%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA173^1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:03:08 AM UTC 2026
% Result : Unsatisfiable 21.15s 3.33s
% Output : Refutation 21.15s
% 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/sandbox2/benchmark/theBenchmark.p',snz) ).
thf(f2,axiom,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sinj) ).
thf(f3,axiom,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ri) ).
thf(f4,axiom,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bi) ).
thf(f5,axiom,
! [X1: $i,X0: $i] :
( ( b @ X0 @ X1 )
| ( r @ X0 @ X1 )
| ( X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rb) ).
thf(f6,axiom,
! [X1: $i,X2: $i,X0: $i] :
( ~ ( r @ X1 @ X2 )
| ~ ( r @ X0 @ X1 )
| ~ ( r @ X0 @ X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axr) ).
thf(f7,axiom,
! [X3: $i,X4: $i,X0: $i,X1: $i,X2: $i] :
( ~ ( b @ X3 @ X4 )
| ~ ( b @ X1 @ X4 )
| ~ ( b @ X0 @ X4 )
| ~ ( b @ X1 @ X2 )
| ~ ( b @ X0 @ X2 )
| ~ ( b @ X2 @ X3 )
| ~ ( b @ X0 @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axb) ).
thf(f8,plain,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
inference(rectify,[],[f3]) ).
thf(f9,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f8]) ).
thf(f10,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( b @ X0 @ X1 )
| ~ ( b @ X3 @ X1 )
| ~ ( b @ X2 @ X1 )
| ~ ( b @ X3 @ X4 )
| ~ ( b @ X2 @ X4 )
| ~ ( b @ X4 @ X0 )
| ~ ( b @ X2 @ X3 ) ),
inference(rectify,[],[f7]) ).
thf(f11,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X3 @ X1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X3 @ X4 )
!= $true )
| ( $true
!= ( b @ X2 @ X4 ) )
| ( ( b @ X4 @ X0 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true ) ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
inference(rectify,[],[f4]) ).
thf(f13,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f12]) ).
thf(f14,plain,
! [X0: $i,X1: $i] :
( ( b @ X1 @ X0 )
| ( r @ X1 @ X0 )
| ( X0 = X1 ) ),
inference(rectify,[],[f5]) ).
thf(f15,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X1 @ X0 )
= $true )
| ( ( b @ X1 @ X0 )
= $true )
| ( X0 = X1 ) ),
inference(fool_elimination,[],[f14]) ).
thf(f16,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r @ X0 @ X1 )
| ~ ( r @ X2 @ X0 )
| ~ ( r @ X2 @ X1 ) ),
inference(rectify,[],[f6]) ).
thf(f17,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X2 @ X0 )
!= $true )
| ( $true
!= ( r @ X2 @ X1 ) ) ),
inference(fool_elimination,[],[f16]) ).
thf(f18,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f9]) ).
thf(f19,plain,
! [X4: $i,X3: $i,X1: $i,X0: $i,X2: $i] :
( ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X4 ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X3 @ X1 )
!= $true )
| ( ( b @ X4 @ X0 )
!= $true )
| ( ( b @ X3 @ X4 )
!= $true ) ),
inference(flattening,[],[f11]) ).
thf(f20,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f13]) ).
thf(f21,plain,
! [X0: $i,X2: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ X1 ) )
| ( ( r @ X2 @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) ),
inference(flattening,[],[f17]) ).
thf(f22,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true ) ),
inference(rectify,[],[f21]) ).
thf(f23,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( b @ X4 @ X1 )
!= $true )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( ( b @ X4 @ X0 )
!= $true )
| ( ( b @ X4 @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ X3 ) )
| ( ( b @ X1 @ X0 )
!= $true ) ),
inference(rectify,[],[f19]) ).
thf(f24,plain,
! [X0: $i] :
( ( s @ X0 )
!= z ),
inference(cnf_transformation,[],[f1]) ).
thf(f25,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
= $true )
| ( X0 = X1 )
| ( ( r @ X1 @ X0 )
= $true ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f26,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f18]) ).
thf(f27,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f22]) ).
thf(f28,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f2]) ).
thf(f29,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
!= ( b @ X3 @ X2 ) )
| ( ( b @ X4 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ X3 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X4 @ X2 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X4 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f30,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f20]) ).
thf(f33,plain,
! [X0: $i] :
( ( ( b @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) ),
inference(extensionality_resolution,[],[f25,f24]) ).
thf(f34,plain,
! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) ),
inference(extensionality_resolution,[],[f25,f24]) ).
thf(f35,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( ( b @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f25,f28]) ).
thf(f40,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X3 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( b @ X2 @ ( s @ X0 ) )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true ) ),
inference(constrained_superposition,[],[f29,f33]) ).
thf(f41,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ X0 ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true
!= ( b @ X3 @ z ) )
| ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f40]) ).
thf(f43,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( b @ z @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f41,f33]) ).
thf(f45,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( b @ z @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(duplicate_literal_removal,[],[f43]) ).
thf(f46,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( b @ z @ X2 )
!= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f45]) ).
thf(f52,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X3 @ ( s @ X0 ) )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true )
| ( ( b @ X2 @ z )
!= $true ) ),
inference(constrained_superposition,[],[f29,f34]) ).
thf(f53,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X3 @ ( s @ X0 ) )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f52]) ).
thf(f55,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ z )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true
!= ( b @ X1 @ z ) ) ),
inference(constrained_superposition,[],[f53,f33]) ).
thf(f56,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true )
| ( ( b @ X2 @ z )
!= $true ) ),
inference(duplicate_literal_removal,[],[f55]) ).
thf(f57,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X2 @ z )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) ),
inference(trivial_inequality_removal,[],[f56]) ).
thf(f60,definition,
( spl0_1
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
thf(f61,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f60]) ).
thf(f63,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(f64,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f63]) ).
thf(f65,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f57,f63,f60]) ).
thf(f66,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f27,f64]) ).
thf(f67,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f66]) ).
thf(f71,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
= $true )
| ( X0 = X1 )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f35,f28]) ).
thf(f73,plain,
! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ),
inference(extensionality_resolution,[],[f35,f24]) ).
thf(f74,plain,
! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f35,f24]) ).
thf(f76,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ X1 ) )
!= $true )
| ( ( r @ ( s @ X0 ) @ X2 )
!= $true )
| ( X0 = X1 )
| ( ( b @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f27,f35]) ).
thf(f78,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ X2 )
!= $true )
| ( X0 = X1 )
| ( ( r @ X2 @ ( s @ X1 ) )
!= $true )
| ( ( b @ ( s @ X0 ) @ ( s @ X1 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f76]) ).
thf(f79,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f67,f73]) ).
thf(f80,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ),
inference(constrained_superposition,[],[f27,f73]) ).
thf(f81,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f79]) ).
thf(f82,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) ),
inference(trivial_inequality_removal,[],[f80]) ).
thf(f84,definition,
( spl0_3
<=> ( ( r @ ( s @ z ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
thf(f85,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| spl0_3 ),
inference(avatar_component_clause,[],[f84]) ).
thf(f87,definition,
( spl0_4
<=> ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
thf(f88,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f87]) ).
thf(f89,plain,
( ~ spl0_3
| spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f81,f63,f87,f84]) ).
thf(f130,definition,
( spl0_6
<=> ! [X0: $i] :
( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
thf(f131,plain,
( ! [X0: $i] :
( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f130]) ).
thf(f134,definition,
( spl0_7
<=> ( $true
= ( r @ z @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
thf(f135,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| spl0_7 ),
inference(avatar_component_clause,[],[f134]) ).
thf(f145,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f134]) ).
thf(f154,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f84]) ).
thf(f191,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ z @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f27,f131]) ).
thf(f192,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f191]) ).
thf(f193,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ X0 ) @ ( s @ ( s @ X1 ) ) )
= $true )
| ( ( r @ z @ ( s @ X0 ) )
!= $true )
| ( ( s @ X1 )
= X0 ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f192,f35]) ).
thf(f196,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ X0 ) )
!= $true )
| ( ( s @ X1 )
= X0 )
| ( ( b @ ( s @ X0 ) @ ( s @ ( s @ X1 ) ) )
= $true ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f193]) ).
thf(f218,definition,
( spl0_12
<=> ( ( b @ ( s @ z ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
thf(f219,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| spl0_12 ),
inference(avatar_component_clause,[],[f218]) ).
thf(f221,definition,
( spl0_13
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ z @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
thf(f222,plain,
( ! [X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f221]) ).
thf(f224,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| spl0_12 ),
inference(constrained_superposition,[],[f219,f34]) ).
thf(f226,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| spl0_12 ),
inference(trivial_inequality_removal,[],[f224]) ).
thf(f229,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
= $true )
| ( $true != $true )
| ( ( s @ X0 )
= ( s @ X1 ) ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f196,f131]) ).
thf(f231,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
= $true )
| ( ( s @ X0 )
= ( s @ X1 ) ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f229]) ).
thf(f267,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) ),
inference(constrained_superposition,[],[f27,f74]) ).
thf(f271,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f267]) ).
thf(f299,plain,
( spl0_3
| spl0_12 ),
inference(avatar_split_clause,[],[f226,f218,f84]) ).
thf(f300,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_2
| spl0_3 ),
inference(constrained_superposition,[],[f85,f64]) ).
thf(f301,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ~ spl0_2
| spl0_3 ),
inference(trivial_inequality_removal,[],[f300]) ).
thf(f302,plain,
( $false
| ~ spl0_2
| spl0_3
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f301,f135]) ).
thf(f303,plain,
( ~ spl0_2
| spl0_3
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f302]) ).
thf(f304,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( z = X0 )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f61,f25]) ).
thf(f305,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ ( s @ X0 ) @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f61,f34]) ).
thf(f306,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f305]) ).
thf(f307,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f304]) ).
thf(f311,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ ( s @ X0 ) @ X1 )
= $true )
| ( ( s @ X0 )
= X1 )
| ( $true != $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f306,f25]) ).
thf(f315,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( s @ X0 )
= X1 )
| ( ( r @ ( s @ X0 ) @ X1 )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f311]) ).
thf(f318,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( r @ X1 @ z )
= $true )
| ( $true != $true )
| ( z = X1 )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f307,f34]) ).
thf(f320,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ X1 @ z )
= $true )
| ( z = X1 ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f318]) ).
thf(f367,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
= $true )
| ( z = X0 )
| ( $true != $true )
| ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( ( r @ ( s @ X1 ) @ X0 )
= $true )
| ( ( s @ X1 )
= X0 ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f315,f25]) ).
thf(f370,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( ( s @ X1 )
= X0 )
| ( ( r @ ( s @ X1 ) @ X0 )
= $true )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f367]) ).
thf(f379,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true != $true )
| ( ( r @ X0 @ z )
= $true )
| ( $true
= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_1
| spl0_3 ),
inference(constrained_superposition,[],[f85,f370]) ).
thf(f384,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_1
| spl0_3 ),
inference(trivial_inequality_removal,[],[f379]) ).
thf(f414,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ X1 ) )
!= $true )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ X1 ) )
= $true )
| ( ( s @ z )
= X0 )
| ( z = X1 ) )
| ~ spl0_1
| spl0_3 ),
inference(constrained_superposition,[],[f78,f384]) ).
thf(f424,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ X1 ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ X1 ) )
= $true )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ z )
= $true )
| ( z = X1 ) )
| ~ spl0_1
| spl0_3 ),
inference(trivial_inequality_removal,[],[f414]) ).
thf(f443,plain,
! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f71,f24]) ).
thf(f444,plain,
! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f71,f24]) ).
thf(f490,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true != $true )
| ( ( b @ X3 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f29,f443]) ).
thf(f491,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X3 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f490]) ).
thf(f500,definition,
( spl0_16
<=> ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
thf(f501,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| spl0_16 ),
inference(avatar_component_clause,[],[f500]) ).
thf(f503,definition,
( spl0_17
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
thf(f504,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f503]) ).
thf(f510,definition,
( spl0_18
<=> ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
thf(f511,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f510]) ).
thf(f525,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f271,f504]) ).
thf(f528,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( z
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_1
| spl0_3
| ~ spl0_17 ),
inference(constrained_superposition,[],[f424,f504]) ).
thf(f531,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f525]) ).
thf(f539,plain,
( ! [X0: $i] :
( ( ( s @ z )
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_1
| spl0_3
| ~ spl0_17 ),
inference(duplicate_literal_removal,[],[f528]) ).
thf(f540,plain,
( ! [X0: $i] :
( ( ( s @ z )
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( z
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_1
| spl0_3
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f539]) ).
thf(f544,definition,
( spl0_19
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
thf(f545,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f544]) ).
thf(f547,definition,
( spl0_20
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
thf(f548,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f547]) ).
thf(f549,plain,
( spl0_19
| spl0_20
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f531,f503,f547,f544]) ).
thf(f554,definition,
( spl0_22
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
thf(f555,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| spl0_22 ),
inference(avatar_component_clause,[],[f554]) ).
thf(f559,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( z
= ( s @ z ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_1
| spl0_3
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f540,f24]) ).
thf(f564,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_1
| spl0_3
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f559,f24]) ).
thf(f567,definition,
( spl0_23
<=> ! [X0: $i] :
( ( ( s @ z )
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
thf(f568,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f567]) ).
thf(f570,definition,
( spl0_24
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
thf(f571,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f570]) ).
thf(f574,definition,
( spl0_25
<=> ( ( s @ z )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
thf(f575,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f574]) ).
thf(f577,plain,
( spl0_19
| spl0_23
| ~ spl0_1
| spl0_3
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f564,f503,f84,f60,f567,f544]) ).
thf(f582,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| spl0_16 ),
inference(constrained_superposition,[],[f501,f34]) ).
thf(f584,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| spl0_16 ),
inference(trivial_inequality_removal,[],[f582]) ).
thf(f586,plain,
( spl0_18
| spl0_16 ),
inference(avatar_split_clause,[],[f584,f500,f510]) ).
thf(f635,plain,
! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) ),
inference(constrained_superposition,[],[f82,f444]) ).
thf(f639,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f192,f444]) ).
thf(f643,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) ),
inference(constrained_superposition,[],[f27,f444]) ).
thf(f647,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f643]) ).
thf(f649,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f639]) ).
thf(f651,plain,
! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f635]) ).
thf(f656,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f649,f131]) ).
thf(f658,definition,
( spl0_27
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
thf(f659,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f658]) ).
thf(f660,plain,
( spl0_27
| spl0_24 ),
inference(avatar_split_clause,[],[f651,f570,f658]) ).
thf(f665,definition,
( spl0_29
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
thf(f698,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f491,f656]) ).
thf(f713,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_6 ),
inference(duplicate_literal_removal,[],[f698]) ).
thf(f714,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f713]) ).
thf(f717,definition,
( spl0_31
<=> ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
thf(f718,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f717]) ).
thf(f720,definition,
( spl0_32
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
thf(f721,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f720]) ).
thf(f722,plain,
( spl0_31
| spl0_32
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f714,f130,f720,f717]) ).
thf(f726,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_6
| ~ spl0_32 ),
inference(constrained_superposition,[],[f721,f231]) ).
thf(f734,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_6
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f726]) ).
thf(f754,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X1 )
= ( s @ z ) )
| ( $true != $true )
| ( ( s @ X0 )
= ( s @ X1 ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_6
| ~ spl0_32 ),
inference(constrained_superposition,[],[f734,f231]) ).
thf(f757,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ X0 )
= ( s @ X1 ) )
| ( ( s @ X1 )
= ( s @ z ) ) )
| ~ spl0_6
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f754]) ).
thf(f833,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X1 )
= ( s @ z ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true != $true )
| ( ( s @ X0 )
= ( s @ X1 ) ) )
| ~ spl0_6
| ~ spl0_32 ),
inference(constrained_superposition,[],[f757,f231]) ).
thf(f836,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X1 )
= ( s @ z ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ X0 )
= ( s @ X1 ) ) )
| ~ spl0_6
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f833]) ).
thf(f904,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X1 )
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ X1 )
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_6
| ~ spl0_32 ),
inference(constrained_superposition,[],[f656,f836]) ).
thf(f1021,definition,
( spl0_33
<=> ! [X2: $i,X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( ( b @ X2 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
thf(f1022,plain,
( ! [X2: $i,X0: $i] :
( ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X2 @ X0 )
!= $true ) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f1021]) ).
thf(f1034,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X1 )
= ( s @ z ) )
| ( ( s @ X1 )
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_6
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f904,f30]) ).
thf(f1043,definition,
( spl0_38
<=> ! [X0: $i] :
( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
thf(f1044,plain,
( ! [X0: $i] :
( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f1043]) ).
thf(f1052,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| spl0_24 ),
inference(avatar_component_clause,[],[f570]) ).
thf(f1079,definition,
( spl0_45
<=> ! [X0: $i,X3: $i] :
( ( ( s @ z )
= ( s @ X3 ) )
| ( ( s @ ( s @ X0 ) )
= ( s @ X3 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
thf(f1080,plain,
( ! [X3: $i,X0: $i] :
( ( ( s @ ( s @ X0 ) )
= ( s @ X3 ) )
| ( ( s @ z )
= ( s @ X3 ) ) )
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f1079]) ).
thf(f1087,definition,
( spl0_47
<=> ! [X0: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
thf(f1088,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f1087]) ).
thf(f1102,definition,
( spl0_50
<=> ! [X2: $i,X0: $i,X3: $i] :
( ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ X3 ) )
| ( $true
!= ( b @ X3 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X2 @ X3 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
thf(f1103,plain,
( ! [X2: $i,X3: $i,X0: $i] :
( ( $true
!= ( b @ X3 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ X3 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f1102]) ).
thf(f1108,definition,
( spl0_51
<=> ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
thf(f1109,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f1108]) ).
thf(f1115,plain,
( spl0_45
| ~ spl0_6
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f1034,f720,f130,f1079]) ).
thf(f1153,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f554]) ).
thf(f1170,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_6
| ~ spl0_31 ),
inference(constrained_superposition,[],[f192,f718]) ).
thf(f1176,plain,
( ! [X0: $i] :
( $true
!= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_6
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f1170]) ).
thf(f1186,plain,
( $false
| ~ spl0_6
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f1176,f131]) ).
thf(f1187,plain,
( ~ spl0_6
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f1186]) ).
thf(f1194,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_1
| ~ spl0_24 ),
inference(constrained_superposition,[],[f320,f571]) ).
thf(f1197,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_24 ),
inference(constrained_superposition,[],[f41,f571]) ).
thf(f1199,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_24 ),
inference(constrained_superposition,[],[f29,f571]) ).
thf(f1200,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f1197]) ).
thf(f1202,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true ) )
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f1199]) ).
thf(f1205,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_1
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f1194]) ).
thf(f1207,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| spl0_7
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f1200,f135]) ).
thf(f1208,plain,
( spl0_50
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f1202,f570,f1102]) ).
thf(f1291,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true ) )
| spl0_7
| ~ spl0_24 ),
inference(constrained_superposition,[],[f1207,f571]) ).
thf(f1299,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true != $true ) )
| spl0_7
| ~ spl0_24 ),
inference(duplicate_literal_removal,[],[f1291]) ).
thf(f1300,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true ) )
| spl0_7
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f1299]) ).
thf(f1306,definition,
( spl0_57
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
thf(f1307,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f1306]) ).
thf(f1308,plain,
( ~ spl0_12
| spl0_57
| spl0_7
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f1300,f570,f134,f1306,f218]) ).
thf(f1620,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_19 ),
inference(avatar_component_clause,[],[f544]) ).
thf(f1629,plain,
( ( ( s @ z )
!= ( s @ ( s @ z ) ) )
| spl0_25 ),
inference(avatar_component_clause,[],[f574]) ).
thf(f1664,definition,
( spl0_69
<=> ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).
thf(f1665,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_69 ),
inference(avatar_component_clause,[],[f1664]) ).
thf(f1667,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_1
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f1205,f24]) ).
thf(f1680,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_1
| spl0_3
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f1667,f85]) ).
thf(f1683,plain,
( spl0_18
| ~ spl0_1
| spl0_3
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f1680,f570,f84,f60,f510]) ).
thf(f1707,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_4
| spl0_24 ),
inference(constrained_superposition,[],[f1052,f88]) ).
thf(f1709,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_4
| spl0_24 ),
inference(trivial_inequality_removal,[],[f1707]) ).
thf(f1713,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f665]) ).
thf(f1793,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_33 ),
inference(constrained_superposition,[],[f1022,f33]) ).
thf(f1796,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_33 ),
inference(trivial_inequality_removal,[],[f1793]) ).
thf(f1798,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| spl0_7
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f1796,f135]) ).
thf(f1801,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_4
| spl0_7
| ~ spl0_33 ),
inference(constrained_superposition,[],[f1798,f88]) ).
thf(f1803,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_4
| spl0_7
| ~ spl0_33 ),
inference(trivial_inequality_removal,[],[f1801]) ).
thf(f2181,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_6
| ~ spl0_45 ),
inference(constrained_superposition,[],[f656,f1080]) ).
thf(f2251,definition,
( spl0_80
<=> ! [X0: $i,X1: $i] :
( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).
thf(f2252,plain,
( ! [X0: $i,X1: $i] :
( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) ) )
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f2251]) ).
thf(f2253,plain,
( spl0_80
| spl0_25
| ~ spl0_6
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f2181,f1079,f130,f574,f2251]) ).
thf(f2723,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_25 ),
inference(constrained_superposition,[],[f74,f575]) ).
thf(f2802,definition,
( spl0_131
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).
thf(f2803,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f2802]) ).
thf(f2811,plain,
( ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f2723,f26]) ).
thf(f2842,plain,
( $false
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f2811,f30]) ).
thf(f2843,plain,
~ spl0_25,
inference(avatar_contradiction_clause,[],[f2842]) ).
thf(f2847,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_25 ),
inference(extensionality_resolution,[],[f71,f1629]) ).
thf(f2848,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_25 ),
inference(extensionality_resolution,[],[f71,f1629]) ).
thf(f2849,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| spl0_25 ),
inference(extensionality_resolution,[],[f78,f1629]) ).
thf(f2850,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| spl0_25 ),
inference(extensionality_resolution,[],[f78,f1629]) ).
thf(f2858,definition,
( spl0_136
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).
thf(f2859,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_136 ),
inference(avatar_component_clause,[],[f2858]) ).
thf(f2861,definition,
( spl0_137
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).
thf(f2862,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_137 ),
inference(avatar_component_clause,[],[f2861]) ).
thf(f2863,plain,
( spl0_136
| spl0_137
| spl0_25 ),
inference(avatar_split_clause,[],[f2850,f574,f2861,f2858]) ).
thf(f2865,definition,
( spl0_138
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).
thf(f2866,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_138 ),
inference(avatar_component_clause,[],[f2865]) ).
thf(f2868,definition,
( spl0_139
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).
thf(f2869,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_139 ),
inference(avatar_component_clause,[],[f2868]) ).
thf(f2870,plain,
( spl0_138
| spl0_139
| spl0_25 ),
inference(avatar_split_clause,[],[f2847,f574,f2868,f2865]) ).
thf(f2872,definition,
( spl0_140
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).
thf(f2873,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_140 ),
inference(avatar_component_clause,[],[f2872]) ).
thf(f2875,definition,
( spl0_141
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).
thf(f2876,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_141 ),
inference(avatar_component_clause,[],[f2875]) ).
thf(f2877,plain,
( spl0_140
| spl0_141
| spl0_25 ),
inference(avatar_split_clause,[],[f2848,f574,f2875,f2872]) ).
thf(f3893,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f27,f154]) ).
thf(f3895,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f3893]) ).
thf(f3896,plain,
( spl0_51
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f3895,f84,f1108]) ).
thf(f4261,definition,
( spl0_148
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).
thf(f4262,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_148 ),
inference(avatar_component_clause,[],[f4261]) ).
thf(f4264,definition,
( spl0_149
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).
thf(f4265,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_149 ),
inference(avatar_component_clause,[],[f4264]) ).
thf(f4266,plain,
( spl0_148
| spl0_149
| spl0_25 ),
inference(avatar_split_clause,[],[f2849,f574,f4264,f4261]) ).
thf(f4268,definition,
( spl0_150
<=> ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).
thf(f4269,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_150 ),
inference(avatar_component_clause,[],[f4268]) ).
thf(f4271,definition,
( spl0_151
<=> ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).
thf(f4272,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_151 ),
inference(avatar_component_clause,[],[f4271]) ).
thf(f4279,plain,
( ! [X0: $i] :
( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ~ spl0_4
| spl0_7
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f1803,f33]) ).
thf(f4280,plain,
( spl0_150
| ~ spl0_4
| spl0_24 ),
inference(avatar_split_clause,[],[f1709,f570,f87,f4268]) ).
thf(f4281,plain,
( spl0_6
| ~ spl0_4
| spl0_7
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f4279,f1021,f134,f87,f130]) ).
thf(f4286,definition,
( spl0_153
<=> ( ( b @ z @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).
thf(f4287,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| spl0_153 ),
inference(avatar_component_clause,[],[f4286]) ).
thf(f4293,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( z
= ( s @ z ) )
| spl0_153 ),
inference(constrained_superposition,[],[f4287,f25]) ).
thf(f4295,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| spl0_153 ),
inference(trivial_inequality_removal,[],[f4293]) ).
thf(f4298,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| spl0_153 ),
inference(forward_subsumption_resolution,[],[f4295,f24]) ).
thf(f4299,plain,
( $false
| spl0_7
| spl0_153 ),
inference(forward_subsumption_resolution,[],[f4298,f135]) ).
thf(f4300,plain,
( spl0_7
| spl0_153 ),
inference(avatar_contradiction_clause,[],[f4299]) ).
thf(f4321,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_19 ),
inference(constrained_superposition,[],[f1620,f25]) ).
thf(f4322,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_19 ),
inference(trivial_inequality_removal,[],[f4321]) ).
thf(f4323,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_19
| spl0_25 ),
inference(forward_subsumption_resolution,[],[f4322,f1629]) ).
thf(f4325,plain,
( spl0_29
| spl0_19
| spl0_25 ),
inference(avatar_split_clause,[],[f4323,f574,f544,f665]) ).
thf(f4406,definition,
( spl0_155
<=> ! [X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).
thf(f4407,plain,
( ! [X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ z @ X1 )
!= $true ) )
| ~ spl0_155 ),
inference(avatar_component_clause,[],[f4406]) ).
thf(f4452,plain,
( ( $true != $true )
| ~ spl0_80 ),
inference(constrained_superposition,[],[f30,f2252]) ).
thf(f4459,plain,
( $false
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f4452]) ).
thf(f4460,plain,
~ spl0_80,
inference(avatar_contradiction_clause,[],[f4459]) ).
thf(f4495,definition,
( spl0_160
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).
thf(f4496,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| spl0_160 ),
inference(avatar_component_clause,[],[f4495]) ).
thf(f4498,definition,
( spl0_161
<=> ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).
thf(f4499,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_161 ),
inference(avatar_component_clause,[],[f4498]) ).
thf(f4561,definition,
( spl0_163
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).
thf(f4562,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_163 ),
inference(avatar_component_clause,[],[f4561]) ).
thf(f4565,definition,
( spl0_164
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).
thf(f4566,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_164 ),
inference(avatar_component_clause,[],[f4565]) ).
thf(f4770,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_51 ),
inference(constrained_superposition,[],[f1109,f74]) ).
thf(f4774,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_51 ),
inference(trivial_inequality_removal,[],[f4770]) ).
thf(f4904,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_19
| ~ spl0_32 ),
inference(constrained_superposition,[],[f721,f545]) ).
thf(f4915,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_19
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f4904]) ).
thf(f4918,plain,
( spl0_57
| ~ spl0_19
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f4915,f720,f544,f1306]) ).
thf(f5053,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ z )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_139 ),
inference(constrained_superposition,[],[f46,f2869]) ).
thf(f5060,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_139 ),
inference(trivial_inequality_removal,[],[f5053]) ).
thf(f5069,definition,
( spl0_170
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).
thf(f5070,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_170 ),
inference(avatar_component_clause,[],[f5069]) ).
thf(f5075,definition,
( spl0_171
<=> ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).
thf(f5076,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_171 ),
inference(avatar_component_clause,[],[f5075]) ).
thf(f5077,plain,
( ~ spl0_160
| spl0_171
| spl0_161
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f5060,f2868,f4498,f5075,f4495]) ).
thf(f5080,definition,
( spl0_172
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).
thf(f5081,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| ~ spl0_172 ),
inference(avatar_component_clause,[],[f5080]) ).
thf(f5088,definition,
( spl0_174
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).
thf(f5089,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_174 ),
inference(avatar_component_clause,[],[f5088]) ).
thf(f5153,definition,
( spl0_178
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).
thf(f5154,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_178 ),
inference(avatar_component_clause,[],[f5153]) ).
thf(f5155,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| spl0_131 ),
inference(avatar_component_clause,[],[f2802]) ).
thf(f5195,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_13
| ~ spl0_19 ),
inference(constrained_superposition,[],[f222,f545]) ).
thf(f5200,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_13
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f5195]) ).
thf(f5203,plain,
( ~ spl0_69
| ~ spl0_16
| ~ spl0_13
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f5200,f544,f221,f500,f1664]) ).
thf(f5210,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_140
| ~ spl0_149 ),
inference(constrained_superposition,[],[f4265,f2873]) ).
thf(f5215,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_140
| ~ spl0_149 ),
inference(trivial_inequality_removal,[],[f5210]) ).
thf(f5216,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_140
| ~ spl0_149 ),
inference(constrained_superposition,[],[f5215,f444]) ).
thf(f5219,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_140
| ~ spl0_149 ),
inference(trivial_inequality_removal,[],[f5216]) ).
thf(f5224,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_140
| ~ spl0_149 ),
inference(constrained_superposition,[],[f41,f5219]) ).
thf(f5229,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_140
| ~ spl0_149 ),
inference(trivial_inequality_removal,[],[f5224]) ).
thf(f5235,definition,
( spl0_179
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).
thf(f5236,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_179 ),
inference(avatar_component_clause,[],[f5235]) ).
thf(f5237,plain,
( spl0_171
| spl0_179
| ~ spl0_140
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f5229,f4264,f2872,f5235,f5075]) ).
thf(f5241,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ z )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_148 ),
inference(constrained_superposition,[],[f46,f4262]) ).
thf(f5245,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ z )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_148 ),
inference(trivial_inequality_removal,[],[f5241]) ).
thf(f5251,plain,
( spl0_155
| ~ spl0_16
| spl0_163
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f5245,f4261,f4561,f500,f4406]) ).
thf(f5253,definition,
( spl0_180
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_180])],[avatar_definition]) ).
thf(f5254,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_180 ),
inference(avatar_component_clause,[],[f5253]) ).
thf(f5257,definition,
( spl0_181
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_181])],[avatar_definition]) ).
thf(f5258,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_181 ),
inference(avatar_component_clause,[],[f5257]) ).
thf(f5260,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_137
| ~ spl0_180 ),
inference(constrained_superposition,[],[f2862,f5254]) ).
thf(f5265,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_137
| ~ spl0_180 ),
inference(trivial_inequality_removal,[],[f5260]) ).
thf(f5302,definition,
( spl0_182
<=> ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_182])],[avatar_definition]) ).
thf(f5303,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_182 ),
inference(avatar_component_clause,[],[f5302]) ).
thf(f5305,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_182 ),
inference(constrained_superposition,[],[f5303,f33]) ).
thf(f5308,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_182 ),
inference(trivial_inequality_removal,[],[f5305]) ).
thf(f5310,plain,
( spl0_163
| spl0_182 ),
inference(avatar_split_clause,[],[f5308,f5302,f4561]) ).
thf(f5435,definition,
( spl0_184
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_184])],[avatar_definition]) ).
thf(f5436,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_184 ),
inference(avatar_component_clause,[],[f5435]) ).
thf(f5439,definition,
( spl0_185
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_185])],[avatar_definition]) ).
thf(f5440,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_185 ),
inference(avatar_component_clause,[],[f5439]) ).
thf(f5442,definition,
( spl0_186
<=> ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_186])],[avatar_definition]) ).
thf(f5443,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_186 ),
inference(avatar_component_clause,[],[f5442]) ).
thf(f5445,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| spl0_185 ),
inference(constrained_superposition,[],[f5440,f34]) ).
thf(f5447,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| spl0_185 ),
inference(trivial_inequality_removal,[],[f5445]) ).
