thf(f6532,definition,
( spl0_164
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).
thf(f6533,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_164 ),
inference(avatar_component_clause,[],[f6532]) ).
thf(f6534,plain,
( ~ spl0_164
| spl0_143
| ~ spl0_117
| ~ spl0_17
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f6507,f5714,f203,f5764,f5860,f6532]) ).
thf(f6536,plain,
( ~ spl0_128
| spl0_124
| ~ spl0_125
| ~ spl0_41
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f6512,f5714,f505,f5791,f5788,f5801]) ).
thf(f6539,plain,
( spl0_156
| ~ spl0_114
| spl0_157 ),
inference(avatar_split_clause,[],[f6521,f6123,f5714,f6120]) ).
thf(f6540,plain,
( spl0_151
| spl0_53
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f6526,f5714,f728,f6043]) ).
thf(f6541,plain,
( spl0_153
| ~ spl0_2
| spl0_157 ),
inference(avatar_split_clause,[],[f6450,f6123,f64,f6100]) ).
thf(f6556,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_98
| ~ spl0_121 ),
inference(constrained_superposition,[],[f2398,f5779]) ).
thf(f6558,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_98
| ~ spl0_121 ),
inference(trivial_inequality_removal,[],[f6556]) ).
thf(f6589,definition,
( spl0_165
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).
thf(f6590,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_165 ),
inference(avatar_component_clause,[],[f6589]) ).
thf(f6592,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_2
| ~ spl0_115 ),
inference(constrained_superposition,[],[f68,f5718]) ).
thf(f6593,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_48
| ~ spl0_115 ),
inference(constrained_superposition,[],[f595,f5718]) ).
thf(f6594,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_2
| ~ spl0_115 ),
inference(constrained_superposition,[],[f71,f5718]) ).
thf(f6596,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_48
| ~ spl0_115 ),
inference(trivial_inequality_removal,[],[f6593]) ).
thf(f6597,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_2
| ~ spl0_115 ),
inference(trivial_inequality_removal,[],[f6592]) ).
thf(f6599,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_115 ),
inference(trivial_inequality_removal,[],[f6594]) ).
thf(f6600,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_143 ),
inference(avatar_component_clause,[],[f5860]) ).
thf(f6601,plain,
( ~ spl0_143
| spl0_153
| ~ spl0_48
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f6596,f5717,f594,f6100,f5860]) ).
thf(f6604,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_98
| ~ spl0_113
| ~ spl0_121 ),
inference(constrained_superposition,[],[f6558,f5711]) ).
thf(f6607,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_98
| ~ spl0_113
| ~ spl0_121 ),
inference(trivial_inequality_removal,[],[f6604]) ).
thf(f6608,plain,
( $false
| ~ spl0_98
| ~ spl0_113
| ~ spl0_121
| ~ spl0_157 ),
inference(forward_subsumption_resolution,[],[f6607,f6124]) ).
thf(f6609,plain,
( ~ spl0_98
| ~ spl0_113
| ~ spl0_121
| ~ spl0_157 ),
inference(avatar_contradiction_clause,[],[f6608]) ).
thf(f6610,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| spl0_134 ),
inference(avatar_component_clause,[],[f5824]) ).
thf(f6611,plain,
( spl0_153
| ~ spl0_134
| ~ spl0_2
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f6599,f5717,f64,f5824,f6100]) ).
thf(f6613,plain,
( spl0_165
| spl0_121
| ~ spl0_2
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f6597,f5717,f64,f5778,f6589]) ).
thf(f6628,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| spl0_122 ),
inference(constrained_superposition,[],[f5782,f34]) ).
thf(f6631,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_122 ),
inference(trivial_inequality_removal,[],[f6628]) ).
thf(f6633,plain,
( spl0_153
| spl0_122 ),
inference(avatar_split_clause,[],[f6631,f5781,f6100]) ).
thf(f6634,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| spl0_126 ),
inference(constrained_superposition,[],[f5795,f35]) ).
thf(f6636,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| spl0_126 ),
inference(trivial_inequality_removal,[],[f6634]) ).
thf(f6638,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_2
| spl0_134 ),
inference(constrained_superposition,[],[f6610,f65]) ).
thf(f6639,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_2
| spl0_134 ),
inference(trivial_inequality_removal,[],[f6638]) ).
thf(f6640,plain,
( spl0_121
| ~ spl0_2
| spl0_134 ),
inference(avatar_split_clause,[],[f6639,f5824,f64,f5778]) ).
thf(f6647,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_164 ),
inference(constrained_superposition,[],[f6533,f26]) ).
thf(f6650,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_164 ),
inference(trivial_inequality_removal,[],[f6647]) ).
thf(f6653,plain,
( spl0_152
| spl0_148
| spl0_164 ),
inference(avatar_split_clause,[],[f6650,f6532,f6031,f6070]) ).
thf(f6654,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_4
| ~ spl0_148 ),
inference(constrained_superposition,[],[f141,f6032]) ).
thf(f6657,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_2
| ~ spl0_148 ),
inference(constrained_superposition,[],[f71,f6032]) ).
thf(f6659,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_148 ),
inference(trivial_inequality_removal,[],[f6657]) ).
thf(f6662,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_4
| ~ spl0_148 ),
inference(trivial_inequality_removal,[],[f6654]) ).
thf(f6664,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_148 ),
inference(forward_subsumption_resolution,[],[f6659,f97]) ).
thf(f6666,definition,
( spl0_166
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).
thf(f6667,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_166 ),
inference(avatar_component_clause,[],[f6666]) ).
thf(f6669,plain,
( spl0_166
| ~ spl0_4
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f6662,f6031,f96,f6666]) ).
thf(f6670,plain,
( spl0_153
| ~ spl0_2
| ~ spl0_4
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f6664,f6031,f96,f64,f6100]) ).
thf(f6671,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_98
| ~ spl0_153 ),
inference(constrained_superposition,[],[f2398,f6101]) ).
thf(f6674,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_98
| ~ spl0_153 ),
inference(trivial_inequality_removal,[],[f6671]) ).
thf(f6685,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_136 ),
inference(constrained_superposition,[],[f5832,f26]) ).
thf(f6687,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_136 ),
inference(trivial_inequality_removal,[],[f6685]) ).
thf(f6690,plain,
( spl0_144
| spl0_131
| spl0_136 ),
inference(avatar_split_clause,[],[f6687,f5831,f5812,f5891]) ).
thf(f6693,plain,
( spl0_157
| spl0_126 ),
inference(avatar_split_clause,[],[f6636,f5794,f6123]) ).
thf(f6697,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_49
| ~ spl0_134 ),
inference(constrained_superposition,[],[f630,f5825]) ).
thf(f6700,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_49
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f6697]) ).
thf(f6702,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_49
| ~ spl0_134 ),
inference(forward_subsumption_resolution,[],[f6700,f27]) ).
thf(f6703,plain,
( spl0_121
| spl0_144
| ~ spl0_49
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f6702,f5824,f629,f5891,f5778]) ).
thf(f6707,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_53 ),
inference(constrained_superposition,[],[f28,f729]) ).
thf(f6710,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_53 ),
inference(trivial_inequality_removal,[],[f6707]) ).
thf(f6742,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_36
| ~ spl0_116 ),
inference(constrained_superposition,[],[f400,f5762]) ).
thf(f6744,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_36
| ~ spl0_116 ),
inference(trivial_inequality_removal,[],[f6742]) ).
thf(f6746,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_98
| ~ spl0_148
| ~ spl0_153 ),
inference(constrained_superposition,[],[f6674,f6032]) ).
thf(f6749,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_98
| ~ spl0_148
| ~ spl0_153 ),
inference(trivial_inequality_removal,[],[f6746]) ).
thf(f6750,plain,
( $false
| ~ spl0_4
| ~ spl0_98
| ~ spl0_148
| ~ spl0_153 ),
inference(forward_subsumption_resolution,[],[f6749,f97]) ).
thf(f6751,plain,
( ~ spl0_4
| ~ spl0_98
| ~ spl0_148
| ~ spl0_153 ),
inference(avatar_contradiction_clause,[],[f6750]) ).
thf(f6752,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_21
| ~ spl0_112 ),
inference(constrained_superposition,[],[f310,f5708]) ).
thf(f6759,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_112 ),
inference(constrained_superposition,[],[f1169,f5708]) ).
thf(f6761,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_112 ),
inference(constrained_superposition,[],[f249,f5708]) ).
thf(f6764,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) )
| ~ spl0_112 ),
inference(constrained_superposition,[],[f54,f5708]) ).
thf(f6765,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_112 ),
inference(constrained_superposition,[],[f47,f5708]) ).
thf(f6767,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_112 ),
inference(constrained_superposition,[],[f29,f5708]) ).
thf(f6769,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f6761]) ).
thf(f6772,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f6765]) ).
thf(f6774,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f6759]) ).
thf(f6775,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) )
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f6764]) ).
thf(f6778,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f6767]) ).
thf(f6783,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_21
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f6752]) ).
thf(f6786,plain,
( spl0_139
| spl0_142
| ~ spl0_118
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f6774,f5707,f5767,f5856,f5842]) ).
thf(f6789,plain,
( ~ spl0_119
| spl0_124
| spl0_120
| ~ spl0_21
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f6783,f5707,f309,f5774,f5788,f5771]) ).
thf(f6836,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_112
| ~ spl0_142 ),
inference(constrained_superposition,[],[f5857,f5708]) ).
thf(f6844,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_112
| ~ spl0_142 ),
inference(trivial_inequality_removal,[],[f6836]) ).
thf(f6854,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_159 ),
inference(constrained_superposition,[],[f6181,f35]) ).
thf(f6863,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_159 ),
inference(trivial_inequality_removal,[],[f6854]) ).
thf(f6864,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| spl0_134
| ~ spl0_159 ),
inference(forward_subsumption_resolution,[],[f6863,f6610]) ).
thf(f6865,plain,
( ~ spl0_14
| spl0_134
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f6864,f6180,f5824,f192]) ).
thf(f6867,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_115
| ~ spl0_166 ),
inference(constrained_superposition,[],[f6667,f5718]) ).
thf(f6868,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_98
| ~ spl0_115
| ~ spl0_153 ),
inference(constrained_superposition,[],[f6674,f5718]) ).
thf(f6871,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_115 ),
inference(constrained_superposition,[],[f28,f5718]) ).
thf(f6872,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_98
| ~ spl0_115
| ~ spl0_153 ),
inference(trivial_inequality_removal,[],[f6868]) ).
thf(f6874,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_115 ),
inference(trivial_inequality_removal,[],[f6871]) ).
thf(f6877,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_115
| ~ spl0_166 ),
inference(trivial_inequality_removal,[],[f6867]) ).
thf(f6881,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ X0 )
= $true ) )
| ~ spl0_34 ),
inference(constrained_superposition,[],[f383,f26]) ).
thf(f6883,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ ( s @ z ) @ X0 )
= $true ) )
| ~ spl0_34 ),
inference(trivial_inequality_removal,[],[f6881]) ).
thf(f6887,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_162 ),
inference(constrained_superposition,[],[f6519,f72]) ).
thf(f6894,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_162 ),
inference(trivial_inequality_removal,[],[f6887]) ).
thf(f6898,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_143
| ~ spl0_162 ),
inference(forward_subsumption_resolution,[],[f6894,f6600]) ).
thf(f6899,plain,
( ~ spl0_33
| spl0_143
| ~ spl0_162 ),
inference(avatar_split_clause,[],[f6898,f6518,f5860,f351]) ).
thf(f6913,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_121
| ~ spl0_165 ),
inference(constrained_superposition,[],[f6590,f5779]) ).
thf(f6914,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_121
| ~ spl0_165 ),
inference(trivial_inequality_removal,[],[f6913]) ).
thf(f6915,plain,
( $false
| ~ spl0_121
| ~ spl0_153
| ~ spl0_165 ),
inference(forward_subsumption_resolution,[],[f6914,f6101]) ).
thf(f6916,plain,
( ~ spl0_121
| ~ spl0_153
| ~ spl0_165 ),
inference(avatar_contradiction_clause,[],[f6915]) ).
thf(f6921,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_112
| ~ spl0_155 ),
inference(constrained_superposition,[],[f6108,f5708]) ).
thf(f6928,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_112
| ~ spl0_155 ),
inference(trivial_inequality_removal,[],[f6921]) ).
thf(f6932,plain,
( ~ spl0_122
| ~ spl0_126
| ~ spl0_112
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f6928,f6107,f5707,f5794,f5781]) ).
thf(f6938,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_53 ),
inference(constrained_superposition,[],[f6710,f729]) ).
thf(f6940,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_53 ),
inference(trivial_inequality_removal,[],[f6938]) ).
thf(f6956,definition,
( spl0_167
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).
thf(f6957,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_167 ),
inference(avatar_component_clause,[],[f6956]) ).
thf(f6973,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_22 ),
inference(constrained_superposition,[],[f28,f313]) ).
thf(f6975,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f6973]) ).
thf(f6976,plain,
( spl0_89
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f6975,f312,f2065]) ).
thf(f7030,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| spl0_167 ),
inference(constrained_superposition,[],[f6957,f26]) ).
thf(f7034,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| spl0_167 ),
inference(trivial_inequality_removal,[],[f7030]) ).
thf(f7058,plain,
( spl0_146
| spl0_150
| spl0_167 ),
inference(avatar_split_clause,[],[f7034,f6956,f6039,f5907]) ).
thf(f7061,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_89
| ~ spl0_150 ),
inference(constrained_superposition,[],[f2066,f6040]) ).
thf(f7068,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_89
| ~ spl0_150 ),
inference(trivial_inequality_removal,[],[f7061]) ).
thf(f7075,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_89
| ~ spl0_115
| ~ spl0_150 ),
inference(constrained_superposition,[],[f7068,f5718]) ).
thf(f7077,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_89
| ~ spl0_150
| ~ spl0_153 ),
inference(constrained_superposition,[],[f7068,f6101]) ).
thf(f7078,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_89
| ~ spl0_150
| ~ spl0_153 ),
inference(trivial_inequality_removal,[],[f7077]) ).
thf(f7080,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_89
| ~ spl0_115
| ~ spl0_150 ),
inference(trivial_inequality_removal,[],[f7075]) ).
thf(f7081,plain,
( $false
| ~ spl0_26
| ~ spl0_89
| ~ spl0_150
| ~ spl0_153 ),
inference(forward_subsumption_resolution,[],[f7078,f327]) ).
thf(f7082,plain,
( ~ spl0_26
| ~ spl0_89
| ~ spl0_150
| ~ spl0_153 ),
inference(avatar_contradiction_clause,[],[f7081]) ).
thf(f7083,plain,
( $false
| ~ spl0_89
| ~ spl0_115
| ~ spl0_116
| ~ spl0_150 ),
inference(forward_subsumption_resolution,[],[f7080,f5762]) ).
thf(f7084,plain,
( ~ spl0_89
| ~ spl0_115
| ~ spl0_116
| ~ spl0_150 ),
inference(avatar_contradiction_clause,[],[f7083]) ).
thf(f7085,plain,
( ~ spl0_143
| ~ spl0_115
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f6877,f6666,f5717,f5860]) ).
thf(f7086,plain,
( ~ spl0_143
| ~ spl0_36
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f6744,f5761,f399,f5860]) ).
thf(f7088,plain,
( spl0_166
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f6940,f728,f6666]) ).
thf(f7102,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_89
| ~ spl0_139 ),
inference(constrained_superposition,[],[f2066,f5843]) ).
thf(f7108,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_89
| ~ spl0_139 ),
inference(trivial_inequality_removal,[],[f7102]) ).
thf(f7114,plain,
( spl0_161
| ~ spl0_89
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f7108,f5842,f2065,f6436]) ).
thf(f7120,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_121
| ~ spl0_161 ),
inference(constrained_superposition,[],[f6437,f5779]) ).
thf(f7121,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_121
| ~ spl0_161 ),
inference(trivial_inequality_removal,[],[f7120]) ).
thf(f7123,plain,
( $false
| ~ spl0_26
| ~ spl0_121
| ~ spl0_161 ),
inference(forward_subsumption_resolution,[],[f7121,f327]) ).
thf(f7124,plain,
( ~ spl0_26
| ~ spl0_121
| ~ spl0_161 ),
inference(avatar_contradiction_clause,[],[f7123]) ).
thf(f7125,plain,
( spl0_135
| spl0_134
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f6775,f5707,f5824,f5827]) ).
thf(f7126,plain,
( ~ spl0_134
| ~ spl0_98
| ~ spl0_115
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f6872,f6100,f5717,f2397,f5824]) ).
thf(f7127,plain,
( ~ spl0_125
| ~ spl0_112
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f6844,f5856,f5707,f5791]) ).
thf(f7137,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_4
| ~ spl0_19 ),
inference(constrained_superposition,[],[f145,f303]) ).
thf(f7141,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_4
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f7137]) ).
thf(f7142,plain,
( $false
| ~ spl0_4
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f7141,f313]) ).
thf(f7143,plain,
( ~ spl0_4
| ~ spl0_19
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f7142]) ).
thf(f7145,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_26
| ~ spl0_98
| ~ spl0_116 ),
inference(constrained_superposition,[],[f2428,f5762]) ).
thf(f7150,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_26
| ~ spl0_98
| ~ spl0_116 ),
inference(trivial_inequality_removal,[],[f7145]) ).
thf(f7182,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f62,f26]) ).
thf(f7183,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
!= ( b @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f62,f35]) ).
thf(f7184,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ X0 @ z )
= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( z = X0 ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f7182]) ).
thf(f7185,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f7183]) ).
thf(f7186,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f7185,f34]) ).
thf(f7189,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f7186]) ).
thf(f7258,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_115 ),
inference(constrained_superposition,[],[f6874,f5718]) ).
thf(f7261,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_115 ),
inference(trivial_inequality_removal,[],[f7258]) ).
thf(f7262,plain,
( spl0_165
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f7261,f5717,f6589]) ).
thf(f7263,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_139
| ~ spl0_165 ),
inference(constrained_superposition,[],[f6590,f5843]) ).
thf(f7264,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_139
| ~ spl0_165 ),
inference(trivial_inequality_removal,[],[f7263]) ).
thf(f7271,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_140 ),
inference(constrained_superposition,[],[f5847,f73]) ).
thf(f7278,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_140 ),
inference(trivial_inequality_removal,[],[f7271]) ).
thf(f7279,plain,
( ~ spl0_164
| ~ spl0_33
| spl0_131
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f7278,f5846,f5812,f351,f6532]) ).
thf(f7336,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true ) )
| ~ spl0_156 ),
inference(constrained_superposition,[],[f6121,f263]) ).
thf(f7342,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_156 ),
inference(trivial_inequality_removal,[],[f7336]) ).
thf(f7350,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true ) )
| ~ spl0_141 ),
inference(constrained_superposition,[],[f5852,f34]) ).
thf(f7360,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true ) )
| ~ spl0_141 ),
inference(duplicate_literal_removal,[],[f7350]) ).
thf(f7361,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_141 ),
inference(trivial_inequality_removal,[],[f7360]) ).
thf(f7365,definition,
( spl0_168
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).
thf(f7366,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_168 ),
inference(avatar_component_clause,[],[f7365]) ).
thf(f7367,plain,
( spl0_168
| spl0_121
| ~ spl0_126
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f7361,f5851,f5794,f5778,f7365]) ).
thf(f7383,plain,
( $false
| ~ spl0_63
| ~ spl0_157 ),
inference(forward_subsumption_resolution,[],[f6124,f972]) ).
thf(f7384,plain,
( ~ spl0_63
| ~ spl0_157 ),
inference(avatar_contradiction_clause,[],[f7383]) ).
thf(f7389,plain,
( spl0_57
| spl0_131
| ~ spl0_117
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f6769,f5707,f5764,f5812,f748]) ).
thf(f7391,plain,
( ~ spl0_134
| ~ spl0_26
| ~ spl0_98
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f7150,f5761,f2397,f326,f5824]) ).
thf(f7393,definition,
( spl0_170
<=> ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).
thf(f7394,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_170 ),
inference(avatar_component_clause,[],[f7393]) ).
thf(f7401,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_49
| ~ spl0_157 ),
inference(constrained_superposition,[],[f630,f6124]) ).
thf(f7402,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_157 ),
inference(constrained_superposition,[],[f28,f6124]) ).
thf(f7403,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_49
| ~ spl0_157 ),
inference(trivial_inequality_removal,[],[f7401]) ).
thf(f7404,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_157 ),
inference(trivial_inequality_removal,[],[f7402]) ).
thf(f7405,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_49
| ~ spl0_157 ),
inference(forward_subsumption_resolution,[],[f7403,f27]) ).
thf(f7406,plain,
( spl0_152
| spl0_153
| ~ spl0_49
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f7405,f6123,f629,f6100,f6070]) ).
thf(f7446,plain,
( ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_152 ),
inference(constrained_superposition,[],[f72,f6071]) ).
thf(f7559,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_152 ),
inference(forward_subsumption_resolution,[],[f7446,f25]) ).
thf(f7583,plain,
( $false
| ~ spl0_152 ),
inference(forward_subsumption_resolution,[],[f7559,f31]) ).
thf(f7584,plain,
~ spl0_152,
inference(avatar_contradiction_clause,[],[f7583]) ).
thf(f7591,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_131
| ~ spl0_165 ),
inference(constrained_superposition,[],[f6590,f5813]) ).
thf(f7595,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_131
| ~ spl0_165 ),
inference(trivial_inequality_removal,[],[f7591]) ).
thf(f7622,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_157 ),
inference(constrained_superposition,[],[f7404,f6124]) ).
thf(f7623,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_157 ),
inference(trivial_inequality_removal,[],[f7622]) ).
thf(f7647,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_112
| ~ spl0_137 ),
inference(constrained_superposition,[],[f5836,f5708]) ).
thf(f7660,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_112
| ~ spl0_137 ),
inference(trivial_inequality_removal,[],[f7647]) ).
thf(f7664,definition,
( spl0_171
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).
thf(f7665,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_171 ),
inference(avatar_component_clause,[],[f7664]) ).
thf(f7711,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_154 ),
inference(constrained_superposition,[],[f6104,f72]) ).
thf(f7713,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_154 ),
inference(constrained_superposition,[],[f6104,f35]) ).
thf(f7717,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_154 ),
inference(duplicate_literal_removal,[],[f7713]) ).
thf(f7718,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_154 ),
inference(trivial_inequality_removal,[],[f7717]) ).
thf(f7720,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_154 ),
inference(trivial_inequality_removal,[],[f7711]) ).
thf(f7723,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| spl0_134
| ~ spl0_154 ),
inference(forward_subsumption_resolution,[],[f7718,f6610]) ).
thf(f7724,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| spl0_143
| ~ spl0_154 ),
inference(forward_subsumption_resolution,[],[f7720,f6600]) ).
thf(f7726,definition,
( spl0_173
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).
thf(f7727,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_173 ),
inference(avatar_component_clause,[],[f7726]) ).
thf(f7728,plain,
( spl0_173
| ~ spl0_122
| spl0_134
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f7723,f6103,f5824,f5781,f7726]) ).
thf(f7730,definition,
( spl0_174
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).
thf(f7731,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_174 ),
inference(avatar_component_clause,[],[f7730]) ).
thf(f7732,plain,
( ~ spl0_164
| spl0_174
| spl0_143
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f7724,f6103,f5860,f7730,f6532]) ).
thf(f7734,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_138 ),
inference(constrained_superposition,[],[f5840,f34]) ).
thf(f7740,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_138 ),
inference(trivial_inequality_removal,[],[f7734]) ).
thf(f7748,definition,
( spl0_175
<=> ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).
thf(f7749,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_175 ),
inference(avatar_component_clause,[],[f7748]) ).
thf(f7750,plain,
( spl0_121
| spl0_175
| ~ spl0_122
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f7740,f5839,f5781,f7748,f5778]) ).
thf(f7766,definition,
( spl0_176
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).
thf(f7767,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_176 ),
inference(avatar_component_clause,[],[f7766]) ).
thf(f7784,definition,
( spl0_177
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).
thf(f7785,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_177 ),
inference(avatar_component_clause,[],[f7784]) ).
thf(f7837,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_112 ),
inference(constrained_superposition,[],[f6778,f34]) ).
thf(f7842,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_112 ),
inference(constrained_superposition,[],[f6778,f73]) ).
thf(f7846,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f7837]) ).
thf(f7847,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f7842]) ).
thf(f7851,definition,
( spl0_179
<=> ! [X0: $i,X1: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).
thf(f7852,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_179 ),
inference(avatar_component_clause,[],[f7851]) ).
thf(f7853,plain,
( spl0_121
| spl0_179
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f7846,f5707,f7851,f5778]) ).
thf(f7858,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_112
| ~ spl0_179 ),
inference(constrained_superposition,[],[f7852,f5708]) ).
thf(f7865,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_112
| ~ spl0_179 ),
inference(duplicate_literal_removal,[],[f7858]) ).
thf(f7866,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_112
| ~ spl0_179 ),
inference(trivial_inequality_removal,[],[f7865]) ).
thf(f7870,definition,
( spl0_180
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_180])],[avatar_definition]) ).
thf(f7871,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_180 ),
inference(avatar_component_clause,[],[f7870]) ).
thf(f7872,plain,
( ~ spl0_122
| spl0_180
| ~ spl0_112
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f7866,f7851,f5707,f7870,f5781]) ).
thf(f7918,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_11
| spl0_143 ),
inference(constrained_superposition,[],[f6600,f158]) ).
thf(f7919,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_11
| spl0_53 ),
inference(constrained_superposition,[],[f6439,f158]) ).
thf(f7926,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_11
| spl0_53 ),
inference(trivial_inequality_removal,[],[f7919]) ).
thf(f7931,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_11
| spl0_143 ),
inference(trivial_inequality_removal,[],[f7918]) ).
thf(f7932,plain,
( spl0_153
| ~ spl0_11
| spl0_53 ),
inference(avatar_split_clause,[],[f7926,f728,f157,f6100]) ).
thf(f7933,plain,
( spl0_121
| ~ spl0_11
| spl0_143 ),
inference(avatar_split_clause,[],[f7931,f5860,f157,f5778]) ).
thf(f7938,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_34 ),
inference(constrained_superposition,[],[f6883,f26]) ).
thf(f7942,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_34 ),
inference(duplicate_literal_removal,[],[f7938]) ).
thf(f7943,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_34 ),
inference(trivial_inequality_removal,[],[f7942]) ).
thf(f7949,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( ( r @ z @ X0 )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ z ) @ X0 )
= $true ) )
| ~ spl0_34 ),
inference(constrained_superposition,[],[f7943,f26]) ).
thf(f7950,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( ( r @ z @ X0 )
= $true )
| ( z = X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_34 ),
inference(trivial_inequality_removal,[],[f7949]) ).
thf(f7952,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( z = X0 )
| ( ( r @ X1 @ z )
= $true )
| ( z = X1 )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f7184,f26]) ).
thf(f7953,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ X1 )
!= $true )
| ( z = X1 )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ z )
= $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f7184,f35]) ).
thf(f7954,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( r @ X1 @ z )
= $true )
| ( z = X1 )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ z @ X1 )
!= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f7953]) ).
thf(f7955,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ X1 )
!= $true )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ z )
= $true )
| ( z = X1 ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f7952]) ).
thf(f7983,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_34
| ~ spl0_131
| ~ spl0_165 ),
inference(constrained_superposition,[],[f7595,f7950]) ).
thf(f7987,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_34
| ~ spl0_157 ),
inference(constrained_superposition,[],[f7623,f7950]) ).
thf(f8000,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_34
| ~ spl0_157 ),
inference(trivial_inequality_removal,[],[f7987]) ).
thf(f8004,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_34
| ~ spl0_131
| ~ spl0_165 ),
inference(trivial_inequality_removal,[],[f7983]) ).
thf(f8006,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_34
| spl0_53
| ~ spl0_157 ),
inference(forward_subsumption_resolution,[],[f8000,f6439]) ).
thf(f8007,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_34
| spl0_53
| ~ spl0_131
| ~ spl0_165 ),
inference(forward_subsumption_resolution,[],[f8004,f6439]) ).
thf(f8008,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_34
| spl0_53
| ~ spl0_157 ),
inference(forward_subsumption_resolution,[],[f8006,f27]) ).
thf(f8009,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_34
| spl0_53
| ~ spl0_131
| ~ spl0_165 ),
inference(forward_subsumption_resolution,[],[f8007,f27]) ).
thf(f8010,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_4
| ~ spl0_34
| spl0_53
| ~ spl0_157 ),
inference(forward_subsumption_resolution,[],[f8008,f97]) ).
thf(f8011,plain,
( spl0_153
| spl0_152
| ~ spl0_34
| spl0_53
| ~ spl0_131
| ~ spl0_165 ),
inference(avatar_split_clause,[],[f8009,f6589,f5812,f728,f382,f6070,f6100]) ).
thf(f8012,plain,
( spl0_152
| spl0_153
| ~ spl0_4
| ~ spl0_34
| spl0_53
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f8010,f6123,f728,f382,f96,f6100,f6070]) ).
thf(f8075,plain,
( ! [X0: $i,X1: $i] :
( ( z = X1 )
| ( ( r @ X1 @ z )
= $true )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 )
| ( z = X0 )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ z @ X0 )
= $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f7955,f26]) ).
thf(f8077,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( ( r @ X1 @ z )
= $true )
| ( z = X1 )
| ( ( r @ X0 @ z )
= $true )
| ( ( r @ z @ X0 )
= $true )
| ( $true != $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f8075]) ).
thf(f8078,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( r @ z @ X0 )
= $true )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true )
| ( z = X1 )
| ( ( r @ X1 @ z )
= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f8077]) ).
thf(f8091,definition,
( spl0_183
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_183])],[avatar_definition]) ).
thf(f8092,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_183 ),
inference(avatar_component_clause,[],[f8091]) ).
thf(f8094,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_115
| ~ spl0_183 ),
inference(constrained_superposition,[],[f8092,f5718]) ).
thf(f8099,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_115
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f8094]) ).
thf(f8102,plain,
( $false
| ~ spl0_115
| ~ spl0_116
| ~ spl0_183 ),
inference(forward_subsumption_resolution,[],[f8099,f5762]) ).
thf(f8103,plain,
( ~ spl0_115
| ~ spl0_116
| ~ spl0_183 ),
inference(avatar_contradiction_clause,[],[f8102]) ).
thf(f8155,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
= $true )
| ( ( r @ X1 @ z )
= $true )
| ( X0 = X1 )
| ( $true != $true )
| ( ( r @ z @ X1 )
= $true )
| ( z = X1 )
| ( ( r @ X0 @ X1 )
= $true )
| ( z = X0 ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f8078,f26]) ).
thf(f8168,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
= $true )
| ( X0 = X1 )
| ( z = X0 )
| ( z = X1 )
| ( ( r @ X1 @ z )
= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f8155]) ).
thf(f8211,definition,
( spl0_184
<=> ! [X0: $i] :
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( z = X0 )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ X0 @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_184])],[avatar_definition]) ).
thf(f8212,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ X0 @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( z = X0 ) )
| ~ spl0_184 ),
inference(avatar_component_clause,[],[f8211]) ).
thf(f8213,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_153 ),
inference(avatar_component_clause,[],[f6100]) ).
thf(f8243,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_70
| ~ spl0_139
| ~ spl0_165 ),
inference(constrained_superposition,[],[f7264,f1058]) ).
thf(f8258,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_70
| ~ spl0_139
| ~ spl0_165 ),
inference(trivial_inequality_removal,[],[f8243]) ).
thf(f8263,plain,
( $false
| spl0_53
| ~ spl0_70
| ~ spl0_139
| ~ spl0_165 ),
inference(forward_subsumption_resolution,[],[f8258,f6439]) ).
thf(f8264,plain,
( spl0_53
| ~ spl0_70
| ~ spl0_139
| ~ spl0_165 ),
inference(avatar_contradiction_clause,[],[f8263]) ).
thf(f8265,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_65
| ~ spl0_139
| ~ spl0_165 ),
inference(constrained_superposition,[],[f7264,f1037]) ).
thf(f8279,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_65
| ~ spl0_139
| ~ spl0_165 ),
inference(trivial_inequality_removal,[],[f8265]) ).
thf(f8285,plain,
( $false
| ~ spl0_65
| ~ spl0_131
| ~ spl0_139
| ~ spl0_165 ),
inference(forward_subsumption_resolution,[],[f8279,f7595]) ).
thf(f8286,plain,
( ~ spl0_65
| ~ spl0_131
| ~ spl0_139
| ~ spl0_165 ),
inference(avatar_contradiction_clause,[],[f8285]) ).
thf(f8301,definition,
( spl0_185
<=> ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_185])],[avatar_definition]) ).
thf(f8302,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_185 ),
inference(avatar_component_clause,[],[f8301]) ).
thf(f8342,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_146 ),
inference(constrained_superposition,[],[f263,f5908]) ).
thf(f8494,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_146 ),
inference(forward_subsumption_resolution,[],[f8342,f25]) ).
thf(f8524,plain,
( $false
| ~ spl0_146 ),
inference(forward_subsumption_resolution,[],[f8494,f31]) ).
thf(f8525,plain,
~ spl0_146,
inference(avatar_contradiction_clause,[],[f8524]) ).
thf(f8532,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_112
| ~ spl0_185 ),
inference(constrained_superposition,[],[f5708,f8302]) ).
thf(f8535,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_125
| ~ spl0_185 ),
inference(constrained_superposition,[],[f5792,f8302]) ).
thf(f8537,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_131
| ~ spl0_185 ),
inference(constrained_superposition,[],[f5813,f8302]) ).
thf(f8539,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_133
| ~ spl0_185 ),
inference(constrained_superposition,[],[f5821,f8302]) ).
thf(f8541,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_139
| ~ spl0_185 ),
inference(constrained_superposition,[],[f5843,f8302]) ).
thf(f8543,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_143
| ~ spl0_185 ),
inference(constrained_superposition,[],[f5861,f8302]) ).
thf(f8665,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_133
| ~ spl0_185 ),
inference(duplicate_literal_removal,[],[f8539]) ).
thf(f8670,plain,
( $false
| ~ spl0_112
| ~ spl0_185 ),
inference(forward_subsumption_resolution,[],[f8532,f25]) ).
thf(f8671,plain,
( ~ spl0_112
| ~ spl0_185 ),
inference(avatar_contradiction_clause,[],[f8670]) ).
thf(f8676,plain,
( $false
| spl0_53
| ~ spl0_143
| ~ spl0_185 ),
inference(forward_subsumption_resolution,[],[f8543,f6439]) ).
thf(f8677,plain,
( spl0_53
| ~ spl0_143
| ~ spl0_185 ),
inference(avatar_contradiction_clause,[],[f8676]) ).
thf(f8679,plain,
( spl0_54
| ~ spl0_133
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f8665,f8301,f5820,f731]) ).
thf(f8681,plain,
( spl0_148
| ~ spl0_131
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f8537,f8301,f5812,f6031]) ).
thf(f8685,plain,
( spl0_150
| ~ spl0_139
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f8541,f8301,f5842,f6039]) ).
thf(f8689,plain,
( ~ spl0_118
| spl0_125
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f8535,f8301,f5791,f5767]) ).
thf(f8737,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_114
| ~ spl0_180 ),
inference(constrained_superposition,[],[f7871,f5715]) ).
thf(f8740,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_114
| ~ spl0_123 ),
inference(constrained_superposition,[],[f5785,f5715]) ).
thf(f8747,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_114 ),
inference(constrained_superposition,[],[f249,f5715]) ).
thf(f8754,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_114 ),
inference(constrained_superposition,[],[f29,f5715]) ).
thf(f8764,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f8754]) ).
thf(f8767,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f8747]) ).
thf(f8773,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_114
| ~ spl0_123 ),
inference(trivial_inequality_removal,[],[f8740]) ).
thf(f8778,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_114
| ~ spl0_180 ),
inference(trivial_inequality_removal,[],[f8737]) ).
thf(f8786,plain,
( ~ spl0_128
| spl0_159
| spl0_148
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f8767,f5714,f6031,f6180,f5801]) ).
thf(f8788,plain,
( ~ spl0_127
| ~ spl0_119
| ~ spl0_114
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f8773,f5784,f5714,f5771,f5797]) ).
thf(f8791,plain,
( ~ spl0_127
| ~ spl0_114
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f8778,f7870,f5714,f5797]) ).
thf(f8794,plain,
( spl0_123
| spl0_121
| ~ spl0_122
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f6772,f5707,f5781,f5778,f5784]) ).
thf(f8811,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_173 ),
inference(constrained_superposition,[],[f7727,f263]) ).
thf(f8820,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_173 ),
inference(trivial_inequality_removal,[],[f8811]) ).
thf(f8824,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_114
| ~ spl0_159 ),
inference(constrained_superposition,[],[f6181,f5715]) ).
thf(f8835,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_114
| ~ spl0_159 ),
inference(trivial_inequality_removal,[],[f8824]) ).
thf(f8838,plain,
( ~ spl0_117
| ~ spl0_114
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f8835,f6180,f5714,f5764]) ).
thf(f8845,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_62
| ~ spl0_157 ),
inference(constrained_superposition,[],[f935,f6124]) ).
thf(f8846,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_62
| ~ spl0_157 ),
inference(trivial_inequality_removal,[],[f8845]) ).
thf(f8847,plain,
( spl0_148
| ~ spl0_62
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f8846,f6123,f934,f6031]) ).
thf(f8867,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_112
| ~ spl0_176 ),
inference(constrained_superposition,[],[f7767,f5708]) ).
thf(f8872,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_112
| ~ spl0_176 ),
inference(trivial_inequality_removal,[],[f8867]) ).
thf(f8960,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_114 ),
inference(constrained_superposition,[],[f8764,f34]) ).
thf(f8963,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_112
| ~ spl0_114 ),
inference(constrained_superposition,[],[f8764,f5708]) ).
thf(f8971,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f8960]) ).
thf(f8972,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_112
| ~ spl0_114 ),
inference(duplicate_literal_removal,[],[f8963]) ).
thf(f8973,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_112
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f8972]) ).
thf(f8975,definition,
( spl0_186
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_186])],[avatar_definition]) ).
thf(f8976,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_186 ),
inference(avatar_component_clause,[],[f8975]) ).
thf(f8977,plain,
( spl0_121
| spl0_186
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f8971,f5714,f8975,f5778]) ).
thf(f8979,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_112
| ~ spl0_114 ),
inference(constrained_superposition,[],[f8973,f263]) ).
thf(f8980,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_112
| ~ spl0_114 ),
inference(constrained_superposition,[],[f8973,f72]) ).
thf(f8989,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_112
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f8979]) ).
thf(f8990,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_112
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f8980]) ).
thf(f8994,definition,
( spl0_187
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_187])],[avatar_definition]) ).
thf(f8995,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_187 ),
inference(avatar_component_clause,[],[f8994]) ).
thf(f8996,plain,
( ~ spl0_167
| spl0_124
| spl0_187
| ~ spl0_112
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f8989,f5714,f5707,f8994,f5788,f6956]) ).
thf(f8997,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| spl0_53
| ~ spl0_112
| ~ spl0_114 ),
inference(forward_subsumption_resolution,[],[f8990,f6439]) ).
thf(f8998,plain,
( ~ spl0_164
| spl0_54
| spl0_53
| ~ spl0_112
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f8997,f5714,f5707,f728,f731,f6532]) ).
thf(f9004,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_54 ),
inference(constrained_superposition,[],[f732,f264]) ).
thf(f9008,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f9004]) ).
thf(f9013,plain,
( ~ spl0_32
| spl0_150
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f9008,f731,f6039,f348]) ).
thf(f9015,definition,
( spl0_188
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_188])],[avatar_definition]) ).
thf(f9016,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_188 ),
inference(avatar_component_clause,[],[f9015]) ).
thf(f9017,plain,
( spl0_188
| spl0_131
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f7847,f5707,f5812,f9015]) ).
thf(f9024,definition,
( spl0_190
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_190])],[avatar_definition]) ).
thf(f9025,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_190 ),
inference(avatar_component_clause,[],[f9024]) ).
thf(f9028,definition,
( spl0_191
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_191])],[avatar_definition]) ).
thf(f9029,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_191 ),
inference(avatar_component_clause,[],[f9028]) ).
thf(f9036,definition,
( spl0_192
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_192])],[avatar_definition]) ).
thf(f9037,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_192 ),
inference(avatar_component_clause,[],[f9036]) ).
thf(f9052,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_96
| ~ spl0_157 ),
inference(constrained_superposition,[],[f7623,f2106]) ).
thf(f9058,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_96
| ~ spl0_157 ),
inference(trivial_inequality_removal,[],[f9052]) ).
thf(f9061,plain,
( $false
| ~ spl0_4
| ~ spl0_96
| ~ spl0_157 ),
inference(forward_subsumption_resolution,[],[f9058,f97]) ).
thf(f9062,plain,
( ~ spl0_4
| ~ spl0_96
| ~ spl0_157 ),
inference(avatar_contradiction_clause,[],[f9061]) ).
thf(f9064,plain,
( spl0_116
| ~ spl0_24
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f8820,f7726,f319,f5761]) ).
thf(f9066,plain,
( ~ spl0_125
| spl0_140
| ~ spl0_112
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f7660,f5835,f5707,f5846,f5791]) ).
thf(f9087,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_26
| ~ spl0_36 ),
inference(constrained_superposition,[],[f400,f327]) ).
thf(f9089,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_26
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f9087]) ).
thf(f9093,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| spl0_6 ),
inference(avatar_component_clause,[],[f103]) ).
thf(f9095,definition,
( spl0_193
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_193])],[avatar_definition]) ).
thf(f9096,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ X0 @ z )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 ) )
| ~ spl0_193 ),
inference(avatar_component_clause,[],[f9095]) ).
thf(f9098,plain,
( ~ spl0_6
| ~ spl0_26
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f9089,f399,f326,f103]) ).
thf(f9113,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_114 ),
inference(constrained_superposition,[],[f1024,f5715]) ).
thf(f9114,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_114 ),
inference(constrained_superposition,[],[f1169,f5715]) ).
thf(f9128,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f9113]) ).
thf(f9142,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f9114]) ).
thf(f9147,plain,
( spl0_149
| spl0_150
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f9128,f5714,f6039,f6036]) ).
thf(f9152,plain,
( spl0_162
| spl0_150
| ~ spl0_125
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f9142,f5714,f5791,f6039,f6518]) ).
thf(f9160,definition,
( spl0_195
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_195])],[avatar_definition]) ).
thf(f9161,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_195 ),
inference(avatar_component_clause,[],[f9160]) ).
thf(f9162,plain,
( ~ spl0_24
| spl0_116
| spl0_195
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f7342,f6120,f9160,f5761,f319]) ).
thf(f9168,plain,
( ~ spl0_122
| ~ spl0_117
| ~ spl0_112
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f8872,f7766,f5707,f5764,f5781]) ).
thf(f9204,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_145 ),
inference(constrained_superposition,[],[f263,f5895]) ).
thf(f9320,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_145 ),
inference(forward_subsumption_resolution,[],[f9204,f25]) ).
thf(f9334,plain,
( $false
| ~ spl0_145 ),
inference(forward_subsumption_resolution,[],[f9320,f31]) ).
thf(f9335,plain,
~ spl0_145,
inference(avatar_contradiction_clause,[],[f9334]) ).
thf(f9337,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_4
| ~ spl0_53 ),
inference(constrained_superposition,[],[f145,f729]) ).
thf(f9338,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_53 ),
inference(constrained_superposition,[],[f28,f729]) ).
thf(f9339,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_4
| ~ spl0_53 ),
inference(trivial_inequality_removal,[],[f9337]) ).
thf(f9340,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_53 ),
inference(trivial_inequality_removal,[],[f9338]) ).
thf(f9342,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_4
| ~ spl0_12 ),
inference(constrained_superposition,[],[f141,f187]) ).
thf(f9348,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_4
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f9342]) ).
thf(f9353,plain,
( spl0_48
| ~ spl0_4
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f9348,f186,f96,f594]) ).
thf(f9361,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| spl0_119 ),
inference(constrained_superposition,[],[f5772,f26]) ).
thf(f9363,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_119 ),
inference(trivial_inequality_removal,[],[f9361]) ).
thf(f9366,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_63
| spl0_119 ),
inference(forward_subsumption_resolution,[],[f9363,f972]) ).
thf(f9367,plain,
( $false
| ~ spl0_63
| spl0_119 ),
inference(forward_subsumption_resolution,[],[f9366,f27]) ).
thf(f9368,plain,
( ~ spl0_63
| spl0_119 ),
inference(avatar_contradiction_clause,[],[f9367]) ).
thf(f9371,definition,
( spl0_197
<=> ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z = X0 )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ X0 @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_197])],[avatar_definition]) ).
thf(f9372,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z = X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_197 ),
inference(avatar_component_clause,[],[f9371]) ).
thf(f9374,plain,
( ~ spl0_157
| ~ spl0_4
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f9339,f728,f96,f6123]) ).
thf(f9400,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_26
| ~ spl0_98
| ~ spl0_124 ),
inference(constrained_superposition,[],[f2428,f5789]) ).
thf(f9402,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_26
| ~ spl0_98
| ~ spl0_124 ),
inference(trivial_inequality_removal,[],[f9400]) ).
thf(f9454,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_187 ),
inference(constrained_superposition,[],[f8995,f73]) ).
thf(f9460,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_187 ),
inference(trivial_inequality_removal,[],[f9454]) ).
thf(f9461,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_139
| ~ spl0_165 ),
inference(constrained_superposition,[],[f6590,f5843]) ).
thf(f9465,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_139
| ~ spl0_165 ),
inference(trivial_inequality_removal,[],[f9461]) ).
thf(f9490,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_112
| ~ spl0_192 ),
inference(constrained_superposition,[],[f9037,f5708]) ).
thf(f9494,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_112
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f9490]) ).
thf(f9500,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_53
| ~ spl0_124 ),
inference(constrained_superposition,[],[f9340,f5789]) ).
thf(f9502,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_53
| ~ spl0_124 ),
inference(trivial_inequality_removal,[],[f9500]) ).
thf(f9504,plain,
( spl0_183
| ~ spl0_53
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f9502,f5788,f728,f8091]) ).
thf(f9518,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f204,f72]) ).
thf(f9520,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f9518]) ).
thf(f9570,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_17
| ~ spl0_112 ),
inference(constrained_superposition,[],[f9520,f5708]) ).
thf(f9578,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_17
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f9570]) ).
thf(f9688,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_139
| ~ spl0_165
| ~ spl0_197 ),
inference(constrained_superposition,[],[f9465,f9372]) ).
thf(f9697,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_139
| ~ spl0_165
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f9688]) ).
thf(f9702,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_22
| ~ spl0_139
| ~ spl0_165
| ~ spl0_197 ),
inference(forward_subsumption_resolution,[],[f9697,f2068]) ).
thf(f9706,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| spl0_22
| ~ spl0_139
| ~ spl0_165
| ~ spl0_197 ),
inference(forward_subsumption_resolution,[],[f9702,f27]) ).
thf(f9707,plain,
( spl0_146
| spl0_22
| ~ spl0_139
| ~ spl0_165
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f9706,f9371,f6589,f5842,f312,f5907]) ).
thf(f9708,plain,
( spl0_148
| ~ spl0_33
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f9460,f8994,f351,f6031]) ).
thf(f9710,definition,
( spl0_198
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_198])],[avatar_definition]) ).
thf(f9711,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_198 ),
inference(avatar_component_clause,[],[f9710]) ).
thf(f9713,plain,
( ~ spl0_126
| ~ spl0_117
| ~ spl0_112
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f9494,f9036,f5707,f5764,f5794]) ).
thf(f9718,plain,
( spl0_53
| ~ spl0_128
| ~ spl0_136
| ~ spl0_17
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f9578,f5707,f203,f5831,f5801,f728]) ).
thf(f9719,plain,
( ~ spl0_157
| ~ spl0_26
| ~ spl0_98
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f9402,f5788,f2397,f326,f6123]) ).
thf(f9733,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_89
| ~ spl0_150 ),
inference(constrained_superposition,[],[f2066,f6040]) ).
thf(f9735,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_89
| ~ spl0_150 ),
inference(trivial_inequality_removal,[],[f9733]) ).
thf(f9737,plain,
( spl0_183
| ~ spl0_89
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f9735,f6039,f2065,f8091]) ).
thf(f9750,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_113
| ~ spl0_161 ),
inference(constrained_superposition,[],[f6437,f5711]) ).
thf(f9751,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_113 ),
inference(constrained_superposition,[],[f28,f5711]) ).
thf(f9752,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_113
| ~ spl0_161 ),
inference(trivial_inequality_removal,[],[f9750]) ).
thf(f9753,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_113 ),
inference(trivial_inequality_removal,[],[f9751]) ).
thf(f9754,plain,
( $false
| ~ spl0_113
| ~ spl0_124
| ~ spl0_161 ),
inference(forward_subsumption_resolution,[],[f9752,f5789]) ).
thf(f9755,plain,
( ~ spl0_113
| ~ spl0_124
| ~ spl0_161 ),
inference(avatar_contradiction_clause,[],[f9754]) ).
thf(f9770,plain,
( ( $true != $true )
| ~ spl0_63
| ~ spl0_134 ),
inference(constrained_superposition,[],[f972,f5825]) ).
thf(f9771,plain,
( $false
| ~ spl0_63
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f9770]) ).
thf(f9772,plain,
( ~ spl0_63
| ~ spl0_134 ),
inference(avatar_contradiction_clause,[],[f9771]) ).
thf(f9797,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_115
| ~ spl0_183 ),
inference(constrained_superposition,[],[f8092,f5718]) ).
thf(f9800,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_115
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f9797]) ).
thf(f9807,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_139
| ~ spl0_165 ),
inference(constrained_superposition,[],[f6590,f5843]) ).
thf(f9810,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_139
| ~ spl0_165 ),
inference(trivial_inequality_removal,[],[f9807]) ).
thf(f9813,plain,
( $false
| ~ spl0_139
| ~ spl0_150
| ~ spl0_165 ),
inference(forward_subsumption_resolution,[],[f9810,f6040]) ).
thf(f9814,plain,
( ~ spl0_139
| ~ spl0_150
| ~ spl0_165 ),
inference(avatar_contradiction_clause,[],[f9813]) ).
thf(f9840,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_113 ),
inference(constrained_superposition,[],[f9753,f5711]) ).
thf(f9841,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_113 ),
inference(trivial_inequality_removal,[],[f9840]) ).
thf(f9860,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_186 ),
inference(constrained_superposition,[],[f8976,f264]) ).
thf(f9862,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_186 ),
inference(trivial_inequality_removal,[],[f9860]) ).
thf(f9870,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_156 ),
inference(constrained_superposition,[],[f6121,f72]) ).
thf(f9877,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_156 ),
inference(trivial_inequality_removal,[],[f9870]) ).
thf(f9884,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ z )
= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ X1 @ X2 )
!= $true )
| ( z = X0 ) )
| ~ spl0_197 ),
inference(constrained_superposition,[],[f28,f9372]) ).
thf(f9890,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true ) )
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f9884]) ).
thf(f9896,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ X1 @ X0 )
!= $true )
| ( z = X0 ) )
| ~ spl0_197 ),
inference(forward_subsumption_resolution,[],[f9890,f28]) ).
thf(f9925,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( z = X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_148
| ~ spl0_197 ),
inference(constrained_superposition,[],[f9896,f6032]) ).
thf(f9931,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z = X0 )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_148
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f9925]) ).
thf(f9964,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_42
| ~ spl0_115
| ~ spl0_183 ),
inference(constrained_superposition,[],[f9800,f520]) ).
thf(f9972,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_42
| ~ spl0_115
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f9964]) ).
thf(f9978,plain,
( spl0_121
| ~ spl0_42
| ~ spl0_115
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f9972,f8091,f5717,f519,f5778]) ).
thf(f10009,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_115
| ~ spl0_148
| ~ spl0_197 ),
inference(constrained_superposition,[],[f9931,f5718]) ).
thf(f10014,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_115
| ~ spl0_148
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f10009]) ).
thf(f10017,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_115
| ~ spl0_148
| ~ spl0_197 ),
inference(forward_subsumption_resolution,[],[f10014,f27]) ).
thf(f10018,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_131 ),
inference(avatar_component_clause,[],[f5812]) ).
thf(f10019,plain,
( spl0_185
| ~ spl0_131
| ~ spl0_115
| ~ spl0_148
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f10017,f9371,f6031,f5717,f5812,f8301]) ).
thf(f10053,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_65
| ~ spl0_89 ),
inference(constrained_superposition,[],[f2066,f1037]) ).
thf(f10058,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_65
| ~ spl0_166 ),
inference(constrained_superposition,[],[f6667,f1037]) ).
thf(f10068,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_65
| ~ spl0_166 ),
inference(trivial_inequality_removal,[],[f10058]) ).
thf(f10070,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_65
| ~ spl0_89 ),
inference(trivial_inequality_removal,[],[f10053]) ).
thf(f10093,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_31
| ~ spl0_113
| ~ spl0_161 ),
inference(constrained_superposition,[],[f9752,f346]) ).
thf(f10095,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_31
| ~ spl0_115
| ~ spl0_183 ),
inference(constrained_superposition,[],[f9800,f346]) ).
thf(f10102,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_31
| ~ spl0_115
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f10095]) ).
thf(f10107,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_31
| ~ spl0_113
| ~ spl0_161 ),
inference(trivial_inequality_removal,[],[f10093]) ).
thf(f10109,plain,
( $false
| ~ spl0_31
| ~ spl0_115
| spl0_143
| ~ spl0_183 ),
inference(forward_subsumption_resolution,[],[f10102,f6600]) ).
thf(f10110,plain,
( ~ spl0_31
| ~ spl0_115
| spl0_143
| ~ spl0_183 ),
inference(avatar_contradiction_clause,[],[f10109]) ).
thf(f10112,plain,
( $false
| ~ spl0_31
| spl0_53
| ~ spl0_113
| ~ spl0_161 ),
inference(forward_subsumption_resolution,[],[f10107,f6439]) ).
thf(f10113,plain,
( ~ spl0_31
| spl0_53
| ~ spl0_113
| ~ spl0_161 ),
inference(avatar_contradiction_clause,[],[f10112]) ).
thf(f10118,plain,
( spl0_165
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f9841,f5710,f6589]) ).
thf(f10120,definition,
( spl0_201
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_201])],[avatar_definition]) ).
thf(f10121,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_201 ),
inference(avatar_component_clause,[],[f10120]) ).
thf(f10122,plain,
( spl0_150
| ~ spl0_24
| spl0_201
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f9862,f8975,f10120,f319,f6039]) ).
thf(f10126,plain,
( spl0_148
| ~ spl0_19
| ~ spl0_65
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f10068,f6666,f1036,f302,f6031]) ).
thf(f10144,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_65
| ~ spl0_89
| ~ spl0_153 ),
inference(constrained_superposition,[],[f10070,f6101]) ).
thf(f10147,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_65
| ~ spl0_89
| ~ spl0_153 ),
inference(trivial_inequality_removal,[],[f10144]) ).
thf(f10149,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_26
| ~ spl0_65
| ~ spl0_89
| ~ spl0_153 ),
inference(forward_subsumption_resolution,[],[f10147,f327]) ).
thf(f10150,plain,
( spl0_148
| ~ spl0_26
| ~ spl0_65
| ~ spl0_89
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f10149,f6100,f2065,f1036,f326,f6031]) ).
thf(f10172,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
!= $true ) )
| ~ spl0_76 ),
inference(constrained_superposition,[],[f1185,f74]) ).
thf(f10177,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) )
| ( z = X0 ) )
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f10172]) ).
thf(f10215,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_139
| ~ spl0_165 ),
inference(constrained_superposition,[],[f6590,f5843]) ).
thf(f10219,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_139
| ~ spl0_165 ),
inference(trivial_inequality_removal,[],[f10215]) ).
thf(f10267,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_61
| ~ spl0_143 ),
inference(constrained_superposition,[],[f930,f5861]) ).
thf(f10269,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_143 ),
inference(constrained_superposition,[],[f28,f5861]) ).
thf(f10270,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_143 ),
inference(trivial_inequality_removal,[],[f10269]) ).
thf(f10272,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_61
| ~ spl0_143 ),
inference(trivial_inequality_removal,[],[f10267]) ).
thf(f10275,plain,
( spl0_131
| ~ spl0_61
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f10272,f5860,f929,f5812]) ).
thf(f10276,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_4
| ~ spl0_131 ),
inference(constrained_superposition,[],[f141,f5813]) ).
thf(f10280,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_4
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f10276]) ).
thf(f10289,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_4
| ~ spl0_131
| ~ spl0_139 ),
inference(constrained_superposition,[],[f10280,f5843]) ).
thf(f10290,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_4
| ~ spl0_113
| ~ spl0_131 ),
inference(constrained_superposition,[],[f10280,f5711]) ).
thf(f10293,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_4
| ~ spl0_113
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f10290]) ).
thf(f10295,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_4
| ~ spl0_131
| ~ spl0_139 ),
inference(trivial_inequality_removal,[],[f10289]) ).
thf(f10301,plain,
( ~ spl0_19
| ~ spl0_4
| ~ spl0_131
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f10295,f5842,f5812,f96,f302]) ).
thf(f10302,plain,
( ~ spl0_53
| ~ spl0_4
| ~ spl0_113
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f10293,f5812,f5710,f96,f728]) ).
thf(f10343,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_20
| ~ spl0_114 ),
inference(constrained_superposition,[],[f306,f5715]) ).
thf(f10354,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_114 ),
inference(constrained_superposition,[],[f1169,f5715]) ).
thf(f10361,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_1
| ~ spl0_114 ),
inference(constrained_superposition,[],[f8078,f5715]) ).
thf(f10364,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f10354]) ).
thf(f10368,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_1
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f10361]) ).
thf(f10376,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_20
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f10343]) ).
thf(f10386,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_114
| ~ spl0_139
| ~ spl0_165 ),
inference(forward_subsumption_resolution,[],[f10364,f10219]) ).
thf(f10389,plain,
( ~ spl0_117
| spl0_116
| spl0_133
| ~ spl0_20
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f10376,f5714,f305,f5820,f5761,f5764]) ).
thf(f10392,definition,
( spl0_202
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_202])],[avatar_definition]) ).
thf(f10393,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_202 ),
inference(avatar_component_clause,[],[f10392]) ).
thf(f10397,plain,
( ~ spl0_125
| spl0_162
| ~ spl0_114
| ~ spl0_139
| ~ spl0_165 ),
inference(avatar_split_clause,[],[f10386,f6589,f5842,f5714,f6518,f5791]) ).
thf(f10408,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_114
| ~ spl0_162 ),
inference(constrained_superposition,[],[f6519,f5715]) ).
thf(f10420,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_114
| ~ spl0_162 ),
inference(trivial_inequality_removal,[],[f10408]) ).
thf(f10422,plain,
( ~ spl0_118
| ~ spl0_114
| ~ spl0_162 ),
inference(avatar_split_clause,[],[f10420,f6518,f5714,f5767]) ).
thf(f10520,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_202 ),
inference(constrained_superposition,[],[f10393,f72]) ).
thf(f10531,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_202 ),
inference(trivial_inequality_removal,[],[f10520]) ).
thf(f10533,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_133 ),
inference(constrained_superposition,[],[f5821,f34]) ).
thf(f10540,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_133 ),
inference(trivial_inequality_removal,[],[f10533]) ).
thf(f10545,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_143 ),
inference(constrained_superposition,[],[f10270,f5861]) ).
thf(f10546,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_143 ),
inference(trivial_inequality_removal,[],[f10545]) ).
thf(f10549,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_113
| ~ spl0_143 ),
inference(constrained_superposition,[],[f10546,f5711]) ).
thf(f10551,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_113
| ~ spl0_143 ),
inference(trivial_inequality_removal,[],[f10549]) ).
thf(f10554,plain,
( $false
| ~ spl0_53
| ~ spl0_113
| ~ spl0_143 ),
inference(forward_subsumption_resolution,[],[f10551,f729]) ).
thf(f10555,plain,
( ~ spl0_53
| ~ spl0_113
| ~ spl0_143 ),
inference(avatar_contradiction_clause,[],[f10554]) ).
thf(f10556,plain,
( spl0_121
| ~ spl0_122
| ~ spl0_14
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f10540,f5820,f192,f5781,f5778]) ).
thf(f10560,plain,
( ~ spl0_164
| spl0_143
| ~ spl0_14
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f10531,f10392,f192,f5860,f6532]) ).
thf(f10565,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_1
| ~ spl0_63
| ~ spl0_114 ),
inference(forward_subsumption_resolution,[],[f10368,f972]) ).
thf(f10569,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_1
| ~ spl0_63
| ~ spl0_114 ),
inference(forward_subsumption_resolution,[],[f10565,f27]) ).
thf(f10572,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_1
| ~ spl0_63
| ~ spl0_114 ),
inference(forward_subsumption_resolution,[],[f10569,f27]) ).
thf(f10573,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_1
| ~ spl0_63
| ~ spl0_114 ),
inference(forward_subsumption_resolution,[],[f10572,f972]) ).
thf(f10574,plain,
( spl0_153
| ~ spl0_1
| ~ spl0_63
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f10573,f5714,f971,f61,f6100]) ).
thf(f10603,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_115 ),
inference(constrained_superposition,[],[f28,f5718]) ).
thf(f10605,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_115 ),
inference(trivial_inequality_removal,[],[f10603]) ).
thf(f10617,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( ( b @ X0 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
= $true ) )
| ~ spl0_173 ),
inference(constrained_superposition,[],[f7727,f26]) ).
thf(f10619,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) )
| ~ spl0_173 ),
inference(trivial_inequality_removal,[],[f10617]) ).
thf(f10624,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_13 ),
inference(constrained_superposition,[],[f190,f26]) ).
thf(f10628,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f10624]) ).
thf(f10674,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_140 ),
inference(constrained_superposition,[],[f5847,f34]) ).
thf(f10680,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_140 ),
inference(trivial_inequality_removal,[],[f10674]) ).
thf(f10703,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_147 ),
inference(constrained_superposition,[],[f6029,f34]) ).
thf(f10706,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_147 ),
inference(constrained_superposition,[],[f6029,f264]) ).
thf(f10707,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_147 ),
inference(constrained_superposition,[],[f6029,f73]) ).
thf(f10708,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_147 ),
inference(trivial_inequality_removal,[],[f10706]) ).
thf(f10709,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_147 ),
inference(trivial_inequality_removal,[],[f10707]) ).
thf(f10713,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_147 ),
inference(trivial_inequality_removal,[],[f10703]) ).
thf(f10732,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_149 ),
inference(constrained_superposition,[],[f6037,f73]) ).
thf(f10733,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_149 ),
inference(trivial_inequality_removal,[],[f10732]) ).
thf(f10756,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( r @ z @ X0 )
= $true )
| ( z = X0 ) )
| ~ spl0_13 ),
inference(constrained_superposition,[],[f10628,f26]) ).
thf(f10757,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( ( r @ z @ X0 )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true ) )
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f10756]) ).
thf(f10759,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( r @ z @ X0 )
= $true )
| ( z = X0 ) )
| ~ spl0_13 ),
inference(constrained_superposition,[],[f10757,f26]) ).
thf(f10761,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( r @ z @ X0 )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_13 ),
inference(duplicate_literal_removal,[],[f10759]) ).
thf(f10762,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 )
| ( ( r @ z @ X0 )
= $true ) )
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f10761]) ).
thf(f10764,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( ( r @ z @ X0 )
= $true ) )
| ~ spl0_13
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f10762,f630]) ).
thf(f10773,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_13
| ~ spl0_49
| ~ spl0_115 ),
inference(constrained_superposition,[],[f10605,f10764]) ).
thf(f10778,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_13
| ~ spl0_49
| ~ spl0_115 ),
inference(trivial_inequality_removal,[],[f10773]) ).
thf(f10782,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_13
| ~ spl0_49
| ~ spl0_115 ),
inference(forward_subsumption_resolution,[],[f10778,f27]) ).
thf(f10785,definition,
( spl0_203
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_203])],[avatar_definition]) ).
thf(f10786,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_203 ),
inference(avatar_component_clause,[],[f10785]) ).
thf(f10787,plain,
( spl0_203
| spl0_121
| spl0_144
| ~ spl0_13
| ~ spl0_49
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f10782,f5717,f629,f189,f5891,f5778,f10785]) ).
thf(f10864,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_166
| ~ spl0_197 ),
inference(constrained_superposition,[],[f6667,f9372]) ).
thf(f10865,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( z = X0 )
| ( ( r @ X0 @ z )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_197 ),
inference(constrained_superposition,[],[f28,f9372]) ).
thf(f10873,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( z = X0 )
| ( ( r @ X0 @ z )
= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true ) )
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f10865]) ).
thf(f10874,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_166
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f10864]) ).
thf(f10876,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z = X0 )
| ( ( r @ X1 @ X0 )
!= $true ) )
| ~ spl0_197 ),
inference(forward_subsumption_resolution,[],[f10873,f28]) ).
thf(f10877,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z = X0 ) )
| ~ spl0_4
| ~ spl0_166
| ~ spl0_197 ),
inference(forward_subsumption_resolution,[],[f10874,f145]) ).
thf(f10878,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( z = X0 ) )
| ~ spl0_76 ),
inference(constrained_superposition,[],[f10177,f73]) ).
thf(f10882,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f10878]) ).
thf(f10912,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( z = X0 ) )
| ~ spl0_26
| ~ spl0_76
| ~ spl0_98 ),
inference(constrained_superposition,[],[f2428,f10882]) ).
thf(f10916,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( z = X0 )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_26
| ~ spl0_76
| ~ spl0_98 ),
inference(trivial_inequality_removal,[],[f10912]) ).
thf(f10919,plain,
( spl0_101
| ~ spl0_26
| ~ spl0_76
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f10916,f2397,f1184,f326,f2983]) ).
thf(f10939,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( z = X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_4
| ~ spl0_197 ),
inference(constrained_superposition,[],[f10876,f97]) ).
thf(f10949,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( z = X0 )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_148
| ~ spl0_197 ),
inference(constrained_superposition,[],[f10876,f6032]) ).
thf(f10962,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( z = X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_4
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f10939]) ).
thf(f10967,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( z = X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_148
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f10949]) ).
thf(f10986,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_121 ),
inference(avatar_component_clause,[],[f5778]) ).
thf(f11011,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( z = X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true != $true )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_148
| ~ spl0_197 ),
inference(constrained_superposition,[],[f10967,f9372]) ).
thf(f11014,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ X0 @ z )
= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( z = X0 )
| ( $true != $true ) )
| ~ spl0_148
| ~ spl0_197 ),
inference(duplicate_literal_removal,[],[f11011]) ).
thf(f11015,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_148
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f11014]) ).
thf(f11021,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( z = X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_4
| ~ spl0_148
| ~ spl0_197 ),
inference(forward_subsumption_resolution,[],[f11015,f10962]) ).
thf(f11028,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_70
| ~ spl0_89 ),
inference(constrained_superposition,[],[f2066,f1058]) ).
thf(f11040,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_70
| ~ spl0_89 ),
inference(trivial_inequality_removal,[],[f11028]) ).
thf(f11140,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_31 ),
inference(constrained_superposition,[],[f28,f346]) ).
thf(f11146,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
!= $true ) )
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f11140]) ).
thf(f11150,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f11146,f28]) ).
thf(f11216,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f7189,f72]) ).
thf(f11218,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f7189,f263]) ).
thf(f11225,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f11218]) ).
thf(f11229,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f11216]) ).
thf(f11336,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_89
| ~ spl0_184 ),
inference(constrained_superposition,[],[f2066,f8212]) ).
thf(f11338,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ ( s @ X0 ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_31
| ~ spl0_184 ),
inference(constrained_superposition,[],[f11150,f8212]) ).
thf(f11345,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_89
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f11336]) ).
thf(f11350,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ X0 ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_31
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f11338]) ).
thf(f11363,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ X0 ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_31
| ~ spl0_63
| ~ spl0_184 ),
inference(forward_subsumption_resolution,[],[f11350,f972]) ).
thf(f11368,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ X0 ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_31
| ~ spl0_63
| ~ spl0_184 ),
inference(forward_subsumption_resolution,[],[f11363,f27]) ).
thf(f11372,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ X0 ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_31
| ~ spl0_63
| ~ spl0_70
| ~ spl0_184 ),
inference(constrained_superposition,[],[f11368,f1058]) ).
thf(f11382,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ X0 ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_31
| ~ spl0_63
| ~ spl0_70
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f11372]) ).
thf(f11391,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ X0 ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_31
| ~ spl0_63
| ~ spl0_70
| spl0_143
| ~ spl0_184 ),
inference(forward_subsumption_resolution,[],[f11382,f6600]) ).
thf(f11398,definition,
( spl0_204
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ X0 ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_204])],[avatar_definition]) ).
thf(f11399,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ X0 ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_204 ),
inference(avatar_component_clause,[],[f11398]) ).
thf(f11409,plain,
( spl0_204
| ~ spl0_31
| ~ spl0_63
| ~ spl0_70
| spl0_143
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f11391,f8211,f5860,f1057,f971,f345,f11398]) ).
thf(f11885,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_119 ),
inference(avatar_component_clause,[],[f5771]) ).
thf(f11939,definition,
( spl0_207
<=> ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_207])],[avatar_definition]) ).
thf(f11940,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_207 ),
inference(avatar_component_clause,[],[f11939]) ).
thf(f12945,definition,
( spl0_210
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_210])],[avatar_definition]) ).
thf(f12946,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_210 ),
inference(avatar_component_clause,[],[f12945]) ).
thf(f13163,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f5794]) ).
thf(f13167,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_66
| ~ spl0_126 ),
inference(constrained_superposition,[],[f1041,f13163]) ).
thf(f13176,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_126
| ~ spl0_173 ),
inference(constrained_superposition,[],[f10619,f13163]) ).
thf(f13179,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true ) )
| ~ spl0_126 ),
inference(constrained_superposition,[],[f29,f13163]) ).
thf(f13194,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X2 @ z )
!= $true ) )
| ~ spl0_126 ),
inference(trivial_inequality_removal,[],[f13179]) ).
thf(f13195,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_66
| ~ spl0_126 ),
inference(trivial_inequality_removal,[],[f13167]) ).
thf(f13196,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_126
| ~ spl0_173 ),
inference(trivial_inequality_removal,[],[f13176]) ).
thf(f13200,definition,
( spl0_216
<=> ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_216])],[avatar_definition]) ).
thf(f13201,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_216 ),
inference(avatar_component_clause,[],[f13200]) ).
thf(f13225,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
!= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_185 ),
inference(avatar_component_clause,[],[f8301]) ).
thf(f13243,definition,
( spl0_219
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_219])],[avatar_definition]) ).
thf(f13244,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_219 ),
inference(avatar_component_clause,[],[f13243]) ).
thf(f13246,definition,
( spl0_220
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_220])],[avatar_definition]) ).
thf(f13247,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_220 ),
inference(avatar_component_clause,[],[f13246]) ).
thf(f13250,definition,
( spl0_221
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_221])],[avatar_definition]) ).
thf(f13251,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_221 ),
inference(avatar_component_clause,[],[f13250]) ).
thf(f13253,definition,
( spl0_222
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_222])],[avatar_definition]) ).
thf(f13254,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_222 ),
inference(avatar_component_clause,[],[f13253]) ).
thf(f13257,definition,
( spl0_223
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_223])],[avatar_definition]) ).
thf(f13258,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_223 ),
inference(avatar_component_clause,[],[f13257]) ).
thf(f13260,definition,
( spl0_224
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_224])],[avatar_definition]) ).
thf(f13261,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_224 ),
inference(avatar_component_clause,[],[f13260]) ).
thf(f13264,definition,
( spl0_225
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_225])],[avatar_definition]) ).
thf(f13265,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_225 ),
inference(avatar_component_clause,[],[f13264]) ).
thf(f13267,definition,
( spl0_226
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_226])],[avatar_definition]) ).
thf(f13268,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_226 ),
inference(avatar_component_clause,[],[f13267]) ).
thf(f13275,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_216 ),
inference(constrained_superposition,[],[f13201,f264]) ).
thf(f13279,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_216 ),
inference(trivial_inequality_removal,[],[f13275]) ).
thf(f13513,definition,
( spl0_227
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_227])],[avatar_definition]) ).
thf(f13514,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_227 ),
inference(avatar_component_clause,[],[f13513]) ).
thf(f13540,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_133
| ~ spl0_224 ),
inference(constrained_superposition,[],[f5821,f13261]) ).