thf(f5514,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_69 ),
inference(constrained_superposition,[],[f1665,f25]) ).
thf(f5515,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_69 ),
inference(trivial_inequality_removal,[],[f5514]) ).
thf(f5517,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_69 ),
inference(forward_subsumption_resolution,[],[f5515,f24]) ).
thf(f5520,plain,
( $false
| spl0_69
| ~ spl0_137
| ~ spl0_180 ),
inference(forward_subsumption_resolution,[],[f5517,f5265]) ).
thf(f5521,plain,
( spl0_69
| ~ spl0_137
| ~ spl0_180 ),
inference(avatar_contradiction_clause,[],[f5520]) ).
thf(f5522,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| spl0_160 ),
inference(constrained_superposition,[],[f4496,f34]) ).
thf(f5524,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_160 ),
inference(trivial_inequality_removal,[],[f5522]) ).
thf(f5542,plain,
( ! [X0: $i] :
( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ~ spl0_20
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[],[f548,f1109]) ).
thf(f5543,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_20
| ~ spl0_51 ),
inference(constrained_superposition,[],[f5542,f74]) ).
thf(f5546,plain,
( ! [X0: $i] :
( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_20
| ~ spl0_51 ),
inference(trivial_inequality_removal,[],[f5543]) ).
thf(f5596,plain,
( spl0_180
| spl0_160 ),
inference(avatar_split_clause,[],[f5524,f4495,f5253]) ).
thf(f5598,definition,
( spl0_187
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_187])],[avatar_definition]) ).
thf(f5599,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_187 ),
inference(avatar_component_clause,[],[f5598]) ).
thf(f5609,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_69 ),
inference(constrained_superposition,[],[f1665,f33]) ).
thf(f5611,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_69 ),
inference(trivial_inequality_removal,[],[f5609]) ).
thf(f5613,plain,
( spl0_150
| spl0_69 ),
inference(avatar_split_clause,[],[f5611,f1664,f4268]) ).
thf(f5779,plain,
( spl0_174
| spl0_185 ),
inference(avatar_split_clause,[],[f5447,f5439,f5088]) ).
thf(f5819,definition,
( spl0_189
<=> ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_189])],[avatar_definition]) ).
thf(f5820,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_189 ),
inference(avatar_component_clause,[],[f5819]) ).
thf(f5844,definition,
( spl0_190
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_190])],[avatar_definition]) ).
thf(f5847,definition,
( spl0_191
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_191])],[avatar_definition]) ).
thf(f5848,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_191 ),
inference(avatar_component_clause,[],[f5847]) ).
thf(f6047,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_141
| ~ spl0_186 ),
inference(constrained_superposition,[],[f5443,f2876]) ).
thf(f6053,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_141
| ~ spl0_186 ),
inference(trivial_inequality_removal,[],[f6047]) ).
thf(f6059,plain,
( ~ spl0_182
| ~ spl0_160
| ~ spl0_141
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f6053,f5442,f2875,f4495,f5302]) ).
thf(f6109,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_141 ),
inference(constrained_superposition,[],[f46,f2876]) ).
thf(f6113,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_141 ),
inference(trivial_inequality_removal,[],[f6109]) ).
thf(f6127,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_27
| ~ spl0_131 ),
inference(constrained_superposition,[],[f659,f2803]) ).
thf(f6132,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_27
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f6127]) ).
thf(f6134,plain,
( spl0_148
| ~ spl0_27
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f6132,f2802,f658,f4261]) ).
thf(f6220,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| spl0_189 ),
inference(constrained_superposition,[],[f5820,f33]) ).
thf(f6223,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_189 ),
inference(trivial_inequality_removal,[],[f6220]) ).
thf(f6300,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_191 ),
inference(avatar_component_clause,[],[f5847]) ).
thf(f6340,plain,
( spl0_38
| ~ spl0_20
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f5546,f1108,f547,f1043]) ).
thf(f6390,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_131 ),
inference(constrained_superposition,[],[f5155,f73]) ).
thf(f6392,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_131 ),
inference(trivial_inequality_removal,[],[f6390]) ).
thf(f6585,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_136 ),
inference(avatar_component_clause,[],[f2858]) ).
thf(f6591,definition,
( spl0_199
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_199])],[avatar_definition]) ).
thf(f6592,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_199 ),
inference(avatar_component_clause,[],[f6591]) ).
thf(f6608,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_164 ),
inference(constrained_superposition,[],[f4566,f33]) ).
thf(f6614,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_164 ),
inference(trivial_inequality_removal,[],[f6608]) ).
thf(f6621,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_199 ),
inference(constrained_superposition,[],[f6592,f443]) ).
thf(f6623,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| spl0_199 ),
inference(constrained_superposition,[],[f6592,f25]) ).
thf(f6624,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_199 ),
inference(trivial_inequality_removal,[],[f6621]) ).
thf(f6625,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_199 ),
inference(trivial_inequality_removal,[],[f6623]) ).
thf(f6752,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_33 ),
inference(constrained_superposition,[],[f1022,f33]) ).
thf(f6760,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_33 ),
inference(trivial_inequality_removal,[],[f6752]) ).
thf(f6761,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| spl0_7
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f6760,f135]) ).
thf(f6766,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_7
| ~ spl0_24
| ~ spl0_33 ),
inference(constrained_superposition,[],[f6761,f571]) ).
thf(f6768,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_7
| ~ spl0_24
| ~ spl0_33 ),
inference(trivial_inequality_removal,[],[f6766]) ).
thf(f6772,plain,
( ~ spl0_69
| spl0_7
| ~ spl0_24
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f6768,f1021,f570,f134,f1664]) ).
thf(f6773,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| spl0_24 ),
inference(constrained_superposition,[],[f1052,f25]) ).
thf(f6774,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_24 ),
inference(trivial_inequality_removal,[],[f6773]) ).
thf(f6775,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| spl0_24
| spl0_25 ),
inference(forward_subsumption_resolution,[],[f6774,f1629]) ).
thf(f6776,plain,
( spl0_22
| spl0_24
| spl0_25 ),
inference(avatar_split_clause,[],[f6775,f574,f570,f554]) ).
thf(f6850,plain,
( spl0_191
| spl0_131 ),
inference(avatar_split_clause,[],[f6392,f2802,f5847]) ).
thf(f6856,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| spl0_18 ),
inference(avatar_component_clause,[],[f510]) ).
thf(f6862,definition,
( spl0_205
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_205])],[avatar_definition]) ).
thf(f6863,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_205 ),
inference(avatar_component_clause,[],[f6862]) ).
thf(f6871,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_18
| ~ spl0_51 ),
inference(constrained_superposition,[],[f4774,f511]) ).
thf(f6872,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f82,f511]) ).
thf(f6874,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f27,f511]) ).
thf(f6876,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_18
| ~ spl0_51 ),
inference(trivial_inequality_removal,[],[f6871]) ).
thf(f6877,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f6874]) ).
thf(f6878,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f6872]) ).
thf(f6879,plain,
( spl0_19
| ~ spl0_18
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f6876,f1108,f510,f544]) ).
thf(f6888,plain,
( ~ spl0_69
| spl0_163
| spl0_155
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f6614,f4565,f4406,f4561,f1664]) ).
thf(f6889,plain,
( spl0_171
| spl0_189 ),
inference(avatar_split_clause,[],[f6223,f5819,f5075]) ).
thf(f6894,plain,
( spl0_186
| spl0_163
| ~ spl0_185
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f6113,f2875,f5439,f4561,f5442]) ).
thf(f6905,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_19
| ~ spl0_50 ),
inference(constrained_superposition,[],[f1103,f545]) ).
thf(f6918,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_19
| ~ spl0_50 ),
inference(duplicate_literal_removal,[],[f6905]) ).
thf(f6919,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_19
| ~ spl0_50 ),
inference(trivial_inequality_removal,[],[f6918]) ).
thf(f6930,plain,
( spl0_33
| ~ spl0_19
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f6919,f1102,f544,f1021]) ).
thf(f6945,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_163 ),
inference(constrained_superposition,[],[f647,f4562]) ).
thf(f6946,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_163 ),
inference(constrained_superposition,[],[f271,f4562]) ).
thf(f6949,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_163 ),
inference(trivial_inequality_removal,[],[f6946]) ).
thf(f6950,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_163 ),
inference(trivial_inequality_removal,[],[f6945]) ).
thf(f6952,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_18
| ~ spl0_163 ),
inference(forward_subsumption_resolution,[],[f6950,f511]) ).
thf(f6954,plain,
( spl0_148
| ~ spl0_18
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f6952,f4561,f510,f4261]) ).
thf(f6956,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_51
| ~ spl0_180 ),
inference(constrained_superposition,[],[f4774,f5254]) ).
thf(f6959,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_180 ),
inference(constrained_superposition,[],[f27,f5254]) ).
thf(f6961,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_180 ),
inference(trivial_inequality_removal,[],[f6959]) ).
thf(f6962,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_51
| ~ spl0_180 ),
inference(trivial_inequality_removal,[],[f6956]) ).
thf(f6965,plain,
( spl0_205
| ~ spl0_51
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f6962,f5253,f1108,f6862]) ).
thf(f7090,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f6877,f444]) ).
thf(f7093,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f6877,f73]) ).
thf(f7094,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ z )
= X0 )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
!= $true ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f6877,f35]) ).
thf(f7095,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
= $true ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f7094]) ).
thf(f7096,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f7090]) ).
thf(f7097,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f7093]) ).
thf(f7107,definition,
( spl0_207
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_207])],[avatar_definition]) ).
thf(f7108,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_207 ),
inference(avatar_component_clause,[],[f7107]) ).
thf(f7128,plain,
( spl0_205
| ~ spl0_3
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f6949,f4561,f84,f6862]) ).
thf(f7158,plain,
( spl0_170
| spl0_199 ),
inference(avatar_split_clause,[],[f6624,f6591,f5069]) ).
thf(f7162,definition,
( spl0_211
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_211])],[avatar_definition]) ).
thf(f7163,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_211 ),
inference(avatar_component_clause,[],[f7162]) ).
thf(f7174,definition,
( spl0_212
<=> ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_212])],[avatar_definition]) ).
thf(f7175,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_212 ),
inference(avatar_component_clause,[],[f7174]) ).
thf(f7176,plain,
( spl0_212
| spl0_170
| spl0_199 ),
inference(avatar_split_clause,[],[f6625,f6591,f5069,f7174]) ).
thf(f7187,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_174 ),
inference(constrained_superposition,[],[f27,f5089]) ).
thf(f7189,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_174 ),
inference(trivial_inequality_removal,[],[f7187]) ).
thf(f7191,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_180
| ~ spl0_181 ),
inference(constrained_superposition,[],[f6961,f5258]) ).
thf(f7195,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_181 ),
inference(constrained_superposition,[],[f27,f5258]) ).
thf(f7199,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f7195]) ).
thf(f7200,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_180
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f7191]) ).
thf(f7201,plain,
( spl0_137
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f7199,f5257,f2861]) ).
thf(f7202,plain,
( $false
| ~ spl0_18
| ~ spl0_180
| ~ spl0_181 ),
inference(forward_subsumption_resolution,[],[f7200,f511]) ).
thf(f7203,plain,
( ~ spl0_18
| ~ spl0_180
| ~ spl0_181 ),
inference(avatar_contradiction_clause,[],[f7202]) ).
thf(f7270,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_170 ),
inference(constrained_superposition,[],[f82,f5070]) ).
thf(f7276,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_170 ),
inference(trivial_inequality_removal,[],[f7270]) ).
thf(f7278,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_22
| ~ spl0_170 ),
inference(forward_subsumption_resolution,[],[f7276,f1153]) ).
thf(f7279,plain,
( spl0_178
| ~ spl0_22
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f7278,f5069,f554,f5153]) ).
thf(f7332,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( z = X0 )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f61,f25]) ).
thf(f7333,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ ( s @ X0 ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f61,f34]) ).
thf(f7334,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f7332]) ).
thf(f7335,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f7333]) ).
thf(f7345,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_170
| ~ spl0_174 ),
inference(constrained_superposition,[],[f7189,f5070]) ).
thf(f7350,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_170
| ~ spl0_174 ),
inference(trivial_inequality_removal,[],[f7345]) ).
thf(f7352,plain,
( $false
| ~ spl0_18
| ~ spl0_170
| ~ spl0_174 ),
inference(forward_subsumption_resolution,[],[f7350,f511]) ).
thf(f7353,plain,
( ~ spl0_18
| ~ spl0_170
| ~ spl0_174 ),
inference(avatar_contradiction_clause,[],[f7352]) ).
thf(f7355,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_137 ),
inference(constrained_superposition,[],[f2862,f73]) ).
thf(f7357,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_137 ),
inference(trivial_inequality_removal,[],[f7355]) ).
thf(f7400,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ~ spl0_1
| ~ spl0_205 ),
inference(constrained_superposition,[],[f7335,f6863]) ).
thf(f7401,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ ( s @ X0 ) @ X1 )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= X1 ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f7335,f25]) ).
thf(f7410,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ~ spl0_1
| ~ spl0_205 ),
inference(trivial_inequality_removal,[],[f7400]) ).
thf(f7414,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ ( s @ X0 ) @ X1 )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= X1 ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f7401]) ).
thf(f7420,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_138 ),
inference(constrained_superposition,[],[f647,f2866]) ).
thf(f7425,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_138 ),
inference(trivial_inequality_removal,[],[f7420]) ).
thf(f7431,definition,
( spl0_216
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_216])],[avatar_definition]) ).
thf(f7433,plain,
( ~ spl0_216
| spl0_187
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f7425,f2865,f5598,f7431]) ).
thf(f7435,definition,
( spl0_217
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_217])],[avatar_definition]) ).
thf(f7553,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_29
| ~ spl0_137 ),
inference(forward_subsumption_resolution,[],[f7357,f1713]) ).
thf(f7559,plain,
( spl0_191
| ~ spl0_29
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f7553,f2861,f665,f5847]) ).
thf(f7627,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_32
| ~ spl0_136 ),
inference(constrained_superposition,[],[f721,f2859]) ).
thf(f7628,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_32
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f7627]) ).
thf(f7636,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_32
| ~ spl0_136
| ~ spl0_141 ),
inference(constrained_superposition,[],[f7628,f2876]) ).
thf(f7644,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_32
| ~ spl0_136
| ~ spl0_141 ),
inference(trivial_inequality_removal,[],[f7636]) ).
thf(f7646,plain,
( ~ spl0_199
| ~ spl0_32
| ~ spl0_136
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f7644,f2875,f2858,f720,f6591]) ).
thf(f7648,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_1
| spl0_3
| ~ spl0_205 ),
inference(forward_subsumption_resolution,[],[f7410,f85]) ).
thf(f7651,plain,
( ~ spl0_160
| ~ spl0_1
| spl0_3
| ~ spl0_205 ),
inference(avatar_split_clause,[],[f7648,f6862,f84,f60,f4495]) ).
thf(f7666,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_174 ),
inference(constrained_superposition,[],[f27,f5089]) ).
thf(f7669,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_174 ),
inference(trivial_inequality_removal,[],[f7666]) ).
thf(f7670,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_1
| ~ spl0_191 ),
inference(constrained_superposition,[],[f7335,f5848]) ).
thf(f7678,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_1
| ~ spl0_191 ),
inference(trivial_inequality_removal,[],[f7670]) ).
thf(f7683,plain,
( spl0_180
| ~ spl0_12
| ~ spl0_1
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f7678,f5847,f60,f218,f5253]) ).
thf(f7759,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_180 ),
inference(constrained_superposition,[],[f27,f5254]) ).
thf(f7760,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_180 ),
inference(trivial_inequality_removal,[],[f7759]) ).
thf(f7850,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_136
| ~ spl0_151 ),
inference(constrained_superposition,[],[f4272,f2859]) ).
thf(f7853,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_136
| ~ spl0_151 ),
inference(trivial_inequality_removal,[],[f7850]) ).
thf(f7858,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_155
| ~ spl0_187 ),
inference(constrained_superposition,[],[f4407,f5599]) ).
thf(f7868,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_155
| ~ spl0_187 ),
inference(trivial_inequality_removal,[],[f7858]) ).
thf(f7880,plain,
( ~ spl0_185
| ~ spl0_189
| ~ spl0_155
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f7868,f5598,f4406,f5819,f5439]) ).
thf(f7911,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_138
| ~ spl0_180 ),
inference(constrained_superposition,[],[f7760,f2866]) ).
thf(f7918,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_138
| ~ spl0_180 ),
inference(trivial_inequality_removal,[],[f7911]) ).
thf(f7925,plain,
( $false
| ~ spl0_138
| ~ spl0_174
| ~ spl0_180 ),
inference(forward_subsumption_resolution,[],[f7918,f5089]) ).
thf(f7926,plain,
( ~ spl0_138
| ~ spl0_174
| ~ spl0_180 ),
inference(avatar_contradiction_clause,[],[f7925]) ).
thf(f7959,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_140
| ~ spl0_174 ),
inference(constrained_superposition,[],[f7669,f2873]) ).
thf(f7964,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_140
| ~ spl0_174 ),
inference(trivial_inequality_removal,[],[f7959]) ).
thf(f7967,plain,
( $false
| ~ spl0_140
| ~ spl0_174
| ~ spl0_180 ),
inference(forward_subsumption_resolution,[],[f7964,f5254]) ).
thf(f7968,plain,
( ~ spl0_140
| ~ spl0_174
| ~ spl0_180 ),
inference(avatar_contradiction_clause,[],[f7967]) ).
thf(f8042,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_207 ),
inference(avatar_component_clause,[],[f7107]) ).
thf(f8222,definition,
( spl0_223
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_223])],[avatar_definition]) ).
thf(f8223,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_223 ),
inference(avatar_component_clause,[],[f8222]) ).
thf(f8226,definition,
( spl0_224
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_224])],[avatar_definition]) ).
thf(f8227,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_224 ),
inference(avatar_component_clause,[],[f8226]) ).
thf(f8229,definition,
( spl0_225
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_225])],[avatar_definition]) ).
thf(f8230,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_225 ),
inference(avatar_component_clause,[],[f8229]) ).
thf(f8265,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_225 ),
inference(constrained_superposition,[],[f444,f8230]) ).
thf(f8303,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_225 ),
inference(forward_subsumption_resolution,[],[f8265,f30]) ).
thf(f8311,plain,
( $false
| ~ spl0_225 ),
inference(forward_subsumption_resolution,[],[f8303,f26]) ).
thf(f8312,plain,
~ spl0_225,
inference(avatar_contradiction_clause,[],[f8311]) ).
thf(f8314,plain,
( ~ spl0_160
| ~ spl0_136
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f7853,f4271,f2858,f4495]) ).
thf(f8318,plain,
( ~ spl0_7
| spl0_24
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f6878,f510,f570,f134]) ).
thf(f8319,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_7 ),
inference(constrained_superposition,[],[f27,f145]) ).
thf(f8320,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f8319]) ).
thf(f8321,plain,
( spl0_47
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f8320,f134,f1087]) ).
thf(f8363,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true != $true ) )
| ~ spl0_47 ),
inference(constrained_superposition,[],[f1088,f73]) ).
thf(f8368,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_47 ),
inference(trivial_inequality_removal,[],[f8363]) ).
thf(f8432,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_1
| ~ spl0_141 ),
inference(constrained_superposition,[],[f7335,f2876]) ).
thf(f8442,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_1
| ~ spl0_141 ),
inference(trivial_inequality_removal,[],[f8432]) ).
thf(f8473,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_139
| ~ spl0_161 ),
inference(constrained_superposition,[],[f4499,f2869]) ).
thf(f8478,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_139
| ~ spl0_161 ),
inference(trivial_inequality_removal,[],[f8473]) ).
thf(f8487,plain,
( ~ spl0_160
| spl0_174
| ~ spl0_1
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f8442,f2875,f60,f5088,f4495]) ).
thf(f8490,plain,
( ~ spl0_189
| ~ spl0_185
| ~ spl0_139
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f8478,f4498,f2868,f5439,f5819]) ).
thf(f8503,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_47
| ~ spl0_163 ),
inference(constrained_superposition,[],[f8368,f4562]) ).
thf(f8507,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_47
| ~ spl0_163 ),
inference(trivial_inequality_removal,[],[f8503]) ).
thf(f8511,plain,
( spl0_191
| ~ spl0_47
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f8507,f4561,f1087,f5847]) ).
thf(f8513,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_18
| ~ spl0_180 ),
inference(constrained_superposition,[],[f7096,f5254]) ).
thf(f8518,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_18
| ~ spl0_180 ),
inference(trivial_inequality_removal,[],[f8513]) ).
thf(f8521,plain,
( spl0_148
| ~ spl0_18
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f8518,f5253,f510,f4261]) ).
thf(f8524,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_47
| ~ spl0_171 ),
inference(constrained_superposition,[],[f8368,f5076]) ).
thf(f8528,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_47
| ~ spl0_171 ),
inference(trivial_inequality_removal,[],[f8524]) ).
thf(f8532,plain,
( spl0_178
| ~ spl0_47
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f8528,f5075,f1087,f5153]) ).
thf(f8582,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_148 ),
inference(constrained_superposition,[],[f491,f4262]) ).
thf(f8592,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_148 ),
inference(duplicate_literal_removal,[],[f8582]) ).
thf(f8593,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_148 ),
inference(trivial_inequality_removal,[],[f8592]) ).
thf(f8598,plain,
( spl0_32
| spl0_181
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f8593,f4261,f5257,f720]) ).
thf(f8627,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_170 ),
inference(constrained_superposition,[],[f271,f5070]) ).
thf(f8633,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_170 ),
inference(trivial_inequality_removal,[],[f8627]) ).
thf(f8636,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_19
| ~ spl0_170 ),
inference(forward_subsumption_resolution,[],[f8633,f1620]) ).
thf(f8637,plain,
( $false
| spl0_19
| ~ spl0_170
| ~ spl0_224 ),
inference(forward_subsumption_resolution,[],[f8636,f8227]) ).
thf(f8638,plain,
( spl0_19
| ~ spl0_170
| ~ spl0_224 ),
inference(avatar_contradiction_clause,[],[f8637]) ).
thf(f8654,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_138 ),
inference(constrained_superposition,[],[f82,f2866]) ).
thf(f8658,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_138 ),
inference(constrained_superposition,[],[f27,f2866]) ).
thf(f8660,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_138 ),
inference(trivial_inequality_removal,[],[f8658]) ).
thf(f8663,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_138 ),
inference(trivial_inequality_removal,[],[f8654]) ).
thf(f8670,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_140 ),
inference(constrained_superposition,[],[f27,f2873]) ).
thf(f8671,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_140 ),
inference(trivial_inequality_removal,[],[f8670]) ).
thf(f8755,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_57 ),
inference(constrained_superposition,[],[f1307,f443]) ).
thf(f8756,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_57
| ~ spl0_136 ),
inference(constrained_superposition,[],[f1307,f2859]) ).
thf(f8761,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_57
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f8756]) ).
thf(f8763,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_57 ),
inference(trivial_inequality_removal,[],[f8755]) ).
thf(f8766,plain,
( spl0_191
| ~ spl0_190
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f8663,f2865,f5844,f5847]) ).
thf(f8768,plain,
( ~ spl0_191
| ~ spl0_57
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f8761,f2858,f1306,f5847]) ).
thf(f8772,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_47
| ~ spl0_150 ),
inference(constrained_superposition,[],[f8368,f4269]) ).
thf(f8774,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_150 ),
inference(constrained_superposition,[],[f27,f4269]) ).
thf(f8775,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_47
| ~ spl0_150 ),
inference(trivial_inequality_removal,[],[f8772]) ).
thf(f8776,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_150 ),
inference(trivial_inequality_removal,[],[f8774]) ).
thf(f8783,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_131 ),
inference(constrained_superposition,[],[f78,f2803]) ).
thf(f8785,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_131 ),
inference(constrained_superposition,[],[f27,f2803]) ).
thf(f8786,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ X0 ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f8783]) ).
thf(f8789,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f8785]) ).
thf(f8808,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ X0 ) )
!= $true )
| ( ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ z )
= X0 )
| ( $true != $true ) )
| ~ spl0_150 ),
inference(constrained_superposition,[],[f8776,f35]) ).
thf(f8809,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_150 ),
inference(constrained_superposition,[],[f8776,f74]) ).
thf(f8811,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_150 ),
inference(trivial_inequality_removal,[],[f8809]) ).
thf(f8813,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ X0 ) )
!= $true )
| ( ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_150 ),
inference(trivial_inequality_removal,[],[f8808]) ).
thf(f8828,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_131 ),
inference(constrained_superposition,[],[f8789,f35]) ).
thf(f8834,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) )
= $true ) )
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f8828]) ).
thf(f8866,plain,
( ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_223 ),
inference(constrained_superposition,[],[f74,f8223]) ).
thf(f8923,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_223 ),
inference(forward_subsumption_resolution,[],[f8866,f30]) ).
thf(f8938,plain,
( $false
| ~ spl0_223 ),
inference(forward_subsumption_resolution,[],[f8923,f26]) ).
thf(f8939,plain,
~ spl0_223,
inference(avatar_contradiction_clause,[],[f8938]) ).
thf(f8943,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_33 ),
inference(constrained_superposition,[],[f1022,f25]) ).
thf(f8945,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_33
| ~ spl0_178 ),
inference(constrained_superposition,[],[f1022,f5154]) ).
thf(f8946,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_24
| ~ spl0_33 ),
inference(constrained_superposition,[],[f1022,f571]) ).
thf(f8947,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true ) )
| ~ spl0_33 ),
inference(trivial_inequality_removal,[],[f8943]) ).
thf(f8948,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_33
| ~ spl0_178 ),
inference(trivial_inequality_removal,[],[f8945]) ).
thf(f8949,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_24
| ~ spl0_33 ),
inference(trivial_inequality_removal,[],[f8946]) ).
thf(f8955,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_24
| ~ spl0_33 ),
inference(constrained_superposition,[],[f8949,f25]) ).
thf(f8957,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_24
| ~ spl0_33 ),
inference(trivial_inequality_removal,[],[f8955]) ).
thf(f8962,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_33
| ~ spl0_178 ),
inference(constrained_superposition,[],[f8948,f443]) ).
thf(f8970,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_33
| ~ spl0_178 ),
inference(trivial_inequality_removal,[],[f8962]) ).
thf(f8971,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_24
| ~ spl0_33
| ~ spl0_178 ),
inference(forward_subsumption_resolution,[],[f8970,f571]) ).
thf(f8972,plain,
( spl0_170
| ~ spl0_24
| ~ spl0_33
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f8971,f5153,f1021,f570,f5069]) ).
thf(f8975,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_150
| ~ spl0_170 ),
inference(constrained_superposition,[],[f8776,f5070]) ).
thf(f8980,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_150
| ~ spl0_170 ),
inference(trivial_inequality_removal,[],[f8975]) ).
thf(f8994,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_138 ),
inference(constrained_superposition,[],[f8660,f444]) ).
thf(f8999,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_138 ),
inference(trivial_inequality_removal,[],[f8994]) ).
thf(f9003,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_140 ),
inference(constrained_superposition,[],[f8671,f73]) ).
thf(f9005,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_140 ),
inference(trivial_inequality_removal,[],[f9003]) ).
thf(f9010,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_32 ),
inference(constrained_superposition,[],[f721,f33]) ).
thf(f9012,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_32 ),
inference(constrained_superposition,[],[f721,f443]) ).
thf(f9013,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_32
| ~ spl0_136 ),
inference(constrained_superposition,[],[f721,f2859]) ).
thf(f9018,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f9010]) ).
thf(f9019,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f9012]) ).
thf(f9020,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_32
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f9013]) ).
thf(f9021,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_32
| ~ spl0_136 ),
inference(constrained_superposition,[],[f9020,f25]) ).
thf(f9030,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_32
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f9021]) ).
thf(f9051,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_57
| ~ spl0_178 ),
inference(constrained_superposition,[],[f8763,f5154]) ).
thf(f9053,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_57
| ~ spl0_178 ),
inference(trivial_inequality_removal,[],[f9051]) ).
thf(f9126,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_205 ),
inference(avatar_component_clause,[],[f6862]) ).
thf(f9130,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_217 ),
inference(avatar_component_clause,[],[f7435]) ).
thf(f9136,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_217 ),
inference(constrained_superposition,[],[f27,f9130]) ).
thf(f9138,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_217 ),
inference(trivial_inequality_removal,[],[f9136]) ).
thf(f9142,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ X0 ) )
!= $true )
| ( $true
= ( b @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true ) )
| ~ spl0_217 ),
inference(constrained_superposition,[],[f9138,f35]) ).
thf(f9149,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ X0 ) )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( b @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_217 ),
inference(trivial_inequality_removal,[],[f9142]) ).
thf(f9327,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_172 ),
inference(constrained_superposition,[],[f5081,f33]) ).
thf(f9332,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_172 ),
inference(trivial_inequality_removal,[],[f9327]) ).
thf(f9690,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_184 ),
inference(constrained_superposition,[],[f5436,f33]) ).
thf(f9695,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f9690]) ).
thf(f9697,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_150
| ~ spl0_170
| ~ spl0_184 ),
inference(forward_subsumption_resolution,[],[f9695,f8980]) ).
thf(f9698,plain,
( spl0_186
| ~ spl0_182
| ~ spl0_150
| ~ spl0_170
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f9697,f5435,f5069,f4268,f5302,f5442]) ).
thf(f10193,definition,
( spl0_232
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_232])],[avatar_definition]) ).
thf(f10194,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_232 ),
inference(avatar_component_clause,[],[f10193]) ).
thf(f10623,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
= $true )
| ( z = X1 )
| ( ( b @ X1 @ X0 )
!= $true )
| ( z = X0 )
| ( ( r @ X1 @ z )
= $true )
| ( $true != $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f7334,f25]) ).
thf(f10624,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( z = X1 ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f7334,f34]) ).
thf(f10625,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( r @ X1 @ z )
= $true )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 )
| ( z = X1 ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f10623]) ).
thf(f10626,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( r @ X1 @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X1 ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f10624]) ).
thf(f10629,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_23
| ~ spl0_131 ),
inference(constrained_superposition,[],[f8789,f568]) ).
thf(f10642,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_23
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f10629]) ).
thf(f10649,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_7
| ~ spl0_23
| ~ spl0_131 ),
inference(forward_subsumption_resolution,[],[f10642,f145]) ).
thf(f10653,plain,
( spl0_223
| ~ spl0_7
| ~ spl0_23
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f10649,f2802,f567,f134,f8222]) ).
thf(f11111,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
= $true )
| ( z = X1 )
| ( ( r @ X0 @ z )
= $true )
| ( X0 = X1 )
| ( z = X0 )
| ( ( r @ X0 @ X1 )
= $true )
| ( $true != $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f10625,f25]) ).
thf(f11113,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f10625,f443]) ).
thf(f11114,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_1
| ~ spl0_136 ),
inference(constrained_superposition,[],[f10625,f2859]) ).
thf(f11115,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ( z
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1
| ~ spl0_178 ),
inference(constrained_superposition,[],[f10625,f5154]) ).
thf(f11118,plain,
( ( z
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ~ spl0_1
| ~ spl0_207 ),
inference(constrained_superposition,[],[f10625,f7108]) ).
thf(f11122,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_1
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f11114]) ).
thf(f11124,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( z
= ( s @ ( s @ z ) ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f11113]) ).
thf(f11125,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ~ spl0_1
| ~ spl0_178 ),
inference(trivial_inequality_removal,[],[f11115]) ).
thf(f11126,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true )
| ( X0 = X1 )
| ( z = X1 ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f11111]) ).
thf(f11127,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( z
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_1
| ~ spl0_207 ),
inference(trivial_inequality_removal,[],[f11118]) ).
thf(f11516,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( X0 = X2 )
| ( ( r @ X2 @ z )
= $true )
| ( z = X0 )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X2 @ X0 )
= $true )
| ( z = X2 )
| ( $true != $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f27,f11126]) ).
thf(f11523,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ X0 @ z )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( z = X0 ) )
| ~ spl0_1
| ~ spl0_131 ),
inference(constrained_superposition,[],[f8789,f11126]) ).
thf(f11536,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( X0 = X2 )
| ( ( r @ X2 @ z )
= $true )
| ( ( r @ X2 @ X0 )
= $true )
| ( z = X2 )
| ( z = X0 )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f11516]) ).
thf(f11539,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( ( r @ X0 @ z )
= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_1
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f11523]) ).
thf(f11550,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z = X0 )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_1
| ~ spl0_131 ),
inference(forward_subsumption_resolution,[],[f11539,f24]) ).
thf(f11554,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_131 ),
inference(forward_subsumption_resolution,[],[f11550,f145]) ).
thf(f12531,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_24
| ~ spl0_33 ),
inference(constrained_superposition,[],[f8957,f25]) ).
thf(f12533,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_24
| ~ spl0_33
| ~ spl0_178 ),
inference(constrained_superposition,[],[f8957,f5154]) ).
thf(f12534,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_24
| ~ spl0_33
| ~ spl0_178 ),
inference(trivial_inequality_removal,[],[f12533]) ).
thf(f12535,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_24
| ~ spl0_33 ),
inference(trivial_inequality_removal,[],[f12531]) ).
thf(f12538,definition,
( spl0_496
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_496])],[avatar_definition]) ).
thf(f12539,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_496 ),
inference(avatar_component_clause,[],[f12538]) ).
thf(f12540,plain,
( spl0_496
| spl0_212
| ~ spl0_24
| ~ spl0_33
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f12534,f5153,f1021,f570,f7174,f12538]) ).
thf(f12541,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_18
| ~ spl0_496 ),
inference(constrained_superposition,[],[f6877,f12539]) ).
thf(f12544,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_138
| ~ spl0_496 ),
inference(constrained_superposition,[],[f8660,f12539]) ).
thf(f12548,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_138
| ~ spl0_496 ),
inference(trivial_inequality_removal,[],[f12544]) ).
thf(f12553,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_18
| ~ spl0_496 ),
inference(trivial_inequality_removal,[],[f12541]) ).
thf(f12568,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ z )
= $true )
| ( ( r @ X0 @ ( s @ X1 ) )
= $true )
| ( ( s @ X1 )
= X0 )
| ( z = X0 )
| ( ( r @ ( s @ X1 ) @ z )
= $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f10626,f25]) ).
thf(f12572,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_1
| ~ spl0_178 ),
inference(constrained_superposition,[],[f10626,f5154]) ).
thf(f12577,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( ( r @ X0 @ ( s @ X1 ) )
= $true )
| ( ( s @ X1 )
= X0 )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f12568]) ).
thf(f12580,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1
| ~ spl0_178 ),
inference(trivial_inequality_removal,[],[f12572]) ).
thf(f12591,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( $true != $true )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true )
| ( ( r @ ( s @ X1 ) @ X0 )
= $true )
| ( ( s @ X1 )
= X0 ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f7414,f25]) ).
thf(f12593,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( ( r @ ( s @ X1 ) @ X0 )
= $true )
| ( ( s @ X1 )
= X0 )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f12591]) ).
thf(f12664,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( $true != $true ) )
| ~ spl0_33
| ~ spl0_178 ),
inference(constrained_superposition,[],[f8947,f5154]) ).
thf(f12665,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_24
| ~ spl0_33 ),
inference(constrained_superposition,[],[f8947,f571]) ).
thf(f12667,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true ) )
| ~ spl0_24
| ~ spl0_33 ),
inference(trivial_inequality_removal,[],[f12665]) ).
thf(f12668,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true ) )
| ~ spl0_33
| ~ spl0_178 ),
inference(trivial_inequality_removal,[],[f12664]) ).
thf(f12918,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_18
| ~ spl0_24
| ~ spl0_33 ),
inference(constrained_superposition,[],[f6877,f12535]) ).
thf(f12936,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true ) )
| ~ spl0_18
| ~ spl0_24
| ~ spl0_33 ),
inference(trivial_inequality_removal,[],[f12918]) ).
thf(f12984,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
= $true )
| ( ( r @ X0 @ z )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z = X0 )
| ( $true
!= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_1
| ~ spl0_131 ),
inference(constrained_superposition,[],[f8789,f12593]) ).
thf(f12998,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
= $true )
| ( ( r @ X0 @ z )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z = X0 )
| ( $true
!= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_1
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f12984]) ).
thf(f13008,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_131 ),
inference(forward_subsumption_resolution,[],[f12998,f145]) ).
thf(f13011,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 )
| ( $true != $true ) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_131 ),
inference(constrained_superposition,[],[f8789,f13008]) ).
thf(f13034,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f13011]) ).
thf(f13036,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( ( b @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( ( s @ X0 )
= z ) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_131 ),
inference(constrained_superposition,[],[f13034,f35]) ).
thf(f13038,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( ( s @ X0 )
= z )
| ( z = X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f13036]) ).
thf(f13040,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( z = X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_131 ),
inference(forward_subsumption_resolution,[],[f13038,f24]) ).
thf(f14517,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ X0 )
= $true )
| ( $true != $true )
| ( z = X1 )
| ( ( r @ X1 @ z )
= $true )
| ( z = X0 )
| ( X0 = X1 ) )
| ~ spl0_1
| ~ spl0_18 ),
inference(constrained_superposition,[],[f11536,f511]) ).
thf(f14526,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( z = X1 )
| ( X0 = X1 )
| ( ( r @ X1 @ z )
= $true )
| ( z = X0 )
| ( ( r @ X1 @ X0 )
= $true ) )
| ~ spl0_1
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f14517]) ).
thf(f14540,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( z = X0 )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( ( r @ X0 @ z )
= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_1
| ~ spl0_18
| ~ spl0_170 ),
inference(constrained_superposition,[],[f14526,f5070]) ).
thf(f14548,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z = X0 )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) )
| ~ spl0_1
| ~ spl0_18
| ~ spl0_170 ),
inference(trivial_inequality_removal,[],[f14540]) ).
thf(f14552,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ X0 @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( z = X0 ) )
| ~ spl0_1
| ~ spl0_18
| ~ spl0_170 ),
inference(forward_subsumption_resolution,[],[f14548,f24]) ).
thf(f14611,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 ) )
| ~ spl0_131 ),
inference(constrained_superposition,[],[f8834,f35]) ).
thf(f14614,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( ( b @ ( s @ X0 ) @ ( s @ z ) )
= $true ) )
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f14611]) ).
thf(f14704,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_32
| ~ spl0_136 ),
inference(constrained_superposition,[],[f9030,f33]) ).
thf(f14711,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_32
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f14704]) ).
thf(f16566,definition,
( spl0_605
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_605])],[avatar_definition]) ).
thf(f16567,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_605 ),
inference(avatar_component_clause,[],[f16566]) ).
thf(f16569,definition,
( spl0_606
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_606])],[avatar_definition]) ).
thf(f16570,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| spl0_606 ),
inference(avatar_component_clause,[],[f16569]) ).
thf(f16579,definition,
( spl0_608
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_608])],[avatar_definition]) ).
thf(f16580,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_608 ),
inference(avatar_component_clause,[],[f16579]) ).
thf(f16582,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_187 ),
inference(avatar_component_clause,[],[f5598]) ).
thf(f16585,definition,
( spl0_609
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_609])],[avatar_definition]) ).
thf(f16586,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_609 ),
inference(avatar_component_clause,[],[f16585]) ).
thf(f17179,definition,
( spl0_624
<=> ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_624])],[avatar_definition]) ).
thf(f17180,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
!= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_624 ),
inference(avatar_component_clause,[],[f17179]) ).
thf(f17269,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_211 ),
inference(constrained_superposition,[],[f444,f7163]) ).
thf(f17430,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_211 ),
inference(forward_subsumption_resolution,[],[f17269,f30]) ).
thf(f17454,plain,
( $false
| ~ spl0_211 ),
inference(forward_subsumption_resolution,[],[f17430,f26]) ).
thf(f17455,plain,
~ spl0_211,
inference(avatar_contradiction_clause,[],[f17454]) ).
thf(f17495,definition,
( spl0_633
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_633])],[avatar_definition]) ).
thf(f17496,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_633 ),
inference(avatar_component_clause,[],[f17495]) ).
thf(f17502,definition,
( spl0_635
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_635])],[avatar_definition]) ).
thf(f17503,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_635 ),
inference(avatar_component_clause,[],[f17502]) ).
thf(f17506,definition,
( spl0_636
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_636])],[avatar_definition]) ).
thf(f17507,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_636 ),
inference(avatar_component_clause,[],[f17506]) ).
thf(f17509,definition,
( spl0_637
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_637])],[avatar_definition]) ).
thf(f17510,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_637 ),
inference(avatar_component_clause,[],[f17509]) ).
thf(f17513,definition,
( spl0_638
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_638])],[avatar_definition]) ).
thf(f17514,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_638 ),
inference(avatar_component_clause,[],[f17513]) ).
thf(f17521,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_131
| spl0_606 ),
inference(constrained_superposition,[],[f16570,f13040]) ).
thf(f17527,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_131
| spl0_606 ),
inference(trivial_inequality_removal,[],[f17521]) ).
thf(f17533,definition,
( spl0_639
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_639])],[avatar_definition]) ).
thf(f17534,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_639 ),
inference(avatar_component_clause,[],[f17533]) ).
thf(f17536,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_131
| spl0_606 ),
inference(forward_subsumption_resolution,[],[f17527,f24]) ).
thf(f17538,definition,
( spl0_640
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_640])],[avatar_definition]) ).
thf(f17539,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_640 ),
inference(avatar_component_clause,[],[f17538]) ).
thf(f17541,definition,
( spl0_641
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_641])],[avatar_definition]) ).
thf(f17542,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_641 ),
inference(avatar_component_clause,[],[f17541]) ).
thf(f17545,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_609 ),
inference(avatar_component_clause,[],[f16585]) ).
thf(f17547,plain,
( spl0_609
| spl0_640
| ~ spl0_1
| ~ spl0_7
| ~ spl0_131
| spl0_606 ),
inference(avatar_split_clause,[],[f17536,f16569,f2802,f134,f60,f17538,f16585]) ).
thf(f17575,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_1
| ~ spl0_633 ),
inference(constrained_superposition,[],[f7335,f17496]) ).
thf(f17582,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_33
| ~ spl0_178
| ~ spl0_633 ),
inference(constrained_superposition,[],[f12668,f17496]) ).
thf(f17601,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_33
| ~ spl0_178
| ~ spl0_633 ),
inference(trivial_inequality_removal,[],[f17582]) ).
thf(f17614,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_1
| ~ spl0_633 ),
inference(trivial_inequality_removal,[],[f17575]) ).
thf(f17628,definition,
( spl0_642
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_642])],[avatar_definition]) ).
thf(f17629,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| spl0_642 ),
inference(avatar_component_clause,[],[f17628]) ).
thf(f17634,plain,
( spl0_639
| spl0_232
| ~ spl0_33
| ~ spl0_178
| ~ spl0_633 ),
inference(avatar_split_clause,[],[f17601,f17495,f5153,f1021,f10193,f17533]) ).
thf(f17638,definition,
( spl0_644
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_644])],[avatar_definition]) ).
thf(f17639,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_644 ),
inference(avatar_component_clause,[],[f17638]) ).
thf(f17648,definition,
( spl0_647
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_647])],[avatar_definition]) ).
thf(f17649,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| spl0_647 ),
inference(avatar_component_clause,[],[f17648]) ).
thf(f17653,plain,
( ~ spl0_185
| spl0_609
| ~ spl0_1
| ~ spl0_633 ),
inference(avatar_split_clause,[],[f17614,f17495,f60,f16585,f5439]) ).
thf(f17658,definition,
( spl0_648
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_648])],[avatar_definition]) ).
thf(f17659,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_648 ),
inference(avatar_component_clause,[],[f17658]) ).
thf(f17680,definition,
( spl0_652
<=> ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_652])],[avatar_definition]) ).
thf(f17681,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_652 ),
inference(avatar_component_clause,[],[f17680]) ).
thf(f17693,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_33
| ~ spl0_178
| ~ spl0_637 ),
inference(constrained_superposition,[],[f8948,f17510]) ).
thf(f17731,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_33
| ~ spl0_178
| ~ spl0_637 ),
inference(trivial_inequality_removal,[],[f17693]) ).
thf(f17741,definition,
( spl0_653
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_653])],[avatar_definition]) ).
thf(f17742,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_653 ),
inference(avatar_component_clause,[],[f17741]) ).
thf(f17751,definition,
( spl0_654
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_654])],[avatar_definition]) ).
thf(f17752,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_654 ),
inference(avatar_component_clause,[],[f17751]) ).
thf(f17758,plain,
( ~ spl0_606
| ~ spl0_33
| ~ spl0_178
| ~ spl0_637 ),
inference(avatar_split_clause,[],[f17731,f17509,f5153,f1021,f16569]) ).
thf(f17760,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_647 ),
inference(avatar_component_clause,[],[f17648]) ).
thf(f17862,definition,
( spl0_667
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_667])],[avatar_definition]) ).
thf(f17863,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_667 ),
inference(avatar_component_clause,[],[f17862]) ).
thf(f18007,plain,
( ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_232 ),
inference(constrained_superposition,[],[f74,f10194]) ).
thf(f18196,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_232 ),
inference(forward_subsumption_resolution,[],[f18007,f30]) ).
thf(f18262,plain,
( $false
| ~ spl0_232 ),
inference(forward_subsumption_resolution,[],[f18196,f26]) ).
thf(f18263,plain,
~ spl0_232,
inference(avatar_contradiction_clause,[],[f18262]) ).
thf(f18427,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_131
| ~ spl0_640 ),
inference(constrained_superposition,[],[f14614,f17539]) ).
thf(f18450,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_131
| ~ spl0_640 ),
inference(forward_subsumption_resolution,[],[f18427,f24]) ).
thf(f18476,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_131
| spl0_191
| ~ spl0_640 ),
inference(forward_subsumption_resolution,[],[f18450,f6300]) ).
thf(f18489,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_131
| spl0_191
| ~ spl0_640 ),
inference(forward_subsumption_resolution,[],[f18476,f30]) ).
thf(f18498,plain,
( spl0_212
| ~ spl0_131
| spl0_191
| ~ spl0_640 ),
inference(avatar_split_clause,[],[f18489,f17538,f5847,f2802,f7174]) ).
thf(f18531,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_212 ),
inference(constrained_superposition,[],[f444,f7175]) ).
thf(f18700,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_212 ),
inference(forward_subsumption_resolution,[],[f18531,f30]) ).
thf(f18722,plain,
( $false
| ~ spl0_212 ),
inference(forward_subsumption_resolution,[],[f18700,f26]) ).
thf(f18723,plain,
~ spl0_212,
inference(avatar_contradiction_clause,[],[f18722]) ).
thf(f18754,definition,
( spl0_684
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_684])],[avatar_definition]) ).
thf(f18755,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_684 ),
inference(avatar_component_clause,[],[f18754]) ).
thf(f18822,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_641 ),
inference(constrained_superposition,[],[f444,f17542]) ).
thf(f18977,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_641 ),
inference(forward_subsumption_resolution,[],[f18822,f30]) ).
thf(f19003,plain,
( $false
| ~ spl0_641 ),
inference(forward_subsumption_resolution,[],[f18977,f26]) ).
thf(f19004,plain,
~ spl0_641,
inference(avatar_contradiction_clause,[],[f19003]) ).
thf(f19037,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_150
| ~ spl0_654 ),
inference(constrained_superposition,[],[f8813,f17752]) ).
thf(f19047,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_150
| ~ spl0_654 ),
inference(trivial_inequality_removal,[],[f19037]) ).
thf(f19063,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_667 ),
inference(avatar_component_clause,[],[f17862]) ).
thf(f19064,plain,
( spl0_667
| spl0_225
| ~ spl0_150
| ~ spl0_654 ),
inference(avatar_split_clause,[],[f19047,f17751,f4268,f8229,f17862]) ).
thf(f19072,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_653 ),
inference(avatar_component_clause,[],[f17741]) ).
thf(f19274,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
!= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) )
| ~ spl0_608 ),
inference(constrained_superposition,[],[f28,f16580]) ).
thf(f19403,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_648 ),
inference(constrained_superposition,[],[f27,f17659]) ).
thf(f19406,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_648 ),
inference(trivial_inequality_removal,[],[f19403]) ).
thf(f19435,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_57
| ~ spl0_667 ),
inference(constrained_superposition,[],[f1307,f19063]) ).
thf(f19439,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_24
| ~ spl0_33
| ~ spl0_667 ),
inference(constrained_superposition,[],[f12667,f19063]) ).
thf(f19456,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_24
| ~ spl0_33
| ~ spl0_667 ),
inference(trivial_inequality_removal,[],[f19439]) ).
thf(f19465,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_57
| ~ spl0_667 ),
inference(trivial_inequality_removal,[],[f19435]) ).
thf(f19471,definition,
( spl0_690
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_690])],[avatar_definition]) ).
thf(f19472,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_690 ),
inference(avatar_component_clause,[],[f19471]) ).
thf(f19475,plain,
( spl0_232
| spl0_639
| ~ spl0_24
| ~ spl0_33
| ~ spl0_667 ),
inference(avatar_split_clause,[],[f19456,f17862,f1021,f570,f17533,f10193]) ).
thf(f19480,plain,
( ~ spl0_606
| ~ spl0_57
| ~ spl0_667 ),
inference(avatar_split_clause,[],[f19465,f17862,f1306,f16569]) ).
thf(f19482,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_199 ),
inference(avatar_component_clause,[],[f6591]) ).
thf(f19500,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_667 ),
inference(constrained_superposition,[],[f17863,f443]) ).
thf(f19504,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_667 ),
inference(trivial_inequality_removal,[],[f19500]) ).
thf(f19517,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_608 ),
inference(equality_resolution,[],[f19274]) ).
thf(f19665,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_131
| ~ spl0_608 ),
inference(constrained_superposition,[],[f14614,f19517]) ).
thf(f19684,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_131
| spl0_191
| ~ spl0_608 ),
inference(forward_subsumption_resolution,[],[f19665,f6300]) ).
thf(f19719,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_131
| spl0_191
| ~ spl0_608 ),
inference(forward_subsumption_resolution,[],[f19684,f30]) ).
thf(f19730,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_131
| spl0_191
| ~ spl0_608 ),
inference(forward_subsumption_resolution,[],[f19719,f24]) ).
thf(f19738,plain,
( spl0_211
| ~ spl0_131
| spl0_191
| ~ spl0_608 ),
inference(avatar_split_clause,[],[f19730,f16579,f5847,f2802,f7162]) ).
thf(f20409,definition,
( spl0_695
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_695])],[avatar_definition]) ).
thf(f20410,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_695 ),
inference(avatar_component_clause,[],[f20409]) ).
thf(f20621,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_648 ),
inference(constrained_superposition,[],[f19406,f73]) ).
thf(f20628,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_131
| ~ spl0_648 ),
inference(constrained_superposition,[],[f19406,f11554]) ).
thf(f20629,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_1
| ~ spl0_18
| ~ spl0_170
| ~ spl0_648 ),
inference(constrained_superposition,[],[f19406,f14552]) ).
thf(f20633,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_131
| ~ spl0_648 ),
inference(trivial_inequality_removal,[],[f20628]) ).
thf(f20636,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1
| ~ spl0_18
| ~ spl0_170
| ~ spl0_648 ),
inference(trivial_inequality_removal,[],[f20629]) ).
thf(f20641,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_648 ),
inference(trivial_inequality_removal,[],[f20621]) ).
thf(f20646,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_1
| ~ spl0_18
| ~ spl0_170
| ~ spl0_648 ),
inference(forward_subsumption_resolution,[],[f20636,f5070]) ).
thf(f20651,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_1
| ~ spl0_18
| ~ spl0_170
| ~ spl0_648 ),
inference(forward_subsumption_resolution,[],[f20646,f24]) ).
thf(f20656,plain,
( spl0_608
| spl0_609
| ~ spl0_1
| ~ spl0_18
| ~ spl0_170
| ~ spl0_648 ),
inference(avatar_split_clause,[],[f20651,f17658,f5069,f510,f60,f16585,f16579]) ).
thf(f20659,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_18
| ~ spl0_609 ),
inference(constrained_superposition,[],[f7096,f17545]) ).
thf(f20660,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_609
| ~ spl0_648 ),
inference(constrained_superposition,[],[f19406,f17545]) ).
thf(f20670,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_18
| ~ spl0_24
| ~ spl0_33
| ~ spl0_609 ),
inference(constrained_superposition,[],[f12936,f17545]) ).
thf(f20672,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_609
| ~ spl0_648 ),
inference(trivial_inequality_removal,[],[f20660]) ).
thf(f20673,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_18
| ~ spl0_24
| ~ spl0_33
| ~ spl0_609 ),
inference(trivial_inequality_removal,[],[f20670]) ).
thf(f20683,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_18
| ~ spl0_609 ),
inference(trivial_inequality_removal,[],[f20659]) ).
thf(f20685,plain,
( $false
| ~ spl0_150
| ~ spl0_609
| ~ spl0_648 ),
inference(forward_subsumption_resolution,[],[f20672,f4269]) ).
thf(f20686,plain,
( ~ spl0_150
| ~ spl0_609
| ~ spl0_648 ),
inference(avatar_contradiction_clause,[],[f20685]) ).
thf(f20687,plain,
( spl0_232
| spl0_641
| spl0_639
| ~ spl0_18
| ~ spl0_24
| ~ spl0_33
| ~ spl0_609 ),
inference(avatar_split_clause,[],[f20673,f16585,f1021,f570,f510,f17533,f17541,f10193]) ).
thf(f20693,plain,
( spl0_653
| ~ spl0_18
| ~ spl0_609 ),
inference(avatar_split_clause,[],[f20683,f16585,f510,f17741]) ).
thf(f20712,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_181 ),
inference(avatar_component_clause,[],[f5257]) ).
thf(f20713,plain,
( ~ spl0_181
| spl0_187
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f8999,f2865,f5598,f5257]) ).
thf(f20726,plain,
( ~ spl0_181
| ~ spl0_138
| ~ spl0_496 ),
inference(avatar_split_clause,[],[f12548,f12538,f2865,f5257]) ).
thf(f20727,plain,
( $false
| ~ spl0_18
| ~ spl0_174
| ~ spl0_496 ),
inference(forward_subsumption_resolution,[],[f5089,f12553]) ).
thf(f20728,plain,
( ~ spl0_18
| ~ spl0_174
| ~ spl0_496 ),
inference(avatar_contradiction_clause,[],[f20727]) ).
thf(f20788,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_131
| ~ spl0_648 ),
inference(forward_subsumption_resolution,[],[f20633,f24]) ).
thf(f20790,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_606 ),
inference(avatar_component_clause,[],[f16569]) ).
thf(f20791,plain,
( ~ spl0_29
| spl0_606
| ~ spl0_648 ),
inference(avatar_split_clause,[],[f20641,f17658,f16569,f665]) ).
thf(f20792,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1
| ~ spl0_18
| ~ spl0_178
| ~ spl0_496 ),
inference(forward_subsumption_resolution,[],[f12580,f12553]) ).
thf(f20799,plain,
( spl0_170
| ~ spl0_57
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f9053,f5153,f1306,f5069]) ).
thf(f20813,definition,
( spl0_724
<=> ! [X0: $i] :
( ( z = X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( r @ X0 @ z )
= $true )
| ( ( s @ z )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_724])],[avatar_definition]) ).
thf(f20814,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_724 ),
inference(avatar_component_clause,[],[f20813]) ).
thf(f20843,plain,
( spl0_609
| spl0_640
| ~ spl0_181
| ~ spl0_1
| ~ spl0_7
| ~ spl0_131
| ~ spl0_648 ),
inference(avatar_split_clause,[],[f20788,f17658,f2802,f134,f60,f5257,f17538,f16585]) ).
thf(f20845,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ~ spl0_1
| ~ spl0_18
| ~ spl0_178
| ~ spl0_496 ),
inference(forward_subsumption_resolution,[],[f20792,f24]) ).
thf(f20857,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_624 ),
inference(avatar_component_clause,[],[f17179]) ).
thf(f20868,plain,
( spl0_3
| ~ spl0_1
| ~ spl0_18
| ~ spl0_178
| ~ spl0_496 ),
inference(avatar_split_clause,[],[f20845,f12538,f5153,f510,f60,f84]) ).
thf(f20883,plain,
( spl0_648
| spl0_667 ),
inference(avatar_split_clause,[],[f19504,f17862,f17658]) ).
thf(f20897,plain,
( spl0_24
| ~ spl0_3
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f7097,f510,f84,f570]) ).
thf(f20900,definition,
( spl0_734
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_734])],[avatar_definition]) ).
thf(f20901,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_734 ),
inference(avatar_component_clause,[],[f20900]) ).
thf(f20905,plain,
( spl0_19
| ~ spl0_7
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f8811,f4268,f134,f544]) ).
thf(f20910,plain,
( spl0_24
| ~ spl0_47
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f8775,f4268,f1087,f570]) ).
thf(f20912,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_1
| ~ spl0_178 ),
inference(forward_subsumption_resolution,[],[f11125,f24]) ).
thf(f20931,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ~ spl0_1
| ~ spl0_207 ),
inference(forward_subsumption_resolution,[],[f11127,f24]) ).
thf(f20948,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ~ spl0_1
| ~ spl0_178 ),
inference(forward_subsumption_resolution,[],[f20912,f24]) ).
thf(f20954,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_1
| ~ spl0_207 ),
inference(forward_subsumption_resolution,[],[f20931,f24]) ).
thf(f20961,plain,
( spl0_3
| spl0_174
| ~ spl0_1
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f20948,f5153,f60,f5088,f84]) ).
thf(f20962,plain,
( spl0_174
| spl0_3
| ~ spl0_1
| ~ spl0_207 ),
inference(avatar_split_clause,[],[f20954,f7107,f60,f84,f5088]) ).
thf(f20963,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_163 ),
inference(avatar_component_clause,[],[f4561]) ).
thf(f20976,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_1
| spl0_3 ),
inference(constrained_superposition,[],[f85,f12577]) ).
thf(f20980,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
= $true )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true ) )
| ~ spl0_1
| spl0_3 ),
inference(trivial_inequality_removal,[],[f20976]) ).
thf(f20982,plain,
( spl0_724
| ~ spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f20980,f84,f60,f20813]) ).
thf(f21033,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_18
| ~ spl0_174 ),
inference(constrained_superposition,[],[f7095,f5089]) ).
thf(f21037,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_18
| ~ spl0_174 ),
inference(trivial_inequality_removal,[],[f21033]) ).
thf(f21044,plain,
( spl0_187
| spl0_223
| ~ spl0_18
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f21037,f5088,f510,f8222,f5598]) ).
thf(f21049,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_138
| ~ spl0_624 ),
inference(constrained_superposition,[],[f2866,f20857]) ).
thf(f21133,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_217
| ~ spl0_624 ),
inference(constrained_superposition,[],[f9149,f20857]) ).
thf(f21139,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_131
| ~ spl0_624 ),
inference(constrained_superposition,[],[f14614,f20857]) ).
thf(f21156,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_131
| ~ spl0_624 ),
inference(forward_subsumption_resolution,[],[f21139,f30]) ).
thf(f21158,plain,
( $false
| ~ spl0_138
| ~ spl0_624 ),
inference(forward_subsumption_resolution,[],[f21049,f26]) ).
thf(f21159,plain,
( ~ spl0_138
| ~ spl0_624 ),
inference(avatar_contradiction_clause,[],[f21158]) ).
thf(f21163,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_217
| ~ spl0_624 ),
inference(forward_subsumption_resolution,[],[f21133,f9130]) ).
thf(f21171,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_131
| ~ spl0_624 ),
inference(forward_subsumption_resolution,[],[f21156,f24]) ).
thf(f21173,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_217
| ~ spl0_624 ),
inference(forward_subsumption_resolution,[],[f21163,f30]) ).
thf(f21177,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_131
| spl0_191
| ~ spl0_624 ),
inference(forward_subsumption_resolution,[],[f21171,f6300]) ).
thf(f21179,plain,
( spl0_211
| ~ spl0_217
| ~ spl0_624 ),
inference(avatar_split_clause,[],[f21173,f17179,f7435,f7162]) ).
thf(f21182,plain,
( spl0_211
| ~ spl0_131
| spl0_191
| ~ spl0_624 ),
inference(avatar_split_clause,[],[f21177,f17179,f5847,f2802,f7162]) ).
thf(f21221,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_187 ),
inference(constrained_superposition,[],[f41,f5599]) ).
thf(f21222,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1
| ~ spl0_187 ),
inference(constrained_superposition,[],[f10625,f5599]) ).
thf(f21228,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_187 ),
inference(trivial_inequality_removal,[],[f21221]) ).
thf(f21233,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1
| ~ spl0_187 ),
inference(trivial_inequality_removal,[],[f21222]) ).
thf(f21243,plain,
( spl0_171
| spl0_179
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f21228,f5598,f5235,f5075]) ).
thf(f21571,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_131
| ~ spl0_684 ),
inference(constrained_superposition,[],[f8786,f18755]) ).
thf(f21578,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_131
| ~ spl0_684 ),
inference(trivial_inequality_removal,[],[f21571]) ).
thf(f21582,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_644 ),
inference(avatar_component_clause,[],[f17638]) ).
thf(f21584,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_642 ),
inference(avatar_component_clause,[],[f17628]) ).
thf(f21585,plain,
( spl0_212
| spl0_642
| ~ spl0_131
| ~ spl0_684 ),
inference(avatar_split_clause,[],[f21578,f18754,f2802,f17628,f7174]) ).
thf(f21601,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1
| ~ spl0_199 ),
inference(constrained_superposition,[],[f10625,f19482]) ).
thf(f21609,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_1
| ~ spl0_199 ),
inference(trivial_inequality_removal,[],[f21601]) ).
thf(f21657,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_131
| ~ spl0_639 ),
inference(constrained_superposition,[],[f8834,f17534]) ).
thf(f21661,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_131
| ~ spl0_639 ),
inference(trivial_inequality_removal,[],[f21657]) ).
thf(f21666,plain,
( spl0_642
| spl0_212
| ~ spl0_131
| ~ spl0_639 ),
inference(avatar_split_clause,[],[f21661,f17533,f2802,f7174,f17628]) ).
thf(f21700,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_32
| ~ spl0_136
| ~ spl0_667 ),
inference(constrained_superposition,[],[f9030,f19063]) ).
thf(f21715,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_32
| ~ spl0_136
| ~ spl0_667 ),
inference(trivial_inequality_removal,[],[f21700]) ).
thf(f21721,plain,
( spl0_640
| spl0_690
| ~ spl0_32
| ~ spl0_136
| ~ spl0_667 ),
inference(avatar_split_clause,[],[f21715,f17862,f2858,f720,f19471,f17538]) ).
thf(f21728,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_1
| ~ spl0_653 ),
inference(constrained_superposition,[],[f10626,f19072]) ).
thf(f21744,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_1
| ~ spl0_653 ),
inference(trivial_inequality_removal,[],[f21728]) ).
thf(f22019,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_690 ),
inference(constrained_superposition,[],[f82,f19472]) ).
thf(f22029,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_690 ),
inference(trivial_inequality_removal,[],[f22019]) ).
thf(f22032,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_131
| ~ spl0_690 ),
inference(forward_subsumption_resolution,[],[f22029,f2803]) ).
thf(f22040,plain,
( spl0_606
| ~ spl0_131
| ~ spl0_690 ),
inference(avatar_split_clause,[],[f22032,f19471,f2802,f16569]) ).
thf(f22048,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_609 ),
inference(constrained_superposition,[],[f27,f17545]) ).
thf(f22050,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_609 ),
inference(trivial_inequality_removal,[],[f22048]) ).
thf(f22163,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_32
| ~ spl0_642 ),
inference(constrained_superposition,[],[f9019,f21584]) ).
thf(f22186,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_32
| ~ spl0_642 ),
inference(trivial_inequality_removal,[],[f22163]) ).
thf(f22196,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_32
| ~ spl0_136
| ~ spl0_642 ),
inference(forward_subsumption_resolution,[],[f22186,f2859]) ).
thf(f22201,plain,
( spl0_648
| ~ spl0_32
| ~ spl0_136
| ~ spl0_642 ),
inference(avatar_split_clause,[],[f22196,f17628,f2858,f720,f17658]) ).
thf(f22206,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_642 ),
inference(constrained_superposition,[],[f17629,f71]) ).
thf(f22211,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_642 ),
inference(trivial_inequality_removal,[],[f22206]) ).
thf(f22213,definition,
( spl0_746
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_746])],[avatar_definition]) ).