thf(f13541,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_140
| ~ spl0_224 ),
inference(constrained_superposition,[],[f5847,f13261]) ).
thf(f13543,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_149
| ~ spl0_224 ),
inference(constrained_superposition,[],[f6037,f13261]) ).
thf(f13554,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_207
| ~ spl0_224 ),
inference(constrained_superposition,[],[f11940,f13261]) ).
thf(f13567,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_1
| ~ spl0_224 ),
inference(constrained_superposition,[],[f8078,f13261]) ).
thf(f13583,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_149
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f13543]) ).
thf(f13589,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_207
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f13554]) ).
thf(f13601,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_133
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f13540]) ).
thf(f13605,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f13567]) ).
thf(f13606,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_140
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f13541]) ).
thf(f13613,definition,
( spl0_229
<=> ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_229])],[avatar_definition]) ).
thf(f13614,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| spl0_229 ),
inference(avatar_component_clause,[],[f13613]) ).
thf(f13617,definition,
( spl0_230
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_230])],[avatar_definition]) ).
thf(f13618,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_230 ),
inference(avatar_component_clause,[],[f13617]) ).
thf(f13624,definition,
( spl0_232
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_232])],[avatar_definition]) ).
thf(f13625,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_232 ),
inference(avatar_component_clause,[],[f13624]) ).
thf(f13629,definition,
( spl0_233
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_233])],[avatar_definition]) ).
thf(f13630,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| spl0_233 ),
inference(avatar_component_clause,[],[f13629]) ).
thf(f13632,definition,
( spl0_234
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_234])],[avatar_definition]) ).
thf(f13633,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| spl0_234 ),
inference(avatar_component_clause,[],[f13632]) ).
thf(f13636,definition,
( spl0_235
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_235])],[avatar_definition]) ).
thf(f13637,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_235 ),
inference(avatar_component_clause,[],[f13636]) ).
thf(f13641,definition,
( spl0_236
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_236])],[avatar_definition]) ).
thf(f13642,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_236 ),
inference(avatar_component_clause,[],[f13641]) ).
thf(f13644,definition,
( spl0_237
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_237])],[avatar_definition]) ).
thf(f13645,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_237 ),
inference(avatar_component_clause,[],[f13644]) ).
thf(f13646,plain,
( ~ spl0_236
| spl0_237
| ~ spl0_149
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f13583,f13260,f6036,f13644,f13641]) ).
thf(f13649,definition,
( spl0_238
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_238])],[avatar_definition]) ).
thf(f13650,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| spl0_238 ),
inference(avatar_component_clause,[],[f13649]) ).
thf(f13653,definition,
( spl0_239
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_239])],[avatar_definition]) ).
thf(f13654,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| spl0_239 ),
inference(avatar_component_clause,[],[f13653]) ).
thf(f13659,plain,
( ~ spl0_233
| ~ spl0_207
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f13589,f13260,f11939,f13629]) ).
thf(f13671,plain,
( ~ spl0_236
| ~ spl0_238
| ~ spl0_133
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f13601,f13260,f5820,f13649,f13641]) ).
thf(f13675,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_63
| ~ spl0_224 ),
inference(forward_subsumption_resolution,[],[f13605,f972]) ).
thf(f13676,plain,
( ~ spl0_236
| ~ spl0_235
| ~ spl0_140
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f13606,f13260,f5846,f13636,f13641]) ).
thf(f13678,definition,
( spl0_242
<=> ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_242])],[avatar_definition]) ).
thf(f13679,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_242 ),
inference(avatar_component_clause,[],[f13678]) ).
thf(f13689,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_1
| ~ spl0_63
| ~ spl0_224 ),
inference(forward_subsumption_resolution,[],[f13675,f972]) ).
thf(f13694,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_63
| ~ spl0_224 ),
inference(forward_subsumption_resolution,[],[f13689,f27]) ).
thf(f13696,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_63
| spl0_121
| ~ spl0_224 ),
inference(forward_subsumption_resolution,[],[f13694,f10986]) ).
thf(f13697,plain,
( $false
| ~ spl0_1
| ~ spl0_63
| spl0_121
| ~ spl0_224 ),
inference(forward_subsumption_resolution,[],[f13696,f27]) ).
thf(f13698,plain,
( ~ spl0_1
| ~ spl0_63
| spl0_121
| ~ spl0_224 ),
inference(avatar_contradiction_clause,[],[f13697]) ).
thf(f13703,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_161
| ~ spl0_223 ),
inference(constrained_superposition,[],[f6437,f13258]) ).
thf(f13716,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_161
| ~ spl0_223 ),
inference(trivial_inequality_removal,[],[f13703]) ).
thf(f13720,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_31
| ~ spl0_161
| ~ spl0_223 ),
inference(constrained_superposition,[],[f13716,f346]) ).
thf(f13721,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_47
| ~ spl0_161
| ~ spl0_223 ),
inference(constrained_superposition,[],[f13716,f577]) ).
thf(f13722,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_31
| ~ spl0_161
| ~ spl0_223 ),
inference(trivial_inequality_removal,[],[f13720]) ).
thf(f13723,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_47
| ~ spl0_161
| ~ spl0_223 ),
inference(trivial_inequality_removal,[],[f13721]) ).
thf(f13724,plain,
( spl0_232
| ~ spl0_31
| ~ spl0_161
| ~ spl0_223 ),
inference(avatar_split_clause,[],[f13722,f13257,f6436,f345,f13624]) ).
thf(f13725,plain,
( spl0_210
| ~ spl0_47
| ~ spl0_161
| ~ spl0_223 ),
inference(avatar_split_clause,[],[f13723,f13257,f6436,f576,f12945]) ).
thf(f13727,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_4
| ~ spl0_166
| ~ spl0_197
| ~ spl0_232 ),
inference(constrained_superposition,[],[f10877,f13625]) ).
thf(f13735,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_4
| ~ spl0_166
| ~ spl0_197
| ~ spl0_232 ),
inference(trivial_inequality_removal,[],[f13727]) ).
thf(f13736,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_4
| ~ spl0_166
| ~ spl0_197
| ~ spl0_232 ),
inference(forward_subsumption_resolution,[],[f13735,f27]) ).
thf(f13809,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
!= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) )
| ~ spl0_4
| ~ spl0_166
| ~ spl0_197
| ~ spl0_232 ),
inference(constrained_superposition,[],[f30,f13736]) ).
thf(f13877,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_4
| ~ spl0_166
| ~ spl0_197
| ~ spl0_232 ),
inference(equality_resolution,[],[f13809]) ).
thf(f13878,plain,
( spl0_145
| ~ spl0_4
| ~ spl0_166
| ~ spl0_197
| ~ spl0_232 ),
inference(avatar_split_clause,[],[f13877,f13624,f9371,f6666,f96,f5894]) ).
thf(f13880,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_121
| ~ spl0_140 ),
inference(forward_subsumption_resolution,[],[f10680,f10986]) ).
thf(f13884,plain,
( ~ spl0_43
| ~ spl0_122
| spl0_121
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f13880,f5846,f5778,f5781,f522]) ).
thf(f13892,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_4
| ~ spl0_28
| ~ spl0_148
| ~ spl0_197 ),
inference(constrained_superposition,[],[f11021,f335]) ).
thf(f13898,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_4
| ~ spl0_28
| ~ spl0_148
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f13892]) ).
thf(f13902,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_4
| ~ spl0_28
| ~ spl0_148
| ~ spl0_197 ),
inference(forward_subsumption_resolution,[],[f13898,f27]) ).
thf(f13904,plain,
( spl0_146
| ~ spl0_4
| ~ spl0_28
| ~ spl0_148
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f13902,f9371,f6031,f334,f96,f5907]) ).
thf(f13912,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_126
| ~ spl0_173
| spl0_185 ),
inference(forward_subsumption_resolution,[],[f13196,f13225]) ).
thf(f13917,plain,
( spl0_131
| ~ spl0_164
| spl0_191
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f10733,f6036,f9028,f6532,f5812]) ).
thf(f13920,plain,
( ~ spl0_24
| spl0_150
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f13279,f13200,f6039,f319]) ).
thf(f13925,definition,
( spl0_245
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_245])],[avatar_definition]) ).
thf(f13926,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_245 ),
inference(avatar_component_clause,[],[f13925]) ).
thf(f13928,plain,
( spl0_115
| ~ spl0_126
| ~ spl0_173
| spl0_185 ),
inference(avatar_split_clause,[],[f13912,f8301,f7726,f5794,f5717]) ).
thf(f13935,definition,
( spl0_247
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_247])],[avatar_definition]) ).
thf(f13936,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_247 ),
inference(avatar_component_clause,[],[f13935]) ).
thf(f13987,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_4
| ~ spl0_131 ),
inference(constrained_superposition,[],[f141,f5813]) ).
thf(f13988,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_131
| ~ spl0_161 ),
inference(constrained_superposition,[],[f6437,f5813]) ).
thf(f13989,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_70
| ~ spl0_89
| ~ spl0_131 ),
inference(constrained_superposition,[],[f11040,f5813]) ).
thf(f13992,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_4
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f13987]) ).
thf(f13993,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_70
| ~ spl0_89
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f13989]) ).
thf(f13994,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_131
| ~ spl0_161 ),
inference(trivial_inequality_removal,[],[f13988]) ).
thf(f13995,plain,
( spl0_203
| ~ spl0_4
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f13992,f5812,f96,f10785]) ).
thf(f13996,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_70
| ~ spl0_89
| ~ spl0_131
| spl0_143 ),
inference(forward_subsumption_resolution,[],[f13993,f6600]) ).
thf(f13997,plain,
( ~ spl0_28
| ~ spl0_131
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f13994,f6436,f5812,f334]) ).
thf(f13998,plain,
( ~ spl0_28
| ~ spl0_70
| ~ spl0_89
| ~ spl0_131
| spl0_143 ),
inference(avatar_split_clause,[],[f13996,f5860,f5812,f2065,f1057,f334]) ).
thf(f14001,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_150
| ~ spl0_166 ),
inference(constrained_superposition,[],[f6667,f6040]) ).
thf(f14007,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_150
| ~ spl0_166 ),
inference(trivial_inequality_removal,[],[f14001]) ).
thf(f14016,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_83 ),
inference(constrained_superposition,[],[f1733,f73]) ).
thf(f14018,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_83 ),
inference(trivial_inequality_removal,[],[f14016]) ).
thf(f14023,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| spl0_28
| ~ spl0_83 ),
inference(forward_subsumption_resolution,[],[f14018,f1849]) ).
thf(f14024,plain,
( ~ spl0_14
| spl0_28
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f14023,f1732,f334,f192]) ).
thf(f14030,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_36
| ~ spl0_124 ),
inference(constrained_superposition,[],[f400,f5789]) ).
thf(f14032,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_36
| ~ spl0_124 ),
inference(trivial_inequality_removal,[],[f14030]) ).
thf(f14035,plain,
( $false
| ~ spl0_36
| ~ spl0_53
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[],[f14032,f729]) ).
thf(f14036,plain,
( ~ spl0_36
| ~ spl0_53
| ~ spl0_124 ),
inference(avatar_contradiction_clause,[],[f14035]) ).
thf(f14064,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true ) )
| ~ spl0_5
| ~ spl0_112 ),
inference(constrained_superposition,[],[f101,f5708]) ).
thf(f14093,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_1
| ~ spl0_112 ),
inference(constrained_superposition,[],[f8078,f5708]) ).
thf(f14096,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_5
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f14064]) ).
thf(f14122,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_1
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f14093]) ).
thf(f14194,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_114
| ~ spl0_198 ),
inference(constrained_superposition,[],[f9711,f5715]) ).
thf(f14198,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_114
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f14194]) ).
thf(f14204,plain,
( ~ spl0_136
| ~ spl0_114
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f14198,f9710,f5714,f5831]) ).
thf(f14219,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_139
| ~ spl0_203 ),
inference(constrained_superposition,[],[f10786,f5843]) ).
thf(f14221,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_203
| ~ spl0_223 ),
inference(constrained_superposition,[],[f10786,f13258]) ).
thf(f14225,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_203
| ~ spl0_223 ),
inference(trivial_inequality_removal,[],[f14221]) ).
thf(f14227,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_139
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f14219]) ).
thf(f14231,plain,
( $false
| ~ spl0_203
| ~ spl0_223
| ~ spl0_232 ),
inference(forward_subsumption_resolution,[],[f14225,f13625]) ).
thf(f14232,plain,
( ~ spl0_203
| ~ spl0_223
| ~ spl0_232 ),
inference(avatar_contradiction_clause,[],[f14231]) ).
thf(f14240,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_229 ),
inference(constrained_superposition,[],[f13614,f34]) ).
thf(f14243,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_229 ),
inference(trivial_inequality_removal,[],[f14240]) ).
thf(f14245,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_98
| spl0_229 ),
inference(constrained_superposition,[],[f2398,f14243]) ).
thf(f14249,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_98
| spl0_229 ),
inference(trivial_inequality_removal,[],[f14245]) ).
thf(f14253,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_238 ),
inference(constrained_superposition,[],[f13650,f26]) ).
thf(f14256,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_238 ),
inference(trivial_inequality_removal,[],[f14253]) ).
thf(f14260,definition,
( spl0_249
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_249])],[avatar_definition]) ).
thf(f14261,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_249 ),
inference(avatar_component_clause,[],[f14260]) ).
thf(f14262,plain,
( spl0_232
| spl0_249
| spl0_238 ),
inference(avatar_split_clause,[],[f14256,f13649,f14260,f13624]) ).
thf(f14295,definition,
( spl0_250
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_250])],[avatar_definition]) ).
thf(f14296,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_250 ),
inference(avatar_component_clause,[],[f14295]) ).
thf(f14301,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| spl0_239 ),
inference(constrained_superposition,[],[f13654,f73]) ).
thf(f14305,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_239 ),
inference(trivial_inequality_removal,[],[f14301]) ).
thf(f14308,plain,
( spl0_210
| spl0_239 ),
inference(avatar_split_clause,[],[f14305,f13653,f12945]) ).
thf(f14325,definition,
( spl0_251
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_251])],[avatar_definition]) ).
thf(f14326,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_251 ),
inference(avatar_component_clause,[],[f14325]) ).
thf(f14328,definition,
( spl0_252
<=> ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_252])],[avatar_definition]) ).
thf(f14329,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_252 ),
inference(avatar_component_clause,[],[f14328]) ).
thf(f14340,definition,
( spl0_253
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_253])],[avatar_definition]) ).
thf(f14341,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_253 ),
inference(avatar_component_clause,[],[f14340]) ).
thf(f14373,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_98
| ~ spl0_210
| spl0_229 ),
inference(constrained_superposition,[],[f14249,f12946]) ).
thf(f14377,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_98
| ~ spl0_210
| spl0_229 ),
inference(trivial_inequality_removal,[],[f14373]) ).
thf(f14380,plain,
( $false
| ~ spl0_4
| ~ spl0_98
| ~ spl0_210
| spl0_229 ),
inference(forward_subsumption_resolution,[],[f14377,f97]) ).
thf(f14381,plain,
( ~ spl0_4
| ~ spl0_98
| ~ spl0_210
| spl0_229 ),
inference(avatar_contradiction_clause,[],[f14380]) ).
thf(f14425,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_224 ),
inference(constrained_superposition,[],[f47,f13261]) ).
thf(f14442,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f14425]) ).
thf(f14472,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_159
| ~ spl0_226 ),
inference(constrained_superposition,[],[f6181,f13268]) ).
thf(f14478,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_5
| ~ spl0_226 ),
inference(constrained_superposition,[],[f101,f13268]) ).
thf(f14506,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_159
| ~ spl0_226 ),
inference(trivial_inequality_removal,[],[f14472]) ).
thf(f14516,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_5
| ~ spl0_226 ),
inference(trivial_inequality_removal,[],[f14478]) ).
thf(f14519,plain,
( ~ spl0_238
| ~ spl0_159
| ~ spl0_226 ),
inference(avatar_split_clause,[],[f14506,f13267,f6180,f13649]) ).
thf(f14525,definition,
( spl0_256
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_256])],[avatar_definition]) ).
thf(f14526,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_256 ),
inference(avatar_component_clause,[],[f14525]) ).
thf(f14533,definition,
( spl0_258
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_258])],[avatar_definition]) ).
thf(f14534,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_258 ),
inference(avatar_component_clause,[],[f14533]) ).
thf(f14536,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_5
| spl0_143
| ~ spl0_226 ),
inference(forward_subsumption_resolution,[],[f14516,f6600]) ).
thf(f14539,definition,
( spl0_259
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_259])],[avatar_definition]) ).
thf(f14540,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_259 ),
inference(avatar_component_clause,[],[f14539]) ).
thf(f14541,plain,
( spl0_259
| ~ spl0_238
| ~ spl0_5
| spl0_143
| ~ spl0_226 ),
inference(avatar_split_clause,[],[f14536,f13267,f5860,f100,f13649,f14539]) ).
thf(f14547,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| spl0_233 ),
inference(constrained_superposition,[],[f13630,f35]) ).
thf(f14549,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| spl0_233 ),
inference(trivial_inequality_removal,[],[f14547]) ).
thf(f14568,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_235 ),
inference(constrained_superposition,[],[f13637,f263]) ).
thf(f14571,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_235 ),
inference(constrained_superposition,[],[f13637,f26]) ).
thf(f14572,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_235 ),
inference(trivial_inequality_removal,[],[f14568]) ).
thf(f14573,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_235 ),
inference(trivial_inequality_removal,[],[f14571]) ).
thf(f14596,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_62
| ~ spl0_134 ),
inference(constrained_superposition,[],[f935,f5825]) ).
thf(f14599,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_62
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f14596]) ).
thf(f14645,definition,
( spl0_260
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_260])],[avatar_definition]) ).
thf(f14646,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_260 ),
inference(avatar_component_clause,[],[f14645]) ).
thf(f14648,definition,
( spl0_261
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_261])],[avatar_definition]) ).
thf(f14649,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_261 ),
inference(avatar_component_clause,[],[f14648]) ).
thf(f14652,definition,
( spl0_262
<=> ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_262])],[avatar_definition]) ).
thf(f14653,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_262 ),
inference(avatar_component_clause,[],[f14652]) ).
thf(f14659,definition,
( spl0_264
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_264])],[avatar_definition]) ).
thf(f14660,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_264 ),
inference(avatar_component_clause,[],[f14659]) ).
thf(f14662,definition,
( spl0_265
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_265])],[avatar_definition]) ).
thf(f14663,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_265 ),
inference(avatar_component_clause,[],[f14662]) ).
thf(f14666,definition,
( spl0_266
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_266])],[avatar_definition]) ).
thf(f14667,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_266 ),
inference(avatar_component_clause,[],[f14666]) ).
thf(f14680,definition,
( spl0_270
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_270])],[avatar_definition]) ).
thf(f14681,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_270 ),
inference(avatar_component_clause,[],[f14680]) ).
thf(f14691,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_126
| ~ spl0_247 ),
inference(constrained_superposition,[],[f13936,f13163]) ).
thf(f14694,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_126
| ~ spl0_247 ),
inference(trivial_inequality_removal,[],[f14691]) ).
thf(f14706,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_48
| ~ spl0_124 ),
inference(constrained_superposition,[],[f595,f5789]) ).
thf(f14713,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_48
| ~ spl0_124 ),
inference(trivial_inequality_removal,[],[f14706]) ).
thf(f14721,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_48
| ~ spl0_53
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[],[f14713,f729]) ).
thf(f14725,definition,
( spl0_272
<=> ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_272])],[avatar_definition]) ).
thf(f14726,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_272 ),
inference(avatar_component_clause,[],[f14725]) ).
thf(f14727,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| spl0_232 ),
inference(avatar_component_clause,[],[f13624]) ).
thf(f14729,plain,
( $false
| spl0_26
| ~ spl0_48
| ~ spl0_53
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[],[f14721,f991]) ).
thf(f14730,plain,
( spl0_26
| ~ spl0_48
| ~ spl0_53
| ~ spl0_124 ),
inference(avatar_contradiction_clause,[],[f14729]) ).
thf(f14737,plain,
( ~ spl0_19
| ~ spl0_139
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f14227,f10785,f5842,f302]) ).
thf(f14739,plain,
( spl0_124
| ~ spl0_126
| ~ spl0_247 ),
inference(avatar_split_clause,[],[f14694,f13935,f5794,f5788]) ).
thf(f14741,plain,
( ~ spl0_19
| ~ spl0_150
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f14007,f6666,f6039,f302]) ).
thf(f14749,plain,
( spl0_121
| ~ spl0_229
| spl0_242
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f14442,f13260,f13678,f13613,f5778]) ).
thf(f14750,plain,
( spl0_131
| ~ spl0_164
| spl0_190
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f10709,f6028,f9024,f6532,f5812]) ).
thf(f14752,plain,
( spl0_131
| ~ spl0_62
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f14599,f5824,f934,f5812]) ).
thf(f14754,plain,
( spl0_176
| spl0_121
| ~ spl0_122
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f10713,f6028,f5781,f5778,f7766]) ).
thf(f14760,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_1
| ~ spl0_112 ),
inference(forward_subsumption_resolution,[],[f14122,f27]) ).
thf(f14769,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1
| ~ spl0_112
| spl0_157 ),
inference(forward_subsumption_resolution,[],[f14760,f6433]) ).
thf(f14772,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_1
| ~ spl0_112
| spl0_157 ),
inference(forward_subsumption_resolution,[],[f14769,f27]) ).
thf(f14774,plain,
( spl0_134
| spl0_121
| ~ spl0_1
| ~ spl0_112
| spl0_157 ),
inference(avatar_split_clause,[],[f14772,f6123,f5707,f61,f5778,f5824]) ).
thf(f14776,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f28,f104]) ).
thf(f14778,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f14776]) ).
thf(f14779,plain,
( spl0_98
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f14778,f103,f2397]) ).
thf(f14782,definition,
( spl0_277
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_277])],[avatar_definition]) ).
thf(f14783,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_277 ),
inference(avatar_component_clause,[],[f14782]) ).
thf(f14787,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true ) )
| ~ spl0_89
| ~ spl0_184 ),
inference(forward_subsumption_resolution,[],[f11345,f27]) ).
thf(f14789,definition,
( spl0_278
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_278])],[avatar_definition]) ).
thf(f14790,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_278 ),
inference(avatar_component_clause,[],[f14789]) ).
thf(f14791,plain,
( spl0_278
| ~ spl0_167
| spl0_139
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f10708,f6028,f5842,f6956,f14789]) ).
thf(f14792,plain,
( spl0_129
| spl0_53
| ~ spl0_128
| ~ spl0_5
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f14096,f5707,f100,f5801,f728,f5804]) ).
thf(f14799,plain,
( spl0_22
| spl0_161
| spl0_145
| ~ spl0_89
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f14787,f8211,f2065,f5894,f6436,f312]) ).
thf(f14805,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_22
| ~ spl0_89 ),
inference(constrained_superposition,[],[f2066,f313]) ).
thf(f14808,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_22
| ~ spl0_89 ),
inference(trivial_inequality_removal,[],[f14805]) ).
thf(f14813,plain,
( ( $true != $true )
| ~ spl0_63
| spl0_233 ),
inference(constrained_superposition,[],[f972,f14549]) ).
thf(f14814,plain,
( $false
| ~ spl0_63
| spl0_233 ),
inference(trivial_inequality_removal,[],[f14813]) ).
thf(f14815,plain,
( ~ spl0_63
| spl0_233 ),
inference(avatar_contradiction_clause,[],[f14814]) ).
thf(f14823,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_121
| ~ spl0_203 ),
inference(constrained_superposition,[],[f10786,f5779]) ).
thf(f14824,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_121 ),
inference(constrained_superposition,[],[f28,f5779]) ).
thf(f14825,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_121
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f14823]) ).
thf(f14826,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_121 ),
inference(trivial_inequality_removal,[],[f14824]) ).
thf(f14827,plain,
( $false
| ~ spl0_6
| ~ spl0_121
| ~ spl0_203 ),
inference(forward_subsumption_resolution,[],[f14825,f104]) ).
thf(f14828,plain,
( ~ spl0_6
| ~ spl0_121
| ~ spl0_203 ),
inference(avatar_contradiction_clause,[],[f14827]) ).
thf(f14829,plain,
( spl0_98
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f14826,f5778,f2397]) ).
thf(f14841,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_5
| ~ spl0_119 ),
inference(constrained_superposition,[],[f101,f11885]) ).
thf(f14851,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_5
| ~ spl0_119 ),
inference(duplicate_literal_removal,[],[f14841]) ).
thf(f14852,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_5
| ~ spl0_119 ),
inference(trivial_inequality_removal,[],[f14851]) ).
thf(f14893,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_4
| ~ spl0_143 ),
inference(constrained_superposition,[],[f145,f5861]) ).
thf(f14895,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_4
| ~ spl0_143 ),
inference(trivial_inequality_removal,[],[f14893]) ).
thf(f14903,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_83 ),
inference(constrained_superposition,[],[f1733,f263]) ).
thf(f14908,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_83 ),
inference(trivial_inequality_removal,[],[f14903]) ).
thf(f14947,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_180 ),
inference(constrained_superposition,[],[f7871,f264]) ).
thf(f14953,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_180 ),
inference(trivial_inequality_removal,[],[f14947]) ).
thf(f14955,plain,
( ~ spl0_43
| spl0_150
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f14953,f7870,f6039,f522]) ).
thf(f15006,plain,
( ~ spl0_134
| ~ spl0_4
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f14895,f5860,f96,f5824]) ).
thf(f15012,definition,
( spl0_283
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_283])],[avatar_definition]) ).
thf(f15013,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_283 ),
inference(avatar_component_clause,[],[f15012]) ).
thf(f15016,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_22
| ~ spl0_28
| ~ spl0_89 ),
inference(constrained_superposition,[],[f14808,f335]) ).
thf(f15018,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_22
| ~ spl0_28
| ~ spl0_89 ),
inference(trivial_inequality_removal,[],[f15016]) ).
thf(f15021,plain,
( $false
| ~ spl0_4
| ~ spl0_22
| ~ spl0_28
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[],[f15018,f97]) ).
thf(f15022,plain,
( ~ spl0_4
| ~ spl0_22
| ~ spl0_28
| ~ spl0_89 ),
inference(avatar_contradiction_clause,[],[f15021]) ).
thf(f15031,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_98
| ~ spl0_153 ),
inference(constrained_superposition,[],[f2398,f6101]) ).
thf(f15033,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_98
| ~ spl0_153 ),
inference(trivial_inequality_removal,[],[f15031]) ).
thf(f15061,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_168 ),
inference(constrained_superposition,[],[f7366,f26]) ).
thf(f15062,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
= $true ) )
| ~ spl0_168 ),
inference(trivial_inequality_removal,[],[f15061]) ).
thf(f15069,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_98
| ~ spl0_150
| ~ spl0_153 ),
inference(constrained_superposition,[],[f15033,f6040]) ).
thf(f15074,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_98
| ~ spl0_150
| ~ spl0_153 ),
inference(trivial_inequality_removal,[],[f15069]) ).
thf(f15075,plain,
( $false
| ~ spl0_22
| ~ spl0_98
| ~ spl0_150
| ~ spl0_153 ),
inference(forward_subsumption_resolution,[],[f15074,f313]) ).
thf(f15076,plain,
( ~ spl0_22
| ~ spl0_98
| ~ spl0_150
| ~ spl0_153 ),
inference(avatar_contradiction_clause,[],[f15075]) ).
thf(f15091,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_113 ),
inference(constrained_superposition,[],[f28,f5711]) ).
thf(f15092,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_113 ),
inference(trivial_inequality_removal,[],[f15091]) ).
thf(f15098,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_1
| ~ spl0_114 ),
inference(constrained_superposition,[],[f7954,f5715]) ).
thf(f15117,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_1
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f15098]) ).
thf(f15137,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_1
| ~ spl0_114
| spl0_157 ),
inference(forward_subsumption_resolution,[],[f15117,f6433]) ).
thf(f15145,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_1
| ~ spl0_114
| spl0_157 ),
inference(forward_subsumption_resolution,[],[f15137,f27]) ).
thf(f15147,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_1
| ~ spl0_63
| ~ spl0_114
| spl0_157 ),
inference(forward_subsumption_resolution,[],[f15145,f972]) ).
thf(f15148,plain,
( ~ spl0_122
| ~ spl0_1
| ~ spl0_63
| ~ spl0_114
| spl0_157 ),
inference(avatar_split_clause,[],[f15147,f6123,f5714,f971,f61,f5781]) ).
thf(f15149,plain,
( spl0_150
| spl0_170
| ~ spl0_66
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f13195,f5794,f1040,f7393,f6039]) ).
thf(f15179,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_183
| ~ spl0_253 ),
inference(constrained_superposition,[],[f8092,f14341]) ).
thf(f15182,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_183
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f15179]) ).
thf(f15185,plain,
( $false
| ~ spl0_183
| ~ spl0_230
| ~ spl0_253 ),
inference(forward_subsumption_resolution,[],[f15182,f13618]) ).
thf(f15186,plain,
( ~ spl0_183
| ~ spl0_230
| ~ spl0_253 ),
inference(avatar_contradiction_clause,[],[f15185]) ).
thf(f15194,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_226 ),
inference(constrained_superposition,[],[f298,f13268]) ).
thf(f15206,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_1
| ~ spl0_226 ),
inference(constrained_superposition,[],[f8078,f13268]) ).
thf(f15215,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_1
| ~ spl0_226 ),
inference(trivial_inequality_removal,[],[f15206]) ).
thf(f15222,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_226 ),
inference(trivial_inequality_removal,[],[f15194]) ).
thf(f15231,definition,
( spl0_284
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_284])],[avatar_definition]) ).
thf(f15232,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_284 ),
inference(avatar_component_clause,[],[f15231]) ).
thf(f15234,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1
| ~ spl0_63
| ~ spl0_226 ),
inference(forward_subsumption_resolution,[],[f15215,f972]) ).
thf(f15239,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_1
| ~ spl0_63
| ~ spl0_226 ),
inference(forward_subsumption_resolution,[],[f15234,f27]) ).
thf(f15243,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_1
| ~ spl0_63
| ~ spl0_226 ),
inference(forward_subsumption_resolution,[],[f15239,f27]) ).
thf(f15245,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_1
| ~ spl0_63
| ~ spl0_226 ),
inference(forward_subsumption_resolution,[],[f15243,f972]) ).
thf(f15247,plain,
( spl0_262
| ~ spl0_1
| ~ spl0_63
| ~ spl0_226 ),
inference(avatar_split_clause,[],[f15245,f13267,f971,f61,f14652]) ).
thf(f15248,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_229 ),
inference(constrained_superposition,[],[f13614,f34]) ).
thf(f15250,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_229 ),
inference(trivial_inequality_removal,[],[f15248]) ).
thf(f15252,plain,
( spl0_262
| spl0_229 ),
inference(avatar_split_clause,[],[f15250,f13613,f14652]) ).
thf(f15254,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_98
| ~ spl0_262 ),
inference(constrained_superposition,[],[f2398,f14653]) ).
thf(f15256,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_98
| ~ spl0_262 ),
inference(trivial_inequality_removal,[],[f15254]) ).
thf(f15305,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_165
| ~ spl0_223 ),
inference(constrained_superposition,[],[f6590,f13258]) ).
thf(f15307,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z = X0 )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_1
| ~ spl0_165 ),
inference(constrained_superposition,[],[f6590,f8168]) ).
thf(f15309,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ X0 @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_1
| ~ spl0_165 ),
inference(trivial_inequality_removal,[],[f15307]) ).
thf(f15310,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_165
| ~ spl0_223 ),
inference(trivial_inequality_removal,[],[f15305]) ).
thf(f15343,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_83 ),
inference(constrained_superposition,[],[f14908,f34]) ).
thf(f15346,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_83 ),
inference(trivial_inequality_removal,[],[f15343]) ).
thf(f15348,plain,
( spl0_42
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f15346,f1732,f519]) ).
thf(f15349,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_114
| ~ spl0_174 ),
inference(constrained_superposition,[],[f7731,f5715]) ).
thf(f15361,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_114
| ~ spl0_174 ),
inference(trivial_inequality_removal,[],[f15349]) ).
thf(f15367,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_114
| ~ spl0_126
| ~ spl0_174 ),
inference(forward_subsumption_resolution,[],[f15361,f13163]) ).
thf(f15369,plain,
( ~ spl0_117
| ~ spl0_114
| ~ spl0_126
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f15367,f7730,f5794,f5714,f5764]) ).
thf(f15424,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_227
| ~ spl0_262 ),
inference(constrained_superposition,[],[f13514,f14653]) ).
thf(f15427,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_227
| ~ spl0_262 ),
inference(trivial_inequality_removal,[],[f15424]) ).
thf(f15531,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_98
| ~ spl0_256
| ~ spl0_262 ),
inference(constrained_superposition,[],[f15256,f14526]) ).
thf(f15535,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_98
| ~ spl0_256
| ~ spl0_262 ),
inference(trivial_inequality_removal,[],[f15531]) ).
thf(f15537,plain,
( $false
| ~ spl0_22
| ~ spl0_98
| ~ spl0_256
| ~ spl0_262 ),
inference(forward_subsumption_resolution,[],[f15535,f313]) ).
thf(f15538,plain,
( ~ spl0_22
| ~ spl0_98
| ~ spl0_256
| ~ spl0_262 ),
inference(avatar_contradiction_clause,[],[f15537]) ).
thf(f15565,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_1
| ~ spl0_222 ),
inference(constrained_superposition,[],[f7954,f13254]) ).
thf(f15592,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_1
| ~ spl0_222 ),
inference(trivial_inequality_removal,[],[f15565]) ).
thf(f15620,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_113
| ~ spl0_124 ),
inference(constrained_superposition,[],[f15092,f5789]) ).
thf(f15623,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_113
| ~ spl0_124 ),
inference(trivial_inequality_removal,[],[f15620]) ).
thf(f15649,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( $true != $true ) )
| ~ spl0_184
| ~ spl0_203 ),
inference(constrained_superposition,[],[f10786,f8212]) ).
thf(f15652,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) )
| ~ spl0_184
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f15649]) ).
thf(f15655,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( z = X0 )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) )
| ~ spl0_4
| ~ spl0_184
| ~ spl0_203 ),
inference(forward_subsumption_resolution,[],[f15652,f145]) ).
thf(f15659,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f204,f72]) ).
thf(f15662,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f15659]) ).
thf(f15684,plain,
( $false
| ~ spl0_165
| ~ spl0_223
| ~ spl0_253 ),
inference(forward_subsumption_resolution,[],[f14341,f15310]) ).
thf(f15685,plain,
( ~ spl0_165
| ~ spl0_223
| ~ spl0_253 ),
inference(avatar_contradiction_clause,[],[f15684]) ).
thf(f15688,definition,
( spl0_289
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_289])],[avatar_definition]) ).
thf(f15689,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_289 ),
inference(avatar_component_clause,[],[f15688]) ).
thf(f15692,plain,
( spl0_230
| spl0_158
| ~ spl0_226 ),
inference(avatar_split_clause,[],[f15222,f13267,f6128,f13617]) ).
thf(f15693,plain,
( spl0_230
| spl0_235 ),
inference(avatar_split_clause,[],[f14572,f13636,f13617]) ).
thf(f15694,plain,
( spl0_250
| spl0_230
| spl0_235 ),
inference(avatar_split_clause,[],[f14573,f13636,f13617,f14295]) ).
thf(f15696,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_230 ),
inference(constrained_superposition,[],[f28,f13618]) ).
thf(f15698,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_230 ),
inference(trivial_inequality_removal,[],[f15696]) ).
thf(f15741,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_4
| ~ spl0_184
| ~ spl0_203
| ~ spl0_270 ),
inference(constrained_superposition,[],[f15655,f14681]) ).
thf(f15742,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_4
| ~ spl0_184
| ~ spl0_203
| ~ spl0_270 ),
inference(trivial_inequality_removal,[],[f15741]) ).
thf(f15743,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_4
| ~ spl0_184
| ~ spl0_203
| ~ spl0_270 ),
inference(forward_subsumption_resolution,[],[f15742,f27]) ).
thf(f15800,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
!= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= X0 ) )
| ~ spl0_4
| ~ spl0_184
| ~ spl0_203
| ~ spl0_270 ),
inference(constrained_superposition,[],[f30,f15743]) ).
thf(f15848,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_4
| ~ spl0_184
| ~ spl0_203
| ~ spl0_270 ),
inference(equality_resolution,[],[f15800]) ).
thf(f15849,plain,
( spl0_252
| ~ spl0_4
| ~ spl0_184
| ~ spl0_203
| ~ spl0_270 ),
inference(avatar_split_clause,[],[f15848,f14680,f10785,f8211,f96,f14328]) ).
thf(f15917,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
!= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) )
| ~ spl0_252 ),
inference(constrained_superposition,[],[f30,f14329]) ).
thf(f15967,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_252 ),
inference(equality_resolution,[],[f15917]) ).
thf(f15968,plain,
( spl0_145
| ~ spl0_252 ),
inference(avatar_split_clause,[],[f15967,f14328,f5894]) ).
thf(f15991,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_1
| ~ spl0_63
| ~ spl0_222 ),
inference(forward_subsumption_resolution,[],[f15592,f972]) ).
thf(f15992,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_1
| ~ spl0_63
| ~ spl0_222 ),
inference(forward_subsumption_resolution,[],[f15991,f27]) ).
thf(f15993,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_1
| ~ spl0_63
| ~ spl0_222 ),
inference(forward_subsumption_resolution,[],[f15992,f972]) ).
thf(f15994,plain,
( ~ spl0_229
| ~ spl0_1
| ~ spl0_63
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f15993,f13253,f971,f61,f13613]) ).
thf(f16001,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_221
| ~ spl0_227 ),
inference(constrained_superposition,[],[f13514,f13251]) ).
thf(f16005,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_221
| ~ spl0_227 ),
inference(trivial_inequality_removal,[],[f16001]) ).
thf(f16007,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_184
| ~ spl0_221
| ~ spl0_227 ),
inference(constrained_superposition,[],[f16005,f8212]) ).
thf(f16008,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_184
| ~ spl0_221
| ~ spl0_227 ),
inference(trivial_inequality_removal,[],[f16007]) ).
thf(f16009,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_63
| ~ spl0_184
| ~ spl0_221
| ~ spl0_227 ),
inference(forward_subsumption_resolution,[],[f16008,f972]) ).
thf(f16010,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_63
| ~ spl0_184
| ~ spl0_221
| ~ spl0_227 ),
inference(forward_subsumption_resolution,[],[f16009,f27]) ).
thf(f16064,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
!= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= X0 ) )
| ~ spl0_63
| ~ spl0_184
| ~ spl0_221
| ~ spl0_227 ),
inference(constrained_superposition,[],[f30,f16010]) ).
thf(f16111,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_63
| ~ spl0_184
| ~ spl0_221
| ~ spl0_227 ),
inference(equality_resolution,[],[f16064]) ).
thf(f16112,plain,
( spl0_252
| ~ spl0_63
| ~ spl0_184
| ~ spl0_221
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f16111,f13513,f13250,f8211,f971,f14328]) ).
thf(f16113,plain,
( spl0_183
| ~ spl0_113
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f15623,f5788,f5710,f8091]) ).
thf(f16122,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_115 ),
inference(constrained_superposition,[],[f28,f5718]) ).
thf(f16123,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_115 ),
inference(trivial_inequality_removal,[],[f16122]) ).
thf(f16234,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_133 ),
inference(constrained_superposition,[],[f5821,f264]) ).
thf(f16237,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_133 ),
inference(trivial_inequality_removal,[],[f16234]) ).
thf(f16242,plain,
( ~ spl0_167
| spl0_139
| ~ spl0_32
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f16237,f5820,f348,f5842,f6956]) ).
thf(f16245,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_115
| ~ spl0_143 ),
inference(constrained_superposition,[],[f16123,f5861]) ).
thf(f16246,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_115
| ~ spl0_143 ),
inference(trivial_inequality_removal,[],[f16245]) ).
thf(f16249,plain,
( spl0_203
| ~ spl0_115
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f16246,f5860,f5717,f10785]) ).
thf(f16250,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_277 ),
inference(constrained_superposition,[],[f14783,f263]) ).
thf(f16261,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_277 ),
inference(trivial_inequality_removal,[],[f16250]) ).
thf(f16264,plain,
( ~ spl0_43
| ~ spl0_32
| spl0_124
| ~ spl0_277 ),
inference(avatar_split_clause,[],[f16261,f14782,f5788,f348,f522]) ).
thf(f16265,plain,
( ~ spl0_121
| ~ spl0_227
| ~ spl0_262 ),
inference(avatar_split_clause,[],[f15427,f14652,f13513,f5778]) ).
thf(f16270,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_5
| ~ spl0_119
| spl0_143 ),
inference(forward_subsumption_resolution,[],[f14852,f6600]) ).
thf(f16274,plain,
( ~ spl0_14
| spl0_173
| ~ spl0_5
| ~ spl0_119
| spl0_143 ),
inference(avatar_split_clause,[],[f16270,f5860,f5771,f100,f7726,f192]) ).
thf(f16375,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| spl0_270 ),
inference(avatar_component_clause,[],[f14680]) ).
thf(f16488,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| spl0_262 ),
inference(avatar_component_clause,[],[f14652]) ).
thf(f16519,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_73 ),
inference(constrained_superposition,[],[f1069,f263]) ).
thf(f16526,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f16519]) ).
thf(f16564,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| spl0_210 ),
inference(avatar_component_clause,[],[f12945]) ).
thf(f16566,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_12
| spl0_210 ),
inference(constrained_superposition,[],[f16564,f187]) ).
thf(f16567,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_12
| spl0_210 ),
inference(trivial_inequality_removal,[],[f16566]) ).
thf(f16568,plain,
( $false
| ~ spl0_12
| spl0_210
| spl0_262 ),
inference(forward_subsumption_resolution,[],[f16567,f16488]) ).
thf(f16569,plain,
( ~ spl0_12
| spl0_210
| spl0_262 ),
inference(avatar_contradiction_clause,[],[f16568]) ).
thf(f16612,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_1
| ~ spl0_220 ),
inference(constrained_superposition,[],[f8078,f13247]) ).
thf(f16622,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_1
| ~ spl0_220 ),
inference(trivial_inequality_removal,[],[f16612]) ).
thf(f16634,definition,
( spl0_292
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_292])],[avatar_definition]) ).
thf(f16635,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_292 ),
inference(avatar_component_clause,[],[f16634]) ).
thf(f16645,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_1
| ~ spl0_63
| ~ spl0_220 ),
inference(forward_subsumption_resolution,[],[f16622,f972]) ).
thf(f16649,definition,
( spl0_294
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_294])],[avatar_definition]) ).
thf(f16650,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_294 ),
inference(avatar_component_clause,[],[f16649]) ).
thf(f16663,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_1
| ~ spl0_63
| ~ spl0_220 ),
inference(forward_subsumption_resolution,[],[f16645,f27]) ).
thf(f16670,definition,
( spl0_298
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_298])],[avatar_definition]) ).
thf(f16671,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_298 ),
inference(avatar_component_clause,[],[f16670]) ).
thf(f16679,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_1
| ~ spl0_63
| ~ spl0_220 ),
inference(forward_subsumption_resolution,[],[f16663,f27]) ).
thf(f16681,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_1
| ~ spl0_63
| ~ spl0_220 ),
inference(forward_subsumption_resolution,[],[f16679,f972]) ).
thf(f16682,plain,
( spl0_272
| ~ spl0_1
| ~ spl0_63
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f16681,f13246,f971,f61,f14725]) ).
thf(f16683,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_98
| ~ spl0_272 ),
inference(constrained_superposition,[],[f2398,f14726]) ).
thf(f16686,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_98
| ~ spl0_272 ),
inference(trivial_inequality_removal,[],[f16683]) ).
thf(f16745,definition,
( spl0_300
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_300])],[avatar_definition]) ).
thf(f16746,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| spl0_300 ),
inference(avatar_component_clause,[],[f16745]) ).
thf(f16750,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| spl0_300 ),
inference(constrained_superposition,[],[f16746,f36]) ).
thf(f16751,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| spl0_300 ),
inference(constrained_superposition,[],[f16746,f26]) ).
thf(f16754,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_300 ),
inference(trivial_inequality_removal,[],[f16750]) ).
thf(f16755,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_300 ),
inference(trivial_inequality_removal,[],[f16751]) ).
thf(f16780,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_126 ),
inference(constrained_superposition,[],[f13194,f73]) ).
thf(f16787,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_126 ),
inference(trivial_inequality_removal,[],[f16780]) ).
thf(f16832,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_188 ),
inference(constrained_superposition,[],[f9016,f264]) ).
thf(f16835,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_188 ),
inference(trivial_inequality_removal,[],[f16832]) ).
thf(f16842,definition,
( spl0_302
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_302])],[avatar_definition]) ).
thf(f16843,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_302 ),
inference(avatar_component_clause,[],[f16842]) ).
thf(f16846,plain,
( spl0_139
| ~ spl0_33
| spl0_302
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f16835,f9015,f16842,f351,f5842]) ).
thf(f16848,plain,
( spl0_256
| spl0_250
| spl0_300 ),
inference(avatar_split_clause,[],[f16755,f16745,f14295,f14525]) ).
thf(f16849,plain,
( spl0_144
| spl0_256
| spl0_300 ),
inference(avatar_split_clause,[],[f16754,f16745,f14525,f5891]) ).
thf(f16985,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_149 ),
inference(constrained_superposition,[],[f6037,f264]) ).
thf(f16988,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_149 ),
inference(trivial_inequality_removal,[],[f16985]) ).
thf(f16994,definition,
( spl0_304
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_304])],[avatar_definition]) ).
thf(f16995,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_304 ),
inference(avatar_component_clause,[],[f16994]) ).
thf(f16996,plain,
( spl0_139
| ~ spl0_167
| spl0_304
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f16988,f6036,f16994,f6956,f5842]) ).
thf(f17002,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_258 ),
inference(constrained_superposition,[],[f14534,f73]) ).
thf(f17005,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) )
| ~ spl0_258 ),
inference(trivial_inequality_removal,[],[f17002]) ).
thf(f17015,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_176 ),
inference(constrained_superposition,[],[f7767,f264]) ).
thf(f17020,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_176 ),
inference(trivial_inequality_removal,[],[f17015]) ).
thf(f17041,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true ) )
| ~ spl0_21 ),
inference(constrained_superposition,[],[f310,f263]) ).
thf(f17051,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_21 ),
inference(duplicate_literal_removal,[],[f17041]) ).
thf(f17052,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true ) )
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f17051]) ).
thf(f17193,definition,
( spl0_306
<=> ! [X1: $i] :
( ( z = X1 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X1 )
| ( ( r @ X1 @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_306])],[avatar_definition]) ).
thf(f17194,plain,
( ! [X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X1 )
| ( z = X1 )
| ( ( r @ X1 @ z )
= $true ) )
| ~ spl0_306 ),
inference(avatar_component_clause,[],[f17193]) ).
thf(f17196,definition,
( spl0_307
<=> ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_307])],[avatar_definition]) ).
thf(f17197,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_307 ),
inference(avatar_component_clause,[],[f17196]) ).
thf(f17204,definition,
( spl0_309
<=> ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_309])],[avatar_definition]) ).
thf(f17205,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_309 ),
inference(avatar_component_clause,[],[f17204]) ).
thf(f17237,definition,
( spl0_310
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_310])],[avatar_definition]) ).
thf(f17238,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_310 ),
inference(avatar_component_clause,[],[f17237]) ).
thf(f17247,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true != $true )
| ( ( r @ X0 @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
= $true )
| ( z = X0 ) )
| ~ spl0_168 ),
inference(constrained_superposition,[],[f15062,f26]) ).
thf(f17251,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
= $true )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_168 ),
inference(trivial_inequality_removal,[],[f17247]) ).
thf(f17253,plain,
( spl0_306
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f17251,f7365,f17193]) ).
thf(f17295,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_227
| ~ spl0_306 ),
inference(constrained_superposition,[],[f13514,f17194]) ).
thf(f17316,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_227
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f17295]) ).
thf(f17321,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_63
| ~ spl0_227
| ~ spl0_306 ),
inference(forward_subsumption_resolution,[],[f17316,f972]) ).
thf(f17325,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_63
| ~ spl0_227
| ~ spl0_306 ),
inference(forward_subsumption_resolution,[],[f17321,f27]) ).
thf(f17331,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_124 ),
inference(avatar_component_clause,[],[f5788]) ).
thf(f17337,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_63
| ~ spl0_113
| ~ spl0_227
| ~ spl0_306 ),
inference(forward_subsumption_resolution,[],[f17325,f5711]) ).
thf(f17338,plain,
( spl0_252
| ~ spl0_63
| ~ spl0_113
| ~ spl0_227
| ~ spl0_306 ),
inference(avatar_split_clause,[],[f17337,f17193,f13513,f5710,f971,f14328]) ).
thf(f17394,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_165
| ~ spl0_197
| ~ spl0_223 ),
inference(constrained_superposition,[],[f15310,f9372]) ).
thf(f17407,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_165
| ~ spl0_197
| ~ spl0_223 ),
inference(trivial_inequality_removal,[],[f17394]) ).
thf(f17411,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_165
| ~ spl0_197
| ~ spl0_223 ),
inference(forward_subsumption_resolution,[],[f17407,f27]) ).
thf(f17414,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_63
| ~ spl0_165
| ~ spl0_197
| ~ spl0_223 ),
inference(forward_subsumption_resolution,[],[f17411,f972]) ).
thf(f17416,definition,
( spl0_315
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_315])],[avatar_definition]) ).
thf(f17417,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_315 ),
inference(avatar_component_clause,[],[f17416]) ).
thf(f17419,plain,
( spl0_252
| ~ spl0_63
| ~ spl0_165
| ~ spl0_197
| ~ spl0_223 ),
inference(avatar_split_clause,[],[f17414,f13257,f9371,f6589,f971,f14328]) ).
thf(f17426,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_253 ),
inference(avatar_component_clause,[],[f14340]) ).
thf(f17588,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_98
| ~ spl0_272
| ~ spl0_292 ),
inference(constrained_superposition,[],[f16686,f16635]) ).
thf(f17594,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_98
| ~ spl0_272
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f17588]) ).
thf(f17597,plain,
( $false
| ~ spl0_4
| ~ spl0_98
| ~ spl0_272
| ~ spl0_292 ),
inference(forward_subsumption_resolution,[],[f17594,f97]) ).
thf(f17598,plain,
( ~ spl0_4
| ~ spl0_98
| ~ spl0_272
| ~ spl0_292 ),
inference(avatar_contradiction_clause,[],[f17597]) ).
thf(f17612,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_73
| ~ spl0_224 ),
inference(constrained_superposition,[],[f16526,f13261]) ).
thf(f17618,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_141
| ~ spl0_224 ),
inference(constrained_superposition,[],[f5852,f13261]) ).
thf(f17654,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_141
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f17618]) ).
thf(f17661,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_73
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f17612]) ).
thf(f17676,definition,
( spl0_317
<=> ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_317])],[avatar_definition]) ).
thf(f17677,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_317 ),
inference(avatar_component_clause,[],[f17676]) ).
thf(f17678,plain,
( spl0_317
| ~ spl0_234
| ~ spl0_141
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f17654,f13260,f5851,f13632,f17676]) ).
thf(f17680,definition,
( spl0_318
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_318])],[avatar_definition]) ).
thf(f17681,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_318 ),
inference(avatar_component_clause,[],[f17680]) ).
thf(f17738,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_192 ),
inference(constrained_superposition,[],[f9037,f264]) ).
thf(f17743,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f17738]) ).
thf(f17818,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| spl0_310 ),
inference(avatar_component_clause,[],[f17237]) ).
thf(f17821,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| spl0_310 ),
inference(constrained_superposition,[],[f17818,f26]) ).
thf(f17823,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| spl0_310 ),
inference(trivial_inequality_removal,[],[f17821]) ).
thf(f17826,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| spl0_310 ),
inference(forward_subsumption_resolution,[],[f17823,f27]) ).
thf(f17827,plain,
( $false
| ~ spl0_63
| spl0_310 ),
inference(forward_subsumption_resolution,[],[f17826,f972]) ).
thf(f17828,plain,
( ~ spl0_63
| spl0_310 ),
inference(avatar_contradiction_clause,[],[f17827]) ).
thf(f17835,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true ) )
| ~ spl0_15
| ~ spl0_310 ),
inference(constrained_superposition,[],[f225,f17238]) ).
thf(f17845,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_15
| ~ spl0_310 ),
inference(trivial_inequality_removal,[],[f17835]) ).
thf(f17858,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_15
| spl0_270
| ~ spl0_310 ),
inference(forward_subsumption_resolution,[],[f17845,f16375]) ).
thf(f17919,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_230
| ~ spl0_253 ),
inference(constrained_superposition,[],[f15698,f14341]) ).
thf(f17922,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_197
| ~ spl0_230 ),
inference(constrained_superposition,[],[f15698,f9372]) ).
thf(f17924,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_230
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f17919]) ).
thf(f17926,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_197
| ~ spl0_230 ),
inference(trivial_inequality_removal,[],[f17922]) ).
thf(f17927,plain,
( spl0_315
| ~ spl0_230
| ~ spl0_253 ),
inference(avatar_split_clause,[],[f17924,f14340,f13617,f17416]) ).
thf(f17928,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_197
| ~ spl0_230 ),
inference(forward_subsumption_resolution,[],[f17926,f27]) ).
thf(f17929,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_63
| ~ spl0_197
| ~ spl0_230 ),
inference(forward_subsumption_resolution,[],[f17928,f972]) ).
thf(f17930,plain,
( spl0_315
| spl0_252
| ~ spl0_63
| ~ spl0_197
| ~ spl0_230 ),
inference(avatar_split_clause,[],[f17929,f13617,f9371,f971,f14328,f17416]) ).
thf(f17944,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_225
| ~ spl0_315 ),
inference(constrained_superposition,[],[f17417,f13265]) ).
thf(f17950,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_225
| ~ spl0_315 ),
inference(trivial_inequality_removal,[],[f17944]) ).
thf(f17953,plain,
( $false
| ~ spl0_115
| ~ spl0_225
| ~ spl0_315 ),
inference(forward_subsumption_resolution,[],[f17950,f5718]) ).
thf(f17954,plain,
( ~ spl0_115
| ~ spl0_225
| ~ spl0_315 ),
inference(avatar_contradiction_clause,[],[f17953]) ).
thf(f17956,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_73
| ~ spl0_119
| ~ spl0_224 ),
inference(forward_subsumption_resolution,[],[f17661,f11885]) ).
thf(f17962,definition,
( spl0_321
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_321])],[avatar_definition]) ).
thf(f17963,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_321 ),
inference(avatar_component_clause,[],[f17962]) ).
thf(f17973,plain,
( ~ spl0_132
| ~ spl0_233
| spl0_230
| ~ spl0_73
| ~ spl0_119
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f17956,f13260,f5771,f1068,f13617,f13629,f5816]) ).
thf(f17992,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_113
| ~ spl0_185 ),
inference(constrained_superposition,[],[f5711,f8302]) ).
thf(f17993,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_115
| ~ spl0_185 ),
inference(constrained_superposition,[],[f5718,f8302]) ).
thf(f17995,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_121
| ~ spl0_185 ),
inference(constrained_superposition,[],[f5779,f8302]) ).
thf(f18146,plain,
( $false
| ~ spl0_121
| spl0_153
| ~ spl0_185 ),
inference(forward_subsumption_resolution,[],[f17995,f8213]) ).
thf(f18147,plain,
( ~ spl0_121
| spl0_153
| ~ spl0_185 ),
inference(avatar_contradiction_clause,[],[f18146]) ).
thf(f18149,plain,
( $false
| ~ spl0_113
| ~ spl0_185 ),
inference(forward_subsumption_resolution,[],[f17992,f31]) ).
thf(f18150,plain,
( ~ spl0_113
| ~ spl0_185 ),
inference(avatar_contradiction_clause,[],[f18149]) ).
thf(f18153,plain,
( $false
| ~ spl0_115
| ~ spl0_185 ),
inference(forward_subsumption_resolution,[],[f17993,f31]) ).
thf(f18154,plain,
( ~ spl0_115
| ~ spl0_185 ),
inference(avatar_contradiction_clause,[],[f18153]) ).
thf(f18173,plain,
( spl0_190
| ~ spl0_136
| spl0_210
| ~ spl0_258 ),
inference(avatar_split_clause,[],[f17005,f14533,f12945,f5831,f9024]) ).
thf(f18180,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_98
| ~ spl0_153 ),
inference(constrained_superposition,[],[f2398,f6101]) ).
thf(f18182,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_98
| ~ spl0_153 ),
inference(trivial_inequality_removal,[],[f18180]) ).
thf(f18184,plain,
( spl0_307
| ~ spl0_98
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f18182,f6100,f2397,f17196]) ).
thf(f18189,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_185 ),
inference(extensionality_resolution,[],[f74,f13225]) ).
thf(f18190,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_185 ),
inference(extensionality_resolution,[],[f74,f13225]) ).
thf(f18191,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_185 ),
inference(extensionality_resolution,[],[f36,f13225]) ).
thf(f18192,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_185 ),
inference(extensionality_resolution,[],[f36,f13225]) ).
thf(f18194,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_185 ),
inference(extensionality_resolution,[],[f26,f13225]) ).
thf(f18195,plain,
( spl0_225
| spl0_226
| spl0_185 ),
inference(avatar_split_clause,[],[f18191,f8301,f13267,f13264]) ).
thf(f18196,plain,
( spl0_223
| spl0_224
| spl0_185 ),
inference(avatar_split_clause,[],[f18192,f8301,f13260,f13257]) ).
thf(f18197,plain,
( spl0_222
| spl0_221
| spl0_185 ),
inference(avatar_split_clause,[],[f18190,f8301,f13250,f13253]) ).
thf(f18198,plain,
( spl0_220
| spl0_219
| spl0_185 ),
inference(avatar_split_clause,[],[f18189,f8301,f13243,f13246]) ).
thf(f18204,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_98
| ~ spl0_262 ),
inference(constrained_superposition,[],[f2398,f14653]) ).
thf(f18207,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_98
| ~ spl0_262 ),
inference(trivial_inequality_removal,[],[f18204]) ).
thf(f18210,plain,
( spl0_309
| ~ spl0_98
| ~ spl0_262 ),
inference(avatar_split_clause,[],[f18207,f14652,f2397,f17204]) ).
thf(f18235,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_115
| ~ spl0_307 ),
inference(constrained_superposition,[],[f17197,f5718]) ).
thf(f18238,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_115
| ~ spl0_307 ),
inference(trivial_inequality_removal,[],[f18235]) ).
thf(f18253,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( $true != $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_207 ),
inference(constrained_superposition,[],[f11940,f26]) ).
thf(f18257,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_207 ),
inference(constrained_superposition,[],[f11940,f264]) ).
thf(f18260,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_207 ),
inference(trivial_inequality_removal,[],[f18257]) ).
thf(f18261,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_207 ),
inference(trivial_inequality_removal,[],[f18253]) ).
thf(f18274,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_223 ),
inference(constrained_superposition,[],[f28,f13258]) ).
thf(f18276,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_223 ),
inference(trivial_inequality_removal,[],[f18274]) ).
thf(f18278,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_225
| ~ spl0_309 ),
inference(constrained_superposition,[],[f17205,f13265]) ).
thf(f18281,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_225
| ~ spl0_309 ),
inference(trivial_inequality_removal,[],[f18278]) ).
thf(f18324,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_15
| ~ spl0_222
| spl0_270
| ~ spl0_310 ),
inference(constrained_superposition,[],[f17858,f13254]) ).
thf(f18331,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_17
| ~ spl0_222 ),
inference(constrained_superposition,[],[f15662,f13254]) ).
thf(f18345,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_222 ),
inference(constrained_superposition,[],[f88,f13254]) ).
thf(f18364,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_222 ),
inference(trivial_inequality_removal,[],[f18345]) ).
thf(f18376,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_15
| ~ spl0_222
| spl0_270
| ~ spl0_310 ),
inference(trivial_inequality_removal,[],[f18324]) ).
thf(f18379,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_17
| ~ spl0_222 ),
inference(trivial_inequality_removal,[],[f18331]) ).
thf(f18390,plain,
( ~ spl0_233
| ~ spl0_239
| ~ spl0_15
| ~ spl0_222
| spl0_270
| ~ spl0_310 ),
inference(avatar_split_clause,[],[f18376,f17237,f14680,f13253,f196,f13653,f13629]) ).
thf(f18393,plain,
( spl0_148
| spl0_15
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f16787,f5794,f196,f6031]) ).
thf(f18425,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_222
| ~ spl0_260 ),
inference(constrained_superposition,[],[f14646,f13254]) ).
thf(f18440,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_222
| ~ spl0_260 ),
inference(trivial_inequality_removal,[],[f18425]) ).
thf(f18455,plain,
( ~ spl0_235
| ~ spl0_222
| ~ spl0_260 ),
inference(avatar_split_clause,[],[f18440,f14645,f13253,f13636]) ).
thf(f18528,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_204
| ~ spl0_294 ),
inference(constrained_superposition,[],[f11399,f16650]) ).
thf(f18529,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_204
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f18528]) ).
thf(f18537,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_204
| ~ spl0_294 ),
inference(constrained_superposition,[],[f16650,f18529]) ).
thf(f18657,plain,
( spl0_139
| ~ spl0_204
| ~ spl0_294 ),
inference(avatar_split_clause,[],[f18537,f16649,f11398,f5842]) ).
thf(f18659,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_4
| ~ spl0_292 ),
inference(constrained_superposition,[],[f141,f16635]) ).
thf(f18664,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_4
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f18659]) ).
thf(f18665,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_4
| ~ spl0_219
| ~ spl0_292 ),
inference(constrained_superposition,[],[f18664,f13244]) ).
thf(f18671,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_4
| ~ spl0_219
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f18665]) ).
thf(f18679,plain,
( ~ spl0_232
| ~ spl0_4
| ~ spl0_219
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f18671,f16634,f13243,f96,f13624]) ).
thf(f18680,plain,
( spl0_266
| spl0_232
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f18364,f13253,f13624,f14666]) ).
thf(f18712,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_223 ),
inference(constrained_superposition,[],[f18276,f13258]) ).
thf(f18714,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_223 ),
inference(trivial_inequality_removal,[],[f18712]) ).
thf(f18839,plain,
( ~ spl0_24
| spl0_139
| ~ spl0_207 ),
inference(avatar_split_clause,[],[f18260,f11939,f5842,f319]) ).
thf(f18842,plain,
( spl0_139
| ~ spl0_32
| ~ spl0_24
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f17743,f9036,f319,f348,f5842]) ).
thf(f18852,plain,
( spl0_270
| ~ spl0_238
| ~ spl0_239
| ~ spl0_17
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f18379,f13253,f203,f13653,f13649,f14680]) ).
thf(f18853,plain,
( spl0_247
| spl0_26
| spl0_22
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f11225,f61,f312,f326,f13935]) ).
thf(f18855,plain,
( spl0_112
| spl0_113
| spl0_185 ),
inference(avatar_split_clause,[],[f18194,f8301,f5710,f5707]) ).
thf(f18859,plain,
( spl0_139
| ~ spl0_32
| ~ spl0_43
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f17020,f7766,f522,f348,f5842]) ).
thf(f18861,plain,
( ~ spl0_134
| ~ spl0_225
| ~ spl0_309 ),
inference(avatar_split_clause,[],[f18281,f17204,f13264,f5824]) ).
thf(f18869,plain,
( ~ spl0_134
| ~ spl0_115
| ~ spl0_307 ),
inference(avatar_split_clause,[],[f18238,f17196,f5717,f5824]) ).
thf(f18877,definition,
( spl0_331
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_331])],[avatar_definition]) ).
thf(f18878,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_331 ),
inference(avatar_component_clause,[],[f18877]) ).
thf(f18940,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_223
| ~ spl0_283 ),
inference(constrained_superposition,[],[f18276,f15013]) ).
thf(f18943,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_223
| ~ spl0_283 ),
inference(trivial_inequality_removal,[],[f18940]) ).
thf(f18949,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_210
| ~ spl0_309 ),
inference(constrained_superposition,[],[f17205,f12946]) ).
thf(f18953,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_210
| ~ spl0_309 ),
inference(trivial_inequality_removal,[],[f18949]) ).
thf(f18956,plain,
( $false
| ~ spl0_4
| ~ spl0_210
| ~ spl0_309 ),
inference(forward_subsumption_resolution,[],[f18953,f97]) ).
thf(f18957,plain,
( ~ spl0_4
| ~ spl0_210
| ~ spl0_309 ),
inference(avatar_contradiction_clause,[],[f18956]) ).
thf(f18958,plain,
( spl0_309
| ~ spl0_223
| ~ spl0_283 ),
inference(avatar_split_clause,[],[f18943,f15012,f13257,f17204]) ).
thf(f18978,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| spl0_310 ),
inference(constrained_superposition,[],[f17818,f35]) ).
thf(f18981,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| spl0_310 ),
inference(trivial_inequality_removal,[],[f18978]) ).
thf(f18983,plain,
( spl0_331
| spl0_310 ),
inference(avatar_split_clause,[],[f18981,f17237,f18877]) ).
thf(f18988,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_36
| ~ spl0_264 ),
inference(constrained_superposition,[],[f400,f14660]) ).
thf(f18991,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( ( r @ X0 @ z )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_1
| ~ spl0_36 ),
inference(constrained_superposition,[],[f400,f8168]) ).
thf(f18992,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_36
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f18988]) ).
thf(f18995,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( z = X0 )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ X0 @ z )
= $true )
| ( z
= ( s @ ( s @ z ) ) ) )
| ~ spl0_1
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f18991]) ).
thf(f18996,plain,
( ~ spl0_270
| ~ spl0_36
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f18992,f14659,f399,f14680]) ).
thf(f18997,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ z )
= $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( z = X0 ) )
| ~ spl0_1
| spl0_22
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f18995,f2068]) ).
thf(f18998,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ X0 @ z )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_1
| ~ spl0_6
| spl0_22
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f18997,f104]) ).
thf(f18999,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_1
| ~ spl0_6
| spl0_22
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f18998,f27]) ).
thf(f19000,plain,
( spl0_193
| ~ spl0_1
| ~ spl0_6
| spl0_22
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f18999,f399,f312,f103,f61,f9095]) ).
thf(f19016,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_112
| ~ spl0_188 ),
inference(constrained_superposition,[],[f9016,f5708]) ).
thf(f19020,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_112
| ~ spl0_278 ),
inference(constrained_superposition,[],[f14790,f5708]) ).
thf(f19027,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_112 ),
inference(constrained_superposition,[],[f249,f5708]) ).
thf(f19033,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| ~ spl0_112 ),
inference(constrained_superposition,[],[f42,f5708]) ).
thf(f19045,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f19027]) ).
thf(f19062,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f19033]) ).
thf(f19065,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_112
| ~ spl0_278 ),
inference(trivial_inequality_removal,[],[f19020]) ).
thf(f19066,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_112
| ~ spl0_188 ),
inference(duplicate_literal_removal,[],[f19016]) ).
thf(f19067,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_112
| ~ spl0_188 ),
inference(trivial_inequality_removal,[],[f19066]) ).
thf(f19073,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_112
| spl0_131 ),
inference(forward_subsumption_resolution,[],[f19045,f10018]) ).
thf(f19076,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| ~ spl0_112
| spl0_121 ),
inference(forward_subsumption_resolution,[],[f19062,f10986]) ).
thf(f19078,plain,
( ~ spl0_117
| ~ spl0_167
| ~ spl0_112
| ~ spl0_278 ),
inference(avatar_split_clause,[],[f19065,f14789,f5707,f6956,f5764]) ).
thf(f19079,plain,
( spl0_198
| ~ spl0_164
| ~ spl0_112
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f19067,f9015,f5707,f6532,f9710]) ).
thf(f19081,plain,
( ~ spl0_117
| spl0_57
| ~ spl0_112
| spl0_131 ),
inference(avatar_split_clause,[],[f19073,f5812,f5707,f748,f5764]) ).
thf(f19083,plain,
( spl0_141
| ~ spl0_112
| spl0_121 ),
inference(avatar_split_clause,[],[f19076,f5778,f5707,f5851]) ).
thf(f19085,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_57
| ~ spl0_112 ),
inference(constrained_superposition,[],[f749,f5708]) ).
thf(f19096,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_57
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f19085]) ).
thf(f19103,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_198 ),
inference(constrained_superposition,[],[f9711,f264]) ).
thf(f19105,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f19103]) ).
thf(f19128,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_161
| ~ spl0_223 ),
inference(constrained_superposition,[],[f6437,f13258]) ).
thf(f19131,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_161
| ~ spl0_223 ),
inference(trivial_inequality_removal,[],[f19128]) ).
thf(f19160,plain,
( spl0_227
| ~ spl0_223 ),
inference(avatar_split_clause,[],[f18714,f13257,f13513]) ).
thf(f19161,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_27 ),
inference(constrained_superposition,[],[f331,f263]) ).
thf(f19171,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) )
| ~ spl0_27 ),
inference(duplicate_literal_removal,[],[f19161]) ).
thf(f19172,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true ) )
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f19171]) ).
thf(f19178,plain,
( ~ spl0_24
| spl0_85
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f19172,f330,f1852,f319]) ).
thf(f19190,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_119
| ~ spl0_247 ),
inference(constrained_superposition,[],[f13936,f11885]) ).
thf(f19193,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_119
| ~ spl0_247 ),
inference(trivial_inequality_removal,[],[f19190]) ).
thf(f19196,plain,
( spl0_116
| ~ spl0_119
| ~ spl0_247 ),
inference(avatar_split_clause,[],[f19193,f13935,f5771,f5761]) ).
thf(f19201,plain,
( ~ spl0_128
| ~ spl0_57
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f19096,f5707,f748,f5801]) ).
thf(f19203,plain,
( ( $true != $true )
| ( z
= ( s @ z ) )
| spl0_53
| ~ spl0_107 ),
inference(constrained_superposition,[],[f6439,f4648]) ).
thf(f19204,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_107
| spl0_143 ),
inference(constrained_superposition,[],[f6600,f4648]) ).
thf(f19217,plain,
( ( z
= ( s @ z ) )
| spl0_53
| ~ spl0_107 ),
inference(trivial_inequality_removal,[],[f19203]) ).
thf(f19219,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_107
| spl0_143 ),
inference(trivial_inequality_removal,[],[f19204]) ).
thf(f19224,plain,
( $false
| spl0_53
| ~ spl0_107 ),
inference(forward_subsumption_resolution,[],[f19217,f27]) ).
thf(f19225,plain,
( spl0_53
| ~ spl0_107 ),
inference(avatar_contradiction_clause,[],[f19224]) ).
thf(f19226,plain,
( $false
| ~ spl0_107
| spl0_143 ),
inference(forward_subsumption_resolution,[],[f19219,f27]) ).
thf(f19227,plain,
( ~ spl0_107
| spl0_143 ),
inference(avatar_contradiction_clause,[],[f19226]) ).
thf(f19239,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_113 ),
inference(constrained_superposition,[],[f28,f5711]) ).
thf(f19241,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_113 ),
inference(trivial_inequality_removal,[],[f19239]) ).
thf(f19297,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_221
| ~ spl0_227 ),
inference(constrained_superposition,[],[f13514,f13251]) ).
thf(f19300,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_221
| ~ spl0_227 ),
inference(trivial_inequality_removal,[],[f19297]) ).
thf(f19302,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_113
| ~ spl0_157 ),
inference(constrained_superposition,[],[f19241,f6124]) ).
thf(f19304,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_113
| ~ spl0_157 ),
inference(trivial_inequality_removal,[],[f19302]) ).
thf(f19310,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_190 ),
inference(constrained_superposition,[],[f9025,f264]) ).
thf(f19315,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_190 ),
inference(trivial_inequality_removal,[],[f19310]) ).
thf(f19395,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_85 ),
inference(constrained_superposition,[],[f1853,f72]) ).
thf(f19401,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_85 ),
inference(trivial_inequality_removal,[],[f19395]) ).
thf(f19411,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_137 ),
inference(constrained_superposition,[],[f5836,f72]) ).
thf(f19422,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_137 ),
inference(trivial_inequality_removal,[],[f19411]) ).
thf(f19427,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_130 ),
inference(constrained_superposition,[],[f5810,f264]) ).
thf(f19430,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_130 ),
inference(trivial_inequality_removal,[],[f19427]) ).
thf(f19451,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_284 ),
inference(constrained_superposition,[],[f15232,f34]) ).
thf(f19457,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_284 ),
inference(duplicate_literal_removal,[],[f19451]) ).
thf(f19458,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) )
| ~ spl0_284 ),
inference(trivial_inequality_removal,[],[f19457]) ).
thf(f19463,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) )
| ~ spl0_119
| ~ spl0_284 ),
inference(forward_subsumption_resolution,[],[f19458,f11885]) ).
thf(f19469,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_119
| spl0_262
| ~ spl0_284 ),
inference(forward_subsumption_resolution,[],[f19463,f16488]) ).
thf(f19471,plain,
( spl0_173
| ~ spl0_119
| spl0_262
| ~ spl0_284 ),
inference(avatar_split_clause,[],[f19469,f15231,f14652,f5771,f7726]) ).
thf(f19502,definition,
( spl0_335
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_335])],[avatar_definition]) ).
thf(f19503,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_335 ),
inference(avatar_component_clause,[],[f19502]) ).
thf(f19622,plain,
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_53
| ~ spl0_92 ),
inference(constrained_superposition,[],[f6439,f2081]) ).
thf(f19632,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_53
| ~ spl0_92 ),
inference(trivial_inequality_removal,[],[f19622]) ).
thf(f19642,plain,
( ( z
= ( s @ ( s @ z ) ) )
| spl0_37
| spl0_53
| ~ spl0_92 ),
inference(forward_subsumption_resolution,[],[f19632,f5656]) ).
thf(f19648,plain,
( $false
| spl0_37
| spl0_53
| ~ spl0_92 ),
inference(forward_subsumption_resolution,[],[f19642,f27]) ).
thf(f19649,plain,
( spl0_37
| spl0_53
| ~ spl0_92 ),
inference(avatar_contradiction_clause,[],[f19648]) ).
thf(f19652,definition,
( spl0_343
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_343])],[avatar_definition]) ).
thf(f19653,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_343 ),
inference(avatar_component_clause,[],[f19652]) ).
thf(f19687,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( $true != $true )
| ( ( r @ X0 @ z )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_36
| ~ spl0_193 ),
inference(constrained_superposition,[],[f400,f9096]) ).
thf(f19688,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_193 ),
inference(constrained_superposition,[],[f28,f9096]) ).
thf(f19703,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_36
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f19687]) ).
thf(f19704,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X2 )
!= $true )
| ( z = X0 )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f19688]) ).
thf(f19707,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 ) )
| ~ spl0_4
| ~ spl0_36
| ~ spl0_193 ),
inference(forward_subsumption_resolution,[],[f19703,f145]) ).
thf(f19708,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_193 ),
inference(forward_subsumption_resolution,[],[f19704,f28]) ).
thf(f19712,definition,
( spl0_344
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_344])],[avatar_definition]) ).
thf(f19713,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_344 ),
inference(avatar_component_clause,[],[f19712]) ).
thf(f19746,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_250 ),
inference(constrained_superposition,[],[f264,f14296]) ).
thf(f19873,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_250 ),
inference(forward_subsumption_resolution,[],[f19746,f31]) ).
thf(f19896,plain,
( $false
| ~ spl0_250 ),
inference(forward_subsumption_resolution,[],[f19873,f25]) ).
thf(f19897,plain,
~ spl0_250,
inference(avatar_contradiction_clause,[],[f19896]) ).
thf(f19909,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_161
| ~ spl0_193
| ~ spl0_223 ),
inference(constrained_superposition,[],[f19131,f9096]) ).
thf(f19910,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_161
| ~ spl0_193
| ~ spl0_223 ),
inference(trivial_inequality_removal,[],[f19909]) ).
thf(f19912,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_221
| ~ spl0_309 ),
inference(constrained_superposition,[],[f17205,f13251]) ).
thf(f19915,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_221
| ~ spl0_309 ),
inference(trivial_inequality_removal,[],[f19912]) ).
thf(f19917,plain,
( $false
| ~ spl0_221
| ~ spl0_309
| ~ spl0_331 ),
inference(forward_subsumption_resolution,[],[f19915,f18878]) ).
thf(f19918,plain,
( ~ spl0_221
| ~ spl0_309
| ~ spl0_331 ),
inference(avatar_contradiction_clause,[],[f19917]) ).
thf(f19919,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_161
| ~ spl0_193
| ~ spl0_223 ),
inference(forward_subsumption_resolution,[],[f19910,f27]) ).
thf(f19920,plain,
( spl0_283
| spl0_250
| ~ spl0_161
| ~ spl0_193
| ~ spl0_223 ),
inference(avatar_split_clause,[],[f19919,f13257,f9095,f6436,f14295,f15012]) ).
thf(f19993,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_225
| ~ spl0_344 ),
inference(constrained_superposition,[],[f19713,f13265]) ).
thf(f19996,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_225
| ~ spl0_344 ),
inference(trivial_inequality_removal,[],[f19993]) ).
thf(f19999,plain,
( $false
| ~ spl0_116
| ~ spl0_225
| ~ spl0_344 ),
inference(forward_subsumption_resolution,[],[f19996,f5762]) ).
thf(f20000,plain,
( ~ spl0_116
| ~ spl0_225
| ~ spl0_344 ),
inference(avatar_contradiction_clause,[],[f19999]) ).
thf(f20064,plain,
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_94
| ~ spl0_157 ),
inference(constrained_superposition,[],[f2096,f6124]) ).
thf(f20067,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_94
| ~ spl0_157 ),
inference(trivial_inequality_removal,[],[f20064]) ).
thf(f20069,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_37
| ~ spl0_94
| ~ spl0_157 ),
inference(forward_subsumption_resolution,[],[f20067,f5656]) ).
thf(f20071,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_37
| ~ spl0_94
| ~ spl0_157 ),
inference(forward_subsumption_resolution,[],[f20069,f27]) ).
thf(f20073,plain,
( spl0_148
| spl0_37
| ~ spl0_94
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f20071,f6123,f2095,f411,f6031]) ).
thf(f20074,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z
= ( s @ z ) )
| ( $true != $true )
| ~ spl0_101
| ~ spl0_157 ),
inference(constrained_superposition,[],[f2984,f6124]) ).
thf(f20077,plain,
( ( z
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_101
| ~ spl0_157 ),
inference(trivial_inequality_removal,[],[f20074]) ).
thf(f20079,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_101
| ~ spl0_157 ),
inference(forward_subsumption_resolution,[],[f20077,f27]) ).
thf(f20082,plain,
( spl0_148
| ~ spl0_101
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f20079,f6123,f2983,f6031]) ).
thf(f20085,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_18
| spl0_53 ),
inference(constrained_superposition,[],[f6439,f207]) ).
thf(f20087,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_18
| spl0_143 ),
inference(constrained_superposition,[],[f6600,f207]) ).
thf(f20102,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_18
| spl0_143 ),
inference(trivial_inequality_removal,[],[f20087]) ).
thf(f20106,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_18
| spl0_53 ),
inference(trivial_inequality_removal,[],[f20085]) ).
thf(f20115,plain,
( $false
| ~ spl0_18
| spl0_131
| spl0_143 ),
inference(forward_subsumption_resolution,[],[f20102,f10018]) ).
thf(f20116,plain,
( ~ spl0_18
| spl0_131
| spl0_143 ),
inference(avatar_contradiction_clause,[],[f20115]) ).
thf(f20118,plain,
( spl0_148
| ~ spl0_18
| spl0_53 ),
inference(avatar_split_clause,[],[f20106,f728,f206,f6031]) ).
thf(f20126,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f204,f72]) ).
thf(f20130,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f20126]) ).
thf(f20150,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z = X0 )
| ( ( r @ X0 @ z )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_4
| ~ spl0_193 ),
inference(constrained_superposition,[],[f19708,f97]) ).
thf(f20151,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z = X0 )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_157
| ~ spl0_193 ),
inference(constrained_superposition,[],[f19708,f6124]) ).
thf(f20152,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 ) )
| ~ spl0_193
| ~ spl0_283 ),
inference(constrained_superposition,[],[f19708,f15013]) ).
thf(f20175,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( z = X0 )
| ( ( r @ X0 @ z )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_193
| ~ spl0_283 ),
inference(trivial_inequality_removal,[],[f20152]) ).
thf(f20176,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_157
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f20151]) ).
thf(f20180,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( z = X0 )
| ( ( r @ X0 @ z )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_4
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f20150]) ).
thf(f20199,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_113
| ~ spl0_157
| ~ spl0_193 ),
inference(constrained_superposition,[],[f20176,f5711]) ).
thf(f20200,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_113
| ~ spl0_157
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f20199]) ).
thf(f20327,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_36
| ~ spl0_42 ),
inference(constrained_superposition,[],[f400,f520]) ).
thf(f20337,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_36
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f20327]) ).
thf(f20341,plain,
( spl0_59
| ~ spl0_36
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f20337,f519,f399,f897]) ).
thf(f20344,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_84
| ~ spl0_89 ),
inference(constrained_superposition,[],[f2066,f1736]) ).
thf(f20347,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_84
| ~ spl0_165 ),
inference(constrained_superposition,[],[f6590,f1736]) ).
thf(f20367,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_84
| ~ spl0_89 ),
inference(trivial_inequality_removal,[],[f20344]) ).
thf(f20368,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_84
| ~ spl0_165 ),
inference(trivial_inequality_removal,[],[f20347]) ).
thf(f20371,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_84
| ~ spl0_89
| ~ spl0_113 ),
inference(constrained_superposition,[],[f20367,f5711]) ).
thf(f20375,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_84
| ~ spl0_89
| ~ spl0_115 ),
inference(constrained_superposition,[],[f20367,f5718]) ).
thf(f20381,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_84
| ~ spl0_89
| ~ spl0_115 ),
inference(trivial_inequality_removal,[],[f20375]) ).
thf(f20384,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_84
| ~ spl0_89
| ~ spl0_113 ),
inference(trivial_inequality_removal,[],[f20371]) ).
thf(f20397,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_36
| ~ spl0_245 ),
inference(constrained_superposition,[],[f400,f13926]) ).
thf(f20399,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_245 ),
inference(constrained_superposition,[],[f28,f13926]) ).
thf(f20401,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_245 ),
inference(trivial_inequality_removal,[],[f20399]) ).
thf(f20407,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_36
| ~ spl0_245 ),
inference(trivial_inequality_removal,[],[f20397]) ).
thf(f20411,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_245 ),
inference(forward_subsumption_resolution,[],[f20401,f28]) ).
thf(f20412,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_4
| ~ spl0_36
| ~ spl0_245 ),
inference(forward_subsumption_resolution,[],[f20407,f145]) ).
thf(f20413,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_157
| ~ spl0_245 ),
inference(constrained_superposition,[],[f20411,f6124]) ).
thf(f20430,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_157
| ~ spl0_245 ),
inference(trivial_inequality_removal,[],[f20413]) ).
thf(f20479,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_193
| ~ spl0_223
| ~ spl0_283 ),
inference(constrained_superposition,[],[f20175,f13258]) ).
thf(f20481,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_193
| ~ spl0_223
| ~ spl0_283 ),
inference(trivial_inequality_removal,[],[f20479]) ).
thf(f20512,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_207
| ~ spl0_310 ),
inference(constrained_superposition,[],[f18261,f17238]) ).
thf(f20515,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_207
| ~ spl0_310 ),
inference(trivial_inequality_removal,[],[f20512]) ).
thf(f20517,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_207
| ~ spl0_221
| ~ spl0_227
| ~ spl0_310 ),
inference(forward_subsumption_resolution,[],[f20515,f19300]) ).
thf(f20606,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
!= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= X0 ) )
| ~ spl0_207
| ~ spl0_221
| ~ spl0_227
| ~ spl0_310 ),
inference(constrained_superposition,[],[f30,f20517]) ).
thf(f20664,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_207
| ~ spl0_221
| ~ spl0_227
| ~ spl0_310 ),
inference(equality_resolution,[],[f20606]) ).
thf(f20665,plain,
( spl0_252
| ~ spl0_207
| ~ spl0_221
| ~ spl0_227
| ~ spl0_310 ),
inference(avatar_split_clause,[],[f20664,f17237,f13513,f13250,f11939,f14328]) ).
thf(f20668,plain,
( $false
| ~ spl0_4
| ~ spl0_36
| ~ spl0_245
| ~ spl0_270 ),
inference(forward_subsumption_resolution,[],[f14681,f20412]) ).
thf(f20669,plain,
( ~ spl0_4
| ~ spl0_36
| ~ spl0_245
| ~ spl0_270 ),
inference(avatar_contradiction_clause,[],[f20668]) ).
thf(f20674,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_113
| ~ spl0_157
| ~ spl0_193 ),
inference(forward_subsumption_resolution,[],[f20200,f27]) ).
thf(f20675,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z = X0 )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) )
| ~ spl0_1
| ~ spl0_165 ),
inference(forward_subsumption_resolution,[],[f15309,f27]) ).
thf(f20676,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_116 ),
inference(avatar_component_clause,[],[f5761]) ).
thf(f20677,plain,
( spl0_153
| ~ spl0_116
| ~ spl0_84
| ~ spl0_89
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f20381,f5717,f2065,f1735,f5761,f6100]) ).
thf(f20679,plain,
( spl0_307
| ~ spl0_113
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f19304,f6123,f5710,f17196]) ).
thf(f20683,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_193
| ~ spl0_223
| ~ spl0_283 ),
inference(forward_subsumption_resolution,[],[f20481,f27]) ).
thf(f20684,plain,
( spl0_307
| ~ spl0_157
| ~ spl0_245 ),
inference(avatar_split_clause,[],[f20430,f13925,f6123,f17196]) ).
thf(f20686,definition,
( spl0_346
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_346])],[avatar_definition]) ).
thf(f20687,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_346 ),
inference(avatar_component_clause,[],[f20686]) ).
thf(f20688,plain,
( spl0_139
| spl0_346
| ~ spl0_167
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f19430,f5809,f6956,f20686,f5842]) ).
thf(f20691,plain,
( ~ spl0_134
| spl0_145
| ~ spl0_113
| ~ spl0_157
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f20674,f9095,f6123,f5710,f5894,f5824]) ).
thf(f20692,plain,
( spl0_134
| spl0_184
| ~ spl0_153
| ~ spl0_1
| ~ spl0_165 ),
inference(avatar_split_clause,[],[f20675,f6589,f61,f6100,f8211,f5824]) ).
thf(f20694,plain,
( spl0_145
| ~ spl0_134
| ~ spl0_193
| ~ spl0_223
| ~ spl0_283 ),
inference(avatar_split_clause,[],[f20683,f15012,f13257,f9095,f5824,f5894]) ).
thf(f20697,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_230 ),
inference(avatar_component_clause,[],[f13617]) ).
thf(f20699,plain,
( ~ spl0_33
| spl0_150
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f19105,f9710,f6039,f351]) ).
thf(f20701,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_139 ),
inference(avatar_component_clause,[],[f5842]) ).
thf(f20704,plain,
( spl0_139
| ~ spl0_32
| ~ spl0_33
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f19315,f9024,f351,f348,f5842]) ).
thf(f20711,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| spl0_53
| ~ spl0_137 ),
inference(forward_subsumption_resolution,[],[f19422,f6439]) ).
thf(f20717,plain,
( ~ spl0_33
| spl0_171
| spl0_53
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f20711,f5835,f728,f7664,f351]) ).
thf(f20718,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_150 ),
inference(avatar_component_clause,[],[f6039]) ).
thf(f20719,plain,
( spl0_121
| ~ spl0_150
| ~ spl0_84
| ~ spl0_165 ),
inference(avatar_split_clause,[],[f20368,f6589,f1735,f6039,f5778]) ).
thf(f20720,plain,
( ~ spl0_124
| spl0_121
| ~ spl0_84
| ~ spl0_89
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f20384,f5710,f2065,f1735,f5778,f5788]) ).
thf(f20754,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_10
| ~ spl0_126 ),
inference(constrained_superposition,[],[f166,f13163]) ).
thf(f20759,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_10
| ~ spl0_126 ),
inference(trivial_inequality_removal,[],[f20754]) ).
thf(f20779,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_10
| spl0_53
| ~ spl0_126 ),
inference(forward_subsumption_resolution,[],[f20759,f6439]) ).
thf(f20783,plain,
( spl0_277
| ~ spl0_10
| spl0_53
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f20779,f5794,f728,f154,f14782]) ).
thf(f20790,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_98
| ~ spl0_121 ),
inference(constrained_superposition,[],[f2398,f5779]) ).
thf(f20795,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_98
| ~ spl0_121 ),
inference(trivial_inequality_removal,[],[f20790]) ).
thf(f20802,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_134
| ~ spl0_193 ),
inference(constrained_superposition,[],[f19708,f5825]) ).
thf(f20807,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_134
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f20802]) ).
thf(f20809,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_124
| ~ spl0_245 ),
inference(constrained_superposition,[],[f20411,f5789]) ).
thf(f20813,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_124
| ~ spl0_245 ),
inference(trivial_inequality_removal,[],[f20809]) ).
thf(f20818,plain,
( spl0_183
| ~ spl0_124
| ~ spl0_245 ),
inference(avatar_split_clause,[],[f20813,f13925,f5788,f8091]) ).
thf(f20876,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_193
| spl0_230 ),
inference(constrained_superposition,[],[f20697,f9096]) ).
thf(f20878,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_193
| spl0_230 ),
inference(trivial_inequality_removal,[],[f20876]) ).
thf(f20880,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_193
| spl0_230 ),
inference(forward_subsumption_resolution,[],[f20878,f27]) ).
thf(f20881,plain,
( spl0_250
| spl0_283
| ~ spl0_193
| spl0_230 ),
inference(avatar_split_clause,[],[f20880,f13617,f9095,f15012,f14295]) ).
thf(f20882,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_223
| ~ spl0_230 ),
inference(constrained_superposition,[],[f18276,f13618]) ).
thf(f20883,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_230
| ~ spl0_245 ),
inference(constrained_superposition,[],[f20411,f13618]) ).
thf(f20884,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_36
| ~ spl0_230 ),
inference(constrained_superposition,[],[f400,f13618]) ).
thf(f20887,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_36
| ~ spl0_230 ),
inference(trivial_inequality_removal,[],[f20884]) ).
thf(f20890,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_230
| ~ spl0_245 ),
inference(trivial_inequality_removal,[],[f20883]) ).
thf(f20891,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_223
| ~ spl0_230 ),
inference(trivial_inequality_removal,[],[f20882]) ).
thf(f20892,plain,
( spl0_344
| ~ spl0_230
| ~ spl0_245 ),
inference(avatar_split_clause,[],[f20890,f13925,f13617,f19712]) ).
thf(f20893,plain,
( spl0_344
| ~ spl0_223
| ~ spl0_230 ),
inference(avatar_split_clause,[],[f20891,f13617,f13257,f19712]) ).
thf(f20894,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_98
| ~ spl0_121
| ~ spl0_223 ),
inference(constrained_superposition,[],[f20795,f13258]) ).
thf(f20900,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_98
| ~ spl0_121
| ~ spl0_223 ),
inference(trivial_inequality_removal,[],[f20894]) ).
thf(f21177,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_195 ),
inference(constrained_superposition,[],[f9161,f73]) ).
thf(f21180,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f21177]) ).
thf(f21185,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_346 ),
inference(constrained_superposition,[],[f20687,f34]) ).
thf(f21195,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_346 ),
inference(trivial_inequality_removal,[],[f21185]) ).
thf(f21212,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_129 ),
inference(constrained_superposition,[],[f5805,f264]) ).
thf(f21214,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_129 ),
inference(trivial_inequality_removal,[],[f21212]) ).
thf(f21220,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_129
| spl0_139 ),
inference(forward_subsumption_resolution,[],[f21214,f20701]) ).
thf(f21221,plain,
( ~ spl0_24
| ~ spl0_118
| ~ spl0_129
| spl0_139 ),
inference(avatar_split_clause,[],[f21220,f5842,f5804,f5767,f319]) ).
thf(f21268,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_304 ),
inference(constrained_superposition,[],[f16995,f34]) ).
thf(f21272,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_304 ),
inference(constrained_superposition,[],[f16995,f73]) ).
thf(f21273,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_304 ),
inference(trivial_inequality_removal,[],[f21268]) ).
thf(f21279,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_304 ),
inference(trivial_inequality_removal,[],[f21272]) ).
thf(f21323,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_265 ),
inference(constrained_superposition,[],[f14663,f264]) ).
thf(f21330,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f21323]) ).
thf(f21388,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_318 ),
inference(constrained_superposition,[],[f17681,f73]) ).
thf(f21390,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) )
| ~ spl0_318 ),
inference(trivial_inequality_removal,[],[f21388]) ).
thf(f21395,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| spl0_210
| ~ spl0_318 ),
inference(forward_subsumption_resolution,[],[f21390,f16564]) ).
thf(f21397,definition,
( spl0_347
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_347])],[avatar_definition]) ).
thf(f21398,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_347 ),
inference(avatar_component_clause,[],[f21397]) ).
thf(f21399,plain,
( spl0_347
| ~ spl0_33
| spl0_210
| ~ spl0_318 ),
inference(avatar_split_clause,[],[f21395,f17680,f12945,f351,f21397]) ).
thf(f21472,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_134
| ~ spl0_193
| ~ spl0_225 ),
inference(constrained_superposition,[],[f20807,f13265]) ).
thf(f21475,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_134
| ~ spl0_193
| ~ spl0_225 ),
inference(trivial_inequality_removal,[],[f21472]) ).
thf(f21484,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_197
| spl0_253 ),
inference(constrained_superposition,[],[f17426,f9372]) ).
thf(f21485,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_197
| ~ spl0_223 ),
inference(constrained_superposition,[],[f18276,f9372]) ).
thf(f21490,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_197
| spl0_253 ),
inference(trivial_inequality_removal,[],[f21484]) ).
thf(f21501,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_197
| ~ spl0_223 ),
inference(trivial_inequality_removal,[],[f21485]) ).
thf(f21504,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_197
| spl0_253 ),
inference(forward_subsumption_resolution,[],[f21490,f27]) ).
thf(f21508,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_98
| ~ spl0_121
| ~ spl0_197
| ~ spl0_223 ),
inference(forward_subsumption_resolution,[],[f21501,f20900]) ).
thf(f21510,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_98
| ~ spl0_121
| ~ spl0_197
| ~ spl0_223
| spl0_253 ),
inference(forward_subsumption_resolution,[],[f21504,f20900]) ).
thf(f21511,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_98
| ~ spl0_121
| ~ spl0_197
| ~ spl0_223 ),
inference(forward_subsumption_resolution,[],[f21508,f27]) ).
thf(f21512,plain,
( spl0_252
| ~ spl0_98
| ~ spl0_121
| ~ spl0_197
| ~ spl0_223
| spl0_253 ),
inference(avatar_split_clause,[],[f21510,f14340,f13257,f9371,f5778,f2397,f14328]) ).
thf(f21513,plain,
( spl0_252
| spl0_315
| ~ spl0_98
| ~ spl0_121
| ~ spl0_197
| ~ spl0_223 ),
inference(avatar_split_clause,[],[f21511,f13257,f9371,f5778,f2397,f17416,f14328]) ).
thf(f21515,plain,
( ~ spl0_232
| ~ spl0_36
| ~ spl0_230 ),
inference(avatar_split_clause,[],[f20887,f13617,f399,f13624]) ).
thf(f21518,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_134
| ~ spl0_193
| ~ spl0_225 ),
inference(forward_subsumption_resolution,[],[f21475,f27]) ).
thf(f21520,plain,
( spl0_252
| spl0_283
| ~ spl0_197
| spl0_253 ),
inference(avatar_split_clause,[],[f21504,f14340,f9371,f15012,f14328]) ).
thf(f21521,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| spl0_153
| ~ spl0_346 ),
inference(forward_subsumption_resolution,[],[f21195,f8213]) ).
thf(f21524,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| spl0_283 ),
inference(avatar_component_clause,[],[f15012]) ).
thf(f21525,plain,
( ~ spl0_283
| spl0_250
| ~ spl0_134
| ~ spl0_193
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f21518,f13264,f9095,f5824,f14295,f15012]) ).
thf(f21527,plain,
( ~ spl0_14
| ~ spl0_24
| spl0_153
| ~ spl0_346 ),
inference(avatar_split_clause,[],[f21521,f20686,f6100,f319,f192]) ).
thf(f21553,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| spl0_233 ),
inference(constrained_superposition,[],[f13630,f35]) ).
thf(f21555,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| spl0_233 ),
inference(trivial_inequality_removal,[],[f21553]) ).
thf(f21564,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_4
| ~ spl0_193
| ~ spl0_210 ),
inference(constrained_superposition,[],[f20180,f12946]) ).
thf(f21577,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_4
| ~ spl0_193
| ~ spl0_210 ),
inference(trivial_inequality_removal,[],[f21564]) ).
thf(f21579,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_4
| ~ spl0_193
| ~ spl0_210 ),
inference(forward_subsumption_resolution,[],[f21577,f27]) ).
thf(f21580,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_4
| ~ spl0_193
| ~ spl0_210
| ~ spl0_283 ),
inference(forward_subsumption_resolution,[],[f21579,f15013]) ).
thf(f21581,plain,
( spl0_250
| ~ spl0_4
| ~ spl0_193
| ~ spl0_210
| ~ spl0_283 ),
inference(avatar_split_clause,[],[f21580,f15012,f12945,f9095,f96,f14295]) ).
thf(f21598,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_262
| ~ spl0_344 ),
inference(constrained_superposition,[],[f19713,f14653]) ).
thf(f21604,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_262
| ~ spl0_344 ),
inference(trivial_inequality_removal,[],[f21598]) ).
thf(f21605,plain,
( $false
| ~ spl0_26
| ~ spl0_262
| ~ spl0_344 ),
inference(forward_subsumption_resolution,[],[f21604,f327]) ).
thf(f21606,plain,
( ~ spl0_26
| ~ spl0_262
| ~ spl0_344 ),
inference(avatar_contradiction_clause,[],[f21605]) ).
thf(f21752,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_4
| ~ spl0_36
| ~ spl0_193
| ~ spl0_232 ),
inference(constrained_superposition,[],[f19707,f13625]) ).
thf(f21753,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_4
| ~ spl0_232 ),
inference(constrained_superposition,[],[f145,f13625]) ).
thf(f21756,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_4
| ~ spl0_232 ),
inference(trivial_inequality_removal,[],[f21753]) ).
thf(f21758,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_4
| ~ spl0_36
| ~ spl0_193
| ~ spl0_232 ),
inference(trivial_inequality_removal,[],[f21752]) ).
thf(f21762,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_4
| ~ spl0_36
| ~ spl0_193
| ~ spl0_232 ),
inference(forward_subsumption_resolution,[],[f21758,f27]) ).
thf(f21763,plain,
( spl0_250
| ~ spl0_4
| ~ spl0_36
| ~ spl0_193
| ~ spl0_232 ),
inference(avatar_split_clause,[],[f21762,f13624,f9095,f399,f96,f14295]) ).
thf(f21765,plain,
( spl0_283
| spl0_233 ),
inference(avatar_split_clause,[],[f21555,f13629,f15012]) ).
thf(f21767,plain,
( spl0_121
| ~ spl0_24
| ~ spl0_43
| ~ spl0_304 ),
inference(avatar_split_clause,[],[f21273,f16994,f522,f319,f5778]) ).
thf(f21771,plain,
( spl0_131
| ~ spl0_33
| ~ spl0_32
| ~ spl0_304 ),
inference(avatar_split_clause,[],[f21279,f16994,f348,f351,f5812]) ).
thf(f21773,plain,
( ~ spl0_300
| spl0_294
| ~ spl0_32
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f21330,f14662,f348,f16649,f16745]) ).
thf(f21776,plain,
( ~ spl0_32
| ~ spl0_33
| spl0_31
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f19401,f1852,f345,f351,f348]) ).
thf(f21781,plain,
( ~ spl0_283
| ~ spl0_4
| ~ spl0_232 ),
inference(avatar_split_clause,[],[f21756,f13624,f96,f15012]) ).
thf(f21863,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_128 ),
inference(constrained_superposition,[],[f5802,f26]) ).
thf(f21865,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_128 ),
inference(trivial_inequality_removal,[],[f21863]) ).
thf(f21867,plain,
( spl0_144
| spl0_143
| spl0_128 ),
inference(avatar_split_clause,[],[f21865,f5801,f5860,f5891]) ).
thf(f22006,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_114
| ~ spl0_158 ),
inference(constrained_superposition,[],[f6129,f5715]) ).
thf(f22010,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_85
| ~ spl0_114 ),
inference(constrained_superposition,[],[f1853,f5715]) ).
thf(f22011,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_27
| ~ spl0_114 ),
inference(constrained_superposition,[],[f331,f5715]) ).
thf(f22016,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_1
| ~ spl0_114 ),
inference(constrained_superposition,[],[f7954,f5715]) ).
thf(f22018,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_114
| ~ spl0_186 ),
inference(constrained_superposition,[],[f8976,f5715]) ).
thf(f22019,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_114
| ~ spl0_201 ),
inference(constrained_superposition,[],[f10121,f5715]) ).
thf(f22020,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_114
| ~ spl0_302 ),
inference(constrained_superposition,[],[f16843,f5715]) ).
thf(f22037,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_114
| ~ spl0_201 ),
inference(trivial_inequality_removal,[],[f22019]) ).
thf(f22042,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_85
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f22010]) ).
thf(f22051,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_114
| ~ spl0_186 ),
inference(trivial_inequality_removal,[],[f22018]) ).
thf(f22053,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_114
| ~ spl0_302 ),
inference(trivial_inequality_removal,[],[f22020]) ).
thf(f22058,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_27
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f22011]) ).
thf(f22059,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_1
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f22016]) ).
thf(f22060,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_114
| ~ spl0_158 ),
inference(trivial_inequality_removal,[],[f22006]) ).
thf(f22067,plain,
( ~ spl0_127
| ~ spl0_132
| ~ spl0_114
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f22037,f10120,f5714,f5816,f5797]) ).
thf(f22070,plain,
( ~ spl0_136
| ~ spl0_125
| ~ spl0_114
| ~ spl0_302 ),
inference(avatar_split_clause,[],[f22053,f16842,f5714,f5791,f5831]) ).
thf(f22071,plain,
( spl0_140
| ~ spl0_118
| ~ spl0_114
| ~ spl0_158 ),
inference(avatar_split_clause,[],[f22060,f6128,f5714,f5767,f5846]) ).
thf(f22078,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_54
| ~ spl0_114 ),
inference(constrained_superposition,[],[f732,f5715]) ).
thf(f22083,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_54
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f22078]) ).
thf(f22134,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_253
| ~ spl0_307 ),
inference(constrained_superposition,[],[f17197,f14341]) ).
thf(f22141,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_253
| ~ spl0_307 ),
inference(trivial_inequality_removal,[],[f22134]) ).
thf(f22142,plain,
( $false
| ~ spl0_253
| ~ spl0_283
| ~ spl0_307 ),
inference(forward_subsumption_resolution,[],[f22141,f15013]) ).
thf(f22143,plain,
( ~ spl0_253
| ~ spl0_283
| ~ spl0_307 ),
inference(avatar_contradiction_clause,[],[f22142]) ).
thf(f22146,plain,
( ~ spl0_128
| ~ spl0_54
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f22083,f5714,f731,f5801]) ).
thf(f22149,plain,
( spl0_202
| ~ spl0_119
| ~ spl0_114
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f22051,f8975,f5714,f5771,f10392]) ).
thf(f22150,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_1
| ~ spl0_114 ),
inference(forward_subsumption_resolution,[],[f22059,f27]) ).
thf(f22154,plain,
( ~ spl0_118
| ~ spl0_167
| spl0_116
| ~ spl0_85
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f22042,f5714,f1852,f5761,f6956,f5767]) ).
thf(f22156,definition,
( spl0_350
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_350])],[avatar_definition]) ).
thf(f22157,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_350 ),
inference(avatar_component_clause,[],[f22156]) ).
thf(f22158,plain,
( ~ spl0_126
| spl0_116
| spl0_350
| ~ spl0_27
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f22058,f5714,f330,f22156,f5761,f5794]) ).
thf(f22163,plain,
( spl0_157
| spl0_134
| ~ spl0_122
| ~ spl0_1
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f22150,f5714,f61,f5781,f5824,f6123]) ).
thf(f22167,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_26
| ~ spl0_98 ),
inference(constrained_superposition,[],[f2398,f327]) ).
thf(f22170,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_26
| ~ spl0_98 ),
inference(trivial_inequality_removal,[],[f22167]) ).
thf(f22214,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_148
| ~ spl0_307 ),
inference(constrained_superposition,[],[f17197,f6032]) ).
thf(f22220,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_148
| ~ spl0_307 ),
inference(trivial_inequality_removal,[],[f22214]) ).
thf(f22221,plain,
( $false
| ~ spl0_4
| ~ spl0_148
| ~ spl0_307 ),
inference(forward_subsumption_resolution,[],[f22220,f97]) ).
thf(f22222,plain,
( ~ spl0_4
| ~ spl0_148
| ~ spl0_307 ),
inference(avatar_contradiction_clause,[],[f22221]) ).
thf(f22248,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_26
| ~ spl0_98
| ~ spl0_264 ),
inference(constrained_superposition,[],[f22170,f14660]) ).
thf(f22253,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_26
| ~ spl0_98
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f22248]) ).
thf(f22260,plain,
( $false
| ~ spl0_26
| ~ spl0_98
| ~ spl0_264
| ~ spl0_331 ),
inference(forward_subsumption_resolution,[],[f18878,f22253]) ).
thf(f22261,plain,
( ~ spl0_26
| ~ spl0_98
| ~ spl0_264
| ~ spl0_331 ),
inference(avatar_contradiction_clause,[],[f22260]) ).
thf(f22280,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_89
| ~ spl0_256 ),
inference(constrained_superposition,[],[f2066,f14526]) ).
thf(f22283,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_89
| ~ spl0_256 ),
inference(trivial_inequality_removal,[],[f22280]) ).
thf(f22284,plain,
( spl0_344
| ~ spl0_89
| ~ spl0_256 ),
inference(avatar_split_clause,[],[f22283,f14525,f2065,f19712]) ).
thf(f22285,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true ) )
| spl0_143
| ~ spl0_156 ),
inference(forward_subsumption_resolution,[],[f9877,f6600]) ).
thf(f22290,plain,
( spl0_131
| ~ spl0_33
| ~ spl0_9
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f21180,f9160,f130,f351,f5812]) ).
thf(f22299,definition,
( spl0_353
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_353])],[avatar_definition]) ).
thf(f22300,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_353 ),
inference(avatar_component_clause,[],[f22299]) ).
thf(f22301,plain,
( spl0_353
| spl0_4
| spl0_6
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f11229,f61,f103,f96,f22299]) ).
thf(f22305,definition,
( spl0_354
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_354])],[avatar_definition]) ).
thf(f22306,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_354 ),
inference(avatar_component_clause,[],[f22305]) ).
thf(f22323,plain,
( spl0_192
| ~ spl0_9
| spl0_143
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f22285,f6120,f5860,f130,f9036]) ).
thf(f22343,definition,
( spl0_358
<=> ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_358])],[avatar_definition]) ).
thf(f22344,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_358 ),
inference(avatar_component_clause,[],[f22343]) ).
thf(f22375,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_53 ),
inference(constrained_superposition,[],[f28,f729]) ).
thf(f22376,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_53 ),
inference(trivial_inequality_removal,[],[f22375]) ).
thf(f22383,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_98
| ~ spl0_121 ),
inference(constrained_superposition,[],[f2398,f5779]) ).
thf(f22385,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_98
| ~ spl0_121 ),
inference(trivial_inequality_removal,[],[f22383]) ).
thf(f22394,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| spl0_143
| ~ spl0_358 ),
inference(constrained_superposition,[],[f6600,f22344]) ).
thf(f22397,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_143
| ~ spl0_358 ),
inference(trivial_inequality_removal,[],[f22394]) ).
thf(f22399,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| spl0_143
| ~ spl0_358 ),
inference(forward_subsumption_resolution,[],[f22397,f27]) ).
thf(f22401,plain,
( spl0_134
| spl0_144
| spl0_143
| ~ spl0_358 ),
inference(avatar_split_clause,[],[f22399,f22343,f5860,f5891,f5824]) ).
thf(f22402,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_6
| ~ spl0_98 ),
inference(constrained_superposition,[],[f2398,f104]) ).
thf(f22404,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_6
| ~ spl0_98 ),
inference(trivial_inequality_removal,[],[f22402]) ).
thf(f22406,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ X0 @ z )
= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true != $true ) )
| ~ spl0_1
| spl0_153 ),
inference(constrained_superposition,[],[f8213,f8168]) ).
thf(f22407,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ z )
= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) )
| ~ spl0_1
| spl0_153 ),
inference(trivial_inequality_removal,[],[f22406]) ).
thf(f22417,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_17
| ~ spl0_119 ),
inference(constrained_superposition,[],[f20130,f11885]) ).
thf(f22420,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_119 ),
inference(constrained_superposition,[],[f29,f11885]) ).
thf(f22423,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X2 @ z )
!= $true ) )
| ~ spl0_119 ),
inference(trivial_inequality_removal,[],[f22420]) ).
thf(f22431,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_17
| ~ spl0_119 ),
inference(trivial_inequality_removal,[],[f22417]) ).
thf(f22448,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_6
| ~ spl0_53
| ~ spl0_98 ),
inference(constrained_superposition,[],[f22404,f729]) ).
thf(f22451,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_6
| ~ spl0_53
| ~ spl0_98 ),
inference(trivial_inequality_removal,[],[f22448]) ).
thf(f22456,plain,
( ~ spl0_157
| ~ spl0_6
| ~ spl0_53
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f22451,f2397,f728,f103,f6123]) ).
thf(f22457,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_1
| spl0_153 ),
inference(forward_subsumption_resolution,[],[f22407,f27]) ).
thf(f22458,plain,
( spl0_197
| spl0_157
| ~ spl0_1
| spl0_153 ),
inference(avatar_split_clause,[],[f22457,f6100,f61,f6123,f9371]) ).
thf(f22522,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_132 ),
inference(constrained_superposition,[],[f5817,f26]) ).
thf(f22524,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_132 ),
inference(trivial_inequality_removal,[],[f22522]) ).
thf(f22528,plain,
( spl0_139
| spl0_145
| spl0_132 ),
inference(avatar_split_clause,[],[f22524,f5816,f5894,f5842]) ).
thf(f22536,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_6
| ~ spl0_98
| ~ spl0_232 ),
inference(constrained_superposition,[],[f22404,f13625]) ).
thf(f22538,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_6
| ~ spl0_98
| ~ spl0_232 ),
inference(trivial_inequality_removal,[],[f22536]) ).
thf(f22543,plain,
( ~ spl0_283
| ~ spl0_6
| ~ spl0_98
| ~ spl0_232 ),
inference(avatar_split_clause,[],[f22538,f13624,f2397,f103,f15012]) ).
thf(f22574,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_216 ),
inference(constrained_superposition,[],[f13201,f73]) ).
thf(f22576,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_216 ),
inference(trivial_inequality_removal,[],[f22574]) ).
thf(f22664,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_98
| ~ spl0_121
| ~ spl0_139 ),
inference(constrained_superposition,[],[f22385,f5843]) ).
thf(f22668,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_98
| ~ spl0_121
| ~ spl0_139 ),
inference(trivial_inequality_removal,[],[f22664]) ).
thf(f22670,plain,
( $false
| ~ spl0_22
| ~ spl0_98
| ~ spl0_121
| ~ spl0_139 ),
inference(forward_subsumption_resolution,[],[f22668,f313]) ).
thf(f22671,plain,
( ~ spl0_22
| ~ spl0_98
| ~ spl0_121
| ~ spl0_139 ),
inference(avatar_contradiction_clause,[],[f22670]) ).
thf(f22672,plain,
( ~ spl0_9
| spl0_148
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f22576,f13200,f6031,f130]) ).
thf(f22679,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_26
| ~ spl0_98 ),
inference(constrained_superposition,[],[f2398,f327]) ).
thf(f22682,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_26
| ~ spl0_98 ),
inference(trivial_inequality_removal,[],[f22679]) ).
thf(f22690,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_148 ),
inference(constrained_superposition,[],[f28,f6032]) ).
thf(f22692,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_148 ),
inference(trivial_inequality_removal,[],[f22690]) ).
thf(f22720,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_198 ),
inference(constrained_superposition,[],[f9711,f34]) ).
thf(f22725,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f22720]) ).
thf(f22731,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| spl0_153
| ~ spl0_198 ),
inference(forward_subsumption_resolution,[],[f22725,f8213]) ).
thf(f22732,plain,
( ~ spl0_9
| spl0_153
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f22731,f9710,f6100,f130]) ).
thf(f22733,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_236 ),
inference(constrained_superposition,[],[f13642,f74]) ).
thf(f22734,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| spl0_236 ),
inference(constrained_superposition,[],[f13642,f36]) ).
thf(f22737,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_236 ),
inference(trivial_inequality_removal,[],[f22734]) ).
thf(f22738,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_236 ),
inference(trivial_inequality_removal,[],[f22733]) ).
thf(f22740,plain,
( spl0_253
| spl0_145
| spl0_236 ),
inference(avatar_split_clause,[],[f22737,f13641,f5894,f14340]) ).
thf(f22741,plain,
( spl0_253
| spl0_152
| spl0_236 ),
inference(avatar_split_clause,[],[f22738,f13641,f6070,f14340]) ).
thf(f22746,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_166
| ~ spl0_253 ),
inference(constrained_superposition,[],[f6667,f14341]) ).
thf(f22749,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_166
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f22746]) ).
thf(f22750,plain,
( $false
| ~ spl0_166
| ~ spl0_232
| ~ spl0_253 ),
inference(forward_subsumption_resolution,[],[f22749,f13625]) ).
thf(f22751,plain,
( ~ spl0_166
| ~ spl0_232
| ~ spl0_253 ),
inference(avatar_contradiction_clause,[],[f22750]) ).
thf(f22752,plain,
( spl0_143
| ~ spl0_14
| ~ spl0_9
| ~ spl0_17
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f22431,f5771,f203,f130,f192,f5860]) ).
thf(f22756,plain,
( ( $true != $true )
| ~ spl0_60
| spl0_153 ),
inference(constrained_superposition,[],[f8213,f903]) ).
thf(f22761,plain,
( $false
| ~ spl0_60
| spl0_153 ),
inference(trivial_inequality_removal,[],[f22756]) ).
thf(f22762,plain,
( ~ spl0_60
| spl0_153 ),
inference(avatar_contradiction_clause,[],[f22761]) ).
thf(f22784,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_98
| ~ spl0_121
| ~ spl0_131 ),
inference(constrained_superposition,[],[f22385,f5813]) ).
thf(f22786,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_98
| ~ spl0_121
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f22784]) ).
thf(f22791,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ~ spl0_2
| ~ spl0_98
| ~ spl0_121
| ~ spl0_131 ),
inference(constrained_superposition,[],[f22786,f65]) ).
thf(f22795,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ~ spl0_2
| ~ spl0_98
| ~ spl0_121
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f22791]) ).
thf(f22798,plain,
( $false
| ~ spl0_2
| spl0_6
| ~ spl0_98
| ~ spl0_121
| ~ spl0_131 ),
inference(forward_subsumption_resolution,[],[f22795,f9093]) ).
thf(f22799,plain,
( ~ spl0_2
| spl0_6
| ~ spl0_98
| ~ spl0_121
| ~ spl0_131 ),
inference(avatar_contradiction_clause,[],[f22798]) ).
thf(f22800,plain,
( spl0_86
| ~ spl0_24
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f17052,f309,f319,f1856]) ).
thf(f22829,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_26
| ~ spl0_98
| ~ spl0_230 ),
inference(constrained_superposition,[],[f22682,f13618]) ).
thf(f22832,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_26
| ~ spl0_98
| ~ spl0_230 ),
inference(trivial_inequality_removal,[],[f22829]) ).
thf(f22836,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_116 ),
inference(constrained_superposition,[],[f28,f5762]) ).
thf(f22838,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_116 ),
inference(trivial_inequality_removal,[],[f22836]) ).
thf(f22853,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_112
| ~ spl0_135 ),
inference(constrained_superposition,[],[f5828,f5708]) ).
thf(f22855,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_27
| ~ spl0_112 ),
inference(constrained_superposition,[],[f331,f5708]) ).
thf(f22861,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_112 ),
inference(constrained_superposition,[],[f1024,f5708]) ).
thf(f22862,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_112 ),
inference(constrained_superposition,[],[f1169,f5708]) ).
thf(f22864,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_112 ),
inference(constrained_superposition,[],[f184,f5708]) ).
thf(f22865,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_112 ),
inference(constrained_superposition,[],[f88,f5708]) ).
thf(f22871,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_112
| ~ spl0_135 ),
inference(trivial_inequality_removal,[],[f22853]) ).
thf(f22872,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f22864]) ).
thf(f22875,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_27
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f22855]) ).
thf(f22883,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f22865]) ).
thf(f22885,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f22861]) ).
thf(f22886,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f22862]) ).
thf(f22888,plain,
( spl0_131
| spl0_130
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f22872,f5707,f5809,f5812]) ).
thf(f22891,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_112
| spl0_139 ),
inference(forward_subsumption_resolution,[],[f22885,f20701]) ).
thf(f22895,plain,
( spl0_138
| ~ spl0_112
| spl0_139 ),
inference(avatar_split_clause,[],[f22891,f5842,f5707,f5839]) ).
thf(f22900,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_27
| ~ spl0_114 ),
inference(constrained_superposition,[],[f331,f5715]) ).
thf(f22902,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_17
| ~ spl0_114 ),
inference(constrained_superposition,[],[f20130,f5715]) ).
thf(f22904,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_114 ),
inference(constrained_superposition,[],[f298,f5715]) ).
thf(f22905,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_30
| ~ spl0_114 ),
inference(constrained_superposition,[],[f342,f5715]) ).
thf(f22906,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_41
| ~ spl0_114 ),
inference(constrained_superposition,[],[f506,f5715]) ).
thf(f22908,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_114 ),
inference(constrained_superposition,[],[f1169,f5715]) ).
thf(f22909,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_114 ),
inference(constrained_superposition,[],[f249,f5715]) ).
thf(f22910,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_114 ),
inference(constrained_superposition,[],[f184,f5715]) ).
thf(f22911,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_114 ),
inference(constrained_superposition,[],[f88,f5715]) ).
thf(f22913,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_114 ),
inference(constrained_superposition,[],[f47,f5715]) ).
thf(f22914,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_114 ),
inference(constrained_superposition,[],[f42,f5715]) ).
thf(f22918,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_30
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f22905]) ).
thf(f22921,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f22910]) ).
thf(f22922,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f22908]) ).
thf(f22923,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true ) )
| ~ spl0_27
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f22900]) ).
thf(f22924,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_41
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f22906]) ).
thf(f22925,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f22904]) ).
thf(f22926,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f22914]) ).
thf(f22927,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f22911]) ).
thf(f22929,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_17
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f22902]) ).
thf(f22930,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f22913]) ).
thf(f22931,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f22909]) ).
thf(f22934,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_30
| ~ spl0_114
| spl0_124 ),
inference(forward_subsumption_resolution,[],[f22918,f17331]) ).
thf(f22935,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_114
| spl0_124 ),
inference(forward_subsumption_resolution,[],[f22925,f17331]) ).
thf(f22937,plain,
( ~ spl0_128
| spl0_140
| ~ spl0_30
| ~ spl0_114
| spl0_124 ),
inference(avatar_split_clause,[],[f22934,f5788,f5714,f341,f5846,f5801]) ).
thf(f22938,plain,
( spl0_158
| ~ spl0_114
| spl0_124 ),
inference(avatar_split_clause,[],[f22935,f5788,f5714,f6128]) ).
thf(f22941,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_173 ),
inference(constrained_superposition,[],[f7727,f72]) ).
thf(f22951,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_173 ),
inference(trivial_inequality_removal,[],[f22941]) ).
thf(f22978,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_148
| ~ spl0_183 ),
inference(constrained_superposition,[],[f8092,f6032]) ).
thf(f22979,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_148
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f22978]) ).
thf(f22983,plain,
( ~ spl0_28
| ~ spl0_148
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f22979,f8091,f6031,f334]) ).
thf(f23002,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_251
| ~ spl0_309 ),
inference(constrained_superposition,[],[f17205,f14326]) ).
thf(f23005,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_251
| ~ spl0_309 ),
inference(trivial_inequality_removal,[],[f23002]) ).
thf(f23008,plain,
( $false
| ~ spl0_157
| ~ spl0_251
| ~ spl0_309 ),
inference(forward_subsumption_resolution,[],[f23005,f6124]) ).
thf(f23009,plain,
( ~ spl0_157
| ~ spl0_251
| ~ spl0_309 ),
inference(avatar_contradiction_clause,[],[f23008]) ).
thf(f23019,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_131
| ~ spl0_148 ),
inference(constrained_superposition,[],[f22692,f5813]) ).
thf(f23021,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_131
| ~ spl0_148 ),
inference(trivial_inequality_removal,[],[f23019]) ).
thf(f23024,plain,
( spl0_203
| ~ spl0_131
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f23021,f6031,f5812,f10785]) ).
thf(f23066,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_173
| ~ spl0_226 ),
inference(constrained_superposition,[],[f7727,f13268]) ).
thf(f23089,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_173
| ~ spl0_226 ),
inference(trivial_inequality_removal,[],[f23066]) ).
thf(f23100,plain,
( ~ spl0_233
| ~ spl0_173
| ~ spl0_226 ),
inference(avatar_split_clause,[],[f23089,f13267,f7726,f13629]) ).
thf(f23115,definition,
( spl0_360
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_360])],[avatar_definition]) ).
thf(f23116,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_360 ),
inference(avatar_component_clause,[],[f23115]) ).
thf(f23118,plain,
( spl0_143
| spl0_56
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f22883,f5707,f742,f5860]) ).
thf(f23120,plain,
( spl0_143
| ~ spl0_9
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f22951,f7726,f130,f5860]) ).
thf(f23132,plain,
( ~ spl0_283
| ~ spl0_26
| ~ spl0_98
| ~ spl0_230 ),
inference(avatar_split_clause,[],[f22832,f13617,f2397,f326,f15012]) ).
thf(f23133,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( s @ z )
= X0 )
| ( $true != $true ) )
| ~ spl0_35 ),
inference(constrained_superposition,[],[f388,f26]) ).
thf(f23140,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true ) )
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f23133]) ).
thf(f23155,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_310
| ~ spl0_353 ),
inference(constrained_superposition,[],[f22300,f17238]) ).
thf(f23166,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_310
| ~ spl0_353 ),
inference(trivial_inequality_removal,[],[f23155]) ).
thf(f23171,plain,
( spl0_270
| ~ spl0_310
| ~ spl0_353 ),
inference(avatar_split_clause,[],[f23166,f22299,f17237,f14680]) ).
thf(f23205,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_98
| ~ spl0_121
| ~ spl0_223 ),
inference(constrained_superposition,[],[f22385,f13258]) ).
thf(f23209,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_98
| ~ spl0_121
| ~ spl0_223 ),
inference(trivial_inequality_removal,[],[f23205]) ).
thf(f23212,plain,
( ~ spl0_283
| ~ spl0_98
| ~ spl0_121
| ~ spl0_223 ),
inference(avatar_split_clause,[],[f23209,f13257,f5778,f2397,f15012]) ).
thf(f23228,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f62,f26]) ).
thf(f23233,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ z @ X0 )
!= $true )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f23228]) ).
thf(f23239,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( z = X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_35 ),
inference(constrained_superposition,[],[f23140,f26]) ).
thf(f23240,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( z = X0 )
| ( ( r @ z @ X0 )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f23239]) ).
thf(f23243,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_131
| ~ spl0_165 ),
inference(constrained_superposition,[],[f6590,f5813]) ).
thf(f23245,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_131
| ~ spl0_165 ),
inference(trivial_inequality_removal,[],[f23243]) ).
thf(f23248,plain,
( $false
| ~ spl0_131
| ~ spl0_148
| ~ spl0_165 ),
inference(forward_subsumption_resolution,[],[f23245,f6032]) ).
thf(f23249,plain,
( ~ spl0_131
| ~ spl0_148
| ~ spl0_165 ),
inference(avatar_contradiction_clause,[],[f23248]) ).
thf(f23312,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_242 ),
inference(constrained_superposition,[],[f13679,f73]) ).
thf(f23318,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_242 ),
inference(trivial_inequality_removal,[],[f23312]) ).
thf(f23320,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| spl0_210
| ~ spl0_242 ),
inference(forward_subsumption_resolution,[],[f23318,f16564]) ).
thf(f23321,plain,
( ~ spl0_9
| ~ spl0_14
| spl0_210
| ~ spl0_242 ),
inference(avatar_split_clause,[],[f23320,f13678,f12945,f192,f130]) ).
thf(f23326,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_53
| ~ spl0_157 ),
inference(constrained_superposition,[],[f22376,f6124]) ).
thf(f23329,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_53
| ~ spl0_157 ),
inference(trivial_inequality_removal,[],[f23326]) ).
thf(f23330,plain,
( spl0_307
| ~ spl0_53
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f23329,f6123,f728,f17196]) ).
thf(f23372,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_120 ),
inference(constrained_superposition,[],[f5775,f264]) ).
thf(f23374,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_120 ),
inference(trivial_inequality_removal,[],[f23372]) ).
thf(f23509,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_116 ),
inference(constrained_superposition,[],[f22838,f5762]) ).
thf(f23511,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_116
| ~ spl0_143 ),
inference(constrained_superposition,[],[f22838,f5861]) ).
thf(f23512,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_116
| ~ spl0_143 ),
inference(trivial_inequality_removal,[],[f23511]) ).
thf(f23513,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_116 ),
inference(trivial_inequality_removal,[],[f23509]) ).
thf(f23515,plain,
( spl0_161
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f23513,f5761,f6436]) ).
thf(f23536,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_210
| ~ spl0_315 ),
inference(constrained_superposition,[],[f17417,f12946]) ).
thf(f23539,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_210
| ~ spl0_315 ),
inference(trivial_inequality_removal,[],[f23536]) ).
thf(f23541,plain,
( $false
| ~ spl0_148
| ~ spl0_210
| ~ spl0_315 ),
inference(forward_subsumption_resolution,[],[f23539,f6032]) ).
thf(f23542,plain,
( ~ spl0_148
| ~ spl0_210
| ~ spl0_315 ),
inference(avatar_contradiction_clause,[],[f23541]) ).
thf(f23568,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_17
| ~ spl0_224 ),
inference(constrained_superposition,[],[f20130,f13261]) ).
thf(f23600,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_17
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f23568]) ).
thf(f23621,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_226 ),
inference(constrained_superposition,[],[f1169,f13268]) ).
thf(f23627,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_226 ),
inference(constrained_superposition,[],[f42,f13268]) ).
thf(f23629,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) )
| ~ spl0_226 ),
inference(trivial_inequality_removal,[],[f23621]) ).
thf(f23631,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_226 ),
inference(trivial_inequality_removal,[],[f23627]) ).
thf(f23654,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_262
| ~ spl0_343 ),
inference(constrained_superposition,[],[f19653,f14653]) ).
thf(f23655,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_262
| ~ spl0_343 ),
inference(trivial_inequality_removal,[],[f23654]) ).
thf(f23710,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_222 ),
inference(constrained_superposition,[],[f1169,f13254]) ).
thf(f23727,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) )
| ~ spl0_222 ),
inference(trivial_inequality_removal,[],[f23710]) ).
thf(f23735,plain,
( spl0_260
| ~ spl0_261
| spl0_256
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f23727,f13253,f14525,f14648,f14645]) ).
thf(f23774,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_170 ),
inference(constrained_superposition,[],[f7394,f73]) ).
thf(f23775,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_170 ),
inference(trivial_inequality_removal,[],[f23774]) ).
thf(f23836,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_256
| ~ spl0_309 ),
inference(constrained_superposition,[],[f17205,f14526]) ).
thf(f23841,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_256
| ~ spl0_309 ),
inference(trivial_inequality_removal,[],[f23836]) ).
thf(f23844,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_19
| ~ spl0_35 ),
inference(constrained_superposition,[],[f1366,f23240]) ).
thf(f23845,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) ) )
| ~ spl0_35
| ~ spl0_89 ),
inference(constrained_superposition,[],[f2066,f23240]) ).
thf(f23851,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_35
| ~ spl0_89 ),
inference(trivial_inequality_removal,[],[f23845]) ).
thf(f23853,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_19
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f23844]) ).
thf(f23857,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_35
| spl0_37
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[],[f23851,f5656]) ).
thf(f23858,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_19
| ~ spl0_35
| spl0_37 ),
inference(forward_subsumption_resolution,[],[f23853,f5656]) ).
thf(f23859,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_35
| spl0_37
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[],[f23857,f27]) ).
thf(f23860,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_19
| ~ spl0_35
| spl0_37 ),
inference(forward_subsumption_resolution,[],[f23858,f27]) ).
thf(f23861,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| spl0_26
| ~ spl0_35
| spl0_37
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[],[f23859,f991]) ).
thf(f23862,plain,
( $false
| spl0_19
| spl0_26
| ~ spl0_35
| spl0_37 ),
inference(forward_subsumption_resolution,[],[f23860,f991]) ).
thf(f23863,plain,
( spl0_19
| spl0_26
| ~ spl0_35
| spl0_37 ),
inference(avatar_contradiction_clause,[],[f23862]) ).
thf(f23864,plain,
( spl0_36
| spl0_26
| ~ spl0_35
| spl0_37
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f23861,f2065,f411,f387,f326,f399]) ).
thf(f23865,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_13 ),
inference(constrained_superposition,[],[f190,f26]) ).
thf(f23869,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f23865]) ).
thf(f24255,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_298 ),
inference(constrained_superposition,[],[f16671,f73]) ).
thf(f24260,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_298 ),
inference(trivial_inequality_removal,[],[f24255]) ).
thf(f24268,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_86
| ~ spl0_114 ),
inference(constrained_superposition,[],[f1857,f5715]) ).
thf(f24274,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_86 ),
inference(constrained_superposition,[],[f1857,f73]) ).
thf(f24276,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_86
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f24268]) ).
thf(f24281,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_86 ),
inference(trivial_inequality_removal,[],[f24274]) ).
thf(f24287,plain,
( spl0_47
| ~ spl0_33
| ~ spl0_9
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f24281,f1856,f130,f351,f576]) ).
thf(f24294,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_119 ),
inference(constrained_superposition,[],[f22423,f264]) ).
thf(f24303,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_119 ),
inference(trivial_inequality_removal,[],[f24294]) ).
thf(f24306,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_119
| spl0_139 ),
inference(forward_subsumption_resolution,[],[f24303,f20701]) ).
thf(f24307,plain,
( spl0_73
| ~ spl0_119
| spl0_139 ),
inference(avatar_split_clause,[],[f24306,f5842,f5771,f1068]) ).
thf(f24379,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f94,f264]) ).
thf(f24389,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f24379]) ).
thf(f24408,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_130
| ~ spl0_224 ),
inference(constrained_superposition,[],[f5810,f13261]) ).
thf(f24414,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_130
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f24408]) ).
thf(f24420,definition,
( spl0_365
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_365])],[avatar_definition]) ).
thf(f24421,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_365 ),
inference(avatar_component_clause,[],[f24420]) ).
thf(f24422,plain,
( ~ spl0_236
| spl0_365
| ~ spl0_130
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f24414,f13260,f5809,f24420,f13641]) ).
thf(f24423,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_224
| ~ spl0_365 ),
inference(constrained_superposition,[],[f24421,f13261]) ).
thf(f24432,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_224
| ~ spl0_365 ),
inference(trivial_inequality_removal,[],[f24423]) ).
thf(f24439,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_114
| ~ spl0_224
| ~ spl0_365 ),
inference(forward_subsumption_resolution,[],[f24432,f5715]) ).
thf(f24440,plain,
( ~ spl0_128
| ~ spl0_114
| ~ spl0_224
| ~ spl0_365 ),
inference(avatar_split_clause,[],[f24439,f24420,f13260,f5714,f5801]) ).
thf(f24479,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_138
| ~ spl0_224 ),
inference(constrained_superposition,[],[f5840,f13261]) ).
thf(f24485,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_138
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f24479]) ).
thf(f24491,definition,
( spl0_366
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_366])],[avatar_definition]) ).
thf(f24492,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_366 ),
inference(avatar_component_clause,[],[f24491]) ).
thf(f24493,plain,
( spl0_366
| ~ spl0_236
| ~ spl0_138
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f24485,f13260,f5839,f13641,f24491]) ).
thf(f24494,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_224
| ~ spl0_366 ),
inference(constrained_superposition,[],[f24492,f13261]) ).
thf(f24509,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_224
| ~ spl0_366 ),
inference(trivial_inequality_removal,[],[f24494]) ).
thf(f24660,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_19
| ~ spl0_358 ),
inference(constrained_superposition,[],[f1366,f22344]) ).
thf(f24661,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true ) )
| ~ spl0_89
| ~ spl0_358 ),
inference(constrained_superposition,[],[f2066,f22344]) ).
thf(f24667,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_19
| ~ spl0_358 ),
inference(trivial_inequality_removal,[],[f24660]) ).
thf(f24671,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) ) )
| ~ spl0_89
| ~ spl0_358 ),
inference(trivial_inequality_removal,[],[f24661]) ).
thf(f24675,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| spl0_19
| spl0_37
| ~ spl0_358 ),
inference(forward_subsumption_resolution,[],[f24667,f5656]) ).
thf(f24677,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) ) )
| spl0_22
| ~ spl0_89
| ~ spl0_358 ),
inference(forward_subsumption_resolution,[],[f24671,f2068]) ).
thf(f24678,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| spl0_19
| spl0_37
| ~ spl0_358 ),
inference(forward_subsumption_resolution,[],[f24675,f27]) ).
thf(f24679,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| spl0_22
| ~ spl0_89
| ~ spl0_358 ),
inference(forward_subsumption_resolution,[],[f24677,f27]) ).
thf(f24680,plain,
( $false
| spl0_19
| spl0_22
| spl0_37
| ~ spl0_358 ),
inference(forward_subsumption_resolution,[],[f24678,f2068]) ).
thf(f24681,plain,
( spl0_19
| spl0_22
| spl0_37
| ~ spl0_358 ),
inference(avatar_contradiction_clause,[],[f24680]) ).
thf(f24682,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| spl0_22
| spl0_37
| ~ spl0_89
| ~ spl0_358 ),
inference(forward_subsumption_resolution,[],[f24679,f5656]) ).
thf(f24683,plain,
( spl0_36
| spl0_22
| spl0_37
| ~ spl0_89
| ~ spl0_358 ),
inference(avatar_split_clause,[],[f24682,f22343,f2065,f411,f312,f399]) ).
thf(f24688,plain,
( ~ spl0_119
| spl0_350
| spl0_124
| ~ spl0_27
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f22875,f5707,f330,f5788,f22156,f5771]) ).
thf(f24689,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_114
| ~ spl0_224
| ~ spl0_366 ),
inference(forward_subsumption_resolution,[],[f24509,f5715]) ).
thf(f24701,plain,
( spl0_203
| ~ spl0_116
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f23512,f5860,f5761,f10785]) ).
thf(f24710,plain,
( spl0_142
| ~ spl0_118
| spl0_139
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f22886,f5707,f5842,f5767,f5856]) ).
thf(f24712,plain,
( ~ spl0_6
| ~ spl0_262
| ~ spl0_343 ),
inference(avatar_split_clause,[],[f23655,f19652,f14652,f103]) ).
thf(f24715,plain,
( ~ spl0_128
| spl0_124
| ~ spl0_125
| ~ spl0_41
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f22924,f5714,f505,f5791,f5788,f5801]) ).
thf(f24716,plain,
( ~ spl0_167
| spl0_139
| ~ spl0_24
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f23374,f5774,f319,f5842,f6956]) ).
thf(f24717,plain,
( ~ spl0_128
| ~ spl0_136
| spl0_232
| ~ spl0_17
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f23600,f13260,f203,f13624,f5831,f5801]) ).
thf(f24718,plain,
( ~ spl0_119
| ~ spl0_125
| spl0_124
| ~ spl0_86
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f24276,f5714,f1856,f5788,f5791,f5771]) ).
thf(f24720,plain,
( ~ spl0_125
| ~ spl0_114
| ~ spl0_224
| ~ spl0_366 ),
inference(avatar_split_clause,[],[f24689,f24491,f13260,f5714,f5791]) ).
thf(f24721,plain,
( spl0_262
| spl0_284
| ~ spl0_226 ),
inference(avatar_split_clause,[],[f23631,f13267,f15231,f14652]) ).
thf(f24725,plain,
( spl0_154
| spl0_153
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f22926,f5714,f6100,f6103]) ).
thf(f24727,plain,
( ~ spl0_33
| ~ spl0_239
| spl0_292
| ~ spl0_298 ),
inference(avatar_split_clause,[],[f24260,f16670,f16634,f13653,f351]) ).
thf(f24731,plain,
( ~ spl0_125
| spl0_150
| spl0_162
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f22922,f5714,f6518,f6039,f5791]) ).
thf(f24734,plain,
( ~ spl0_22
| ~ spl0_256
| ~ spl0_309 ),
inference(avatar_split_clause,[],[f23841,f17204,f14525,f312]) ).
thf(f24735,plain,
( ~ spl0_119
| spl0_120
| ~ spl0_112
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f22871,f5827,f5707,f5774,f5771]) ).
thf(f24738,plain,
( spl0_256
| spl0_162
| ~ spl0_125
| ~ spl0_226 ),
inference(avatar_split_clause,[],[f23629,f13267,f5791,f6518,f14525]) ).
thf(f24746,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_22
| ~ spl0_89 ),
inference(constrained_superposition,[],[f2066,f313]) ).
thf(f24748,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_22
| ~ spl0_89 ),
inference(trivial_inequality_removal,[],[f24746]) ).
thf(f24820,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_22
| ~ spl0_89
| ~ spl0_116 ),
inference(constrained_superposition,[],[f24748,f5762]) ).
thf(f24821,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_22
| ~ spl0_89
| ~ spl0_230 ),
inference(constrained_superposition,[],[f24748,f13618]) ).
thf(f24824,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_22
| ~ spl0_89
| ~ spl0_116 ),
inference(trivial_inequality_removal,[],[f24820]) ).
thf(f24825,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_22
| ~ spl0_89
| ~ spl0_230 ),
inference(trivial_inequality_removal,[],[f24821]) ).
thf(f24833,plain,
( ~ spl0_134
| ~ spl0_22
| ~ spl0_89
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f24824,f5761,f2065,f312,f5824]) ).
thf(f24930,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_142 ),
inference(constrained_superposition,[],[f5857,f35]) ).
thf(f24935,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_142 ),
inference(trivial_inequality_removal,[],[f24930]) ).
thf(f25066,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_114
| ~ spl0_346 ),
inference(constrained_superposition,[],[f20687,f5715]) ).
thf(f25075,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_114
| ~ spl0_346 ),
inference(trivial_inequality_removal,[],[f25066]) ).
thf(f25081,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_120
| ~ spl0_224 ),
inference(constrained_superposition,[],[f5775,f13261]) ).
thf(f25090,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_120
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f25081]) ).
thf(f25092,plain,
( ~ spl0_236
| ~ spl0_233
| ~ spl0_120
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f25090,f13260,f5774,f13629,f13641]) ).
thf(f25094,plain,
( ~ spl0_283
| ~ spl0_22
| ~ spl0_89
| ~ spl0_230 ),
inference(avatar_split_clause,[],[f24825,f13617,f2065,f312,f15012]) ).
thf(f25117,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_22
| ~ spl0_89
| ~ spl0_124 ),
inference(constrained_superposition,[],[f24748,f5789]) ).
thf(f25121,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_22
| ~ spl0_89
| ~ spl0_124 ),
inference(trivial_inequality_removal,[],[f25117]) ).
thf(f25124,plain,
( ~ spl0_43
| spl0_157
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f24935,f5856,f6123,f522]) ).
thf(f25125,plain,
( ~ spl0_157
| ~ spl0_22
| ~ spl0_89
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f25121,f5788,f2065,f312,f6123]) ).
thf(f25131,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_126
| ~ spl0_353 ),
inference(constrained_superposition,[],[f22300,f13163]) ).
thf(f25133,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_5
| ~ spl0_126 ),
inference(constrained_superposition,[],[f101,f13163]) ).
thf(f25135,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_17
| ~ spl0_126 ),
inference(constrained_superposition,[],[f20130,f13163]) ).
thf(f25136,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_1
| ~ spl0_126 ),
inference(constrained_superposition,[],[f62,f13163]) ).
thf(f25141,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_126
| ~ spl0_353 ),
inference(trivial_inequality_removal,[],[f25131]) ).
thf(f25142,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_1
| ~ spl0_126 ),
inference(trivial_inequality_removal,[],[f25136]) ).
thf(f25143,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_5
| ~ spl0_126 ),
inference(duplicate_literal_removal,[],[f25133]) ).
thf(f25144,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_5
| ~ spl0_126 ),
inference(trivial_inequality_removal,[],[f25143]) ).
thf(f25145,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_17
| ~ spl0_126 ),
inference(trivial_inequality_removal,[],[f25135]) ).
thf(f25286,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_224
| ~ spl0_304 ),
inference(constrained_superposition,[],[f16995,f13261]) ).
thf(f25293,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_224
| ~ spl0_304 ),
inference(trivial_inequality_removal,[],[f25286]) ).
thf(f25298,plain,
( ~ spl0_300
| ~ spl0_235
| ~ spl0_224
| ~ spl0_304 ),
inference(avatar_split_clause,[],[f25293,f16994,f13260,f13636,f16745]) ).
thf(f25299,plain,
( spl0_148
| ~ spl0_33
| ~ spl0_9
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f23775,f7393,f130,f351,f6031]) ).
thf(f25301,plain,
( spl0_148
| spl0_147
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f22921,f5714,f6028,f6031]) ).
thf(f25303,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_27
| ~ spl0_114
| ~ spl0_126 ),
inference(forward_subsumption_resolution,[],[f22923,f13163]) ).
thf(f25311,plain,
( spl0_116
| spl0_350
| ~ spl0_27
| ~ spl0_114
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f25303,f5794,f5714,f330,f22156,f5761]) ).
thf(f25315,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f28,f335]) ).
thf(f25316,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f25315]) ).
thf(f25331,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| spl0_232
| ~ spl0_358 ),
inference(constrained_superposition,[],[f14727,f22344]) ).
thf(f25332,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| spl0_232
| ~ spl0_358 ),
inference(trivial_inequality_removal,[],[f25331]) ).
thf(f25333,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| spl0_232
| ~ spl0_358 ),
inference(forward_subsumption_resolution,[],[f25332,f27]) ).
thf(f25334,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| spl0_232
| spl0_283
| ~ spl0_358 ),
inference(forward_subsumption_resolution,[],[f25333,f21524]) ).
thf(f25335,plain,
( spl0_249
| spl0_232
| spl0_283
| ~ spl0_358 ),
inference(avatar_split_clause,[],[f25334,f22343,f15012,f13624,f14260]) ).
thf(f25385,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_249 ),
inference(constrained_superposition,[],[f264,f14261]) ).
thf(f25500,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_249 ),
inference(forward_subsumption_resolution,[],[f25385,f25]) ).
thf(f25527,plain,
( $false
| ~ spl0_249 ),
inference(forward_subsumption_resolution,[],[f25500,f31]) ).
thf(f25528,plain,
~ spl0_249,
inference(avatar_contradiction_clause,[],[f25527]) ).
thf(f25548,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_28
| ~ spl0_210 ),
inference(constrained_superposition,[],[f25316,f12946]) ).
thf(f25549,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_28
| ~ spl0_131 ),
inference(constrained_superposition,[],[f25316,f5813]) ).
thf(f25550,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f25316,f335]) ).
thf(f25551,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f25550]) ).
thf(f25552,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_28
| ~ spl0_210 ),
inference(trivial_inequality_removal,[],[f25548]) ).
thf(f25553,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_28
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f25549]) ).
thf(f25554,plain,
( spl0_36
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f25551,f334,f399]) ).
thf(f25555,plain,
( spl0_343
| ~ spl0_28
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f25552,f12945,f334,f19652]) ).
thf(f25556,plain,
( spl0_203
| ~ spl0_28
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f25553,f5812,f334,f10785]) ).