thf(f22214,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_746 ),
inference(avatar_component_clause,[],[f22213]) ).
thf(f22216,plain,
( spl0_223
| spl0_746
| spl0_642 ),
inference(avatar_split_clause,[],[f22211,f17628,f22213,f8222]) ).
thf(f22250,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_609
| ~ spl0_635 ),
inference(constrained_superposition,[],[f22050,f17503]) ).
thf(f22253,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_138
| ~ spl0_635 ),
inference(constrained_superposition,[],[f8660,f17503]) ).
thf(f22258,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_609
| ~ spl0_635 ),
inference(trivial_inequality_removal,[],[f22250]) ).
thf(f22262,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_138
| ~ spl0_635 ),
inference(trivial_inequality_removal,[],[f22253]) ).
thf(f22264,plain,
( $false
| ~ spl0_174
| ~ spl0_609
| ~ spl0_635 ),
inference(forward_subsumption_resolution,[],[f22258,f5089]) ).
thf(f22265,plain,
( ~ spl0_174
| ~ spl0_609
| ~ spl0_635 ),
inference(avatar_contradiction_clause,[],[f22264]) ).
thf(f22267,plain,
( $false
| ~ spl0_138
| ~ spl0_635
| ~ spl0_746 ),
inference(forward_subsumption_resolution,[],[f22262,f22214]) ).
thf(f22268,plain,
( ~ spl0_138
| ~ spl0_635
| ~ spl0_746 ),
inference(avatar_contradiction_clause,[],[f22267]) ).
thf(f22277,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_32
| ~ spl0_633 ),
inference(constrained_superposition,[],[f9019,f17496]) ).
thf(f22299,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_32
| ~ spl0_633 ),
inference(trivial_inequality_removal,[],[f22277]) ).
thf(f22309,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_32
| ~ spl0_633
| ~ spl0_667 ),
inference(forward_subsumption_resolution,[],[f22299,f19063]) ).
thf(f22312,plain,
( spl0_170
| ~ spl0_32
| ~ spl0_633
| ~ spl0_667 ),
inference(avatar_split_clause,[],[f22309,f17862,f17495,f720,f5069]) ).
thf(f22318,plain,
( ~ spl0_217
| spl0_178
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f9005,f2872,f5153,f7435]) ).
thf(f22323,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| spl0_178 ),
inference(avatar_component_clause,[],[f5153]) ).
thf(f22327,plain,
( spl0_161
| ~ spl0_182
| spl0_171
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f9332,f5080,f5075,f5302,f4498]) ).
thf(f22341,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_180 ),
inference(constrained_superposition,[],[f27,f5254]) ).
thf(f22343,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_180 ),
inference(trivial_inequality_removal,[],[f22341]) ).
thf(f22642,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_654 ),
inference(avatar_component_clause,[],[f17751]) ).
thf(f22903,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_180
| ~ spl0_746 ),
inference(constrained_superposition,[],[f22343,f22214]) ).
thf(f22916,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_180
| ~ spl0_746 ),
inference(trivial_inequality_removal,[],[f22903]) ).
thf(f22917,plain,
( ~ spl0_609
| ~ spl0_180
| ~ spl0_746 ),
inference(avatar_split_clause,[],[f22916,f22213,f5253,f16585]) ).
thf(f22937,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_32
| ~ spl0_139 ),
inference(constrained_superposition,[],[f9019,f2869]) ).
thf(f22952,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_32
| ~ spl0_139 ),
inference(trivial_inequality_removal,[],[f22937]) ).
thf(f22968,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_32
| ~ spl0_136
| ~ spl0_139 ),
inference(forward_subsumption_resolution,[],[f22952,f2859]) ).
thf(f22972,plain,
( spl0_170
| ~ spl0_32
| ~ spl0_136
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f22968,f2868,f2858,f720,f5069]) ).
thf(f22978,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_148 ),
inference(avatar_component_clause,[],[f4261]) ).
thf(f22993,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_1
| ~ spl0_136 ),
inference(forward_subsumption_resolution,[],[f11122,f24]) ).
thf(f22994,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_1
| ~ spl0_653 ),
inference(forward_subsumption_resolution,[],[f21744,f24]) ).
thf(f22999,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ z ) ) ) )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f11124,f24]) ).
thf(f23007,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_1
| ~ spl0_199 ),
inference(forward_subsumption_resolution,[],[f21609,f24]) ).
thf(f23010,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_1
| ~ spl0_187 ),
inference(forward_subsumption_resolution,[],[f21233,f24]) ).
thf(f23021,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_1
| ~ spl0_136 ),
inference(forward_subsumption_resolution,[],[f22993,f24]) ).
thf(f23022,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_1
| spl0_609
| ~ spl0_653 ),
inference(forward_subsumption_resolution,[],[f22994,f16586]) ).
thf(f23024,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f22999,f24]) ).
thf(f23030,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_1
| ~ spl0_199 ),
inference(forward_subsumption_resolution,[],[f23007,f24]) ).
thf(f23033,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_1
| ~ spl0_187 ),
inference(forward_subsumption_resolution,[],[f23010,f24]) ).
thf(f23045,plain,
( spl0_180
| spl0_18
| ~ spl0_1
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f23021,f2858,f60,f510,f5253]) ).
thf(f23046,plain,
( spl0_18
| ~ spl0_1
| spl0_609
| ~ spl0_653 ),
inference(avatar_split_clause,[],[f23022,f17741,f16585,f60,f510]) ).
thf(f23048,plain,
( spl0_18
| spl0_17
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f23024,f60,f503,f510]) ).
thf(f23051,plain,
( spl0_18
| spl0_174
| ~ spl0_1
| ~ spl0_199 ),
inference(avatar_split_clause,[],[f23030,f6591,f60,f5088,f510]) ).
thf(f23052,plain,
( spl0_18
| spl0_174
| ~ spl0_1
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f23033,f5598,f60,f5088,f510]) ).
thf(f23063,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_32
| ~ spl0_136 ),
inference(forward_subsumption_resolution,[],[f14711,f24]) ).
thf(f23074,plain,
( spl0_151
| spl0_150
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f9018,f720,f4268,f4271]) ).
thf(f23075,plain,
( spl0_163
| spl0_150
| ~ spl0_32
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f23063,f2858,f720,f4268,f4561]) ).
thf(f23141,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_163 ),
inference(constrained_superposition,[],[f27,f4562]) ).
thf(f23142,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_163 ),
inference(trivial_inequality_removal,[],[f23141]) ).
thf(f23146,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_180 ),
inference(constrained_superposition,[],[f82,f5254]) ).
thf(f23149,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_180 ),
inference(constrained_superposition,[],[f27,f5254]) ).
thf(f23151,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_180 ),
inference(trivial_inequality_removal,[],[f23146]) ).
thf(f23153,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_180 ),
inference(trivial_inequality_removal,[],[f23149]) ).
thf(f23205,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_191 ),
inference(constrained_superposition,[],[f29,f5848]) ).
thf(f23213,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_191 ),
inference(trivial_inequality_removal,[],[f23205]) ).
thf(f23227,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_47
| ~ spl0_639 ),
inference(constrained_superposition,[],[f1088,f17534]) ).
thf(f23229,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_47
| ~ spl0_639 ),
inference(trivial_inequality_removal,[],[f23227]) ).
thf(f23292,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_178 ),
inference(constrained_superposition,[],[f41,f5154]) ).
thf(f23301,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_178 ),
inference(trivial_inequality_removal,[],[f23292]) ).
thf(f23327,plain,
( ~ spl0_654
| ~ spl0_47
| ~ spl0_639 ),
inference(avatar_split_clause,[],[f23229,f17533,f1087,f17751]) ).
thf(f23345,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_170 ),
inference(constrained_superposition,[],[f27,f5070]) ).
thf(f23349,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_170 ),
inference(trivial_inequality_removal,[],[f23345]) ).
thf(f23368,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_187 ),
inference(constrained_superposition,[],[f16582,f71]) ).
thf(f23370,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_187 ),
inference(trivial_inequality_removal,[],[f23368]) ).
thf(f23407,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_163 ),
inference(constrained_superposition,[],[f23142,f74]) ).
thf(f23410,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_163 ),
inference(trivial_inequality_removal,[],[f23407]) ).
thf(f23415,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_180 ),
inference(constrained_superposition,[],[f23153,f73]) ).
thf(f23423,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_180 ),
inference(trivial_inequality_removal,[],[f23415]) ).
thf(f23431,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_138 ),
inference(constrained_superposition,[],[f27,f2866]) ).
thf(f23432,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_138 ),
inference(trivial_inequality_removal,[],[f23431]) ).
thf(f23467,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| spl0_653 ),
inference(constrained_superposition,[],[f17742,f71]) ).
thf(f23470,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_653 ),
inference(trivial_inequality_removal,[],[f23467]) ).
thf(f23486,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| spl0_22
| ~ spl0_724 ),
inference(constrained_superposition,[],[f555,f20814]) ).
thf(f23495,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_22
| ~ spl0_724 ),
inference(trivial_inequality_removal,[],[f23486]) ).
thf(f23500,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| spl0_22
| spl0_25
| ~ spl0_724 ),
inference(forward_subsumption_resolution,[],[f23495,f1629]) ).
thf(f23502,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| spl0_22
| spl0_25
| ~ spl0_724 ),
inference(forward_subsumption_resolution,[],[f23500,f24]) ).
thf(f23504,plain,
( $false
| spl0_18
| spl0_22
| spl0_25
| ~ spl0_724 ),
inference(forward_subsumption_resolution,[],[f23502,f6856]) ).
thf(f23505,plain,
( spl0_18
| spl0_22
| spl0_25
| ~ spl0_724 ),
inference(avatar_contradiction_clause,[],[f23504]) ).
thf(f23575,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_149
| ~ spl0_690 ),
inference(constrained_superposition,[],[f4265,f19472]) ).
thf(f23579,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_149
| ~ spl0_690 ),
inference(trivial_inequality_removal,[],[f23575]) ).
thf(f23586,plain,
( $false
| ~ spl0_149
| ~ spl0_605
| ~ spl0_690 ),
inference(forward_subsumption_resolution,[],[f23579,f16567]) ).
thf(f23587,plain,
( ~ spl0_149
| ~ spl0_605
| ~ spl0_690 ),
inference(avatar_contradiction_clause,[],[f23586]) ).
thf(f23593,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_33
| ~ spl0_191 ),
inference(constrained_superposition,[],[f1022,f5848]) ).
thf(f23594,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_24
| ~ spl0_33 ),
inference(constrained_superposition,[],[f1022,f571]) ).
thf(f23597,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_33
| ~ spl0_191 ),
inference(trivial_inequality_removal,[],[f23593]) ).
thf(f23599,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_24
| ~ spl0_33 ),
inference(trivial_inequality_removal,[],[f23594]) ).
thf(f23604,plain,
( spl0_695
| ~ spl0_33
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f23597,f5847,f1021,f20409]) ).
thf(f23607,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_24
| ~ spl0_33
| ~ spl0_148 ),
inference(constrained_superposition,[],[f23599,f4262]) ).
thf(f23617,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_24
| ~ spl0_33
| ~ spl0_148 ),
inference(trivial_inequality_removal,[],[f23607]) ).
thf(f23619,plain,
( $false
| ~ spl0_24
| ~ spl0_33
| ~ spl0_148
| ~ spl0_191 ),
inference(forward_subsumption_resolution,[],[f23617,f5848]) ).
thf(f23620,plain,
( ~ spl0_24
| ~ spl0_33
| ~ spl0_148
| ~ spl0_191 ),
inference(avatar_contradiction_clause,[],[f23619]) ).
thf(f23625,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_695 ),
inference(constrained_superposition,[],[f20410,f443]) ).
thf(f23626,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_642
| ~ spl0_695 ),
inference(constrained_superposition,[],[f20410,f21584]) ).
thf(f23631,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_695 ),
inference(trivial_inequality_removal,[],[f23625]) ).
thf(f23634,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_642
| ~ spl0_695 ),
inference(trivial_inequality_removal,[],[f23626]) ).
thf(f23639,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_24
| ~ spl0_695 ),
inference(forward_subsumption_resolution,[],[f23631,f571]) ).
thf(f23640,plain,
( $false
| ~ spl0_606
| ~ spl0_642
| ~ spl0_695 ),
inference(forward_subsumption_resolution,[],[f23634,f20790]) ).
thf(f23641,plain,
( ~ spl0_606
| ~ spl0_642
| ~ spl0_695 ),
inference(avatar_contradiction_clause,[],[f23640]) ).
thf(f23644,plain,
( $false
| ~ spl0_24
| spl0_181
| ~ spl0_695 ),
inference(forward_subsumption_resolution,[],[f23639,f20712]) ).
thf(f23645,plain,
( ~ spl0_24
| spl0_181
| ~ spl0_695 ),
inference(avatar_contradiction_clause,[],[f23644]) ).
thf(f23674,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_653 ),
inference(forward_subsumption_resolution,[],[f23470,f24]) ).
thf(f23676,plain,
( spl0_605
| spl0_653 ),
inference(avatar_split_clause,[],[f23674,f17741,f16566]) ).
thf(f23682,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_609 ),
inference(constrained_superposition,[],[f27,f17545]) ).
thf(f23683,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_609 ),
inference(trivial_inequality_removal,[],[f23682]) ).
thf(f23723,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_609
| ~ spl0_690 ),
inference(constrained_superposition,[],[f23683,f19472]) ).
thf(f23726,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_609
| ~ spl0_639 ),
inference(constrained_superposition,[],[f23683,f17534]) ).
thf(f23735,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_609
| ~ spl0_639 ),
inference(trivial_inequality_removal,[],[f23726]) ).
thf(f23741,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_609
| ~ spl0_690 ),
inference(trivial_inequality_removal,[],[f23723]) ).
thf(f23743,plain,
( $false
| ~ spl0_3
| ~ spl0_609
| ~ spl0_639 ),
inference(forward_subsumption_resolution,[],[f23735,f154]) ).
thf(f23744,plain,
( ~ spl0_3
| ~ spl0_609
| ~ spl0_639 ),
inference(avatar_contradiction_clause,[],[f23743]) ).
thf(f23745,plain,
( $false
| ~ spl0_180
| ~ spl0_609
| ~ spl0_690 ),
inference(forward_subsumption_resolution,[],[f23741,f5254]) ).
thf(f23746,plain,
( ~ spl0_180
| ~ spl0_609
| ~ spl0_690 ),
inference(avatar_contradiction_clause,[],[f23745]) ).
thf(f23791,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_170
| ~ spl0_636 ),
inference(constrained_superposition,[],[f23349,f17507]) ).
thf(f23803,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_170
| ~ spl0_636 ),
inference(trivial_inequality_removal,[],[f23791]) ).
thf(f23806,plain,
( $false
| ~ spl0_170
| ~ spl0_636
| ~ spl0_648 ),
inference(forward_subsumption_resolution,[],[f23803,f17659]) ).
thf(f23807,plain,
( ~ spl0_170
| ~ spl0_636
| ~ spl0_648 ),
inference(avatar_contradiction_clause,[],[f23806]) ).
thf(f24087,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_187 ),
inference(forward_subsumption_resolution,[],[f23370,f24]) ).
thf(f24089,plain,
( spl0_496
| spl0_187 ),
inference(avatar_split_clause,[],[f24087,f5598,f12538]) ).
thf(f24090,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_496 ),
inference(constrained_superposition,[],[f82,f12539]) ).
thf(f24100,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_496 ),
inference(trivial_inequality_removal,[],[f24090]) ).
thf(f24113,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_638 ),
inference(constrained_superposition,[],[f17514,f444]) ).
thf(f24117,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_638 ),
inference(trivial_inequality_removal,[],[f24113]) ).
thf(f24161,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_138
| ~ spl0_171 ),
inference(constrained_superposition,[],[f23432,f5076]) ).
thf(f24170,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_138
| ~ spl0_171 ),
inference(trivial_inequality_removal,[],[f24161]) ).
thf(f24171,plain,
( $false
| ~ spl0_138
| ~ spl0_171
| ~ spl0_180 ),
inference(forward_subsumption_resolution,[],[f24170,f5254]) ).
thf(f24172,plain,
( ~ spl0_138
| ~ spl0_171
| ~ spl0_180 ),
inference(avatar_contradiction_clause,[],[f24171]) ).
thf(f24184,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_139 ),
inference(constrained_superposition,[],[f41,f2869]) ).
thf(f24197,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_139 ),
inference(trivial_inequality_removal,[],[f24184]) ).
thf(f24214,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_141 ),
inference(constrained_superposition,[],[f41,f2876]) ).
thf(f24218,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_141 ),
inference(trivial_inequality_removal,[],[f24214]) ).
thf(f24660,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_179 ),
inference(constrained_superposition,[],[f5236,f33]) ).
thf(f24667,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_179 ),
inference(trivial_inequality_removal,[],[f24660]) ).
thf(f24695,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_38
| ~ spl0_191 ),
inference(constrained_superposition,[],[f23213,f1044]) ).
thf(f24696,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_38
| ~ spl0_191 ),
inference(duplicate_literal_removal,[],[f24695]) ).
thf(f24697,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_38
| ~ spl0_191 ),
inference(trivial_inequality_removal,[],[f24696]) ).
thf(f24704,plain,
( spl0_33
| ~ spl0_38
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f24697,f5847,f1043,f1021]) ).
thf(f24706,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_170
| ~ spl0_638 ),
inference(forward_subsumption_resolution,[],[f24117,f5070]) ).
thf(f24707,plain,
( spl0_653
| ~ spl0_170
| ~ spl0_638 ),
inference(avatar_split_clause,[],[f24706,f17513,f5069,f17741]) ).
thf(f24708,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_139
| ~ spl0_624 ),
inference(constrained_superposition,[],[f2869,f20857]) ).
thf(f24709,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_141
| ~ spl0_624 ),
inference(constrained_superposition,[],[f2876,f20857]) ).
thf(f24832,plain,
( $false
| ~ spl0_141
| ~ spl0_624 ),
inference(forward_subsumption_resolution,[],[f24709,f30]) ).
thf(f24833,plain,
( ~ spl0_141
| ~ spl0_624 ),
inference(avatar_contradiction_clause,[],[f24832]) ).
thf(f24834,plain,
( $false
| ~ spl0_139
| ~ spl0_624 ),
inference(forward_subsumption_resolution,[],[f24708,f30]) ).
thf(f24835,plain,
( ~ spl0_139
| ~ spl0_624 ),
inference(avatar_contradiction_clause,[],[f24834]) ).
thf(f24846,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_174 ),
inference(constrained_superposition,[],[f82,f5089]) ).
thf(f24849,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_174 ),
inference(constrained_superposition,[],[f27,f5089]) ).
thf(f24852,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_174 ),
inference(trivial_inequality_removal,[],[f24849]) ).
thf(f24853,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_174 ),
inference(trivial_inequality_removal,[],[f24846]) ).
thf(f24863,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) )
| spl0_624 ),
inference(extensionality_resolution,[],[f78,f17180]) ).
thf(f24864,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_624 ),
inference(extensionality_resolution,[],[f35,f17180]) ).
thf(f24865,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_624 ),
inference(extensionality_resolution,[],[f35,f17180]) ).
thf(f24866,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_624 ),
inference(extensionality_resolution,[],[f25,f17180]) ).
thf(f24867,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_624 ),
inference(extensionality_resolution,[],[f25,f17180]) ).
thf(f24868,plain,
( spl0_638
| spl0_637
| spl0_624 ),
inference(avatar_split_clause,[],[f24863,f17179,f17509,f17513]) ).
thf(f24869,plain,
( spl0_636
| spl0_637
| spl0_624 ),
inference(avatar_split_clause,[],[f24865,f17179,f17509,f17506]) ).
thf(f24871,plain,
( spl0_633
| spl0_635
| spl0_624 ),
inference(avatar_split_clause,[],[f24864,f17179,f17502,f17495]) ).
thf(f24903,plain,
( ~ spl0_3
| spl0_191
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f23423,f5253,f5847,f84]) ).
thf(f24910,plain,
( spl0_7
| spl0_734
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f23301,f5153,f20900,f134]) ).
thf(f24911,plain,
( ~ spl0_7
| spl0_191
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f23151,f5253,f5847,f134]) ).
thf(f24977,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_1
| ~ spl0_606 ),
inference(constrained_superposition,[],[f10626,f20790]) ).
thf(f24986,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_606 ),
inference(trivial_inequality_removal,[],[f24977]) ).
thf(f25025,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_605 ),
inference(constrained_superposition,[],[f271,f16567]) ).
thf(f25029,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_605 ),
inference(trivial_inequality_removal,[],[f25025]) ).
thf(f25101,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_1
| ~ spl0_644 ),
inference(constrained_superposition,[],[f10625,f21582]) ).
thf(f25106,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_644 ),
inference(trivial_inequality_removal,[],[f25101]) ).
thf(f25173,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_1
| ~ spl0_637 ),
inference(constrained_superposition,[],[f10625,f17510]) ).
thf(f25176,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_637 ),
inference(trivial_inequality_removal,[],[f25173]) ).
thf(f25286,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_633
| ~ spl0_734 ),
inference(constrained_superposition,[],[f20901,f17496]) ).
thf(f25288,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 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_633
| ~ spl0_734 ),
inference(trivial_inequality_removal,[],[f25286]) ).
thf(f25294,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_606
| ~ spl0_633
| ~ spl0_734 ),
inference(forward_subsumption_resolution,[],[f25288,f20790]) ).
thf(f25295,plain,
( spl0_652
| ~ spl0_606
| ~ spl0_633
| ~ spl0_734 ),
inference(avatar_split_clause,[],[f25294,f20900,f17495,f16569,f17680]) ).
thf(f25301,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_606
| ~ spl0_652 ),
inference(constrained_superposition,[],[f17681,f20790]) ).
thf(f25309,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_606
| ~ spl0_652 ),
inference(trivial_inequality_removal,[],[f25301]) ).
thf(f25315,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_178
| ~ spl0_606
| ~ spl0_652 ),
inference(forward_subsumption_resolution,[],[f25309,f5154]) ).
thf(f25317,plain,
( ~ spl0_12
| ~ spl0_178
| ~ spl0_606
| ~ spl0_652 ),
inference(avatar_split_clause,[],[f25315,f17680,f16569,f5153,f218]) ).
thf(f25336,plain,
( ~ spl0_7
| spl0_205
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f23410,f4561,f6862,f134]) ).
thf(f25347,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_1
| spl0_3
| ~ spl0_606 ),
inference(forward_subsumption_resolution,[],[f24986,f85]) ).
thf(f25353,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_1
| spl0_3
| ~ spl0_606 ),
inference(forward_subsumption_resolution,[],[f25347,f24]) ).
thf(f25356,plain,
( spl0_609
| ~ spl0_1
| spl0_3
| ~ spl0_606 ),
inference(avatar_split_clause,[],[f25353,f16569,f84,f60,f16585]) ).
thf(f25373,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true ) )
| ~ spl0_191 ),
inference(constrained_superposition,[],[f29,f5848]) ).
thf(f25375,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_191 ),
inference(trivial_inequality_removal,[],[f25373]) ).
thf(f25390,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_32
| ~ spl0_205 ),
inference(constrained_superposition,[],[f9019,f6863]) ).
thf(f25407,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_32
| ~ spl0_205 ),
inference(trivial_inequality_removal,[],[f25390]) ).
thf(f25464,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( z
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_1
| ~ spl0_647 ),
inference(constrained_superposition,[],[f10625,f17760]) ).
thf(f25472,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( z
= ( s @ z ) )
| ~ spl0_1
| ~ spl0_647 ),
inference(trivial_inequality_removal,[],[f25464]) ).
thf(f25512,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_174 ),
inference(constrained_superposition,[],[f24852,f73]) ).
thf(f25523,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_174 ),
inference(trivial_inequality_removal,[],[f25512]) ).
thf(f25580,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_191
| ~ spl0_205 ),
inference(constrained_superposition,[],[f25375,f6863]) ).
thf(f25587,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_191
| ~ spl0_205 ),
inference(duplicate_literal_removal,[],[f25580]) ).
thf(f25588,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_191
| ~ spl0_205 ),
inference(trivial_inequality_removal,[],[f25587]) ).
thf(f25589,plain,
( spl0_33
| ~ spl0_191
| ~ spl0_205 ),
inference(avatar_split_clause,[],[f25588,f6862,f5847,f1021]) ).
thf(f25593,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ~ spl0_1
| ~ spl0_647 ),
inference(forward_subsumption_resolution,[],[f25472,f24]) ).
thf(f25609,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ~ spl0_1
| ~ spl0_647 ),
inference(forward_subsumption_resolution,[],[f25593,f24]) ).
thf(f25612,plain,
( spl0_3
| spl0_609
| ~ spl0_1
| ~ spl0_647 ),
inference(avatar_split_clause,[],[f25609,f17648,f60,f16585,f84]) ).
thf(f25614,plain,
( spl0_647
| ~ spl0_29
| ~ spl0_605 ),
inference(avatar_split_clause,[],[f25029,f16566,f665,f17648]) ).
thf(f25618,plain,
( ~ spl0_19
| spl0_181
| ~ spl0_32
| ~ spl0_205 ),
inference(avatar_split_clause,[],[f25407,f6862,f720,f5257,f544]) ).
thf(f25759,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_136 ),
inference(constrained_superposition,[],[f6585,f25]) ).
thf(f25760,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_136 ),
inference(trivial_inequality_removal,[],[f25759]) ).
thf(f25768,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_216 ),
inference(avatar_component_clause,[],[f7431]) ).
thf(f25792,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_606 ),
inference(constrained_superposition,[],[f16570,f25]) ).
thf(f25793,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_606 ),
inference(trivial_inequality_removal,[],[f25792]) ).
thf(f25795,plain,
( spl0_232
| spl0_639
| spl0_606 ),
inference(avatar_split_clause,[],[f25793,f16569,f17533,f10193]) ).
thf(f25846,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_1
| ~ spl0_667 ),
inference(constrained_superposition,[],[f10625,f19063]) ).
thf(f25849,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_1
| ~ spl0_667 ),
inference(trivial_inequality_removal,[],[f25846]) ).
thf(f25858,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_1
| ~ spl0_667 ),
inference(forward_subsumption_resolution,[],[f25849,f24]) ).
thf(f25863,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_1
| spl0_609
| ~ spl0_667 ),
inference(forward_subsumption_resolution,[],[f25858,f16586]) ).
thf(f25866,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_1
| spl0_18
| spl0_609
| ~ spl0_667 ),
inference(forward_subsumption_resolution,[],[f25863,f6856]) ).
thf(f25869,plain,
( $false
| ~ spl0_1
| spl0_18
| spl0_609
| ~ spl0_667 ),
inference(forward_subsumption_resolution,[],[f25866,f24]) ).
thf(f25870,plain,
( ~ spl0_1
| spl0_18
| spl0_609
| ~ spl0_667 ),
inference(avatar_contradiction_clause,[],[f25869]) ).
thf(f25873,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| spl0_667 ),
inference(constrained_superposition,[],[f17863,f25]) ).
thf(f25874,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_667 ),
inference(trivial_inequality_removal,[],[f25873]) ).
thf(f25879,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_139
| ~ spl0_695 ),
inference(constrained_superposition,[],[f20410,f2869]) ).
thf(f25889,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_139
| ~ spl0_695 ),
inference(trivial_inequality_removal,[],[f25879]) ).
thf(f25891,plain,
( $false
| ~ spl0_139
| ~ spl0_178
| ~ spl0_695 ),
inference(forward_subsumption_resolution,[],[f25889,f5154]) ).
thf(f25892,plain,
( ~ spl0_139
| ~ spl0_178
| ~ spl0_695 ),
inference(avatar_contradiction_clause,[],[f25891]) ).
thf(f25893,plain,
( spl0_211
| spl0_181
| spl0_136 ),
inference(avatar_split_clause,[],[f25760,f2858,f5257,f7162]) ).
thf(f25896,plain,
( spl0_641
| spl0_648
| spl0_667 ),
inference(avatar_split_clause,[],[f25874,f17862,f17658,f17541]) ).
thf(f25897,plain,
( spl0_163
| spl0_184
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f24218,f2875,f5435,f4561]) ).
thf(f25936,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_205 ),
inference(constrained_superposition,[],[f9126,f25]) ).
thf(f25937,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_205 ),
inference(trivial_inequality_removal,[],[f25936]) ).
thf(f25938,plain,
( spl0_223
| spl0_217
| spl0_205 ),
inference(avatar_split_clause,[],[f25937,f6862,f7435,f8222]) ).
thf(f25940,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_217 ),
inference(constrained_superposition,[],[f647,f9130]) ).
thf(f25943,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_217 ),
inference(trivial_inequality_removal,[],[f25940]) ).
thf(f25947,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_22
| ~ spl0_217 ),
inference(forward_subsumption_resolution,[],[f25943,f1153]) ).
thf(f25948,plain,
( spl0_148
| ~ spl0_22
| ~ spl0_217 ),
inference(avatar_split_clause,[],[f25947,f7435,f554,f4261]) ).
thf(f25949,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_148
| ~ spl0_155 ),
inference(constrained_superposition,[],[f4407,f4262]) ).
thf(f25955,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_1
| ~ spl0_148 ),
inference(constrained_superposition,[],[f10626,f4262]) ).
thf(f25958,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_148 ),
inference(constrained_superposition,[],[f41,f4262]) ).
thf(f25961,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_148
| ~ spl0_155 ),
inference(trivial_inequality_removal,[],[f25949]) ).
thf(f25966,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_148 ),
inference(trivial_inequality_removal,[],[f25958]) ).
thf(f25968,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_1
| ~ spl0_148 ),
inference(trivial_inequality_removal,[],[f25955]) ).
thf(f25977,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_181 ),
inference(constrained_superposition,[],[f82,f5258]) ).
thf(f25979,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_181 ),
inference(constrained_superposition,[],[f271,f5258]) ).
thf(f25982,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f25977]) ).
thf(f25984,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f25979]) ).
thf(f25998,plain,
( ( z
= ( s @ z ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_1
| ~ spl0_19 ),
inference(constrained_superposition,[],[f10625,f545]) ).
thf(f26001,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( z
= ( s @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_1
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f25998]) ).
thf(f26008,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| ~ spl0_1
| spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f26001,f6856]) ).
thf(f26011,plain,
( ( z
= ( s @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_1
| spl0_3
| spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f26008,f85]) ).
thf(f26014,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_1
| spl0_3
| spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f26011,f24]) ).
thf(f26017,plain,
( $false
| ~ spl0_1
| spl0_3
| spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f26014,f24]) ).
thf(f26018,plain,
( ~ spl0_1
| spl0_3
| spl0_18
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f26017]) ).
thf(f26029,plain,
( ~ spl0_7
| spl0_178
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f24853,f5088,f5153,f134]) ).
thf(f26030,plain,
( ~ spl0_217
| spl0_19
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f25984,f5257,f544,f7435]) ).
thf(f26032,plain,
( ~ spl0_190
| spl0_24
| ~ spl0_496 ),
inference(avatar_split_clause,[],[f24100,f12538,f570,f5844]) ).
thf(f26034,plain,
( spl0_140
| spl0_141
| spl0_624 ),
inference(avatar_split_clause,[],[f24867,f17179,f2875,f2872]) ).
thf(f26035,plain,
( ~ spl0_3
| spl0_178
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f25523,f5088,f5153,f84]) ).
thf(f26038,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_1
| ~ spl0_148 ),
inference(forward_subsumption_resolution,[],[f25968,f24]) ).
thf(f26039,plain,
( ~ spl0_22
| spl0_191
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f25982,f5257,f5847,f554]) ).
thf(f26040,plain,
( ~ spl0_182
| ~ spl0_160
| ~ spl0_148
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f25961,f4406,f4261,f4495,f5302]) ).
thf(f26047,plain,
( spl0_163
| spl0_164
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f25966,f4261,f4565,f4561]) ).
thf(f26054,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_1
| ~ spl0_644 ),
inference(forward_subsumption_resolution,[],[f25106,f24]) ).
thf(f26055,plain,
( spl0_171
| spl0_172
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f24197,f2868,f5080,f5075]) ).
thf(f26056,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_1
| spl0_18
| ~ spl0_148 ),
inference(forward_subsumption_resolution,[],[f26038,f6856]) ).
thf(f26061,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_1
| ~ spl0_644 ),
inference(forward_subsumption_resolution,[],[f26054,f24]) ).
thf(f26062,plain,
( spl0_180
| ~ spl0_1
| spl0_18
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f26056,f4261,f510,f60,f5253]) ).
thf(f26064,plain,
( spl0_180
| spl0_609
| ~ spl0_1
| ~ spl0_644 ),
inference(avatar_split_clause,[],[f26061,f17638,f60,f16585,f5253]) ).
thf(f26067,plain,
( spl0_171
| ~ spl0_69
| spl0_155
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f24667,f5235,f4406,f1664,f5075]) ).
thf(f26071,plain,
( spl0_138
| spl0_139
| spl0_624 ),
inference(avatar_split_clause,[],[f24866,f17179,f2868,f2865]) ).
thf(f26074,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1
| ~ spl0_637 ),
inference(forward_subsumption_resolution,[],[f25176,f24]) ).
thf(f26076,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_1
| ~ spl0_637 ),
inference(forward_subsumption_resolution,[],[f26074,f24]) ).
thf(f26077,plain,
( spl0_609
| spl0_174
| ~ spl0_1
| ~ spl0_637 ),
inference(avatar_split_clause,[],[f26076,f17509,f60,f5088,f16585]) ).
thf(f26096,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f27,f511]) ).
thf(f26100,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f26096]) ).
thf(f26101,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_150 ),
inference(constrained_superposition,[],[f271,f4269]) ).
thf(f26103,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_150 ),
inference(trivial_inequality_removal,[],[f26101]) ).
thf(f26105,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_3
| ~ spl0_150 ),
inference(forward_subsumption_resolution,[],[f26103,f154]) ).
thf(f26106,plain,
( spl0_19
| ~ spl0_3
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f26105,f4268,f84,f544]) ).
thf(f26314,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_216 ),
inference(constrained_superposition,[],[f271,f25768]) ).
thf(f26319,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_216 ),
inference(trivial_inequality_removal,[],[f26314]) ).
thf(f26329,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_178 ),
inference(constrained_superposition,[],[f22323,f25]) ).
thf(f26330,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_178 ),
inference(trivial_inequality_removal,[],[f26329]) ).
thf(f26332,plain,
( spl0_190
| spl0_225
| spl0_178 ),
inference(avatar_split_clause,[],[f26330,f5153,f8229,f5844]) ).
thf(f26344,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_18
| ~ spl0_216 ),
inference(constrained_superposition,[],[f26100,f25768]) ).
thf(f26354,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_18
| ~ spl0_216 ),
inference(trivial_inequality_removal,[],[f26344]) ).
thf(f26383,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_187 ),
inference(constrained_superposition,[],[f491,f5599]) ).
thf(f26386,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_187 ),
inference(constrained_superposition,[],[f46,f5599]) ).
thf(f26393,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_187 ),
inference(trivial_inequality_removal,[],[f26386]) ).
thf(f26399,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_187 ),
inference(duplicate_literal_removal,[],[f26383]) ).
thf(f26400,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_187 ),
inference(trivial_inequality_removal,[],[f26399]) ).
thf(f26401,plain,
( spl0_32
| spl0_170
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f26400,f5598,f5069,f720]) ).
thf(f26451,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_138 ),
inference(constrained_superposition,[],[f271,f2866]) ).
thf(f26453,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_138 ),
inference(trivial_inequality_removal,[],[f26451]) ).
thf(f26458,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_140 ),
inference(constrained_superposition,[],[f82,f2873]) ).
thf(f26460,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_140 ),
inference(constrained_superposition,[],[f647,f2873]) ).
thf(f26461,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_140 ),
inference(constrained_superposition,[],[f271,f2873]) ).
thf(f26464,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_140 ),
inference(trivial_inequality_removal,[],[f26458]) ).
thf(f26465,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_140 ),
inference(trivial_inequality_removal,[],[f26460]) ).
thf(f26466,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_140 ),
inference(trivial_inequality_removal,[],[f26461]) ).
thf(f26502,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_653 ),
inference(constrained_superposition,[],[f491,f19072]) ).
thf(f26515,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_653 ),
inference(duplicate_literal_removal,[],[f26502]) ).
thf(f26516,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_653 ),
inference(trivial_inequality_removal,[],[f26515]) ).
thf(f26527,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_695 ),
inference(constrained_superposition,[],[f20410,f34]) ).
thf(f26537,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_695 ),
inference(trivial_inequality_removal,[],[f26527]) ).
thf(f26539,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_18
| ~ spl0_216
| ~ spl0_695 ),
inference(forward_subsumption_resolution,[],[f26537,f26354]) ).
thf(f26540,plain,
( ~ spl0_153
| ~ spl0_18
| ~ spl0_216
| ~ spl0_695 ),
inference(avatar_split_clause,[],[f26539,f20409,f7431,f510,f4286]) ).
thf(f26560,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_644 ),
inference(constrained_superposition,[],[f17639,f71]) ).
thf(f26561,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_644 ),
inference(constrained_superposition,[],[f17639,f25]) ).
thf(f26562,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_644 ),
inference(trivial_inequality_removal,[],[f26560]) ).
thf(f26563,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_644 ),
inference(trivial_inequality_removal,[],[f26561]) ).
thf(f26564,plain,
( spl0_690
| spl0_223
| spl0_644 ),
inference(avatar_split_clause,[],[f26562,f17638,f8222,f19471]) ).
thf(f26565,plain,
( spl0_690
| spl0_640
| spl0_644 ),
inference(avatar_split_clause,[],[f26563,f17638,f17538,f19471]) ).
thf(f26627,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_642 ),
inference(constrained_superposition,[],[f46,f21584]) ).
thf(f26629,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_1
| ~ spl0_642 ),
inference(constrained_superposition,[],[f10625,f21584]) ).
thf(f26634,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_642 ),
inference(trivial_inequality_removal,[],[f26627]) ).
thf(f26636,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_1
| ~ spl0_642 ),
inference(trivial_inequality_removal,[],[f26629]) ).
thf(f26642,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_1
| ~ spl0_18
| ~ spl0_216
| ~ spl0_642 ),
inference(forward_subsumption_resolution,[],[f26636,f26354]) ).
thf(f26646,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_18
| ~ spl0_216
| ~ spl0_642 ),
inference(forward_subsumption_resolution,[],[f26642,f24]) ).
thf(f26648,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_18
| ~ spl0_216
| spl0_609
| ~ spl0_642 ),
inference(forward_subsumption_resolution,[],[f26646,f16586]) ).
thf(f26651,plain,
( $false
| ~ spl0_1
| ~ spl0_18
| ~ spl0_216
| spl0_609
| ~ spl0_642 ),
inference(forward_subsumption_resolution,[],[f26648,f24]) ).
thf(f26652,plain,
( ~ spl0_1
| ~ spl0_18
| ~ spl0_216
| spl0_609
| ~ spl0_642 ),
inference(avatar_contradiction_clause,[],[f26651]) ).
thf(f26657,plain,
( ~ spl0_217
| spl0_207
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f26453,f2865,f7107,f7435]) ).
thf(f26658,plain,
( ~ spl0_160
| spl0_654
| spl0_161
| ~ spl0_642 ),
inference(avatar_split_clause,[],[f26634,f17628,f4498,f17751,f4495]) ).
thf(f26663,plain,
( spl0_205
| ~ spl0_224
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f26466,f2872,f8226,f6862]) ).
thf(f26673,plain,
( spl0_205
| ~ spl0_29
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f26319,f7431,f665,f6862]) ).
thf(f26678,plain,
( spl0_32
| spl0_648
| ~ spl0_653 ),
inference(avatar_split_clause,[],[f26516,f17741,f17658,f720]) ).
thf(f26692,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_150 ),
inference(constrained_superposition,[],[f27,f4269]) ).
thf(f26693,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_150 ),
inference(trivial_inequality_removal,[],[f26692]) ).
thf(f26700,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_19 ),
inference(constrained_superposition,[],[f46,f545]) ).
thf(f26704,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f26700]) ).
thf(f26715,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_205 ),
inference(constrained_superposition,[],[f46,f6863]) ).
thf(f26719,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_205 ),
inference(trivial_inequality_removal,[],[f26715]) ).
thf(f26724,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true ) )
| spl0_163
| ~ spl0_205 ),
inference(forward_subsumption_resolution,[],[f26719,f20963]) ).
thf(f26726,plain,
( ~ spl0_12
| spl0_13
| spl0_163
| ~ spl0_205 ),
inference(avatar_split_clause,[],[f26724,f6862,f4561,f221,f218]) ).
thf(f26776,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_207 ),
inference(constrained_superposition,[],[f46,f7108]) ).
thf(f26781,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_207 ),
inference(trivial_inequality_removal,[],[f26776]) ).
thf(f26802,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_150
| ~ spl0_170 ),
inference(constrained_superposition,[],[f26693,f5070]) ).
thf(f26809,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_150
| ~ spl0_170 ),
inference(trivial_inequality_removal,[],[f26802]) ).
thf(f26818,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_647 ),
inference(constrained_superposition,[],[f17649,f25]) ).
thf(f26819,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_647 ),
inference(trivial_inequality_removal,[],[f26818]) ).
thf(f26820,plain,
( spl0_684
| spl0_232
| spl0_647 ),
inference(avatar_split_clause,[],[f26819,f17648,f10193,f18754]) ).
thf(f26870,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f82,f64]) ).
thf(f26871,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_2
| ~ spl0_18
| ~ spl0_216 ),
inference(constrained_superposition,[],[f26354,f64]) ).
thf(f26872,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_2
| spl0_609 ),
inference(constrained_superposition,[],[f16586,f64]) ).
thf(f26876,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f26870]) ).
thf(f26878,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_2
| spl0_609 ),
inference(trivial_inequality_removal,[],[f26872]) ).
thf(f26879,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_18
| ~ spl0_216 ),
inference(trivial_inequality_removal,[],[f26871]) ).
thf(f26883,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_2
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f26876,f145]) ).
thf(f26884,plain,
( $false
| ~ spl0_2
| spl0_609
| spl0_654 ),
inference(forward_subsumption_resolution,[],[f26878,f22642]) ).
thf(f26885,plain,
( ~ spl0_2
| spl0_609
| spl0_654 ),
inference(avatar_contradiction_clause,[],[f26884]) ).
thf(f26886,plain,
( $false
| ~ spl0_2
| ~ spl0_18
| spl0_163
| ~ spl0_216 ),
inference(forward_subsumption_resolution,[],[f26879,f20963]) ).
thf(f26887,plain,
( ~ spl0_2
| ~ spl0_18
| spl0_163
| ~ spl0_216 ),
inference(avatar_contradiction_clause,[],[f26886]) ).
thf(f26888,plain,
( spl0_4
| ~ spl0_2
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f26883,f134,f63,f87]) ).
thf(f26889,plain,
( ~ spl0_131
| spl0_178
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f26464,f2872,f5153,f2802]) ).
thf(f26890,plain,
( spl0_148
| ~ spl0_496
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f26465,f2872,f12538,f4261]) ).
thf(f26892,plain,
( spl0_171
| spl0_13
| ~ spl0_12
| ~ spl0_207 ),
inference(avatar_split_clause,[],[f26781,f7107,f218,f221,f5075]) ).
thf(f26914,plain,
( $false
| ~ spl0_150
| ~ spl0_170
| ~ spl0_171 ),
inference(forward_subsumption_resolution,[],[f26809,f5076]) ).
thf(f26915,plain,
( ~ spl0_150
| ~ spl0_170
| ~ spl0_171 ),
inference(avatar_contradiction_clause,[],[f26914]) ).
thf(f26921,plain,
( ~ spl0_12
| spl0_150
| spl0_13
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f26704,f544,f221,f4268,f218]) ).
thf(f26923,plain,
( ~ spl0_16
| spl0_155
| spl0_171
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f26393,f5598,f5075,f4406,f500]) ).
thf(f26928,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_2
| spl0_18 ),
inference(constrained_superposition,[],[f6856,f64]) ).
thf(f26929,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_2
| spl0_18 ),
inference(trivial_inequality_removal,[],[f26928]) ).
thf(f26986,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_207 ),
inference(constrained_superposition,[],[f8042,f25]) ).
thf(f26987,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_207 ),
inference(trivial_inequality_removal,[],[f26986]) ).
thf(f26988,plain,
( spl0_225
| spl0_224
| spl0_207 ),
inference(avatar_split_clause,[],[f26987,f7107,f8226,f8229]) ).
thf(f26990,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_148 ),
inference(constrained_superposition,[],[f22978,f25]) ).
thf(f26991,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_148 ),
inference(trivial_inequality_removal,[],[f26990]) ).
thf(f26993,plain,
( spl0_216
| spl0_211
| spl0_148 ),
inference(avatar_split_clause,[],[f26991,f4261,f7162,f7431]) ).
thf(f27013,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_609 ),
inference(constrained_superposition,[],[f82,f17545]) ).
thf(f27018,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_609 ),
inference(trivial_inequality_removal,[],[f27013]) ).
thf(f27019,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_7
| ~ spl0_609 ),
inference(forward_subsumption_resolution,[],[f27018,f145]) ).
thf(f27020,plain,
( spl0_606
| ~ spl0_7
| ~ spl0_609 ),
inference(avatar_split_clause,[],[f27019,f16585,f134,f16569]) ).
thf(f27022,plain,
( spl0_150
| ~ spl0_2
| spl0_18 ),
inference(avatar_split_clause,[],[f26929,f510,f63,f4268]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f65]) ).
cnf(s2,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f89]) ).
cnf(s13,plain,
( spl0_3
| spl0_12 ),
inference(sat_conversion,[],[f299]) ).
cnf(s15,plain,
( ~ spl0_2
| spl0_3
| spl0_7 ),
inference(sat_conversion,[],[f303]) ).
cnf(s19,plain,
( ~ spl0_17
| spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f549]) ).
cnf(s23,plain,
( ~ spl0_1
| spl0_3
| ~ spl0_17
| spl0_19
| spl0_23 ),
inference(sat_conversion,[],[f577]) ).
cnf(s25,plain,
( spl0_16
| spl0_18 ),
inference(sat_conversion,[],[f586]) ).
cnf(s27,plain,
( spl0_24
| spl0_27 ),
inference(sat_conversion,[],[f660]) ).
cnf(s32,plain,
( ~ spl0_6
| spl0_31
| spl0_32 ),
inference(sat_conversion,[],[f722]) ).
cnf(s50,plain,
( ~ spl0_6
| ~ spl0_32
| spl0_45 ),
inference(sat_conversion,[],[f1115]) ).
cnf(s68,plain,
( ~ spl0_6
| ~ spl0_31 ),
inference(sat_conversion,[],[f1187]) ).
cnf(s70,plain,
( ~ spl0_24
| spl0_50 ),
inference(sat_conversion,[],[f1208]) ).
cnf(s71,plain,
( spl0_7
| ~ spl0_12
| ~ spl0_24
| spl0_57 ),
inference(sat_conversion,[],[f1308]) ).
cnf(s94,plain,
( ~ spl0_1
| spl0_3
| spl0_18
| ~ spl0_24 ),
inference(sat_conversion,[],[f1683]) ).
cnf(s110,plain,
( ~ spl0_6
| spl0_25
| ~ spl0_45
| spl0_80 ),
inference(sat_conversion,[],[f2253]) ).
cnf(s217,plain,
~ spl0_25,
inference(sat_conversion,[],[f2843]) ).
cnf(s221,plain,
( spl0_25
| spl0_136
| spl0_137 ),
inference(sat_conversion,[],[f2863]) ).
cnf(s222,plain,
( spl0_25
| spl0_138
| spl0_139 ),
inference(sat_conversion,[],[f2870]) ).
cnf(s223,plain,
( spl0_25
| spl0_140
| spl0_141 ),
inference(sat_conversion,[],[f2877]) ).
cnf(s352,plain,
( ~ spl0_3
| spl0_51 ),
inference(sat_conversion,[],[f3896]) ).
cnf(s394,plain,
( spl0_25
| spl0_148
| spl0_149 ),
inference(sat_conversion,[],[f4266]) ).
cnf(s398,plain,
( ~ spl0_4
| spl0_24
| spl0_150 ),
inference(sat_conversion,[],[f4280]) ).
cnf(s399,plain,
( ~ spl0_4
| spl0_6
| spl0_7
| ~ spl0_33 ),
inference(sat_conversion,[],[f4281]) ).
cnf(s403,plain,
( spl0_7
| spl0_153 ),
inference(sat_conversion,[],[f4300]) ).
cnf(s408,plain,
( spl0_19
| spl0_25
| spl0_29 ),
inference(sat_conversion,[],[f4325]) ).
cnf(s423,plain,
~ spl0_80,
inference(sat_conversion,[],[f4460]) ).
cnf(s472,plain,
( ~ spl0_19
| ~ spl0_32
| spl0_57 ),
inference(sat_conversion,[],[f4918]) ).
cnf(s482,plain,
( ~ spl0_139
| ~ spl0_160
| spl0_161
| spl0_171 ),
inference(sat_conversion,[],[f5077]) ).
cnf(s497,plain,
( ~ spl0_13
| ~ spl0_16
| ~ spl0_19
| ~ spl0_69 ),
inference(sat_conversion,[],[f5203]) ).
cnf(s500,plain,
( ~ spl0_140
| ~ spl0_149
| spl0_171
| spl0_179 ),
inference(sat_conversion,[],[f5237]) ).
cnf(s503,plain,
( ~ spl0_16
| ~ spl0_148
| spl0_155
| spl0_163 ),
inference(sat_conversion,[],[f5251]) ).
cnf(s507,plain,
( spl0_163
| spl0_182 ),
inference(sat_conversion,[],[f5310]) ).
cnf(s523,plain,
( spl0_69
| ~ spl0_137
| ~ spl0_180 ),
inference(sat_conversion,[],[f5521]) ).
cnf(s528,plain,
( spl0_160
| spl0_180 ),
inference(sat_conversion,[],[f5596]) ).
cnf(s533,plain,
( spl0_69
| spl0_150 ),
inference(sat_conversion,[],[f5613]) ).
cnf(s550,plain,
( spl0_174
| spl0_185 ),
inference(sat_conversion,[],[f5779]) ).
cnf(s565,plain,
( ~ spl0_141
| ~ spl0_160
| ~ spl0_182
| ~ spl0_186 ),
inference(sat_conversion,[],[f6059]) ).
cnf(s569,plain,
( ~ spl0_27
| ~ spl0_131
| spl0_148 ),
inference(sat_conversion,[],[f6134]) ).
cnf(s584,plain,
( ~ spl0_20
| spl0_38
| ~ spl0_51 ),
inference(sat_conversion,[],[f6340]) ).
cnf(s602,plain,
( spl0_7
| ~ spl0_24
| ~ spl0_33
| ~ spl0_69 ),
inference(sat_conversion,[],[f6772]) ).
cnf(s603,plain,
( spl0_22
| spl0_24
| spl0_25 ),
inference(sat_conversion,[],[f6776]) ).
cnf(s614,plain,
( spl0_131
| spl0_191 ),
inference(sat_conversion,[],[f6850]) ).
cnf(s624,plain,
( ~ spl0_18
| spl0_19
| ~ spl0_51 ),
inference(sat_conversion,[],[f6879]) ).
cnf(s631,plain,
( ~ spl0_69
| spl0_155
| spl0_163
| ~ spl0_164 ),
inference(sat_conversion,[],[f6888]) ).
cnf(s632,plain,
( spl0_171
| spl0_189 ),
inference(sat_conversion,[],[f6889]) ).
cnf(s637,plain,
( ~ spl0_141
| spl0_163
| ~ spl0_185
| spl0_186 ),
inference(sat_conversion,[],[f6894]) ).
cnf(s641,plain,
( ~ spl0_19
| spl0_33
| ~ spl0_50 ),
inference(sat_conversion,[],[f6930]) ).
cnf(s646,plain,
( ~ spl0_18
| spl0_148
| ~ spl0_163 ),
inference(sat_conversion,[],[f6954]) ).
cnf(s647,plain,
( ~ spl0_51
| ~ spl0_180
| spl0_205 ),
inference(sat_conversion,[],[f6965]) ).
cnf(s661,plain,
( ~ spl0_3
| ~ spl0_163
| spl0_205 ),
inference(sat_conversion,[],[f7128]) ).
cnf(s663,plain,
( spl0_170
| spl0_199 ),
inference(sat_conversion,[],[f7158]) ).
cnf(s670,plain,
( spl0_170
| spl0_199
| spl0_212 ),
inference(sat_conversion,[],[f7176]) ).
cnf(s674,plain,
( spl0_137
| ~ spl0_181 ),
inference(sat_conversion,[],[f7201]) ).
cnf(s675,plain,
( ~ spl0_18
| ~ spl0_180
| ~ spl0_181 ),
inference(sat_conversion,[],[f7203]) ).
cnf(s683,plain,
( ~ spl0_22
| ~ spl0_170
| spl0_178 ),
inference(sat_conversion,[],[f7279]) ).
cnf(s688,plain,
( ~ spl0_18
| ~ spl0_170
| ~ spl0_174 ),
inference(sat_conversion,[],[f7353]) ).
cnf(s691,plain,
( ~ spl0_138
| spl0_187
| ~ spl0_216 ),
inference(sat_conversion,[],[f7433]) ).
cnf(s703,plain,
( ~ spl0_29
| ~ spl0_137
| spl0_191 ),
inference(sat_conversion,[],[f7559]) ).
cnf(s711,plain,
( ~ spl0_32
| ~ spl0_136
| ~ spl0_141
| ~ spl0_199 ),
inference(sat_conversion,[],[f7646]) ).
cnf(s715,plain,
( ~ spl0_1
| spl0_3
| ~ spl0_160
| ~ spl0_205 ),
inference(sat_conversion,[],[f7651]) ).
cnf(s718,plain,
( ~ spl0_1
| ~ spl0_12
| spl0_180
| ~ spl0_191 ),
inference(sat_conversion,[],[f7683]) ).
cnf(s736,plain,
( ~ spl0_155
| ~ spl0_185
| ~ spl0_187
| ~ spl0_189 ),
inference(sat_conversion,[],[f7880]) ).
cnf(s738,plain,
( ~ spl0_138
| ~ spl0_174
| ~ spl0_180 ),
inference(sat_conversion,[],[f7926]) ).
cnf(s742,plain,
( ~ spl0_140
| ~ spl0_174
| ~ spl0_180 ),
inference(sat_conversion,[],[f7968]) ).
cnf(s769,plain,
~ spl0_225,
inference(sat_conversion,[],[f8312]) ).
cnf(s771,plain,
( ~ spl0_136
| ~ spl0_151
| ~ spl0_160 ),
inference(sat_conversion,[],[f8314]) ).
cnf(s774,plain,
( ~ spl0_7
| ~ spl0_18
| spl0_24 ),
inference(sat_conversion,[],[f8318]) ).
cnf(s775,plain,
( ~ spl0_7
| spl0_47 ),
inference(sat_conversion,[],[f8321]) ).
cnf(s792,plain,
( ~ spl0_1
| ~ spl0_141
| ~ spl0_160
| spl0_174 ),
inference(sat_conversion,[],[f8487]) ).
cnf(s795,plain,
( ~ spl0_139
| ~ spl0_161
| ~ spl0_185
| ~ spl0_189 ),
inference(sat_conversion,[],[f8490]) ).
cnf(s800,plain,
( ~ spl0_47
| ~ spl0_163
| spl0_191 ),
inference(sat_conversion,[],[f8511]) ).
cnf(s802,plain,
( ~ spl0_18
| spl0_148
| ~ spl0_180 ),
inference(sat_conversion,[],[f8521]) ).
cnf(s804,plain,
( ~ spl0_47
| ~ spl0_171
| spl0_178 ),
inference(sat_conversion,[],[f8532]) ).
cnf(s810,plain,
( spl0_32
| ~ spl0_148
| spl0_181 ),
inference(sat_conversion,[],[f8598]) ).
cnf(s813,plain,
( spl0_19
| ~ spl0_170
| ~ spl0_224 ),
inference(sat_conversion,[],[f8638]) ).
cnf(s822,plain,
( ~ spl0_138
| ~ spl0_190
| spl0_191 ),
inference(sat_conversion,[],[f8766]) ).
cnf(s824,plain,
( ~ spl0_57
| ~ spl0_136
| ~ spl0_191 ),
inference(sat_conversion,[],[f8768]) ).
cnf(s843,plain,
~ spl0_223,
inference(sat_conversion,[],[f8939]) ).
cnf(s845,plain,
( ~ spl0_24
| ~ spl0_33
| spl0_170
| ~ spl0_178 ),
inference(sat_conversion,[],[f8972]) ).
cnf(s907,plain,
( ~ spl0_150
| ~ spl0_170
| ~ spl0_182
| ~ spl0_184
| spl0_186 ),
inference(sat_conversion,[],[f9698]) ).
cnf(s1054,plain,
( ~ spl0_7
| ~ spl0_23
| ~ spl0_131
| spl0_223 ),
inference(sat_conversion,[],[f10653]) ).
cnf(s1384,plain,
( ~ spl0_24
| ~ spl0_33
| ~ spl0_178
| spl0_212
| spl0_496 ),
inference(sat_conversion,[],[f12540]) ).
cnf(s1683,plain,
~ spl0_211,
inference(sat_conversion,[],[f17455]) ).
cnf(s1700,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_131
| spl0_606
| spl0_609
| spl0_640 ),
inference(sat_conversion,[],[f17547]) ).
cnf(s1706,plain,
( ~ spl0_33
| ~ spl0_178
| spl0_232
| ~ spl0_633
| spl0_639 ),
inference(sat_conversion,[],[f17634]) ).
cnf(s1709,plain,
( ~ spl0_1
| ~ spl0_185
| spl0_609
| ~ spl0_633 ),
inference(sat_conversion,[],[f17653]) ).
cnf(s1727,plain,
( ~ spl0_33
| ~ spl0_178
| ~ spl0_606
| ~ spl0_637 ),
inference(sat_conversion,[],[f17758]) ).
cnf(s1801,plain,
~ spl0_232,
inference(sat_conversion,[],[f18263]) ).
cnf(s1841,plain,
( ~ spl0_131
| spl0_191
| spl0_212
| ~ spl0_640 ),
inference(sat_conversion,[],[f18498]) ).
cnf(s1867,plain,
~ spl0_212,
inference(sat_conversion,[],[f18723]) ).
cnf(s1902,plain,
~ spl0_641,
inference(sat_conversion,[],[f19004]) ).
cnf(s1913,plain,
( ~ spl0_150
| spl0_225
| ~ spl0_654
| spl0_667 ),
inference(sat_conversion,[],[f19064]) ).
cnf(s1960,plain,
( ~ spl0_24
| ~ spl0_33
| spl0_232
| spl0_639
| ~ spl0_667 ),
inference(sat_conversion,[],[f19475]) ).
cnf(s1963,plain,
( ~ spl0_57
| ~ spl0_606
| ~ spl0_667 ),
inference(sat_conversion,[],[f19480]) ).
cnf(s1997,plain,
( ~ spl0_131
| spl0_191
| spl0_211
| ~ spl0_608 ),
inference(sat_conversion,[],[f19738]) ).
cnf(s2106,plain,
( ~ spl0_1
| ~ spl0_18
| ~ spl0_170
| spl0_608
| spl0_609
| ~ spl0_648 ),
inference(sat_conversion,[],[f20656]) ).
cnf(s2107,plain,
( ~ spl0_150
| ~ spl0_609
| ~ spl0_648 ),
inference(sat_conversion,[],[f20686]) ).
cnf(s2108,plain,
( ~ spl0_18
| ~ spl0_24
| ~ spl0_33
| spl0_232
| ~ spl0_609
| spl0_639
| spl0_641 ),
inference(sat_conversion,[],[f20687]) ).
cnf(s2110,plain,
( ~ spl0_18
| ~ spl0_609
| spl0_653 ),
inference(sat_conversion,[],[f20693]) ).
cnf(s2116,plain,
( ~ spl0_138
| ~ spl0_181
| spl0_187 ),
inference(sat_conversion,[],[f20713]) ).
cnf(s2120,plain,
( ~ spl0_138
| ~ spl0_181
| ~ spl0_496 ),
inference(sat_conversion,[],[f20726]) ).
cnf(s2121,plain,
( ~ spl0_18
| ~ spl0_174
| ~ spl0_496 ),
inference(sat_conversion,[],[f20728]) ).
cnf(s2136,plain,
( ~ spl0_29
| spl0_606
| ~ spl0_648 ),
inference(sat_conversion,[],[f20791]) ).
cnf(s2138,plain,
( ~ spl0_57
| spl0_170
| ~ spl0_178 ),
inference(sat_conversion,[],[f20799]) ).
cnf(s2152,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_131
| ~ spl0_181
| spl0_609
| spl0_640
| ~ spl0_648 ),
inference(sat_conversion,[],[f20843]) ).
cnf(s2163,plain,
( ~ spl0_1
| spl0_3
| ~ spl0_18
| ~ spl0_178
| ~ spl0_496 ),
inference(sat_conversion,[],[f20868]) ).
cnf(s2172,plain,
( spl0_648
| spl0_667 ),
inference(sat_conversion,[],[f20883]) ).
cnf(s2178,plain,
( ~ spl0_3
| ~ spl0_18
| spl0_24 ),
inference(sat_conversion,[],[f20897]) ).
cnf(s2182,plain,
( ~ spl0_7
| spl0_19
| ~ spl0_150 ),
inference(sat_conversion,[],[f20905]) ).
cnf(s2184,plain,
( spl0_24
| ~ spl0_47
| ~ spl0_150 ),
inference(sat_conversion,[],[f20910]) ).
cnf(s2205,plain,
( ~ spl0_1
| spl0_3
| spl0_174
| ~ spl0_178 ),
inference(sat_conversion,[],[f20961]) ).
cnf(s2206,plain,
( ~ spl0_1
| spl0_3
| spl0_174
| ~ spl0_207 ),
inference(sat_conversion,[],[f20962]) ).
cnf(s2211,plain,
( ~ spl0_1
| spl0_3
| spl0_724 ),
inference(sat_conversion,[],[f20982]) ).
cnf(s2222,plain,
( ~ spl0_18
| ~ spl0_174
| spl0_187
| spl0_223 ),
inference(sat_conversion,[],[f21044]) ).
cnf(s2232,plain,
( ~ spl0_138
| ~ spl0_624 ),
inference(sat_conversion,[],[f21159]) ).
cnf(s2239,plain,
( spl0_211
| ~ spl0_217
| ~ spl0_624 ),
inference(sat_conversion,[],[f21179]) ).
cnf(s2242,plain,
( ~ spl0_131
| spl0_191
| spl0_211
| ~ spl0_624 ),
inference(sat_conversion,[],[f21182]) ).
cnf(s2249,plain,
( spl0_171
| spl0_179
| ~ spl0_187 ),
inference(sat_conversion,[],[f21243]) ).
cnf(s2324,plain,
( ~ spl0_131
| spl0_212
| spl0_642
| ~ spl0_684 ),
inference(sat_conversion,[],[f21585]) ).
cnf(s2330,plain,
( ~ spl0_131
| spl0_212
| ~ spl0_639
| spl0_642 ),
inference(sat_conversion,[],[f21666]) ).
cnf(s2333,plain,
( ~ spl0_32
| ~ spl0_136
| spl0_640
| ~ spl0_667
| spl0_690 ),
inference(sat_conversion,[],[f21721]) ).
cnf(s2359,plain,
( ~ spl0_131
| spl0_606
| ~ spl0_690 ),
inference(sat_conversion,[],[f22040]) ).
cnf(s2370,plain,
( ~ spl0_32
| ~ spl0_136
| ~ spl0_642
| spl0_648 ),
inference(sat_conversion,[],[f22201]) ).
cnf(s2373,plain,
( spl0_223
| spl0_642
| spl0_746 ),
inference(sat_conversion,[],[f22216]) ).
cnf(s2374,plain,
( ~ spl0_174
| ~ spl0_609
| ~ spl0_635 ),
inference(sat_conversion,[],[f22265]) ).
cnf(s2376,plain,
( ~ spl0_138
| ~ spl0_635
| ~ spl0_746 ),
inference(sat_conversion,[],[f22268]) ).
cnf(s2380,plain,
( ~ spl0_32
| spl0_170
| ~ spl0_633
| ~ spl0_667 ),
inference(sat_conversion,[],[f22312]) ).