thf(f25558,plain,
( ~ spl0_128
| ~ spl0_132
| ~ spl0_114
| ~ spl0_346 ),
inference(avatar_split_clause,[],[f25075,f20686,f5714,f5816,f5801]) ).
thf(f25559,plain,
( ~ spl0_122
| spl0_216
| ~ spl0_1
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f25142,f5794,f61,f13200,f5781]) ).
thf(f25560,plain,
( ~ spl0_128
| spl0_159
| spl0_148
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f22931,f5714,f6031,f6180,f5801]) ).
thf(f25578,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_150
| ~ spl0_307 ),
inference(constrained_superposition,[],[f17197,f6040]) ).
thf(f25584,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_150
| ~ spl0_307 ),
inference(trivial_inequality_removal,[],[f25578]) ).
thf(f25586,plain,
( $false
| ~ spl0_22
| ~ spl0_150
| ~ spl0_307 ),
inference(forward_subsumption_resolution,[],[f25584,f313]) ).
thf(f25587,plain,
( ~ spl0_22
| ~ spl0_150
| ~ spl0_307 ),
inference(avatar_contradiction_clause,[],[f25586]) ).
thf(f25825,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_234 ),
inference(constrained_superposition,[],[f13633,f26]) ).
thf(f25828,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_234 ),
inference(trivial_inequality_removal,[],[f25825]) ).
thf(f25831,plain,
( spl0_251
| spl0_252
| spl0_234 ),
inference(avatar_split_clause,[],[f25828,f13632,f14328,f14325]) ).
thf(f25852,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_224 ),
inference(constrained_superposition,[],[f298,f13261]) ).
thf(f25856,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_224 ),
inference(constrained_superposition,[],[f1169,f13261]) ).
thf(f25860,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_224 ),
inference(constrained_superposition,[],[f88,f13261]) ).
thf(f25868,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f25852]) ).
thf(f25882,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f25856]) ).
thf(f25885,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f25860]) ).
thf(f25887,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| spl0_116
| ~ spl0_224 ),
inference(forward_subsumption_resolution,[],[f25868,f20676]) ).
thf(f25891,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| spl0_139
| ~ spl0_224 ),
inference(forward_subsumption_resolution,[],[f25882,f20701]) ).
thf(f25892,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| spl0_143
| ~ spl0_224 ),
inference(forward_subsumption_resolution,[],[f25885,f6600]) ).
thf(f25894,plain,
( spl0_318
| spl0_116
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f25887,f13260,f5761,f17680]) ).
thf(f25895,plain,
( ~ spl0_235
| spl0_321
| spl0_139
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f25891,f13260,f5842,f17962,f13636]) ).
thf(f25896,plain,
( spl0_360
| spl0_143
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f25892,f13260,f5860,f23115]) ).
thf(f25907,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_224
| ~ spl0_321 ),
inference(constrained_superposition,[],[f17963,f13261]) ).
thf(f25917,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_224
| ~ spl0_321 ),
inference(trivial_inequality_removal,[],[f25907]) ).
thf(f25921,plain,
( ~ spl0_125
| ~ spl0_224
| ~ spl0_321 ),
inference(avatar_split_clause,[],[f25917,f17962,f13260,f5791]) ).
thf(f25922,plain,
( spl0_19
| spl0_66
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f24389,f93,f1040,f302]) ).
thf(f25923,plain,
( spl0_151
| spl0_53
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f22927,f5714,f728,f6043]) ).
thf(f25925,plain,
( spl0_53
| ~ spl0_126
| ~ spl0_353 ),
inference(avatar_split_clause,[],[f25141,f22299,f5794,f728]) ).
thf(f25926,plain,
( ~ spl0_127
| spl0_153
| spl0_155
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f22930,f5714,f6107,f6100,f5797]) ).
thf(f25928,plain,
( spl0_143
| ~ spl0_117
| ~ spl0_164
| ~ spl0_17
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f22929,f5714,f203,f6532,f5764,f5860]) ).
thf(f25929,plain,
( ~ spl0_14
| spl0_53
| spl0_168
| ~ spl0_5
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f25144,f5794,f100,f7365,f728,f192]) ).
thf(f25930,plain,
( ~ spl0_9
| spl0_53
| ~ spl0_14
| ~ spl0_17
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f25145,f5794,f203,f192,f728,f130]) ).
thf(f25931,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_12
| ~ spl0_165 ),
inference(constrained_superposition,[],[f6590,f187]) ).
thf(f25933,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_12
| ~ spl0_22
| ~ spl0_89 ),
inference(constrained_superposition,[],[f24748,f187]) ).
thf(f25935,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_12
| ~ spl0_165 ),
inference(trivial_inequality_removal,[],[f25931]) ).
thf(f25936,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_12
| ~ spl0_22
| ~ spl0_89 ),
inference(trivial_inequality_removal,[],[f25933]) ).
thf(f25939,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_148 ),
inference(avatar_component_clause,[],[f6031]) ).
thf(f25940,plain,
( ~ spl0_148
| spl0_121
| ~ spl0_12
| ~ spl0_165 ),
inference(avatar_split_clause,[],[f25935,f6589,f186,f5778,f6031]) ).
thf(f25941,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| spl0_4 ),
inference(avatar_component_clause,[],[f96]) ).
thf(f25942,plain,
( ~ spl0_4
| spl0_26
| ~ spl0_12
| ~ spl0_22
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f25936,f2065,f312,f186,f326,f96]) ).
thf(f25947,definition,
( spl0_376
<=> ! [X2: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_376])],[avatar_definition]) ).
thf(f25948,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ X2 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_376 ),
inference(avatar_component_clause,[],[f25947]) ).
thf(f25959,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f28,f335]) ).
thf(f25961,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f25959]) ).
thf(f25962,plain,
( spl0_376
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f25961,f334,f25947]) ).
thf(f25980,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_153 ),
inference(constrained_superposition,[],[f28,f6101]) ).
thf(f25981,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_153 ),
inference(trivial_inequality_removal,[],[f25980]) ).
thf(f26010,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_12
| spl0_131 ),
inference(constrained_superposition,[],[f10018,f187]) ).
thf(f26011,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_12
| spl0_131 ),
inference(trivial_inequality_removal,[],[f26010]) ).
thf(f26012,plain,
( $false
| ~ spl0_12
| spl0_121
| spl0_131 ),
inference(forward_subsumption_resolution,[],[f26011,f10986]) ).
thf(f26013,plain,
( ~ spl0_12
| spl0_121
| spl0_131 ),
inference(avatar_contradiction_clause,[],[f26012]) ).
thf(f26019,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_210 ),
inference(constrained_superposition,[],[f28,f12946]) ).
thf(f26020,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_210 ),
inference(trivial_inequality_removal,[],[f26019]) ).
thf(f26022,plain,
( spl0_376
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f26020,f12945,f25947]) ).
thf(f26045,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_76 ),
inference(constrained_superposition,[],[f1185,f34]) ).
thf(f26053,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f26045]) ).
thf(f26056,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| spl0_26
| ~ spl0_76 ),
inference(forward_subsumption_resolution,[],[f26053,f991]) ).
thf(f26057,plain,
( ~ spl0_9
| spl0_26
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f26056,f1184,f326,f130]) ).
thf(f26059,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_168 ),
inference(constrained_superposition,[],[f7366,f72]) ).
thf(f26068,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_168 ),
inference(trivial_inequality_removal,[],[f26059]) ).
thf(f26070,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| spl0_53
| ~ spl0_168 ),
inference(forward_subsumption_resolution,[],[f26068,f6439]) ).
thf(f26071,plain,
( ~ spl0_9
| spl0_53
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f26070,f7365,f728,f130]) ).
thf(f26089,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_207 ),
inference(constrained_superposition,[],[f11940,f73]) ).
thf(f26095,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_207 ),
inference(trivial_inequality_removal,[],[f26089]) ).
thf(f26098,plain,
( spl0_131
| ~ spl0_9
| ~ spl0_207 ),
inference(avatar_split_clause,[],[f26095,f11939,f130,f5812]) ).
thf(f26100,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_131 ),
inference(constrained_superposition,[],[f28,f5813]) ).
thf(f26101,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f26100]) ).
thf(f26103,plain,
( spl0_376
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f26101,f5812,f25947]) ).
thf(f26108,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_113
| ~ spl0_203 ),
inference(constrained_superposition,[],[f10786,f5711]) ).
thf(f26110,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_113
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f26108]) ).
thf(f26112,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_143
| ~ spl0_376 ),
inference(constrained_superposition,[],[f25948,f5861]) ).
thf(f26115,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_143
| ~ spl0_376 ),
inference(trivial_inequality_removal,[],[f26112]) ).
thf(f26128,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_81 ),
inference(constrained_superposition,[],[f1587,f263]) ).
thf(f26130,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_81 ),
inference(trivial_inequality_removal,[],[f26128]) ).
thf(f26143,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_143
| ~ spl0_225
| ~ spl0_376 ),
inference(constrained_superposition,[],[f26115,f13265]) ).
thf(f26145,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_143
| ~ spl0_225
| ~ spl0_376 ),
inference(trivial_inequality_removal,[],[f26143]) ).
thf(f26149,plain,
( ~ spl0_210
| ~ spl0_143
| ~ spl0_225
| ~ spl0_376 ),
inference(avatar_split_clause,[],[f26145,f25947,f13264,f5860,f12945]) ).
thf(f26154,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_59
| ~ spl0_143 ),
inference(constrained_superposition,[],[f898,f5861]) ).
thf(f26155,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_59
| ~ spl0_143 ),
inference(trivial_inequality_removal,[],[f26154]) ).
thf(f26156,plain,
( $false
| ~ spl0_59
| spl0_121
| ~ spl0_143 ),
inference(forward_subsumption_resolution,[],[f26155,f10986]) ).
thf(f26157,plain,
( ~ spl0_59
| spl0_121
| ~ spl0_143 ),
inference(avatar_contradiction_clause,[],[f26156]) ).
thf(f26225,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_175 ),
inference(constrained_superposition,[],[f7749,f73]) ).
thf(f26226,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_175 ),
inference(trivial_inequality_removal,[],[f26225]) ).
thf(f26249,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| spl0_232
| ~ spl0_354 ),
inference(constrained_superposition,[],[f14727,f22306]) ).
thf(f26259,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| spl0_232
| ~ spl0_354 ),
inference(trivial_inequality_removal,[],[f26249]) ).
thf(f26267,plain,
( $false
| spl0_232
| spl0_283
| ~ spl0_354 ),
inference(forward_subsumption_resolution,[],[f26259,f21524]) ).
thf(f26268,plain,
( spl0_232
| spl0_283
| ~ spl0_354 ),
inference(avatar_contradiction_clause,[],[f26267]) ).
thf(f26293,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_171 ),
inference(constrained_superposition,[],[f7665,f34]) ).
thf(f26303,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_171 ),
inference(trivial_inequality_removal,[],[f26293]) ).
thf(f26399,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_191 ),
inference(constrained_superposition,[],[f9029,f34]) ).
thf(f26404,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_191 ),
inference(trivial_inequality_removal,[],[f26399]) ).
thf(f26410,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| spl0_121
| ~ spl0_191 ),
inference(forward_subsumption_resolution,[],[f26404,f10986]) ).
thf(f26411,plain,
( ~ spl0_43
| ~ spl0_9
| spl0_121
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f26410,f9028,f5778,f130,f522]) ).
thf(f26448,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_317 ),
inference(constrained_superposition,[],[f17677,f73]) ).
thf(f26453,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_317 ),
inference(trivial_inequality_removal,[],[f26448]) ).
thf(f26455,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| spl0_210
| ~ spl0_317 ),
inference(forward_subsumption_resolution,[],[f26453,f16564]) ).
thf(f26456,plain,
( ~ spl0_9
| ~ spl0_117
| spl0_210
| ~ spl0_317 ),
inference(avatar_split_clause,[],[f26455,f17676,f12945,f5764,f130]) ).
thf(f26472,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_347 ),
inference(constrained_superposition,[],[f21398,f35]) ).
thf(f26478,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_347 ),
inference(trivial_inequality_removal,[],[f26472]) ).
thf(f26481,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| spl0_283
| ~ spl0_347 ),
inference(forward_subsumption_resolution,[],[f26478,f21524]) ).
thf(f26482,plain,
( ~ spl0_9
| ~ spl0_43
| spl0_283
| ~ spl0_347 ),
inference(avatar_split_clause,[],[f26481,f21397,f15012,f522,f130]) ).
thf(f26493,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_350 ),
inference(constrained_superposition,[],[f22157,f72]) ).
thf(f26503,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_350 ),
inference(trivial_inequality_removal,[],[f26493]) ).
thf(f26511,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_259 ),
inference(constrained_superposition,[],[f14540,f73]) ).
thf(f26515,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_259 ),
inference(trivial_inequality_removal,[],[f26511]) ).
thf(f26518,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| spl0_210
| ~ spl0_259 ),
inference(forward_subsumption_resolution,[],[f26515,f16564]) ).
thf(f26519,plain,
( ~ spl0_128
| ~ spl0_9
| spl0_210
| ~ spl0_259 ),
inference(avatar_split_clause,[],[f26518,f14539,f12945,f130,f5801]) ).
thf(f26571,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_81
| ~ spl0_119 ),
inference(constrained_superposition,[],[f26130,f11885]) ).
thf(f26574,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_81
| ~ spl0_119 ),
inference(trivial_inequality_removal,[],[f26571]) ).
thf(f26577,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_81
| spl0_116
| ~ spl0_119 ),
inference(forward_subsumption_resolution,[],[f26574,f20676]) ).
thf(f26579,plain,
( ~ spl0_127
| ~ spl0_81
| spl0_116
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f26577,f5771,f5761,f1586,f5797]) ).
thf(f26583,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_237 ),
inference(constrained_superposition,[],[f13645,f35]) ).
thf(f26589,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_237 ),
inference(trivial_inequality_removal,[],[f26583]) ).
thf(f26593,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_237
| spl0_283 ),
inference(forward_subsumption_resolution,[],[f26589,f21524]) ).
thf(f26595,plain,
( ~ spl0_127
| ~ spl0_43
| ~ spl0_237
| spl0_283 ),
inference(avatar_split_clause,[],[f26593,f15012,f13644,f522,f5797]) ).
thf(f26625,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_335 ),
inference(constrained_superposition,[],[f19503,f34]) ).
thf(f26629,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_335 ),
inference(constrained_superposition,[],[f19503,f73]) ).
thf(f26630,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f26629]) ).
thf(f26633,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f26625]) ).
thf(f26636,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_210
| ~ spl0_335 ),
inference(forward_subsumption_resolution,[],[f26630,f16564]) ).
thf(f26637,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_262
| ~ spl0_335 ),
inference(forward_subsumption_resolution,[],[f26633,f16488]) ).
thf(f26638,plain,
( ~ spl0_136
| ~ spl0_33
| spl0_210
| ~ spl0_335 ),
inference(avatar_split_clause,[],[f26636,f19502,f12945,f351,f5831]) ).
thf(f26639,plain,
( ~ spl0_43
| ~ spl0_127
| spl0_262
| ~ spl0_335 ),
inference(avatar_split_clause,[],[f26637,f19502,f14652,f5797,f522]) ).
thf(f26695,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_151 ),
inference(constrained_superposition,[],[f6044,f263]) ).
thf(f26704,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_151 ),
inference(trivial_inequality_removal,[],[f26695]) ).
thf(f26730,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_360 ),
inference(constrained_superposition,[],[f23116,f264]) ).
thf(f26733,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_360 ),
inference(trivial_inequality_removal,[],[f26730]) ).
thf(f26739,definition,
( spl0_377
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_377])],[avatar_definition]) ).
thf(f26740,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_377 ),
inference(avatar_component_clause,[],[f26739]) ).
thf(f26741,plain,
( spl0_377
| spl0_256
| ~ spl0_32
| ~ spl0_360 ),
inference(avatar_split_clause,[],[f26733,f23115,f348,f14525,f26739]) ).
thf(f26860,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_20 ),
inference(constrained_superposition,[],[f306,f263]) ).
thf(f26874,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_20 ),
inference(duplicate_literal_removal,[],[f26860]) ).
thf(f26875,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f26874]) ).
thf(f26877,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( z = X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( r @ z @ X0 )
= $true )
| ( $true != $true ) )
| ~ spl0_13 ),
inference(constrained_superposition,[],[f23869,f26]) ).
thf(f26879,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( r @ z @ X0 )
= $true )
| ( z = X0 ) )
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f26877]) ).
thf(f26880,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( r @ X0 @ z )
= $true )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true != $true )
| ( ( r @ z @ X0 )
= $true ) )
| ~ spl0_13 ),
inference(constrained_superposition,[],[f26879,f26]) ).
thf(f26884,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( r @ X0 @ z )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( r @ z @ X0 )
= $true )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_13 ),
inference(duplicate_literal_removal,[],[f26880]) ).
thf(f26885,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( r @ z @ X0 )
= $true )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f26884]) ).
thf(f26895,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_13
| spl0_232 ),
inference(constrained_superposition,[],[f14727,f26885]) ).
thf(f26905,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_13
| spl0_232 ),
inference(trivial_inequality_removal,[],[f26895]) ).
thf(f26918,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_13
| spl0_232
| spl0_283 ),
inference(forward_subsumption_resolution,[],[f26905,f21524]) ).
thf(f26921,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_13
| spl0_232
| spl0_262
| spl0_283 ),
inference(forward_subsumption_resolution,[],[f26918,f16488]) ).
thf(f26923,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_13
| spl0_232
| spl0_262
| spl0_283 ),
inference(forward_subsumption_resolution,[],[f26921,f27]) ).
thf(f26925,plain,
( spl0_249
| ~ spl0_13
| spl0_232
| spl0_262
| spl0_283 ),
inference(avatar_split_clause,[],[f26923,f15012,f14652,f13624,f189,f14260]) ).
thf(f26927,plain,
( ! [X0: $i,X1: $i] :
( ( z = X1 )
| ( ( b @ z @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ z )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f23233,f26]) ).
thf(f26931,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ X1 )
!= $true )
| ( z = X0 )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ z )
= $true )
| ( z = X1 )
| ( ( r @ X1 @ z )
= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f26927]) ).
thf(f27014,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X0 )
= $true )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( r @ X1 @ z )
= $true )
| ( z = X1 )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f26931,f26]) ).
thf(f27015,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( $true != $true )
| ( z = X1 )
| ( ( r @ X1 @ z )
= $true )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true )
| ( ( r @ z @ X0 )
= $true ) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f27014]) ).
thf(f27016,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( r @ X1 @ z )
= $true )
| ( ( r @ z @ X0 )
= $true )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true )
| ( z = X1 ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f27015]) ).
thf(f27019,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_84
| spl0_139 ),
inference(constrained_superposition,[],[f20701,f1736]) ).
thf(f27035,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_84
| spl0_139 ),
inference(trivial_inequality_removal,[],[f27019]) ).
thf(f27041,plain,
( $false
| ~ spl0_84
| spl0_121
| spl0_139 ),
inference(forward_subsumption_resolution,[],[f27035,f10986]) ).
thf(f27042,plain,
( ~ spl0_84
| spl0_121
| spl0_139 ),
inference(avatar_contradiction_clause,[],[f27041]) ).
thf(f27043,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| spl0_148
| ~ spl0_175 ),
inference(forward_subsumption_resolution,[],[f26226,f25939]) ).
thf(f27050,plain,
( ~ spl0_117
| spl0_143
| ~ spl0_33
| ~ spl0_350 ),
inference(avatar_split_clause,[],[f26503,f22156,f351,f5860,f5764]) ).
thf(f27051,plain,
( ~ spl0_53
| ~ spl0_113
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f26110,f10785,f5710,f728]) ).
thf(f27052,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_116
| ~ spl0_151 ),
inference(forward_subsumption_resolution,[],[f26704,f20676]) ).
thf(f27053,plain,
( spl0_41
| ~ spl0_32
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f26875,f305,f348,f505]) ).
thf(f27054,plain,
( spl0_98
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f25981,f6100,f2397]) ).
thf(f27057,plain,
( ~ spl0_33
| ~ spl0_14
| spl0_148
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f27043,f7748,f6031,f192,f351]) ).
thf(f27059,plain,
( ~ spl0_32
| spl0_177
| spl0_116
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f27052,f6043,f5761,f7784,f348]) ).
thf(f27061,plain,
( ~ spl0_14
| spl0_153
| ~ spl0_43
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f26303,f7664,f522,f6100,f192]) ).
thf(f27062,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ z @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_6
| ~ spl0_376 ),
inference(constrained_superposition,[],[f25948,f104]) ).
thf(f27065,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_6
| ~ spl0_376 ),
inference(trivial_inequality_removal,[],[f27062]) ).
thf(f27092,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_66
| ~ spl0_119 ),
inference(constrained_superposition,[],[f1041,f11885]) ).
thf(f27102,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_1
| ~ spl0_119 ),
inference(constrained_superposition,[],[f62,f11885]) ).
thf(f27110,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_66
| ~ spl0_119 ),
inference(trivial_inequality_removal,[],[f27092]) ).
thf(f27121,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_119 ),
inference(trivial_inequality_removal,[],[f27102]) ).
thf(f27125,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_66
| ~ spl0_119
| spl0_139 ),
inference(forward_subsumption_resolution,[],[f27110,f20701]) ).
thf(f27126,plain,
( ~ spl0_127
| spl0_207
| ~ spl0_1
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f27121,f5771,f61,f11939,f5797]) ).
thf(f27128,plain,
( spl0_195
| ~ spl0_66
| ~ spl0_119
| spl0_139 ),
inference(avatar_split_clause,[],[f27125,f5842,f5771,f1040,f9160]) ).
thf(f27186,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_6
| ~ spl0_98 ),
inference(constrained_superposition,[],[f2398,f104]) ).
thf(f27191,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_6
| ~ spl0_98 ),
inference(trivial_inequality_removal,[],[f27186]) ).
thf(f27192,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_6
| ~ spl0_98
| ~ spl0_143 ),
inference(constrained_superposition,[],[f27191,f5861]) ).
thf(f27195,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_6
| ~ spl0_98
| ~ spl0_143 ),
inference(trivial_inequality_removal,[],[f27192]) ).
thf(f27299,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_222
| ~ spl0_266 ),
inference(constrained_superposition,[],[f14667,f13254]) ).
thf(f27306,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_222 ),
inference(constrained_superposition,[],[f298,f13254]) ).
thf(f27318,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_222
| ~ spl0_266 ),
inference(trivial_inequality_removal,[],[f27299]) ).
thf(f27328,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_222 ),
inference(trivial_inequality_removal,[],[f27306]) ).
thf(f27338,plain,
( spl0_265
| ~ spl0_238
| ~ spl0_222
| ~ spl0_266 ),
inference(avatar_split_clause,[],[f27318,f14666,f13253,f13649,f14662]) ).
thf(f27341,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_222
| spl0_230 ),
inference(forward_subsumption_resolution,[],[f27328,f20697]) ).
thf(f27342,plain,
( spl0_289
| ~ spl0_222
| spl0_230 ),
inference(avatar_split_clause,[],[f27341,f13617,f13253,f15688]) ).
thf(f27362,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f204,f34]) ).
thf(f27364,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f204,f72]) ).
thf(f27365,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f27364]) ).
thf(f27367,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f27362]) ).
thf(f27370,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_177 ),
inference(constrained_superposition,[],[f7785,f34]) ).
thf(f27378,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f27370]) ).
thf(f27401,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f27365,f263]) ).
thf(f27413,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f27401]) ).
thf(f27420,plain,
( ~ spl0_32
| ~ spl0_33
| spl0_31
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f27413,f203,f345,f351,f348]) ).
thf(f27477,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_41 ),
inference(constrained_superposition,[],[f506,f34]) ).
thf(f27489,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_41 ),
inference(trivial_inequality_removal,[],[f27477]) ).
thf(f27503,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_222
| ~ spl0_289 ),
inference(constrained_superposition,[],[f15689,f13254]) ).
thf(f27514,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_222
| ~ spl0_289 ),
inference(trivial_inequality_removal,[],[f27503]) ).
thf(f27520,plain,
( spl0_298
| ~ spl0_235
| ~ spl0_222
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f27514,f15688,f13253,f13636,f16670]) ).
thf(f27665,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
= $true )
| ( X0 = X1 )
| ( ( r @ X1 @ z )
= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( z = X1 )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true )
| ( $true != $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f27016,f26]) ).
thf(f27667,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true != $true )
| ( z
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f27016,f72]) ).
thf(f27669,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f27016,f263]) ).
thf(f27676,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
= $true )
| ( X0 = X1 )
| ( z = X1 )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 )
| ( ( r @ X1 @ z )
= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f27665]) ).
thf(f27677,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f27669]) ).
thf(f27680,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( z
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true
= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f27667]) ).
thf(f27701,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) )
| ~ spl0_1
| spl0_121 ),
inference(constrained_superposition,[],[f10986,f27676]) ).
thf(f27726,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( z = X0 )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_1
| spl0_121 ),
inference(trivial_inequality_removal,[],[f27701]) ).
thf(f27741,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z = X0 )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_1
| spl0_121 ),
inference(forward_subsumption_resolution,[],[f27726,f27]) ).
thf(f27975,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_65
| spl0_150 ),
inference(constrained_superposition,[],[f20718,f1037]) ).
thf(f27982,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_65
| ~ spl0_307 ),
inference(constrained_superposition,[],[f17197,f1037]) ).
thf(f27984,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_65
| ~ spl0_307 ),
inference(trivial_inequality_removal,[],[f27982]) ).
thf(f27990,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_65
| spl0_150 ),
inference(trivial_inequality_removal,[],[f27975]) ).
thf(f27995,plain,
( $false
| ~ spl0_65
| spl0_148
| spl0_150 ),
inference(forward_subsumption_resolution,[],[f27990,f25939]) ).
thf(f27996,plain,
( ~ spl0_65
| spl0_148
| spl0_150 ),
inference(avatar_contradiction_clause,[],[f27995]) ).
thf(f27999,plain,
( ~ spl0_134
| ~ spl0_6
| ~ spl0_98
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f27195,f5860,f2397,f103,f5824]) ).
thf(f28002,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f27677,f27]) ).
thf(f28010,plain,
( spl0_134
| spl0_184
| ~ spl0_1
| spl0_121 ),
inference(avatar_split_clause,[],[f27741,f5778,f61,f8211,f5824]) ).
thf(f28012,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f28002,f27]) ).
thf(f28014,plain,
( spl0_26
| spl0_245
| spl0_22
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f28012,f61,f312,f13925,f326]) ).
thf(f28016,plain,
( ~ spl0_22
| spl0_148
| ~ spl0_65
| ~ spl0_307 ),
inference(avatar_split_clause,[],[f27984,f17196,f1036,f6031,f312]) ).
thf(f28021,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ X0 @ z )
= $true )
| ( z
= ( s @ ( s @ z ) ) ) )
| ~ spl0_1
| spl0_26 ),
inference(constrained_superposition,[],[f991,f27676]) ).
thf(f28022,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ X0 @ z )
= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_1
| spl0_26 ),
inference(trivial_inequality_removal,[],[f28021]) ).
thf(f28023,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true ) )
| ~ spl0_1
| spl0_26 ),
inference(forward_subsumption_resolution,[],[f28022,f27]) ).
thf(f28024,plain,
( spl0_193
| spl0_22
| ~ spl0_1
| spl0_26 ),
inference(avatar_split_clause,[],[f28023,f326,f61,f312,f9095]) ).
thf(f28043,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_6
| ~ spl0_148
| ~ spl0_376 ),
inference(constrained_superposition,[],[f27065,f6032]) ).
thf(f28046,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_6
| ~ spl0_148
| ~ spl0_376 ),
inference(trivial_inequality_removal,[],[f28043]) ).
thf(f28049,plain,
( $false
| ~ spl0_6
| ~ spl0_148
| ~ spl0_153
| ~ spl0_376 ),
inference(forward_subsumption_resolution,[],[f28046,f6101]) ).
thf(f28050,plain,
( ~ spl0_6
| ~ spl0_148
| ~ spl0_153
| ~ spl0_376 ),
inference(avatar_contradiction_clause,[],[f28049]) ).
thf(f28053,plain,
( spl0_42
| ~ spl0_43
| ~ spl0_14
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f27489,f505,f192,f522,f519]) ).
thf(f28054,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( z
= ( s @ z ) ) )
| ~ spl0_1
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f27680,f25941]) ).
thf(f28056,plain,
( spl0_6
| spl0_34
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f27367,f203,f382,f103]) ).
thf(f28057,plain,
( ~ spl0_14
| ~ spl0_43
| spl0_121
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f27378,f7784,f5778,f522,f192]) ).
thf(f28063,plain,
( ! [X0: $i] :
( ( z
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true
= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_1
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f28054,f27]) ).
thf(f28064,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_1
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f28063,f27]) ).
thf(f28065,plain,
( spl0_6
| spl0_354
| ~ spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f28064,f96,f61,f22305,f103]) ).
thf(f28066,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( r @ X0 @ z )
= $true )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( z
= ( s @ z ) ) )
| ~ spl0_1
| spl0_6 ),
inference(constrained_superposition,[],[f9093,f27676]) ).
thf(f28067,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) ) )
| ~ spl0_1
| spl0_6 ),
inference(trivial_inequality_removal,[],[f28066]) ).
thf(f28068,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 )
| ( z
= ( s @ z ) )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_1
| spl0_4
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f28067,f25941]) ).
thf(f28069,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
= $true )
| ( z = X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_1
| spl0_4
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f28068,f27]) ).
thf(f28070,plain,
( spl0_358
| ~ spl0_1
| spl0_4
| spl0_6 ),
inference(avatar_split_clause,[],[f28069,f103,f96,f61,f22343]) ).
thf(f28072,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_19
| ~ spl0_376 ),
inference(constrained_superposition,[],[f25948,f303]) ).
thf(f28075,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_19
| ~ spl0_376 ),
inference(trivial_inequality_removal,[],[f28072]) ).
thf(f28100,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_118 ),
inference(constrained_superposition,[],[f5768,f26]) ).
thf(f28101,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_118 ),
inference(trivial_inequality_removal,[],[f28100]) ).
thf(f28105,plain,
( spl0_146
| spl0_124
| spl0_118 ),
inference(avatar_split_clause,[],[f28101,f5767,f5788,f5907]) ).
thf(f28171,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_19
| ~ spl0_150
| ~ spl0_376 ),
inference(constrained_superposition,[],[f28075,f6040]) ).
thf(f28173,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_19
| ~ spl0_150
| ~ spl0_376 ),
inference(trivial_inequality_removal,[],[f28171]) ).
thf(f28175,plain,
( $false
| ~ spl0_19
| ~ spl0_148
| ~ spl0_150
| ~ spl0_376 ),
inference(forward_subsumption_resolution,[],[f28173,f6032]) ).
thf(f28176,plain,
( ~ spl0_19
| ~ spl0_148
| ~ spl0_150
| ~ spl0_376 ),
inference(avatar_contradiction_clause,[],[f28175]) ).
thf(f28199,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_56
| ~ spl0_112 ),
inference(constrained_superposition,[],[f743,f5708]) ).
thf(f28224,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_56
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f28199]) ).
thf(f28244,plain,
( spl0_133
| ~ spl0_128
| ~ spl0_56
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f28224,f5707,f742,f5801,f5820]) ).
thf(f28245,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_114
| ~ spl0_151 ),
inference(constrained_superposition,[],[f6044,f5715]) ).
thf(f28256,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_114 ),
inference(constrained_superposition,[],[f1024,f5715]) ).
thf(f28280,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_114
| ~ spl0_151 ),
inference(trivial_inequality_removal,[],[f28245]) ).
thf(f28288,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f28256]) ).
thf(f28289,plain,
( spl0_133
| ~ spl0_117
| ~ spl0_114
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f28280,f6043,f5714,f5764,f5820]) ).
thf(f28290,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_114
| spl0_150 ),
inference(forward_subsumption_resolution,[],[f28288,f20718]) ).
thf(f28291,plain,
( spl0_149
| ~ spl0_114
| spl0_150 ),
inference(avatar_split_clause,[],[f28290,f6039,f5714,f6036]) ).
thf(f28292,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_19
| ~ spl0_256
| ~ spl0_376 ),
inference(constrained_superposition,[],[f28075,f14526]) ).
thf(f28297,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_19
| ~ spl0_256
| ~ spl0_376 ),
inference(trivial_inequality_removal,[],[f28292]) ).
thf(f28302,plain,
( ~ spl0_210
| ~ spl0_19
| ~ spl0_256
| ~ spl0_376 ),
inference(avatar_split_clause,[],[f28297,f25947,f14525,f302,f12945]) ).
thf(f28321,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| spl0_261 ),
inference(constrained_superposition,[],[f14649,f36]) ).
thf(f28326,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| spl0_261 ),
inference(trivial_inequality_removal,[],[f28321]) ).
thf(f28329,plain,
( spl0_249
| spl0_264
| spl0_261 ),
inference(avatar_split_clause,[],[f28326,f14648,f14659,f14260]) ).
thf(f28362,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_224
| ~ spl0_377 ),
inference(constrained_superposition,[],[f26740,f13261]) ).
thf(f28374,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_224 ),
inference(constrained_superposition,[],[f1169,f13261]) ).
thf(f28385,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f28374]) ).
thf(f28391,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_224
| ~ spl0_377 ),
inference(trivial_inequality_removal,[],[f28362]) ).
thf(f28406,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| spl0_139
| ~ spl0_224 ),
inference(forward_subsumption_resolution,[],[f28385,f20701]) ).
thf(f28408,plain,
( ~ spl0_132
| ~ spl0_128
| ~ spl0_224
| ~ spl0_377 ),
inference(avatar_split_clause,[],[f28391,f26739,f13260,f5801,f5816]) ).
thf(f28411,plain,
( spl0_321
| ~ spl0_235
| spl0_139
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f28406,f13260,f5842,f13636,f17962]) ).
thf(f28414,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_158
| ~ spl0_226 ),
inference(constrained_superposition,[],[f6129,f13268]) ).
thf(f28422,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_30
| ~ spl0_226 ),
inference(constrained_superposition,[],[f342,f13268]) ).
thf(f28427,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) )
| ~ spl0_226 ),
inference(constrained_superposition,[],[f249,f13268]) ).
thf(f28428,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_226 ),
inference(constrained_superposition,[],[f184,f13268]) ).
thf(f28440,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_30
| ~ spl0_226 ),
inference(trivial_inequality_removal,[],[f28422]) ).
thf(f28444,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_158
| ~ spl0_226 ),
inference(trivial_inequality_removal,[],[f28414]) ).
thf(f28446,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_226 ),
inference(trivial_inequality_removal,[],[f28427]) ).
thf(f28449,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_226 ),
inference(trivial_inequality_removal,[],[f28428]) ).
thf(f28457,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_30
| ~ spl0_226
| spl0_230 ),
inference(forward_subsumption_resolution,[],[f28440,f20697]) ).
thf(f28458,plain,
( spl0_335
| ~ spl0_235
| ~ spl0_158
| ~ spl0_226 ),
inference(avatar_split_clause,[],[f28444,f13267,f6128,f13636,f19502]) ).
thf(f28459,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| spl0_210
| ~ spl0_226 ),
inference(forward_subsumption_resolution,[],[f28446,f16564]) ).
thf(f28460,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_210
| ~ spl0_226 ),
inference(forward_subsumption_resolution,[],[f28449,f16564]) ).
thf(f28461,plain,
( ~ spl0_128
| spl0_335
| ~ spl0_30
| ~ spl0_226
| spl0_230 ),
inference(avatar_split_clause,[],[f28457,f13617,f13267,f341,f19502,f5801]) ).
thf(f28462,plain,
( ~ spl0_128
| spl0_159
| spl0_210
| ~ spl0_226 ),
inference(avatar_split_clause,[],[f28459,f13267,f12945,f6180,f5801]) ).
thf(f28463,plain,
( spl0_258
| spl0_210
| ~ spl0_226 ),
inference(avatar_split_clause,[],[f28460,f13267,f12945,f14533]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f66]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f98]) ).
cnf(s3,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f105]) ).
cnf(s6,plain,
( spl0_4
| spl0_9 ),
inference(sat_conversion,[],[f137]) ).
cnf(s8,plain,
( spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f159]) ).
cnf(s9,plain,
( spl0_12
| spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f194]) ).
cnf(s11,plain,
( spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f208]) ).
cnf(s12,plain,
( spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f307]) ).
cnf(s13,plain,
( spl0_21
| spl0_22 ),
inference(sat_conversion,[],[f314]) ).
cnf(s16,plain,
( spl0_26
| spl0_27 ),
inference(sat_conversion,[],[f332]) ).
cnf(s18,plain,
( spl0_28
| spl0_30 ),
inference(sat_conversion,[],[f343]) ).
cnf(s20,plain,
( spl0_22
| spl0_24 ),
inference(sat_conversion,[],[f358]) ).
cnf(s22,plain,
( ~ spl0_6
| ~ spl0_19
| ~ spl0_22 ),
inference(sat_conversion,[],[f377]) ).
cnf(s23,plain,
( spl0_6
| spl0_14 ),
inference(sat_conversion,[],[f378]) ).
cnf(s25,plain,
( ~ spl0_2
| spl0_6
| ~ spl0_19
| ~ spl0_22 ),
inference(sat_conversion,[],[f385]) ).
cnf(s27,plain,
( spl0_12
| ~ spl0_14
| spl0_35 ),
inference(sat_conversion,[],[f389]) ).
cnf(s30,plain,
( spl0_19
| spl0_32
| spl0_37 ),
inference(sat_conversion,[],[f413]) ).
cnf(s33,plain,
( ~ spl0_4
| ~ spl0_26
| ~ spl0_28 ),
inference(sat_conversion,[],[f426]) ).
cnf(s34,plain,
( ~ spl0_2
| ~ spl0_4
| spl0_26
| ~ spl0_28 ),
inference(sat_conversion,[],[f428]) ).
cnf(s40,plain,
( spl0_26
| spl0_43 ),
inference(sat_conversion,[],[f530]) ).
cnf(s45,plain,
( ~ spl0_2
| spl0_6
| ~ spl0_12
| spl0_48 ),
inference(sat_conversion,[],[f596]) ).
cnf(s47,plain,
( spl0_11
| ~ spl0_35 ),
inference(sat_conversion,[],[f616]) ).
cnf(s49,plain,
( ~ spl0_2
| spl0_6
| ~ spl0_35
| spl0_49 ),
inference(sat_conversion,[],[f631]) ).
cnf(s50,plain,
( ~ spl0_4
| ~ spl0_35
| spl0_49 ),
inference(sat_conversion,[],[f633]) ).
cnf(s51,plain,
( ~ spl0_22
| spl0_26
| spl0_37
| ~ spl0_49 ),
inference(sat_conversion,[],[f641]) ).
cnf(s62,plain,
~ spl0_37,
inference(sat_conversion,[],[f758]) ).
cnf(s66,plain,
( spl0_28
| spl0_33 ),
inference(sat_conversion,[],[f817]) ).
cnf(s69,plain,
( ~ spl0_4
| ~ spl0_18
| ~ spl0_22
| spl0_28 ),
inference(sat_conversion,[],[f835]) ).
cnf(s71,plain,
( spl0_26
| ~ spl0_42
| ~ spl0_48
| spl0_59 ),
inference(sat_conversion,[],[f899]) ).
cnf(s73,plain,
( ~ spl0_2
| ~ spl0_22
| ~ spl0_42
| spl0_60 ),
inference(sat_conversion,[],[f905]) ).
cnf(s75,plain,
( ~ spl0_36
| ~ spl0_47
| spl0_61 ),
inference(sat_conversion,[],[f932]) ).
cnf(s78,plain,
( ~ spl0_4
| ~ spl0_22
| ~ spl0_31
| spl0_63 ),
inference(sat_conversion,[],[f974]) ).
cnf(s80,plain,
( ~ spl0_32
| spl0_58
| spl0_65 ),
inference(sat_conversion,[],[f1038]) ).
cnf(s88,plain,
( ~ spl0_58
| spl0_70 ),
inference(sat_conversion,[],[f1092]) ).
cnf(s91,plain,
( ~ spl0_33
| spl0_65
| spl0_76 ),
inference(sat_conversion,[],[f1186]) ).
cnf(s92,plain,
( spl0_47
| ~ spl0_76 ),
inference(sat_conversion,[],[f1206]) ).
cnf(s120,plain,
( ~ spl0_43
| spl0_83
| spl0_84 ),
inference(sat_conversion,[],[f1737]) ).
cnf(s121,plain,
( ~ spl0_2
| spl0_60
| ~ spl0_63 ),
inference(sat_conversion,[],[f1738]) ).
cnf(s122,plain,
( ~ spl0_43
| spl0_81
| spl0_84 ),
inference(sat_conversion,[],[f1739]) ).
cnf(s133,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_22
| spl0_26
| ~ spl0_58
| ~ spl0_76
| spl0_92 ),
inference(sat_conversion,[],[f2082]) ).
cnf(s138,plain,
( ~ spl0_2
| spl0_22
| spl0_26 ),
inference(sat_conversion,[],[f2098]) ).
cnf(s144,plain,
( ~ spl0_6
| ~ spl0_26
| ~ spl0_76
| spl0_94 ),
inference(sat_conversion,[],[f2170]) ).
cnf(s148,plain,
( ~ spl0_18
| spl0_19
| spl0_28 ),
inference(sat_conversion,[],[f2352]) ).
cnf(s149,plain,
( ~ spl0_19
| spl0_89 ),
inference(sat_conversion,[],[f2364]) ).
cnf(s150,plain,
( ~ spl0_19
| spl0_36
| ~ spl0_89 ),
inference(sat_conversion,[],[f2379]) ).
cnf(s151,plain,
( ~ spl0_4
| ~ spl0_18
| spl0_36
| ~ spl0_89 ),
inference(sat_conversion,[],[f2381]) ).
cnf(s156,plain,
( ~ spl0_60
| spl0_98 ),
inference(sat_conversion,[],[f2404]) ).
cnf(s158,plain,
( ~ spl0_26
| spl0_98 ),
inference(sat_conversion,[],[f2411]) ).
cnf(s161,plain,
( spl0_6
| spl0_22
| ~ spl0_58 ),
inference(sat_conversion,[],[f2415]) ).
cnf(s169,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_12
| ~ spl0_96
| ~ spl0_98 ),
inference(sat_conversion,[],[f2605]) ).
cnf(s183,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_12
| ~ spl0_26
| ~ spl0_65
| ~ spl0_89
| spl0_96 ),
inference(sat_conversion,[],[f3065]) ).
cnf(s220,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_26
| spl0_28
| ~ spl0_47
| ~ spl0_76
| ~ spl0_94
| ~ spl0_98 ),
inference(sat_conversion,[],[f3783]) ).
cnf(s274,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_26
| ~ spl0_47
| ~ spl0_49
| ~ spl0_98
| ~ spl0_101 ),
inference(sat_conversion,[],[f4272]) ).
cnf(s275,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_26
| ~ spl0_47
| spl0_96
| ~ spl0_101 ),
inference(sat_conversion,[],[f4313]) ).
cnf(s277,plain,
( ~ spl0_26
| ~ spl0_47
| spl0_62
| ~ spl0_98 ),
inference(sat_conversion,[],[f4358]) ).
cnf(s300,plain,
( ~ spl0_58
| spl0_89
| spl0_107 ),
inference(sat_conversion,[],[f4649]) ).
cnf(s368,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_107 ),
inference(sat_conversion,[],[f5420]) ).
cnf(s389,plain,
( spl0_37
| spl0_112
| spl0_113 ),
inference(sat_conversion,[],[f5712]) ).
cnf(s390,plain,
( spl0_37
| spl0_114
| spl0_115 ),
inference(sat_conversion,[],[f5719]) ).
cnf(s391,plain,
( ~ spl0_41
| ~ spl0_112
| spl0_116
| ~ spl0_117
| ~ spl0_118 ),
inference(sat_conversion,[],[f5769]) ).
cnf(s392,plain,
( ~ spl0_3
| spl0_53
| ~ spl0_112
| ~ spl0_119
| spl0_120 ),
inference(sat_conversion,[],[f5776]) ).
cnf(s399,plain,
( ~ spl0_20
| ~ spl0_112
| spl0_124
| ~ spl0_128
| spl0_133 ),
inference(sat_conversion,[],[f5822]) ).
cnf(s402,plain,
( ~ spl0_112
| spl0_116
| spl0_137 ),
inference(sat_conversion,[],[f5837]) ).
cnf(s404,plain,
( ~ spl0_30
| ~ spl0_112
| spl0_116
| ~ spl0_117
| spl0_140 ),
inference(sat_conversion,[],[f5848]) ).
cnf(s410,plain,
( spl0_119
| spl0_134 ),
inference(sat_conversion,[],[f5876]) ).
cnf(s412,plain,
( spl0_121
| spl0_127 ),
inference(sat_conversion,[],[f5883]) ).
cnf(s422,plain,
( ~ spl0_2
| ~ spl0_4
| spl0_121
| ~ spl0_131 ),
inference(sat_conversion,[],[f5950]) ).
cnf(s427,plain,
( spl0_89
| ~ spl0_150 ),
inference(sat_conversion,[],[f6056]) ).
cnf(s428,plain,
( ~ spl0_4
| ~ spl0_98
| ~ spl0_121
| ~ spl0_131 ),
inference(sat_conversion,[],[f6062]) ).
cnf(s430,plain,
( spl0_53
| spl0_117 ),
inference(sat_conversion,[],[f6074]) ).
cnf(s435,plain,
( ~ spl0_2
| ~ spl0_26
| ~ spl0_98
| ~ spl0_124
| spl0_153 ),
inference(sat_conversion,[],[f6110]) ).
cnf(s436,plain,
( ~ spl0_26
| ~ spl0_124
| ~ spl0_153 ),
inference(sat_conversion,[],[f6118]) ).
cnf(s438,plain,
( ~ spl0_32
| ~ spl0_57
| spl0_124 ),
inference(sat_conversion,[],[f6126]) ).
cnf(s444,plain,
( spl0_89
| ~ spl0_139 ),
inference(sat_conversion,[],[f6169]) ).
cnf(s446,plain,
( ~ spl0_4
| ~ spl0_53
| spl0_126 ),
inference(sat_conversion,[],[f6178]) ).
cnf(s464,plain,
~ spl0_144,
inference(sat_conversion,[],[f6354]) ).
cnf(s477,plain,
( ~ spl0_6
| ~ spl0_53
| ~ spl0_153 ),
inference(sat_conversion,[],[f6417]) ).
cnf(s478,plain,
( ~ spl0_33
| spl0_53
| ~ spl0_142 ),
inference(sat_conversion,[],[f6418]) ).
cnf(s479,plain,
( ~ spl0_113
| ~ spl0_121
| ~ spl0_153 ),
inference(sat_conversion,[],[f6432]) ).
cnf(s480,plain,
( ~ spl0_2
| ~ spl0_113
| spl0_121
| ~ spl0_157 ),
inference(sat_conversion,[],[f6434]) ).
cnf(s482,plain,
( ~ spl0_48
| ~ spl0_53
| ~ spl0_113
| spl0_121 ),
inference(sat_conversion,[],[f6440]) ).
cnf(s483,plain,
( ~ spl0_2
| ~ spl0_26
| ~ spl0_98
| ~ spl0_116
| spl0_121 ),
inference(sat_conversion,[],[f6441]) ).
cnf(s489,plain,
( spl0_116
| spl0_125
| spl0_145 ),
inference(sat_conversion,[],[f6448]) ).
cnf(s492,plain,
( ~ spl0_2
| ~ spl0_98
| ~ spl0_115
| spl0_121
| ~ spl0_153 ),
inference(sat_conversion,[],[f6468]) ).
cnf(s502,plain,
( ~ spl0_17
| ~ spl0_114
| ~ spl0_117
| spl0_143
| ~ spl0_164 ),
inference(sat_conversion,[],[f6534]) ).
cnf(s504,plain,
( ~ spl0_41
| ~ spl0_114
| spl0_124
| ~ spl0_125
| ~ spl0_128 ),
inference(sat_conversion,[],[f6536]) ).
cnf(s507,plain,
( ~ spl0_114
| spl0_156
| spl0_157 ),
inference(sat_conversion,[],[f6539]) ).
cnf(s508,plain,
( spl0_53
| ~ spl0_114
| spl0_151 ),
inference(sat_conversion,[],[f6540]) ).
cnf(s509,plain,
( ~ spl0_2
| spl0_153
| spl0_157 ),
inference(sat_conversion,[],[f6541]) ).
cnf(s513,plain,
( ~ spl0_48
| ~ spl0_115
| ~ spl0_143
| spl0_153 ),
inference(sat_conversion,[],[f6601]) ).
cnf(s514,plain,
( ~ spl0_98
| ~ spl0_113
| ~ spl0_121
| ~ spl0_157 ),
inference(sat_conversion,[],[f6609]) ).
cnf(s515,plain,
( ~ spl0_2
| ~ spl0_115
| ~ spl0_134
| spl0_153 ),
inference(sat_conversion,[],[f6611]) ).
cnf(s517,plain,
( ~ spl0_2
| ~ spl0_115
| spl0_121
| spl0_165 ),
inference(sat_conversion,[],[f6613]) ).
cnf(s519,plain,
( spl0_122
| spl0_153 ),
inference(sat_conversion,[],[f6633]) ).
cnf(s521,plain,
( ~ spl0_2
| spl0_121
| spl0_134 ),
inference(sat_conversion,[],[f6640]) ).
cnf(s523,plain,
( spl0_148
| spl0_152
| spl0_164 ),
inference(sat_conversion,[],[f6653]) ).
cnf(s526,plain,
( ~ spl0_4
| ~ spl0_148
| spl0_166 ),
inference(sat_conversion,[],[f6669]) ).
cnf(s527,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_148
| spl0_153 ),
inference(sat_conversion,[],[f6670]) ).
cnf(s529,plain,
( spl0_131
| spl0_136
| spl0_144 ),
inference(sat_conversion,[],[f6690]) ).
cnf(s531,plain,
( spl0_126
| spl0_157 ),
inference(sat_conversion,[],[f6693]) ).
cnf(s533,plain,
( ~ spl0_49
| spl0_121
| ~ spl0_134
| spl0_144 ),
inference(sat_conversion,[],[f6703]) ).
cnf(s534,plain,
( ~ spl0_4
| ~ spl0_98
| ~ spl0_148
| ~ spl0_153 ),
inference(sat_conversion,[],[f6751]) ).
cnf(s536,plain,
( ~ spl0_112
| ~ spl0_118
| spl0_139
| spl0_142 ),
inference(sat_conversion,[],[f6786]) ).
cnf(s538,plain,
( ~ spl0_21
| ~ spl0_112
| ~ spl0_119
| spl0_120
| spl0_124 ),
inference(sat_conversion,[],[f6789]) ).
cnf(s548,plain,
( ~ spl0_14
| spl0_134
| ~ spl0_159 ),
inference(sat_conversion,[],[f6865]) ).
cnf(s549,plain,
( ~ spl0_33
| spl0_143
| ~ spl0_162 ),
inference(sat_conversion,[],[f6899]) ).
cnf(s550,plain,
( ~ spl0_121
| ~ spl0_153
| ~ spl0_165 ),
inference(sat_conversion,[],[f6916]) ).
cnf(s551,plain,
( ~ spl0_112
| ~ spl0_122
| ~ spl0_126
| ~ spl0_155 ),
inference(sat_conversion,[],[f6932]) ).
cnf(s557,plain,
( ~ spl0_22
| spl0_89 ),
inference(sat_conversion,[],[f6976]) ).
cnf(s565,plain,
( spl0_146
| spl0_150
| spl0_167 ),
inference(sat_conversion,[],[f7058]) ).
cnf(s569,plain,
( ~ spl0_26
| ~ spl0_89
| ~ spl0_150
| ~ spl0_153 ),
inference(sat_conversion,[],[f7082]) ).
cnf(s570,plain,
( ~ spl0_89
| ~ spl0_115
| ~ spl0_116
| ~ spl0_150 ),
inference(sat_conversion,[],[f7084]) ).
cnf(s571,plain,
( ~ spl0_115
| ~ spl0_143
| ~ spl0_166 ),
inference(sat_conversion,[],[f7085]) ).
cnf(s572,plain,
( ~ spl0_36
| ~ spl0_116
| ~ spl0_143 ),
inference(sat_conversion,[],[f7086]) ).
cnf(s574,plain,
( ~ spl0_53
| spl0_166 ),
inference(sat_conversion,[],[f7088]) ).
cnf(s579,plain,
( ~ spl0_89
| ~ spl0_139
| spl0_161 ),
inference(sat_conversion,[],[f7114]) ).
cnf(s580,plain,
( ~ spl0_26
| ~ spl0_121
| ~ spl0_161 ),
inference(sat_conversion,[],[f7124]) ).
cnf(s581,plain,
( ~ spl0_112
| spl0_134
| spl0_135 ),
inference(sat_conversion,[],[f7125]) ).
cnf(s582,plain,
( ~ spl0_98
| ~ spl0_115
| ~ spl0_134
| ~ spl0_153 ),
inference(sat_conversion,[],[f7126]) ).
cnf(s583,plain,
( ~ spl0_112
| ~ spl0_125
| ~ spl0_142 ),
inference(sat_conversion,[],[f7127]) ).
cnf(s585,plain,
( ~ spl0_4
| ~ spl0_19
| ~ spl0_22 ),
inference(sat_conversion,[],[f7143]) ).
cnf(s593,plain,
( ~ spl0_115
| spl0_165 ),
inference(sat_conversion,[],[f7262]) ).
cnf(s594,plain,
( ~ spl0_33
| spl0_131
| ~ spl0_140
| ~ spl0_164 ),
inference(sat_conversion,[],[f7279]) ).
cnf(s595,plain,
( spl0_121
| ~ spl0_126
| ~ spl0_141
| spl0_168 ),
inference(sat_conversion,[],[f7367]) ).
cnf(s597,plain,
( ~ spl0_63
| ~ spl0_157 ),
inference(sat_conversion,[],[f7384]) ).
cnf(s599,plain,
( spl0_57
| ~ spl0_112
| ~ spl0_117
| spl0_131 ),
inference(sat_conversion,[],[f7389]) ).
cnf(s601,plain,
( ~ spl0_26
| ~ spl0_98
| ~ spl0_116
| ~ spl0_134 ),
inference(sat_conversion,[],[f7391]) ).
cnf(s605,plain,
( ~ spl0_49
| spl0_152
| spl0_153
| ~ spl0_157 ),
inference(sat_conversion,[],[f7406]) ).
cnf(s624,plain,
~ spl0_152,
inference(sat_conversion,[],[f7584]) ).
cnf(s632,plain,
( ~ spl0_122
| spl0_134
| ~ spl0_154
| spl0_173 ),
inference(sat_conversion,[],[f7728]) ).
cnf(s633,plain,
( spl0_143
| ~ spl0_154
| ~ spl0_164
| spl0_174 ),
inference(sat_conversion,[],[f7732]) ).
cnf(s634,plain,
( spl0_121
| ~ spl0_122
| ~ spl0_138
| spl0_175 ),
inference(sat_conversion,[],[f7750]) ).
cnf(s639,plain,
( ~ spl0_112
| spl0_121
| spl0_179 ),
inference(sat_conversion,[],[f7853]) ).
cnf(s640,plain,
( ~ spl0_112
| ~ spl0_122
| ~ spl0_179
| spl0_180 ),
inference(sat_conversion,[],[f7872]) ).
cnf(s641,plain,
( ~ spl0_11
| spl0_53
| spl0_153 ),
inference(sat_conversion,[],[f7932]) ).
cnf(s642,plain,
( ~ spl0_11
| spl0_121
| spl0_143 ),
inference(sat_conversion,[],[f7933]) ).
cnf(s646,plain,
( ~ spl0_34
| spl0_53
| ~ spl0_131
| spl0_152
| spl0_153
| ~ spl0_165 ),
inference(sat_conversion,[],[f8011]) ).
cnf(s647,plain,
( ~ spl0_4
| ~ spl0_34
| spl0_53
| spl0_152
| spl0_153
| ~ spl0_157 ),
inference(sat_conversion,[],[f8012]) ).
cnf(s651,plain,
( ~ spl0_115
| ~ spl0_116
| ~ spl0_183 ),
inference(sat_conversion,[],[f8103]) ).
cnf(s656,plain,
( spl0_53
| ~ spl0_70
| ~ spl0_139
| ~ spl0_165 ),
inference(sat_conversion,[],[f8264]) ).
cnf(s657,plain,
( ~ spl0_65
| ~ spl0_131
| ~ spl0_139
| ~ spl0_165 ),
inference(sat_conversion,[],[f8286]) ).
cnf(s696,plain,
~ spl0_146,
inference(sat_conversion,[],[f8525]) ).
cnf(s704,plain,
( ~ spl0_112
| ~ spl0_185 ),
inference(sat_conversion,[],[f8671]) ).
cnf(s707,plain,
( spl0_53
| ~ spl0_143
| ~ spl0_185 ),
inference(sat_conversion,[],[f8677]) ).
cnf(s708,plain,
( spl0_54
| ~ spl0_133
| ~ spl0_185 ),
inference(sat_conversion,[],[f8679]) ).
cnf(s710,plain,
( ~ spl0_131
| spl0_148
| ~ spl0_185 ),
inference(sat_conversion,[],[f8681]) ).
cnf(s712,plain,
( ~ spl0_139
| spl0_150
| ~ spl0_185 ),
inference(sat_conversion,[],[f8685]) ).
cnf(s714,plain,
( ~ spl0_118
| spl0_125
| ~ spl0_185 ),
inference(sat_conversion,[],[f8689]) ).
cnf(s723,plain,
( ~ spl0_114
| ~ spl0_128
| spl0_148
| spl0_159 ),
inference(sat_conversion,[],[f8786]) ).
cnf(s725,plain,
( ~ spl0_114
| ~ spl0_119
| ~ spl0_123
| ~ spl0_127 ),
inference(sat_conversion,[],[f8788]) ).
cnf(s727,plain,
( ~ spl0_114
| ~ spl0_127
| ~ spl0_180 ),
inference(sat_conversion,[],[f8791]) ).
cnf(s730,plain,
( ~ spl0_112
| spl0_121
| ~ spl0_122
| spl0_123 ),
inference(sat_conversion,[],[f8794]) ).
cnf(s735,plain,
( ~ spl0_114
| ~ spl0_117
| ~ spl0_159 ),
inference(sat_conversion,[],[f8838]) ).
cnf(s736,plain,
( ~ spl0_62
| spl0_148
| ~ spl0_157 ),
inference(sat_conversion,[],[f8847]) ).
cnf(s739,plain,
( ~ spl0_114
| spl0_121
| spl0_186 ),
inference(sat_conversion,[],[f8977]) ).
cnf(s740,plain,
( ~ spl0_112
| ~ spl0_114
| spl0_124
| ~ spl0_167
| spl0_187 ),
inference(sat_conversion,[],[f8996]) ).
cnf(s741,plain,
( spl0_53
| spl0_54
| ~ spl0_112
| ~ spl0_114
| ~ spl0_164 ),
inference(sat_conversion,[],[f8998]) ).
cnf(s742,plain,
( ~ spl0_32
| ~ spl0_54
| spl0_150 ),
inference(sat_conversion,[],[f9013]) ).
cnf(s743,plain,
( ~ spl0_112
| spl0_131
| spl0_188 ),
inference(sat_conversion,[],[f9017]) ).
cnf(s753,plain,
( ~ spl0_4
| ~ spl0_96
| ~ spl0_157 ),
inference(sat_conversion,[],[f9062]) ).
cnf(s755,plain,
( ~ spl0_24
| spl0_116
| ~ spl0_173 ),
inference(sat_conversion,[],[f9064]) ).
cnf(s757,plain,
( ~ spl0_112
| ~ spl0_125
| ~ spl0_137
| spl0_140 ),
inference(sat_conversion,[],[f9066]) ).
cnf(s762,plain,
( ~ spl0_6
| ~ spl0_26
| ~ spl0_36 ),
inference(sat_conversion,[],[f9098]) ).
cnf(s763,plain,
( ~ spl0_114
| spl0_149
| spl0_150 ),
inference(sat_conversion,[],[f9147]) ).
cnf(s768,plain,
( ~ spl0_114
| ~ spl0_125
| spl0_150
| spl0_162 ),
inference(sat_conversion,[],[f9152]) ).
cnf(s771,plain,
( ~ spl0_24
| spl0_116
| ~ spl0_156
| spl0_195 ),
inference(sat_conversion,[],[f9162]) ).
cnf(s774,plain,
( ~ spl0_112
| ~ spl0_117
| ~ spl0_122
| ~ spl0_176 ),
inference(sat_conversion,[],[f9168]) ).
cnf(s793,plain,
~ spl0_145,
inference(sat_conversion,[],[f9335]) ).
cnf(s795,plain,
( ~ spl0_4
| ~ spl0_12
| spl0_48 ),
inference(sat_conversion,[],[f9353]) ).
cnf(s797,plain,
( ~ spl0_63
| spl0_119 ),
inference(sat_conversion,[],[f9368]) ).
cnf(s799,plain,
( ~ spl0_4
| ~ spl0_53
| ~ spl0_157 ),
inference(sat_conversion,[],[f9374]) ).
cnf(s810,plain,
( ~ spl0_53
| ~ spl0_124
| spl0_183 ),
inference(sat_conversion,[],[f9504]) ).
cnf(s815,plain,
( spl0_22
| ~ spl0_139
| spl0_146
| ~ spl0_165
| ~ spl0_197 ),
inference(sat_conversion,[],[f9707]) ).
cnf(s816,plain,
( ~ spl0_33
| spl0_148
| ~ spl0_187 ),
inference(sat_conversion,[],[f9708]) ).
cnf(s818,plain,
( ~ spl0_112
| ~ spl0_117
| ~ spl0_126
| ~ spl0_192 ),
inference(sat_conversion,[],[f9713]) ).
cnf(s820,plain,
( ~ spl0_17
| spl0_53
| ~ spl0_112
| ~ spl0_128
| ~ spl0_136 ),
inference(sat_conversion,[],[f9718]) ).
cnf(s821,plain,
( ~ spl0_26
| ~ spl0_98
| ~ spl0_124
| ~ spl0_157 ),
inference(sat_conversion,[],[f9719]) ).
cnf(s824,plain,
( ~ spl0_89
| ~ spl0_150
| spl0_183 ),
inference(sat_conversion,[],[f9737]) ).
cnf(s825,plain,
( ~ spl0_113
| ~ spl0_124
| ~ spl0_161 ),
inference(sat_conversion,[],[f9755]) ).
cnf(s829,plain,
( ~ spl0_63
| ~ spl0_134 ),
inference(sat_conversion,[],[f9772]) ).
cnf(s832,plain,
( ~ spl0_139
| ~ spl0_150
| ~ spl0_165 ),
inference(sat_conversion,[],[f9814]) ).
cnf(s833,plain,
( ~ spl0_42
| ~ spl0_115
| spl0_121
| ~ spl0_183 ),
inference(sat_conversion,[],[f9978]) ).
cnf(s835,plain,
( ~ spl0_115
| ~ spl0_131
| ~ spl0_148
| spl0_185
| ~ spl0_197 ),
inference(sat_conversion,[],[f10019]) ).
cnf(s836,plain,
( ~ spl0_31
| ~ spl0_115
| spl0_143
| ~ spl0_183 ),
inference(sat_conversion,[],[f10110]) ).
cnf(s837,plain,
( ~ spl0_31
| spl0_53
| ~ spl0_113
| ~ spl0_161 ),
inference(sat_conversion,[],[f10113]) ).
cnf(s839,plain,
( ~ spl0_113
| spl0_165 ),
inference(sat_conversion,[],[f10118]) ).
cnf(s840,plain,
( ~ spl0_24
| spl0_150
| ~ spl0_186
| spl0_201 ),
inference(sat_conversion,[],[f10122]) ).
cnf(s843,plain,
( ~ spl0_19
| ~ spl0_65
| spl0_148
| ~ spl0_166 ),
inference(sat_conversion,[],[f10126]) ).
cnf(s846,plain,
( ~ spl0_26
| ~ spl0_65
| ~ spl0_89
| spl0_148
| ~ spl0_153 ),
inference(sat_conversion,[],[f10150]) ).
cnf(s850,plain,
( ~ spl0_61
| spl0_131
| ~ spl0_143 ),
inference(sat_conversion,[],[f10275]) ).
cnf(s854,plain,
( ~ spl0_4
| ~ spl0_19
| ~ spl0_131
| ~ spl0_139 ),
inference(sat_conversion,[],[f10301]) ).
cnf(s855,plain,
( ~ spl0_4
| ~ spl0_53
| ~ spl0_113
| ~ spl0_131 ),
inference(sat_conversion,[],[f10302]) ).
cnf(s860,plain,
( ~ spl0_20
| ~ spl0_114
| spl0_116
| ~ spl0_117
| spl0_133 ),
inference(sat_conversion,[],[f10389]) ).
cnf(s864,plain,
( ~ spl0_114
| ~ spl0_125
| ~ spl0_139
| spl0_162
| ~ spl0_165 ),
inference(sat_conversion,[],[f10397]) ).
cnf(s867,plain,
( ~ spl0_114
| ~ spl0_118
| ~ spl0_162 ),
inference(sat_conversion,[],[f10422]) ).
cnf(s874,plain,
( ~ spl0_53
| ~ spl0_113
| ~ spl0_143 ),
inference(sat_conversion,[],[f10555]) ).
cnf(s875,plain,
( ~ spl0_14
| spl0_121
| ~ spl0_122
| ~ spl0_133 ),
inference(sat_conversion,[],[f10556]) ).
cnf(s877,plain,
( ~ spl0_14
| spl0_143
| ~ spl0_164
| ~ spl0_202 ),
inference(sat_conversion,[],[f10560]) ).
cnf(s884,plain,
( ~ spl0_1
| ~ spl0_63
| ~ spl0_114
| spl0_153 ),
inference(sat_conversion,[],[f10574]) ).
cnf(s888,plain,
( ~ spl0_13
| ~ spl0_49
| ~ spl0_115
| spl0_121
| spl0_144
| spl0_203 ),
inference(sat_conversion,[],[f10787]) ).
cnf(s893,plain,
( ~ spl0_26
| ~ spl0_76
| ~ spl0_98
| spl0_101 ),
inference(sat_conversion,[],[f10919]) ).
cnf(s902,plain,
( ~ spl0_31
| ~ spl0_63
| ~ spl0_70
| spl0_143
| ~ spl0_184
| spl0_204 ),
inference(sat_conversion,[],[f11409]) ).
cnf(s938,plain,
( ~ spl0_149
| ~ spl0_224
| ~ spl0_236
| spl0_237 ),
inference(sat_conversion,[],[f13646]) ).
cnf(s942,plain,
( ~ spl0_207
| ~ spl0_224
| ~ spl0_233 ),
inference(sat_conversion,[],[f13659]) ).
cnf(s946,plain,
( ~ spl0_133
| ~ spl0_224
| ~ spl0_236
| ~ spl0_238 ),
inference(sat_conversion,[],[f13671]) ).
cnf(s949,plain,
( ~ spl0_140
| ~ spl0_224
| ~ spl0_235
| ~ spl0_236 ),
inference(sat_conversion,[],[f13676]) ).
cnf(s956,plain,
( ~ spl0_1
| ~ spl0_63
| spl0_121
| ~ spl0_224 ),
inference(sat_conversion,[],[f13698]) ).
cnf(s959,plain,
( ~ spl0_31
| ~ spl0_161
| ~ spl0_223
| spl0_232 ),
inference(sat_conversion,[],[f13724]) ).
cnf(s960,plain,
( ~ spl0_47
| ~ spl0_161
| spl0_210
| ~ spl0_223 ),
inference(sat_conversion,[],[f13725]) ).
cnf(s961,plain,
( ~ spl0_4
| spl0_145
| ~ spl0_166
| ~ spl0_197
| ~ spl0_232 ),
inference(sat_conversion,[],[f13878]) ).
cnf(s963,plain,
( ~ spl0_43
| spl0_121
| ~ spl0_122
| ~ spl0_140 ),
inference(sat_conversion,[],[f13884]) ).
cnf(s966,plain,
( ~ spl0_4
| ~ spl0_28
| spl0_146
| ~ spl0_148
| ~ spl0_197 ),
inference(sat_conversion,[],[f13904]) ).
cnf(s973,plain,
( spl0_131
| ~ spl0_149
| ~ spl0_164
| spl0_191 ),
inference(sat_conversion,[],[f13917]) ).
cnf(s975,plain,
( ~ spl0_24
| spl0_150
| ~ spl0_216 ),
inference(sat_conversion,[],[f13920]) ).
cnf(s978,plain,
( spl0_115
| ~ spl0_126
| ~ spl0_173
| spl0_185 ),
inference(sat_conversion,[],[f13928]) ).
cnf(s992,plain,
( ~ spl0_4
| ~ spl0_131
| spl0_203 ),
inference(sat_conversion,[],[f13995]) ).
cnf(s993,plain,
( ~ spl0_28
| ~ spl0_131
| ~ spl0_161 ),
inference(sat_conversion,[],[f13997]) ).
cnf(s994,plain,
( ~ spl0_28
| ~ spl0_70
| ~ spl0_89
| ~ spl0_131
| spl0_143 ),
inference(sat_conversion,[],[f13998]) ).
cnf(s997,plain,
( ~ spl0_14
| spl0_28
| ~ spl0_83 ),
inference(sat_conversion,[],[f14024]) ).
cnf(s998,plain,
( ~ spl0_36
| ~ spl0_53
| ~ spl0_124 ),
inference(sat_conversion,[],[f14036]) ).
cnf(s1004,plain,
( ~ spl0_114
| ~ spl0_136
| ~ spl0_198 ),
inference(sat_conversion,[],[f14204]) ).
cnf(s1005,plain,
( ~ spl0_203
| ~ spl0_223
| ~ spl0_232 ),
inference(sat_conversion,[],[f14232]) ).
cnf(s1007,plain,
( spl0_232
| spl0_238
| spl0_249 ),
inference(sat_conversion,[],[f14262]) ).
cnf(s1014,plain,
( spl0_210
| spl0_239 ),
inference(sat_conversion,[],[f14308]) ).
cnf(s1023,plain,
( ~ spl0_4
| ~ spl0_98
| ~ spl0_210
| spl0_229 ),
inference(sat_conversion,[],[f14381]) ).
cnf(s1028,plain,
( ~ spl0_159
| ~ spl0_226
| ~ spl0_238 ),
inference(sat_conversion,[],[f14519]) ).
cnf(s1034,plain,
( ~ spl0_5
| spl0_143
| ~ spl0_226
| ~ spl0_238
| spl0_259 ),
inference(sat_conversion,[],[f14541]) ).
cnf(s1052,plain,
( spl0_26
| ~ spl0_48
| ~ spl0_53
| ~ spl0_124 ),
inference(sat_conversion,[],[f14730]) ).
cnf(s1055,plain,
( ~ spl0_19
| ~ spl0_139
| ~ spl0_203 ),
inference(sat_conversion,[],[f14737]) ).
cnf(s1057,plain,
( spl0_124
| ~ spl0_126
| ~ spl0_247 ),
inference(sat_conversion,[],[f14739]) ).
cnf(s1059,plain,
( ~ spl0_19
| ~ spl0_150
| ~ spl0_166 ),
inference(sat_conversion,[],[f14741]) ).
cnf(s1064,plain,
( spl0_121
| ~ spl0_224
| ~ spl0_229
| spl0_242 ),
inference(sat_conversion,[],[f14749]) ).
cnf(s1065,plain,
( spl0_131
| ~ spl0_147
| ~ spl0_164
| spl0_190 ),
inference(sat_conversion,[],[f14750]) ).
cnf(s1067,plain,
( ~ spl0_62
| spl0_131
| ~ spl0_134 ),
inference(sat_conversion,[],[f14752]) ).
cnf(s1069,plain,
( spl0_121
| ~ spl0_122
| ~ spl0_147
| spl0_176 ),
inference(sat_conversion,[],[f14754]) ).
cnf(s1077,plain,
( ~ spl0_1
| ~ spl0_112
| spl0_121
| spl0_134
| spl0_157 ),
inference(sat_conversion,[],[f14774]) ).
cnf(s1078,plain,
( ~ spl0_6
| spl0_98 ),
inference(sat_conversion,[],[f14779]) ).
cnf(s1083,plain,
( spl0_139
| ~ spl0_147
| ~ spl0_167
| spl0_278 ),
inference(sat_conversion,[],[f14791]) ).
cnf(s1084,plain,
( ~ spl0_5
| spl0_53
| ~ spl0_112
| ~ spl0_128
| spl0_129 ),
inference(sat_conversion,[],[f14792]) ).
cnf(s1087,plain,
( spl0_22
| ~ spl0_89
| spl0_145
| spl0_161
| ~ spl0_184 ),
inference(sat_conversion,[],[f14799]) ).
cnf(s1089,plain,
( ~ spl0_63
| spl0_233 ),
inference(sat_conversion,[],[f14815]) ).
cnf(s1091,plain,
( ~ spl0_6
| ~ spl0_121
| ~ spl0_203 ),
inference(sat_conversion,[],[f14828]) ).
cnf(s1092,plain,
( spl0_98
| ~ spl0_121 ),
inference(sat_conversion,[],[f14829]) ).
cnf(s1103,plain,
( ~ spl0_43
| spl0_150
| ~ spl0_180 ),
inference(sat_conversion,[],[f14955]) ).
cnf(s1106,plain,
( ~ spl0_4
| ~ spl0_134
| ~ spl0_143 ),
inference(sat_conversion,[],[f15006]) ).
cnf(s1108,plain,
( ~ spl0_4
| ~ spl0_22
| ~ spl0_28
| ~ spl0_89 ),
inference(sat_conversion,[],[f15022]) ).
cnf(s1112,plain,
( ~ spl0_22
| ~ spl0_98
| ~ spl0_150
| ~ spl0_153 ),
inference(sat_conversion,[],[f15076]) ).
cnf(s1121,plain,
( ~ spl0_1
| ~ spl0_63
| ~ spl0_114
| ~ spl0_122
| spl0_157 ),
inference(sat_conversion,[],[f15148]) ).
cnf(s1122,plain,
( ~ spl0_66
| ~ spl0_126
| spl0_150
| spl0_170 ),
inference(sat_conversion,[],[f15149]) ).
cnf(s1126,plain,
( ~ spl0_183
| ~ spl0_230
| ~ spl0_253 ),
inference(sat_conversion,[],[f15186]) ).
cnf(s1134,plain,
( ~ spl0_1
| ~ spl0_63
| ~ spl0_226
| spl0_262 ),
inference(sat_conversion,[],[f15247]) ).
cnf(s1135,plain,
( spl0_229
| spl0_262 ),
inference(sat_conversion,[],[f15252]) ).
cnf(s1140,plain,
( spl0_42
| ~ spl0_83 ),
inference(sat_conversion,[],[f15348]) ).
cnf(s1143,plain,
( ~ spl0_114
| ~ spl0_117
| ~ spl0_126
| ~ spl0_174 ),
inference(sat_conversion,[],[f15369]) ).
cnf(s1150,plain,
( ~ spl0_22
| ~ spl0_98
| ~ spl0_256
| ~ spl0_262 ),
inference(sat_conversion,[],[f15538]) ).
cnf(s1163,plain,
( ~ spl0_165
| ~ spl0_223
| ~ spl0_253 ),
inference(sat_conversion,[],[f15685]) ).
cnf(s1166,plain,
( spl0_158
| ~ spl0_226
| spl0_230 ),
inference(sat_conversion,[],[f15692]) ).
cnf(s1167,plain,
( spl0_230
| spl0_235 ),
inference(sat_conversion,[],[f15693]) ).
cnf(s1168,plain,
( spl0_230
| spl0_235
| spl0_250 ),
inference(sat_conversion,[],[f15694]) ).
cnf(s1170,plain,
( ~ spl0_4
| ~ spl0_184
| ~ spl0_203
| spl0_252
| ~ spl0_270 ),
inference(sat_conversion,[],[f15849]) ).
cnf(s1171,plain,
( spl0_145
| ~ spl0_252 ),
inference(sat_conversion,[],[f15968]) ).
cnf(s1177,plain,
( ~ spl0_1
| ~ spl0_63
| ~ spl0_222
| ~ spl0_229 ),
inference(sat_conversion,[],[f15994]) ).
cnf(s1178,plain,
( ~ spl0_63
| ~ spl0_184
| ~ spl0_221
| ~ spl0_227
| spl0_252 ),
inference(sat_conversion,[],[f16112]) ).
cnf(s1179,plain,
( ~ spl0_113
| ~ spl0_124
| spl0_183 ),
inference(sat_conversion,[],[f16113]) ).
cnf(s1184,plain,
( ~ spl0_32
| ~ spl0_133
| spl0_139
| ~ spl0_167 ),
inference(sat_conversion,[],[f16242]) ).
cnf(s1185,plain,
( ~ spl0_115
| ~ spl0_143
| spl0_203 ),
inference(sat_conversion,[],[f16249]) ).
cnf(s1186,plain,
( ~ spl0_32
| ~ spl0_43
| spl0_124
| ~ spl0_277 ),
inference(sat_conversion,[],[f16264]) ).
cnf(s1187,plain,
( ~ spl0_121
| ~ spl0_227
| ~ spl0_262 ),
inference(sat_conversion,[],[f16265]) ).
cnf(s1192,plain,
( ~ spl0_5
| ~ spl0_14
| ~ spl0_119
| spl0_143
| spl0_173 ),
inference(sat_conversion,[],[f16274]) ).
cnf(s1210,plain,
( ~ spl0_12
| spl0_210
| spl0_262 ),
inference(sat_conversion,[],[f16569]) ).
cnf(s1223,plain,
( ~ spl0_1
| ~ spl0_63
| ~ spl0_220
| spl0_272 ),
inference(sat_conversion,[],[f16682]) ).
cnf(s1229,plain,
( ~ spl0_33
| spl0_139
| ~ spl0_188
| spl0_302 ),
inference(sat_conversion,[],[f16846]) ).
cnf(s1230,plain,
( spl0_250
| spl0_256
| spl0_300 ),
inference(sat_conversion,[],[f16848]) ).
cnf(s1231,plain,
( spl0_144
| spl0_256
| spl0_300 ),
inference(sat_conversion,[],[f16849]) ).
cnf(s1238,plain,
( spl0_139
| ~ spl0_149
| ~ spl0_167
| spl0_304 ),
inference(sat_conversion,[],[f16996]) ).
cnf(s1258,plain,
( ~ spl0_168
| spl0_306 ),
inference(sat_conversion,[],[f17253]) ).
cnf(s1263,plain,
( ~ spl0_63
| ~ spl0_113
| ~ spl0_227
| spl0_252
| ~ spl0_306 ),
inference(sat_conversion,[],[f17338]) ).
cnf(s1266,plain,
( ~ spl0_63
| ~ spl0_165
| ~ spl0_197
| ~ spl0_223
| spl0_252 ),
inference(sat_conversion,[],[f17419]) ).
cnf(s1278,plain,
( ~ spl0_4
| ~ spl0_98
| ~ spl0_272
| ~ spl0_292 ),
inference(sat_conversion,[],[f17598]) ).
cnf(s1281,plain,
( ~ spl0_141
| ~ spl0_224
| ~ spl0_234
| spl0_317 ),
inference(sat_conversion,[],[f17678]) ).
cnf(s1289,plain,
( ~ spl0_63
| spl0_310 ),
inference(sat_conversion,[],[f17828]) ).
cnf(s1293,plain,
( ~ spl0_230
| ~ spl0_253
| spl0_315 ),
inference(sat_conversion,[],[f17927]) ).
cnf(s1294,plain,
( ~ spl0_63
| ~ spl0_197
| ~ spl0_230
| spl0_252
| spl0_315 ),
inference(sat_conversion,[],[f17930]) ).
cnf(s1297,plain,
( ~ spl0_115
| ~ spl0_225
| ~ spl0_315 ),
inference(sat_conversion,[],[f17954]) ).
cnf(s1305,plain,
( ~ spl0_73
| ~ spl0_119
| ~ spl0_132
| ~ spl0_224
| spl0_230
| ~ spl0_233 ),
inference(sat_conversion,[],[f17973]) ).
cnf(s1314,plain,
( ~ spl0_121
| spl0_153
| ~ spl0_185 ),
inference(sat_conversion,[],[f18147]) ).
cnf(s1316,plain,
( ~ spl0_113
| ~ spl0_185 ),
inference(sat_conversion,[],[f18150]) ).
cnf(s1319,plain,
( ~ spl0_115
| ~ spl0_185 ),
inference(sat_conversion,[],[f18154]) ).
cnf(s1331,plain,
( ~ spl0_136
| spl0_190
| spl0_210
| ~ spl0_258 ),
inference(sat_conversion,[],[f18173]) ).
cnf(s1335,plain,
( ~ spl0_98
| ~ spl0_153
| spl0_307 ),
inference(sat_conversion,[],[f18184]) ).
cnf(s1337,plain,
( spl0_185
| spl0_225
| spl0_226 ),
inference(sat_conversion,[],[f18195]) ).
cnf(s1338,plain,
( spl0_185
| spl0_223
| spl0_224 ),
inference(sat_conversion,[],[f18196]) ).
cnf(s1339,plain,
( spl0_185
| spl0_221
| spl0_222 ),
inference(sat_conversion,[],[f18197]) ).
cnf(s1340,plain,
( spl0_185
| spl0_219
| spl0_220 ),
inference(sat_conversion,[],[f18198]) ).
cnf(s1343,plain,
( ~ spl0_98
| ~ spl0_262
| spl0_309 ),
inference(sat_conversion,[],[f18210]) ).
cnf(s1349,plain,
( ~ spl0_15
| ~ spl0_222
| ~ spl0_233
| ~ spl0_239
| spl0_270
| ~ spl0_310 ),
inference(sat_conversion,[],[f18390]) ).
cnf(s1351,plain,
( spl0_15
| ~ spl0_126
| spl0_148 ),
inference(sat_conversion,[],[f18393]) ).
cnf(s1361,plain,
( ~ spl0_222
| ~ spl0_235
| ~ spl0_260 ),
inference(sat_conversion,[],[f18455]) ).
cnf(s1380,plain,
( spl0_139
| ~ spl0_204
| ~ spl0_294 ),
inference(sat_conversion,[],[f18657]) ).
cnf(s1384,plain,
( ~ spl0_4
| ~ spl0_219
| ~ spl0_232
| ~ spl0_292 ),
inference(sat_conversion,[],[f18679]) ).
cnf(s1385,plain,
( ~ spl0_222
| spl0_232
| spl0_266 ),
inference(sat_conversion,[],[f18680]) ).
cnf(s1394,plain,
( ~ spl0_24
| spl0_139
| ~ spl0_207 ),
inference(sat_conversion,[],[f18839]) ).
cnf(s1396,plain,
( ~ spl0_24
| ~ spl0_32
| spl0_139
| ~ spl0_192 ),
inference(sat_conversion,[],[f18842]) ).
cnf(s1403,plain,
( ~ spl0_17
| ~ spl0_222
| ~ spl0_238
| ~ spl0_239
| spl0_270 ),
inference(sat_conversion,[],[f18852]) ).
cnf(s1404,plain,
( ~ spl0_1
| spl0_22
| spl0_26
| spl0_247 ),
inference(sat_conversion,[],[f18853]) ).
cnf(s1405,plain,
( spl0_112
| spl0_113
| spl0_185 ),
inference(sat_conversion,[],[f18855]) ).
cnf(s1409,plain,
( ~ spl0_32
| ~ spl0_43
| spl0_139
| ~ spl0_176 ),
inference(sat_conversion,[],[f18859]) ).
cnf(s1411,plain,
( ~ spl0_134
| ~ spl0_225
| ~ spl0_309 ),
inference(sat_conversion,[],[f18861]) ).
cnf(s1415,plain,
( ~ spl0_115
| ~ spl0_134
| ~ spl0_307 ),
inference(sat_conversion,[],[f18869]) ).
cnf(s1440,plain,
( ~ spl0_4
| ~ spl0_210
| ~ spl0_309 ),
inference(sat_conversion,[],[f18957]) ).
cnf(s1441,plain,
( ~ spl0_223
| ~ spl0_283
| spl0_309 ),
inference(sat_conversion,[],[f18958]) ).
cnf(s1448,plain,
( spl0_310
| spl0_331 ),
inference(sat_conversion,[],[f18983]) ).
cnf(s1450,plain,
( ~ spl0_36
| ~ spl0_264
| ~ spl0_270 ),
inference(sat_conversion,[],[f18996]) ).
cnf(s1451,plain,
( ~ spl0_1
| ~ spl0_6
| spl0_22
| ~ spl0_36
| spl0_193 ),
inference(sat_conversion,[],[f19000]) ).
cnf(s1453,plain,
( ~ spl0_112
| ~ spl0_117
| ~ spl0_167
| ~ spl0_278 ),
inference(sat_conversion,[],[f19078]) ).
cnf(s1454,plain,
( ~ spl0_112
| ~ spl0_164
| ~ spl0_188
| spl0_198 ),
inference(sat_conversion,[],[f19079]) ).
cnf(s1456,plain,
( spl0_57
| ~ spl0_112
| ~ spl0_117
| spl0_131 ),
inference(sat_conversion,[],[f19081]) ).
cnf(s1458,plain,
( ~ spl0_112
| spl0_121
| spl0_141 ),
inference(sat_conversion,[],[f19083]) ).
cnf(s1468,plain,
( ~ spl0_223
| spl0_227 ),
inference(sat_conversion,[],[f19160]) ).
cnf(s1469,plain,
( ~ spl0_24
| ~ spl0_27
| spl0_85 ),
inference(sat_conversion,[],[f19178]) ).
cnf(s1471,plain,
( spl0_116
| ~ spl0_119
| ~ spl0_247 ),
inference(sat_conversion,[],[f19196]) ).
cnf(s1476,plain,
( ~ spl0_57
| ~ spl0_112
| ~ spl0_128 ),
inference(sat_conversion,[],[f19201]) ).
cnf(s1479,plain,
( spl0_53
| ~ spl0_107 ),
inference(sat_conversion,[],[f19225]) ).
cnf(s1480,plain,
( ~ spl0_107
| spl0_143 ),
inference(sat_conversion,[],[f19227]) ).
cnf(s1487,plain,
( ~ spl0_119
| spl0_173
| spl0_262
| ~ spl0_284 ),
inference(sat_conversion,[],[f19471]) ).
cnf(s1499,plain,
( spl0_37
| spl0_53
| ~ spl0_92 ),
inference(sat_conversion,[],[f19649]) ).
cnf(s1534,plain,
~ spl0_250,
inference(sat_conversion,[],[f19897]) ).
cnf(s1543,plain,
( ~ spl0_221
| ~ spl0_309
| ~ spl0_331 ),
inference(sat_conversion,[],[f19918]) ).
cnf(s1544,plain,
( ~ spl0_161
| ~ spl0_193
| ~ spl0_223
| spl0_250
| spl0_283 ),
inference(sat_conversion,[],[f19920]) ).
cnf(s1551,plain,
( ~ spl0_116
| ~ spl0_225
| ~ spl0_344 ),
inference(sat_conversion,[],[f20000]) ).
cnf(s1557,plain,
( spl0_37
| ~ spl0_94
| spl0_148
| ~ spl0_157 ),
inference(sat_conversion,[],[f20073]) ).
cnf(s1559,plain,
( ~ spl0_101
| spl0_148
| ~ spl0_157 ),
inference(sat_conversion,[],[f20082]) ).
cnf(s1562,plain,
( ~ spl0_18
| spl0_131
| spl0_143 ),
inference(sat_conversion,[],[f20116]) ).
cnf(s1563,plain,
( ~ spl0_18
| spl0_53
| spl0_148 ),
inference(sat_conversion,[],[f20118]) ).
cnf(s1573,plain,
( ~ spl0_36
| ~ spl0_42
| spl0_59 ),
inference(sat_conversion,[],[f20341]) ).
cnf(s1577,plain,
( ~ spl0_207
| ~ spl0_221
| ~ spl0_227
| spl0_252
| ~ spl0_310 ),
inference(sat_conversion,[],[f20665]) ).
cnf(s1579,plain,
( ~ spl0_4
| ~ spl0_36
| ~ spl0_245
| ~ spl0_270 ),
inference(sat_conversion,[],[f20669]) ).
cnf(s1582,plain,
( ~ spl0_84
| ~ spl0_89
| ~ spl0_115
| ~ spl0_116
| spl0_153 ),
inference(sat_conversion,[],[f20677]) ).
cnf(s1584,plain,
( ~ spl0_113
| ~ spl0_157
| spl0_307 ),
inference(sat_conversion,[],[f20679]) ).
cnf(s1586,plain,
( ~ spl0_157
| ~ spl0_245
| spl0_307 ),
inference(sat_conversion,[],[f20684]) ).
cnf(s1587,plain,
( ~ spl0_130
| spl0_139
| ~ spl0_167
| spl0_346 ),
inference(sat_conversion,[],[f20688]) ).
cnf(s1590,plain,
( ~ spl0_113
| ~ spl0_134
| spl0_145
| ~ spl0_157
| ~ spl0_193 ),
inference(sat_conversion,[],[f20691]) ).
cnf(s1591,plain,
( ~ spl0_1
| spl0_134
| ~ spl0_153
| ~ spl0_165
| spl0_184 ),
inference(sat_conversion,[],[f20692]) ).
cnf(s1593,plain,
( ~ spl0_134
| spl0_145
| ~ spl0_193
| ~ spl0_223
| ~ spl0_283 ),
inference(sat_conversion,[],[f20694]) ).
cnf(s1596,plain,
( ~ spl0_33
| spl0_150
| ~ spl0_198 ),
inference(sat_conversion,[],[f20699]) ).
cnf(s1599,plain,
( ~ spl0_32
| ~ spl0_33
| spl0_139
| ~ spl0_190 ),
inference(sat_conversion,[],[f20704]) ).
cnf(s1608,plain,
( ~ spl0_33
| spl0_53
| ~ spl0_137
| spl0_171 ),
inference(sat_conversion,[],[f20717]) ).
cnf(s1609,plain,
( ~ spl0_84
| spl0_121
| ~ spl0_150
| ~ spl0_165 ),
inference(sat_conversion,[],[f20719]) ).
cnf(s1610,plain,
( ~ spl0_84
| ~ spl0_89
| ~ spl0_113
| spl0_121
| ~ spl0_124 ),
inference(sat_conversion,[],[f20720]) ).
cnf(s1618,plain,
( ~ spl0_10
| spl0_53
| ~ spl0_126
| spl0_277 ),
inference(sat_conversion,[],[f20783]) ).
cnf(s1622,plain,
( ~ spl0_124
| spl0_183
| ~ spl0_245 ),
inference(sat_conversion,[],[f20818]) ).
cnf(s1632,plain,
( ~ spl0_193
| spl0_230
| spl0_250
| spl0_283 ),
inference(sat_conversion,[],[f20881]) ).
cnf(s1633,plain,
( ~ spl0_230
| ~ spl0_245
| spl0_344 ),
inference(sat_conversion,[],[f20892]) ).
cnf(s1634,plain,
( ~ spl0_223
| ~ spl0_230
| spl0_344 ),
inference(sat_conversion,[],[f20893]) ).
cnf(s1646,plain,
( ~ spl0_24
| ~ spl0_118
| ~ spl0_129
| spl0_139 ),
inference(sat_conversion,[],[f21221]) ).
cnf(s1650,plain,
( ~ spl0_33
| spl0_210
| ~ spl0_318
| spl0_347 ),
inference(sat_conversion,[],[f21399]) ).
cnf(s1652,plain,
( ~ spl0_98
| ~ spl0_121
| ~ spl0_197
| ~ spl0_223
| spl0_252
| spl0_253 ),
inference(sat_conversion,[],[f21512]) ).
cnf(s1653,plain,
( ~ spl0_98
| ~ spl0_121
| ~ spl0_197
| ~ spl0_223
| spl0_252
| spl0_315 ),
inference(sat_conversion,[],[f21513]) ).
cnf(s1655,plain,
( ~ spl0_36
| ~ spl0_230
| ~ spl0_232 ),
inference(sat_conversion,[],[f21515]) ).
cnf(s1658,plain,
( ~ spl0_197
| spl0_252
| spl0_253
| spl0_283 ),
inference(sat_conversion,[],[f21520]) ).
cnf(s1660,plain,
( ~ spl0_134
| ~ spl0_193
| ~ spl0_225
| spl0_250
| ~ spl0_283 ),
inference(sat_conversion,[],[f21525]) ).
cnf(s1662,plain,
( ~ spl0_14
| ~ spl0_24
| spl0_153
| ~ spl0_346 ),
inference(sat_conversion,[],[f21527]) ).
cnf(s1666,plain,
( ~ spl0_4
| ~ spl0_193
| ~ spl0_210
| spl0_250
| ~ spl0_283 ),
inference(sat_conversion,[],[f21581]) ).
cnf(s1677,plain,
( ~ spl0_26
| ~ spl0_262
| ~ spl0_344 ),
inference(sat_conversion,[],[f21606]) ).
cnf(s1691,plain,
( ~ spl0_4
| ~ spl0_36
| ~ spl0_193
| ~ spl0_232
| spl0_250 ),
inference(sat_conversion,[],[f21763]) ).
cnf(s1693,plain,
( spl0_233
| spl0_283 ),
inference(sat_conversion,[],[f21765]) ).
cnf(s1695,plain,
( ~ spl0_24
| ~ spl0_43
| spl0_121
| ~ spl0_304 ),
inference(sat_conversion,[],[f21767]) ).
cnf(s1697,plain,
( ~ spl0_32
| ~ spl0_33
| spl0_131
| ~ spl0_304 ),
inference(sat_conversion,[],[f21771]) ).
cnf(s1699,plain,
( ~ spl0_32
| ~ spl0_265
| spl0_294
| ~ spl0_300 ),
inference(sat_conversion,[],[f21773]) ).
cnf(s1702,plain,
( spl0_31
| ~ spl0_32
| ~ spl0_33
| ~ spl0_85 ),
inference(sat_conversion,[],[f21776]) ).
cnf(s1707,plain,
( ~ spl0_4
| ~ spl0_232
| ~ spl0_283 ),
inference(sat_conversion,[],[f21781]) ).
cnf(s1720,plain,
( spl0_128
| spl0_143
| spl0_144 ),
inference(sat_conversion,[],[f21867]) ).
cnf(s1733,plain,
( ~ spl0_114
| ~ spl0_127
| ~ spl0_132
| ~ spl0_201 ),
inference(sat_conversion,[],[f22067]) ).
cnf(s1735,plain,
( ~ spl0_114
| ~ spl0_125
| ~ spl0_136
| ~ spl0_302 ),
inference(sat_conversion,[],[f22070]) ).
cnf(s1736,plain,
( ~ spl0_114
| ~ spl0_118
| spl0_140
| ~ spl0_158 ),
inference(sat_conversion,[],[f22071]) ).
cnf(s1744,plain,
( ~ spl0_253
| ~ spl0_283
| ~ spl0_307 ),
inference(sat_conversion,[],[f22143]) ).
cnf(s1747,plain,
( ~ spl0_54
| ~ spl0_114
| ~ spl0_128 ),
inference(sat_conversion,[],[f22146]) ).
cnf(s1750,plain,
( ~ spl0_114
| ~ spl0_119
| ~ spl0_186
| spl0_202 ),
inference(sat_conversion,[],[f22149]) ).
cnf(s1753,plain,
( ~ spl0_85
| ~ spl0_114
| spl0_116
| ~ spl0_118
| ~ spl0_167 ),
inference(sat_conversion,[],[f22154]) ).
cnf(s1754,plain,
( ~ spl0_27
| ~ spl0_114
| spl0_116
| ~ spl0_126
| spl0_350 ),
inference(sat_conversion,[],[f22158]) ).
cnf(s1758,plain,
( ~ spl0_1
| ~ spl0_114
| ~ spl0_122
| spl0_134
| spl0_157 ),
inference(sat_conversion,[],[f22163]) ).
cnf(s1768,plain,
( ~ spl0_4
| ~ spl0_148
| ~ spl0_307 ),
inference(sat_conversion,[],[f22222]) ).
cnf(s1771,plain,
( ~ spl0_26
| ~ spl0_98
| ~ spl0_264
| ~ spl0_331 ),
inference(sat_conversion,[],[f22261]) ).
cnf(s1772,plain,
( ~ spl0_89
| ~ spl0_256
| spl0_344 ),
inference(sat_conversion,[],[f22284]) ).
cnf(s1774,plain,
( ~ spl0_9
| ~ spl0_33
| spl0_131
| ~ spl0_195 ),
inference(sat_conversion,[],[f22290]) ).
cnf(s1778,plain,
( ~ spl0_1
| spl0_4
| spl0_6
| spl0_353 ),
inference(sat_conversion,[],[f22301]) ).
cnf(s1789,plain,
( ~ spl0_9
| spl0_143
| ~ spl0_156
| spl0_192 ),
inference(sat_conversion,[],[f22323]) ).
cnf(s1801,plain,
( spl0_134
| spl0_143
| spl0_144
| ~ spl0_358 ),
inference(sat_conversion,[],[f22401]) ).
cnf(s1807,plain,
( ~ spl0_6
| ~ spl0_53
| ~ spl0_98
| ~ spl0_157 ),
inference(sat_conversion,[],[f22456]) ).
cnf(s1808,plain,
( ~ spl0_1
| spl0_153
| spl0_157
| spl0_197 ),
inference(sat_conversion,[],[f22458]) ).
cnf(s1815,plain,
( spl0_132
| spl0_139
| spl0_145 ),
inference(sat_conversion,[],[f22528]) ).
cnf(s1820,plain,
( ~ spl0_6
| ~ spl0_98
| ~ spl0_232
| ~ spl0_283 ),
inference(sat_conversion,[],[f22543]) ).
cnf(s1827,plain,
( ~ spl0_22
| ~ spl0_98
| ~ spl0_121
| ~ spl0_139 ),
inference(sat_conversion,[],[f22671]) ).
cnf(s1828,plain,
( ~ spl0_9
| spl0_148
| ~ spl0_216 ),
inference(sat_conversion,[],[f22672]) ).
cnf(s1833,plain,
( ~ spl0_9
| spl0_153
| ~ spl0_198 ),
inference(sat_conversion,[],[f22732]) ).
cnf(s1835,plain,
( spl0_145
| spl0_236
| spl0_253 ),
inference(sat_conversion,[],[f22740]) ).
cnf(s1836,plain,
( spl0_152
| spl0_236
| spl0_253 ),
inference(sat_conversion,[],[f22741]) ).
cnf(s1837,plain,
( ~ spl0_166
| ~ spl0_232
| ~ spl0_253 ),
inference(sat_conversion,[],[f22751]) ).
cnf(s1838,plain,
( ~ spl0_9
| ~ spl0_14
| ~ spl0_17
| ~ spl0_119
| spl0_143 ),
inference(sat_conversion,[],[f22752]) ).
cnf(s1841,plain,
( ~ spl0_60
| spl0_153 ),
inference(sat_conversion,[],[f22762]) ).
cnf(s1845,plain,
( ~ spl0_2
| spl0_6
| ~ spl0_98
| ~ spl0_121
| ~ spl0_131 ),
inference(sat_conversion,[],[f22799]) ).
cnf(s1846,plain,
( ~ spl0_21
| ~ spl0_24
| spl0_86 ),
inference(sat_conversion,[],[f22800]) ).
cnf(s1849,plain,
( ~ spl0_112
| spl0_130
| spl0_131 ),
inference(sat_conversion,[],[f22888]) ).
cnf(s1851,plain,
( ~ spl0_112
| spl0_138
| spl0_139 ),
inference(sat_conversion,[],[f22895]) ).
cnf(s1856,plain,
( ~ spl0_30
| ~ spl0_114
| spl0_124
| ~ spl0_128
| spl0_140 ),
inference(sat_conversion,[],[f22937]) ).
cnf(s1857,plain,
( ~ spl0_114
| spl0_124
| spl0_158 ),
inference(sat_conversion,[],[f22938]) ).
cnf(s1862,plain,
( ~ spl0_28
| ~ spl0_148
| ~ spl0_183 ),
inference(sat_conversion,[],[f22983]) ).
cnf(s1863,plain,
( ~ spl0_157
| ~ spl0_251
| ~ spl0_309 ),
inference(sat_conversion,[],[f23009]) ).
cnf(s1864,plain,
( ~ spl0_131
| ~ spl0_148
| spl0_203 ),
inference(sat_conversion,[],[f23024]) ).
cnf(s1868,plain,
( ~ spl0_173
| ~ spl0_226
| ~ spl0_233 ),
inference(sat_conversion,[],[f23100]) ).
cnf(s1872,plain,
( spl0_56
| ~ spl0_112
| spl0_143 ),
inference(sat_conversion,[],[f23118]) ).
cnf(s1874,plain,
( ~ spl0_9
| spl0_143
| ~ spl0_173 ),
inference(sat_conversion,[],[f23120]) ).
cnf(s1877,plain,
( ~ spl0_26
| ~ spl0_98
| ~ spl0_230
| ~ spl0_283 ),
inference(sat_conversion,[],[f23132]) ).
cnf(s1881,plain,
( spl0_270
| ~ spl0_310
| ~ spl0_353 ),
inference(sat_conversion,[],[f23171]) ).
cnf(s1889,plain,
( ~ spl0_98
| ~ spl0_121
| ~ spl0_223
| ~ spl0_283 ),
inference(sat_conversion,[],[f23212]) ).
cnf(s1892,plain,
( ~ spl0_131
| ~ spl0_148
| ~ spl0_165 ),
inference(sat_conversion,[],[f23249]) ).
cnf(s1895,plain,
( ~ spl0_9
| ~ spl0_14
| spl0_210
| ~ spl0_242 ),
inference(sat_conversion,[],[f23321]) ).
cnf(s1896,plain,
( ~ spl0_53
| ~ spl0_157
| spl0_307 ),
inference(sat_conversion,[],[f23330]) ).
cnf(s1901,plain,
( ~ spl0_116
| spl0_161 ),
inference(sat_conversion,[],[f23515]) ).
cnf(s1907,plain,
( ~ spl0_148
| ~ spl0_210
| ~ spl0_315 ),
inference(sat_conversion,[],[f23542]) ).
cnf(s1916,plain,
( ~ spl0_222
| spl0_256
| spl0_260
| ~ spl0_261 ),
inference(sat_conversion,[],[f23735]) ).
cnf(s1926,plain,
( spl0_19
| spl0_26
| ~ spl0_35
| spl0_37 ),
inference(sat_conversion,[],[f23863]) ).
cnf(s1927,plain,
( spl0_26
| ~ spl0_35
| spl0_36
| spl0_37
| ~ spl0_89 ),
inference(sat_conversion,[],[f23864]) ).
cnf(s1955,plain,
( ~ spl0_9
| ~ spl0_33
| spl0_47
| ~ spl0_86 ),
inference(sat_conversion,[],[f24287]) ).
cnf(s1957,plain,
( spl0_73
| ~ spl0_119
| spl0_139 ),
inference(sat_conversion,[],[f24307]) ).
cnf(s1959,plain,
( ~ spl0_130
| ~ spl0_224
| ~ spl0_236
| spl0_365 ),
inference(sat_conversion,[],[f24422]) ).
cnf(s1960,plain,
( ~ spl0_114
| ~ spl0_128
| ~ spl0_224
| ~ spl0_365 ),
inference(sat_conversion,[],[f24440]) ).
cnf(s1963,plain,
( ~ spl0_138
| ~ spl0_224
| ~ spl0_236
| spl0_366 ),
inference(sat_conversion,[],[f24493]) ).
cnf(s1978,plain,
( spl0_19
| spl0_22
| spl0_37
| ~ spl0_358 ),
inference(sat_conversion,[],[f24681]) ).
cnf(s1979,plain,
( spl0_22
| spl0_36
| spl0_37
| ~ spl0_89
| ~ spl0_358 ),
inference(sat_conversion,[],[f24683]) ).
cnf(s1984,plain,
( ~ spl0_27
| ~ spl0_112
| ~ spl0_119
| spl0_124
| spl0_350 ),
inference(sat_conversion,[],[f24688]) ).
cnf(s1990,plain,
( ~ spl0_116
| ~ spl0_143
| spl0_203 ),
inference(sat_conversion,[],[f24701]) ).
cnf(s1999,plain,
( ~ spl0_112
| ~ spl0_118
| spl0_139
| spl0_142 ),
inference(sat_conversion,[],[f24710]) ).
cnf(s2001,plain,
( ~ spl0_6
| ~ spl0_262
| ~ spl0_343 ),
inference(sat_conversion,[],[f24712]) ).
cnf(s2004,plain,
( ~ spl0_41
| ~ spl0_114
| spl0_124
| ~ spl0_125
| ~ spl0_128 ),
inference(sat_conversion,[],[f24715]) ).
cnf(s2005,plain,
( ~ spl0_24
| ~ spl0_120
| spl0_139
| ~ spl0_167 ),
inference(sat_conversion,[],[f24716]) ).
cnf(s2006,plain,
( ~ spl0_17
| ~ spl0_128
| ~ spl0_136
| ~ spl0_224
| spl0_232 ),
inference(sat_conversion,[],[f24717]) ).
cnf(s2007,plain,
( ~ spl0_86
| ~ spl0_114
| ~ spl0_119
| spl0_124
| ~ spl0_125 ),
inference(sat_conversion,[],[f24718]) ).
cnf(s2009,plain,
( ~ spl0_114
| ~ spl0_125
| ~ spl0_224
| ~ spl0_366 ),
inference(sat_conversion,[],[f24720]) ).
cnf(s2010,plain,
( ~ spl0_226
| spl0_262
| spl0_284 ),
inference(sat_conversion,[],[f24721]) ).
cnf(s2014,plain,
( ~ spl0_114
| spl0_153
| spl0_154 ),
inference(sat_conversion,[],[f24725]) ).
cnf(s2016,plain,
( ~ spl0_33
| ~ spl0_239
| spl0_292
| ~ spl0_298 ),
inference(sat_conversion,[],[f24727]) ).
cnf(s2020,plain,
( ~ spl0_114
| ~ spl0_125
| spl0_150
| spl0_162 ),
inference(sat_conversion,[],[f24731]) ).
cnf(s2023,plain,
( ~ spl0_22
| ~ spl0_256
| ~ spl0_309 ),
inference(sat_conversion,[],[f24734]) ).
cnf(s2024,plain,
( ~ spl0_112
| ~ spl0_119
| spl0_120
| ~ spl0_135 ),
inference(sat_conversion,[],[f24735]) ).
cnf(s2027,plain,
( ~ spl0_125
| spl0_162
| ~ spl0_226
| spl0_256 ),
inference(sat_conversion,[],[f24738]) ).
cnf(s2050,plain,
( ~ spl0_22
| ~ spl0_89
| ~ spl0_116
| ~ spl0_134 ),
inference(sat_conversion,[],[f24833]) ).
cnf(s2063,plain,
( ~ spl0_120
| ~ spl0_224
| ~ spl0_233
| ~ spl0_236 ),
inference(sat_conversion,[],[f25092]) ).
cnf(s2065,plain,
( ~ spl0_22
| ~ spl0_89
| ~ spl0_230
| ~ spl0_283 ),
inference(sat_conversion,[],[f25094]) ).
cnf(s2079,plain,
( ~ spl0_43
| ~ spl0_142
| spl0_157 ),
inference(sat_conversion,[],[f25124]) ).
cnf(s2080,plain,
( ~ spl0_22
| ~ spl0_89
| ~ spl0_124
| ~ spl0_157 ),
inference(sat_conversion,[],[f25125]) ).
cnf(s2084,plain,
( ~ spl0_224
| ~ spl0_235
| ~ spl0_300
| ~ spl0_304 ),
inference(sat_conversion,[],[f25298]) ).
cnf(s2085,plain,
( ~ spl0_9
| ~ spl0_33
| spl0_148
| ~ spl0_170 ),
inference(sat_conversion,[],[f25299]) ).
cnf(s2087,plain,
( ~ spl0_114
| spl0_147
| spl0_148 ),
inference(sat_conversion,[],[f25301]) ).
cnf(s2094,plain,
( ~ spl0_27
| ~ spl0_114
| spl0_116
| ~ spl0_126
| spl0_350 ),
inference(sat_conversion,[],[f25311]) ).
cnf(s2099,plain,
( spl0_232
| spl0_249
| spl0_283
| ~ spl0_358 ),
inference(sat_conversion,[],[f25335]) ).
cnf(s2122,plain,
~ spl0_249,
inference(sat_conversion,[],[f25528]) ).
cnf(s2128,plain,
( ~ spl0_28
| spl0_36 ),
inference(sat_conversion,[],[f25554]) ).
cnf(s2129,plain,
( ~ spl0_28
| ~ spl0_210
| spl0_343 ),
inference(sat_conversion,[],[f25555]) ).
cnf(s2130,plain,
( ~ spl0_28
| ~ spl0_131
| spl0_203 ),
inference(sat_conversion,[],[f25556]) ).
cnf(s2132,plain,
( ~ spl0_114
| ~ spl0_128
| ~ spl0_132
| ~ spl0_346 ),
inference(sat_conversion,[],[f25558]) ).
cnf(s2133,plain,
( ~ spl0_1
| ~ spl0_122
| ~ spl0_126
| spl0_216 ),
inference(sat_conversion,[],[f25559]) ).
cnf(s2134,plain,
( ~ spl0_114
| ~ spl0_128
| spl0_148
| spl0_159 ),
inference(sat_conversion,[],[f25560]) ).
cnf(s2136,plain,
( ~ spl0_22
| ~ spl0_150
| ~ spl0_307 ),
inference(sat_conversion,[],[f25587]) ).
cnf(s2149,plain,
( spl0_234
| spl0_251
| spl0_252 ),
inference(sat_conversion,[],[f25831]) ).
cnf(s2155,plain,
( spl0_116
| ~ spl0_224
| spl0_318 ),
inference(sat_conversion,[],[f25894]) ).
cnf(s2158,plain,
( spl0_139
| ~ spl0_224
| ~ spl0_235
| spl0_321 ),
inference(sat_conversion,[],[f25895]) ).
cnf(s2159,plain,
( spl0_143
| ~ spl0_224
| spl0_360 ),
inference(sat_conversion,[],[f25896]) ).
cnf(s2160,plain,
( ~ spl0_125
| ~ spl0_224
| ~ spl0_321 ),
inference(sat_conversion,[],[f25921]) ).
cnf(s2161,plain,
( ~ spl0_3
| spl0_19
| spl0_66 ),
inference(sat_conversion,[],[f25922]) ).
cnf(s2162,plain,
( spl0_53
| ~ spl0_114
| spl0_151 ),
inference(sat_conversion,[],[f25923]) ).
cnf(s2164,plain,
( spl0_53
| ~ spl0_126
| ~ spl0_353 ),
inference(sat_conversion,[],[f25925]) ).
cnf(s2165,plain,
( ~ spl0_114
| ~ spl0_127
| spl0_153
| spl0_155 ),
inference(sat_conversion,[],[f25926]) ).
cnf(s2167,plain,
( ~ spl0_17
| ~ spl0_114
| ~ spl0_117
| spl0_143
| ~ spl0_164 ),
inference(sat_conversion,[],[f25928]) ).
cnf(s2168,plain,
( ~ spl0_5
| ~ spl0_14
| spl0_53
| ~ spl0_126
| spl0_168 ),
inference(sat_conversion,[],[f25929]) ).
cnf(s2169,plain,
( ~ spl0_9
| ~ spl0_14
| ~ spl0_17
| spl0_53
| ~ spl0_126 ),
inference(sat_conversion,[],[f25930]) ).
cnf(s2170,plain,
( ~ spl0_12
| spl0_121
| ~ spl0_148
| ~ spl0_165 ),
inference(sat_conversion,[],[f25940]) ).
cnf(s2171,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_22
| spl0_26
| ~ spl0_89 ),
inference(sat_conversion,[],[f25942]) ).
cnf(s2173,plain,
( ~ spl0_28
| spl0_376 ),
inference(sat_conversion,[],[f25962]) ).
cnf(s2182,plain,
( ~ spl0_12
| spl0_121
| spl0_131 ),
inference(sat_conversion,[],[f26013]) ).
cnf(s2183,plain,
( ~ spl0_210
| spl0_376 ),
inference(sat_conversion,[],[f26022]) ).
cnf(s2186,plain,
( ~ spl0_9
| spl0_26
| ~ spl0_76 ),
inference(sat_conversion,[],[f26057]) ).
cnf(s2187,plain,
( ~ spl0_9
| spl0_53
| ~ spl0_168 ),
inference(sat_conversion,[],[f26071]) ).
cnf(s2189,plain,
( ~ spl0_9
| spl0_131
| ~ spl0_207 ),
inference(sat_conversion,[],[f26098]) ).
cnf(s2190,plain,
( ~ spl0_131
| spl0_376 ),
inference(sat_conversion,[],[f26103]) ).
cnf(s2192,plain,
( ~ spl0_143
| ~ spl0_210
| ~ spl0_225
| ~ spl0_376 ),
inference(sat_conversion,[],[f26149]) ).
cnf(s2193,plain,
( ~ spl0_59
| spl0_121
| ~ spl0_143 ),
inference(sat_conversion,[],[f26157]) ).
cnf(s2196,plain,
( spl0_232
| spl0_283
| ~ spl0_354 ),
inference(sat_conversion,[],[f26268]) ).
cnf(s2197,plain,
( ~ spl0_9
| ~ spl0_43
| spl0_121
| ~ spl0_191 ),
inference(sat_conversion,[],[f26411]) ).
cnf(s2198,plain,
( ~ spl0_9
| ~ spl0_117
| spl0_210
| ~ spl0_317 ),
inference(sat_conversion,[],[f26456]) ).
cnf(s2199,plain,
( ~ spl0_9
| ~ spl0_43
| spl0_283
| ~ spl0_347 ),
inference(sat_conversion,[],[f26482]) ).
cnf(s2200,plain,
( ~ spl0_9
| ~ spl0_128
| spl0_210
| ~ spl0_259 ),
inference(sat_conversion,[],[f26519]) ).
cnf(s2204,plain,
( ~ spl0_81
| spl0_116
| ~ spl0_119
| ~ spl0_127 ),
inference(sat_conversion,[],[f26579]) ).
cnf(s2206,plain,
( ~ spl0_43
| ~ spl0_127
| ~ spl0_237
| spl0_283 ),
inference(sat_conversion,[],[f26595]) ).
cnf(s2209,plain,
( ~ spl0_33
| ~ spl0_136
| spl0_210
| ~ spl0_335 ),
inference(sat_conversion,[],[f26638]) ).
cnf(s2210,plain,
( ~ spl0_43
| ~ spl0_127
| spl0_262
| ~ spl0_335 ),
inference(sat_conversion,[],[f26639]) ).
cnf(s2212,plain,
( ~ spl0_32
| spl0_256
| ~ spl0_360
| spl0_377 ),
inference(sat_conversion,[],[f26741]) ).
cnf(s2218,plain,
( ~ spl0_13
| spl0_232
| spl0_249
| spl0_262
| spl0_283 ),
inference(sat_conversion,[],[f26925]) ).
cnf(s2227,plain,
( ~ spl0_84
| spl0_121
| spl0_139 ),
inference(sat_conversion,[],[f27042]) ).
cnf(s2233,plain,
( ~ spl0_33
| ~ spl0_117
| spl0_143
| ~ spl0_350 ),
inference(sat_conversion,[],[f27050]) ).
cnf(s2234,plain,
( ~ spl0_53
| ~ spl0_113
| ~ spl0_203 ),
inference(sat_conversion,[],[f27051]) ).
cnf(s2235,plain,
( ~ spl0_20
| ~ spl0_32
| spl0_41 ),
inference(sat_conversion,[],[f27053]) ).
cnf(s2236,plain,
( spl0_98
| ~ spl0_153 ),
inference(sat_conversion,[],[f27054]) ).
cnf(s2239,plain,
( ~ spl0_14
| ~ spl0_33
| spl0_148
| ~ spl0_175 ),
inference(sat_conversion,[],[f27057]) ).
cnf(s2241,plain,
( ~ spl0_32
| spl0_116
| ~ spl0_151
| spl0_177 ),
inference(sat_conversion,[],[f27059]) ).
cnf(s2243,plain,
( ~ spl0_14
| ~ spl0_43
| spl0_153
| ~ spl0_171 ),
inference(sat_conversion,[],[f27061]) ).
cnf(s2249,plain,
( ~ spl0_1
| ~ spl0_119
| ~ spl0_127
| spl0_207 ),
inference(sat_conversion,[],[f27126]) ).
cnf(s2251,plain,
( ~ spl0_66
| ~ spl0_119
| spl0_139
| spl0_195 ),
inference(sat_conversion,[],[f27128]) ).
cnf(s2266,plain,
( ~ spl0_222
| ~ spl0_238
| spl0_265
| ~ spl0_266 ),
inference(sat_conversion,[],[f27338]) ).
cnf(s2269,plain,
( ~ spl0_222
| spl0_230
| spl0_289 ),
inference(sat_conversion,[],[f27342]) ).
cnf(s2270,plain,
( ~ spl0_17
| spl0_31
| ~ spl0_32
| ~ spl0_33 ),
inference(sat_conversion,[],[f27420]) ).
cnf(s2271,plain,
( ~ spl0_222
| ~ spl0_235
| ~ spl0_289
| spl0_298 ),
inference(sat_conversion,[],[f27520]) ).
cnf(s2309,plain,
( ~ spl0_65
| spl0_148
| spl0_150 ),
inference(sat_conversion,[],[f27996]) ).
cnf(s2311,plain,
( ~ spl0_6
| ~ spl0_98
| ~ spl0_134
| ~ spl0_143 ),
inference(sat_conversion,[],[f27999]) ).
cnf(s2319,plain,
( ~ spl0_1
| spl0_121
| spl0_134
| spl0_184 ),
inference(sat_conversion,[],[f28010]) ).
cnf(s2321,plain,
( ~ spl0_1
| spl0_22
| spl0_26
| spl0_245 ),
inference(sat_conversion,[],[f28014]) ).
cnf(s2323,plain,
( ~ spl0_22
| ~ spl0_65
| spl0_148
| ~ spl0_307 ),
inference(sat_conversion,[],[f28016]) ).
cnf(s2325,plain,
( ~ spl0_1
| spl0_22
| spl0_26
| spl0_193 ),
inference(sat_conversion,[],[f28024]) ).
cnf(s2330,plain,
( ~ spl0_6
| ~ spl0_148
| ~ spl0_153
| ~ spl0_376 ),
inference(sat_conversion,[],[f28050]) ).
cnf(s2332,plain,
( ~ spl0_14
| ~ spl0_41
| spl0_42
| ~ spl0_43 ),
inference(sat_conversion,[],[f28053]) ).
cnf(s2334,plain,
( spl0_6
| ~ spl0_17
| spl0_34 ),
inference(sat_conversion,[],[f28056]) ).
cnf(s2335,plain,
( ~ spl0_14
| ~ spl0_43
| spl0_121
| ~ spl0_177 ),
inference(sat_conversion,[],[f28057]) ).
cnf(s2338,plain,
( ~ spl0_1
| spl0_4
| spl0_6
| spl0_354 ),
inference(sat_conversion,[],[f28065]) ).
cnf(s2339,plain,
( ~ spl0_1
| spl0_4
| spl0_6
| spl0_358 ),
inference(sat_conversion,[],[f28070]) ).
cnf(s2341,plain,
( spl0_118
| spl0_124
| spl0_146 ),
inference(sat_conversion,[],[f28105]) ).
cnf(s2346,plain,
( ~ spl0_19
| ~ spl0_148
| ~ spl0_150
| ~ spl0_376 ),
inference(sat_conversion,[],[f28176]) ).
cnf(s2347,plain,
( ~ spl0_56
| ~ spl0_112
| ~ spl0_128
| spl0_133 ),
inference(sat_conversion,[],[f28244]) ).
cnf(s2349,plain,
( ~ spl0_114
| ~ spl0_117
| spl0_133
| ~ spl0_151 ),
inference(sat_conversion,[],[f28289]) ).
cnf(s2350,plain,
( ~ spl0_114
| spl0_149
| spl0_150 ),
inference(sat_conversion,[],[f28291]) ).
cnf(s2353,plain,
( ~ spl0_19
| ~ spl0_210
| ~ spl0_256
| ~ spl0_376 ),
inference(sat_conversion,[],[f28302]) ).
cnf(s2356,plain,
( spl0_249
| spl0_261
| spl0_264 ),
inference(sat_conversion,[],[f28329]) ).
cnf(s2362,plain,
( ~ spl0_128
| ~ spl0_132
| ~ spl0_224
| ~ spl0_377 ),
inference(sat_conversion,[],[f28408]) ).
cnf(s2363,plain,
( spl0_139
| ~ spl0_224
| ~ spl0_235
| spl0_321 ),
inference(sat_conversion,[],[f28411]) ).
cnf(s2367,plain,
( ~ spl0_158
| ~ spl0_226
| ~ spl0_235
| spl0_335 ),
inference(sat_conversion,[],[f28458]) ).
cnf(s2368,plain,
( ~ spl0_30
| ~ spl0_128
| ~ spl0_226
| spl0_230
| spl0_335 ),
inference(sat_conversion,[],[f28461]) ).
cnf(s2369,plain,
( ~ spl0_128
| spl0_159
| spl0_210
| ~ spl0_226 ),
inference(sat_conversion,[],[f28462]) ).
cnf(s2370,plain,
( spl0_210
| ~ spl0_226
| spl0_258 ),
inference(sat_conversion,[],[f28463]) ).
cnf(s2371,plain,
( spl0_232
| spl0_283
| ~ spl0_358 ),
inference(rat,[],[s2099,s2122]) ).
cnf(s2399,plain,
( spl0_256
| spl0_300 ),
inference(rat,[],[s1230,s1534]) ).
cnf(s2400,plain,
( spl0_230
| spl0_235 ),
inference(rat,[],[s1168,s1534]) ).
cnf(s2406,plain,
( spl0_232
| spl0_238 ),
inference(rat,[],[s1007,s2122]) ).
cnf(s2407,plain,
~ spl0_252,
inference(rat,[],[s1171,s793]) ).
cnf(s2409,plain,
( ~ spl0_49
| spl0_153
| ~ spl0_157 ),
inference(rat,[],[s605,s624]) ).
cnf(s2414,plain,
( spl0_150
| spl0_167 ),
inference(rat,[],[s565,s696]) ).
cnf(s2416,plain,
( spl0_148
| spl0_164 ),
inference(rat,[],[s523,s624]) ).
cnf(s2417,plain,
( spl0_116
| spl0_125 ),
inference(rat,[],[s489,s793]) ).
cnf(s2425,plain,
( ~ spl0_22
| spl0_26
| ~ spl0_49 ),
inference(rat,[],[s51,s62]) ).
cnf(s2426,plain,
( spl0_19
| spl0_32 ),
inference(rat,[],[s30,s62]) ).
cnf(s2427,plain,
( ~ spl0_131
| ~ spl0_98
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s428,s422]) ).
cnf(s2428,plain,
( ~ spl0_22
| spl0_63
| ~ spl0_17
| ~ spl0_4 ),
inference(rat,[],[s2270,s66,s2426,s78,s1108,s585,s557]) ).
cnf(s2429,plain,
( ~ spl0_19
| spl0_36 ),
inference(rat,[],[s149,s150]) ).
cnf(s2430,plain,
( ~ spl0_148
| ~ spl0_98
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s534,s527]) ).
cnf(s2432,plain,
( spl0_89
| spl0_148
| spl0_107 ),
inference(rat,[],[s80,s2426,s2309,s149,s300,s427]) ).
cnf(s2433,plain,
( spl0_153
| ~ spl0_11
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s799,s641,s509]) ).
cnf(s2434,plain,
( ~ spl0_26
| ~ spl0_153
| ~ spl0_6
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s220,s144,s92,s91,s66,s846,s33,s2432,s2430,s1078,s368]) ).
cnf(s2436,plain,
( ~ spl0_153
| ~ spl0_6
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s133,s80,s91,s2426,s66,s2323,s585,s34,s138,s2434,s1499,s477,s1335,s2430,s1078,s62]) ).
cnf(s2437,plain,
( ~ spl0_6
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s480,s514,s389,s1456,s438,s2426,s2429,s435,s762,s138,s2428,s11,s430,s1563,s799,s121,s509,s1841,s2436,s2430,s2427,s1078,s62]) ).
cnf(s2438,plain,
( spl0_89
| spl0_148
| spl0_58 ),
inference(rat,[],[s80,s2426,s2309,s149,s427]) ).
cnf(s2439,plain,
( ~ spl0_76
| ~ spl0_26
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s27,s50,s169,s274,s275,s92,s893,s23,s2437,s158]) ).
cnf(s2440,plain,
( spl0_22
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s27,s183,s47,s753,s2433,s509,s846,s91,s2439,s2438,s66,s2430,s33,s158,s138,s161,s23,s2437]) ).
cnf(s2441,plain,
( ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s743,s1454,s1596,s2416,s389,s1112,s534,s479,s428,s156,s509,s521,s121,s597,s829,s2428,s11,s66,s148,s1108,s585,s557,s2440,s62]) ).
cnf(s2443,plain,
( spl0_131
| ~ spl0_62
| ~ spl0_33
| ~ spl0_66
| spl0_139
| ~ spl0_9 ),
inference(rat,[],[s410,s2251,s1067,s1774]) ).
cnf(s2444,plain,
( ~ spl0_131
| spl0_6
| ~ spl0_118
| spl0_150
| ~ spl0_148
| ~ spl0_26
| ~ spl0_2 ),
inference(rat,[],[s768,s867,s2417,s390,s483,s517,s1892,s1845,s158,s62]) ).
cnf(s2445,plain,
( ~ spl0_33
| spl0_131
| ~ spl0_66
| spl0_139
| ~ spl0_86
| ~ spl0_26
| ~ spl0_9 ),
inference(rat,[],[s277,s2443,s1955,s158]) ).
cnf(s2447,plain,
( spl0_134
| spl0_124
| ~ spl0_153
| spl0_120
| ~ spl0_21
| ~ spl0_2 ),
inference(rat,[],[s389,s479,s538,s521,s410,s62]) ).
cnf(s2448,plain,
( ~ spl0_153
| spl0_89
| spl0_22
| ~ spl0_2 ),
inference(rat,[],[s867,s2020,s390,s2417,s582,s601,s2447,s2341,s436,s13,s158,s138,s2005,s2414,s427,s20,s444,s62,s696]) ).
cnf(s2449,plain,
( spl0_6
| spl0_89
| ~ spl0_148
| spl0_22
| ~ spl0_2 ),
inference(rat,[],[s389,s514,s1849,s2182,s1587,s27,s1662,s49,s2444,s23,s20,s444,s2414,s427,s2409,s509,s2341,s435,s2448,s158,s138,s62,s696]) ).
cnf(s2450,plain,
( spl0_89
| ~ spl0_148
| spl0_22
| ~ spl0_2 ),
inference(rat,[],[s389,s839,s1999,s1892,s478,s2445,s66,s2128,s1807,s762,s2449,s2341,s435,s509,s2448,s2161,s149,s444,s6,s2,s2441,s158,s138,s1846,s13,s20,s62,s696]) ).
cnf(s2451,plain,
( spl0_134
| ~ spl0_153
| ~ spl0_89
| spl0_22
| ~ spl0_2 ),
inference(rat,[],[s579,s2005,s580,s2447,s521,s20,s13,s436,s2414,s569,s138]) ).
cnf(s2452,plain,
( ~ spl0_153
| ~ spl0_89
| spl0_22
| ~ spl0_2 ),
inference(rat,[],[s867,s2020,s390,s2417,s582,s601,s2451,s2341,s569,s436,s158,s138,s62,s696]) ).
cnf(s2453,plain,
( ~ spl0_121
| ~ spl0_118
| ~ spl0_157
| spl0_153
| ~ spl0_89
| ~ spl0_26 ),
inference(rat,[],[s583,s2417,s536,s579,s1901,s1405,s580,s514,s1314,s158]) ).
cnf(s2454,plain,
( ~ spl0_89
| spl0_22
| ~ spl0_2 ),
inference(rat,[],[s390,s727,s515,s640,s639,s389,s480,s412,s521,s2453,s2341,s435,s509,s519,s2452,s158,s138,s62,s696]) ).
cnf(s2455,plain,
( spl0_22
| ~ spl0_2 ),
inference(rat,[],[s1807,s1479,s161,s2432,s2438,s509,s2450,s2448,s2454,s158,s138]) ).
cnf(s2456,plain,
( spl0_139
| spl0_304
| spl0_195
| ~ spl0_66
| spl0_150
| ~ spl0_153
| ~ spl0_98 ),
inference(rat,[],[s390,s582,s2350,s410,s1238,s2251,s2414,s62]) ).
cnf(s2457,plain,
( spl0_121
| spl0_131
| spl0_6
| ~ spl0_2 ),
inference(rat,[],[s27,s49,s2182,s533,s521,s23,s464]) ).
cnf(s2458,plain,
( ~ spl0_121
| spl0_150
| ~ spl0_153
| ~ spl0_26 ),
inference(rat,[],[s768,s867,s2417,s390,s1901,s593,s580,s550,s2341,s436,s62,s696]) ).
cnf(s2459,plain,
( ~ spl0_153
| ~ spl0_26
| ~ spl0_98
| ~ spl0_2 ),
inference(rat,[],[s768,s867,s2417,s390,s483,s492,s2458,s2341,s436,s1112,s2455,s62,s696]) ).
cnf(s2460,plain,
( ~ spl0_26
| ~ spl0_98
| ~ spl0_2 ),
inference(rat,[],[s640,s727,s639,s390,s389,s515,s480,s412,s521,s2453,s2341,s435,s509,s519,s2459,s557,s2455,s62,s696]) ).
cnf(s2461,plain,
( spl0_131
| spl0_6
| ~ spl0_118
| ~ spl0_153
| ~ spl0_98
| ~ spl0_2 ),
inference(rat,[],[s2128,s572,s66,s1720,s1697,s2132,s1238,s2417,s1587,s763,s583,s1849,s390,s536,s1815,s389,s593,s1827,s479,s550,s2457,s2414,s1112,s2426,s25,s2455,s464,s62,s793]) ).
cnf(s2462,plain,
( spl0_121
| ~ spl0_118
| ~ spl0_153
| ~ spl0_98
| ~ spl0_2 ),
inference(rat,[],[s768,s867,s2417,s390,s2050,s492,s521,s557,s1112,s2455,s62]) ).
cnf(s2463,plain,
( spl0_6
| ~ spl0_118
| ~ spl0_153
| ~ spl0_98
| ~ spl0_2 ),
inference(rat,[],[s1845,s2461,s2462]) ).
cnf(s2464,plain,
( ~ spl0_118
| ~ spl0_148
| ~ spl0_153
| ~ spl0_98
| ~ spl0_2 ),
inference(rat,[],[s66,s2173,s478,s2330,s477,s2463,s536,s389,s1827,s479,s2462,s2455,s62]) ).
cnf(s2465,plain,
( spl0_6
| ~ spl0_124
| spl0_26
| ~ spl0_2 ),
inference(rat,[],[s2168,s2187,s1052,s45,s27,s49,s3,s23,s6,s2441,s2425,s531,s2080,s557,s2455]) ).
cnf(s2466,plain,
( ~ spl0_148
| ~ spl0_153
| ~ spl0_98
| ~ spl0_2 ),
inference(rat,[],[s1458,s389,s595,s837,s579,s1827,s2270,s2456,s11,s1697,s1774,s148,s66,s2426,s2161,s2173,s2190,s2187,s22,s2330,s477,s2465,s531,s2080,s2341,s2464,s6,s2,s2441,s557,s2460,s1112,s2455,s62,s696]) ).
cnf(s2467,plain,
( ~ spl0_118
| ~ spl0_153
| ~ spl0_98
| ~ spl0_2 ),
inference(rat,[],[s742,s741,s390,s2426,s389,s593,s22,s477,s479,s550,s2463,s2462,s1112,s2455,s2416,s2466,s62]) ).
cnf(s2468,plain,
( spl0_121
| ~ spl0_153
| ~ spl0_98
| ~ spl0_2 ),
inference(rat,[],[s2167,s390,s2311,s492,s521,s2416,s2465,s430,s11,s1563,s998,s2341,s2467,s2128,s66,s91,s2323,s2455,s1335,s2186,s2460,s6,s2441,s2466,s62,s696]) ).
cnf(s2469,plain,
( ~ spl0_153
| ~ spl0_98
| ~ spl0_2 ),
inference(rat,[],[s741,s390,s389,s593,s479,s550,s2468,s742,s2426,s22,s998,s2465,s2341,s2467,s2128,s66,s91,s2323,s2416,s2466,s1112,s1335,s2455,s2186,s2460,s6,s2441,s62,s696]) ).
cnf(s2470,plain,
( spl0_6
| ~ spl0_98
| ~ spl0_2 ),
inference(rat,[],[s2235,s12,s2426,s2332,s25,s23,s40,s2460,s73,s1841,s2469,s2455]) ).
cnf(s2471,plain,
( spl0_121
| ~ spl0_98
| ~ spl0_2 ),
inference(rat,[],[s391,s389,s2050,s480,s521,s2341,s2080,s557,s430,s1807,s509,s2469,s2235,s12,s2426,s22,s2470,s2455,s62,s696]) ).
cnf(s2472,plain,
( ~ spl0_98
| ~ spl0_2 ),
inference(rat,[],[s66,s2130,s478,s1456,s1999,s389,s1091,s514,s1827,s2471,s438,s2426,s430,s22,s1807,s2470,s2341,s2080,s509,s2469,s557,s2455,s62,s696]) ).
cnf(s2473,plain,
~ spl0_2,
inference(rat,[],[s2235,s12,s2426,s2332,s73,s40,s25,s23,s156,s158,s1078,s2472,s2455]) ).
cnf(s2474,plain,
spl0_1,
inference(rat,[],[s1,s2473]) ).
cnf(s2475,plain,
( ~ spl0_134
| spl0_150
| ~ spl0_26
| ~ spl0_118
| ~ spl0_153
| ~ spl0_98 ),
inference(rat,[],[s867,s2020,s390,s2417,s582,s601,s62]) ).
cnf(s2476,plain,
( ~ spl0_148
| ~ spl0_26
| ~ spl0_127
| ~ spl0_118
| spl0_6
| spl0_22
| ~ spl0_153
| ~ spl0_98 ),
inference(rat,[],[s1055,s1864,s1394,s2189,s2249,s410,s2475,s569,s149,s1978,s2339,s6,s1768,s1335,s20,s2474,s62]) ).
cnf(s2477,plain,
( spl0_131
| spl0_203
| ~ spl0_207
| ~ spl0_164
| spl0_124
| ~ spl0_26
| spl0_121
| ~ spl0_118
| ~ spl0_14 ),
inference(rat,[],[s1736,s1857,s390,s594,s888,s66,s50,s33,s9,s27,s6,s2182,s2189,s62,s464]) ).
cnf(s2478,plain,
( ~ spl0_26
| spl0_121
| ~ spl0_118
| spl0_6
| spl0_22
| ~ spl0_153
| ~ spl0_98 ),
inference(rat,[],[s2007,s390,s2417,s1185,s572,s1801,s2339,s992,s2477,s1055,s1394,s2249,s2429,s410,s2426,s2475,s80,s569,s846,s2438,s2416,s2476,s436,s1846,s13,s20,s23,s161,s412,s62,s464,s2474]) ).
cnf(s2479,plain,
( spl0_131
| ~ spl0_19
| ~ spl0_148
| spl0_121
| ~ spl0_118
| ~ spl0_14
| ~ spl0_86
| ~ spl0_153
| ~ spl0_98 ),
inference(rat,[],[s2173,s66,s2346,s1955,s2020,s75,s2417,s867,s850,s572,s390,s642,s582,s47,s410,s27,s2249,s2182,s2189,s412,s6,s1768,s1335,s2429,s62,s2474]) ).
cnf(s2480,plain,
( ~ spl0_148
| spl0_121
| ~ spl0_118
| spl0_6
| spl0_22
| ~ spl0_153
| ~ spl0_98 ),
inference(rat,[],[s2350,s390,s1238,s2414,s593,s1055,s2346,s1892,s1864,s2190,s2479,s1978,s2339,s1768,s1335,s1846,s13,s23,s1695,s40,s2478,s20,s62,s2474]) ).
cnf(s2481,plain,
( spl0_131
| ~ spl0_89
| ~ spl0_164
| ~ spl0_247
| spl0_26
| spl0_121
| ~ spl0_118
| ~ spl0_14
| ~ spl0_153
| ~ spl0_98 ),
inference(rat,[],[s1454,s743,s389,s839,s864,s1004,s867,s2227,s390,s120,s582,s1140,s410,s1573,s1471,s2417,s2193,s572,s642,s47,s1927,s27,s2182,s529,s40,s62,s464]) ).
cnf(s2482,plain,
( spl0_134
| ~ spl0_19
| ~ spl0_131
| ~ spl0_247
| ~ spl0_127
| spl0_6
| ~ spl0_24 ),
inference(rat,[],[s2339,s1801,s854,s572,s1394,s1471,s2249,s410,s2429,s2474,s464]) ).
cnf(s2483,plain,
( spl0_150
| ~ spl0_131
| spl0_148
| spl0_304
| ~ spl0_247
| spl0_26
| ~ spl0_127
| ~ spl0_118
| spl0_58
| spl0_6
| ~ spl0_24
| ~ spl0_153
| ~ spl0_98 ),
inference(rat,[],[s91,s2186,s66,s6,s993,s854,s1901,s1238,s1753,s763,s390,s582,s2482,s2426,s80,s2309,s2414,s1469,s16,s62]) ).
cnf(s2484,plain,
( ~ spl0_115
| ~ spl0_150
| ~ spl0_89
| ~ spl0_247
| ~ spl0_307 ),
inference(rat,[],[s1471,s410,s570,s1415]) ).
cnf(s2485,plain,
( spl0_134
| ~ spl0_114
| ~ spl0_131
| ~ spl0_164
| spl0_26
| spl0_121
| spl0_6
| spl0_22 ),
inference(rat,[],[s71,s795,s2332,s2193,s27,s2339,s2235,s877,s1926,s1978,s12,s2426,s1750,s2482,s410,s20,s23,s412,s40,s1404,s739,s2474,s62]) ).
cnf(s2486,plain,
( spl0_19
| ~ spl0_134
| ~ spl0_114
| spl0_148
| spl0_26
| spl0_6
| spl0_22 ),
inference(rat,[],[s1057,s1052,s446,s430,s735,s2134,s1720,s795,s1106,s27,s2339,s1926,s1978,s23,s1404,s464,s2474,s62]) ).
cnf(s2488,plain,
( ~ spl0_210
| ~ spl0_143
| ~ spl0_19
| spl0_162
| spl0_185
| ~ spl0_376 ),
inference(rat,[],[s2027,s1337,s2353,s2192,s2417,s572,s2429]) ).
cnf(s2489,plain,
( spl0_121
| ~ spl0_118
| spl0_6
| spl0_22
| ~ spl0_153
| ~ spl0_98 ),
inference(rat,[],[s1343,s1863,s1135,s2149,s1064,s1281,s1338,s960,s1895,s2198,s2488,s1955,s66,s1458,s993,s389,s579,s1590,s2227,s531,s120,s2169,s1140,s6,s1573,s1106,s2193,s502,s11,s1563,s430,s574,s1059,s2429,s2486,s2485,s867,s390,s2484,s2483,s710,s2190,s2481,s2438,s2416,s2480,s1695,s1404,s2325,s40,s2478,s412,s1335,s1846,s13,s20,s23,s161,s2407,s62,s793,s2474]) ).
cnf(s2490,plain,
( spl0_53
| ~ spl0_36
| ~ spl0_19
| ~ spl0_9
| ~ spl0_131
| ~ spl0_43
| ~ spl0_89
| spl0_148
| ~ spl0_114
| ~ spl0_112
| ~ spl0_118
| ~ spl0_86
| ~ spl0_307 ),
inference(rat,[],[s1655,s2400,s2406,s949,s946,s1835,s1744,s2199,s1650,s2155,s1338,s960,s1955,s66,s993,s579,s536,s757,s583,s402,s2417,s2488,s572,s502,s2349,s11,s508,s1563,s430,s704,s867,s2416,s2190,s793]) ).
cnf(s2491,plain,
( ~ spl0_131
| spl0_26
| spl0_148
| ~ spl0_114
| ~ spl0_112
| ~ spl0_121
| ~ spl0_118
| spl0_6
| spl0_22
| ~ spl0_307
| ~ spl0_98 ),
inference(rat,[],[s1901,s993,s1753,s66,s2414,s91,s1059,s843,s574,s2490,s1979,s1978,s2186,s2339,s6,s428,s1846,s13,s2438,s161,s40,s1469,s16,s20,s62,s2474]) ).
cnf(s2492,plain,
( spl0_131
| ~ spl0_164
| ~ spl0_114
| ~ spl0_112 ),
inference(rat,[],[s1454,s1004,s743,s529,s464]) ).
cnf(s2493,plain,
( spl0_148
| ~ spl0_118
| spl0_6
| spl0_22
| ~ spl0_153
| ~ spl0_98 ),
inference(rat,[],[s569,s2458,s2491,s2492,s2438,s2416,s1335,s161,s389,s479,s390,s593,s550,s2489,s62]) ).
cnf(s2495,plain,
( ~ spl0_224
| ~ spl0_300
| spl0_315
| ~ spl0_133
| ~ spl0_304
| ~ spl0_36 ),
inference(rat,[],[s946,s1835,s2406,s1293,s1655,s2400,s2084,s793]) ).
cnf(s2496,plain,
( ~ spl0_223
| ~ spl0_161
| ~ spl0_193
| ~ spl0_121
| ~ spl0_98 ),
inference(rat,[],[s1544,s1889,s1534]) ).
cnf(s2497,plain,
( ~ spl0_210
| ~ spl0_224
| ~ spl0_133
| ~ spl0_304
| ~ spl0_376
| ~ spl0_19
| ~ spl0_148 ),
inference(rat,[],[s1231,s2495,s2353,s1907,s2429,s464]) ).
cnf(s2498,plain,
( ~ spl0_230
| spl0_259
| ~ spl0_116
| ~ spl0_245
| ~ spl0_36
| spl0_185
| ~ spl0_5 ),
inference(rat,[],[s1337,s1034,s1551,s2406,s1633,s1655,s572]) ).
cnf(s2499,plain,
( ~ spl0_131
| ~ spl0_85
| ~ spl0_245
| ~ spl0_193
| ~ spl0_19
| ~ spl0_148
| ~ spl0_114
| ~ spl0_112
| ~ spl0_121
| ~ spl0_118
| ~ spl0_5
| ~ spl0_24
| ~ spl0_307
| ~ spl0_98 ),
inference(rat,[],[s1835,s949,s1744,s2400,s1632,s2498,s2200,s2497,s1338,s2496,s1856,s998,s2347,s1084,s18,s1872,s1720,s993,s572,s1901,s1753,s1238,s1646,s763,s2414,s1055,s2346,s1864,s2190,s704,s6,s1768,s2429,s793,s1534,s464]) ).
cnf(s2500,plain,
( ~ spl0_150
| spl0_131
| ~ spl0_19
| ~ spl0_9
| ~ spl0_148
| ~ spl0_112
| ~ spl0_86 ),
inference(rat,[],[s1720,s850,s1476,s75,s1456,s1955,s430,s66,s574,s2173,s1059,s2346,s2429,s464]) ).
cnf(s2501,plain,
( spl0_26
| ~ spl0_19
| ~ spl0_148
| ~ spl0_114
| ~ spl0_112
| ~ spl0_121
| ~ spl0_118
| ~ spl0_5
| spl0_22
| ~ spl0_307
| ~ spl0_98 ),
inference(rat,[],[s1836,s1837,s574,s1959,s2006,s820,s1960,s11,s1338,s1562,s1720,s2496,s572,s1901,s1753,s2414,s2500,s1849,s529,s2499,s1469,s2321,s2325,s16,s1846,s13,s20,s704,s6,s1768,s2429,s624,s464,s2474]) ).
cnf(s2502,plain,
( ~ spl0_118
| spl0_6
| spl0_22
| ~ spl0_153
| ~ spl0_98 ),
inference(rat,[],[s569,s2458,s2501,s149,s1978,s2339,s1768,s2493,s390,s389,s593,s479,s550,s2489,s1335,s3,s62,s2474]) ).
cnf(s2504,plain,
( ~ spl0_253
| ~ spl0_183
| ~ spl0_193
| ~ spl0_307 ),
inference(rat,[],[s1632,s1126,s1744,s1534]) ).