cnf(s2384,plain,
( ~ spl0_140
| spl0_178
| ~ spl0_217 ),
inference(sat_conversion,[],[f22318]) ).
cnf(s2388,plain,
( spl0_161
| spl0_171
| ~ spl0_172
| ~ spl0_182 ),
inference(sat_conversion,[],[f22327]) ).
cnf(s2449,plain,
( ~ spl0_180
| ~ spl0_609
| ~ spl0_746 ),
inference(sat_conversion,[],[f22917]) ).
cnf(s2450,plain,
( ~ spl0_32
| ~ spl0_136
| ~ spl0_139
| spl0_170 ),
inference(sat_conversion,[],[f22972]) ).
cnf(s2483,plain,
( ~ spl0_1
| spl0_18
| ~ spl0_136
| spl0_180 ),
inference(sat_conversion,[],[f23045]) ).
cnf(s2484,plain,
( ~ spl0_1
| spl0_18
| spl0_609
| ~ spl0_653 ),
inference(sat_conversion,[],[f23046]) ).
cnf(s2486,plain,
( ~ spl0_1
| spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f23048]) ).
cnf(s2489,plain,
( ~ spl0_1
| spl0_18
| spl0_174
| ~ spl0_199 ),
inference(sat_conversion,[],[f23051]) ).
cnf(s2490,plain,
( ~ spl0_1
| spl0_18
| spl0_174
| ~ spl0_187 ),
inference(sat_conversion,[],[f23052]) ).
cnf(s2501,plain,
( ~ spl0_32
| spl0_150
| spl0_151 ),
inference(sat_conversion,[],[f23074]) ).
cnf(s2502,plain,
( ~ spl0_32
| ~ spl0_136
| spl0_150
| spl0_163 ),
inference(sat_conversion,[],[f23075]) ).
cnf(s2523,plain,
( ~ spl0_47
| ~ spl0_639
| ~ spl0_654 ),
inference(sat_conversion,[],[f23327]) ).
cnf(s2531,plain,
( spl0_18
| spl0_22
| spl0_25
| ~ spl0_724 ),
inference(sat_conversion,[],[f23505]) ).
cnf(s2536,plain,
( ~ spl0_149
| ~ spl0_605
| ~ spl0_690 ),
inference(sat_conversion,[],[f23587]) ).
cnf(s2537,plain,
( ~ spl0_33
| ~ spl0_191
| spl0_695 ),
inference(sat_conversion,[],[f23604]) ).
cnf(s2538,plain,
( ~ spl0_24
| ~ spl0_33
| ~ spl0_148
| ~ spl0_191 ),
inference(sat_conversion,[],[f23620]) ).
cnf(s2540,plain,
( ~ spl0_606
| ~ spl0_642
| ~ spl0_695 ),
inference(sat_conversion,[],[f23641]) ).
cnf(s2542,plain,
( ~ spl0_24
| spl0_181
| ~ spl0_695 ),
inference(sat_conversion,[],[f23645]) ).
cnf(s2546,plain,
( spl0_605
| spl0_653 ),
inference(sat_conversion,[],[f23676]) ).
cnf(s2551,plain,
( ~ spl0_3
| ~ spl0_609
| ~ spl0_639 ),
inference(sat_conversion,[],[f23744]) ).
cnf(s2552,plain,
( ~ spl0_180
| ~ spl0_609
| ~ spl0_690 ),
inference(sat_conversion,[],[f23746]) ).
cnf(s2554,plain,
( ~ spl0_170
| ~ spl0_636
| ~ spl0_648 ),
inference(sat_conversion,[],[f23807]) ).
cnf(s2569,plain,
( spl0_187
| spl0_496 ),
inference(sat_conversion,[],[f24089]) ).
cnf(s2574,plain,
( ~ spl0_138
| ~ spl0_171
| ~ spl0_180 ),
inference(sat_conversion,[],[f24172]) ).
cnf(s2610,plain,
( spl0_33
| ~ spl0_38
| ~ spl0_191 ),
inference(sat_conversion,[],[f24704]) ).
cnf(s2612,plain,
( ~ spl0_170
| ~ spl0_638
| spl0_653 ),
inference(sat_conversion,[],[f24707]) ).
cnf(s2624,plain,
( ~ spl0_141
| ~ spl0_624 ),
inference(sat_conversion,[],[f24833]) ).
cnf(s2625,plain,
( ~ spl0_139
| ~ spl0_624 ),
inference(sat_conversion,[],[f24835]) ).
cnf(s2633,plain,
( spl0_624
| spl0_637
| spl0_638 ),
inference(sat_conversion,[],[f24868]) ).
cnf(s2634,plain,
( spl0_624
| spl0_636
| spl0_637 ),
inference(sat_conversion,[],[f24869]) ).
cnf(s2636,plain,
( spl0_624
| spl0_633
| spl0_635 ),
inference(sat_conversion,[],[f24871]) ).
cnf(s2641,plain,
( ~ spl0_3
| ~ spl0_180
| spl0_191 ),
inference(sat_conversion,[],[f24903]) ).
cnf(s2645,plain,
( spl0_7
| ~ spl0_178
| spl0_734 ),
inference(sat_conversion,[],[f24910]) ).
cnf(s2646,plain,
( ~ spl0_7
| ~ spl0_180
| spl0_191 ),
inference(sat_conversion,[],[f24911]) ).
cnf(s2669,plain,
( ~ spl0_606
| ~ spl0_633
| spl0_652
| ~ spl0_734 ),
inference(sat_conversion,[],[f25295]) ).
cnf(s2670,plain,
( ~ spl0_12
| ~ spl0_178
| ~ spl0_606
| ~ spl0_652 ),
inference(sat_conversion,[],[f25317]) ).
cnf(s2679,plain,
( ~ spl0_7
| ~ spl0_163
| spl0_205 ),
inference(sat_conversion,[],[f25336]) ).
cnf(s2694,plain,
( ~ spl0_1
| spl0_3
| ~ spl0_606
| spl0_609 ),
inference(sat_conversion,[],[f25356]) ).
cnf(s2703,plain,
( spl0_33
| ~ spl0_191
| ~ spl0_205 ),
inference(sat_conversion,[],[f25589]) ).
cnf(s2718,plain,
( ~ spl0_1
| spl0_3
| spl0_609
| ~ spl0_647 ),
inference(sat_conversion,[],[f25612]) ).
cnf(s2720,plain,
( ~ spl0_29
| ~ spl0_605
| spl0_647 ),
inference(sat_conversion,[],[f25614]) ).
cnf(s2724,plain,
( ~ spl0_19
| ~ spl0_32
| spl0_181
| ~ spl0_205 ),
inference(sat_conversion,[],[f25618]) ).
cnf(s2744,plain,
( spl0_232
| spl0_606
| spl0_639 ),
inference(sat_conversion,[],[f25795]) ).
cnf(s2753,plain,
( ~ spl0_1
| spl0_18
| spl0_609
| ~ spl0_667 ),
inference(sat_conversion,[],[f25870]) ).
cnf(s2754,plain,
( ~ spl0_139
| ~ spl0_178
| ~ spl0_695 ),
inference(sat_conversion,[],[f25892]) ).
cnf(s2755,plain,
( spl0_136
| spl0_181
| spl0_211 ),
inference(sat_conversion,[],[f25893]) ).
cnf(s2758,plain,
( spl0_641
| spl0_648
| spl0_667 ),
inference(sat_conversion,[],[f25896]) ).
cnf(s2759,plain,
( ~ spl0_141
| spl0_163
| spl0_184 ),
inference(sat_conversion,[],[f25897]) ).
cnf(s2773,plain,
( spl0_205
| spl0_217
| spl0_223 ),
inference(sat_conversion,[],[f25938]) ).
cnf(s2774,plain,
( ~ spl0_22
| spl0_148
| ~ spl0_217 ),
inference(sat_conversion,[],[f25948]) ).
cnf(s2782,plain,
( ~ spl0_1
| spl0_3
| spl0_18
| ~ spl0_19 ),
inference(sat_conversion,[],[f26018]) ).
cnf(s2789,plain,
( ~ spl0_7
| ~ spl0_174
| spl0_178 ),
inference(sat_conversion,[],[f26029]) ).
cnf(s2790,plain,
( spl0_19
| ~ spl0_181
| ~ spl0_217 ),
inference(sat_conversion,[],[f26030]) ).
cnf(s2792,plain,
( spl0_24
| ~ spl0_190
| ~ spl0_496 ),
inference(sat_conversion,[],[f26032]) ).
cnf(s2794,plain,
( spl0_140
| spl0_141
| spl0_624 ),
inference(sat_conversion,[],[f26034]) ).
cnf(s2795,plain,
( ~ spl0_3
| ~ spl0_174
| spl0_178 ),
inference(sat_conversion,[],[f26035]) ).
cnf(s2798,plain,
( ~ spl0_22
| ~ spl0_181
| spl0_191 ),
inference(sat_conversion,[],[f26039]) ).
cnf(s2799,plain,
( ~ spl0_148
| ~ spl0_155
| ~ spl0_160
| ~ spl0_182 ),
inference(sat_conversion,[],[f26040]) ).
cnf(s2803,plain,
( ~ spl0_148
| spl0_163
| spl0_164 ),
inference(sat_conversion,[],[f26047]) ).
cnf(s2806,plain,
( ~ spl0_139
| spl0_171
| spl0_172 ),
inference(sat_conversion,[],[f26055]) ).
cnf(s2810,plain,
( ~ spl0_1
| spl0_18
| ~ spl0_148
| spl0_180 ),
inference(sat_conversion,[],[f26062]) ).
cnf(s2811,plain,
( ~ spl0_1
| spl0_180
| spl0_609
| ~ spl0_644 ),
inference(sat_conversion,[],[f26064]) ).
cnf(s2815,plain,
( ~ spl0_69
| spl0_155
| spl0_171
| ~ spl0_179 ),
inference(sat_conversion,[],[f26067]) ).
cnf(s2819,plain,
( spl0_138
| spl0_139
| spl0_624 ),
inference(sat_conversion,[],[f26071]) ).
cnf(s2822,plain,
( ~ spl0_1
| spl0_174
| spl0_609
| ~ spl0_637 ),
inference(sat_conversion,[],[f26077]) ).
cnf(s2826,plain,
( ~ spl0_3
| spl0_19
| ~ spl0_150 ),
inference(sat_conversion,[],[f26106]) ).
cnf(s2855,plain,
( spl0_178
| spl0_190
| spl0_225 ),
inference(sat_conversion,[],[f26332]) ).
cnf(s2863,plain,
( spl0_32
| spl0_170
| ~ spl0_187 ),
inference(sat_conversion,[],[f26401]) ).
cnf(s2870,plain,
( ~ spl0_18
| ~ spl0_153
| ~ spl0_216
| ~ spl0_695 ),
inference(sat_conversion,[],[f26540]) ).
cnf(s2873,plain,
( spl0_223
| spl0_644
| spl0_690 ),
inference(sat_conversion,[],[f26564]) ).
cnf(s2874,plain,
( spl0_640
| spl0_644
| spl0_690 ),
inference(sat_conversion,[],[f26565]) ).
cnf(s2880,plain,
( ~ spl0_1
| ~ spl0_18
| ~ spl0_216
| spl0_609
| ~ spl0_642 ),
inference(sat_conversion,[],[f26652]) ).
cnf(s2882,plain,
( ~ spl0_138
| spl0_207
| ~ spl0_217 ),
inference(sat_conversion,[],[f26657]) ).
cnf(s2883,plain,
( ~ spl0_160
| spl0_161
| ~ spl0_642
| spl0_654 ),
inference(sat_conversion,[],[f26658]) ).
cnf(s2887,plain,
( ~ spl0_140
| spl0_205
| ~ spl0_224 ),
inference(sat_conversion,[],[f26663]) ).
cnf(s2891,plain,
( ~ spl0_29
| spl0_205
| ~ spl0_216 ),
inference(sat_conversion,[],[f26673]) ).
cnf(s2896,plain,
( spl0_32
| spl0_648
| ~ spl0_653 ),
inference(sat_conversion,[],[f26678]) ).
cnf(s2910,plain,
( ~ spl0_12
| spl0_13
| spl0_163
| ~ spl0_205 ),
inference(sat_conversion,[],[f26726]) ).
cnf(s2918,plain,
( spl0_232
| spl0_647
| spl0_684 ),
inference(sat_conversion,[],[f26820]) ).
cnf(s2921,plain,
( ~ spl0_2
| spl0_609
| spl0_654 ),
inference(sat_conversion,[],[f26885]) ).
cnf(s2922,plain,
( ~ spl0_2
| ~ spl0_18
| spl0_163
| ~ spl0_216 ),
inference(sat_conversion,[],[f26887]) ).
cnf(s2923,plain,
( ~ spl0_2
| spl0_4
| ~ spl0_7 ),
inference(sat_conversion,[],[f26888]) ).
cnf(s2924,plain,
( ~ spl0_131
| ~ spl0_140
| spl0_178 ),
inference(sat_conversion,[],[f26889]) ).
cnf(s2925,plain,
( ~ spl0_140
| spl0_148
| ~ spl0_496 ),
inference(sat_conversion,[],[f26890]) ).
cnf(s2927,plain,
( ~ spl0_12
| spl0_13
| spl0_171
| ~ spl0_207 ),
inference(sat_conversion,[],[f26892]) ).
cnf(s2929,plain,
( ~ spl0_150
| ~ spl0_170
| ~ spl0_171 ),
inference(sat_conversion,[],[f26915]) ).
cnf(s2932,plain,
( ~ spl0_12
| spl0_13
| ~ spl0_19
| spl0_150 ),
inference(sat_conversion,[],[f26921]) ).
cnf(s2934,plain,
( ~ spl0_16
| spl0_155
| spl0_171
| ~ spl0_187 ),
inference(sat_conversion,[],[f26923]) ).
cnf(s2941,plain,
( spl0_207
| spl0_224
| spl0_225 ),
inference(sat_conversion,[],[f26988]) ).
cnf(s2942,plain,
( spl0_148
| spl0_211
| spl0_216 ),
inference(sat_conversion,[],[f26993]) ).
cnf(s2945,plain,
( ~ spl0_7
| spl0_606
| ~ spl0_609 ),
inference(sat_conversion,[],[f27020]) ).
cnf(s2947,plain,
( ~ spl0_2
| spl0_18
| spl0_150 ),
inference(sat_conversion,[],[f27022]) ).
cnf(s2958,plain,
( ~ spl0_131
| spl0_191
| ~ spl0_640 ),
inference(rat,[],[s1841,s1867]) ).
cnf(s2993,plain,
( ~ spl0_33
| ~ spl0_178
| ~ spl0_633
| spl0_639 ),
inference(rat,[],[s1706,s1801]) ).
cnf(s3047,plain,
( ~ spl0_24
| ~ spl0_33
| ~ spl0_178
| spl0_496 ),
inference(rat,[],[s1384,s1867]) ).
cnf(s3112,plain,
( spl0_170
| spl0_199 ),
inference(rat,[],[s670,s1867]) ).
cnf(s3145,plain,
( ~ spl0_6
| ~ spl0_45 ),
inference(rat,[],[s110,s423,s217]) ).
cnf(s3154,plain,
~ spl0_6,
inference(rat,[],[s32,s50,s68,s3145]) ).
cnf(s3155,plain,
( spl0_205
| spl0_32
| spl0_19 ),
inference(rat,[],[s810,s2790,s2942,s2773,s2891,s408,s1683,s843,s217]) ).
cnf(s3156,plain,
( ~ spl0_205
| ~ spl0_24
| ~ spl0_18
| spl0_13
| ~ spl0_47
| ~ spl0_12 ),
inference(rat,[],[s2538,s2703,s646,s800,s2910]) ).
cnf(s3159,plain,
( ~ spl0_140
| ~ spl0_131
| ~ spl0_150
| ~ spl0_33
| spl0_205
| ~ spl0_24
| spl0_13
| ~ spl0_12 ),
inference(rat,[],[s2927,s2929,s2941,s845,s2887,s2924,s769]) ).
cnf(s3160,plain,
( ~ spl0_19
| ~ spl0_148
| spl0_205
| ~ spl0_24
| spl0_13
| ~ spl0_12
| ~ spl0_7 ),
inference(rat,[],[s2789,s845,s550,s907,s637,s565,s2759,s2794,s3159,s528,s2646,s614,s2538,s2932,s641,s70,s2239,s2773,s507,s2679,s1683,s843]) ).
cnf(s3161,plain,
( ~ spl0_18
| spl0_13
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s2755,s2502,s2790,s3155,s2182,s3160,s2942,s2922,s2679,s2773,s3156,s774,s13,s775,s15,s1683,s843]) ).
cnf(s3162,plain,
( spl0_191
| spl0_205
| ~ spl0_150
| spl0_13
| ~ spl0_12
| ~ spl0_7 ),
inference(rat,[],[s2789,s845,s550,s907,s637,s565,s2759,s2794,s528,s3159,s2646,s614,s641,s70,s2184,s775,s2182,s2239,s2773,s507,s2679,s1683,s843]) ).
cnf(s3165,plain,
( spl0_171
| ~ spl0_695
| ~ spl0_182
| ~ spl0_217
| spl0_13
| ~ spl0_12
| ~ spl0_7 ),
inference(rat,[],[s795,s550,s2388,s2789,s2806,s2754,s2819,s2882,s2927,s632,s2239,s1683]) ).
cnf(s3166,plain,
( ~ spl0_171
| ~ spl0_33
| ~ spl0_150
| ~ spl0_47 ),
inference(rat,[],[s845,s2929,s804,s2184]) ).
cnf(s3167,plain,
( spl0_205
| ~ spl0_150
| spl0_13
| ~ spl0_12
| ~ spl0_7 ),
inference(rat,[],[s3165,s2537,s507,s3162,s2679,s2773,s3166,s641,s70,s2184,s2182,s775,s843]) ).
cnf(s3168,plain,
( ~ spl0_654
| ~ spl0_33
| ~ spl0_150
| ~ spl0_47 ),
inference(rat,[],[s1960,s2523,s1913,s2184,s1801,s769]) ).
cnf(s3169,plain,
( ~ spl0_139
| ~ spl0_160
| ~ spl0_695
| spl0_171
| ~ spl0_7 ),
inference(rat,[],[s550,s795,s2789,s482,s2754,s632]) ).
cnf(s3170,plain,
( spl0_13
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s550,s736,s2789,s2934,s3047,s2116,s2120,s222,s3169,s528,s2449,s2373,s2540,s2945,s2921,s3168,s2542,s2537,s800,s2910,s3167,s632,s3166,s641,s70,s2184,s2182,s25,s2947,s3161,s13,s775,s15,s217,s843]) ).
cnf(s3171,plain,
( ~ spl0_695
| spl0_69
| ~ spl0_16
| spl0_171
| ~ spl0_33
| ~ spl0_24
| ~ spl0_7 ),
inference(rat,[],[s550,s736,s2789,s2934,s3047,s2116,s2120,s222,s3169,s528,s523,s674,s2542,s632,s217]) ).
cnf(s3172,plain,
( spl0_178
| ~ spl0_161
| spl0_191
| ~ spl0_189
| ~ spl0_7 ),
inference(rat,[],[s795,s2819,s550,s822,s2789,s2855,s2242,s614,s769,s1683]) ).
cnf(s3173,plain,
( ~ spl0_150
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s2633,s2612,s1727,s845,s3172,s2883,s528,s2330,s2242,s2646,s614,s2537,s3171,s497,s25,s2110,s2896,s472,s1960,s1963,s2758,s2945,s2107,s2921,s632,s3168,s3166,s641,s70,s2184,s2182,s775,s15,s3170,s1867,s1683,s1801,s1902]) ).
cnf(s3174,plain,
( spl0_148
| ~ spl0_18
| ~ spl0_2 ),
inference(rat,[],[s2922,s646,s2942,s1683]) ).
cnf(s3175,plain,
( spl0_191
| ~ spl0_148
| ~ spl0_69
| ~ spl0_7 ),
inference(rat,[],[s631,s2799,s2803,s507,s528,s800,s2646,s775]) ).
cnf(s3176,plain,
( spl0_3
| ~ spl0_2 ),
inference(rat,[],[s2755,s2790,s2502,s2679,s2773,s3155,s2703,s641,s2538,s3175,s3174,s70,s398,s2947,s533,s3173,s2923,s15,s843,s1683]) ).
cnf(s3177,plain,
( ~ spl0_47
| ~ spl0_150
| ~ spl0_2 ),
inference(rat,[],[s2758,s1960,s2107,s2551,s2921,s3168,s641,s70,s2184,s2826,s3176,s1902,s1801]) ).
cnf(s3178,plain,
( spl0_205
| spl0_24
| ~ spl0_3 ),
inference(rat,[],[s2799,s503,s528,s507,s2774,s647,s661,s2773,s352,s603,s25,s2178,s843,s217]) ).
cnf(s3179,plain,
( ~ spl0_150
| ~ spl0_2 ),
inference(rat,[],[s810,s2724,s569,s2798,s614,s2703,s3178,s27,s603,s70,s641,s399,s775,s3177,s2826,s2,s3176,s217,s3154]) ).
cnf(s3180,plain,
~ spl0_2,
inference(rat,[],[s3175,s2538,s399,s641,s70,s624,s3174,s398,s2947,s533,s3179,s2,s352,s3176,s3154]) ).
cnf(s3181,plain,
spl0_1,
inference(rat,[],[s1,s3180]) ).
cnf(s3182,plain,
( ~ spl0_191
| ~ spl0_12
| ~ spl0_18
| ~ spl0_33
| ~ spl0_24 ),
inference(rat,[],[s802,s718,s2538,s3181]) ).
cnf(s3183,plain,
( spl0_178
| spl0_191
| ~ spl0_7 ),
inference(rat,[],[s2794,s792,s2924,s2789,s2242,s614,s528,s2646,s3181,s1683]) ).
cnf(s3184,plain,
( spl0_3
| ~ spl0_150
| ~ spl0_7 ),
inference(rat,[],[s2163,s3047,s3183,s3182,s13,s2782,s641,s70,s2184,s775,s2182,s3181]) ).
cnf(s3185,plain,
( spl0_609
| spl0_624
| spl0_174
| spl0_18 ),
inference(rat,[],[s2633,s2612,s2822,s2484,s3112,s2489,s3181]) ).
cnf(s3186,plain,
( ~ spl0_609
| ~ spl0_3
| ~ spl0_33
| ~ spl0_24
| ~ spl0_150 ),
inference(rat,[],[s2758,s1960,s2107,s2551,s1902,s1801]) ).
cnf(s3187,plain,
( spl0_174
| spl0_18
| ~ spl0_216
| spl0_609 ),
inference(rat,[],[s222,s2625,s691,s3185,s2490,s217,s3181]) ).
cnf(s3188,plain,
( spl0_18
| ~ spl0_149
| ~ spl0_216
| ~ spl0_695
| spl0_609
| ~ spl0_3 ),
inference(rat,[],[s222,s2754,s738,s2795,s3187,s2811,s2873,s2536,s2546,s2484,s217,s3181,s843]) ).
cnf(s3189,plain,
( ~ spl0_191
| ~ spl0_150
| ~ spl0_7 ),
inference(rat,[],[s550,s2789,s1709,s3047,s2636,s2120,s2232,s2376,s222,s3169,s528,s2373,s802,s2880,s3188,s2542,s394,s2942,s2537,s2538,s3166,s3186,s3184,s641,s70,s2182,s2184,s775,s3181,s217,s843,s1683]) ).
cnf(s3190,plain,
( ~ spl0_150
| ~ spl0_7 ),
inference(rat,[],[s472,s1963,s2896,s2758,s2554,s2612,s2634,s2633,s1727,s845,s1700,s2958,s2242,s3183,s614,s3189,s3186,s3184,s641,s70,s2184,s2182,s775,s1902,s3181,s1683]) ).
cnf(s3191,plain,
( ~ spl0_24
| spl0_3
| ~ spl0_33
| ~ spl0_7 ),
inference(rat,[],[s2163,s3047,s3183,s3182,s94,s13,s3181]) ).
cnf(s3192,plain,
( spl0_178
| spl0_24
| ~ spl0_7 ),
inference(rat,[],[s663,s2489,s683,s2789,s603,s774,s3181,s217]) ).
cnf(s3193,plain,
( spl0_3
| ~ spl0_33
| ~ spl0_7 ),
inference(rat,[],[s222,s738,s2754,s2205,s3192,s718,s2537,s614,s1054,s23,s2486,s2782,s774,s3191,s13,s217,s3181,s843]) ).
cnf(s3194,plain,
( spl0_178
| ~ spl0_160
| ~ spl0_216
| ~ spl0_695
| spl0_18
| ~ spl0_7 ),
inference(rat,[],[s222,s691,s3169,s2490,s804,s2789,s775,s217,s3181]) ).
cnf(s3195,plain,
( ~ spl0_191
| spl0_18
| ~ spl0_24
| ~ spl0_33
| ~ spl0_7 ),
inference(rat,[],[s222,s2120,s2754,s3047,s3194,s528,s2449,s2373,s2540,s2945,s3188,s2542,s394,s2942,s2537,s2538,s3193,s217,s843,s1683]) ).
cnf(s3196,plain,
( spl0_609
| ~ spl0_181
| spl0_640
| ~ spl0_131
| spl0_18
| ~ spl0_7 ),
inference(rat,[],[s2172,s2152,s2753,s3181]) ).
cnf(s3197,plain,
( spl0_18
| ~ spl0_24
| ~ spl0_33
| ~ spl0_7 ),
inference(rat,[],[s2636,s2993,s2374,s2551,s3196,s792,s223,s2925,s2755,s3047,s2483,s528,s2958,s2242,s3175,s3183,s2646,s614,s3195,s533,s3190,s3193,s3181,s217,s1683]) ).
cnf(s3198,plain,
( spl0_178
| ~ spl0_160
| ~ spl0_181
| ~ spl0_149
| ~ spl0_695
| ~ spl0_7 ),
inference(rat,[],[s736,s2815,s2116,s500,s222,s223,s3169,s632,s792,s550,s804,s2789,s775,s533,s3190,s217,s3181]) ).
cnf(s3199,plain,
( ~ spl0_191
| ~ spl0_24
| ~ spl0_33
| ~ spl0_7 ),
inference(rat,[],[s222,s2120,s2754,s3047,s3198,s528,s2542,s802,s394,s2537,s2538,s3197,s217]) ).
cnf(s3200,plain,
( ~ spl0_24
| ~ spl0_33
| ~ spl0_7 ),
inference(rat,[],[s223,s792,s2925,s2121,s3047,s528,s3175,s3183,s2646,s3199,s3197,s533,s3190,s217,s3181]) ).
cnf(s3201,plain,
( ~ spl0_180
| ~ spl0_138
| ~ spl0_695
| spl0_18
| ~ spl0_7 ),
inference(rat,[],[s2373,s2540,s2449,s2945,s3185,s738,s2232,s843]) ).
cnf(s3202,plain,
( ~ spl0_695
| ~ spl0_33
| ~ spl0_7 ),
inference(rat,[],[s2636,s2993,s2374,s2551,s2490,s3188,s2116,s394,s2942,s2755,s2810,s2483,s3201,s2232,s222,s2754,s2178,s3193,s3192,s3200,s3181,s217,s1683]) ).
cnf(s3203,plain,
( ~ spl0_33
| ~ spl0_7 ),
inference(rat,[],[s569,s3175,s614,s2537,s3202,s27,s3200,s533,s3190]) ).
cnf(s3204,plain,
( spl0_205
| spl0_19
| ~ spl0_7 ),
inference(rat,[],[s2755,s2502,s2790,s3155,s2679,s2773,s3190,s1683,s843]) ).
cnf(s3205,plain,
( spl0_19
| ~ spl0_7 ),
inference(rat,[],[s624,s352,s2483,s715,s221,s528,s703,s2646,s2703,s3204,s408,s3203,s3181,s217]) ).
cnf(s3206,plain,
~ spl0_7,
inference(rat,[],[s569,s3175,s614,s2703,s3178,s2782,s774,s27,s70,s641,s3205,s3203,s533,s3190,s3181]) ).
cnf(s3207,plain,
spl0_153,
inference(rat,[],[s403,s3206]) ).
cnf(s3209,plain,
( ~ spl0_191
| ~ spl0_24
| ~ spl0_33 ),
inference(rat,[],[s3188,s3186,s94,s2870,s394,s2942,s2537,s2538,s533,s602,s3181,s3207,s217,s1683,s3206]) ).
cnf(s3210,plain,
( spl0_18
| ~ spl0_24
| ~ spl0_33 ),
inference(rat,[],[s2536,s394,s2546,s2874,s2810,s2484,s2811,s2641,s3186,s94,s533,s602,s2958,s614,s3209,s217,s3181,s3206]) ).
cnf(s3211,plain,
( spl0_609
| ~ spl0_170
| ~ spl0_32
| ~ spl0_136
| spl0_3
| ~ spl0_18
| spl0_608
| ~ spl0_131 ),
inference(rat,[],[s2324,s2370,s2918,s2106,s2718,s1867,s1801,s3181]) ).
cnf(s3212,plain,
( ~ spl0_180
| ~ spl0_139
| spl0_3
| ~ spl0_24
| ~ spl0_33 ),
inference(rat,[],[s2330,s2370,s2108,s2107,s3211,s2450,s810,s2755,s802,s675,s533,s602,s1997,s614,s3209,s3210,s1867,s1801,s1902,s1683,s3206]) ).
cnf(s3213,plain,
( spl0_609
| spl0_180
| spl0_3
| spl0_191 ),
inference(rat,[],[s2874,s2359,s2811,s2694,s2958,s614,s3181]) ).
cnf(s3214,plain,
( spl0_178
| spl0_3
| ~ spl0_24
| ~ spl0_33 ),
inference(rat,[],[s2380,s2636,s2758,s2374,s2107,s3213,s2863,s688,s2222,s792,s528,s3212,s222,s223,s822,s2924,s2855,s533,s602,s2242,s614,s3209,s3210,s1902,s843,s3181,s217,s769,s1683,s3206]) ).
cnf(s3215,plain,
( spl0_3
| ~ spl0_24
| ~ spl0_33 ),
inference(rat,[],[s2163,s3047,s3214,s3210,s3181]) ).
cnf(s3216,plain,
( spl0_178
| ~ spl0_160
| ~ spl0_3
| ~ spl0_131 ),
inference(rat,[],[s223,s792,s2924,s2795,s217,s3181]) ).
cnf(s3217,plain,
( ~ spl0_24
| ~ spl0_33 ),
inference(rat,[],[s472,s2896,s1963,s2612,s2758,s2633,s2106,s1727,s845,s3216,s2359,s2874,s528,s2811,s2641,s3186,s2826,s3215,s3210,s2958,s1997,s2242,s614,s3209,s533,s602,s3206,s1683,s3181,s1902]) ).
cnf(s3218,plain,
( spl0_609
| spl0_18
| spl0_3 ),
inference(rat,[],[s2546,s2720,s2484,s2718,s408,s2782,s3181,s217]) ).
cnf(s3219,plain,
( spl0_170
| ~ spl0_32
| ~ spl0_667
| ~ spl0_609
| spl0_18
| ~ spl0_180 ),
inference(rat,[],[s2624,s2636,s223,s2374,s742,s2489,s2380,s3112,s217,s3181]) ).
cnf(s3220,plain,
( ~ spl0_178
| ~ spl0_180
| spl0_3
| ~ spl0_695 ),
inference(rat,[],[s222,s738,s2754,s2205,s217,s3181]) ).
cnf(s3221,plain,
( spl0_18
| ~ spl0_32
| spl0_170
| ~ spl0_180
| spl0_3
| ~ spl0_695 ),
inference(rat,[],[s2136,s2540,s2172,s2373,s3219,s2449,s408,s3218,s2782,s843,s217,s3181]) ).
cnf(s3222,plain,
( spl0_609
| ~ spl0_185
| ~ spl0_29
| ~ spl0_138
| ~ spl0_136
| ~ spl0_32
| spl0_3 ),
inference(rat,[],[s2373,s2376,s2370,s2636,s2136,s1709,s2694,s2232,s843,s3181]) ).
cnf(s3223,plain,
( spl0_3
| ~ spl0_695
| ~ spl0_191
| spl0_24 ),
inference(rat,[],[s2370,s2373,s2107,s2449,s3222,s533,s2815,s736,s550,s2249,s632,s408,s738,s2574,s472,s222,s824,s2450,s2755,s675,s3221,s2863,s2569,s2792,s683,s2855,s3220,s718,s13,s603,s843,s217,s1683,s769,s3181]) ).
cnf(s3224,plain,
( spl0_178
| spl0_18
| ~ spl0_3
| ~ spl0_22 ),
inference(rat,[],[s663,s2489,s683,s2795,s3181]) ).
cnf(s3225,plain,
( ~ spl0_180
| ~ spl0_138
| spl0_18
| ~ spl0_3
| ~ spl0_695 ),
inference(rat,[],[s2540,s2373,s2744,s2449,s2551,s3185,s738,s2232,s843,s1801]) ).
cnf(s3226,plain,
( ~ spl0_191
| ~ spl0_33 ),
inference(rat,[],[s2636,s2993,s2374,s2551,s2490,s3188,s691,s394,s2942,s2810,s3225,s2232,s222,s2754,s3224,s2178,s3223,s2537,s603,s3217,s3181,s217,s1683]) ).
cnf(s3227,plain,
( spl0_178
| ~ spl0_33 ),
inference(rat,[],[s222,s2450,s822,s683,s2855,s2755,s810,s2798,s603,s569,s614,s3226,s27,s3217,s217,s769,s1683]) ).
cnf(s3228,plain,
( spl0_18
| spl0_3
| ~ spl0_33 ),
inference(rat,[],[s2669,s2670,s2136,s2172,s2636,s2333,s2374,s2552,s408,s2810,s3218,s2782,s2242,s2958,s2755,s810,s2798,s603,s569,s614,s3226,s27,s3217,s2645,s13,s2205,s3227,s217,s3181,s3206,s1683]) ).
cnf(s3229,plain,
( spl0_3
| ~ spl0_33 ),
inference(rat,[],[s2758,s2380,s2107,s2636,s2501,s2374,s771,s3213,s528,s738,s222,s2450,s688,s3228,s2205,s2242,s2755,s810,s2798,s603,s569,s614,s3226,s27,s3217,s3227,s1902,s217,s3181,s1683]) ).
cnf(s3230,plain,
~ spl0_33,
inference(rat,[],[s2810,s2641,s2178,s3229,s569,s614,s3226,s27,s3217,s3181]) ).
cnf(s3231,plain,
( spl0_178
| ~ spl0_136
| ~ spl0_32
| ~ spl0_217
| ~ spl0_22 ),
inference(rat,[],[s711,s223,s3112,s2384,s683,s217]) ).
cnf(s3232,plain,
( ~ spl0_191
| spl0_18
| spl0_3 ),
inference(rat,[],[s2636,s2669,s2374,s2670,s2205,s2645,s3231,s2136,s2370,s2755,s2373,s2790,s2239,s2449,s3155,s2773,s718,s2703,s13,s3218,s2531,s2211,s408,s2782,s3181,s3206,s1683,s843,s3230,s217]) ).
cnf(s3233,plain,
( spl0_178
| ~ spl0_32
| spl0_191
| ~ spl0_22 ),
inference(rat,[],[s222,s2450,s822,s683,s2855,s2755,s2798,s217,s769,s1683]) ).
cnf(s3234,plain,
( spl0_18
| spl0_3 ),
inference(rat,[],[s2636,s2669,s2374,s2670,s2205,s2645,s3233,s2136,s2172,s2333,s2552,s2810,s810,s2755,s569,s2958,s2242,s2798,s614,s3232,s408,s27,s2531,s3218,s2782,s94,s2211,s13,s3181,s3206,s1683,s217]) ).
cnf(s3235,plain,
( ~ spl0_191
| spl0_3 ),
inference(rat,[],[s2450,s222,s688,s738,s2205,s3231,s603,s71,s824,s810,s2755,s802,s675,s2773,s718,s2703,s13,s3234,s217,s3181,s3206,s1683,s843,s3230]) ).
cnf(s3236,plain,
( ~ spl0_180
| spl0_178
| spl0_3 ),
inference(rat,[],[s813,s641,s2941,s70,s2206,s603,s688,s3233,s2450,s810,s2755,s802,s675,s3234,s222,s822,s2855,s3235,s3230,s769,s3181,s217,s1683]) ).
cnf(s3237,plain,
( spl0_178
| spl0_3 ),
inference(rat,[],[s641,s70,s2790,s603,s2755,s3233,s2450,s2863,s688,s2222,s2773,s792,s715,s528,s3236,s222,s223,s822,s2924,s2855,s3234,s614,s3235,s3230,s217,s1683,s843,s3181,s769]) ).
cnf(s3238,plain,
spl0_3,
inference(rat,[],[s2758,s2380,s2107,s2636,s2501,s2374,s771,s3213,s528,s742,s223,s711,s221,s703,s408,s472,s2863,s2138,s3112,s688,s2222,s2205,s3237,s2242,s614,s3235,s3234,s1902,s217,s843,s3181,s1683]) ).
cnf(s3239,plain,
spl0_51,
inference(rat,[],[s352,s3238]) ).
cnf(s3242,plain,
( ~ spl0_191
| ~ spl0_17 ),
inference(rat,[],[s641,s70,s19,s3178,s584,s2703,s2610,s3230,s3238,s3239]) ).
cnf(s3243,plain,
spl0_18,
inference(rat,[],[s641,s408,s70,s703,s27,s221,s569,s2483,s2810,s2641,s614,s3242,s2486,s3230,s217,s3181,s3238]) ).
cnf(s3244,plain,
spl0_24,
inference(rat,[],[s2178,s3238,s3243]) ).
cnf(s3246,plain,
spl0_19,
inference(rat,[],[s624,s3239,s3243]) ).
cnf(s3250,plain,
spl0_50,
inference(rat,[],[s70,s3244]) ).
cnf(s3253,plain,
$false,
inference(rat,[],[s641,s3230,s3246,s3250]) ).
thf(f27023,plain,
$false,
inference(avatar_sat_refutation,[],[s3253]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA173^1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.21 % Computer : n018.cluster.edu
% 0.10/0.21 % Model : x86_64 x86_64
% 0.10/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.21 % Memory : 8046.5625MB
% 0.10/0.21 % OS : Linux 6.8.0-71-generic
% 0.10/0.21 % CPULimit : 300
% 0.10/0.21 % WCLimit : 300
% 0.10/0.21 % DateTime : Tue Sep 29 19:09:41 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.25 Running higher-order theorem proving
% 0.21/0.26 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.40 % (504270)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.61/0.40 % (504278)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=3110751022: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)
% 0.61/0.40 % (504281)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.61/0.40 % (504281)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
% 0.61/0.40 % (504276)lrs+10_16_si=on:nwc=1.5:random_seed=2048596545:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.61/0.40 % (504277)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2259512316:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.61/0.40 % (504279)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3938619596:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.61/0.40 % (504281)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=3013280951:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.61/0.40 % (504280)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2320265609:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.61/0.40 % (504275)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1014965105:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.61/0.40 % (504277)Instruction limit reached!
% 0.61/0.40 % (504277)------------------------------
% 0.61/0.40 % (504277)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.40 % (504277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.40 % (504277)CaDiCaL version: 2.1.3
% 0.61/0.40 % (504277)Termination reason: Instruction limit
% 0.61/0.40 % (504277)Termination phase: Saturation
% 0.61/0.40 % (504277)Time elapsed: 0.002 s
% 0.61/0.40 % (504277)Peak memory usage: 12 MB
% 0.61/0.40 % (504277)Instructions burned: 3 (million)
% 0.61/0.40 % (504276)Instruction limit reached!
% 0.61/0.40 % (504276)------------------------------
% 0.61/0.40 % (504276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.40 % (504276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.40 % (504276)CaDiCaL version: 2.1.3
% 0.61/0.40 % (504276)Termination reason: Instruction limit
% 0.61/0.40 % (504276)Termination phase: Saturation
% 0.61/0.40 % (504276)Time elapsed: 0.010 s
% 0.61/0.40 % (504276)Peak memory usage: 12 MB
% 0.61/0.40 % (504276)Instructions burned: 19 (million)
% 0.61/0.40 % (504279)Instruction limit reached!
% 0.61/0.40 % (504279)------------------------------
% 0.61/0.40 % (504279)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.40 % (504279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.40 % (504279)CaDiCaL version: 2.1.3
% 0.61/0.40 % (504279)Termination reason: Instruction limit
% 0.61/0.40 % (504279)Termination phase: Saturation
% 0.61/0.40 % (504279)Time elapsed: 0.012 s
% 0.61/0.40 % (504279)Peak memory usage: 11 MB
% 0.61/0.40 % (504279)Instructions burned: 24 (million)
% 0.61/0.40 % (504289)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2366808784:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.61/0.40 % (504289)Instruction limit reached!
% 0.61/0.40 % (504289)------------------------------
% 0.61/0.40 % (504289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.40 % (504289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.40 % (504289)CaDiCaL version: 2.1.3
% 0.61/0.40 % (504289)Termination reason: Instruction limit
% 0.61/0.40 % (504289)Termination phase: Saturation
% 0.61/0.40 % (504289)Time elapsed: 0.002 s
% 0.61/0.40 % (504289)Peak memory usage: 12 MB
% 0.61/0.40 % (504289)Instructions burned: 2 (million)
% 0.61/0.40 % (504291)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.61/0.40 % (504290)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1779013365:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.61/0.42 % (504291)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2086991449:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.61/0.42 % (504290)Instruction limit reached!
% 0.61/0.42 % (504290)------------------------------
% 0.61/0.42 % (504290)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.42 % (504290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.42 % (504290)CaDiCaL version: 2.1.3
% 0.61/0.42 % (504290)Termination reason: Instruction limit
% 0.61/0.42 % (504290)Termination phase: Saturation
% 0.61/0.42 % (504290)Time elapsed: 0.003 s
% 0.61/0.42 % (504290)Peak memory usage: 11 MB
% 0.61/0.42 % (504290)Instructions burned: 5 (million)
% 0.61/0.42 % (504291)Instruction limit reached!
% 0.61/0.42 % (504291)------------------------------
% 0.61/0.42 % (504291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.42 % (504291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.42 % (504291)CaDiCaL version: 2.1.3
% 0.61/0.42 % (504291)Termination reason: Instruction limit
% 0.61/0.42 % (504291)Termination phase: Saturation
% 0.61/0.42 % (504291)Time elapsed: 0.005 s
% 0.61/0.42 % (504291)Peak memory usage: 12 MB
% 0.61/0.42 % (504291)Instructions burned: 7 (million)
% 0.61/0.42 % (504280)Instruction limit reached!
% 0.61/0.42 % (504280)------------------------------
% 0.61/0.42 % (504280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.42 % (504280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.42 % (504280)CaDiCaL version: 2.1.3
% 0.61/0.42 % (504280)Termination reason: Instruction limit
% 0.61/0.42 % (504280)Termination phase: Saturation
% 0.61/0.42 % (504280)Time elapsed: 0.037 s
% 0.61/0.42 % (504280)Peak memory usage: 12 MB
% 0.61/0.42 % (504280)Instructions burned: 76 (million)
% 0.61/0.42 % (504296)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
% 0.61/0.42 % (504296)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.61/0.42 % (504293)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=280906856:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.61/0.42 % (504296)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1264092558:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.61/0.42 % (504298)lrs+10_1_si=on:cs=on:random_seed=2080485611:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.61/0.42 % (504275)Instruction limit reached!
% 0.61/0.42 % (504275)------------------------------
% 0.61/0.42 % (504275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.42 % (504275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.42 % (504275)CaDiCaL version: 2.1.3
% 0.61/0.42 % (504275)Termination reason: Instruction limit
% 0.61/0.42 % (504275)Termination phase: Saturation
% 0.61/0.42 % (504275)Time elapsed: 0.058 s
% 0.61/0.42 % (504275)Peak memory usage: 12 MB
% 0.61/0.42 % (504275)Instructions burned: 87 (million)
% 0.61/0.42 % (504298)Instruction limit reached!
% 0.61/0.42 % (504298)------------------------------
% 0.61/0.42 % (504298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.42 % (504298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.42 % (504298)CaDiCaL version: 2.1.3
% 0.61/0.42 % (504298)Termination reason: Instruction limit
% 0.61/0.42 % (504298)Termination phase: Saturation
% 0.61/0.42 % (504298)Time elapsed: 0.005 s
% 0.61/0.42 % (504298)Peak memory usage: 12 MB
% 0.61/0.42 % (504298)Instructions burned: 9 (million)
% 0.61/0.42 % (504293)Instruction limit reached!
% 0.61/0.42 % (504293)------------------------------
% 0.61/0.42 % (504293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.42 % (504293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.42 % (504293)CaDiCaL version: 2.1.3
% 0.61/0.42 % (504293)Termination reason: Instruction limit
% 0.61/0.42 % (504293)Termination phase: Saturation
% 0.61/0.45 % (504293)Time elapsed: 0.012 s
% 0.61/0.45 % (504293)Peak memory usage: 12 MB
% 0.61/0.45 % (504293)Instructions burned: 12 (million)
% 0.61/0.45 % (504281)Instruction limit reached!
% 0.61/0.45 % (504281)------------------------------
% 0.61/0.45 % (504281)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.45 % (504281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.45 % (504281)CaDiCaL version: 2.1.3
% 0.61/0.45 % (504281)Termination reason: Instruction limit
% 0.61/0.45 % (504281)Termination phase: Saturation
% 0.61/0.45 % (504281)Time elapsed: 0.065 s
% 0.61/0.45 % (504281)Peak memory usage: 12 MB
% 0.61/0.45 % (504281)Instructions burned: 157 (million)
% 0.61/0.45 % (504297)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=67061027:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.61/0.45 % (504296)Instruction limit reached!
% 0.61/0.45 % (504296)------------------------------
% 0.61/0.45 % (504296)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.45 % (504296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.45 % (504296)CaDiCaL version: 2.1.3
% 0.61/0.45 % (504296)Termination reason: Instruction limit
% 0.61/0.45 % (504296)Termination phase: Saturation
% 0.61/0.45 % (504296)Time elapsed: 0.016 s
% 0.61/0.45 % (504296)Peak memory usage: 12 MB
% 0.61/0.45 % (504296)Instructions burned: 29 (million)
% 0.61/0.45 % (504302)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.61/0.45 % (504303)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1046761130:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.61/0.45 % (504303)Refutation not found, incomplete strategy
% 0.61/0.45 % (504303)------------------------------
% 0.61/0.45 % (504303)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.45 % (504303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.45 % (504303)CaDiCaL version: 2.1.3
% 0.61/0.45 % (504303)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.45 % (504303)Time elapsed: 0.001 s
% 0.61/0.45 % (504303)Peak memory usage: 11 MB
% 0.61/0.45 % (504303)------------------------------
% 0.61/0.45 % (504303)------------------------------
% 0.61/0.45 % (504304)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=902267072:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.61/0.45 % (504302)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=20015518:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.61/0.45 % (504305)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=4016999:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.61/0.45 % (504304)Refutation not found, incomplete strategy
% 0.61/0.45 % (504304)------------------------------
% 0.61/0.45 % (504304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.45 % (504304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.45 % (504304)CaDiCaL version: 2.1.3
% 0.61/0.45 % (504304)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.45 % (504304)Time elapsed: 0.0000 s
% 0.61/0.45 % (504304)Peak memory usage: 11 MB
% 0.61/0.45 % (504305)Refutation not found, incomplete strategy
% 0.61/0.45 % (504305)------------------------------
% 0.61/0.45 % (504305)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.45 % (504305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.45 % (504305)CaDiCaL version: 2.1.3
% 0.61/0.45 % (504305)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.45 % (504305)Time elapsed: 0.001 s
% 0.61/0.45 % (504305)Peak memory usage: 11 MB
% 0.61/0.45 % (504304)------------------------------
% 0.61/0.45 % (504304)------------------------------
% 0.61/0.45 % (504305)------------------------------
% 0.61/0.45 % (504305)------------------------------
% 0.61/0.45 % (504302)Instruction limit reached!
% 0.61/0.45 % (504302)------------------------------
% 0.61/0.45 % (504302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.48 % (504302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.48 % (504302)CaDiCaL version: 2.1.3
% 1.35/0.48 % (504302)Termination reason: Instruction limit
% 1.35/0.48 % (504302)Termination phase: Saturation
% 1.35/0.48 % (504302)Time elapsed: 0.002 s
% 1.35/0.48 % (504302)Peak memory usage: 11 MB
% 1.35/0.48 % (504302)Instructions burned: 2 (million)
% 1.35/0.48 % (504307)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2577230897:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.35/0.48 % (504307)Instruction limit reached!
% 1.35/0.48 % (504307)------------------------------
% 1.35/0.48 % (504307)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.48 % (504307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.48 % (504307)CaDiCaL version: 2.1.3
% 1.35/0.48 % (504307)Termination reason: Instruction limit
% 1.35/0.48 % (504307)Termination phase: Saturation
% 1.35/0.48 % (504307)Time elapsed: 0.011 s
% 1.35/0.48 % (504307)Peak memory usage: 12 MB
% 1.35/0.48 % (504307)Instructions burned: 15 (million)
% 1.35/0.48 % (504312)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2059800257:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.35/0.48 % (504313)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=268769984:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.35/0.48 % (504312)Refutation not found, incomplete strategy
% 1.35/0.48 % (504312)------------------------------
% 1.35/0.48 % (504312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.48 % (504312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.48 % (504312)CaDiCaL version: 2.1.3
% 1.35/0.48 % (504312)Termination reason: Refutation not found, incomplete strategy
% 1.35/0.48 % (504312)Time elapsed: 0.001 s
% 1.35/0.48 % (504312)Peak memory usage: 11 MB
% 1.35/0.48 % (504314)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3979473074: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)
% 1.35/0.48 % (504315)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3094649881:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.35/0.48 % (504312)------------------------------
% 1.35/0.48 % (504312)------------------------------
% 1.35/0.48 % (504314)Refutation not found, incomplete strategy
% 1.35/0.48 % (504314)------------------------------
% 1.35/0.48 % (504314)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.48 % (504314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.48 % (504314)CaDiCaL version: 2.1.3
% 1.35/0.48 % (504314)Termination reason: Refutation not found, incomplete strategy
% 1.35/0.48 % (504314)Time elapsed: 0.0000 s
% 1.35/0.48 % (504314)Peak memory usage: 11 MB
% 1.35/0.48 % (504314)------------------------------
% 1.35/0.48 % (504314)------------------------------
% 1.35/0.48 % (504297)Instruction limit reached!
% 1.35/0.48 % (504297)------------------------------
% 1.35/0.48 % (504297)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.48 % (504297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.48 % (504297)CaDiCaL version: 2.1.3
% 1.35/0.48 % (504297)Termination reason: Instruction limit
% 1.35/0.48 % (504297)Termination phase: Saturation
% 1.35/0.48 % (504297)Time elapsed: 0.044 s
% 1.35/0.48 % (504297)Peak memory usage: 12 MB
% 1.35/0.48 % (504297)Instructions burned: 86 (million)
% 1.35/0.48 % (504278)Instruction limit reached!
% 1.35/0.48 % (504278)------------------------------
% 1.35/0.48 % (504278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.48 % (504278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.48 % (504278)CaDiCaL version: 2.1.3
% 1.35/0.48 % (504278)Termination reason: Instruction limit
% 1.35/0.48 % (504278)Termination phase: Saturation
% 1.35/0.48 % (504278)Time elapsed: 0.121 s
% 1.35/0.48 % (504278)Peak memory usage: 13 MB
% 1.35/0.48 % (504278)Instructions burned: 638 (million)
% 1.35/0.48 % (504313)Instruction limit reached!
% 1.35/0.48 % (504313)------------------------------
% 1.35/0.48 % (504313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.48 % (504313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.50 % (504313)CaDiCaL version: 2.1.3
% 1.35/0.50 % (504313)Termination reason: Instruction limit
% 1.35/0.50 % (504313)Termination phase: Saturation
% 1.35/0.50 % (504313)Time elapsed: 0.009 s
% 1.35/0.50 % (504313)Peak memory usage: 12 MB
% 1.35/0.50 % (504313)Instructions burned: 15 (million)
% 1.35/0.50 % (504315)Instruction limit reached!
% 1.35/0.50 % (504315)------------------------------
% 1.35/0.50 % (504315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.50 % (504315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.50 % (504315)CaDiCaL version: 2.1.3
% 1.35/0.50 % (504315)Termination reason: Instruction limit
% 1.35/0.50 % (504315)Termination phase: Saturation
% 1.35/0.50 % (504315)Time elapsed: 0.014 s
% 1.35/0.50 % (504315)Peak memory usage: 12 MB
% 1.35/0.50 % (504315)Instructions burned: 26 (million)
% 1.35/0.50 % (504323)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
% 1.35/0.50 % (504323)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.35/0.50 % (504318)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2526522552:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.35/0.50 % (504325)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=3418126377:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.35/0.50 % (504322)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2080913300:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.35/0.50 % (504323)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=3617821792:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.35/0.50 % (504324)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.35/0.50 % (504325)Instruction limit reached!
% 1.35/0.50 % (504325)------------------------------
% 1.35/0.50 % (504325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.50 % (504325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.50 % (504325)CaDiCaL version: 2.1.3
% 1.35/0.50 % (504325)Termination reason: Instruction limit
% 1.35/0.50 % (504325)Termination phase: Saturation
% 1.35/0.50 % (504325)Time elapsed: 0.009 s
% 1.35/0.50 % (504325)Peak memory usage: 12 MB
% 1.35/0.50 % (504325)Instructions burned: 35 (million)
% 1.35/0.50 % (504323)Instruction limit reached!
% 1.35/0.50 % (504323)------------------------------
% 1.35/0.50 % (504323)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.50 % (504323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.50 % (504323)CaDiCaL version: 2.1.3
% 1.35/0.50 % (504323)Termination reason: Instruction limit
% 1.35/0.50 % (504323)Termination phase: Saturation
% 1.35/0.50 % (504323)Time elapsed: 0.009 s
% 1.35/0.50 % (504323)Peak memory usage: 12 MB
% 1.35/0.50 % (504323)Instructions burned: 14 (million)
% 1.35/0.50 % (504324)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=3074584613:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.35/0.50 % (504327)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2596253694:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.35/0.50 % (504326)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1554314414:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.35/0.50 % (504318)Instruction limit reached!
% 1.35/0.50 % (504318)------------------------------
% 1.35/0.50 % (504318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.50 % (504318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.50 % (504318)CaDiCaL version: 2.1.3
% 1.35/0.50 % (504318)Termination reason: Instruction limit
% 1.35/0.50 % (504318)Termination phase: Saturation
% 1.35/0.50 % (504318)Time elapsed: 0.017 s
% 1.35/0.56 % (504318)Peak memory usage: 11 MB
% 1.35/0.56 % (504318)Instructions burned: 24 (million)
% 1.35/0.56 % (504332)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2204424621:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.35/0.56 % (504326)Instruction limit reached!
% 1.35/0.56 % (504326)------------------------------
% 1.35/0.56 % (504326)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.56 % (504326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.56 % (504326)CaDiCaL version: 2.1.3
% 1.35/0.56 % (504326)Termination reason: Instruction limit
% 1.35/0.56 % (504326)Termination phase: Saturation
% 1.35/0.56 % (504326)Time elapsed: 0.008 s
% 1.35/0.56 % (504326)Peak memory usage: 12 MB
% 1.35/0.56 % (504326)Instructions burned: 7 (million)
% 1.35/0.56 % (504324)Instruction limit reached!
% 1.35/0.56 % (504324)------------------------------
% 1.35/0.56 % (504324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.56 % (504324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.56 % (504324)CaDiCaL version: 2.1.3
% 1.35/0.56 % (504324)Termination reason: Instruction limit
% 1.35/0.56 % (504324)Termination phase: Saturation
% 1.35/0.56 % (504324)Time elapsed: 0.009 s
% 1.35/0.56 % (504324)Peak memory usage: 12 MB
% 1.35/0.56 % (504324)Instructions burned: 9 (million)
% 1.35/0.56 % (504327)Instruction limit reached!
% 1.35/0.56 % (504327)------------------------------
% 1.35/0.56 % (504327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.56 % (504327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.56 % (504327)CaDiCaL version: 2.1.3
% 1.35/0.56 % (504327)Termination reason: Instruction limit
% 1.35/0.56 % (504327)Termination phase: Saturation
% 1.35/0.56 % (504327)Time elapsed: 0.010 s
% 1.35/0.56 % (504327)Peak memory usage: 11 MB
% 1.35/0.56 % (504327)Instructions burned: 24 (million)
% 1.35/0.56 % (504322)Instruction limit reached!
% 1.35/0.56 % (504322)------------------------------
% 1.35/0.56 % (504322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.56 % (504322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.56 % (504322)CaDiCaL version: 2.1.3
% 1.35/0.56 % (504322)Termination reason: Instruction limit
% 1.35/0.56 % (504322)Termination phase: Saturation
% 1.35/0.56 % (504322)Time elapsed: 0.025 s
% 1.35/0.56 % (504322)Peak memory usage: 12 MB
% 1.35/0.56 % (504322)Instructions burned: 62 (million)
% 1.35/0.56 % (504332)Instruction limit reached!
% 1.35/0.56 % (504332)------------------------------
% 1.35/0.56 % (504332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.56 % (504332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.56 % (504332)CaDiCaL version: 2.1.3
% 1.35/0.56 % (504332)Termination reason: Instruction limit
% 1.35/0.56 % (504332)Termination phase: Saturation
% 1.35/0.56 % (504332)Time elapsed: 0.006 s
% 1.35/0.56 % (504332)Peak memory usage: 12 MB
% 1.35/0.56 % (504332)Instructions burned: 23 (million)
% 1.35/0.56 % (504341)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.35/0.56 % (504341)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2953404626:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.35/0.56 % (504333)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3802915572:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.35/0.56 % (504341)Instruction limit reached!
% 1.35/0.56 % (504341)------------------------------
% 1.35/0.56 % (504341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.56 % (504341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.56 % (504341)CaDiCaL version: 2.1.3
% 1.35/0.56 % (504341)Termination reason: Instruction limit
% 1.35/0.56 % (504341)Termination phase: Saturation
% 1.35/0.56 % (504341)Time elapsed: 0.003 s
% 1.35/0.56 % (504341)Peak memory usage: 12 MB
% 1.35/0.56 % (504341)Instructions burned: 9 (million)
% 1.35/0.56 % (504340)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3176327674:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.35/0.56 % (504342)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2534322435:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 2.14/0.62 % (504342)Refutation not found, incomplete strategy
% 2.14/0.62 % (504342)------------------------------
% 2.14/0.62 % (504342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.62 % (504342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.62 % (504342)CaDiCaL version: 2.1.3
% 2.14/0.62 % (504342)Termination reason: Refutation not found, incomplete strategy
% 2.14/0.62 % (504342)Time elapsed: 0.001 s
% 2.14/0.62 % (504342)Peak memory usage: 11 MB
% 2.14/0.62 % (504342)------------------------------
% 2.14/0.62 % (504342)------------------------------
% 2.14/0.62 % (504343)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=89862405:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/169Mi)
% 2.14/0.62 % (504346)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.14/0.62 % (504343)Refutation not found, incomplete strategy
% 2.14/0.62 % (504343)------------------------------
% 2.14/0.62 % (504343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.62 % (504343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.62 % (504343)CaDiCaL version: 2.1.3
% 2.14/0.62 % (504343)Termination reason: Refutation not found, incomplete strategy
% 2.14/0.62 % (504343)Time elapsed: 0.001 s
% 2.14/0.62 % (504343)Peak memory usage: 11 MB
% 2.14/0.62 % (504337)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=238607347:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 2.14/0.62 % (504343)------------------------------
% 2.14/0.62 % (504343)------------------------------
% 2.14/0.62 % (504346)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=914268731:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.14/0.62 % (504346)Refutation not found, incomplete strategy
% 2.14/0.62 % (504346)------------------------------
% 2.14/0.62 % (504346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.62 % (504346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.62 % (504346)CaDiCaL version: 2.1.3
% 2.14/0.62 % (504346)Termination reason: Refutation not found, incomplete strategy
% 2.14/0.62 % (504346)Time elapsed: 0.0000 s
% 2.14/0.62 % (504346)Peak memory usage: 11 MB
% 2.14/0.62 % (504346)Instructions burned: 1 (million)
% 2.14/0.62 % (504346)------------------------------
% 2.14/0.62 % (504346)------------------------------
% 2.14/0.62 % (504339)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2615514360:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 2.14/0.62 % (504354)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=1545886417:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.14/0.62 % (504340)Instruction limit reached!
% 2.14/0.62 % (504340)------------------------------
% 2.14/0.62 % (504340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.62 % (504340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.62 % (504340)CaDiCaL version: 2.1.3
% 2.14/0.62 % (504340)Termination reason: Instruction limit
% 2.14/0.62 % (504340)Termination phase: Saturation
% 2.14/0.62 % (504340)Time elapsed: 0.020 s
% 2.14/0.62 % (504340)Peak memory usage: 12 MB
% 2.14/0.62 % (504340)Instructions burned: 42 (million)
% 2.14/0.62 % (504339)Refutation not found, incomplete strategy
% 2.14/0.62 % (504339)------------------------------
% 2.14/0.62 % (504339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.62 % (504339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.62 % (504339)CaDiCaL version: 2.1.3
% 2.14/0.62 % (504339)Termination reason: Refutation not found, incomplete strategy
% 2.14/0.62 % (504339)Time elapsed: 0.004 s
% 2.14/0.62 % (504339)Peak memory usage: 11 MB
% 2.14/0.62 % (504349)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1069779958:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.14/0.62 % (504339)------------------------------
% 2.14/0.65 % (504339)------------------------------
% 2.14/0.65 % (504353)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2432934390:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.14/0.65 % (504353)Refutation not found, incomplete strategy
% 2.14/0.65 % (504353)------------------------------
% 2.14/0.65 % (504353)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.65 % (504353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.65 % (504353)CaDiCaL version: 2.1.3
% 2.14/0.65 % (504353)Termination reason: Refutation not found, incomplete strategy
% 2.14/0.65 % (504353)Time elapsed: 0.002 s
% 2.14/0.65 % (504353)Peak memory usage: 12 MB
% 2.14/0.65 % (504353)Instructions burned: 2 (million)
% 2.14/0.65 % (504353)------------------------------
% 2.14/0.65 % (504353)------------------------------
% 2.14/0.65 % (504349)Instruction limit reached!
% 2.14/0.65 % (504349)------------------------------
% 2.14/0.65 % (504349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.65 % (504349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.65 % (504349)CaDiCaL version: 2.1.3
% 2.14/0.65 % (504349)Termination reason: Instruction limit
% 2.14/0.65 % (504349)Termination phase: Saturation
% 2.14/0.65 % (504349)Time elapsed: 0.010 s
% 2.14/0.65 % (504349)Peak memory usage: 12 MB
% 2.14/0.65 % (504349)Instructions burned: 22 (million)
% 2.14/0.65 % (504357)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=1244380823: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)
% 2.14/0.65 % (504359)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=2395230376: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)
% 2.14/0.65 % (504361)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3774789659:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.14/0.65 % (504361)Refutation not found, incomplete strategy
% 2.14/0.65 % (504361)------------------------------
% 2.14/0.65 % (504361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.65 % (504361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.65 % (504361)CaDiCaL version: 2.1.3
% 2.14/0.65 % (504361)Termination reason: Refutation not found, incomplete strategy
% 2.14/0.65 % (504361)Time elapsed: 0.001 s
% 2.14/0.65 % (504361)Peak memory usage: 11 MB
% 2.14/0.65 % (504361)Instructions burned: 1 (million)
% 2.14/0.65 % (504361)------------------------------
% 2.14/0.65 % (504361)------------------------------
% 2.14/0.65 % (504362)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1103663068: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)
% 2.14/0.65 % (504359)Instruction limit reached!