cnf(s2505,plain,
( ~ spl0_224
| ~ spl0_140
| ~ spl0_133
| ~ spl0_36
| ~ spl0_236 ),
inference(rat,[],[s1655,s2400,s2406,s949,s946]) ).
cnf(s2506,plain,
( ~ spl0_131
| spl0_121
| spl0_148
| ~ spl0_114
| ~ spl0_236
| spl0_26
| ~ spl0_124
| spl0_6
| spl0_22 ),
inference(rat,[],[s1544,s1593,s1338,s2505,s757,s402,s389,s579,s1610,s2227,s120,s1140,s1573,s2417,s2193,s572,s502,s2349,s11,s508,s1563,s430,s998,s2429,s2486,s2485,s710,s40,s2325,s2416,s2438,s161,s1534,s793,s62,s2474]) ).
cnf(s2507,plain,
( spl0_121
| spl0_148
| ~ spl0_114
| ~ spl0_236
| spl0_26
| ~ spl0_124
| spl0_6
| spl0_22 ),
inference(rat,[],[s1573,s1140,s2193,s120,s642,s1610,s47,s1927,s389,s27,s2492,s2182,s2506,s23,s40,s2416,s2438,s161,s62]) ).
cnf(s2508,plain,
( spl0_148
| ~ spl0_114
| spl0_6
| spl0_22
| ~ spl0_153
| ~ spl0_98 ),
inference(rat,[],[s1655,s1632,s2196,s1889,s1338,s2505,s757,s402,s2417,s572,s502,s2349,s11,s508,s1563,s430,s998,s1979,s2338,s2339,s428,s2492,s704,s389,s479,s2507,s2438,s2416,s161,s1835,s2504,s1622,s2321,s2325,s436,s2341,s2502,s1335,s1534,s62,s2474,s793,s696]) ).
cnf(s2509,plain,
( spl0_121
| ~ spl0_61
| ~ spl0_84
| ~ spl0_19
| ~ spl0_148
| ~ spl0_124 ),
inference(rat,[],[s1476,s1720,s1456,s850,s1864,s389,s1055,s1610,s2227,s149,s430,s998,s2429,s464,s62]) ).
cnf(s2510,plain,
( ~ spl0_223
| ~ spl0_203
| ~ spl0_121
| ~ spl0_354
| ~ spl0_98 ),
inference(rat,[],[s2196,s1005,s1889]) ).
cnf(s2511,plain,
( ~ spl0_131
| ~ spl0_112
| ~ spl0_121
| spl0_53
| ~ spl0_19
| ~ spl0_30
| ~ spl0_354
| ~ spl0_3
| ~ spl0_148
| ~ spl0_114
| ~ spl0_236
| ~ spl0_193
| ~ spl0_24
| ~ spl0_98 ),
inference(rat,[],[s1337,s2369,s1660,s1720,s1632,s572,s1655,s404,s2406,s2497,s2505,s946,s1338,s2510,s410,s392,s1238,s2005,s763,s2414,s1055,s2346,s1864,s2190,s2429,s735,s2349,s508,s430,s704,s1534,s464]) ).
cnf(s2512,plain,
( ~ spl0_114
| spl0_6
| spl0_22
| ~ spl0_153
| ~ spl0_98 ),
inference(rat,[],[s1476,s1720,s1456,s850,s2511,s389,s479,s2509,s430,s998,s75,s2429,s120,s1955,s1978,s997,s18,s66,s2338,s2339,s2,s6,s1862,s1768,s2508,s1846,s13,s20,s23,s40,s1835,s2504,s1622,s2321,s2325,s436,s2341,s2502,s1335,s464,s62,s2474,s793,s696]) ).
cnf(s2513,plain,
( spl0_6
| spl0_22
| ~ spl0_153
| ~ spl0_98 ),
inference(rat,[],[s1471,s410,s651,s1415,s390,s2512,s1622,s1404,s2321,s436,s2341,s2502,s1335,s62,s2474,s696]) ).
cnf(s2514,plain,
( ~ spl0_224
| ~ spl0_236
| ~ spl0_207
| ~ spl0_133
| ~ spl0_6
| ~ spl0_98 ),
inference(rat,[],[s1820,s1693,s2406,s942,s946]) ).
cnf(s2515,plain,
( spl0_26
| spl0_121
| spl0_148
| ~ spl0_114
| spl0_53
| ~ spl0_6
| spl0_22
| ~ spl0_307
| ~ spl0_98 ),
inference(rat,[],[s959,s1005,s1338,s2514,s1835,s2504,s824,s742,s741,s389,s837,s1702,s2426,s66,s2429,s2128,s1990,s572,s1471,s1469,s1404,s2325,s16,s20,s2349,s508,s2416,s707,s2249,s412,s410,s1087,s2319,s2311,s1720,s723,s735,s430,s2432,s1479,s793,s62,s2474,s464]) ).
cnf(s2516,plain,
( spl0_121
| spl0_148
| ~ spl0_114
| spl0_22
| ~ spl0_153
| ~ spl0_98 ),
inference(rat,[],[s389,s837,s740,s2270,s816,s2426,s66,s2429,s2128,s2414,s762,s569,s436,s2515,s1087,s2319,s1335,s2432,s1479,s11,s1563,s2311,s1720,s723,s735,s430,s477,s2513,s62,s793,s2474,s464]) ).
cnf(s2517,plain,
( spl0_148
| ~ spl0_114
| spl0_22
| ~ spl0_153
| ~ spl0_98 ),
inference(rat,[],[s436,s1404,s2007,s1471,s2417,s1990,s1091,s2516,s410,s2311,s1720,s723,s1846,s13,s20,s735,s430,s477,s2513,s2474,s464]) ).
cnf(s2518,plain,
( ~ spl0_134
| ~ spl0_47
| ~ spl0_33
| spl0_210
| spl0_131
| ~ spl0_114
| spl0_53
| ~ spl0_6
| spl0_22
| ~ spl0_98 ),
inference(rat,[],[s2094,s1551,s531,s1633,s1590,s1632,s389,s1660,s820,s1337,s708,s2321,s2325,s16,s11,s2369,s1747,s277,s2233,s1562,s1720,s1067,s2311,s735,s2349,s508,s430,s529,s793,s1534,s62,s2474,s464]) ).
cnf(s2519,plain,
( ~ spl0_114
| spl0_22
| ~ spl0_153
| ~ spl0_98 ),
inference(rat,[],[s436,s1404,s2007,s1471,s2417,s1990,s1720,s1476,s1456,s389,s1091,s479,s412,s2249,s410,s2518,s1955,s66,s2189,s2173,s2183,s2190,s6,s2330,s1768,s2517,s1335,s1846,s13,s20,s430,s477,s2513,s2474,s464,s62]) ).
cnf(s2520,plain,
( ~ spl0_112
| spl0_124
| ~ spl0_27
| spl0_143
| spl0_203
| ~ spl0_17
| ~ spl0_119
| spl0_53 ),
inference(rat,[],[s66,s2130,s2233,s529,s1984,s820,s430,s1720,s464]) ).
cnf(s2521,plain,
( ~ spl0_131
| spl0_26
| spl0_203
| spl0_65 ),
inference(rat,[],[s91,s2186,s66,s6,s2130,s992]) ).
cnf(s2522,plain,
( spl0_148
| ~ spl0_207
| ~ spl0_115
| spl0_53
| ~ spl0_6
| spl0_22 ),
inference(rat,[],[s1448,s1543,s1577,s1339,s1403,s1014,s1666,s1441,s1544,s1468,s1338,s2006,s2406,s1579,s1691,s6,s2189,s529,s2521,s1720,s2321,s1185,s762,s1451,s1055,s2429,s2426,s80,s11,s2309,s1563,s1319,s579,s444,s832,s88,s656,s1394,s20,s593,s2407,s1534,s464,s2474]) ).
cnf(s2523,plain,
( spl0_22
| ~ spl0_153
| ~ spl0_98 ),
inference(rat,[],[s2189,s6,s1892,s1768,s2522,s2249,s412,s550,s410,s593,s1415,s390,s2519,s477,s2513,s1335,s2474,s62]) ).
cnf(s2525,plain,
( ~ spl0_19
| ~ spl0_53
| ~ spl0_203
| ~ spl0_131
| spl0_121
| ~ spl0_43
| ~ spl0_114
| ~ spl0_14
| spl0_150 ),
inference(rat,[],[s1901,s2417,s993,s768,s997,s867,s120,s2341,s2227,s998,s1055,s2429,s696]) ).
cnf(s2526,plain,
( spl0_19
| ~ spl0_131
| spl0_121
| spl0_26
| spl0_65
| ~ spl0_14
| ~ spl0_22 ),
inference(rat,[],[s2193,s1573,s994,s2128,s66,s91,s2186,s6,s2171,s2332,s88,s27,s2235,s80,s1926,s12,s2426,s557,s40,s62]) ).
cnf(s2527,plain,
( ~ spl0_131
| spl0_121
| spl0_26
| ~ spl0_114
| spl0_65
| spl0_148
| ~ spl0_14
| spl0_150
| ~ spl0_22 ),
inference(rat,[],[s2193,s1573,s502,s1140,s11,s120,s1563,s430,s2227,s2525,s1055,s2429,s2526,s2521,s2416,s40]) ).
cnf(s2528,plain,
( spl0_121
| spl0_26
| ~ spl0_114
| spl0_65
| spl0_148
| ~ spl0_14
| spl0_150
| ~ spl0_22 ),
inference(rat,[],[s6,s50,s2197,s27,s973,s2182,s2527,s2416,s763,s40,s2425]) ).
cnf(s2529,plain,
( spl0_26
| ~ spl0_114
| spl0_148
| ~ spl0_14
| ~ spl0_153
| ~ spl0_98 ),
inference(rat,[],[s583,s536,s2417,s2341,s1901,s998,s993,s2128,s66,s91,s2186,s6,s430,s428,s1453,s2492,s1083,s389,s1827,s479,s2528,s2414,s1112,s2416,s2323,s2523,s1335,s2087,s696,s62]) ).
cnf(s2530,plain,
( ~ spl0_114
| spl0_148
| ~ spl0_14
| ~ spl0_153
| ~ spl0_98 ),
inference(rat,[],[s874,s837,s389,s2270,s740,s11,s816,s2426,s148,s66,s2429,s2128,s572,s877,s1901,s1750,s2417,s410,s768,s2475,s867,s739,s2341,s2458,s436,s2529,s2414,s1112,s2523,s2416,s62,s696]) ).
cnf(s2531,plain,
( ~ spl0_131
| spl0_26
| spl0_121
| spl0_134
| spl0_65
| spl0_6
| ~ spl0_22 ),
inference(rat,[],[s2204,s572,s122,s1801,s2227,s2339,s1055,s2429,s585,s2526,s2521,s23,s410,s412,s40,s464,s2474]) ).
cnf(s2532,plain,
( spl0_26
| spl0_121
| spl0_134
| spl0_65
| spl0_6
| ~ spl0_22 ),
inference(rat,[],[s50,s6,s27,s2189,s2182,s2531,s2425,s23,s2249,s412,s410,s2474]) ).
cnf(s2533,plain,
( ~ spl0_112
| ~ spl0_125
| spl0_139
| ~ spl0_118 ),
inference(rat,[],[s583,s536]) ).
cnf(s2534,plain,
( ~ spl0_224
| ~ spl0_125
| spl0_139
| ~ spl0_207
| ~ spl0_22 ),
inference(rat,[],[s1167,s2065,s2363,s1693,s2160,s942,s557]) ).
cnf(s2536,plain,
( ~ spl0_221
| ~ spl0_309
| ~ spl0_227
| ~ spl0_207 ),
inference(rat,[],[s1448,s1543,s1577,s2407]) ).
cnf(s2537,plain,
( ~ spl0_19
| ~ spl0_17
| ~ spl0_26
| ~ spl0_207
| ~ spl0_119
| ~ spl0_115
| spl0_6
| ~ spl0_22
| ~ spl0_98 ),
inference(rat,[],[s1448,s1881,s1771,s1450,s2356,s1916,s1361,s1339,s2536,s2023,s2400,s1441,s2065,s2371,s1005,s1468,s1338,s2534,s2417,s1055,s572,s1185,s1838,s1778,s2339,s6,s2429,s585,s557,s23,s1319,s2122,s2474]) ).
cnf(s2538,plain,
( spl0_4
| spl0_232
| ~ spl0_223
| ~ spl0_36
| ~ spl0_26
| ~ spl0_207
| spl0_185
| spl0_6
| ~ spl0_22
| ~ spl0_98 ),
inference(rat,[],[s1448,s1881,s1771,s1450,s2356,s1916,s1361,s1339,s2536,s2023,s2400,s1441,s2065,s2371,s1778,s2339,s557,s1468,s2122,s2474]) ).
cnf(s2539,plain,
( ~ spl0_143
| ~ spl0_36
| spl0_139
| ~ spl0_41
| ~ spl0_17
| spl0_53
| ~ spl0_118
| ~ spl0_26
| ~ spl0_207
| ~ spl0_115
| spl0_6
| ~ spl0_22
| ~ spl0_98 ),
inference(rat,[],[s2168,s1258,s531,s1263,s597,s2428,s2538,s1005,s1468,s1338,s389,s2534,s391,s2417,s572,s1185,s23,s3,s1319,s430,s2407,s62]) ).
cnf(s2540,plain,
( spl0_143
| spl0_133
| ~ spl0_20
| ~ spl0_17
| spl0_53
| spl0_124
| spl0_121
| spl0_185
| spl0_134
| spl0_6
| ~ spl0_22 ),
inference(rat,[],[s1258,s1263,s2168,s1468,s531,s1338,s597,s956,s389,s2428,s399,s2339,s1720,s1801,s23,s3,s2407,s2474,s62,s464]) ).
cnf(s2541,plain,
( spl0_53
| spl0_148
| spl0_6
| ~ spl0_153
| ~ spl0_98 ),
inference(rat,[],[s1338,s1468,s2534,s1263,s2428,s2417,s1258,s1778,s1901,s2168,s2164,s837,s531,s389,s1559,s1999,s893,s2270,s478,s91,s66,s2128,s2539,s2540,s1184,s656,s88,s2235,s80,s12,s2426,s2537,s11,s1563,s2414,s1112,s3,s1319,s2249,s412,s410,s2341,s436,s2532,s550,s593,s1415,s390,s2530,s23,s2323,s1335,s2523,s2407,s2474,s62,s696]) ).
cnf(s2542,plain,
( spl0_148
| spl0_6
| ~ spl0_153
| ~ spl0_98 ),
inference(rat,[],[s855,s389,s2182,s1077,s27,s799,s47,s2339,s642,s1801,s571,s574,s2541,s550,s593,s1415,s390,s2530,s1335,s23,s62,s2474,s464]) ).
cnf(s2543,plain,
( ~ spl0_124
| ~ spl0_36
| ~ spl0_353
| ~ spl0_22 ),
inference(rat,[],[s2164,s531,s998,s2080,s557]) ).
cnf(s2544,plain,
( ~ spl0_116
| ~ spl0_36
| ~ spl0_358
| ~ spl0_22 ),
inference(rat,[],[s1801,s572,s2050,s557,s464]) ).
cnf(s2545,plain,
( ~ spl0_114
| ~ spl0_125
| ~ spl0_118
| spl0_150 ),
inference(rat,[],[s2020,s867]) ).
cnf(s2546,plain,
( ~ spl0_115
| ~ spl0_127
| ~ spl0_148
| ~ spl0_307 ),
inference(rat,[],[s2189,s2249,s1892,s410,s593,s1415,s6,s1768,s2474]) ).
cnf(s2547,plain,
( ~ spl0_36
| ~ spl0_114
| ~ spl0_353
| ~ spl0_358
| spl0_150
| ~ spl0_22 ),
inference(rat,[],[s2545,s2417,s2341,s2544,s2543,s696]) ).
cnf(s2548,plain,
( ~ spl0_236
| ~ spl0_224
| ~ spl0_140
| ~ spl0_43
| ~ spl0_149
| ~ spl0_127
| ~ spl0_22 ),
inference(rat,[],[s2065,s2400,s2206,s949,s938,s557]) ).
cnf(s2549,plain,
( ~ spl0_253
| ~ spl0_166
| ~ spl0_354
| ~ spl0_307 ),
inference(rat,[],[s2196,s1837,s1744]) ).
cnf(s2550,plain,
( ~ spl0_223
| ~ spl0_161
| ~ spl0_203
| ~ spl0_31 ),
inference(rat,[],[s959,s1005]) ).
cnf(s2551,plain,
( spl0_116
| ~ spl0_224
| ~ spl0_112
| spl0_177
| ~ spl0_43
| ~ spl0_32
| ~ spl0_149
| ~ spl0_114
| ~ spl0_127
| ~ spl0_354
| ~ spl0_22
| ~ spl0_307 ),
inference(rat,[],[s1836,s2549,s2548,s574,s757,s2162,s402,s2241,s2417,s624]) ).
cnf(s2552,plain,
( spl0_26
| spl0_36
| spl0_121
| ~ spl0_354
| ~ spl0_148
| ~ spl0_14
| spl0_150
| ~ spl0_22
| ~ spl0_307 ),
inference(rat,[],[s1835,s2548,s1744,s1736,s1693,s1857,s2341,s942,s2080,s2249,s1077,s410,s2050,s2551,s1338,s2550,s389,s712,s579,s839,s1864,s2227,s2170,s2182,s120,s27,s1927,s2335,s40,s557,s763,s390,s2546,s412,s997,s2270,s11,s148,s2426,s2429,s66,s2128,s793,s696,s2474,s62]) ).
cnf(s2553,plain,
( spl0_121
| spl0_6
| ~ spl0_153
| ~ spl0_98 ),
inference(rat,[],[s949,s2400,s1835,s2065,s1744,s1693,s942,s1338,s2550,s1990,s1901,s2249,s2417,s714,s1801,s410,s1736,s2545,s2475,s1857,s2341,s436,s2552,s2270,s11,s2426,s148,s66,s2429,s2128,s2547,s390,s2546,s412,s557,s1112,s2523,s23,s2339,s2338,s1778,s1768,s2542,s1335,s793,s2474,s464,s696,s62]) ).
cnf(s2554,plain,
( spl0_116
| ~ spl0_224
| spl0_133
| ~ spl0_20
| ~ spl0_114
| ~ spl0_138
| ~ spl0_354
| ~ spl0_307 ),
inference(rat,[],[s2549,s1836,s574,s1963,s430,s2009,s860,s2417,s624]) ).
cnf(s2556,plain,
( ~ spl0_118
| ~ spl0_120
| ~ spl0_224
| ~ spl0_33
| ~ spl0_114
| ~ spl0_43
| ~ spl0_112
| spl0_139
| ~ spl0_354
| ~ spl0_22
| ~ spl0_307 ),
inference(rat,[],[s2065,s1693,s2400,s2063,s949,s1835,s1736,s2549,s1857,s574,s2080,s478,s2079,s536,s557,s793]) ).
cnf(s2557,plain,
( spl0_6
| ~ spl0_153
| ~ spl0_98 ),
inference(rat,[],[s2010,s1337,s1487,s1551,s1150,s1772,s2399,s2084,s2400,s2065,s1693,s2063,s1835,s2549,s574,s978,s2164,s531,s2080,s2341,s2556,s2024,s581,s410,s2050,s2554,s1338,s2510,s1864,s1697,s1184,s12,s2426,s66,s2429,s2128,s1238,s2547,s763,s704,s390,s40,s1851,s389,s593,s2458,s1827,s479,s550,s2553,s1778,s2338,s2339,s1768,s2542,s1335,s557,s2414,s1112,s2523,s793,s696,s62,s2474]) ).
cnf(s2558,plain,
( ~ spl0_114
| ~ spl0_70
| ~ spl0_164
| spl0_54
| ~ spl0_32
| spl0_53
| ~ spl0_167 ),
inference(rat,[],[s656,s839,s1184,s389,s2349,s741,s508,s430,s62]) ).
cnf(s2559,plain,
( ~ spl0_9
| ~ spl0_161
| spl0_26
| ~ spl0_207
| spl0_65 ),
inference(rat,[],[s66,s91,s993,s2186,s2189]) ).
cnf(s2560,plain,
( spl0_26
| spl0_84
| spl0_121
| spl0_134
| ~ spl0_17
| spl0_65
| ~ spl0_32
| spl0_53
| ~ spl0_22 ),
inference(rat,[],[s389,s837,s1077,s2270,s597,s66,s2428,s1108,s6,s2559,s1901,s2204,s122,s40,s557,s2249,s412,s410,s62,s2474]) ).
cnf(s2561,plain,
( spl0_4
| ~ spl0_126
| ~ spl0_33
| spl0_148
| spl0_19
| spl0_150 ),
inference(rat,[],[s1122,s2161,s2085,s2,s6]) ).
cnf(s2562,plain,
( spl0_148
| ~ spl0_153
| ~ spl0_98 ),
inference(rat,[],[s2266,s1385,s2406,s1384,s1340,s1699,s1223,s1380,s1278,s902,s2016,s1185,s2271,s1170,s2269,s2400,s1349,s1231,s1634,s1014,s1150,s1677,s1023,s1135,s1177,s1339,s1178,s1089,s1289,s2428,s2561,s1468,s1338,s2534,s2417,s1901,s1351,s837,s531,s389,s1559,s1999,s893,s2270,s478,s91,s66,s2128,s2341,s762,s436,s2560,s2249,s2227,s412,s656,s1591,s550,s410,s593,s1319,s1415,s390,s2558,s88,s11,s80,s1563,s2323,s2416,s1335,s2414,s477,s742,s2426,s22,s2557,s1112,s2523,s2474,s2407,s464,s62,s696]) ).
cnf(s2563,plain,
( ~ spl0_153
| ~ spl0_98 ),
inference(rat,[],[s1720,s2311,s820,s410,s389,s2249,s837,s412,s579,s1827,s2270,s2456,s11,s1697,s1774,s148,s66,s2189,s529,s2161,s2173,s2190,s2,s6,s2330,s1768,s2562,s2426,s22,s477,s2557,s1112,s557,s2523,s1335,s2474,s62,s464]) ).
cnf(s2564,plain,
( spl0_53
| spl0_133
| ~ spl0_114 ),
inference(rat,[],[s2349,s508,s430]) ).
cnf(s2565,plain,
( ~ spl0_358
| ~ spl0_53
| spl0_121
| ~ spl0_114
| ~ spl0_89
| spl0_22
| ~ spl0_98 ),
inference(rat,[],[s601,s1801,s40,s572,s963,s2417,s1736,s2545,s1857,s2341,s1059,s998,s1979,s1978,s519,s2563,s574,s464,s696,s62]) ).
cnf(s2566,plain,
( spl0_121
| ~ spl0_114
| ~ spl0_89
| spl0_6
| spl0_22
| ~ spl0_98 ),
inference(rat,[],[s2182,s27,s855,s50,s389,s533,s551,s1758,s446,s799,s2339,s2565,s2564,s2165,s875,s412,s519,s2563,s23,s62,s464,s2474]) ).
cnf(s2567,plain,
( spl0_26
| ~ spl0_140
| ~ spl0_137
| ~ spl0_133
| spl0_53
| ~ spl0_183
| ~ spl0_131
| ~ spl0_36
| ~ spl0_354
| ~ spl0_307
| ~ spl0_121
| ~ spl0_14
| spl0_22
| ~ spl0_98 ),
inference(rat,[],[s2510,s1338,s2130,s2505,s66,s1835,s1608,s2504,s2243,s2325,s40,s1314,s2563,s793,s2474]) ).
cnf(s2568,plain,
( ~ spl0_26
| ~ spl0_157
| ~ spl0_121
| ~ spl0_89
| ~ spl0_98 ),
inference(rat,[],[s2341,s821,s2453,s2563,s696]) ).
cnf(s2569,plain,
( spl0_4
| ~ spl0_307
| ~ spl0_114
| spl0_6
| spl0_148
| spl0_22
| ~ spl0_98 ),
inference(rat,[],[s2567,s757,s402,s2417,s572,s502,s11,s2564,s1563,s430,s1622,s998,s2341,s2491,s2321,s2568,s2492,s389,s514,s531,s2133,s1979,s1828,s2338,s2339,s6,s519,s2563,s2416,s23,s2566,s2438,s161,s696,s2474,s62]) ).
cnf(s2570,plain,
( ~ spl0_4
| ~ spl0_114
| spl0_6
| spl0_148
| spl0_22
| ~ spl0_98 ),
inference(rat,[],[s66,s33,s1599,s2486,s2426,s1059,s574,s430,s1143,s633,s975,s1106,s815,s2133,s1758,s1808,s531,s514,s839,s389,s1065,s2492,s428,s519,s20,s2416,s2014,s2563,s2087,s2566,s2438,s161,s696,s2474,s62]) ).
cnf(s2571,plain,
( ~ spl0_114
| spl0_6
| spl0_148
| spl0_22
| ~ spl0_98 ),
inference(rat,[],[s2321,s1586,s2568,s531,s2133,s1828,s2569,s6,s2570,s2566,s519,s2563,s2438,s161,s2474]) ).
cnf(s2572,plain,
( spl0_134
| ~ spl0_19
| ~ spl0_358
| ~ spl0_127
| ~ spl0_115
| ~ spl0_24 ),
inference(rat,[],[s1055,s1394,s1185,s2249,s1801,s410,s2474,s464]) ).
cnf(s2573,plain,
( spl0_4
| ~ spl0_127
| ~ spl0_115
| spl0_6
| spl0_148
| spl0_22
| spl0_153 ),
inference(rat,[],[s646,s2334,s743,s11,s1454,s1563,s389,s1896,s1584,s1415,s2572,s531,s2133,s1978,s1833,s1828,s2339,s6,s519,s20,s2416,s593,s624,s62,s2474]) ).
cnf(s2574,plain,
( ~ spl0_157
| ~ spl0_4
| spl0_6
| spl0_148
| spl0_153 ),
inference(rat,[],[s11,s2334,s1563,s647,s799,s624]) ).
cnf(s2575,plain,
( spl0_121
| ~ spl0_115
| spl0_6
| spl0_148
| spl0_22
| spl0_153 ),
inference(rat,[],[s2334,s11,s646,s1563,s855,s389,s1851,s634,s2239,s66,s2182,s33,s27,s40,s50,s120,s533,s1140,s410,s833,s2249,s824,s1394,s2227,s975,s815,s2133,s1808,s531,s2574,s2573,s412,s519,s20,s23,s2438,s161,s593,s624,s62,s464,s2474,s696]) ).
cnf(s2576,plain,
( spl0_4
| spl0_6
| spl0_148
| spl0_22
| ~ spl0_98 ),
inference(rat,[],[s572,s1471,s1801,s410,s1415,s1586,s1404,s2321,s2568,s531,s2133,s1979,s1828,s2339,s6,s519,s2438,s161,s2575,s390,s2571,s2563,s464,s2474,s62]) ).
cnf(s2577,plain,
( ~ spl0_143
| ~ spl0_4
| ~ spl0_115
| ~ spl0_14
| spl0_153 ),
inference(rat,[],[s47,s27,s641,s795,s574,s513,s571]) ).
cnf(s2578,plain,
( ~ spl0_223
| ~ spl0_197
| ~ spl0_121
| ~ spl0_165
| ~ spl0_98 ),
inference(rat,[],[s1652,s1163,s2407]) ).
cnf(s2579,plain,
( spl0_6
| spl0_148
| spl0_22
| ~ spl0_98 ),
inference(rat,[],[s1126,s1658,s2400,s1707,s2363,s2006,s2160,s1338,s2578,s11,s1562,s1720,s2577,s2417,s570,s824,s975,s815,s2133,s1808,s531,s529,s2574,s428,s2576,s2575,s593,s1319,s390,s2571,s2438,s161,s23,s519,s2563,s20,s2407,s464,s696,s2474,s62]) ).
cnf(s2580,plain,
( ~ spl0_114
| spl0_121
| ~ spl0_9
| spl0_148
| spl0_22
| ~ spl0_98 ),
inference(rat,[],[s91,s144,s66,s657,s2515,s993,s2189,s1394,s839,s1584,s1087,s2249,s389,s2319,s410,s774,s2311,s1069,s502,s2087,s20,s2416,s1557,s430,s2432,s1479,s11,s1563,s1807,s531,s2133,s1828,s519,s2563,s2579,s412,s793,s2474,s62]) ).
cnf(s2581,plain,
( ~ spl0_26
| spl0_62
| ~ spl0_9
| ~ spl0_6
| ~ spl0_86
| ~ spl0_98 ),
inference(rat,[],[s66,s1955,s2128,s277,s762]) ).
cnf(s2582,plain,
( spl0_121
| ~ spl0_9
| spl0_148
| spl0_22
| ~ spl0_98 ),
inference(rat,[],[s410,s2249,s1415,s2522,s390,s2580,s412,s1807,s1586,s2321,s2581,s736,s2579,s1846,s13,s20,s531,s2133,s1828,s519,s2563,s2474,s62]) ).
cnf(s2583,plain,
( ~ spl0_9
| spl0_148
| spl0_22
| ~ spl0_98 ),
inference(rat,[],[s755,s632,s1990,s2311,s502,s2014,s390,s2484,s2309,s2521,s743,s1454,s389,s514,s1091,s2582,s1586,s1404,s2321,s2581,s11,s2432,s1563,s430,s1479,s1807,s736,s531,s2133,s1833,s1828,s519,s2563,s1846,s13,s20,s2416,s2579,s62,s2474]) ).
cnf(s2584,plain,
( spl0_53
| ~ spl0_307
| ~ spl0_114
| spl0_121
| spl0_148
| spl0_22
| ~ spl0_98 ),
inference(rat,[],[s837,s1087,s2270,s2319,s2426,s2311,s66,s2429,s502,s389,s33,s762,s11,s774,s2432,s2515,s1563,s430,s1479,s2416,s2579,s6,s2583,s1069,s2087,s519,s2563,s793,s2474,s62]) ).
cnf(s2585,plain,
( ~ spl0_53
| ~ spl0_176
| ~ spl0_155
| ~ spl0_147
| spl0_148
| spl0_22
| ~ spl0_98 ),
inference(rat,[],[s33,s66,s40,s1599,s1409,s1065,s815,s2426,s855,s839,s1059,s389,s975,s551,s2133,s1808,s446,s574,s1807,s519,s2563,s20,s2416,s2579,s6,s2583,s696,s62,s2474]) ).
cnf(s2586,plain,
( ~ spl0_114
| spl0_121
| spl0_148
| spl0_22
| ~ spl0_98 ),
inference(rat,[],[s1758,s2311,s1584,s502,s389,s11,s774,s2584,s1563,s430,s2585,s1069,s2165,s2087,s519,s2563,s2416,s2579,s412,s2474,s62]) ).
cnf(s2587,plain,
( ~ spl0_207
| ~ spl0_115
| spl0_148
| spl0_22
| ~ spl0_98 ),
inference(rat,[],[s1808,s815,s1807,s1394,s2522,s2563,s20,s2579,s593,s2474,s696]) ).
cnf(s2588,plain,
( ~ spl0_157
| spl0_53
| spl0_121
| spl0_148
| spl0_22
| ~ spl0_98 ),
inference(rat,[],[s657,s2533,s529,s2341,s91,s2417,s66,s820,s821,s144,s601,s33,s389,s2321,s1584,s1586,s1557,s6,s2583,s593,s1415,s1720,s2311,s410,s2249,s2587,s390,s2586,s412,s2579,s11,s1563,s464,s696,s62,s2474]) ).
cnf(s2589,plain,
( spl0_53
| spl0_121
| spl0_148
| spl0_22
| ~ spl0_98 ),
inference(rat,[],[s2270,s2426,s66,s2429,s33,s762,s40,s120,s1140,s836,s833,s824,s2227,s975,s815,s2133,s1808,s531,s2588,s11,s1563,s519,s2563,s20,s6,s2583,s593,s2432,s1480,s2311,s410,s2249,s2587,s390,s2586,s412,s2579,s696,s2474,s62]) ).
cnf(s2590,plain,
( spl0_121
| spl0_148
| spl0_22
| ~ spl0_98 ),
inference(rat,[],[s2270,s11,s66,s151,s33,s762,s40,s120,s1140,s2426,s836,s833,s1059,s824,s2227,s975,s815,s2133,s1808,s446,s574,s1896,s2589,s2432,s1480,s2311,s1415,s410,s2249,s2587,s593,s390,s2586,s412,s519,s2563,s20,s2579,s6,s2583,s696,s2474,s62]) ).
cnf(s2591,plain,
( ~ spl0_114
| ~ spl0_121
| ~ spl0_4
| ~ spl0_6
| ~ spl0_164
| ~ spl0_98 ),
inference(rat,[],[s574,s961,s430,s2006,s1143,s11,s633,s1562,s1720,s1338,s2311,s2578,s1758,s1808,s531,s514,s839,s389,s2492,s2014,s519,s1314,s2563,s529,s428,s793,s464,s2474,s62]) ).
cnf(s2592,plain,
( spl0_157
| spl0_148
| spl0_22
| ~ spl0_98 ),
inference(rat,[],[s1167,s1126,s2363,s1658,s2160,s1707,s2417,s2006,s570,s824,s1338,s975,s815,s2578,s2133,s1808,s531,s519,s20,s1314,s2563,s529,s593,s1720,s2432,s1480,s11,s1562,s1185,s390,s2591,s2416,s1091,s2579,s428,s2590,s6,s2583,s2407,s696,s2474,s62,s464]) ).
cnf(s2593,plain,
( spl0_148
| spl0_22
| ~ spl0_98 ),
inference(rat,[],[s389,s820,s514,s799,s2592,s11,s1562,s1720,s1185,s390,s2591,s529,s428,s1091,s2590,s6,s2583,s2579,s2416,s62,s464]) ).
cnf(s2594,plain,
( ~ spl0_115
| spl0_121
| ~ spl0_14
| ~ spl0_148
| spl0_153 ),
inference(rat,[],[s571,s574,s642,s641,s47,s27,s2170,s593]) ).
cnf(s2595,plain,
( spl0_121
| spl0_6
| spl0_22
| ~ spl0_98 ),
inference(rat,[],[s1733,s840,s1815,s427,s444,s739,s2566,s390,s2594,s412,s2563,s20,s2593,s23,s793,s62]) ).
cnf(s2596,plain,
( spl0_53
| spl0_4
| ~ spl0_114
| spl0_6
| spl0_22
| ~ spl0_98 ),
inference(rat,[],[s1720,s1476,s850,s1456,s75,s2511,s1955,s1835,s18,s66,s2504,s1862,s1622,s2341,s2501,s1586,s2321,s2325,s389,s2568,s514,s531,s2164,s430,s1846,s13,s20,s2593,s3,s2595,s6,s2,s2338,s1778,s2429,s149,s1978,s2339,s464,s793,s696,s2474,s62]) ).
cnf(s2597,plain,
( spl0_4
| ~ spl0_114
| spl0_6
| spl0_22
| ~ spl0_98 ),
inference(rat,[],[s2501,s389,s2568,s514,s1896,s531,s2133,s975,s2341,s1059,s998,s574,s2596,s149,s2429,s1978,s2339,s519,s2563,s20,s2593,s3,s2595,s62,s2474,s696]) ).
cnf(s2598,plain,
( ~ spl0_157
| spl0_53
| ~ spl0_4
| spl0_6
| spl0_22
| ~ spl0_98 ),
inference(rat,[],[s149,s148,s2568,s33,s11,s2321,s2334,s1586,s647,s2563,s2595,s1768,s2593,s2474,s624]) ).
cnf(s2599,plain,
( spl0_53
| ~ spl0_114
| spl0_6
| spl0_22
| ~ spl0_98 ),
inference(rat,[],[s1652,s1163,s839,s1338,s389,s2006,s820,s11,s1562,s1720,s1106,s961,s1758,s1808,s2598,s519,s1314,s2563,s526,s2593,s529,s428,s2597,s2595,s2407,s62,s464,s793,s2474]) ).
cnf(s2600,plain,
( ~ spl0_114
| spl0_6
| spl0_22
| ~ spl0_98 ),
inference(rat,[],[s9,s1210,s2218,s1907,s1187,s1653,s1889,s1468,s1338,s2006,s11,s1562,s1720,s1106,s961,s1758,s1808,s799,s2599,s529,s428,s526,s2597,s519,s2593,s23,s1314,s2595,s2563,s2122,s2407,s464,s793,s2474]) ).
cnf(s2601,plain,
( spl0_53
| spl0_4
| spl0_6
| spl0_22
| ~ spl0_98 ),
inference(rat,[],[s1055,s1185,s1587,s1720,s2414,s1476,s2500,s1849,s1456,s389,s514,s531,s2164,s430,s1846,s13,s1662,s23,s20,s2563,s2595,s1892,s593,s390,s2600,s2593,s6,s1778,s1978,s2339,s464,s62,s2474]) ).
cnf(s2602,plain,
( spl0_4
| spl0_6
| spl0_22
| ~ spl0_98 ),
inference(rat,[],[s531,s1896,s2133,s1415,s975,s1801,s1059,s571,s574,s2601,s1978,s2339,s519,s2563,s20,s390,s2600,s2474,s464,s62]) ).
cnf(s2603,plain,
( ~ spl0_197
| ~ spl0_17
| ~ spl0_128
| ~ spl0_166
| ~ spl0_4
| ~ spl0_136
| ~ spl0_165
| ~ spl0_121
| ~ spl0_98 ),
inference(rat,[],[s1338,s2006,s2578,s961,s1314,s2563,s793]) ).
cnf(s2604,plain,
( spl0_6
| spl0_22
| ~ spl0_98 ),
inference(rat,[],[s647,s799,s1808,s2603,s2334,s11,s1562,s1720,s2577,s526,s2602,s529,s1892,s593,s390,s2600,s2595,s23,s2563,s2593,s624,s2474,s464,s62]) ).
cnf(s2605,plain,
( ~ spl0_119
| ~ spl0_114
| ~ spl0_9
| spl0_121
| ~ spl0_148
| ~ spl0_122 ),
inference(rat,[],[s839,s389,s1892,s730,s2189,s725,s2249,s412,s62,s2474]) ).
cnf(s2606,plain,
( ~ spl0_112
| spl0_180
| spl0_121
| ~ spl0_122 ),
inference(rat,[],[s640,s639]) ).
cnf(s2607,plain,
( ~ spl0_114
| ~ spl0_157
| ~ spl0_9
| spl0_121
| spl0_22
| ~ spl0_98 ),
inference(rat,[],[s2581,s1067,s2325,s1892,s1590,s839,s389,s2606,s410,s2605,s727,s519,s2563,s1846,s13,s20,s2593,s2604,s412,s2474,s793,s62]) ).
cnf(s2608,plain,
( ~ spl0_157
| ~ spl0_9
| spl0_121
| spl0_22
| ~ spl0_98 ),
inference(rat,[],[s1067,s410,s2581,s2249,s2321,s2189,s1586,s1892,s2546,s593,s390,s2607,s1846,s13,s20,s2593,s2604,s412,s2474,s62]) ).
cnf(s2609,plain,
( spl0_53
| ~ spl0_9
| spl0_121
| spl0_22
| ~ spl0_98 ),
inference(rat,[],[s1754,s390,s1901,s833,s825,s1140,s1057,s120,s1404,s16,s40,s2581,s2233,s1067,s2311,s410,s2249,s2189,s1609,s1892,s839,s389,s1458,s595,s2187,s430,s1846,s13,s2604,s412,s66,s1862,s824,s427,s975,s2133,s531,s2608,s519,s2563,s20,s2593,s62,s2474]) ).
cnf(s2610,plain,
( ~ spl0_114
| ~ spl0_32
| spl0_157
| ~ spl0_9
| ~ spl0_127
| spl0_22
| ~ spl0_98 ),
inference(rat,[],[s832,s839,s1396,s389,s1789,s2311,s551,s507,s1758,s2165,s2604,s975,s2133,s531,s519,s2563,s20,s62,s2474]) ).
cnf(s2611,plain,
( ~ spl0_9
| spl0_121
| spl0_22
| ~ spl0_98 ),
inference(rat,[],[s571,s836,s390,s2610,s2270,s11,s148,s2426,s1059,s574,s2609,s66,s1862,s824,s427,s975,s2133,s531,s2608,s519,s2563,s20,s2593,s412,s62,s2474]) ).
cnf(s2612,plain,
( ~ spl0_114
| spl0_121
| spl0_22
| ~ spl0_98 ),
inference(rat,[],[s2368,s1337,s2209,s1877,s1411,s1440,s2325,s1441,s1593,s1658,s1163,s1338,s2006,s11,s1562,s1720,s18,s66,s2311,s961,s966,s529,s1758,s1808,s1892,s1584,s839,s1316,s389,s2606,s727,s519,s2563,s2604,s412,s1768,s526,s6,s2611,s2593,s2474,s793,s2407,s464,s696,s62]) ).
cnf(s2613,plain,
( ~ spl0_157
| ~ spl0_17
| ~ spl0_136
| ~ spl0_128
| spl0_307
| ~ spl0_4 ),
inference(rat,[],[s389,s820,s1584,s799,s62]) ).
cnf(s2614,plain,
( spl0_121
| spl0_22
| ~ spl0_98 ),
inference(rat,[],[s2270,s2426,s836,s1059,s824,s427,s66,s975,s966,s2133,s1808,s531,s2613,s11,s529,s1562,s1720,s1892,s571,s593,s390,s2612,s526,s1768,s6,s2611,s519,s2563,s20,s2593,s696,s2474,s464,s62]) ).
cnf(s2615,plain,
( ~ spl0_143
| ~ spl0_154
| spl0_22
| ~ spl0_98 ),
inference(rat,[],[s755,s632,s1990,s2311,s519,s2563,s20,s1091,s2614,s2604]) ).
cnf(s2616,plain,
( ~ spl0_157
| spl0_143
| spl0_22
| ~ spl0_98 ),
inference(rat,[],[s389,s820,s514,s1807,s529,s1720,s11,s1562,s1864,s1091,s2614,s2604,s2593,s62,s464]) ).
cnf(s2617,plain,
( ~ spl0_114
| ~ spl0_9
| spl0_22
| ~ spl0_98 ),
inference(rat,[],[s1836,s1837,s1959,s574,s2006,s1960,s820,s1849,s1338,s389,s2496,s825,s1901,s771,s1774,s66,s1862,s1622,s1057,s507,s531,s2616,s1404,s2321,s2325,s2581,s1067,s11,s632,s1562,s1874,s1720,s2615,s2014,s519,s1846,s13,s20,s1314,s2563,s529,s1864,s1091,s2614,s2604,s2593,s624,s62,s2474,s464]) ).
cnf(s2618,plain,
( ~ spl0_115
| spl0_22
| ~ spl0_98 ),
inference(rat,[],[s1167,s1126,s2158,s1658,s2160,s1820,s2417,s2006,s570,s824,s427,s1338,s975,s815,s2578,s2133,s1808,s531,s11,s2616,s1562,s1720,s1185,s593,s519,s20,s1314,s2563,s529,s1864,s1091,s2614,s2604,s2593,s2407,s696,s2474,s464]) ).
cnf(s2619,plain,
( spl0_22
| ~ spl0_98 ),
inference(rat,[],[s1735,s1229,s2417,s579,s1901,s959,s2270,s743,s2426,s389,s1059,s427,s1338,s839,s66,s975,s2006,s2603,s966,s2133,s961,s1808,s531,s11,s526,s2616,s1562,s1720,s6,s2615,s2617,s2014,s390,s2618,s529,s1864,s1091,s1314,s2614,s2604,s2593,s20,s519,s2563,s62,s696,s2474,s793,s464]) ).
cnf(s2620,plain,
( ~ spl0_14
| ~ spl0_114
| spl0_121
| ~ spl0_98 ),
inference(rat,[],[s2136,s1896,s2020,s531,s2417,s2133,s2050,s549,s1828,s548,s66,s6,s2134,s2130,s795,s2170,s2182,s27,s47,s642,s1720,s482,s874,s2234,s2564,s875,s557,s2619,s839,s389,s2606,s727,s412,s519,s2563,s2474,s464,s62]) ).
cnf(s2621,plain,
( ~ spl0_157
| ~ spl0_114
| spl0_121
| ~ spl0_98 ),
inference(rat,[],[s11,s2270,s148,s66,s2128,s762,s837,s40,s1901,s963,s2417,s1736,s2545,s2136,s1857,s2341,s1584,s1807,s2080,s557,s389,s2606,s727,s412,s519,s2563,s2426,s22,s23,s2620,s2619,s696,s62]) ).
cnf(s2622,plain,
( ~ spl0_224
| ~ spl0_17
| ~ spl0_136
| spl0_139
| ~ spl0_183
| ~ spl0_128
| ~ spl0_125
| ~ spl0_197
| ~ spl0_6
| ~ spl0_98 ),
inference(rat,[],[s1126,s1658,s2400,s1820,s2363,s2160,s2006,s2407]) ).
cnf(s2623,plain,
( ~ spl0_148
| spl0_139
| ~ spl0_183
| ~ spl0_134
| ~ spl0_197
| ~ spl0_6
| ~ spl0_165
| spl0_185
| ~ spl0_98 ),
inference(rat,[],[s1337,s2027,s1411,s2023,s1441,s1658,s1163,s1338,s2622,s549,s11,s66,s1562,s529,s1862,s1892,s2417,s2050,s557,s2619,s1720,s2311,s2407,s464]) ).
cnf(s2624,plain,
( ~ spl0_114
| spl0_121
| ~ spl0_98 ),
inference(rat,[],[s11,s69,s2428,s1108,s6,s1828,s2623,s579,s825,s1179,s2004,s1720,s2417,s2311,s2050,s2133,s1758,s1808,s531,s2621,s2235,s12,s2426,s22,s23,s2620,s839,s1316,s389,s2606,s727,s884,s519,s2563,s557,s2619,s412,s464,s2474,s62]) ).
cnf(s2625,plain,
( spl0_53
| spl0_148
| spl0_6
| ~ spl0_165
| spl0_121
| spl0_153 ),
inference(rat,[],[s646,s2182,s2334,s27,s11,s47,s1563,s641,s23,s624]) ).
cnf(s2626,plain,
( ~ spl0_157
| ~ spl0_53
| spl0_148
| spl0_6
| ~ spl0_115
| spl0_153 ),
inference(rat,[],[s1801,s1415,s1896,s2339,s2574,s571,s574,s464,s2474]) ).
cnf(s2627,plain,
( spl0_6
| ~ spl0_115
| spl0_121
| spl0_153 ),
inference(rat,[],[s2347,s1872,s389,s855,s6,s1828,s2182,s2133,s27,s531,s47,s2626,s642,s1720,s571,s574,s2625,s2594,s875,s23,s519,s593,s62,s2474,s464]) ).
cnf(s2628,plain,
( ~ spl0_112
| ~ spl0_131
| spl0_148
| ~ spl0_157
| spl0_121
| ~ spl0_98 ),
inference(rat,[],[s893,s91,s40,s66,s2309,s1103,s993,s570,s1901,s391,s2606,s519,s2235,s12,s2426,s22,s2341,s2080,s557,s2619,s430,s1807,s2627,s390,s2624,s2563,s1559,s62,s696]) ).
cnf(s2629,plain,
( spl0_148
| spl0_134
| ~ spl0_157
| spl0_121
| ~ spl0_98 ),
inference(rat,[],[s66,s91,s2128,s893,s762,s2560,s2227,s656,s88,s80,s2323,s1584,s389,s2628,s2189,s6,s2428,s11,s1563,s1559,s593,s2426,s22,s2619,s597,s1807,s2627,s390,s2624,s2563,s2249,s410,s412,s62,s2474]) ).
cnf(s2631,plain,
( ~ spl0_134
| ~ spl0_117
| ~ spl0_157
| ~ spl0_41
| ~ spl0_115
| ~ spl0_22 ),
inference(rat,[],[s389,s1584,s391,s1415,s2050,s2341,s2080,s557,s62,s696]) ).
cnf(s2632,plain,
( ~ spl0_157
| spl0_121
| ~ spl0_98 ),
inference(rat,[],[s389,s1584,s599,s2546,s1892,s2629,s2631,s430,s438,s1807,s2080,s557,s412,s593,s2235,s12,s2426,s22,s2627,s390,s2624,s2563,s2619,s62]) ).
cnf(s2633,plain,
( ~ spl0_63
| ~ spl0_197
| ~ spl0_165
| spl0_185
| spl0_121 ),
inference(rat,[],[s1338,s1266,s956,s2407,s2474]) ).
cnf(s2634,plain,
( ~ spl0_4
| spl0_63
| ~ spl0_22 ),
inference(rat,[],[s11,s2428,s69,s1108,s557]) ).
cnf(s2635,plain,
( ~ spl0_232
| ~ spl0_166
| spl0_121
| ~ spl0_98 ),
inference(rat,[],[s1658,s1837,s1820,s2627,s390,s2624,s1808,s2632,s2563,s2407,s2474,s62]) ).
cnf(s2636,plain,
( ~ spl0_112
| spl0_121
| ~ spl0_98 ),
inference(rat,[],[s1338,s959,s2006,s2635,s579,s1184,s2414,s824,s836,s2270,s66,s2128,s762,s40,s963,s757,s574,s2347,s402,s820,s1872,s2426,s22,s529,s2417,s2050,s557,s1720,s11,s1562,s2311,s410,s2249,s2189,s412,s2627,s1892,s1828,s6,s2634,s2633,s1808,s1319,s2619,s2133,s531,s2632,s519,s2563,s593,s390,s2624,s62,s2474,s464]) ).
cnf(s2637,plain,
( ~ spl0_315
| spl0_190
| ~ spl0_148
| ~ spl0_115 ),
inference(rat,[],[s2370,s1337,s1331,s1297,s1907,s1319,s529,s1892,s593,s464]) ).
cnf(s2638,plain,
( ~ spl0_224
| spl0_315
| spl0_139
| spl0_121
| ~ spl0_98 ),
inference(rat,[],[s1293,s1658,s2400,s1820,s2363,s2160,s2006,s529,s2417,s2050,s557,s1720,s11,s1562,s2311,s410,s2249,s2189,s412,s2627,s1892,s1828,s6,s2634,s2633,s1808,s1319,s2619,s2133,s531,s2632,s519,s2563,s593,s390,s2624,s2407,s62,s2474,s464]) ).
cnf(s2639,plain,
( ~ spl0_33
| spl0_53
| spl0_121
| ~ spl0_98 ),
inference(rat,[],[s1337,s2027,s1411,s2023,s1441,s1658,s1163,s1338,s2638,s2637,s1599,s579,s837,s549,s2270,s2426,s22,s2417,s2050,s557,s11,s1562,s2311,s410,s2249,s2189,s412,s2627,s1892,s1828,s6,s2634,s2633,s1808,s1319,s2619,s2133,s531,s2632,s519,s2563,s593,s390,s2624,s389,s2636,s2407,s62,s2474]) ).
cnf(s2640,plain,
( spl0_53
| spl0_121
| ~ spl0_98 ),
inference(rat,[],[s1186,s40,s1179,s762,s1862,s2128,s66,s2639,s1618,s2426,s22,s8,s642,s2311,s410,s2249,s2189,s1892,s1828,s2133,s531,s519,s6,s2634,s2633,s1808,s2632,s593,s1319,s2619,s412,s2627,s390,s2624,s2563,s389,s2636,s62,s2474]) ).
cnf(s2641,plain,
( spl0_121
| ~ spl0_98 ),
inference(rat,[],[s40,s2210,s762,s2001,s2128,s2129,s66,s2367,s2369,s549,s1166,s1028,s2027,s1337,s1411,s2023,s2400,s1441,s2065,s1658,s1163,s1338,s2006,s2406,s2635,s574,s2640,s11,s1562,s1720,s2417,s2311,s2050,s410,s2249,s2189,s529,s1892,s1828,s6,s2634,s2633,s2133,s1808,s531,s2632,s2627,s593,s1319,s390,s2624,s412,s519,s2563,s557,s2619,s2407,s464,s2474,s62]) ).
cnf(s2642,plain,
( ~ spl0_157
| spl0_6
| spl0_148
| ~ spl0_98 ),
inference(rat,[],[s2323,s1896,s91,s478,s66,s993,s743,s1901,s1454,s2417,s2186,s1833,s2533,s1999,s6,s389,s2341,s2574,s2568,s514,s2080,s2563,s557,s1827,s2641,s2619,s2416,s62,s696]) ).
cnf(s2643,plain,
( spl0_6
| spl0_148
| ~ spl0_98 ),
inference(rat,[],[s1297,s1294,s1337,s1305,s1868,s1338,s1192,s2578,s2577,s593,s1957,s390,s797,s1089,s1121,s2634,s6,s1828,s2133,s1808,s531,s2642,s3,s23,s519,s1314,s2563,s1815,s1827,s2641,s2619,s2407,s62,s2474,s793]) ).
cnf(s2644,plain,
( ~ spl0_157
| spl0_148
| ~ spl0_98 ),
inference(rat,[],[s2520,s410,s1990,s2050,s11,s391,s16,s389,s1563,s430,s2341,s2568,s514,s1807,s2080,s557,s1091,s2641,s2235,s12,s2426,s22,s2643,s2619,s62,s696]) ).
cnf(s2645,plain,
( spl0_148
| ~ spl0_98 ),
inference(rat,[],[s1337,s1134,s1297,s1150,s1294,s2212,s1305,s2362,s2159,s1338,s1720,s2578,s1957,s1185,s593,s797,s1089,s390,s2634,s2591,s6,s1828,s2133,s1808,s531,s2644,s2426,s1091,s22,s2643,s2416,s519,s1314,s2563,s1815,s1827,s2641,s2619,s2474,s2407,s464,s62,s793]) ).
cnf(s2646,plain,
( ~ spl0_157
| spl0_6
| ~ spl0_98 ),
inference(rat,[],[s390,s2556,s1582,s1896,s1338,s120,s478,s2510,s997,s66,s1990,s2024,s2128,s1801,s581,s410,s2544,s2050,s2417,s2533,s1999,s2338,s2339,s40,s389,s2341,s2634,s2568,s514,s2080,s597,s557,s1314,s2563,s1827,s2641,s2619,s23,s62,s464,s2474,s696]) ).
cnf(s2647,plain,
( ~ spl0_224
| ~ spl0_183
| ~ spl0_125
| ~ spl0_138
| ~ spl0_114
| spl0_139 ),
inference(rat,[],[s1126,s2400,s1836,s2158,s1963,s2160,s2009,s624]) ).
cnf(s2648,plain,
( spl0_4
| ~ spl0_143
| spl0_6
| ~ spl0_98 ),
inference(rat,[],[s1837,s2371,s1652,s1889,s1338,s2647,s810,s2341,s2533,s2417,s2050,s1758,s1851,s390,s389,s571,s874,s574,s2164,s1778,s2339,s519,s557,s1314,s1827,s2641,s2619,s531,s1808,s2646,s2563,s2407,s696,s2474,s62]) ).
cnf(s2649,plain,
( ~ spl0_143
| spl0_6
| ~ spl0_98 ),
inference(rat,[],[s390,s1121,s2577,s2634,s2648,s519,s2563,s2619,s23,s2646,s62,s2474]) ).
cnf(s2650,plain,
( ~ spl0_223
| ~ spl0_166
| ~ spl0_358
| ~ spl0_197
| ~ spl0_98 ),
inference(rat,[],[s1837,s2371,s1652,s1889,s2641,s2407]) ).
cnf(s2651,plain,
( ~ spl0_114
| spl0_6
| ~ spl0_98 ),
inference(rat,[],[s1837,s2371,s1658,s2065,s2400,s2158,s2160,s1338,s2650,s574,s2164,s2417,s1778,s2339,s2050,s2634,s1758,s884,s519,s557,s1314,s1827,s2641,s2619,s531,s1808,s2646,s2563,s2407,s2474]) ).
cnf(s2652,plain,
( spl0_4
| spl0_6
| ~ spl0_98 ),
inference(rat,[],[s1167,s2158,s2065,s2160,s1658,s2417,s1837,s2050,s574,s1801,s2169,s2339,s6,s557,s1827,s2619,s23,s531,s2006,s11,s1562,s1338,s2578,s593,s529,s835,s390,s2651,s2645,s1314,s2641,s1808,s2646,s2563,s1720,s2649,s2407,s464,s2474,s62]) ).
cnf(s2653,plain,
( spl0_6
| ~ spl0_98 ),
inference(rat,[],[s2603,s526,s2652,s11,s1562,s529,s835,s593,s390,s2651,s1720,s2649,s1808,s2646,s1314,s2641,s2563,s2645,s464,s62,s2474]) ).
cnf(s2654,plain,
( ~ spl0_157
| ~ spl0_98 ),
inference(rat,[],[s599,s389,s430,s438,s514,s1807,s2080,s557,s2426,s22,s2619,s1864,s1091,s2653,s2641,s2645,s62]) ).
cnf(s2655,plain,
( ~ spl0_114
| spl0_53
| ~ spl0_9
| ~ spl0_98 ),
inference(rat,[],[s2623,s839,s824,s389,s2414,s818,s1184,s1789,s2311,s2564,s507,s1758,s519,s557,s1314,s1827,s2641,s2645,s2426,s22,s2653,s2619,s531,s1808,s2654,s2563,s430,s62,s2474]) ).
cnf(s2656,plain,
( ~ spl0_134
| ~ spl0_113
| ~ spl0_115
| ~ spl0_277
| ~ spl0_98 ),
inference(rat,[],[s1599,s66,s2637,s2128,s1293,s762,s2400,s40,s2158,s1186,s2160,s1179,s2417,s2623,s2050,s557,s1827,s2426,s22,s2619,s1658,s1820,s2006,s1338,s2578,s593,s1314,s11,s1562,s529,s1864,s2645,s1720,s1185,s1091,s2641,s2653,s1808,s2654,s2563,s2474,s2407,s464]) ).
cnf(s2657,plain,
( spl0_53
| spl0_4
| ~ spl0_98 ),
inference(rat,[],[s2128,s66,s1655,s1774,s1305,s2251,s1957,s410,s2656,s1693,s389,s1820,s820,s2006,s11,s1338,s1562,s1720,s2578,s1185,s593,s390,s2655,s1618,s8,s641,s1314,s1815,s1827,s529,s1864,s1091,s2641,s2645,s531,s1808,s2654,s2563,s6,s2161,s2,s22,s2653,s2619,s62,s464,s2474,s793]) ).
cnf(s2658,plain,
( ~ spl0_114
| ~ spl0_53
| ~ spl0_98 ),
inference(rat,[],[s743,s389,s1229,s839,s66,s2623,s1862,s810,s504,s1735,s1720,s2417,s2311,s2050,s1758,s519,s557,s1314,s1827,s2235,s12,s2426,s22,s2619,s529,s1864,s1091,s2653,s2641,s2645,s1808,s2654,s2563,s62,s464,s2474]) ).
cnf(s2659,plain,
( ~ spl0_53
| ~ spl0_98 ),
inference(rat,[],[s1658,s1837,s1820,s2006,s11,s1338,s1562,s1720,s2578,s1185,s593,s390,s2658,s574,s1314,s529,s1864,s1091,s2653,s2641,s2645,s1808,s2654,s2563,s2407,s464,s62,s2474]) ).
cnf(s2660,plain,
~ spl0_98,
inference(rat,[],[s1720,s2603,s1185,s593,s390,s1121,s11,s2634,s69,s526,s1108,s2657,s2659,s1808,s2654,s529,s1864,s1091,s2653,s2645,s2641,s557,s2619,s519,s2563,s464,s62,s2474]) ).
cnf(s2662,plain,
~ spl0_153,
inference(rat,[],[s2236,s2660]) ).
cnf(s2663,plain,
~ spl0_121,
inference(rat,[],[s1092,s2660]) ).
cnf(s2664,plain,
~ spl0_6,
inference(rat,[],[s1078,s2660]) ).
cnf(s2666,plain,
~ spl0_26,
inference(rat,[],[s158,s2660]) ).
cnf(s2669,plain,
spl0_122,
inference(rat,[],[s519,s2662]) ).
cnf(s2670,plain,
spl0_127,
inference(rat,[],[s412,s2663]) ).
cnf(s2671,plain,
spl0_14,
inference(rat,[],[s23,s2664]) ).
cnf(s2674,plain,
~ spl0_115,
inference(rat,[],[s2627,s2662,s2663,s2664]) ).
cnf(s2675,plain,
spl0_43,
inference(rat,[],[s40,s2666]) ).
cnf(s2679,plain,
~ spl0_133,
inference(rat,[],[s875,s2669,s2663,s2671]) ).
cnf(s2681,plain,
spl0_114,
inference(rat,[],[s390,s62,s2674]) ).
cnf(s2690,plain,
spl0_53,
inference(rat,[],[s2564,s2679,s2681]) ).
cnf(s2692,plain,
~ spl0_180,
inference(rat,[],[s727,s2670,s2681]) ).
cnf(s2694,plain,
~ spl0_112,
inference(rat,[],[s2606,s2669,s2663,s2692]) ).
cnf(s2695,plain,
spl0_113,
inference(rat,[],[s389,s62,s2694]) ).
cnf(s2697,plain,
spl0_165,
inference(rat,[],[s839,s2695]) ).
cnf(s2698,plain,
~ spl0_143,
inference(rat,[],[s874,s2690,s2695]) ).
cnf(s2699,plain,
~ spl0_203,
inference(rat,[],[s2234,s2690,s2695]) ).
cnf(s2707,plain,
~ spl0_11,
inference(rat,[],[s642,s2663,s2698]) ).
cnf(s2710,plain,
~ spl0_35,
inference(rat,[],[s47,s2707]) ).
cnf(s2713,plain,
spl0_12,
inference(rat,[],[s27,s2671,s2710]) ).
cnf(s2714,plain,
spl0_131,
inference(rat,[],[s2182,s2663,s2713]) ).
cnf(s2715,plain,
~ spl0_148,
inference(rat,[],[s2170,s2663,s2697,s2713]) ).
cnf(s2719,plain,
~ spl0_28,
inference(rat,[],[s2130,s2699,s2714]) ).
cnf(s2720,plain,
spl0_65,
inference(rat,[],[s2521,s2666,s2699,s2714]) ).
cnf(s2736,plain,
~ spl0_83,
inference(rat,[],[s997,s2671,s2719]) ).
cnf(s2737,plain,
spl0_150,
inference(rat,[],[s2309,s2715,s2720]) ).
cnf(s2766,plain,
spl0_84,
inference(rat,[],[s120,s2675,s2736]) ).
cnf(s2769,plain,
$false,
inference(rat,[],[s1609,s2697,s2663,s2737,s2766]) ).
thf(f28464,plain,
$false,
inference(avatar_sat_refutation,[],[s2769]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA131^1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n020.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Tue Sep 29 19:03:19 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running higher-order theorem proving
% 0.10/0.24 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.81/0.37 % (1458816)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.81/0.37 % (1458822)lrs+10_16_si=on:nwc=1.5:random_seed=550445723:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.81/0.37 % (1458822)Instruction limit reached!
% 0.81/0.37 % (1458822)------------------------------
% 0.81/0.37 % (1458822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.37 % (1458822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.37 % (1458822)CaDiCaL version: 2.1.3
% 0.81/0.37 % (1458822)Termination reason: Instruction limit
% 0.81/0.37 % (1458822)Termination phase: Saturation
% 0.81/0.37 % (1458822)Time elapsed: 0.005 s
% 0.81/0.37 % (1458822)Peak memory usage: 12 MB
% 0.81/0.37 % (1458822)Instructions burned: 19 (million)
% 0.81/0.37 % (1458821)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1345686151:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.81/0.37 % (1458823)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=608548758:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.81/0.37 % (1458825)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=4127891136:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.81/0.37 % (1458824)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=64332226: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)
% 0.81/0.37 % (1458823)Instruction limit reached!
% 0.81/0.37 % (1458823)------------------------------
% 0.81/0.37 % (1458823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.37 % (1458823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.37 % (1458823)CaDiCaL version: 2.1.3
% 0.81/0.37 % (1458823)Termination reason: Instruction limit
% 0.81/0.37 % (1458823)Termination phase: Saturation
% 0.81/0.37 % (1458823)Time elapsed: 0.002 s
% 0.81/0.37 % (1458823)Peak memory usage: 12 MB
% 0.81/0.37 % (1458823)Instructions burned: 3 (million)
% 0.81/0.37 % (1458827)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.81/0.37 % (1458827)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
% 0.81/0.37 % (1458829)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2861390409:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.81/0.37 % (1458825)Instruction limit reached!
% 0.81/0.37 % (1458825)------------------------------
% 0.81/0.37 % (1458825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.37 % (1458825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.37 % (1458825)CaDiCaL version: 2.1.3
% 0.81/0.37 % (1458825)Termination reason: Instruction limit
% 0.81/0.37 % (1458825)Termination phase: Saturation
% 0.81/0.37 % (1458825)Time elapsed: 0.013 s
% 0.81/0.37 % (1458825)Peak memory usage: 12 MB
% 0.81/0.37 % (1458825)Instructions burned: 26 (million)
% 0.81/0.37 % (1458829)Instruction limit reached!
% 0.81/0.37 % (1458829)------------------------------
% 0.81/0.37 % (1458829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.37 % (1458829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.37 % (1458829)CaDiCaL version: 2.1.3
% 0.81/0.37 % (1458829)Termination reason: Instruction limit
% 0.81/0.37 % (1458829)Termination phase: Saturation
% 0.81/0.37 % (1458829)Time elapsed: 0.002 s
% 0.81/0.37 % (1458829)Peak memory usage: 12 MB
% 0.81/0.37 % (1458829)Instructions burned: 7 (million)
% 0.81/0.37 % (1458826)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=107633711:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.81/0.37 % (1458827)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=2225625619:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.81/0.37 % (1458834)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4256356838:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.81/0.41 % (1458837)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.81/0.41 % (1458837)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3785850242:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.81/0.41 % (1458834)Instruction limit reached!
% 0.81/0.41 % (1458834)------------------------------
% 0.81/0.41 % (1458834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.41 % (1458834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.41 % (1458834)CaDiCaL version: 2.1.3
% 0.81/0.41 % (1458834)Termination reason: Instruction limit
% 0.81/0.41 % (1458834)Termination phase: Saturation
% 0.81/0.41 % (1458834)Time elapsed: 0.005 s
% 0.81/0.41 % (1458834)Peak memory usage: 11 MB
% 0.81/0.41 % (1458834)Instructions burned: 7 (million)
% 0.81/0.41 % (1458837)Instruction limit reached!
% 0.81/0.41 % (1458837)------------------------------
% 0.81/0.41 % (1458837)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.41 % (1458837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.41 % (1458837)CaDiCaL version: 2.1.3
% 0.81/0.41 % (1458837)Termination reason: Instruction limit
% 0.81/0.41 % (1458837)Termination phase: Saturation
% 0.81/0.41 % (1458837)Time elapsed: 0.003 s
% 0.81/0.41 % (1458837)Peak memory usage: 12 MB
% 0.81/0.41 % (1458837)Instructions burned: 10 (million)
% 0.81/0.41 % (1458838)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=350360235:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.81/0.41 % (1458821)Instruction limit reached!
% 0.81/0.41 % (1458821)------------------------------
% 0.81/0.41 % (1458821)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.41 % (1458821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.41 % (1458821)CaDiCaL version: 2.1.3
% 0.81/0.41 % (1458821)Termination reason: Instruction limit
% 0.81/0.41 % (1458821)Termination phase: Saturation
% 0.81/0.41 % (1458821)Time elapsed: 0.038 s
% 0.81/0.41 % (1458821)Peak memory usage: 12 MB
% 0.81/0.41 % (1458821)Instructions burned: 87 (million)
% 0.81/0.41 % (1458843)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=1406013871:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.81/0.41 % (1458838)Instruction limit reached!
% 0.81/0.41 % (1458838)------------------------------
% 0.81/0.41 % (1458838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.41 % (1458838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.41 % (1458838)CaDiCaL version: 2.1.3
% 0.81/0.41 % (1458838)Termination reason: Instruction limit
% 0.81/0.41 % (1458838)Termination phase: Saturation
% 0.81/0.41 % (1458838)Time elapsed: 0.008 s
% 0.81/0.41 % (1458838)Peak memory usage: 12 MB
% 0.81/0.41 % (1458838)Instructions burned: 12 (million)
% 0.81/0.41 % (1458842)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
% 0.81/0.41 % (1458842)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.81/0.41 % (1458842)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2041395903:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.81/0.41 % (1458847)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.81/0.41 % (1458845)lrs+10_1_si=on:cs=on:random_seed=1928305697:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.81/0.41 % (1458847)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=1376322974:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.81/0.41 % (1458843)Instruction limit reached!
% 0.81/0.41 % (1458843)------------------------------
% 0.81/0.41 % (1458843)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.41 % (1458843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.43 % (1458847)Instruction limit reached!
% 0.81/0.43 % (1458847)------------------------------
% 0.81/0.43 % (1458847)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.43 % (1458843)CaDiCaL version: 2.1.3
% 0.81/0.43 % (1458843)Termination reason: Instruction limit
% 0.81/0.43 % (1458843)Termination phase: Saturation
% 0.81/0.43 % (1458843)Time elapsed: 0.022 s
% 0.81/0.43 % (1458847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.43 % (1458843)Peak memory usage: 12 MB
% 0.81/0.43 % (1458847)CaDiCaL version: 2.1.3
% 0.81/0.43 % (1458843)Instructions burned: 89 (million)
% 0.81/0.43 % (1458847)Termination reason: Instruction limit
% 0.81/0.43 % (1458847)Termination phase: Saturation
% 0.81/0.43 % (1458847)Time elapsed: 0.002 s
% 0.81/0.43 % (1458847)Peak memory usage: 11 MB
% 0.81/0.43 % (1458847)Instructions burned: 3 (million)
% 0.81/0.43 % (1458845)Instruction limit reached!
% 0.81/0.43 % (1458845)------------------------------
% 0.81/0.43 % (1458845)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.43 % (1458845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.43 % (1458845)CaDiCaL version: 2.1.3
% 0.81/0.43 % (1458845)Termination reason: Instruction limit
% 0.81/0.43 % (1458845)Termination phase: Saturation
% 0.81/0.43 % (1458845)Time elapsed: 0.005 s
% 0.81/0.43 % (1458845)Peak memory usage: 12 MB
% 0.81/0.43 % (1458845)Instructions burned: 8 (million)
% 0.81/0.43 % (1458842)Instruction limit reached!
% 0.81/0.43 % (1458842)------------------------------
% 0.81/0.43 % (1458842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.43 % (1458842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.43 % (1458842)CaDiCaL version: 2.1.3
% 0.81/0.43 % (1458842)Termination reason: Instruction limit
% 0.81/0.43 % (1458842)Termination phase: Saturation
% 0.81/0.43 % (1458842)Time elapsed: 0.027 s
% 0.81/0.43 % (1458842)Peak memory usage: 12 MB
% 0.81/0.43 % (1458842)Instructions burned: 29 (million)
% 0.81/0.43 % (1458826)Instruction limit reached!
% 0.81/0.43 % (1458826)------------------------------
% 0.81/0.43 % (1458826)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.43 % (1458826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.43 % (1458826)CaDiCaL version: 2.1.3
% 0.81/0.43 % (1458826)Termination reason: Instruction limit
% 0.81/0.43 % (1458826)Termination phase: Saturation
% 0.81/0.43 % (1458826)Time elapsed: 0.065 s
% 0.81/0.43 % (1458826)Peak memory usage: 12 MB
% 0.81/0.43 % (1458826)Instructions burned: 75 (million)
% 0.81/0.43 % (1458852)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2986205092:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.81/0.43 % (1458853)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3807040811:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.81/0.43 % (1458853)Refutation not found, incomplete strategy
% 0.81/0.43 % (1458853)------------------------------
% 0.81/0.43 % (1458853)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.43 % (1458853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.43 % (1458853)CaDiCaL version: 2.1.3
% 0.81/0.43 % (1458853)Termination reason: Refutation not found, incomplete strategy
% 0.81/0.43 % (1458853)Time elapsed: 0.001 s
% 0.81/0.43 % (1458853)Peak memory usage: 11 MB
% 0.81/0.43 % (1458851)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1251457660:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.81/0.43 % (1458853)------------------------------
% 0.81/0.43 % (1458853)------------------------------
% 0.81/0.43 % (1458851)Refutation not found, incomplete strategy
% 0.81/0.43 % (1458851)------------------------------
% 0.81/0.43 % (1458851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.43 % (1458851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.43 % (1458851)CaDiCaL version: 2.1.3
% 0.81/0.43 % (1458851)Termination reason: Refutation not found, incomplete strategy
% 0.81/0.43 % (1458851)Time elapsed: 0.0000 s
% 0.81/0.43 % (1458851)Peak memory usage: 11 MB
% 0.81/0.43 % (1458851)------------------------------
% 0.81/0.43 % (1458851)------------------------------
% 0.81/0.43 % (1458852)Refutation not found, incomplete strategy
% 1.39/0.49 % (1458852)------------------------------
% 1.39/0.49 % (1458852)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.49 % (1458852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.49 % (1458852)CaDiCaL version: 2.1.3
% 1.39/0.49 % (1458852)Termination reason: Refutation not found, incomplete strategy
% 1.39/0.49 % (1458852)Time elapsed: 0.005 s
% 1.39/0.49 % (1458852)Peak memory usage: 11 MB
% 1.39/0.49 % (1458852)------------------------------
% 1.39/0.49 % (1458852)------------------------------
% 1.39/0.49 % (1458854)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3515991304:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.39/0.49 % (1458856)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2486765052:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.39/0.49 % (1458856)Refutation not found, incomplete strategy
% 1.39/0.49 % (1458856)------------------------------
% 1.39/0.49 % (1458856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.49 % (1458856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.49 % (1458856)CaDiCaL version: 2.1.3
% 1.39/0.49 % (1458856)Termination reason: Refutation not found, incomplete strategy
% 1.39/0.49 % (1458856)Time elapsed: 0.001 s
% 1.39/0.49 % (1458856)Peak memory usage: 11 MB
% 1.39/0.49 % (1458856)------------------------------
% 1.39/0.49 % (1458856)------------------------------
% 1.39/0.49 % (1458859)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3792771490:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.39/0.49 % (1458861)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3716545034:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.39/0.49 % (1458854)Instruction limit reached!
% 1.39/0.49 % (1458854)------------------------------
% 1.39/0.49 % (1458854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.49 % (1458854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.49 % (1458854)CaDiCaL version: 2.1.3
% 1.39/0.49 % (1458854)Termination reason: Instruction limit
% 1.39/0.49 % (1458854)Termination phase: Saturation
% 1.39/0.49 % (1458854)Time elapsed: 0.009 s
% 1.39/0.49 % (1458854)Peak memory usage: 12 MB
% 1.39/0.49 % (1458854)Instructions burned: 15 (million)
% 1.39/0.49 % (1458860)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1323223569: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)
% 1.39/0.49 % (1458860)Refutation not found, incomplete strategy
% 1.39/0.49 % (1458860)------------------------------
% 1.39/0.49 % (1458860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.49 % (1458860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.49 % (1458860)CaDiCaL version: 2.1.3
% 1.39/0.49 % (1458860)Termination reason: Refutation not found, incomplete strategy
% 1.39/0.49 % (1458860)Time elapsed: 0.0000 s
% 1.39/0.49 % (1458860)Peak memory usage: 11 MB
% 1.39/0.49 % (1458860)------------------------------
% 1.39/0.49 % (1458860)------------------------------
% 1.39/0.49 % (1458859)Instruction limit reached!
% 1.39/0.49 % (1458859)------------------------------
% 1.39/0.49 % (1458859)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.49 % (1458859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.49 % (1458859)CaDiCaL version: 2.1.3
% 1.39/0.49 % (1458859)Termination reason: Instruction limit
% 1.39/0.49 % (1458859)Termination phase: Saturation
% 1.39/0.49 % (1458859)Time elapsed: 0.008 s
% 1.39/0.49 % (1458859)Peak memory usage: 12 MB
% 1.39/0.49 % (1458859)Instructions burned: 15 (million)
% 1.39/0.49 % (1458869)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.39/0.49 % (1458869)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.39/0.49 % (1458864)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1486884836:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.39/0.52 % (1458869)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=3784269895:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.39/0.52 % (1458827)Instruction limit reached!
% 1.39/0.52 % (1458827)------------------------------
% 1.39/0.52 % (1458827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.52 % (1458827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.52 % (1458827)CaDiCaL version: 2.1.3
% 1.39/0.52 % (1458827)Termination reason: Instruction limit
% 1.39/0.52 % (1458827)Termination phase: Saturation
% 1.39/0.52 % (1458827)Time elapsed: 0.108 s
% 1.39/0.52 % (1458827)Peak memory usage: 12 MB
% 1.39/0.52 % (1458827)Instructions burned: 157 (million)
% 1.39/0.52 % (1458870)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.39/0.52 % (1458868)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=590004643:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.39/0.52 % (1458861)Instruction limit reached!
% 1.39/0.52 % (1458861)------------------------------
% 1.39/0.52 % (1458861)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.52 % (1458861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.52 % (1458861)CaDiCaL version: 2.1.3
% 1.39/0.52 % (1458861)Termination reason: Instruction limit
% 1.39/0.52 % (1458861)Termination phase: Saturation
% 1.39/0.52 % (1458861)Time elapsed: 0.023 s
% 1.39/0.52 % (1458861)Peak memory usage: 11 MB
% 1.39/0.52 % (1458861)Instructions burned: 27 (million)
% 1.39/0.52 % (1458870)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=865707229:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.39/0.52 % (1458869)Instruction limit reached!
% 1.39/0.52 % (1458869)------------------------------
% 1.39/0.52 % (1458869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.52 % (1458864)Instruction limit reached!
% 1.39/0.53 % (1458864)------------------------------
% 1.39/0.53 % (1458864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.53 % (1458869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.53 % (1458864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.53 % (1458869)CaDiCaL version: 2.1.3
% 1.39/0.53 % (1458864)CaDiCaL version: 2.1.3
% 1.39/0.53 % (1458869)Termination reason: Instruction limit
% 1.39/0.53 % (1458869)Termination phase: Saturation
% 1.39/0.53 % (1458869)Time elapsed: 0.009 s
% 1.39/0.53 % (1458864)Termination reason: Instruction limit
% 1.39/0.53 % (1458864)Termination phase: Saturation
% 1.39/0.53 % (1458864)Time elapsed: 0.011 s
% 1.39/0.53 % (1458869)Peak memory usage: 12 MB
% 1.39/0.53 % (1458864)Peak memory usage: 11 MB
% 1.39/0.53 % (1458869)Instructions burned: 16 (million)
% 1.39/0.53 % (1458864)Instructions burned: 23 (million)
% 1.39/0.53 % (1458873)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=3207843183:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.39/0.53 % (1458870)Instruction limit reached!
% 1.39/0.53 % (1458870)------------------------------
% 1.39/0.53 % (1458870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.53 % (1458870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.53 % (1458870)CaDiCaL version: 2.1.3
% 1.39/0.53 % (1458870)Termination reason: Instruction limit
% 1.39/0.53 % (1458870)Termination phase: Saturation
% 1.39/0.53 % (1458870)Time elapsed: 0.013 s
% 1.39/0.53 % (1458870)Peak memory usage: 12 MB
% 1.39/0.53 % (1458870)Instructions burned: 9 (million)
% 1.39/0.53 % (1458873)Instruction limit reached!
% 1.39/0.53 % (1458873)------------------------------
% 1.39/0.53 % (1458873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.53 % (1458873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.53 % (1458873)CaDiCaL version: 2.1.3
% 1.39/0.53 % (1458873)Termination reason: Instruction limit
% 1.39/0.53 % (1458873)Termination phase: Saturation
% 1.39/0.53 % (1458873)Time elapsed: 0.008 s
% 1.39/0.53 % (1458873)Peak memory usage: 12 MB
% 1.39/0.59 % (1458873)Instructions burned: 31 (million)
% 1.39/0.59 % (1458877)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=326919742:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.39/0.59 % (1458880)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3275275621:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.39/0.59 % (1458868)Instruction limit reached!
% 1.39/0.59 % (1458868)------------------------------
% 1.39/0.59 % (1458868)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.59 % (1458868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.59 % (1458868)CaDiCaL version: 2.1.3
% 1.39/0.59 % (1458868)Termination reason: Instruction limit
% 1.39/0.59 % (1458868)Termination phase: Saturation
% 1.39/0.59 % (1458868)Time elapsed: 0.031 s
% 1.39/0.59 % (1458868)Peak memory usage: 12 MB
% 1.39/0.59 % (1458868)Instructions burned: 60 (million)
% 1.39/0.59 % (1458876)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=736179718:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.39/0.59 % (1458877)Instruction limit reached!
% 1.39/0.59 % (1458877)------------------------------
% 1.39/0.59 % (1458877)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.59 % (1458877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.59 % (1458877)CaDiCaL version: 2.1.3
% 1.39/0.59 % (1458877)Termination reason: Instruction limit
% 1.39/0.59 % (1458877)Termination phase: Saturation
% 1.39/0.59 % (1458877)Time elapsed: 0.010 s
% 1.39/0.59 % (1458877)Peak memory usage: 11 MB
% 1.39/0.59 % (1458877)Instructions burned: 24 (million)
% 1.39/0.59 % (1458878)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3580577503:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.39/0.59 % (1458876)Instruction limit reached!
% 1.39/0.59 % (1458876)------------------------------
% 1.39/0.59 % (1458876)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.59 % (1458876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.59 % (1458876)CaDiCaL version: 2.1.3
% 1.39/0.59 % (1458876)Termination reason: Instruction limit
% 1.39/0.59 % (1458876)Termination phase: Saturation
% 1.39/0.59 % (1458876)Time elapsed: 0.009 s
% 1.39/0.59 % (1458876)Peak memory usage: 12 MB
% 1.39/0.59 % (1458876)Instructions burned: 9 (million)
% 1.39/0.59 % (1458882)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=488668998:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.39/0.59 % (1458878)Instruction limit reached!
% 1.39/0.59 % (1458878)------------------------------
% 1.39/0.59 % (1458878)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.59 % (1458878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.59 % (1458887)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=893215775:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 1.39/0.59 % (1458878)CaDiCaL version: 2.1.3
% 1.39/0.59 % (1458878)Termination reason: Instruction limit
% 1.39/0.59 % (1458878)Termination phase: Saturation
% 1.39/0.59 % (1458878)Time elapsed: 0.019 s
% 1.39/0.59 % (1458878)Peak memory usage: 12 MB
% 1.39/0.59 % (1458878)Instructions burned: 21 (million)
% 1.39/0.59 % (1458885)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2107606423:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.39/0.59 % (1458885)Refutation not found, incomplete strategy
% 1.39/0.59 % (1458885)------------------------------
% 1.39/0.59 % (1458885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.39/0.59 % (1458885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/0.59 % (1458885)CaDiCaL version: 2.1.3
% 1.39/0.59 % (1458885)Termination reason: Refutation not found, incomplete strategy
% 1.39/0.59 % (1458885)Time elapsed: 0.001 s
% 1.39/0.59 % (1458885)Peak memory usage: 11 MB
% 1.39/0.59 % (1458885)------------------------------
% 1.39/0.59 % (1458885)------------------------------
% 1.39/0.59 % (1458888)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.39/0.59 % (1458891)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=4178377393:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.41/0.69 % (1458891)Refutation not found, incomplete strategy
% 2.41/0.69 % (1458891)------------------------------
% 2.41/0.69 % (1458891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.69 % (1458891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.69 % (1458891)CaDiCaL version: 2.1.3
% 2.41/0.69 % (1458891)Termination reason: Refutation not found, incomplete strategy
% 2.41/0.69 % (1458891)Time elapsed: 0.001 s
% 2.41/0.69 % (1458891)Peak memory usage: 11 MB
% 2.41/0.69 % (1458891)------------------------------
% 2.41/0.69 % (1458891)------------------------------
% 2.41/0.69 % (1458888)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=4021598513:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.41/0.69 % (1458887)Instruction limit reached!
% 2.41/0.69 % (1458887)------------------------------
% 2.41/0.69 % (1458887)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.69 % (1458887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.69 % (1458887)CaDiCaL version: 2.1.3
% 2.41/0.69 % (1458887)Termination reason: Instruction limit
% 2.41/0.69 % (1458887)Termination phase: Saturation
% 2.41/0.69 % (1458887)Time elapsed: 0.032 s
% 2.41/0.69 % (1458887)Peak memory usage: 12 MB
% 2.41/0.69 % (1458887)Instructions burned: 43 (million)
% 2.41/0.69 % (1458888)Instruction limit reached!
% 2.41/0.69 % (1458888)------------------------------
% 2.41/0.69 % (1458888)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.69 % (1458888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.69 % (1458888)CaDiCaL version: 2.1.3
% 2.41/0.69 % (1458888)Termination reason: Instruction limit
% 2.41/0.69 % (1458888)Termination phase: Saturation
% 2.41/0.69 % (1458888)Time elapsed: 0.008 s
% 2.41/0.69 % (1458888)Peak memory usage: 12 MB
% 2.41/0.69 % (1458888)Instructions burned: 7 (million)
% 2.41/0.69 % (1458824)Instruction limit reached!
% 2.41/0.69 % (1458824)------------------------------
% 2.41/0.69 % (1458824)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.69 % (1458824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.69 % (1458824)CaDiCaL version: 2.1.3
% 2.41/0.69 % (1458824)Termination reason: Instruction limit
% 2.41/0.69 % (1458824)Termination phase: Saturation
% 2.41/0.69 % (1458824)Time elapsed: 0.218 s
% 2.41/0.69 % (1458824)Peak memory usage: 13 MB
% 2.41/0.69 % (1458824)Instructions burned: 637 (million)
% 2.41/0.69 % (1458893)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=431857446: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)
% 2.41/0.69 % (1458893)Refutation not found, incomplete strategy
% 2.41/0.69 % (1458893)------------------------------
% 2.41/0.69 % (1458893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.69 % (1458895)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.41/0.69 % (1458893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.69 % (1458893)CaDiCaL version: 2.1.3
% 2.41/0.69 % (1458893)Termination reason: Refutation not found, incomplete strategy
% 2.41/0.69 % (1458893)Time elapsed: 0.001 s
% 2.41/0.69 % (1458893)Peak memory usage: 11 MB
% 2.41/0.69 % (1458893)------------------------------
% 2.41/0.69 % (1458893)------------------------------
% 2.41/0.69 % (1458895)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3741246886:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.41/0.69 % (1458895)Refutation not found, incomplete strategy
% 2.41/0.69 % (1458895)------------------------------
% 2.41/0.69 % (1458895)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.69 % (1458895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.69 % (1458895)CaDiCaL version: 2.1.3
% 2.41/0.69 % (1458895)Termination reason: Refutation not found, incomplete strategy
% 2.41/0.69 % (1458895)Time elapsed: 0.001 s
% 2.41/0.69 % (1458895)Peak memory usage: 11 MB
% 2.41/0.69 % (1458895)Instructions burned: 2 (million)
% 2.41/0.69 % (1458899)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=1346483252:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.70/0.74 % (1458895)------------------------------
% 2.70/0.74 % (1458895)------------------------------
% 2.70/0.74 % (1458897)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=565638736:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.70/0.74 % (1458901)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=380605363: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)
% 2.70/0.74 % (1458898)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3357066815:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.70/0.74 % (1458882)Instruction limit reached!
% 2.70/0.74 % (1458882)------------------------------
% 2.70/0.74 % (1458882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.74 % (1458882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.74 % (1458882)CaDiCaL version: 2.1.3
% 2.70/0.74 % (1458882)Termination reason: Instruction limit
% 2.70/0.74 % (1458882)Termination phase: Saturation
% 2.70/0.74 % (1458882)Time elapsed: 0.080 s
% 2.70/0.74 % (1458882)Peak memory usage: 12 MB
% 2.70/0.74 % (1458882)Instructions burned: 145 (million)
% 2.70/0.74 % (1458898)Refutation not found, incomplete strategy
% 2.70/0.74 % (1458898)------------------------------
% 2.70/0.74 % (1458898)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.74 % (1458898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.74 % (1458898)CaDiCaL version: 2.1.3
% 2.70/0.74 % (1458898)Termination reason: Refutation not found, incomplete strategy
% 2.70/0.74 % (1458898)Time elapsed: 0.006 s
% 2.70/0.74 % (1458898)Peak memory usage: 12 MB
% 2.70/0.74 % (1458898)Instructions burned: 3 (million)
% 2.70/0.74 % (1458898)------------------------------
% 2.70/0.74 % (1458898)------------------------------
% 2.70/0.74 % (1458897)Instruction limit reached!
% 2.70/0.74 % (1458897)------------------------------
% 2.70/0.74 % (1458897)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.74 % (1458897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.74 % (1458897)CaDiCaL version: 2.1.3
% 2.70/0.74 % (1458897)Termination reason: Instruction limit
% 2.70/0.74 % (1458897)Termination phase: Saturation
% 2.70/0.74 % (1458897)Time elapsed: 0.019 s
% 2.70/0.74 % (1458897)Peak memory usage: 12 MB
% 2.70/0.74 % (1458897)Instructions burned: 23 (million)
% 2.70/0.74 % (1458904)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=932539487: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)
% 2.70/0.74 % (1458908)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=680895813:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.70/0.74 % (1458908)Refutation not found, incomplete strategy
% 2.70/0.74 % (1458908)------------------------------
% 2.70/0.74 % (1458908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.74 % (1458908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.74 % (1458908)CaDiCaL version: 2.1.3
% 2.70/0.74 % (1458908)Termination reason: Refutation not found, incomplete strategy
% 2.70/0.74 % (1458908)Time elapsed: 0.001 s
% 2.70/0.74 % (1458908)Peak memory usage: 11 MB
% 2.70/0.74 % (1458908)Instructions burned: 1 (million)
% 2.70/0.74 % (1458908)------------------------------
% 2.70/0.74 % (1458908)------------------------------
% 2.70/0.74 % (1458909)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=785088248: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)
% 2.70/0.74 % (1458910)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.70/0.74 % (1458913)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=909173163:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 2.70/0.77 % (1458910)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3899861957:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.70/0.77 % (1458913)Instruction limit reached!
% 2.70/0.77 % (1458913)------------------------------
% 2.70/0.77 % (1458913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.77 % (1458913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.77 % (1458913)CaDiCaL version: 2.1.3
% 2.70/0.77 % (1458913)Termination reason: Instruction limit
% 2.70/0.77 % (1458913)Termination phase: Saturation
% 2.70/0.77 % (1458913)Time elapsed: 0.007 s
% 2.70/0.77 % (1458913)Peak memory usage: 12 MB
% 2.70/0.77 % (1458913)Instructions burned: 14 (million)
% 2.70/0.77 % (1458909)Instruction limit reached!
% 2.70/0.77 % (1458909)------------------------------
% 2.70/0.77 % (1458909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.77 % (1458909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.77 % (1458909)CaDiCaL version: 2.1.3
% 2.70/0.77 % (1458909)Termination reason: Instruction limit
% 2.70/0.77 % (1458909)Termination phase: Saturation
% 2.70/0.77 % (1458909)Time elapsed: 0.020 s
% 2.70/0.77 % (1458909)Peak memory usage: 12 MB
% 2.70/0.77 % (1458909)Instructions burned: 21 (million)
% 2.70/0.77 % (1458904)Instruction limit reached!
% 2.70/0.77 % (1458904)------------------------------
% 2.70/0.77 % (1458904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.77 % (1458904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.77 % (1458904)CaDiCaL version: 2.1.3
% 2.70/0.77 % (1458904)Termination reason: Instruction limit
% 2.70/0.77 % (1458904)Termination phase: Saturation
% 2.70/0.77 % (1458904)Time elapsed: 0.048 s
% 2.70/0.77 % (1458904)Peak memory usage: 12 MB
% 2.70/0.77 % (1458904)Instructions burned: 46 (million)
% 2.70/0.77 % (1458917)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=1894905226:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 2.70/0.77 % (1458919)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=956859526:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 2.70/0.77 % (1458918)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2260472607:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 2.70/0.77 % (1458918)Refutation not found, incomplete strategy
% 2.70/0.77 % (1458918)------------------------------
% 2.70/0.77 % (1458918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.77 % (1458918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.77 % (1458918)CaDiCaL version: 2.1.3
% 2.70/0.77 % (1458918)Termination reason: Refutation not found, incomplete strategy
% 2.70/0.77 % (1458918)Time elapsed: 0.005 s
% 2.70/0.77 % (1458918)Peak memory usage: 11 MB
% 2.70/0.77 % (1458918)Instructions burned: 1 (million)
% 2.70/0.77 % (1458918)------------------------------
% 2.70/0.77 % (1458918)------------------------------
% 2.70/0.77 % (1458919)Instruction limit reached!
% 2.70/0.77 % (1458919)------------------------------
% 2.70/0.77 % (1458919)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.77 % (1458919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.77 % (1458919)CaDiCaL version: 2.1.3
% 2.70/0.77 % (1458919)Termination reason: Instruction limit
% 2.70/0.77 % (1458919)Termination phase: Saturation
% 2.70/0.77 % (1458919)Time elapsed: 0.016 s
% 2.70/0.77 % (1458919)Peak memory usage: 12 MB
% 2.70/0.77 % (1458919)Instructions burned: 32 (million)
% 2.70/0.77 % (1458923)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=3083211547:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2996 on theBenchmark for (2996ds/137Mi)
% 2.70/0.77 % (1458924)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=3024204151:cond=on:i=34:hud=10:nm=10:rtra=on_2996 on theBenchmark for (2996ds/34Mi)
% 2.70/0.77 % (1458917)Instruction limit reached!
% 2.70/0.77 % (1458917)------------------------------
% 2.70/0.77 % (1458917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.77 % (1458917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/0.80 % (1458917)CaDiCaL version: 2.1.3
% 3.28/0.80 % (1458917)Termination reason: Instruction limit
% 3.28/0.80 % (1458917)Termination phase: Saturation
% 3.28/0.80 % (1458917)Time elapsed: 0.065 s
% 3.28/0.80 % (1458917)Peak memory usage: 12 MB
% 3.28/0.80 % (1458917)Instructions burned: 67 (million)
% 3.28/0.80 % (1458910)Instruction limit reached!
% 3.28/0.80 % (1458910)------------------------------
% 3.28/0.80 % (1458910)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.28/0.80 % (1458910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/0.80 % (1458910)CaDiCaL version: 2.1.3
% 3.28/0.80 % (1458910)Termination reason: Instruction limit
% 3.28/0.80 % (1458910)Termination phase: Saturation
% 3.28/0.80 % (1458910)Time elapsed: 0.102 s
% 3.28/0.80 % (1458910)Peak memory usage: 12 MB
% 3.28/0.80 % (1458910)Instructions burned: 200 (million)
% 3.28/0.80 % (1458880)Instruction limit reached!
% 3.28/0.80 % (1458880)------------------------------
% 3.28/0.80 % (1458880)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.28/0.80 % (1458880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/0.80 % (1458880)CaDiCaL version: 2.1.3
% 3.28/0.80 % (1458880)Termination reason: Instruction limit
% 3.28/0.80 % (1458880)Termination phase: Saturation
% 3.28/0.80 % (1458880)Time elapsed: 0.258 s
% 3.28/0.80 % (1458880)Peak memory usage: 13 MB
% 3.28/0.80 % (1458880)Instructions burned: 1243 (million)
% 3.28/0.80 % (1458928)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.28/0.80 % (1458929)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=1225287491:st=2:i=246:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/246Mi)
% 3.28/0.80 % (1458929)Refutation not found, incomplete strategy
% 3.28/0.80 % (1458929)------------------------------
% 3.28/0.80 % (1458929)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.28/0.80 % (1458929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/0.80 % (1458929)CaDiCaL version: 2.1.3
% 3.28/0.80 % (1458929)Termination reason: Refutation not found, incomplete strategy
% 3.28/0.80 % (1458929)Time elapsed: 0.0000 s
% 3.28/0.80 % (1458929)Peak memory usage: 11 MB
% 3.28/0.80 % (1458929)------------------------------
% 3.28/0.80 % (1458929)------------------------------
% 3.28/0.80 % (1458928)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=814142000:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 3.28/0.80 % (1458924)Instruction limit reached!
% 3.28/0.80 % (1458924)------------------------------
% 3.28/0.80 % (1458924)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.28/0.80 % (1458924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/0.80 % (1458924)CaDiCaL version: 2.1.3
% 3.28/0.80 % (1458924)Termination reason: Instruction limit
% 3.28/0.80 % (1458924)Termination phase: Saturation
% 3.28/0.80 % (1458924)Time elapsed: 0.037 s
% 3.28/0.80 % (1458924)Peak memory usage: 12 MB
% 3.28/0.80 % (1458924)Instructions burned: 35 (million)
% 3.28/0.80 % (1458923)Instruction limit reached!
% 3.28/0.80 % (1458923)------------------------------
% 3.28/0.80 % (1458923)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.28/0.80 % (1458923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/0.80 % (1458923)CaDiCaL version: 2.1.3
% 3.28/0.80 % (1458923)Termination reason: Instruction limit
% 3.28/0.80 % (1458923)Termination phase: Saturation
% 3.28/0.80 % (1458923)Time elapsed: 0.054 s
% 3.28/0.80 % (1458923)Peak memory usage: 12 MB
% 3.28/0.80 % (1458923)Instructions burned: 137 (million)
% 3.28/0.80 % (1458931)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=1181529402:cond=on:i=96:bd=all:rtra=on_2995 on theBenchmark for (2995ds/96Mi)
% 3.28/0.80 % (1458927)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3449225516:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 3.28/0.80 % (1458899)Instruction limit reached!
% 3.28/0.80 % (1458899)------------------------------
% 3.28/0.80 % (1458899)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.28/0.80 % (1458899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/0.80 % (1458899)CaDiCaL version: 2.1.3
% 3.28/0.80 % (1458899)Termination reason: Instruction limit
% 3.28/0.87 % (1458899)Termination phase: Saturation
% 3.28/0.87 % (1458899)Time elapsed: 0.210 s
% 3.28/0.87 % (1458899)Peak memory usage: 14 MB
% 3.28/0.87 % (1458899)Instructions burned: 316 (million)
% 3.28/0.87 % (1458927)Refutation not found, incomplete strategy
% 3.28/0.87 % (1458927)------------------------------
% 3.28/0.87 % (1458927)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.28/0.87 % (1458927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/0.87 % (1458927)CaDiCaL version: 2.1.3
% 3.28/0.87 % (1458927)Termination reason: Refutation not found, incomplete strategy
% 3.28/0.87 % (1458927)Time elapsed: 0.005 s
% 3.28/0.87 % (1458927)Peak memory usage: 11 MB
% 3.28/0.87 % (1458927)Instructions burned: 1 (million)
% 3.28/0.87 % (1458927)------------------------------
% 3.28/0.87 % (1458927)------------------------------
% 3.28/0.87 % (1458934)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1717951056:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/874Mi)
% 3.28/0.87 % (1458934)Refutation not found, incomplete strategy
% 3.28/0.87 % (1458934)------------------------------
% 3.28/0.87 % (1458934)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.28/0.87 % (1458934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/0.87 % (1458934)CaDiCaL version: 2.1.3
% 3.28/0.87 % (1458934)Termination reason: Refutation not found, incomplete strategy
% 3.28/0.87 % (1458934)Time elapsed: 0.001 s
% 3.28/0.87 % (1458934)Peak memory usage: 11 MB
% 3.28/0.87 % (1458931)Instruction limit reached!
% 3.28/0.87 % (1458931)------------------------------
% 3.28/0.87 % (1458931)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.28/0.87 % (1458931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/0.87 % (1458931)CaDiCaL version: 2.1.3
% 3.28/0.87 % (1458931)Termination reason: Instruction limit
% 3.28/0.87 % (1458931)Termination phase: Saturation
% 3.28/0.87 % (1458931)Time elapsed: 0.023 s
% 3.28/0.87 % (1458931)Peak memory usage: 12 MB
% 3.28/0.87 % (1458931)Instructions burned: 97 (million)
% 3.28/0.87 % (1458934)------------------------------
% 3.28/0.87 % (1458934)------------------------------
% 3.28/0.87 % (1458933)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=2727859783:i=427:sd=1:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/427Mi)
% 3.28/0.87 % (1458933)Refutation not found, incomplete strategy
% 3.28/0.87 % (1458933)------------------------------
% 3.28/0.87 % (1458933)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.28/0.87 % (1458933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/0.87 % (1458933)CaDiCaL version: 2.1.3
% 3.28/0.87 % (1458933)Termination reason: Refutation not found, incomplete strategy
% 3.28/0.87 % (1458933)Time elapsed: 0.005 s
% 3.28/0.87 % (1458933)Peak memory usage: 11 MB
% 3.28/0.87 % (1458937)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3732995521:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/515Mi)
% 3.28/0.87 % (1458933)------------------------------
% 3.28/0.87 % (1458933)------------------------------
% 3.28/0.87 % (1458937)Refutation not found, incomplete strategy
% 3.28/0.87 % (1458937)------------------------------
% 3.28/0.87 % (1458937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.28/0.87 % (1458937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/0.87 % (1458937)CaDiCaL version: 2.1.3
% 3.28/0.87 % (1458937)Termination reason: Refutation not found, incomplete strategy
% 3.28/0.87 % (1458937)Time elapsed: 0.001 s
% 3.28/0.87 % (1458937)Peak memory usage: 12 MB
% 3.28/0.87 % (1458937)------------------------------
% 3.28/0.87 % (1458937)------------------------------
% 3.28/0.87 % (1458940)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=597804093:i=44:ep=R:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/44Mi)
% 3.28/0.87 % (1458941)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=1233220197:s2a=on:i=571:nm=16:rtra=on_2995 on theBenchmark for (2995ds/571Mi)
% 3.28/0.87 % (1458941)Refutation not found, incomplete strategy
% 3.28/0.87 % (1458941)------------------------------
% 3.28/0.87 % (1458941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.28/0.87 % (1458941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/0.94 % (1458941)CaDiCaL version: 2.1.3
% 3.63/0.94 % (1458941)Termination reason: Refutation not found, incomplete strategy
% 3.63/0.94 % (1458941)Time elapsed: 0.0000 s
% 3.63/0.94 % (1458941)Peak memory usage: 12 MB
% 3.63/0.94 % (1458941)Instructions burned: 1 (million)
% 3.63/0.94 % (1458938)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1219214263:st=1.5:i=130:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/130Mi)
% 3.63/0.94 % (1458941)------------------------------
% 3.63/0.94 % (1458941)------------------------------
% 3.63/0.94 % (1458938)Refutation not found, incomplete strategy
% 3.63/0.94 % (1458938)------------------------------
% 3.63/0.94 % (1458938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.63/0.94 % (1458938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/0.94 % (1458938)CaDiCaL version: 2.1.3
% 3.63/0.94 % (1458938)Termination reason: Refutation not found, incomplete strategy
% 3.63/0.94 % (1458938)Time elapsed: 0.003 s
% 3.63/0.94 % (1458938)Peak memory usage: 11 MB
% 3.63/0.94 % (1458938)Instructions burned: 2 (million)
% 3.63/0.94 % (1458938)------------------------------
% 3.63/0.94 % (1458938)------------------------------
% 3.63/0.94 % (1458940)Instruction limit reached!
% 3.63/0.94 % (1458940)------------------------------
% 3.63/0.94 % (1458940)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.63/0.94 % (1458940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/0.94 % (1458940)CaDiCaL version: 2.1.3
% 3.63/0.94 % (1458940)Termination reason: Instruction limit
% 3.63/0.94 % (1458940)Termination phase: Saturation
% 3.63/0.94 % (1458940)Time elapsed: 0.012 s
% 3.63/0.94 % (1458940)Peak memory usage: 12 MB
% 3.63/0.94 % (1458940)Instructions burned: 45 (million)
% 3.63/0.94 % (1458944)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=3149905085:i=450:rtra=on:ixr=off:ntd=on_2994 on theBenchmark for (2994ds/450Mi)
% 3.63/0.94 % (1458951)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=351175888:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2994 on theBenchmark for (2994ds/5755Mi)
% 3.63/0.94 % (1458951)Refutation not found, incomplete strategy
% 3.63/0.94 % (1458951)------------------------------
% 3.63/0.94 % (1458951)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.63/0.94 % (1458951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/0.94 % (1458951)CaDiCaL version: 2.1.3
% 3.63/0.94 % (1458951)Termination reason: Refutation not found, incomplete strategy
% 3.63/0.94 % (1458951)Time elapsed: 0.0000 s
% 3.63/0.94 % (1458951)Peak memory usage: 12 MB
% 3.63/0.94 % (1458951)------------------------------
% 3.63/0.94 % (1458951)------------------------------
% 3.63/0.94 % (1458945)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=1894561309:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/95Mi)
% 3.63/0.94 % (1458928)Instruction limit reached!
% 3.63/0.94 % (1458928)------------------------------
% 3.63/0.94 % (1458928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.63/0.94 % (1458928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/0.94 % (1458928)CaDiCaL version: 2.1.3
% 3.63/0.94 % (1458928)Termination reason: Instruction limit
% 3.63/0.94 % (1458928)Termination phase: Saturation
% 3.63/0.94 % (1458928)Time elapsed: 0.081 s
% 3.63/0.94 % (1458928)Peak memory usage: 12 MB
% 3.63/0.94 % (1458928)Instructions burned: 181 (million)
% 3.63/0.94 % (1458949)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=1130914716:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2994 on theBenchmark for (2994ds/65Mi)
% 3.63/0.94 % (1458954)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=3481895591:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/375Mi)
% 3.63/0.94 % (1458954)Refutation not found, incomplete strategy
% 3.63/0.94 % (1458954)------------------------------
% 3.63/0.94 % (1458954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.63/0.94 % (1458954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/0.94 % (1458954)CaDiCaL version: 2.1.3
% 3.63/0.94 % (1458954)Termination reason: Refutation not found, incomplete strategy
% 4.61/1.05 % (1458954)Time elapsed: 0.0000 s
% 4.61/1.05 % (1458954)Peak memory usage: 11 MB
% 4.61/1.05 % (1458954)------------------------------
% 4.61/1.05 % (1458954)------------------------------
% 4.61/1.05 % (1458959)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=2089334255:cond=on:i=34:hud=10:nm=10:rtra=on_2994 on theBenchmark for (2994ds/34Mi)
% 4.61/1.05 % (1458950)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=768492398: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)
% 4.61/1.05 % (1458956)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3427177703:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2994 on theBenchmark for (2994ds/495Mi)
% 4.61/1.05 % (1458959)Instruction limit reached!
% 4.61/1.05 % (1458959)------------------------------
% 4.61/1.05 % (1458959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.61/1.05 % (1458959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.05 % (1458959)CaDiCaL version: 2.1.3
% 4.61/1.05 % (1458959)Termination reason: Instruction limit
% 4.61/1.05 % (1458959)Termination phase: Saturation
% 4.61/1.05 % (1458959)Time elapsed: 0.010 s
% 4.61/1.05 % (1458959)Peak memory usage: 12 MB
% 4.61/1.05 % (1458959)Instructions burned: 37 (million)
% 4.61/1.05 % (1458949)Instruction limit reached!
% 4.61/1.05 % (1458949)------------------------------
% 4.61/1.05 % (1458949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.61/1.05 % (1458949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.05 % (1458949)CaDiCaL version: 2.1.3
% 4.61/1.05 % (1458949)Termination reason: Instruction limit
% 4.61/1.05 % (1458949)Termination phase: Saturation
% 4.61/1.05 % (1458949)Time elapsed: 0.032 s
% 4.61/1.05 % (1458949)Peak memory usage: 12 MB
% 4.61/1.05 % (1458949)Instructions burned: 66 (million)
% 4.61/1.05 % (1458963)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=4024417956:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2994 on theBenchmark for (2994ds/91Mi)
% 4.61/1.05 % (1458965)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=1139538077:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2994 on theBenchmark for (2994ds/66Mi)
% 4.61/1.05 % (1458963)Instruction limit reached!
% 4.61/1.05 % (1458963)------------------------------
% 4.61/1.05 % (1458963)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.61/1.05 % (1458963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.05 % (1458963)CaDiCaL version: 2.1.3
% 4.61/1.05 % (1458963)Termination reason: Instruction limit
% 4.61/1.05 % (1458963)Termination phase: Saturation
% 4.61/1.05 % (1458963)Time elapsed: 0.019 s
% 4.61/1.05 % (1458963)Peak memory usage: 12 MB
% 4.61/1.05 % (1458963)Instructions burned: 92 (million)
% 4.61/1.05 % (1458965)Refutation not found, incomplete strategy
% 4.61/1.05 % (1458965)------------------------------
% 4.61/1.05 % (1458965)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.61/1.05 % (1458965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.05 % (1458965)CaDiCaL version: 2.1.3
% 4.61/1.05 % (1458965)Termination reason: Refutation not found, incomplete strategy
% 4.61/1.05 % (1458965)Time elapsed: 0.001 s
% 4.61/1.05 % (1458965)Peak memory usage: 11 MB
% 4.61/1.05 % (1458965)------------------------------
% 4.61/1.05 % (1458965)------------------------------
% 4.61/1.05 % (1458945)Instruction limit reached!
% 4.61/1.05 % (1458945)------------------------------
% 4.61/1.05 % (1458945)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.61/1.05 % (1458945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.05 % (1458945)CaDiCaL version: 2.1.3
% 4.61/1.05 % (1458945)Termination reason: Instruction limit
% 4.61/1.05 % (1458945)Termination phase: Saturation
% 4.61/1.05 % (1458945)Time elapsed: 0.064 s
% 4.61/1.05 % (1458945)Peak memory usage: 12 MB
% 4.61/1.05 % (1458945)Instructions burned: 96 (million)
% 4.61/1.05 % (1458967)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3849680544:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2993 on theBenchmark for (2993ds/22Mi)
% 4.61/1.11 % (1458967)Instruction limit reached!
% 4.61/1.11 % (1458967)------------------------------
% 4.61/1.11 % (1458967)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.61/1.11 % (1458967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.11 % (1458967)CaDiCaL version: 2.1.3
% 4.61/1.11 % (1458967)Termination reason: Instruction limit
% 4.61/1.11 % (1458967)Termination phase: Saturation
% 4.61/1.11 % (1458967)Time elapsed: 0.006 s
% 4.61/1.11 % (1458967)Peak memory usage: 12 MB
% 4.61/1.11 % (1458967)Instructions burned: 27 (million)
% 4.61/1.11 % (1458968)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=3929044213:i=338:bd=all:ins=4:rtra=on_2993 on theBenchmark for (2993ds/338Mi)
% 4.61/1.11 % (1458969)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1430390183:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2993 on theBenchmark for (2993ds/28Mi)
% 4.61/1.11 % (1458971)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 4.61/1.11 % (1458969)Refutation not found, incomplete strategy
% 4.61/1.11 % (1458969)------------------------------
% 4.61/1.11 % (1458969)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.61/1.11 % (1458969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.11 % (1458969)CaDiCaL version: 2.1.3
% 4.61/1.11 % (1458969)Termination reason: Refutation not found, incomplete strategy
% 4.61/1.11 % (1458969)Time elapsed: 0.001 s
% 4.61/1.11 % (1458969)Peak memory usage: 11 MB
% 4.61/1.11 % (1458969)------------------------------
% 4.61/1.11 % (1458969)------------------------------
% 4.61/1.11 % (1458971)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=2476718055: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)
% 4.61/1.11 % (1458975)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=4038214735:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2993 on theBenchmark for (2993ds/340Mi)
% 4.61/1.11 % (1458950)Instruction limit reached!
% 4.61/1.11 % (1458950)------------------------------
% 4.61/1.11 % (1458950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.61/1.11 % (1458950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.11 % (1458950)CaDiCaL version: 2.1.3
% 4.61/1.11 % (1458950)Termination reason: Instruction limit
% 4.61/1.11 % (1458950)Termination phase: Saturation
% 4.61/1.11 % (1458950)Time elapsed: 0.095 s
% 4.61/1.11 % (1458950)Peak memory usage: 12 MB
% 4.61/1.11 % (1458950)Instructions burned: 106 (million)
% 4.61/1.11 % (1458971)Instruction limit reached!
% 4.61/1.11 % (1458971)------------------------------
% 4.61/1.11 % (1458971)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.61/1.11 % (1458971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.11 % (1458971)CaDiCaL version: 2.1.3
% 4.61/1.11 % (1458971)Termination reason: Instruction limit
% 4.61/1.11 % (1458971)Termination phase: Saturation
% 4.61/1.11 % (1458971)Time elapsed: 0.033 s
% 4.61/1.11 % (1458971)Peak memory usage: 12 MB
% 4.61/1.11 % (1458971)Instructions burned: 138 (million)
% 4.61/1.11 % (1458901)Instruction limit reached!
% 4.61/1.11 % (1458901)------------------------------
% 4.61/1.11 % (1458901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.61/1.11 % (1458901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.11 % (1458901)CaDiCaL version: 2.1.3
% 4.61/1.11 % (1458901)Termination reason: Instruction limit
% 4.61/1.11 % (1458901)Termination phase: Saturation
% 4.61/1.11 % (1458901)Time elapsed: 0.388 s
% 4.61/1.11 % (1458901)Peak memory usage: 13 MB
% 4.61/1.11 % (1458901)Instructions burned: 854 (million)
% 4.61/1.11 % (1458977)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=1466085247:i=227:sd=1:bd=all:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/227Mi)
% 4.61/1.11 % (1458977)Refutation not found, incomplete strategy
% 4.61/1.11 % (1458977)------------------------------
% 4.61/1.11 % (1458977)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.61/1.11 % (1458977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.11 % (1458977)CaDiCaL version: 2.1.3
% 5.18/1.16 % (1458977)Termination reason: Refutation not found, incomplete strategy
% 5.18/1.16 % (1458977)Time elapsed: 0.001 s
% 5.18/1.16 % (1458977)Peak memory usage: 11 MB
% 5.18/1.16 % (1458977)------------------------------
% 5.18/1.16 % (1458977)------------------------------
% 5.18/1.16 % (1458978)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 5.18/1.16 % (1458978)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=974590365:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/373Mi)
% 5.18/1.16 % (1458979)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=3654851586:i=116:ep=RSTC:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/116Mi)
% 5.18/1.16 % (1458981)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3886298836:i=575:rtra=on_2993 on theBenchmark for (2993ds/575Mi)
% 5.18/1.16 % (1458981)Refutation not found, incomplete strategy
% 5.18/1.16 % (1458981)------------------------------
% 5.18/1.16 % (1458981)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.18/1.16 % (1458981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.18/1.16 % (1458981)CaDiCaL version: 2.1.3
% 5.18/1.16 % (1458981)Termination reason: Refutation not found, incomplete strategy
% 5.18/1.16 % (1458981)Time elapsed: 0.001 s
% 5.18/1.16 % (1458981)Peak memory usage: 11 MB
% 5.18/1.16 % (1458981)Instructions burned: 1 (million)
% 5.18/1.16 % (1458981)------------------------------
% 5.18/1.16 % (1458981)------------------------------
% 5.18/1.16 % (1458985)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3991414246:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2992 on theBenchmark for (2992ds/270Mi)
% 5.18/1.16 % (1458979)Instruction limit reached!
% 5.18/1.16 % (1458979)------------------------------
% 5.18/1.16 % (1458979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.18/1.16 % (1458979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.18/1.16 % (1458979)CaDiCaL version: 2.1.3
% 5.18/1.16 % (1458979)Termination reason: Instruction limit
% 5.18/1.16 % (1458979)Termination phase: Saturation
% 5.18/1.16 % (1458979)Time elapsed: 0.064 s
% 5.18/1.16 % (1458979)Peak memory usage: 12 MB
% 5.18/1.16 % (1458979)Instructions burned: 117 (million)
% 5.18/1.16 % (1458968)Instruction limit reached!
% 5.18/1.16 % (1458968)------------------------------
% 5.18/1.16 % (1458968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.18/1.16 % (1458968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.18/1.16 % (1458968)CaDiCaL version: 2.1.3
% 5.18/1.16 % (1458968)Termination reason: Instruction limit
% 5.18/1.16 % (1458968)Termination phase: Saturation
% 5.18/1.16 % (1458968)Time elapsed: 0.148 s
% 5.18/1.16 % (1458968)Peak memory usage: 14 MB
% 5.18/1.16 % (1458968)Instructions burned: 340 (million)
% 5.18/1.16 % (1458944)Instruction limit reached!
% 5.18/1.16 % (1458944)------------------------------
% 5.18/1.16 % (1458944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.18/1.16 % (1458944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.18/1.16 % (1458944)CaDiCaL version: 2.1.3
% 5.18/1.16 % (1458944)Termination reason: Instruction limit
% 5.18/1.16 % (1458944)Termination phase: Saturation
% 5.18/1.16 % (1458944)Time elapsed: 0.242 s
% 5.18/1.16 % (1458944)Peak memory usage: 12 MB
% 5.18/1.16 % (1458944)Instructions burned: 453 (million)
% 5.18/1.16 % (1458987)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=791410744:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2992 on theBenchmark for (2992ds/9840Mi)
% 5.18/1.16 % (1458988)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=1698978463:i=421:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/421Mi)
% 5.18/1.16 % (1458990)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
% 5.18/1.16 % (1458988)Refutation not found, incomplete strategy
% 5.18/1.16 % (1458988)------------------------------
% 5.18/1.16 % (1458988)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.49/1.20 % (1458988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.20 % (1458988)CaDiCaL version: 2.1.3
% 5.49/1.20 % (1458988)Termination reason: Refutation not found, incomplete strategy
% 5.49/1.20 % (1458988)Time elapsed: 0.001 s
% 5.49/1.20 % (1458988)Peak memory usage: 11 MB
% 5.49/1.20 % (1458988)------------------------------
% 5.49/1.20 % (1458988)------------------------------
% 5.49/1.20 % (1458990)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=744594288:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/270Mi)
% 5.49/1.20 % (1458975)Instruction limit reached!
% 5.49/1.20 % (1458975)------------------------------
% 5.49/1.20 % (1458975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.49/1.20 % (1458975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.20 % (1458975)CaDiCaL version: 2.1.3
% 5.49/1.20 % (1458975)Termination reason: Instruction limit
% 5.49/1.20 % (1458975)Termination phase: Saturation
% 5.49/1.20 % (1458975)Time elapsed: 0.158 s
% 5.49/1.20 % (1458975)Peak memory usage: 13 MB
% 5.49/1.20 % (1458975)Instructions burned: 343 (million)
% 5.49/1.20 % (1458992)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2464659976:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/31Mi)
% 5.49/1.20 % (1458994)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 5.49/1.20 % (1458994)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
% 5.49/1.20 % (1458994)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=2894839946:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2991 on theBenchmark for (2991ds/1440Mi)
% 5.49/1.20 % (1458992)Instruction limit reached!
% 5.49/1.20 % (1458992)------------------------------
% 5.49/1.20 % (1458992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.49/1.20 % (1458992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.20 % (1458992)CaDiCaL version: 2.1.3
% 5.49/1.20 % (1458992)Termination reason: Instruction limit
% 5.49/1.20 % (1458992)Termination phase: Saturation
% 5.49/1.20 % (1458992)Time elapsed: 0.016 s
% 5.49/1.20 % (1458992)Peak memory usage: 12 MB
% 5.49/1.20 % (1458992)Instructions burned: 32 (million)
% 5.49/1.20 % (1458978)Instruction limit reached!
% 5.49/1.20 % (1458978)------------------------------
% 5.49/1.20 % (1458978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.49/1.20 % (1458978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.20 % (1458978)CaDiCaL version: 2.1.3
% 5.49/1.20 % (1458978)Termination reason: Instruction limit
% 5.49/1.20 % (1458978)Termination phase: Saturation
% 5.49/1.20 % (1458978)Time elapsed: 0.154 s
% 5.49/1.20 % (1458978)Peak memory usage: 12 MB
% 5.49/1.20 % (1458978)Instructions burned: 377 (million)
% 5.49/1.20 % (1458956)Instruction limit reached!
% 5.49/1.20 % (1458956)------------------------------
% 5.49/1.20 % (1458956)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.49/1.20 % (1458956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.20 % (1458956)CaDiCaL version: 2.1.3
% 5.49/1.20 % (1458956)Termination reason: Instruction limit
% 5.49/1.20 % (1458956)Termination phase: Saturation
% 5.49/1.20 % (1458956)Time elapsed: 0.285 s
% 5.49/1.20 % (1458956)Peak memory usage: 13 MB
% 5.49/1.20 % (1458956)Instructions burned: 495 (million)
% 5.49/1.20 % (1458997)dis+10_2_sil=128000:si=on:random_seed=4067919845:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2991 on theBenchmark for (2991ds/339Mi)
% 5.49/1.20 % (1458997)Refutation not found, incomplete strategy
% 5.49/1.20 % (1458997)------------------------------
% 5.49/1.20 % (1458997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.49/1.20 % (1458997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.20 % (1458997)CaDiCaL version: 2.1.3
% 5.49/1.20 % (1458997)Termination reason: Refutation not found, incomplete strategy
% 5.49/1.20 % (1458997)Time elapsed: 0.0000 s
% 5.74/1.33 % (1458997)Peak memory usage: 11 MB
% 5.74/1.33 % (1458997)------------------------------
% 5.74/1.33 % (1458997)------------------------------
% 5.74/1.33 % (1458998)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=3044886554:i=111:add=on:fgj=on:rtra=on:fdi=1024_2991 on theBenchmark for (2991ds/111Mi)
% 5.74/1.33 % (1459001)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=3637150865:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/136Mi)
% 5.74/1.33 % (1458999)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=4044013882:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2991 on theBenchmark for (2991ds/122Mi)
% 5.74/1.33 % (1458999)Refutation not found, incomplete strategy
% 5.74/1.33 % (1458999)------------------------------
% 5.74/1.33 % (1458999)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.74/1.33 % (1458999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.74/1.33 % (1458999)CaDiCaL version: 2.1.3
% 5.74/1.33 % (1458999)Termination reason: Refutation not found, incomplete strategy
% 5.74/1.33 % (1458999)Time elapsed: 0.0000 s
% 5.74/1.33 % (1458999)Peak memory usage: 11 MB
% 5.74/1.33 % (1458999)------------------------------
% 5.74/1.33 % (1458999)------------------------------
% 5.74/1.33 % (1459001)Refutation not found, incomplete strategy
% 5.74/1.33 % (1459001)------------------------------
% 5.74/1.33 % (1459001)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.74/1.33 % (1459001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.74/1.33 % (1459001)CaDiCaL version: 2.1.3
% 5.74/1.33 % (1459001)Termination reason: Refutation not found, incomplete strategy
% 5.74/1.33 % (1459001)Time elapsed: 0.001 s
% 5.74/1.33 % (1459001)Peak memory usage: 11 MB
% 5.74/1.33 % (1459001)Instructions burned: 1 (million)
% 5.74/1.33 % (1459001)------------------------------
% 5.74/1.33 % (1459001)------------------------------
% 5.74/1.33 % (1459006)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=4126379691:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2991 on theBenchmark for (2991ds/1254Mi)
% 5.74/1.33 % (1459005)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1669504058:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2991 on theBenchmark for (2991ds/232Mi)
% 5.74/1.33 % (1459005)Refutation not found, incomplete strategy
% 5.74/1.33 % (1459005)------------------------------
% 5.74/1.33 % (1459005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.74/1.33 % (1459005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.74/1.33 % (1459005)CaDiCaL version: 2.1.3
% 5.74/1.33 % (1459005)Termination reason: Refutation not found, incomplete strategy
% 5.74/1.33 % (1459005)Time elapsed: 0.0000 s
% 5.74/1.33 % (1459005)Peak memory usage: 11 MB
% 5.74/1.33 % (1459005)------------------------------
% 5.74/1.33 % (1459005)------------------------------
% 5.74/1.33 % (1459006)Refutation not found, incomplete strategy
% 5.74/1.33 % (1459006)------------------------------
% 5.74/1.33 % (1459006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.74/1.33 % (1459006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.74/1.33 % (1459006)CaDiCaL version: 2.1.3
% 5.74/1.33 % (1459006)Termination reason: Refutation not found, incomplete strategy
% 5.74/1.33 % (1459006)Time elapsed: 0.002 s
% 5.74/1.33 % (1459006)Peak memory usage: 11 MB
% 5.74/1.33 % (1459006)Instructions burned: 3 (million)
% 5.74/1.33 % (1459006)------------------------------
% 5.74/1.33 % (1459006)------------------------------
% 5.74/1.33 % (1458998)Instruction limit reached!
% 5.74/1.33 % (1458998)------------------------------
% 5.74/1.33 % (1458998)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.74/1.33 % (1458998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.74/1.33 % (1458998)CaDiCaL version: 2.1.3
% 5.74/1.33 % (1458998)Termination reason: Instruction limit
% 5.74/1.33 % (1458998)Termination phase: Saturation
% 5.74/1.33 % (1458998)Time elapsed: 0.049 s
% 5.74/1.33 % (1458998)Peak memory usage: 12 MB
% 5.74/1.33 % (1458998)Instructions burned: 116 (million)
% 5.74/1.33 % (1458990)Instruction limit reached!
% 5.74/1.33 % (1458990)------------------------------
% 6.16/1.44 % (1458990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.16/1.44 % (1458990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.44 % (1458990)CaDiCaL version: 2.1.3
% 6.16/1.44 % (1458990)Termination reason: Instruction limit
% 6.16/1.44 % (1458990)Termination phase: Saturation
% 6.16/1.44 % (1458990)Time elapsed: 0.106 s
% 6.16/1.44 % (1458990)Peak memory usage: 12 MB
% 6.16/1.44 % (1458990)Instructions burned: 271 (million)
% 6.16/1.44 % (1459009)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 6.16/1.44 % (1459009)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=3737790190:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2991 on theBenchmark for (2991ds/281Mi)
% 6.16/1.44 % (1459011)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=443013966:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/865Mi)
% 6.16/1.44 % (1459010)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1083661804:i=619:add=on:rtra=on_2991 on theBenchmark for (2991ds/619Mi)
% 6.16/1.44 % (1459010)Refutation not found, incomplete strategy
% 6.16/1.44 % (1459010)------------------------------
% 6.16/1.44 % (1459010)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.16/1.44 % (1459010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.44 % (1459010)CaDiCaL version: 2.1.3
% 6.16/1.44 % (1459010)Termination reason: Refutation not found, incomplete strategy
% 6.16/1.44 % (1459010)Time elapsed: 0.002 s
% 6.16/1.44 % (1459010)Peak memory usage: 12 MB
% 6.16/1.44 % (1459010)Instructions burned: 3 (million)
% 6.16/1.44 % (1459010)------------------------------
% 6.16/1.44 % (1459010)------------------------------
% 6.16/1.44 % (1459012)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1797233025:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2990 on theBenchmark for (2990ds/212Mi)
% 6.16/1.44 % (1459012)Refutation not found, incomplete strategy
% 6.16/1.44 % (1459012)------------------------------
% 6.16/1.44 % (1459012)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.16/1.44 % (1459012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.44 % (1459012)CaDiCaL version: 2.1.3
% 6.16/1.44 % (1459012)Termination reason: Refutation not found, incomplete strategy
% 6.16/1.44 % (1459012)Time elapsed: 0.001 s
% 6.16/1.44 % (1459012)Peak memory usage: 11 MB
% 6.16/1.44 % (1459012)------------------------------
% 6.16/1.44 % (1459012)------------------------------
% 6.16/1.44 % (1458985)Instruction limit reached!
% 6.16/1.44 % (1458985)------------------------------
% 6.16/1.44 % (1458985)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.16/1.44 % (1458985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.44 % (1458985)CaDiCaL version: 2.1.3
% 6.16/1.44 % (1458985)Termination reason: Instruction limit
% 6.16/1.44 % (1458985)Termination phase: Saturation
% 6.16/1.44 % (1458985)Time elapsed: 0.203 s
% 6.16/1.44 % (1458985)Peak memory usage: 12 MB
% 6.16/1.44 % (1458985)Instructions burned: 270 (million)
% 6.16/1.44 % (1459016)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=3624312710:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/130Mi)
% 6.16/1.44 % (1459016)Refutation not found, incomplete strategy
% 6.16/1.44 % (1459016)------------------------------
% 6.16/1.44 % (1459016)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.16/1.44 % (1459016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.44 % (1459016)CaDiCaL version: 2.1.3
% 6.16/1.44 % (1459016)Termination reason: Refutation not found, incomplete strategy
% 6.16/1.44 % (1459016)Time elapsed: 0.0000 s
% 6.16/1.44 % (1459016)Peak memory usage: 11 MB
% 6.16/1.44 % (1459018)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1761855505:st=1.5:i=346:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/346Mi)
% 6.16/1.44 % (1459018)Refutation not found, incomplete strategy
% 6.16/1.44 % (1459018)------------------------------
% 6.16/1.44 % (1459018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.16/1.44 % (1459018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.73 % (1459018)CaDiCaL version: 2.1.3
% 6.93/1.73 % (1459018)Termination reason: Refutation not found, incomplete strategy
% 6.93/1.73 % (1459018)Time elapsed: 0.001 s
% 6.93/1.73 % (1459018)Peak memory usage: 11 MB
% 6.93/1.73 % (1459018)Instructions burned: 1 (million)
% 6.93/1.73 % (1459016)------------------------------
% 6.93/1.73 % (1459016)------------------------------
% 6.93/1.73 % (1459018)------------------------------
% 6.93/1.73 % (1459018)------------------------------
% 6.93/1.73 % (1459019)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=4087509659:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2990 on theBenchmark for (2990ds/152Mi)
% 6.93/1.73 % (1459024)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=3438248558:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/387Mi)
% 6.93/1.73 % (1459024)Refutation not found, incomplete strategy
% 6.93/1.73 % (1459024)------------------------------
% 6.93/1.73 % (1459024)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.93/1.73 % (1459024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.73 % (1459024)CaDiCaL version: 2.1.3
% 6.93/1.73 % (1459024)Termination reason: Refutation not found, incomplete strategy
% 6.93/1.73 % (1459024)Time elapsed: 0.001 s
% 6.93/1.73 % (1459024)Peak memory usage: 11 MB
% 6.93/1.73 % (1459024)Instructions burned: 1 (million)
% 6.93/1.73 % (1459024)------------------------------
% 6.93/1.73 % (1459024)------------------------------
% 6.93/1.73 % (1459022)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1054315341:i=75:ep=R:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/75Mi)
% 6.93/1.73 % (1459026)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=3161180968:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2990 on theBenchmark for (2990ds/148Mi)
% 6.93/1.73 % (1459019)Instruction limit reached!
% 6.93/1.73 % (1459019)------------------------------
% 6.93/1.73 % (1459019)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.93/1.73 % (1459019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.73 % (1459019)CaDiCaL version: 2.1.3
% 6.93/1.73 % (1459019)Termination reason: Instruction limit
% 6.93/1.73 % (1459019)Termination phase: Saturation
% 6.93/1.73 % (1459019)Time elapsed: 0.088 s
% 6.93/1.73 % (1459019)Peak memory usage: 12 MB
% 6.93/1.73 % (1459019)Instructions burned: 152 (million)
% 6.93/1.73 % (1459022)Instruction limit reached!
% 6.93/1.73 % (1459022)------------------------------
% 6.93/1.73 % (1459022)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.93/1.73 % (1459022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.73 % (1459022)CaDiCaL version: 2.1.3
% 6.93/1.73 % (1459022)Termination reason: Instruction limit
% 6.93/1.73 % (1459022)Termination phase: Saturation
% 6.93/1.73 % (1459022)Time elapsed: 0.062 s
% 6.93/1.73 % (1459022)Peak memory usage: 12 MB
% 6.93/1.73 % (1459022)Instructions burned: 75 (million)
% 6.93/1.73 % (1459026)Instruction limit reached!
% 6.93/1.73 % (1459026)------------------------------
% 6.93/1.73 % (1459026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.93/1.73 % (1459026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.73 % (1459026)CaDiCaL version: 2.1.3
% 6.93/1.73 % (1459026)Termination reason: Instruction limit
% 6.93/1.73 % (1459026)Termination phase: Saturation
% 6.93/1.73 % (1459026)Time elapsed: 0.067 s
% 6.93/1.73 % (1459026)Peak memory usage: 12 MB
% 6.93/1.73 % (1459026)Instructions burned: 150 (million)
% 6.93/1.73 % (1459009)Instruction limit reached!
% 6.93/1.73 % (1459009)------------------------------
% 6.93/1.73 % (1459009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.93/1.73 % (1459009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.73 % (1459009)CaDiCaL version: 2.1.3
% 6.93/1.73 % (1459009)Termination reason: Instruction limit
% 6.93/1.73 % (1459009)Termination phase: Saturation
% 6.93/1.73 % (1459009)Time elapsed: 0.146 s
% 6.93/1.73 % (1459009)Peak memory usage: 13 MB
% 6.93/1.73 % (1459009)Instructions burned: 281 (million)
% 6.93/1.73 % (1459029)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=3639451391:i=161:piset=and:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/161Mi)
% 6.93/1.73 % (1459031)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=1474896094:i=136:add=on:ins=4:rtra=on:sup=off_2989 on theBenchmark for (2989ds/136Mi)
% 7.32/1.94 % (1459032)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=2844011067:i=88:s2at=3:nm=2:rtra=on:rawr=on_2989 on theBenchmark for (2989ds/88Mi)
% 7.32/1.94 % (1459030)lrs+10_1_sil=128000:si=on:random_seed=2719035312:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/888Mi)
% 7.32/1.94 % (1459030)Refutation not found, incomplete strategy
% 7.32/1.94 % (1459030)------------------------------
% 7.32/1.94 % (1459030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.32/1.94 % (1459030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/1.94 % (1459030)CaDiCaL version: 2.1.3
% 7.32/1.94 % (1459030)Termination reason: Refutation not found, incomplete strategy
% 7.32/1.94 % (1459030)Time elapsed: 0.001 s
% 7.32/1.94 % (1459030)Peak memory usage: 11 MB
% 7.32/1.94 % (1459030)------------------------------
% 7.32/1.94 % (1459030)------------------------------
% 7.32/1.94 % (1459032)Instruction limit reached!
% 7.32/1.94 % (1459032)------------------------------
% 7.32/1.94 % (1459032)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.32/1.94 % (1459032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/1.94 % (1459032)CaDiCaL version: 2.1.3
% 7.32/1.94 % (1459032)Termination reason: Instruction limit
% 7.32/1.94 % (1459032)Termination phase: Saturation
% 7.32/1.94 % (1459032)Time elapsed: 0.039 s
% 7.32/1.94 % (1459032)Peak memory usage: 12 MB
% 7.32/1.94 % (1459032)Instructions burned: 89 (million)
% 7.32/1.94 % (1459037)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=1353277584:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2989 on theBenchmark for (2989ds/93Mi)
% 7.32/1.94 % (1459031)Instruction limit reached!
% 7.32/1.94 % (1459031)------------------------------
% 7.32/1.94 % (1459031)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.32/1.94 % (1459031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/1.94 % (1459031)CaDiCaL version: 2.1.3
% 7.32/1.94 % (1459031)Termination reason: Instruction limit
% 7.32/1.94 % (1459031)Termination phase: Saturation
% 7.32/1.94 % (1459031)Time elapsed: 0.062 s
% 7.32/1.94 % (1459031)Peak memory usage: 12 MB
% 7.32/1.94 % (1459031)Instructions burned: 136 (million)
% 7.32/1.94 % (1459038)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=4225271182:i=2186:rtra=on:ixr=off_2988 on theBenchmark for (2988ds/2186Mi)
% 7.32/1.94 % (1459040)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=615437100:s2a=on:i=240:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/240Mi)
% 7.32/1.94 % (1459011)Instruction limit reached!
% 7.32/1.94 % (1459011)------------------------------
% 7.32/1.94 % (1459011)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.32/1.94 % (1459011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/1.94 % (1459011)CaDiCaL version: 2.1.3
% 7.32/1.94 % (1459011)Termination reason: Instruction limit
% 7.32/1.94 % (1459011)Termination phase: Saturation
% 7.32/1.94 % (1459011)Time elapsed: 0.243 s
% 7.32/1.94 % (1459011)Peak memory usage: 15 MB
% 7.32/1.94 % (1459011)Instructions burned: 865 (million)
% 7.32/1.94 % (1459037)Instruction limit reached!
% 7.32/1.94 % (1459037)------------------------------
% 7.32/1.94 % (1459037)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.32/1.94 % (1459037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/1.94 % (1459037)CaDiCaL version: 2.1.3
% 7.32/1.94 % (1459037)Termination reason: Instruction limit
% 7.32/1.94 % (1459037)Termination phase: Saturation
% 7.32/1.94 % (1459037)Time elapsed: 0.045 s
% 7.32/1.94 % (1459037)Peak memory usage: 12 MB
% 7.32/1.94 % (1459037)Instructions burned: 93 (million)
% 7.32/1.94 % (1459043)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=3852102873:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2988 on theBenchmark for (2988ds/805Mi)
% 7.32/1.94 % (1459044)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 7.32/1.94 % (1459029)Instruction limit reached!
% 7.32/2.01 % (1459029)------------------------------
% 7.32/2.01 % (1459029)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.32/2.01 % (1459029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/2.01 % (1459029)CaDiCaL version: 2.1.3
% 7.32/2.01 % (1459029)Termination reason: Instruction limit
% 7.32/2.01 % (1459029)Termination phase: Saturation
% 7.32/2.01 % (1459029)Time elapsed: 0.113 s
% 7.32/2.01 % (1459029)Peak memory usage: 12 MB
% 7.32/2.01 % (1459029)Instructions burned: 161 (million)
% 7.32/2.01 % (1459044)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=2324842807:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2988 on theBenchmark for (2988ds/391Mi)
% 7.32/2.01 % (1459044)Refutation not found, incomplete strategy
% 7.32/2.01 % (1459044)------------------------------
% 7.32/2.01 % (1459044)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.32/2.01 % (1459044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/2.01 % (1459044)CaDiCaL version: 2.1.3
% 7.32/2.01 % (1459044)Termination reason: Refutation not found, incomplete strategy
% 7.32/2.01 % (1459044)Time elapsed: 0.001 s
% 7.32/2.01 % (1459044)Peak memory usage: 11 MB
% 7.32/2.01 % (1459044)Instructions burned: 2 (million)
% 7.32/2.01 % (1459044)------------------------------
% 7.32/2.01 % (1459044)------------------------------
% 7.32/2.01 % (1459046)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=1509590326:i=355:av=off:fsr=off:rtra=on:ixr=off_2988 on theBenchmark for (2988ds/355Mi)
% 7.32/2.01 % (1459048)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=9428098:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/314Mi)
% 7.32/2.01 % (1459048)Refutation not found, incomplete strategy
% 7.32/2.01 % (1459048)------------------------------
% 7.32/2.01 % (1459048)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.32/2.01 % (1459048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/2.01 % (1459048)CaDiCaL version: 2.1.3
% 7.32/2.01 % (1459048)Termination reason: Refutation not found, incomplete strategy
% 7.32/2.01 % (1459048)Time elapsed: 0.001 s
% 7.32/2.01 % (1459048)Peak memory usage: 11 MB
% 7.32/2.01 % (1459048)------------------------------
% 7.32/2.01 % (1459048)------------------------------
% 7.32/2.01 % (1459052)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=3075273342:s2a=on:i=251:fsr=off:rtra=on_2987 on theBenchmark for (2987ds/251Mi)
% 7.32/2.01 % (1459040)Instruction limit reached!
% 7.32/2.01 % (1459040)------------------------------
% 7.32/2.01 % (1459040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.32/2.01 % (1459040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/2.01 % (1459040)CaDiCaL version: 2.1.3
% 7.32/2.01 % (1459040)Termination reason: Instruction limit
% 7.32/2.01 % (1459040)Termination phase: Saturation
% 7.32/2.01 % (1459040)Time elapsed: 0.098 s
% 7.32/2.01 % (1459040)Peak memory usage: 12 MB
% 7.32/2.01 % (1459040)Instructions burned: 242 (million)
% 7.32/2.01 % (1459054)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=3199577342: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_2987 on theBenchmark for (2987ds/2470Mi)
% 7.32/2.01 % (1459043)Instruction limit reached!
% 7.32/2.01 % (1459043)------------------------------
% 7.32/2.01 % (1459043)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.32/2.01 % (1459043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/2.01 % (1459043)CaDiCaL version: 2.1.3
% 7.32/2.01 % (1459043)Termination reason: Instruction limit
% 7.32/2.01 % (1459043)Termination phase: Saturation
% 7.32/2.01 % (1459043)Time elapsed: 0.168 s
% 7.32/2.01 % (1459043)Peak memory usage: 13 MB
% 7.32/2.01 % (1459043)Instructions burned: 807 (million)
% 7.32/2.01 % (1459056)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=1199133287:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2986 on theBenchmark for (2986ds/673Mi)
% 7.32/2.01 % (1459052)Instruction limit reached!
% 7.32/2.01 % (1459052)------------------------------
% 11.66/2.15 % (1459052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.66/2.15 % (1459052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.66/2.15 % (1459052)CaDiCaL version: 2.1.3
% 11.66/2.15 % (1459052)Termination reason: Instruction limit
% 11.66/2.15 % (1459052)Termination phase: Saturation
% 11.66/2.15 % (1459052)Time elapsed: 0.224 s
% 11.66/2.15 % (1459052)Peak memory usage: 12 MB
% 11.66/2.15 % (1459052)Instructions burned: 253 (million)
% 11.66/2.15 % (1459046)Instruction limit reached!
% 11.66/2.15 % (1459046)------------------------------
% 11.66/2.15 % (1459046)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.66/2.15 % (1459046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.66/2.15 % (1459046)CaDiCaL version: 2.1.3
% 11.66/2.15 % (1459046)Termination reason: Instruction limit
% 11.66/2.15 % (1459046)Termination phase: Saturation
% 11.66/2.15 % (1459046)Time elapsed: 0.296 s
% 11.66/2.15 % (1459046)Peak memory usage: 12 MB
% 11.66/2.15 % (1459046)Instructions burned: 357 (million)
% 11.66/2.15 % (1459058)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=1101694400:i=116:ep=RSTC:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/116Mi)
% 11.66/2.15 % (1459059)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3855358788:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2984 on theBenchmark for (2984ds/270Mi)
% 11.66/2.15 % (1459058)Instruction limit reached!
% 11.66/2.15 % (1459058)------------------------------
% 11.66/2.15 % (1459058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.66/2.15 % (1459058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.66/2.15 % (1459058)CaDiCaL version: 2.1.3
% 11.66/2.15 % (1459058)Termination reason: Instruction limit
% 11.66/2.15 % (1459058)Termination phase: Saturation
% 11.66/2.15 % (1459058)Time elapsed: 0.099 s
% 11.66/2.15 % (1459058)Peak memory usage: 12 MB
% 11.66/2.15 % (1459058)Instructions burned: 117 (million)
% 11.66/2.15 % (1459056)Instruction limit reached!
% 11.66/2.15 % (1459056)------------------------------
% 11.66/2.15 % (1459056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.66/2.15 % (1459056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.66/2.15 % (1459056)CaDiCaL version: 2.1.3
% 11.66/2.15 % (1459056)Termination reason: Instruction limit
% 11.66/2.15 % (1459056)Termination phase: Saturation
% 11.66/2.15 % (1459056)Time elapsed: 0.294 s
% 11.66/2.15 % (1459056)Peak memory usage: 12 MB
% 11.66/2.15 % (1459056)Instructions burned: 674 (million)
% 11.66/2.15 % (1459059)Instruction limit reached!
% 11.66/2.15 % (1459059)------------------------------
% 11.66/2.15 % (1459059)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.66/2.15 % (1459059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.66/2.15 % (1459059)CaDiCaL version: 2.1.3
% 11.66/2.15 % (1459059)Termination reason: Instruction limit
% 11.66/2.15 % (1459059)Termination phase: Saturation
% 11.66/2.15 % (1459059)Time elapsed: 0.124 s
% 11.66/2.15 % (1459059)Peak memory usage: 12 MB
% 11.66/2.15 % (1459059)Instructions burned: 270 (million)
% 11.66/2.15 % (1459062)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=30980088:hsq=on:hsqr=16,1:s2a=on:i=30:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2983 on theBenchmark for (2983ds/30Mi)
% 11.66/2.15 % (1459063)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 11.66/2.15 % (1459063)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=3284832977:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2983 on theBenchmark for (2983ds/39Mi)
% 11.66/2.15 % (1459064)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=651043894:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2983 on theBenchmark for (2983ds/365Mi)
% 11.66/2.15 % (1459062)Instruction limit reached!
% 11.66/2.15 % (1459062)------------------------------
% 11.66/2.15 % (1459062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.66/2.15 % (1459062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.66/2.15 % (1459062)CaDiCaL version: 2.1.3
% 11.66/2.15 % (1459062)Termination reason: Instruction limit
% 11.89/2.30 % (1459062)Termination phase: Saturation
% 11.89/2.30 % (1459062)Time elapsed: 0.023 s
% 11.89/2.30 % (1459062)Peak memory usage: 12 MB
% 11.89/2.30 % (1459062)Instructions burned: 30 (million)
% 11.89/2.30 % (1458994)Instruction limit reached!
% 11.89/2.30 % (1458994)------------------------------
% 11.89/2.30 % (1458994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.89/2.30 % (1458994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.89/2.30 % (1458994)CaDiCaL version: 2.1.3
% 11.89/2.30 % (1458994)Termination reason: Instruction limit
% 11.89/2.30 % (1458994)Termination phase: Saturation
% 11.89/2.30 % (1458994)Time elapsed: 0.854 s
% 11.89/2.30 % (1458994)Peak memory usage: 13 MB
% 11.89/2.30 % (1458994)Instructions burned: 1441 (million)
% 11.89/2.30 % (1459063)Instruction limit reached!
% 11.89/2.30 % (1459063)------------------------------
% 11.89/2.30 % (1459063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.89/2.30 % (1459063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.89/2.30 % (1459063)CaDiCaL version: 2.1.3
% 11.89/2.30 % (1459063)Termination reason: Instruction limit
% 11.89/2.30 % (1459063)Termination phase: Saturation
% 11.89/2.30 % (1459063)Time elapsed: 0.034 s
% 11.89/2.30 % (1459063)Peak memory usage: 12 MB
% 11.89/2.30 % (1459063)Instructions burned: 40 (million)
% 11.89/2.30 % (1459038)Instruction limit reached!
% 11.89/2.30 % (1459038)------------------------------
% 11.89/2.30 % (1459038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.89/2.30 % (1459038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.89/2.30 % (1459038)CaDiCaL version: 2.1.3
% 11.89/2.30 % (1459038)Termination reason: Instruction limit
% 11.89/2.30 % (1459038)Termination phase: Saturation
% 11.89/2.30 % (1459038)Time elapsed: 0.570 s
% 11.89/2.30 % (1459038)Peak memory usage: 12 MB
% 11.89/2.30 % (1459038)Instructions burned: 2187 (million)
% 11.89/2.30 % (1459070)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=3545491377:i=213:rtra=on:ss=axioms_2982 on theBenchmark for (2982ds/213Mi)
% 11.89/2.30 % (1459070)Refutation not found, incomplete strategy
% 11.89/2.30 % (1459070)------------------------------
% 11.89/2.30 % (1459070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.89/2.30 % (1459070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.89/2.30 % (1459070)CaDiCaL version: 2.1.3
% 11.89/2.30 % (1459070)Termination reason: Refutation not found, incomplete strategy
% 11.89/2.30 % (1459070)Time elapsed: 0.0000 s
% 11.89/2.30 % (1459070)Peak memory usage: 11 MB
% 11.89/2.30 % (1459069)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
% 11.89/2.30 % (1459070)------------------------------
% 11.89/2.30 % (1459070)------------------------------
% 11.89/2.30 % (1459069)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=1208270567:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/252Mi)
% 11.89/2.30 % (1459068)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1220370122:i=158:av=off:rtra=on_2983 on theBenchmark for (2983ds/158Mi)
% 11.89/2.30 % (1459071)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=3967972585:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2982 on theBenchmark for (2982ds/160Mi)
% 11.89/2.30 % (1459071)Refutation not found, incomplete strategy
% 11.89/2.30 % (1459071)------------------------------
% 11.89/2.30 % (1459071)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.89/2.30 % (1459071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.89/2.30 % (1459071)CaDiCaL version: 2.1.3
% 11.89/2.30 % (1459071)Termination reason: Refutation not found, incomplete strategy
% 11.89/2.30 % (1459071)Time elapsed: 0.0000 s
% 11.89/2.30 % (1459071)Peak memory usage: 11 MB
% 11.89/2.30 % (1459071)Instructions burned: 1 (million)
% 11.89/2.30 % (1459071)------------------------------
% 11.89/2.30 % (1459071)------------------------------
% 11.89/2.30 % (1459073)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=4029384236:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/763Mi)
% 11.89/2.30 % (1459077)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 12.78/2.35 % (1459077)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=2054851656:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2982 on theBenchmark for (2982ds/237Mi)
% 12.78/2.35 % (1459077)Refutation not found, incomplete strategy
% 12.78/2.35 % (1459077)------------------------------
% 12.78/2.35 % (1459077)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.78/2.35 % (1459077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.78/2.35 % (1459077)CaDiCaL version: 2.1.3
% 12.78/2.35 % (1459077)Termination reason: Refutation not found, incomplete strategy
% 12.78/2.35 % (1459077)Time elapsed: 0.001 s
% 12.78/2.35 % (1459077)Peak memory usage: 11 MB
% 12.78/2.35 % (1459077)------------------------------
% 12.78/2.35 % (1459077)------------------------------
% 12.78/2.35 % (1459080)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=1349726370:s2a=on:i=386:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/386Mi)
% 12.78/2.35 % (1459068)Instruction limit reached!
% 12.78/2.35 % (1459068)------------------------------
% 12.78/2.35 % (1459068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.78/2.35 % (1459068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.78/2.35 % (1459068)CaDiCaL version: 2.1.3
% 12.78/2.35 % (1459068)Termination reason: Instruction limit
% 12.78/2.35 % (1459068)Termination phase: Saturation
% 12.78/2.35 % (1459068)Time elapsed: 0.130 s
% 12.78/2.35 % (1459068)Peak memory usage: 11 MB
% 12.78/2.35 % (1459068)Instructions burned: 158 (million)
% 12.78/2.35 % (1459064)Instruction limit reached!
% 12.78/2.35 % (1459064)------------------------------
% 12.78/2.35 % (1459064)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.78/2.35 % (1459064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.78/2.35 % (1459064)CaDiCaL version: 2.1.3
% 12.78/2.35 % (1459064)Termination reason: Instruction limit
% 12.78/2.35 % (1459064)Termination phase: Saturation
% 12.78/2.35 % (1459064)Time elapsed: 0.197 s
% 12.78/2.35 % (1459064)Peak memory usage: 13 MB
% 12.78/2.35 % (1459064)Instructions burned: 365 (million)
% 12.78/2.35 % (1459073)Instruction limit reached!
% 12.78/2.35 % (1459073)------------------------------
% 12.78/2.35 % (1459073)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.78/2.35 % (1459073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.78/2.35 % (1459073)CaDiCaL version: 2.1.3
% 12.78/2.35 % (1459073)Termination reason: Instruction limit
% 12.78/2.35 % (1459073)Termination phase: Saturation
% 12.78/2.35 % (1459073)Time elapsed: 0.131 s
% 12.78/2.35 % (1459073)Peak memory usage: 14 MB
% 12.78/2.35 % (1459073)Instructions burned: 767 (million)
% 12.78/2.35 % (1459084)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=173301464:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2981 on theBenchmark for (2981ds/379Mi)
% 12.78/2.35 % (1459084)Refutation not found, incomplete strategy
% 12.78/2.35 % (1459084)------------------------------
% 12.78/2.35 % (1459084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.78/2.35 % (1459084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.78/2.35 % (1459084)CaDiCaL version: 2.1.3
% 12.78/2.35 % (1459084)Termination reason: Refutation not found, incomplete strategy
% 12.78/2.35 % (1459084)Time elapsed: 0.001 s
% 12.78/2.35 % (1459084)Peak memory usage: 11 MB
% 12.78/2.35 % (1459082)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=2058077862:i=300:piset=and:nm=32:rtra=on_2981 on theBenchmark for (2981ds/300Mi)
% 12.78/2.35 % (1459084)------------------------------
% 12.78/2.35 % (1459084)------------------------------
% 12.78/2.35 % (1459083)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=880308356:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2981 on theBenchmark for (2981ds/567Mi)
% 12.78/2.35 % (1459083)Refutation not found, incomplete strategy
% 12.78/2.35 % (1459083)------------------------------
% 12.78/2.35 % (1459083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.78/2.35 % (1459083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.78/2.35 % (1459083)CaDiCaL version: 2.1.3
% 12.78/2.35 % (1459083)Termination reason: Refutation not found, incomplete strategy
% 13.41/2.52 % (1459083)Time elapsed: 0.002 s
% 13.41/2.52 % (1459083)Peak memory usage: 11 MB
% 13.41/2.52 % (1459083)Instructions burned: 2 (million)
% 13.41/2.52 % (1459083)------------------------------
% 13.41/2.52 % (1459083)------------------------------
% 13.41/2.52 % (1459088)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=821216005:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2981 on theBenchmark for (2981ds/429Mi)
% 13.41/2.52 % (1459069)Instruction limit reached!
% 13.41/2.52 % (1459069)------------------------------
% 13.41/2.52 % (1459069)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.41/2.52 % (1459069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.41/2.52 % (1459069)CaDiCaL version: 2.1.3
% 13.41/2.52 % (1459069)Termination reason: Instruction limit
% 13.41/2.52 % (1459069)Termination phase: Saturation
% 13.41/2.52 % (1459069)Time elapsed: 0.199 s
% 13.41/2.52 % (1459069)Peak memory usage: 12 MB
% 13.41/2.52 % (1459069)Instructions burned: 253 (million)
% 13.41/2.52 % (1459089)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=1643332334:i=478:bd=all:rtra=on_2980 on theBenchmark for (2980ds/478Mi)
% 13.41/2.52 % (1459089)Refutation not found, incomplete strategy
% 13.41/2.52 % (1459089)------------------------------
% 13.41/2.52 % (1459089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.41/2.52 % (1459089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.41/2.52 % (1459089)CaDiCaL version: 2.1.3
% 13.41/2.52 % (1459089)Termination reason: Refutation not found, incomplete strategy
% 13.41/2.52 % (1459089)Time elapsed: 0.002 s
% 13.41/2.52 % (1459089)Peak memory usage: 12 MB
% 13.41/2.52 % (1459089)Instructions burned: 1 (million)
% 13.41/2.52 % (1459089)------------------------------
% 13.41/2.52 % (1459089)------------------------------
% 13.41/2.52 % (1459091)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=366316281:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2980 on theBenchmark for (2980ds/445Mi)
% 13.41/2.52 % (1459093)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=3438547785:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2980 on theBenchmark for (2980ds/71Mi)
% 13.41/2.52 % (1459093)Instruction limit reached!
% 13.41/2.52 % (1459093)------------------------------
% 13.41/2.52 % (1459093)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.41/2.52 % (1459080)Instruction limit reached!
% 13.41/2.52 % (1459080)------------------------------
% 13.41/2.52 % (1459080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.41/2.52 % (1459080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.41/2.52 % (1459093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.41/2.52 % (1459080)CaDiCaL version: 2.1.3
% 13.41/2.52 % (1459093)CaDiCaL version: 2.1.3
% 13.41/2.52 % (1459080)Termination reason: Instruction limit
% 13.41/2.52 % (1459080)Termination phase: Saturation
% 13.41/2.52 % (1459093)Termination reason: Instruction limit
% 13.41/2.52 % (1459093)Termination phase: Saturation
% 13.41/2.52 % (1459080)Time elapsed: 0.233 s
% 13.41/2.52 % (1459093)Time elapsed: 0.057 s
% 13.41/2.52 % (1459080)Peak memory usage: 12 MB
% 13.41/2.52 % (1459093)Peak memory usage: 12 MB
% 13.41/2.52 % (1459080)Instructions burned: 386 (million)
% 13.41/2.52 % (1459093)Instructions burned: 72 (million)
% 13.41/2.52 % (1459088)Instruction limit reached!
% 13.41/2.52 % (1459088)------------------------------
% 13.41/2.52 % (1459088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.41/2.52 % (1459088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.41/2.52 % (1459088)CaDiCaL version: 2.1.3
% 13.41/2.52 % (1459088)Termination reason: Instruction limit
% 13.41/2.52 % (1459088)Termination phase: Saturation
% 13.41/2.52 % (1459088)Time elapsed: 0.123 s
% 13.41/2.52 % (1459088)Peak memory usage: 12 MB
% 13.41/2.52 % (1459088)Instructions burned: 433 (million)
% 13.41/2.52 % (1459098)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
% 13.41/2.52 % (1459098)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 13.41/2.52 % (1459082)Instruction limit reached!
% 13.41/2.52 % (1459082)------------------------------
% 13.41/2.57 % (1459082)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.41/2.57 % (1459082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.41/2.57 % (1459082)CaDiCaL version: 2.1.3
% 13.41/2.57 % (1459082)Termination reason: Instruction limit
% 13.41/2.57 % (1459082)Termination phase: Saturation
% 13.41/2.57 % (1459082)Time elapsed: 0.152 s
% 13.41/2.57 % (1459082)Peak memory usage: 12 MB
% 13.41/2.57 % (1459082)Instructions burned: 301 (million)
% 13.41/2.57 % (1459098)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1448965163:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2979 on theBenchmark for (2979ds/100Mi)
% 13.41/2.57 % (1459100)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=3278049189:i=76:piset=equals:rtra=on:ntd=on_2979 on theBenchmark for (2979ds/76Mi)
% 13.41/2.57 % (1459096)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2348862674:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2979 on theBenchmark for (2979ds/302Mi)
% 13.41/2.57 % (1459096)Refutation not found, incomplete strategy
% 13.41/2.57 % (1459096)------------------------------
% 13.41/2.57 % (1459096)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.41/2.57 % (1459096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.41/2.57 % (1459096)CaDiCaL version: 2.1.3
% 13.41/2.57 % (1459096)Termination reason: Refutation not found, incomplete strategy
% 13.41/2.57 % (1459096)Time elapsed: 0.001 s
% 13.41/2.57 % (1459096)Peak memory usage: 11 MB
% 13.41/2.57 % (1459096)------------------------------
% 13.41/2.57 % (1459096)------------------------------
% 13.41/2.57 % (1459097)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=4188673517:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2979 on theBenchmark for (2979ds/4980Mi)
% 13.41/2.57 % (1459098)Instruction limit reached!
% 13.41/2.57 % (1459098)------------------------------
% 13.41/2.57 % (1459098)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.41/2.57 % (1459098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.41/2.57 % (1459098)CaDiCaL version: 2.1.3
% 13.41/2.57 % (1459097)Refutation not found, incomplete strategy
% 13.41/2.57 % (1459097)------------------------------
% 13.41/2.57 % (1459097)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.41/2.57 % (1459098)Termination reason: Instruction limit
% 13.41/2.57 % (1459098)Termination phase: Saturation
% 13.41/2.57 % (1459098)Time elapsed: 0.023 s
% 13.41/2.57 % (1459097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.41/2.57 % (1459098)Peak memory usage: 12 MB
% 13.41/2.57 % (1459098)Instructions burned: 102 (million)
% 13.41/2.57 % (1459097)CaDiCaL version: 2.1.3
% 13.41/2.57 % (1459097)Termination reason: Refutation not found, incomplete strategy
% 13.41/2.57 % (1459097)Time elapsed: 0.0000 s
% 13.41/2.57 % (1459097)Peak memory usage: 11 MB
% 13.41/2.57 % (1459097)------------------------------
% 13.41/2.57 % (1459097)------------------------------
% 13.41/2.57 % (1459106)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=2890018120:cond=on:i=34:hud=10:nm=10:rtra=on_2979 on theBenchmark for (2979ds/34Mi)
% 13.41/2.57 % (1459105)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=2561962844:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2979 on theBenchmark for (2979ds/493Mi)
% 13.41/2.57 % (1459104)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=952037931:i=289:rtra=on_2979 on theBenchmark for (2979ds/289Mi)
% 13.41/2.57 % (1459104)Refutation not found, incomplete strategy
% 13.41/2.57 % (1459104)------------------------------
% 13.41/2.57 % (1459104)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.41/2.57 % (1459104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.41/2.57 % (1459104)CaDiCaL version: 2.1.3
% 13.41/2.57 % (1459104)Termination reason: Refutation not found, incomplete strategy
% 13.41/2.57 % (1459104)Time elapsed: 0.0000 s
% 13.41/2.57 % (1459104)Peak memory usage: 11 MB
% 13.41/2.57 % (1459104)Instructions burned: 1 (million)
% 13.41/2.57 % (1459104)------------------------------
% 13.41/2.57 % (1459104)------------------------------
% 14.42/2.66 % (1459100)Instruction limit reached!
% 14.42/2.66 % (1459100)------------------------------
% 14.42/2.66 % (1459100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.42/2.66 % (1459100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.42/2.66 % (1459100)CaDiCaL version: 2.1.3
% 14.42/2.66 % (1459100)Termination reason: Instruction limit
% 14.42/2.66 % (1459100)Termination phase: Saturation
% 14.42/2.66 % (1459100)Time elapsed: 0.037 s
% 14.42/2.66 % (1459100)Peak memory usage: 12 MB
% 14.42/2.66 % (1459100)Instructions burned: 77 (million)
% 14.42/2.66 % (1459110)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 14.42/2.66 % (1459110)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=1640961456:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2979 on theBenchmark for (2979ds/372Mi)
% 14.42/2.66 % (1459110)Refutation not found, incomplete strategy
% 14.42/2.66 % (1459110)------------------------------
% 14.42/2.66 % (1459110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.42/2.66 % (1459110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.42/2.66 % (1459110)CaDiCaL version: 2.1.3
% 14.42/2.66 % (1459110)Termination reason: Refutation not found, incomplete strategy
% 14.42/2.66 % (1459110)Time elapsed: 0.002 s
% 14.42/2.66 % (1459110)Peak memory usage: 12 MB
% 14.42/2.66 % (1459110)Instructions burned: 3 (million)
% 14.42/2.66 % (1459106)Instruction limit reached!
% 14.42/2.66 % (1459106)------------------------------
% 14.42/2.66 % (1459106)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.42/2.66 % (1459106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.42/2.66 % (1459106)CaDiCaL version: 2.1.3
% 14.42/2.66 % (1459106)Termination reason: Instruction limit
% 14.42/2.66 % (1459106)Termination phase: Saturation
% 14.42/2.66 % (1459106)Time elapsed: 0.025 s
% 14.42/2.66 % (1459106)Peak memory usage: 12 MB
% 14.42/2.66 % (1459106)Instructions burned: 35 (million)
% 14.42/2.66 % (1459110)------------------------------
% 14.42/2.66 % (1459110)------------------------------
% 14.42/2.66 % (1459111)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=2752072749:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2978 on theBenchmark for (2978ds/670Mi)
% 14.42/2.66 % (1459113)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3292822851:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2978 on theBenchmark for (2978ds/647Mi)
% 14.42/2.66 % (1459113)Refutation not found, incomplete strategy
% 14.42/2.66 % (1459113)------------------------------
% 14.42/2.66 % (1459113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.42/2.66 % (1459113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.42/2.66 % (1459113)CaDiCaL version: 2.1.3
% 14.42/2.66 % (1459113)Termination reason: Refutation not found, incomplete strategy
% 14.42/2.66 % (1459113)Time elapsed: 0.0000 s
% 14.42/2.66 % (1459113)Peak memory usage: 12 MB
% 14.42/2.66 % (1459113)------------------------------
% 14.42/2.66 % (1459113)------------------------------
% 14.42/2.66 % (1459114)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=2378819523:i=857:add=off:kws=frequency:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/857Mi)
% 14.42/2.66 % (1459117)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=886923848:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2978 on theBenchmark for (2978ds/693Mi)
% 14.42/2.66 % (1459091)Instruction limit reached!
% 14.42/2.66 % (1459091)------------------------------
% 14.42/2.66 % (1459091)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.42/2.66 % (1459091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.42/2.66 % (1459091)CaDiCaL version: 2.1.3
% 14.42/2.66 % (1459091)Termination reason: Instruction limit
% 14.42/2.66 % (1459091)Termination phase: Saturation
% 14.42/2.66 % (1459091)Time elapsed: 0.287 s
% 14.42/2.66 % (1459091)Peak memory usage: 14 MB
% 14.42/2.66 % (1459091)Instructions burned: 445 (million)
% 14.42/2.66 % (1459120)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=1726753561:i=285:hud=10:bd=all:rtra=on:ss=axioms_2977 on theBenchmark for (2977ds/285Mi)
% 15.16/2.81 % (1459120)Refutation not found, incomplete strategy
% 15.16/2.81 % (1459120)------------------------------
% 15.16/2.81 % (1459120)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.16/2.81 % (1459120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.16/2.81 % (1459120)CaDiCaL version: 2.1.3
% 15.16/2.81 % (1459120)Termination reason: Refutation not found, incomplete strategy
% 15.16/2.81 % (1459120)Time elapsed: 0.001 s
% 15.16/2.81 % (1459120)Peak memory usage: 11 MB
% 15.16/2.81 % (1459120)Instructions burned: 1 (million)
% 15.16/2.81 % (1459120)------------------------------
% 15.16/2.81 % (1459120)------------------------------
% 15.16/2.81 % (1459117)Instruction limit reached!
% 15.16/2.81 % (1459117)------------------------------
% 15.16/2.81 % (1459117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.16/2.81 % (1459117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.16/2.81 % (1459117)CaDiCaL version: 2.1.3
% 15.16/2.81 % (1459117)Termination reason: Instruction limit
% 15.16/2.81 % (1459117)Termination phase: Saturation
% 15.16/2.81 % (1459117)Time elapsed: 0.137 s
% 15.16/2.81 % (1459117)Peak memory usage: 12 MB
% 15.16/2.81 % (1459117)Instructions burned: 695 (million)
% 15.16/2.81 % (1459123)dis+10_1_si=on:random_seed=1060033353:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2977 on theBenchmark for (2977ds/407Mi)
% 15.16/2.81 % (1459123)Refutation not found, incomplete strategy
% 15.16/2.81 % (1459123)------------------------------
% 15.16/2.81 % (1459123)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.16/2.81 % (1459123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.16/2.81 % (1459123)CaDiCaL version: 2.1.3
% 15.16/2.81 % (1459123)Termination reason: Refutation not found, incomplete strategy
% 15.16/2.81 % (1459123)Time elapsed: 0.0000 s
% 15.16/2.81 % (1459123)Peak memory usage: 11 MB
% 15.16/2.81 % (1459122)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 15.16/2.81 % (1459123)------------------------------
% 15.16/2.81 % (1459123)------------------------------
% 15.16/2.81 % (1459122)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=2491567749:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2977 on theBenchmark for (2977ds/52Mi)
% 15.16/2.81 % (1459125)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=2845382853:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/2240Mi)
% 15.16/2.81 % (1459105)Instruction limit reached!
% 15.16/2.81 % (1459105)------------------------------
% 15.16/2.81 % (1459105)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.16/2.81 % (1459105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.16/2.81 % (1459105)CaDiCaL version: 2.1.3
% 15.16/2.81 % (1459105)Termination reason: Instruction limit
% 15.16/2.81 % (1459105)Termination phase: Saturation
% 15.16/2.81 % (1459105)Time elapsed: 0.210 s
% 15.16/2.81 % (1459105)Peak memory usage: 13 MB
% 15.16/2.81 % (1459105)Instructions burned: 495 (million)
% 15.16/2.81 % (1459122)Instruction limit reached!
% 15.16/2.81 % (1459122)------------------------------
% 15.16/2.81 % (1459122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.16/2.81 % (1459122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.16/2.81 % (1459122)CaDiCaL version: 2.1.3
% 15.16/2.81 % (1459122)Termination reason: Instruction limit
% 15.16/2.81 % (1459122)Termination phase: Saturation
% 15.16/2.81 % (1459122)Time elapsed: 0.020 s
% 15.16/2.81 % (1459122)Peak memory usage: 12 MB
% 15.16/2.81 % (1459122)Instructions burned: 53 (million)
% 15.16/2.81 % (1459128)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=4233443937:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2976 on theBenchmark for (2976ds/336Mi)
% 15.16/2.81 % (1459128)Refutation not found, incomplete strategy
% 15.16/2.81 % (1459128)------------------------------
% 15.16/2.81 % (1459128)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.16/2.81 % (1459128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.16/2.81 % (1459128)CaDiCaL version: 2.1.3
% 15.16/2.81 % (1459128)Termination reason: Refutation not found, incomplete strategy
% 18.53/3.15 % (1459128)Time elapsed: 0.001 s
% 18.53/3.15 % (1459128)Peak memory usage: 11 MB
% 18.53/3.15 % (1459128)------------------------------
% 18.53/3.15 % (1459128)------------------------------
% 18.53/3.15 % (1459129)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=4116717390:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2976 on theBenchmark for (2976ds/1142Mi)
% 18.53/3.15 % (1459131)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=3740920188:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2976 on theBenchmark for (2976ds/376Mi)
% 18.53/3.15 % (1459131)Refutation not found, incomplete strategy
% 18.53/3.15 % (1459131)------------------------------
% 18.53/3.15 % (1459131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.53/3.15 % (1459131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.53/3.15 % (1459131)CaDiCaL version: 2.1.3
% 18.53/3.15 % (1459131)Termination reason: Refutation not found, incomplete strategy
% 18.53/3.15 % (1459131)Time elapsed: 0.001 s
% 18.53/3.15 % (1459131)Peak memory usage: 11 MB
% 18.53/3.15 % (1459131)------------------------------
% 18.53/3.15 % (1459131)------------------------------
% 18.53/3.15 % (1459134)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=3760431819:i=766:bd=all:rtra=on_2976 on theBenchmark for (2976ds/766Mi)
% 18.53/3.15 % (1459134)Refutation not found, incomplete strategy
% 18.53/3.15 % (1459134)------------------------------
% 18.53/3.15 % (1459134)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.53/3.15 % (1459134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.53/3.15 % (1459134)CaDiCaL version: 2.1.3
% 18.53/3.15 % (1459134)Termination reason: Refutation not found, incomplete strategy
% 18.53/3.15 % (1459134)Time elapsed: 0.001 s
% 18.53/3.15 % (1459134)Peak memory usage: 12 MB
% 18.53/3.15 % (1459134)Instructions burned: 1 (million)
% 18.53/3.15 % (1459134)------------------------------
% 18.53/3.15 % (1459134)------------------------------
% 18.53/3.15 % (1459111)Instruction limit reached!
% 18.53/3.15 % (1459111)------------------------------
% 18.53/3.15 % (1459111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.53/3.15 % (1459111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.53/3.15 % (1459111)CaDiCaL version: 2.1.3
% 18.53/3.15 % (1459111)Termination reason: Instruction limit
% 18.53/3.15 % (1459111)Termination phase: Saturation
% 18.53/3.15 % (1459111)Time elapsed: 0.246 s
% 18.53/3.15 % (1459111)Peak memory usage: 12 MB
% 18.53/3.15 % (1459111)Instructions burned: 672 (million)
% 18.53/3.15 % (1459136)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 18.53/3.15 % (1459136)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=2638189509: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_2976 on theBenchmark for (2976ds/959Mi)
% 18.53/3.15 % (1459136)Refutation not found, incomplete strategy
% 18.53/3.15 % (1459136)------------------------------
% 18.53/3.15 % (1459136)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.53/3.15 % (1459136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.53/3.15 % (1459136)CaDiCaL version: 2.1.3
% 18.53/3.15 % (1459136)Termination reason: Refutation not found, incomplete strategy
% 18.53/3.15 % (1459136)Time elapsed: 0.001 s
% 18.53/3.15 % (1459136)Peak memory usage: 11 MB
% 18.53/3.15 % (1459136)------------------------------
% 18.53/3.15 % (1459136)------------------------------
% 18.53/3.15 % (1459137)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=1840750318:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2976 on theBenchmark for (2976ds/6359Mi)
% 18.53/3.15 % (1459139)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1966250304:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2976 on theBenchmark for (2976ds/35Mi)
% 18.53/3.15 % (1459139)Refutation not found, incomplete strategy
% 18.53/3.15 % (1459139)------------------------------
% 18.53/3.15 % (1459139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.53/3.15 % (1459139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.53/3.15 % (1459139)CaDiCaL version: 2.1.3
% 18.96/3.21 % (1459139)Termination reason: Refutation not found, incomplete strategy
% 18.96/3.21 % (1459139)Time elapsed: 0.001 s
% 18.96/3.21 % (1459139)Peak memory usage: 11 MB
% 18.96/3.21 % (1459139)------------------------------
% 18.96/3.21 % (1459139)------------------------------
% 18.96/3.21 % (1459142)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=3453577835:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2975 on theBenchmark for (2975ds/53Mi)
% 18.96/3.21 % (1459054)Instruction limit reached!
% 18.96/3.21 % (1459054)------------------------------
% 18.96/3.21 % (1459054)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.96/3.21 % (1459054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.96/3.21 % (1459054)CaDiCaL version: 2.1.3
% 18.96/3.21 % (1459054)Termination reason: Instruction limit
% 18.96/3.21 % (1459054)Termination phase: Saturation
% 18.96/3.21 % (1459054)Time elapsed: 1.155 s
% 18.96/3.21 % (1459054)Peak memory usage: 16 MB
% 18.96/3.21 % (1459054)Instructions burned: 2472 (million)
% 18.96/3.21 % (1459144)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=2957863878:s2a=on:i=876:s2at=6:nm=2:rtra=on_2975 on theBenchmark for (2975ds/876Mi)
% 18.96/3.21 % (1459142)Instruction limit reached!
% 18.96/3.21 % (1459142)------------------------------
% 18.96/3.21 % (1459142)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.96/3.21 % (1459142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.96/3.21 % (1459142)CaDiCaL version: 2.1.3
% 18.96/3.21 % (1459142)Termination reason: Instruction limit
% 18.96/3.21 % (1459142)Termination phase: Saturation
% 18.96/3.21 % (1459142)Time elapsed: 0.029 s
% 18.96/3.21 % (1459142)Peak memory usage: 12 MB
% 18.96/3.21 % (1459142)Instructions burned: 54 (million)
% 18.96/3.21 % (1459146)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2228583550:i=57:ep=R:rtra=on:ntd=on_2975 on theBenchmark for (2975ds/57Mi)
% 18.96/3.21 % (1459146)Instruction limit reached!
% 18.96/3.21 % (1459146)------------------------------
% 18.96/3.21 % (1459146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.96/3.21 % (1459146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.96/3.21 % (1459146)CaDiCaL version: 2.1.3
% 18.96/3.21 % (1459146)Termination reason: Instruction limit
% 18.96/3.21 % (1459146)Termination phase: Saturation
% 18.96/3.21 % (1459146)Time elapsed: 0.028 s
% 18.96/3.21 % (1459146)Peak memory usage: 12 MB
% 18.96/3.21 % (1459146)Instructions burned: 58 (million)
% 18.96/3.21 % (1459148)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 18.96/3.21 % (1459148)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=41219479:i=306:bd=all:rtra=on_2974 on theBenchmark for (2974ds/306Mi)
% 18.96/3.21 % (1459148)Refutation not found, incomplete strategy
% 18.96/3.21 % (1459148)------------------------------
% 18.96/3.21 % (1459148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.96/3.21 % (1459148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.96/3.21 % (1459148)CaDiCaL version: 2.1.3
% 18.96/3.21 % (1459148)Termination reason: Refutation not found, incomplete strategy
% 18.96/3.21 % (1459148)Time elapsed: 0.001 s
% 18.96/3.21 % (1459148)Peak memory usage: 11 MB
% 18.96/3.21 % (1459148)Instructions burned: 1 (million)
% 18.96/3.21 % (1459148)------------------------------
% 18.96/3.21 % (1459148)------------------------------
% 18.96/3.21 % (1459150)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=3482394957:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2974 on theBenchmark for (2974ds/262Mi)
% 18.96/3.21 % (1459150)Refutation not found, incomplete strategy
% 18.96/3.21 % (1459150)------------------------------
% 18.96/3.21 % (1459150)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.96/3.21 % (1459150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.96/3.21 % (1459150)CaDiCaL version: 2.1.3
% 18.96/3.21 % (1459150)Termination reason: Refutation not found, incomplete strategy
% 18.96/3.21 % (1459150)Time elapsed: 0.001 s
% 18.96/3.21 % (1459150)Peak memory usage: 11 MB
% 18.96/3.21 % (1459150)------------------------------
% 18.96/3.21 % (1459150)------------------------------
% 18.96/3.21 % (1459152)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 18.96/3.29 % (1459152)ott+1002_16_sil=128000:si=on:random_seed=1333668325:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2974 on theBenchmark for (2974ds/409Mi)
% 18.96/3.29 % (1459114)Instruction limit reached!
% 18.96/3.29 % (1459114)------------------------------
% 18.96/3.29 % (1459114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.96/3.29 % (1459114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.96/3.29 % (1459114)CaDiCaL version: 2.1.3
% 18.96/3.29 % (1459114)Termination reason: Instruction limit
% 18.96/3.29 % (1459114)Termination phase: Saturation
% 18.96/3.29 % (1459114)Time elapsed: 0.482 s
% 18.96/3.29 % (1459114)Peak memory usage: 12 MB
% 18.96/3.29 % (1459114)Instructions burned: 857 (million)
% 18.96/3.29 % (1459155)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=81307589:s2a=on:i=381:rtra=on_2973 on theBenchmark for (2973ds/381Mi)
% 18.96/3.29 % (1459152)Instruction limit reached!
% 18.96/3.29 % (1459152)------------------------------
% 18.96/3.29 % (1459152)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.96/3.29 % (1459152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.96/3.29 % (1459152)CaDiCaL version: 2.1.3
% 18.96/3.29 % (1459152)Termination reason: Instruction limit
% 18.96/3.29 % (1459152)Termination phase: Saturation
% 18.96/3.29 % (1459152)Time elapsed: 0.222 s
% 18.96/3.29 % (1459152)Peak memory usage: 12 MB
% 18.96/3.29 % (1459152)Instructions burned: 409 (million)
% 18.96/3.29 % (1459157)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2489751813:cond=on:i=324:rtra=on:ntd=on_2972 on theBenchmark for (2972ds/324Mi)
% 18.96/3.29 % (1459129)Instruction limit reached!
% 18.96/3.29 % (1459129)------------------------------
% 18.96/3.29 % (1459129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.96/3.29 % (1459129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.96/3.29 % (1459129)CaDiCaL version: 2.1.3
% 18.96/3.29 % (1459129)Termination reason: Instruction limit
% 18.96/3.29 % (1459129)Termination phase: Saturation
% 18.96/3.29 % (1459129)Time elapsed: 0.493 s
% 18.96/3.29 % (1459129)Peak memory usage: 14 MB
% 18.96/3.29 % (1459129)Instructions burned: 1145 (million)
% 18.96/3.29 % (1459144)Instruction limit reached!
% 18.96/3.29 % (1459144)------------------------------
% 18.96/3.29 % (1459144)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.96/3.29 % (1459144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.96/3.29 % (1459144)CaDiCaL version: 2.1.3
% 18.96/3.29 % (1459144)Termination reason: Instruction limit
% 18.96/3.29 % (1459144)Termination phase: Saturation
% 18.96/3.29 % (1459144)Time elapsed: 0.379 s
% 18.96/3.29 % (1459144)Peak memory usage: 13 MB
% 18.96/3.29 % (1459144)Instructions burned: 877 (million)
% 18.96/3.29 % (1459160)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 18.96/3.29 % (1459159)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=3447542390:i=240:kws=inv_precedence:rtra=on_2971 on theBenchmark for (2971ds/240Mi)
% 18.96/3.29 % (1459159)Refutation not found, incomplete strategy
% 18.96/3.29 % (1459159)------------------------------
% 18.96/3.29 % (1459159)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.96/3.29 % (1459159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.96/3.29 % (1459159)CaDiCaL version: 2.1.3
% 18.96/3.29 % (1459159)Termination reason: Refutation not found, incomplete strategy
% 18.96/3.29 % (1459159)Time elapsed: 0.001 s
% 18.96/3.29 % (1459159)Peak memory usage: 11 MB
% 18.96/3.29 % (1459159)Instructions burned: 1 (million)
% 18.96/3.29 % (1459159)------------------------------
% 18.96/3.29 % (1459159)------------------------------
% 18.96/3.29 % (1459160)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1092124082:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2971 on theBenchmark for (2971ds/124Mi)
% 18.96/3.29 % (1459164)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=3272172585:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2971 on theBenchmark for (2971ds/223Mi)
% 18.96/3.29 % (1459160)Instruction limit reached!
% 18.96/3.29 % (1459160)------------------------------
% 18.96/3.29 % (1459160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.96/3.29 % (1459160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.00/3.44 % (1459160)CaDiCaL version: 2.1.3
% 20.00/3.44 % (1459160)Termination reason: Instruction limit
% 20.00/3.44 % (1459160)Termination phase: Saturation
% 20.00/3.44 % (1459160)Time elapsed: 0.047 s
% 20.00/3.44 % (1459160)Peak memory usage: 12 MB
% 20.00/3.44 % (1459160)Instructions burned: 127 (million)
% 20.00/3.44 % (1459125)Instruction limit reached!
% 20.00/3.44 % (1459125)------------------------------
% 20.00/3.44 % (1459125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.00/3.44 % (1459125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.00/3.44 % (1459125)CaDiCaL version: 2.1.3
% 20.00/3.44 % (1459125)Termination reason: Instruction limit
% 20.00/3.44 % (1459125)Termination phase: Saturation
% 20.00/3.44 % (1459125)Time elapsed: 0.600 s
% 20.00/3.44 % (1459125)Peak memory usage: 17 MB
% 20.00/3.44 % (1459125)Instructions burned: 2241 (million)
% 20.00/3.44 % (1459155)Instruction limit reached!
% 20.00/3.44 % (1459155)------------------------------
% 20.00/3.44 % (1459155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.00/3.44 % (1459155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.00/3.44 % (1459155)CaDiCaL version: 2.1.3
% 20.00/3.44 % (1459155)Termination reason: Instruction limit
% 20.00/3.44 % (1459155)Termination phase: Saturation
% 20.00/3.44 % (1459155)Time elapsed: 0.241 s
% 20.00/3.44 % (1459155)Peak memory usage: 12 MB
% 20.00/3.44 % (1459155)Instructions burned: 382 (million)
% 20.00/3.44 % (1459167)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=482171044:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2970 on theBenchmark for (2970ds/464Mi)
% 20.00/3.44 % (1459167)Refutation not found, incomplete strategy
% 20.00/3.44 % (1459167)------------------------------
% 20.00/3.44 % (1459167)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.00/3.44 % (1459167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.00/3.44 % (1459167)CaDiCaL version: 2.1.3
% 20.00/3.44 % (1459167)Termination reason: Refutation not found, incomplete strategy
% 20.00/3.44 % (1459167)Time elapsed: 0.0000 s
% 20.00/3.44 % (1459167)Peak memory usage: 11 MB
% 20.00/3.44 % (1459167)Instructions burned: 1 (million)
% 20.00/3.44 % (1459167)------------------------------
% 20.00/3.44 % (1459167)------------------------------
% 20.00/3.44 % (1459170)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=150252966:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2970 on theBenchmark for (2970ds/280Mi)
% 20.00/3.44 % (1459157)Instruction limit reached!
% 20.00/3.44 % (1459157)------------------------------
% 20.00/3.44 % (1459157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.00/3.44 % (1459157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.00/3.44 % (1459157)CaDiCaL version: 2.1.3
% 20.00/3.44 % (1459157)Termination reason: Instruction limit
% 20.00/3.44 % (1459157)Termination phase: Saturation
% 20.00/3.44 % (1459157)Time elapsed: 0.117 s
% 20.00/3.44 % (1459157)Peak memory usage: 12 MB
% 20.00/3.44 % (1459157)Instructions burned: 325 (million)
% 20.00/3.44 % (1459166)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2579190043:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2971 on theBenchmark for (2971ds/282Mi)
% 20.00/3.44 % (1459168)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=2473155383:i=88:s2at=3:nm=2:rtra=on:rawr=on_2970 on theBenchmark for (2970ds/88Mi)
% 20.00/3.44 % (1459164)Instruction limit reached!
% 20.00/3.44 % (1459164)------------------------------
% 20.00/3.44 % (1459164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.00/3.44 % (1459164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.00/3.44 % (1459164)CaDiCaL version: 2.1.3
% 20.00/3.44 % (1459164)Termination reason: Instruction limit
% 20.00/3.44 % (1459164)Termination phase: Saturation
% 20.00/3.44 % (1459164)Time elapsed: 0.084 s
% 20.00/3.44 % (1459164)Peak memory usage: 12 MB
% 20.00/3.44 % (1459164)Instructions burned: 223 (million)
% 20.00/3.44 % (1459172)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 20.00/3.44 % (1459172)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=876846144:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2970 on theBenchmark for (2970ds/4386Mi)
% 20.94/3.69 % (1459175)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 20.94/3.69 % (1459175)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 20.94/3.69 % (1459175)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=3995836606:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2970 on theBenchmark for (2970ds/483Mi)
% 20.94/3.69 % (1459175)Refutation not found, incomplete strategy
% 20.94/3.69 % (1459175)------------------------------
% 20.94/3.69 % (1459175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.94/3.69 % (1459175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.94/3.69 % (1459175)CaDiCaL version: 2.1.3
% 20.94/3.69 % (1459175)Termination reason: Refutation not found, incomplete strategy
% 20.94/3.69 % (1459175)Time elapsed: 0.001 s
% 20.94/3.69 % (1459175)Peak memory usage: 12 MB
% 20.94/3.69 % (1459175)------------------------------
% 20.94/3.69 % (1459175)------------------------------
% 20.94/3.69 % (1459168)Instruction limit reached!
% 20.94/3.69 % (1459168)------------------------------
% 20.94/3.69 % (1459168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.94/3.69 % (1459168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.94/3.69 % (1459168)CaDiCaL version: 2.1.3
% 20.94/3.69 % (1459168)Termination reason: Instruction limit
% 20.94/3.69 % (1459168)Termination phase: Saturation
% 20.94/3.69 % (1459168)Time elapsed: 0.041 s
% 20.94/3.69 % (1459168)Peak memory usage: 12 MB
% 20.94/3.69 % (1459168)Instructions burned: 90 (million)
% 20.94/3.69 % (1459178)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3731724250:i=73:rtra=on_2970 on theBenchmark for (2970ds/73Mi)
% 20.94/3.69 % (1459178)Refutation not found, incomplete strategy
% 20.94/3.69 % (1459178)------------------------------
% 20.94/3.69 % (1459178)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.94/3.69 % (1459178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.94/3.69 % (1459178)CaDiCaL version: 2.1.3
% 20.94/3.69 % (1459178)Termination reason: Refutation not found, incomplete strategy
% 20.94/3.69 % (1459178)Time elapsed: 0.001 s
% 20.94/3.69 % (1459178)Peak memory usage: 11 MB
% 20.94/3.69 % (1459178)Instructions burned: 1 (million)
% 20.94/3.69 % (1459178)------------------------------
% 20.94/3.69 % (1459178)------------------------------
% 20.94/3.69 % (1459179)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=466112862:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2970 on theBenchmark for (2970ds/176Mi)
% 20.94/3.69 % (1459170)Instruction limit reached!
% 20.94/3.69 % (1459170)------------------------------
% 20.94/3.69 % (1459170)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.94/3.69 % (1459170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.94/3.69 % (1459170)CaDiCaL version: 2.1.3
% 20.94/3.69 % (1459170)Termination reason: Instruction limit
% 20.94/3.69 % (1459170)Termination phase: Saturation
% 20.94/3.69 % (1459170)Time elapsed: 0.072 s
% 20.94/3.69 % (1459170)Peak memory usage: 12 MB
% 20.94/3.69 % (1459170)Instructions burned: 282 (million)
% 20.94/3.69 % (1459183)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2449284232:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2970 on theBenchmark for (2970ds/708Mi)
% 20.94/3.69 % (1459182)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 20.94/3.69 % (1459182)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=2270257342:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2970 on theBenchmark for (2970ds/39Mi)
% 20.94/3.69 % (1459182)Instruction limit reached!
% 20.94/3.69 % (1459182)------------------------------
% 20.94/3.69 % (1459182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.94/3.69 % (1459182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.94/3.69 % (1459182)CaDiCaL version: 2.1.3
% 20.94/3.69 % (1459182)Termination reason: Instruction limit
% 20.94/3.69 % (1459182)Termination phase: Saturation
% 20.94/3.69 % (1459182)Time elapsed: 0.020 s
% 20.94/3.69 % (1459182)Peak memory usage: 12 MB
% 20.94/3.69 % (1459182)Instructions burned: 40 (million)
% 22.16/3.81 % (1459186)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
% 22.16/3.81 % (1459186)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=3362401960:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2969 on theBenchmark for (2969ds/252Mi)
% 22.16/3.81 % (1459179)Instruction limit reached!
% 22.16/3.81 % (1459179)------------------------------
% 22.16/3.81 % (1459179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.16/3.81 % (1459179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.16/3.81 % (1459179)CaDiCaL version: 2.1.3
% 22.16/3.81 % (1459179)Termination reason: Instruction limit
% 22.16/3.81 % (1459179)Termination phase: Saturation
% 22.16/3.81 % (1459179)Time elapsed: 0.078 s
% 22.16/3.81 % (1459179)Peak memory usage: 12 MB
% 22.16/3.81 % (1459179)Instructions burned: 176 (million)
% 22.16/3.81 % (1459188)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=368793936:i=823:fsr=off:rtra=on_2969 on theBenchmark for (2969ds/823Mi)
% 22.16/3.81 % (1459166)Instruction limit reached!
% 22.16/3.81 % (1459166)------------------------------
% 22.16/3.81 % (1459166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.16/3.81 % (1459166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.16/3.81 % (1459166)CaDiCaL version: 2.1.3
% 22.16/3.81 % (1459166)Termination reason: Instruction limit
% 22.16/3.81 % (1459166)Termination phase: Saturation
% 22.16/3.81 % (1459166)Time elapsed: 0.190 s
% 22.16/3.81 % (1459166)Peak memory usage: 13 MB
% 22.16/3.81 % (1459166)Instructions burned: 283 (million)
% 22.16/3.81 % (1459190)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 22.16/3.81 % (1459190)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=2326050701:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2968 on theBenchmark for (2968ds/16202Mi)
% 22.16/3.81 % (1459190)Refutation not found, incomplete strategy
% 22.16/3.81 % (1459190)------------------------------
% 22.16/3.81 % (1459190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.16/3.81 % (1459190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.16/3.81 % (1459190)CaDiCaL version: 2.1.3
% 22.16/3.81 % (1459190)Termination reason: Refutation not found, incomplete strategy
% 22.16/3.81 % (1459190)Time elapsed: 0.001 s
% 22.16/3.81 % (1459190)Peak memory usage: 12 MB
% 22.16/3.81 % (1459190)Instructions burned: 2 (million)
% 22.16/3.81 % (1459190)------------------------------
% 22.16/3.81 % (1459190)------------------------------
% 22.16/3.81 % (1459186)Instruction limit reached!
% 22.16/3.81 % (1459186)------------------------------
% 22.16/3.81 % (1459186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.16/3.81 % (1459186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.16/3.81 % (1459186)CaDiCaL version: 2.1.3
% 22.16/3.81 % (1459186)Termination reason: Instruction limit
% 22.16/3.81 % (1459186)Termination phase: Saturation
% 22.16/3.81 % (1459186)Time elapsed: 0.103 s
% 22.16/3.81 % (1459186)Peak memory usage: 12 MB
% 22.16/3.81 % (1459186)Instructions burned: 254 (million)
% 22.16/3.81 % (1459192)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=3207611909:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2968 on theBenchmark for (2968ds/300Mi)
% 22.16/3.81 % (1459193)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 22.16/3.81 % (1459193)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 22.16/3.81 % (1459193)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=1636970119:i=177:add=on:bd=preordered:rtra=on:rawr=on_2968 on theBenchmark for (2968ds/177Mi)
% 22.16/3.81 % (1459183)Instruction limit reached!
% 22.16/3.81 % (1459183)------------------------------
% 22.16/3.81 % (1459183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.16/3.81 % (1459183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.16/3.81 % (1459183)CaDiCaL version: 2.1.3
% 22.16/3.81 % (1459183)Termination reason: Instruction limit
% 22.91/3.90 % (1459183)Termination phase: Saturation
% 22.91/3.90 % (1459183)Time elapsed: 0.180 s
% 22.91/3.90 % (1459183)Peak memory usage: 14 MB
% 22.91/3.90 % (1459183)Instructions burned: 709 (million)
% 22.91/3.90 % (1459196)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=1579455842:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2968 on theBenchmark for (2968ds/715Mi)
% 22.91/3.90 % (1459196)Refutation not found, incomplete strategy
% 22.91/3.90 % (1459196)------------------------------
% 22.91/3.90 % (1459196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.91/3.90 % (1459196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.91/3.90 % (1459196)CaDiCaL version: 2.1.3
% 22.91/3.90 % (1459196)Termination reason: Refutation not found, incomplete strategy
% 22.91/3.90 % (1459196)Time elapsed: 0.001 s
% 22.91/3.90 % (1459196)Peak memory usage: 11 MB
% 22.91/3.90 % (1459196)Instructions burned: 2 (million)
% 22.91/3.90 % (1459196)------------------------------
% 22.91/3.90 % (1459196)------------------------------
% 22.91/3.90 % (1459198)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 22.91/3.90 % (1459198)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 22.91/3.90 % (1459198)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=1282411807:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2967 on theBenchmark for (2967ds/230Mi)
% 22.91/3.90 % (1459198)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 22.91/3.90 % (1459193)Instruction limit reached!
% 22.91/3.90 % (1459193)------------------------------
% 22.91/3.90 % (1459193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.91/3.90 % (1459193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.91/3.90 % (1459193)CaDiCaL version: 2.1.3
% 22.91/3.90 % (1459193)Termination reason: Instruction limit
% 22.91/3.90 % (1459193)Termination phase: Saturation
% 22.91/3.90 % (1459193)Time elapsed: 0.082 s
% 22.91/3.90 % (1459193)Peak memory usage: 12 MB
% 22.91/3.90 % (1459193)Instructions burned: 177 (million)
% 22.91/3.90 % (1459200)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=611778:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2967 on theBenchmark for (2967ds/606Mi)
% 22.91/3.90 % (1459198)Instruction limit reached!
% 22.91/3.90 % (1459198)------------------------------
% 22.91/3.90 % (1459198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.91/3.90 % (1459198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.91/3.90 % (1459198)CaDiCaL version: 2.1.3
% 22.91/3.90 % (1459198)Termination reason: Instruction limit
% 22.91/3.90 % (1459198)Termination phase: Saturation
% 22.91/3.90 % (1459198)Time elapsed: 0.066 s
% 22.91/3.90 % (1459198)Peak memory usage: 13 MB
% 22.91/3.90 % (1459198)Instructions burned: 231 (million)
% 22.91/3.90 % (1459202)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 22.91/3.90 % (1459202)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=3256485949:lrd=on:i=841:nm=0:rtra=on_2967 on theBenchmark for (2967ds/841Mi)
% 22.91/3.90 % (1459192)Instruction limit reached!
% 22.91/3.90 % (1459192)------------------------------
% 22.91/3.90 % (1459192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.91/3.90 % (1459192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.91/3.90 % (1459192)CaDiCaL version: 2.1.3
% 22.91/3.90 % (1459192)Termination reason: Instruction limit
% 22.91/3.90 % (1459192)Termination phase: Saturation
% 22.91/3.90 % (1459192)Time elapsed: 0.210 s
% 22.91/3.90 % (1459192)Peak memory usage: 12 MB
% 22.91/3.90 % (1459192)Instructions burned: 301 (million)
% 22.91/3.90 % (1459204)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1064637403:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2966 on theBenchmark for (2966ds/445Mi)
% 22.91/3.90 % (1459188)Instruction limit reached!
% 22.91/3.90 % (1459188)------------------------------
% 22.91/3.90 % (1459188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.91/3.90 % (1459188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.91/3.96 % (1459188)CaDiCaL version: 2.1.3
% 22.91/3.96 % (1459188)Termination reason: Instruction limit
% 22.91/3.96 % (1459188)Termination phase: Saturation
% 22.91/3.96 % (1459188)Time elapsed: 0.344 s
% 22.91/3.96 % (1459188)Peak memory usage: 13 MB
% 22.91/3.96 % (1459188)Instructions burned: 824 (million)
% 22.91/3.96 % (1459206)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=1752390852:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2965 on theBenchmark for (2965ds/71Mi)
% 22.91/3.96 % (1459206)Instruction limit reached!
% 22.91/3.96 % (1459206)------------------------------
% 22.91/3.96 % (1459206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.91/3.96 % (1459206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.91/3.96 % (1459206)CaDiCaL version: 2.1.3
% 22.91/3.96 % (1459206)Termination reason: Instruction limit
% 22.91/3.96 % (1459206)Termination phase: Saturation
% 22.91/3.96 % (1459206)Time elapsed: 0.038 s
% 22.91/3.96 % (1459206)Peak memory usage: 12 MB
% 22.91/3.96 % (1459206)Instructions burned: 72 (million)
% 22.91/3.96 % (1459204)Instruction limit reached!
% 22.91/3.96 % (1459204)------------------------------
% 22.91/3.96 % (1459204)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.91/3.96 % (1459204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.91/3.96 % (1459204)CaDiCaL version: 2.1.3
% 22.91/3.96 % (1459204)Termination reason: Instruction limit
% 22.91/3.96 % (1459204)Termination phase: Saturation
% 22.91/3.96 % (1459204)Time elapsed: 0.117 s
% 22.91/3.96 % (1459204)Peak memory usage: 14 MB
% 22.91/3.96 % (1459204)Instructions burned: 449 (million)
% 22.91/3.96 % (1459209)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(3) has been set then sine_level_split_queue(off) is equal to on
% 22.91/3.96 % (1459208)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
% 22.91/3.96 % (1459208)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 22.91/3.96 % (1459209)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=3623037298:i=1352:add=on:aac=none:rtra=on_2964 on theBenchmark for (2964ds/1352Mi)
% 22.91/3.96 % (1459209)Refutation not found, incomplete strategy
% 22.91/3.96 % (1459209)------------------------------
% 22.91/3.96 % (1459209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.91/3.96 % (1459209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.91/3.96 % (1459209)CaDiCaL version: 2.1.3
% 22.91/3.96 % (1459209)Termination reason: Refutation not found, incomplete strategy
% 22.91/3.96 % (1459209)Time elapsed: 0.001 s
% 22.91/3.96 % (1459209)Peak memory usage: 11 MB
% 22.91/3.96 % (1459209)Instructions burned: 3 (million)
% 22.91/3.96 % (1459209)------------------------------
% 22.91/3.96 % (1459209)------------------------------
% 22.91/3.96 % (1459208)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=729727944:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2965 on theBenchmark for (2965ds/100Mi)
% 22.91/3.96 % (1459211)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=3129188039:hsq=on:hsqr=16,1:s2a=on:i=646:nm=16:rtra=on:gtg=exists_top:proc=on_2964 on theBenchmark for (2964ds/646Mi)
% 22.91/3.96 % (1459200)Instruction limit reached!
% 22.91/3.96 % (1459200)------------------------------
% 22.91/3.96 % (1459200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.91/3.96 % (1459200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.91/3.96 % (1459200)CaDiCaL version: 2.1.3
% 22.91/3.96 % (1459200)Termination reason: Instruction limit
% 22.91/3.96 % (1459200)Termination phase: Saturation
% 22.91/3.96 % (1459200)Time elapsed: 0.278 s
% 22.91/3.96 % (1459200)Peak memory usage: 12 MB
% 22.91/3.96 % (1459200)Instructions burned: 606 (million)
% 22.91/3.96 % (1459208)Instruction limit reached!
% 22.91/3.96 % (1459208)------------------------------
% 22.91/3.96 % (1459208)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.91/3.96 % (1459208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.66/4.14 % (1459208)CaDiCaL version: 2.1.3
% 25.66/4.14 % (1459208)Termination reason: Instruction limit
% 25.66/4.14 % (1459208)Termination phase: Saturation
% 25.66/4.14 % (1459208)Time elapsed: 0.046 s
% 25.66/4.14 % (1459208)Peak memory usage: 12 MB
% 25.66/4.14 % (1459208)Instructions burned: 101 (million)
% 25.66/4.14 % (1459214)lrs+10_1_sil=128000:si=on:uwa=all:random_seed=3970518546:i=1924:sd=2:kws=precedence:bd=all:rtra=on:ss=axioms:sgt=16_2964 on theBenchmark for (2964ds/1924Mi)
% 25.66/4.14 % (1459214)Refutation not found, incomplete strategy
% 25.66/4.14 % (1459214)------------------------------
% 25.66/4.14 % (1459214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.66/4.14 % (1459214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.66/4.14 % (1459214)CaDiCaL version: 2.1.3
% 25.66/4.14 % (1459214)Termination reason: Refutation not found, incomplete strategy
% 25.66/4.14 % (1459214)Time elapsed: 0.001 s
% 25.66/4.14 % (1459214)Peak memory usage: 11 MB
% 25.66/4.14 % (1459214)------------------------------
% 25.66/4.14 % (1459214)------------------------------
% 25.66/4.14 % (1459215)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1023613777:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2964 on theBenchmark for (2964ds/984Mi)
% 25.66/4.14 % (1459215)Refutation not found, incomplete strategy
% 25.66/4.14 % (1459215)------------------------------
% 25.66/4.14 % (1459215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.66/4.14 % (1459215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.66/4.14 % (1459215)CaDiCaL version: 2.1.3
% 25.66/4.14 % (1459215)Termination reason: Refutation not found, incomplete strategy
% 25.66/4.14 % (1459215)Time elapsed: 0.001 s
% 25.66/4.14 % (1459215)Peak memory usage: 11 MB
% 25.66/4.14 % (1459215)Instructions burned: 1 (million)
% 25.66/4.14 % (1459215)------------------------------
% 25.66/4.14 % (1459215)------------------------------
% 25.66/4.14 % (1459217)dis+10_128_sil=128000:drc=ordering:fde=unused:si=on:lma=off:uwa=interpreted_only:avsqc=4:random_seed=1131259280:avsq=on:i=592:add=off:kws=inv_frequency:bd=preordered:rtra=on_2964 on theBenchmark for (2964ds/592Mi)
% 25.66/4.14 % (1459219)dis+1010_7_si=on:uwa=off:nwc=1.2:random_seed=2839494163:st=2.5:i=872:sd=4:fsr=off:rtra=on:ss=axioms:c=on:ntd=on_2964 on theBenchmark for (2964ds/872Mi)
% 25.66/4.14 % (1459219)Refutation not found, incomplete strategy
% 25.66/4.14 % (1459219)------------------------------
% 25.66/4.14 % (1459219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.66/4.14 % (1459219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.66/4.14 % (1459219)CaDiCaL version: 2.1.3
% 25.66/4.14 % (1459219)Termination reason: Refutation not found, incomplete strategy
% 25.66/4.14 % (1459219)Time elapsed: 0.001 s
% 25.66/4.14 % (1459219)Peak memory usage: 11 MB
% 25.66/4.14 % (1459219)------------------------------
% 25.66/4.14 % (1459219)------------------------------
% 25.66/4.14 % (1459222)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 25.66/4.14 % (1459222)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=4252479494:i=999:add=on:rtra=on_2963 on theBenchmark for (2963ds/999Mi)
% 25.66/4.14 % (1459211)Instruction limit reached!
% 25.66/4.14 % (1459211)------------------------------
% 25.66/4.14 % (1459211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.66/4.14 % (1459211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.66/4.14 % (1459211)CaDiCaL version: 2.1.3
% 25.66/4.14 % (1459211)Termination reason: Instruction limit
% 25.66/4.14 % (1459211)Termination phase: Saturation
% 25.66/4.14 % (1459211)Time elapsed: 0.114 s
% 25.66/4.14 % (1459211)Peak memory usage: 14 MB
% 25.66/4.14 % (1459211)Instructions burned: 651 (million)
% 25.66/4.14 % (1459224)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 25.66/4.14 % (1459224)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=1220614835:i=244:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2963 on theBenchmark for (2963ds/244Mi)
% 25.66/4.14 % (1459224)Refutation not found, incomplete strategy
% 25.66/4.14 % (1459224)------------------------------
% 26.67/4.36 % (1459224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.67/4.36 % (1459224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.67/4.36 % (1459224)CaDiCaL version: 2.1.3
% 26.67/4.36 % (1459224)Termination reason: Refutation not found, incomplete strategy
% 26.67/4.36 % (1459224)Time elapsed: 0.001 s
% 26.67/4.36 % (1459224)Peak memory usage: 11 MB
% 26.67/4.36 % (1459224)Instructions burned: 3 (million)
% 26.67/4.36 % (1459224)------------------------------
% 26.67/4.36 % (1459224)------------------------------
% 26.67/4.36 % (1459226)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=4116022120:cts=off:i=113:fsr=off:rtra=on:fe=abstraction_2963 on theBenchmark for (2963ds/113Mi)
% 26.67/4.36 % (1459226)Refutation not found, incomplete strategy
% 26.67/4.36 % (1459226)------------------------------
% 26.67/4.36 % (1459226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.67/4.36 % (1459226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.67/4.36 % (1459226)CaDiCaL version: 2.1.3
% 26.67/4.36 % (1459226)Termination reason: Refutation not found, incomplete strategy
% 26.67/4.36 % (1459226)Time elapsed: 0.0000 s
% 26.67/4.36 % (1459226)Peak memory usage: 11 MB
% 26.67/4.36 % (1459226)Instructions burned: 1 (million)
% 26.67/4.36 % (1459226)------------------------------
% 26.67/4.36 % (1459226)------------------------------
% 26.67/4.36 % (1459228)lrs+10_1_sil=128000:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3816060049:i=7795:sd=2:nm=16:rtra=on:ss=axioms_2963 on theBenchmark for (2963ds/7795Mi)
% 26.67/4.36 % (1459228)Refutation not found, incomplete strategy
% 26.67/4.36 % (1459228)------------------------------
% 26.67/4.36 % (1459228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.67/4.36 % (1459228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.67/4.36 % (1459228)CaDiCaL version: 2.1.3
% 26.67/4.36 % (1459228)Termination reason: Refutation not found, incomplete strategy
% 26.67/4.36 % (1459228)Time elapsed: 0.0000 s
% 26.67/4.36 % (1459228)Peak memory usage: 11 MB
% 26.67/4.36 % (1459228)------------------------------
% 26.67/4.36 % (1459228)------------------------------
% 26.67/4.36 % (1459230)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=4254817282:st=2:i=5026:sd=1:rtra=on:ss=axioms_2963 on theBenchmark for (2963ds/5026Mi)
% 26.67/4.36 % (1459230)Refutation not found, incomplete strategy
% 26.67/4.36 % (1459230)------------------------------
% 26.67/4.36 % (1459230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.67/4.36 % (1459230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.67/4.36 % (1459230)CaDiCaL version: 2.1.3
% 26.67/4.36 % (1459230)Termination reason: Refutation not found, incomplete strategy
% 26.67/4.36 % (1459230)Time elapsed: 0.0000 s
% 26.67/4.36 % (1459230)Peak memory usage: 11 MB
% 26.67/4.36 % (1459230)------------------------------
% 26.67/4.36 % (1459230)------------------------------
% 26.67/4.36 % (1459232)WARNING Broken Constraint: if ho_split_queue_ratios(1,4) has been set then ho_split_queue(off) is equal to on
% 26.67/4.36 % (1459232)dis+1004_8_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_frequency:sos=on:uwa=off:random_seed=1706508095:hsqr=1,4:i=763:bd=preordered:nm=0:rtra=on:bet=on:ss=axioms_2963 on theBenchmark for (2963ds/763Mi)
% 26.67/4.36 % (1459232)Refutation not found, incomplete strategy
% 26.67/4.36 % (1459232)------------------------------
% 26.67/4.36 % (1459232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.67/4.36 % (1459232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.67/4.36 % (1459232)CaDiCaL version: 2.1.3
% 26.67/4.36 % (1459232)Termination reason: Refutation not found, incomplete strategy
% 26.67/4.36 % (1459232)Time elapsed: 0.0000 s
% 26.67/4.36 % (1459232)Peak memory usage: 11 MB
% 26.67/4.36 % (1459232)Instructions burned: 1 (million)
% 26.67/4.36 % (1459232)------------------------------
% 26.67/4.36 % (1459232)------------------------------
% 26.67/4.36 % (1459234)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1633694610:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2963 on theBenchmark for (2963ds/1144Mi)
% 26.67/4.36 % (1459234)Refutation not found, incomplete strategy
% 26.67/4.36 % (1459234)------------------------------
% 26.67/4.36 % (1459234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.67/4.36 % (1459234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.67/4.36 % (1459234)CaDiCaL version: 2.1.3
% 26.67/4.36 % (1459234)Termination reason: Refutation not found, incomplete strategy
% 26.67/4.36 % (1459234)Time elapsed: 0.0000 s
% 26.67/4.36 % (1459234)Peak memory usage: 11 MB
% 26.67/4.36 % (1459234)------------------------------
% 26.67/4.36 % (1459234)------------------------------
% 26.67/4.36 % (1459236)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 26.67/4.36 % (1459236)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=3339074582:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2962 on theBenchmark for (2962ds/52Mi)
% 26.67/4.36 % (1459236)Instruction limit reached!
% 26.67/4.36 % (1459236)------------------------------
% 26.67/4.36 % (1459236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.67/4.36 % (1459236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.67/4.36 % (1459236)CaDiCaL version: 2.1.3
% 26.67/4.36 % (1459236)Termination reason: Instruction limit
% 26.67/4.36 % (1459236)Termination phase: Saturation
% 26.67/4.36 % (1459236)Time elapsed: 0.010 s
% 26.67/4.36 % (1459236)Peak memory usage: 12 MB
% 26.67/4.36 % (1459236)Instructions burned: 52 (million)
% 26.67/4.36 % (1459238)dis+1010_1_sil=128000:si=on:etr=on:uwa=off:random_seed=2933340165:i=1724:fsr=off:rtra=on:fe=abstraction_2962 on theBenchmark for (2962ds/1724Mi)
% 26.67/4.36 % (1459202)Instruction limit reached!
% 26.67/4.36 % (1459202)------------------------------
% 26.67/4.36 % (1459202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.67/4.36 % (1459202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.67/4.36 % (1459202)CaDiCaL version: 2.1.3
% 26.67/4.36 % (1459202)Termination reason: Instruction limit
% 26.67/4.36 % (1459202)Termination phase: Saturation
% 26.67/4.36 % (1459202)Time elapsed: 0.511 s
% 26.67/4.36 % (1459202)Peak memory usage: 13 MB
% 26.67/4.36 % (1459202)Instructions burned: 842 (million)
% 26.67/4.36 % (1459217)Instruction limit reached!
% 26.67/4.36 % (1459217)------------------------------
% 26.67/4.36 % (1459217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.67/4.36 % (1459217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.67/4.36 % (1459217)CaDiCaL version: 2.1.3
% 26.67/4.36 % (1459217)Termination reason: Instruction limit
% 26.67/4.36 % (1459217)Termination phase: Saturation
% 26.67/4.36 % (1459217)Time elapsed: 0.249 s
% 26.67/4.36 % (1459217)Peak memory usage: 12 MB
% 26.67/4.36 % (1459217)Instructions burned: 593 (million)
% 26.67/4.36 % (1459240)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=1801915220:i=439:add=on:slsql=off:rtra=on:ntd=on_2961 on theBenchmark for (2961ds/439Mi)
% 26.67/4.36 % (1459241)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=427042791:i=6395:sd=1:rtra=on:ss=axioms_2961 on theBenchmark for (2961ds/6395Mi)
% 26.67/4.36 % (1459241)Refutation not found, incomplete strategy
% 26.67/4.36 % (1459241)------------------------------
% 26.67/4.36 % (1459241)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.67/4.36 % (1459241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.67/4.36 % (1459241)CaDiCaL version: 2.1.3
% 26.67/4.36 % (1459241)Termination reason: Refutation not found, incomplete strategy
% 26.67/4.36 % (1459241)Time elapsed: 0.001 s
% 26.67/4.36 % (1459241)Peak memory usage: 11 MB
% 26.67/4.36 % (1459241)------------------------------
% 26.67/4.36 % (1459241)------------------------------
% 26.67/4.36 % (1459244)WARNING Broken Constraint: if ho_split_queue_lambda_weight(5) has been set then ho_split_queue(off) is equal to on
% 26.67/4.36 % (1459244)ott+2_16:1_sil=128000:si=on:hsqlw=5:sos=on:urr=on:bce=on:uwa=off:random_seed=3684616322:i=6762:add=off:bd=all:rtra=on:ss=axioms:ntd=on_2961 on theBenchmark for (2961ds/6762Mi)
% 26.67/4.36 % (1459244)Refutation not found, incomplete strategy
% 26.67/4.36 % (1459244)------------------------------
% 26.67/4.36 % (1459244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.67/4.36 % (1459244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.67/4.36 % (1459244)CaDiCaL version: 2.1.3
% 26.67/4.36 % (1459244)Termination reason: Refutation not found, incomplete strategy
% 26.67/4.36 % (1459244)Time elapsed: 0.001 s
% 26.67/4.36 % (1459244)Peak memory usage: 11 MB
% 26.67/4.36 % (1459244)------------------------------
% 26.67/4.36 % (1459244)------------------------------
% 26.67/4.36 % (1459246)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 26.67/4.36 % (1459246)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=2058760781:s2a=on:i=376:add=on:rtra=on:fe=axiom:fdi=1024_2961 on theBenchmark for (2961ds/376Mi)
% 26.67/4.36 % (1459240)Instruction limit reached!
% 26.67/4.36 % (1459240)------------------------------
% 26.67/4.36 % (1459240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.67/4.36 % (1459240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.67/4.36 % (1459240)CaDiCaL version: 2.1.3
% 26.67/4.36 % (1459240)Termination reason: Instruction limit
% 26.67/4.36 % (1459240)Termination phase: Saturation
% 26.67/4.36 % (1459240)Time elapsed: 0.157 s
% 26.67/4.36 % (1459240)Peak memory usage: 12 MB
% 26.67/4.36 % (1459240)Instructions burned: 441 (million)
% 26.67/4.36 % (1459137) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1458816-1459137"...
% 26.67/4.36 % (1459248)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=38371908:i=965:bd=all:ins=4:rtra=on_2959 on theBenchmark for (2959ds/965Mi)
% 26.67/4.36 % (1459222)Instruction limit reached!
% 26.67/4.36 % (1459222)------------------------------
% 26.67/4.36 % (1459222)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.67/4.36 % (1459222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.67/4.36 % (1459222)CaDiCaL version: 2.1.3
% 26.67/4.36 % (1459222)Termination reason: Instruction limit
% 26.67/4.36 % (1459222)Termination phase: Saturation
% 26.67/4.36 % (1459222)Time elapsed: 0.471 s
% 26.67/4.36 % (1459222)Peak memory usage: 14 MB
% 26.67/4.36 % (1459222)Instructions burned: 1001 (million)
% 26.67/4.36 % (1459246)Instruction limit reached!
% 26.67/4.36 % (1459246)------------------------------
% 26.67/4.36 % (1459246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.67/4.36 % (1459246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.67/4.36 % (1459246)CaDiCaL version: 2.1.3
% 26.67/4.36 % (1459246)Termination reason: Instruction limit
% 26.67/4.36 % (1459246)Termination phase: Saturation
% 26.67/4.36 % (1459246)Time elapsed: 0.193 s
% 26.67/4.36 % (1459246)Peak memory usage: 14 MB
% 26.67/4.36 % (1459246)Instructions burned: 376 (million)
% 26.67/4.36 % (1459137)...printing done.
% 26.67/4.36 % (1459137)Refutation found. Thanks to Tanya!
% 26.67/4.36 % SZS status Unsatisfiable for theBenchmark
% 26.67/4.36 % SZS output start Proof for theBenchmark
% See solution above
% 27.39/4.41 % (1459137)------------------------------
% 27.39/4.41 % (1459137)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.39/4.41 % (1459137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.39/4.41 % (1459137)CaDiCaL version: 2.1.3
% 27.39/4.41 % (1459137)Termination reason: Refutation
% 27.39/4.41 % (1459137)Time elapsed: 1.711 s
% 27.39/4.41 % (1459137)Peak memory usage: 18 MB
% 27.39/4.41 % (1459137)Instructions burned: 3509 (million)
% 27.39/4.41 % (1458816)Success in time 4.136 s
% 27.39/4.41 % Vampire exiting
%------------------------------------------------------------------------------