% 2.14/0.65 % (504359)------------------------------
% 2.14/0.65 % (504359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.65 % (504359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.65 % (504359)CaDiCaL version: 2.1.3
% 2.14/0.65 % (504359)Termination reason: Instruction limit
% 2.14/0.65 % (504359)Termination phase: Saturation
% 2.14/0.65 % (504359)Time elapsed: 0.025 s
% 2.14/0.65 % (504359)Peak memory usage: 12 MB
% 2.14/0.65 % (504359)Instructions burned: 45 (million)
% 2.14/0.65 % (504366)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.14/0.65 % (504366)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=733238137:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/200Mi)
% 2.14/0.65 % (504362)Instruction limit reached!
% 2.14/0.65 % (504362)------------------------------
% 2.14/0.65 % (504362)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.65 % (504362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.65 % (504362)CaDiCaL version: 2.1.3
% 2.14/0.65 % (504362)Termination reason: Instruction limit
% 2.14/0.65 % (504362)Termination phase: Saturation
% 2.54/0.69 % (504362)Time elapsed: 0.020 s
% 2.54/0.69 % (504362)Peak memory usage: 12 MB
% 2.54/0.69 % (504362)Instructions burned: 22 (million)
% 2.54/0.69 % (504368)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1994060619:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/13Mi)
% 2.54/0.69 % (504368)Instruction limit reached!
% 2.54/0.69 % (504368)------------------------------
% 2.54/0.69 % (504368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.69 % (504368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.69 % (504368)CaDiCaL version: 2.1.3
% 2.54/0.69 % (504368)Termination reason: Instruction limit
% 2.54/0.69 % (504368)Termination phase: Saturation
% 2.54/0.69 % (504368)Time elapsed: 0.008 s
% 2.54/0.69 % (504368)Peak memory usage: 12 MB
% 2.54/0.69 % (504368)Instructions burned: 15 (million)
% 2.54/0.69 % (504370)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=3383452122:i=66:s2at=3:nm=2:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/66Mi)
% 2.54/0.69 % (504337)Instruction limit reached!
% 2.54/0.69 % (504337)------------------------------
% 2.54/0.69 % (504337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.69 % (504337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.69 % (504337)CaDiCaL version: 2.1.3
% 2.54/0.69 % (504337)Termination reason: Instruction limit
% 2.54/0.69 % (504337)Termination phase: Saturation
% 2.54/0.69 % (504337)Time elapsed: 0.097 s
% 2.54/0.69 % (504337)Peak memory usage: 12 MB
% 2.54/0.69 % (504337)Instructions burned: 143 (million)
% 2.54/0.69 % (504354)Instruction limit reached!
% 2.54/0.69 % (504354)------------------------------
% 2.54/0.69 % (504354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.69 % (504354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.69 % (504354)CaDiCaL version: 2.1.3
% 2.54/0.69 % (504354)Termination reason: Instruction limit
% 2.54/0.69 % (504354)Termination phase: Saturation
% 2.54/0.69 % (504354)Time elapsed: 0.089 s
% 2.54/0.69 % (504354)Peak memory usage: 13 MB
% 2.54/0.69 % (504354)Instructions burned: 319 (million)
% 2.54/0.69 % (504372)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=662062451:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 2.54/0.69 % (504372)Refutation not found, incomplete strategy
% 2.54/0.69 % (504372)------------------------------
% 2.54/0.69 % (504372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.69 % (504372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.69 % (504372)CaDiCaL version: 2.1.3
% 2.54/0.69 % (504372)Termination reason: Refutation not found, incomplete strategy
% 2.54/0.69 % (504372)Time elapsed: 0.001 s
% 2.54/0.69 % (504372)Peak memory usage: 11 MB
% 2.54/0.69 % (504372)Instructions burned: 1 (million)
% 2.54/0.69 % (504372)------------------------------
% 2.54/0.69 % (504372)------------------------------
% 2.54/0.69 % (504375)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=1858234014:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2996 on theBenchmark for (2996ds/137Mi)
% 2.54/0.69 % (504374)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1009235325:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 2.54/0.69 % (504370)Instruction limit reached!
% 2.54/0.69 % (504370)------------------------------
% 2.54/0.69 % (504370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.69 % (504370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.69 % (504370)CaDiCaL version: 2.1.3
% 2.54/0.69 % (504370)Termination reason: Instruction limit
% 2.54/0.69 % (504370)Termination phase: Saturation
% 2.54/0.69 % (504370)Time elapsed: 0.032 s
% 2.54/0.69 % (504370)Peak memory usage: 12 MB
% 2.54/0.69 % (504370)Instructions burned: 67 (million)
% 2.54/0.69 % (504378)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=3040286291:cond=on:i=34:hud=10:nm=10:rtra=on_2996 on theBenchmark for (2996ds/34Mi)
% 2.54/0.69 % (504374)Instruction limit reached!
% 2.54/0.69 % (504374)------------------------------
% 2.54/0.69 % (504374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.69 % (504374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/0.76 % (504374)CaDiCaL version: 2.1.3
% 2.82/0.76 % (504374)Termination reason: Instruction limit
% 2.82/0.76 % (504374)Termination phase: Saturation
% 2.82/0.76 % (504374)Time elapsed: 0.019 s
% 2.82/0.76 % (504374)Peak memory usage: 12 MB
% 2.82/0.76 % (504374)Instructions burned: 32 (million)
% 2.82/0.76 % (504375)Instruction limit reached!
% 2.82/0.76 % (504375)------------------------------
% 2.82/0.76 % (504375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.82/0.76 % (504375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/0.76 % (504375)CaDiCaL version: 2.1.3
% 2.82/0.76 % (504375)Termination reason: Instruction limit
% 2.82/0.76 % (504375)Termination phase: Saturation
% 2.82/0.76 % (504375)Time elapsed: 0.029 s
% 2.82/0.76 % (504375)Peak memory usage: 12 MB
% 2.82/0.76 % (504375)Instructions burned: 142 (million)
% 2.82/0.76 % (504366)Instruction limit reached!
% 2.82/0.76 % (504366)------------------------------
% 2.82/0.76 % (504366)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.82/0.76 % (504366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/0.76 % (504366)CaDiCaL version: 2.1.3
% 2.82/0.76 % (504366)Termination reason: Instruction limit
% 2.82/0.76 % (504366)Termination phase: Saturation
% 2.82/0.76 % (504366)Time elapsed: 0.076 s
% 2.82/0.76 % (504366)Peak memory usage: 12 MB
% 2.82/0.76 % (504366)Instructions burned: 201 (million)
% 2.82/0.76 % (504380)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3943704878:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2996 on theBenchmark for (2996ds/67Mi)
% 2.82/0.76 % (504380)Refutation not found, incomplete strategy
% 2.82/0.76 % (504380)------------------------------
% 2.82/0.76 % (504380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.82/0.76 % (504380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/0.76 % (504380)CaDiCaL version: 2.1.3
% 2.82/0.76 % (504380)Termination reason: Refutation not found, incomplete strategy
% 2.82/0.76 % (504380)Time elapsed: 0.001 s
% 2.82/0.76 % (504380)Peak memory usage: 11 MB
% 2.82/0.76 % (504380)Instructions burned: 1 (million)
% 2.82/0.76 % (504378)Instruction limit reached!
% 2.82/0.76 % (504378)------------------------------
% 2.82/0.76 % (504378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.82/0.76 % (504378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/0.76 % (504378)CaDiCaL version: 2.1.3
% 2.82/0.76 % (504378)Termination reason: Instruction limit
% 2.82/0.76 % (504378)Termination phase: Saturation
% 2.82/0.76 % (504378)Time elapsed: 0.019 s
% 2.82/0.76 % (504378)Peak memory usage: 12 MB
% 2.82/0.76 % (504378)Instructions burned: 36 (million)
% 2.82/0.76 % (504380)------------------------------
% 2.82/0.76 % (504380)------------------------------
% 2.82/0.76 % (504383)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=3583284861:st=2:i=246:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/246Mi)
% 2.82/0.76 % (504383)Refutation not found, incomplete strategy
% 2.82/0.76 % (504383)------------------------------
% 2.82/0.76 % (504383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.82/0.76 % (504383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/0.76 % (504383)CaDiCaL version: 2.1.3
% 2.82/0.76 % (504383)Termination reason: Refutation not found, incomplete strategy
% 2.82/0.76 % (504383)Time elapsed: 0.0000 s
% 2.82/0.76 % (504383)Peak memory usage: 11 MB
% 2.82/0.76 % (504383)------------------------------
% 2.82/0.76 % (504383)------------------------------
% 2.82/0.76 % (504384)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=3652640709:cond=on:i=96:bd=all:rtra=on_2996 on theBenchmark for (2996ds/96Mi)
% 2.82/0.76 % (504382)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 2.82/0.76 % (504389)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=2999703758:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/515Mi)
% 2.82/0.76 % (504389)Refutation not found, incomplete strategy
% 2.82/0.76 % (504389)------------------------------
% 2.82/0.76 % (504389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.82/0.76 % (504389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/0.76 % (504389)CaDiCaL version: 2.1.3
% 2.82/0.76 % (504389)Termination reason: Refutation not found, incomplete strategy
% 3.45/0.81 % (504389)Time elapsed: 0.0000 s
% 3.45/0.81 % (504389)Peak memory usage: 12 MB
% 3.45/0.81 % (504389)------------------------------
% 3.45/0.81 % (504389)------------------------------
% 3.45/0.81 % (504382)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=4197480688:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2996 on theBenchmark for (2996ds/180Mi)
% 3.45/0.81 % (504386)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=686617643:i=427:sd=1:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/427Mi)
% 3.45/0.81 % (504386)Refutation not found, incomplete strategy
% 3.45/0.81 % (504386)------------------------------
% 3.45/0.81 % (504386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.45/0.81 % (504386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/0.81 % (504386)CaDiCaL version: 2.1.3
% 3.45/0.81 % (504386)Termination reason: Refutation not found, incomplete strategy
% 3.45/0.81 % (504386)Time elapsed: 0.001 s
% 3.45/0.81 % (504386)Peak memory usage: 11 MB
% 3.45/0.81 % (504387)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=815890495:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/874Mi)
% 3.45/0.81 % (504386)------------------------------
% 3.45/0.81 % (504386)------------------------------
% 3.45/0.81 % (504387)Refutation not found, incomplete strategy
% 3.45/0.81 % (504387)------------------------------
% 3.45/0.81 % (504387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.45/0.81 % (504387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/0.81 % (504387)CaDiCaL version: 2.1.3
% 3.45/0.81 % (504387)Termination reason: Refutation not found, incomplete strategy
% 3.45/0.81 % (504387)Time elapsed: 0.001 s
% 3.45/0.81 % (504387)Peak memory usage: 11 MB
% 3.45/0.81 % (504387)------------------------------
% 3.45/0.81 % (504387)------------------------------
% 3.45/0.81 % (504392)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=2113732241:st=1.5:i=130:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/130Mi)
% 3.45/0.81 % (504392)Refutation not found, incomplete strategy
% 3.45/0.81 % (504392)------------------------------
% 3.45/0.81 % (504392)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.45/0.81 % (504392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/0.81 % (504392)CaDiCaL version: 2.1.3
% 3.45/0.81 % (504392)Termination reason: Refutation not found, incomplete strategy
% 3.45/0.81 % (504392)Time elapsed: 0.0000 s
% 3.45/0.81 % (504392)Peak memory usage: 11 MB
% 3.45/0.81 % (504392)Instructions burned: 1 (million)
% 3.45/0.81 % (504392)------------------------------
% 3.45/0.81 % (504392)------------------------------
% 3.45/0.81 % (504396)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3276988494:i=44:ep=R:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/44Mi)
% 3.45/0.81 % (504399)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=1196286000:i=450:rtra=on:ixr=off:ntd=on_2996 on theBenchmark for (2996ds/450Mi)
% 3.45/0.81 % (504397)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=1676089437:s2a=on:i=571:nm=16:rtra=on_2996 on theBenchmark for (2996ds/571Mi)
% 3.45/0.81 % (504397)Refutation not found, incomplete strategy
% 3.45/0.81 % (504397)------------------------------
% 3.45/0.81 % (504397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.45/0.81 % (504397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/0.81 % (504397)CaDiCaL version: 2.1.3
% 3.45/0.81 % (504397)Termination reason: Refutation not found, incomplete strategy
% 3.45/0.81 % (504397)Time elapsed: 0.002 s
% 3.45/0.81 % (504397)Peak memory usage: 12 MB
% 3.45/0.81 % (504397)Instructions burned: 1 (million)
% 3.45/0.81 % (504397)------------------------------
% 3.45/0.81 % (504397)------------------------------
% 3.45/0.81 % (504384)Instruction limit reached!
% 3.45/0.81 % (504384)------------------------------
% 3.45/0.81 % (504384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.45/0.81 % (504384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/0.81 % (504384)CaDiCaL version: 2.1.3
% 3.45/0.81 % (504384)Termination reason: Instruction limit
% 3.45/0.81 % (504384)Termination phase: Saturation
% 3.45/0.81 % (504384)Time elapsed: 0.044 s
% 3.45/0.81 % (504384)Peak memory usage: 12 MB
% 3.97/0.92 % (504384)Instructions burned: 97 (million)
% 3.97/0.92 % (504403)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=3750708659:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/95Mi)
% 3.97/0.92 % (504396)Instruction limit reached!
% 3.97/0.92 % (504396)------------------------------
% 3.97/0.92 % (504396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.97/0.92 % (504396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.97/0.92 % (504396)CaDiCaL version: 2.1.3
% 3.97/0.92 % (504396)Termination reason: Instruction limit
% 3.97/0.92 % (504396)Termination phase: Saturation
% 3.97/0.92 % (504396)Time elapsed: 0.022 s
% 3.97/0.92 % (504396)Peak memory usage: 12 MB
% 3.97/0.92 % (504396)Instructions burned: 45 (million)
% 3.97/0.92 % (504404)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=422956956:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2995 on theBenchmark for (2995ds/65Mi)
% 3.97/0.92 % (504406)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=703402428:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2995 on theBenchmark for (2995ds/105Mi)
% 3.97/0.92 % (504403)Instruction limit reached!
% 3.97/0.92 % (504403)------------------------------
% 3.97/0.92 % (504403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.97/0.92 % (504403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.97/0.92 % (504403)CaDiCaL version: 2.1.3
% 3.97/0.92 % (504403)Termination reason: Instruction limit
% 3.97/0.92 % (504403)Termination phase: Saturation
% 3.97/0.92 % (504403)Time elapsed: 0.022 s
% 3.97/0.92 % (504403)Peak memory usage: 12 MB
% 3.97/0.92 % (504403)Instructions burned: 97 (million)
% 3.97/0.92 % (504409)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=2078752357:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2995 on theBenchmark for (2995ds/5755Mi)
% 3.97/0.92 % (504409)Refutation not found, incomplete strategy
% 3.97/0.92 % (504409)------------------------------
% 3.97/0.92 % (504409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.97/0.92 % (504409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.97/0.92 % (504409)CaDiCaL version: 2.1.3
% 3.97/0.92 % (504409)Termination reason: Refutation not found, incomplete strategy
% 3.97/0.92 % (504409)Time elapsed: 0.0000 s
% 3.97/0.92 % (504409)Peak memory usage: 12 MB
% 3.97/0.92 % (504409)------------------------------
% 3.97/0.92 % (504409)------------------------------
% 3.97/0.92 % (504404)Instruction limit reached!
% 3.97/0.92 % (504404)------------------------------
% 3.97/0.92 % (504404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.97/0.92 % (504404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.97/0.92 % (504404)CaDiCaL version: 2.1.3
% 3.97/0.92 % (504404)Termination reason: Instruction limit
% 3.97/0.92 % (504404)Termination phase: Saturation
% 3.97/0.92 % (504404)Time elapsed: 0.032 s
% 3.97/0.92 % (504404)Peak memory usage: 12 MB
% 3.97/0.92 % (504404)Instructions burned: 65 (million)
% 3.97/0.92 % (504411)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=818666170:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/375Mi)
% 3.97/0.92 % (504411)Refutation not found, incomplete strategy
% 3.97/0.92 % (504411)------------------------------
% 3.97/0.92 % (504411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.97/0.92 % (504411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.97/0.92 % (504411)CaDiCaL version: 2.1.3
% 3.97/0.92 % (504411)Termination reason: Refutation not found, incomplete strategy
% 3.97/0.92 % (504411)Time elapsed: 0.0000 s
% 3.97/0.92 % (504411)Peak memory usage: 11 MB
% 3.97/0.92 % (504411)------------------------------
% 3.97/0.92 % (504411)------------------------------
% 3.97/0.92 % (504414)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=120882043:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 3.97/0.98 % (504412)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2462219006:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2995 on theBenchmark for (2995ds/495Mi)
% 3.97/0.98 % (504414)Instruction limit reached!
% 3.97/0.98 % (504414)------------------------------
% 3.97/0.98 % (504414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.97/0.98 % (504414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.97/0.98 % (504414)CaDiCaL version: 2.1.3
% 3.97/0.98 % (504414)Termination reason: Instruction limit
% 3.97/0.98 % (504414)Termination phase: Saturation
% 3.97/0.98 % (504414)Time elapsed: 0.010 s
% 3.97/0.98 % (504414)Peak memory usage: 12 MB
% 3.97/0.98 % (504414)Instructions burned: 35 (million)
% 3.97/0.98 % (504382)Instruction limit reached!
% 3.97/0.98 % (504382)------------------------------
% 3.97/0.98 % (504382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.97/0.98 % (504382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.97/0.98 % (504382)CaDiCaL version: 2.1.3
% 3.97/0.98 % (504382)Termination reason: Instruction limit
% 3.97/0.98 % (504382)Termination phase: Saturation
% 3.97/0.98 % (504382)Time elapsed: 0.115 s
% 3.97/0.98 % (504382)Peak memory usage: 12 MB
% 3.97/0.98 % (504382)Instructions burned: 181 (million)
% 3.97/0.98 % (504406)Instruction limit reached!
% 3.97/0.98 % (504406)------------------------------
% 3.97/0.98 % (504406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.97/0.98 % (504406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.97/0.98 % (504406)CaDiCaL version: 2.1.3
% 3.97/0.98 % (504406)Termination reason: Instruction limit
% 3.97/0.98 % (504406)Termination phase: Saturation
% 3.97/0.98 % (504406)Time elapsed: 0.055 s
% 3.97/0.98 % (504406)Peak memory usage: 12 MB
% 3.97/0.98 % (504406)Instructions burned: 106 (million)
% 3.97/0.98 % (504417)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=3502796673:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2995 on theBenchmark for (2995ds/91Mi)
% 3.97/0.98 % (504418)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=3643951973:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2995 on theBenchmark for (2995ds/66Mi)
% 3.97/0.98 % (504418)Refutation not found, incomplete strategy
% 3.97/0.98 % (504418)------------------------------
% 3.97/0.98 % (504418)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.97/0.98 % (504418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.97/0.98 % (504418)CaDiCaL version: 2.1.3
% 3.97/0.98 % (504418)Termination reason: Refutation not found, incomplete strategy
% 3.97/0.98 % (504418)Time elapsed: 0.0000 s
% 3.97/0.98 % (504418)Peak memory usage: 12 MB
% 3.97/0.98 % (504418)------------------------------
% 3.97/0.98 % (504418)------------------------------
% 3.97/0.98 % (504419)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=740796178:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2994 on theBenchmark for (2994ds/22Mi)
% 3.97/0.98 % (504417)Instruction limit reached!
% 3.97/0.98 % (504417)------------------------------
% 3.97/0.98 % (504417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.97/0.98 % (504417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.97/0.98 % (504417)CaDiCaL version: 2.1.3
% 3.97/0.98 % (504417)Termination reason: Instruction limit
% 3.97/0.98 % (504417)Termination phase: Saturation
% 3.97/0.98 % (504417)Time elapsed: 0.022 s
% 3.97/0.98 % (504417)Peak memory usage: 12 MB
% 3.97/0.98 % (504417)Instructions burned: 92 (million)
% 3.97/0.98 % (504419)Instruction limit reached!
% 3.97/0.98 % (504419)------------------------------
% 3.97/0.98 % (504419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.97/0.98 % (504419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.97/0.98 % (504419)CaDiCaL version: 2.1.3
% 3.97/0.98 % (504419)Termination reason: Instruction limit
% 3.97/0.98 % (504419)Termination phase: Saturation
% 3.97/0.98 % (504419)Time elapsed: 0.012 s
% 3.97/0.98 % (504419)Peak memory usage: 12 MB
% 3.97/0.98 % (504419)Instructions burned: 22 (million)
% 3.97/0.98 % (504424)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1582665995:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2994 on theBenchmark for (2994ds/28Mi)
% 3.97/0.98 % (504424)Refutation not found, incomplete strategy
% 3.97/0.98 % (504424)------------------------------
% 3.97/0.98 % (504424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.22/1.07 % (504424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.07 % (504424)CaDiCaL version: 2.1.3
% 5.22/1.07 % (504424)Termination reason: Refutation not found, incomplete strategy
% 5.22/1.07 % (504424)Time elapsed: 0.0000 s
% 5.22/1.07 % (504424)Peak memory usage: 11 MB
% 5.22/1.07 % (504422)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=3687879755:i=338:bd=all:ins=4:rtra=on_2994 on theBenchmark for (2994ds/338Mi)
% 5.22/1.07 % (504424)------------------------------
% 5.22/1.07 % (504424)------------------------------
% 5.22/1.07 % (504428)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=3009172640:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2994 on theBenchmark for (2994ds/340Mi)
% 5.22/1.07 % (504425)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 5.22/1.07 % (504425)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=730269703:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2994 on theBenchmark for (2994ds/137Mi)
% 5.22/1.07 % (504399)Instruction limit reached!
% 5.22/1.07 % (504399)------------------------------
% 5.22/1.07 % (504399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.22/1.07 % (504399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.07 % (504399)CaDiCaL version: 2.1.3
% 5.22/1.07 % (504399)Termination reason: Instruction limit
% 5.22/1.07 % (504399)Termination phase: Saturation
% 5.22/1.07 % (504399)Time elapsed: 0.166 s
% 5.22/1.07 % (504399)Peak memory usage: 12 MB
% 5.22/1.07 % (504399)Instructions burned: 452 (million)
% 5.22/1.07 % (504431)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=3845106090:i=227:sd=1:bd=all:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/227Mi)
% 5.22/1.07 % (504431)Refutation not found, incomplete strategy
% 5.22/1.07 % (504431)------------------------------
% 5.22/1.07 % (504431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.22/1.07 % (504431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.07 % (504431)CaDiCaL version: 2.1.3
% 5.22/1.07 % (504431)Termination reason: Refutation not found, incomplete strategy
% 5.22/1.07 % (504431)Time elapsed: 0.001 s
% 5.22/1.07 % (504431)Peak memory usage: 11 MB
% 5.22/1.07 % (504431)------------------------------
% 5.22/1.07 % (504431)------------------------------
% 5.22/1.07 % (504433)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 5.22/1.07 % (504425)Instruction limit reached!
% 5.22/1.07 % (504425)------------------------------
% 5.22/1.07 % (504425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.22/1.07 % (504425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.07 % (504425)CaDiCaL version: 2.1.3
% 5.22/1.07 % (504425)Termination reason: Instruction limit
% 5.22/1.07 % (504425)Termination phase: Saturation
% 5.22/1.07 % (504425)Time elapsed: 0.062 s
% 5.22/1.07 % (504425)Peak memory usage: 12 MB
% 5.22/1.07 % (504425)Instructions burned: 138 (million)
% 5.22/1.07 % (504433)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=1592006962:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/373Mi)
% 5.22/1.07 % (504428)Instruction limit reached!
% 5.22/1.07 % (504428)------------------------------
% 5.22/1.07 % (504428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.22/1.07 % (504428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.07 % (504428)CaDiCaL version: 2.1.3
% 5.22/1.07 % (504428)Termination reason: Instruction limit
% 5.22/1.07 % (504428)Termination phase: Saturation
% 5.22/1.07 % (504428)Time elapsed: 0.083 s
% 5.22/1.07 % (504428)Peak memory usage: 13 MB
% 5.22/1.07 % (504428)Instructions burned: 345 (million)
% 5.22/1.07 % (504435)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=822654956:i=116:ep=RSTC:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/116Mi)
% 5.22/1.07 % (504436)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=2305413367:i=575:rtra=on_2993 on theBenchmark for (2993ds/575Mi)
% 5.22/1.11 % (504436)Refutation not found, incomplete strategy
% 5.22/1.11 % (504436)------------------------------
% 5.22/1.11 % (504436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.22/1.11 % (504436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.11 % (504436)CaDiCaL version: 2.1.3
% 5.22/1.11 % (504436)Termination reason: Refutation not found, incomplete strategy
% 5.22/1.11 % (504436)Time elapsed: 0.001 s
% 5.22/1.11 % (504436)Peak memory usage: 12 MB
% 5.22/1.11 % (504436)Instructions burned: 1 (million)
% 5.22/1.11 % (504436)------------------------------
% 5.22/1.11 % (504436)------------------------------
% 5.22/1.11 % (504439)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1123773135:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2993 on theBenchmark for (2993ds/270Mi)
% 5.22/1.11 % (504435)Instruction limit reached!
% 5.22/1.11 % (504435)------------------------------
% 5.22/1.11 % (504435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.22/1.11 % (504435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.11 % (504435)CaDiCaL version: 2.1.3
% 5.22/1.11 % (504435)Termination reason: Instruction limit
% 5.22/1.11 % (504435)Termination phase: Saturation
% 5.22/1.11 % (504435)Time elapsed: 0.049 s
% 5.22/1.11 % (504435)Peak memory usage: 12 MB
% 5.22/1.11 % (504435)Instructions burned: 116 (million)
% 5.22/1.11 % (504333)Instruction limit reached!
% 5.22/1.11 % (504333)------------------------------
% 5.22/1.11 % (504333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.22/1.11 % (504333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.11 % (504333)CaDiCaL version: 2.1.3
% 5.22/1.11 % (504333)Termination reason: Instruction limit
% 5.22/1.11 % (504333)Termination phase: Saturation
% 5.22/1.11 % (504333)Time elapsed: 0.491 s
% 5.22/1.11 % (504333)Peak memory usage: 13 MB
% 5.22/1.11 % (504333)Instructions burned: 1242 (million)
% 5.22/1.11 % (504422)Instruction limit reached!
% 5.22/1.11 % (504422)------------------------------
% 5.22/1.11 % (504422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.22/1.11 % (504422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.11 % (504422)CaDiCaL version: 2.1.3
% 5.22/1.11 % (504422)Termination reason: Instruction limit
% 5.22/1.11 % (504422)Termination phase: Saturation
% 5.22/1.11 % (504422)Time elapsed: 0.161 s
% 5.22/1.11 % (504422)Peak memory usage: 13 MB
% 5.22/1.11 % (504422)Instructions burned: 338 (million)
% 5.22/1.11 % (504441)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=3368840580: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_2993 on theBenchmark for (2993ds/9840Mi)
% 5.22/1.11 % (504443)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
% 5.22/1.11 % (504412)Instruction limit reached!
% 5.22/1.11 % (504412)------------------------------
% 5.22/1.11 % (504412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.22/1.11 % (504412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.11 % (504412)CaDiCaL version: 2.1.3
% 5.22/1.11 % (504412)Termination reason: Instruction limit
% 5.22/1.11 % (504412)Termination phase: Saturation
% 5.22/1.11 % (504412)Time elapsed: 0.219 s
% 5.22/1.11 % (504412)Peak memory usage: 13 MB
% 5.22/1.11 % (504412)Instructions burned: 497 (million)
% 5.22/1.11 % (504443)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=1658072684:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/270Mi)
% 5.22/1.11 % (504442)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=3468189565:i=421:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/421Mi)
% 5.22/1.11 % (504442)Refutation not found, incomplete strategy
% 5.22/1.11 % (504442)------------------------------
% 5.22/1.11 % (504442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.22/1.11 % (504442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/1.16 % (504442)CaDiCaL version: 2.1.3
% 5.88/1.16 % (504442)Termination reason: Refutation not found, incomplete strategy
% 5.88/1.16 % (504442)Time elapsed: 0.001 s
% 5.88/1.16 % (504442)Peak memory usage: 11 MB
% 5.88/1.16 % (504442)------------------------------
% 5.88/1.16 % (504442)------------------------------
% 5.88/1.16 % (504448)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 5.88/1.16 % (504448)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
% 5.88/1.16 % (504446)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=550567624:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/31Mi)
% 5.88/1.16 % (504448)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=3273482666:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2992 on theBenchmark for (2992ds/1440Mi)
% 5.88/1.16 % (504446)Instruction limit reached!
% 5.88/1.16 % (504446)------------------------------
% 5.88/1.16 % (504446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.88/1.16 % (504446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/1.16 % (504446)CaDiCaL version: 2.1.3
% 5.88/1.16 % (504446)Termination reason: Instruction limit
% 5.88/1.16 % (504446)Termination phase: Saturation
% 5.88/1.16 % (504446)Time elapsed: 0.017 s
% 5.88/1.16 % (504446)Peak memory usage: 12 MB
% 5.88/1.16 % (504446)Instructions burned: 31 (million)
% 5.88/1.16 % (504451)dis+10_2_sil=128000:si=on:random_seed=4202503779:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2992 on theBenchmark for (2992ds/339Mi)
% 5.88/1.16 % (504443)Instruction limit reached!
% 5.88/1.16 % (504443)------------------------------
% 5.88/1.16 % (504443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.88/1.16 % (504443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/1.16 % (504443)CaDiCaL version: 2.1.3
% 5.88/1.16 % (504443)Termination reason: Instruction limit
% 5.88/1.16 % (504443)Termination phase: Saturation
% 5.88/1.16 % (504443)Time elapsed: 0.056 s
% 5.88/1.16 % (504443)Peak memory usage: 13 MB
% 5.88/1.16 % (504443)Instructions burned: 274 (million)
% 5.88/1.16 % (504451)Refutation not found, incomplete strategy
% 5.88/1.16 % (504451)------------------------------
% 5.88/1.16 % (504451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.88/1.16 % (504451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/1.16 % (504451)CaDiCaL version: 2.1.3
% 5.88/1.16 % (504451)Termination reason: Refutation not found, incomplete strategy
% 5.88/1.16 % (504451)Time elapsed: 0.001 s
% 5.88/1.16 % (504451)Peak memory usage: 11 MB
% 5.88/1.16 % (504451)------------------------------
% 5.88/1.16 % (504451)------------------------------
% 5.88/1.16 % (504453)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=3637652429:i=111:add=on:fgj=on:rtra=on:fdi=1024_2992 on theBenchmark for (2992ds/111Mi)
% 5.88/1.16 % (504454)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=3900268302:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2992 on theBenchmark for (2992ds/122Mi)
% 5.88/1.16 % (504454)Refutation not found, incomplete strategy
% 5.88/1.16 % (504454)------------------------------
% 5.88/1.16 % (504454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.88/1.16 % (504454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/1.16 % (504454)CaDiCaL version: 2.1.3
% 5.88/1.16 % (504454)Termination reason: Refutation not found, incomplete strategy
% 5.88/1.16 % (504454)Time elapsed: 0.001 s
% 5.88/1.16 % (504454)Peak memory usage: 11 MB
% 5.88/1.16 % (504454)------------------------------
% 5.88/1.16 % (504454)------------------------------
% 5.88/1.16 % (504433)Instruction limit reached!
% 5.88/1.16 % (504433)------------------------------
% 5.88/1.16 % (504433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.88/1.16 % (504433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/1.16 % (504433)CaDiCaL version: 2.1.3
% 5.88/1.16 % (504433)Termination reason: Instruction limit
% 6.23/1.23 % (504433)Termination phase: Saturation
% 6.23/1.23 % (504433)Time elapsed: 0.177 s
% 6.23/1.23 % (504433)Peak memory usage: 12 MB
% 6.23/1.23 % (504433)Instructions burned: 374 (million)
% 6.23/1.23 % (504457)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=821054715:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/136Mi)
% 6.23/1.23 % (504457)Refutation not found, incomplete strategy
% 6.23/1.23 % (504457)------------------------------
% 6.23/1.23 % (504457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.23/1.23 % (504457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/1.23 % (504457)CaDiCaL version: 2.1.3
% 6.23/1.23 % (504457)Termination reason: Refutation not found, incomplete strategy
% 6.23/1.23 % (504457)Time elapsed: 0.001 s
% 6.23/1.23 % (504457)Peak memory usage: 11 MB
% 6.23/1.23 % (504457)Instructions burned: 1 (million)
% 6.23/1.23 % (504457)------------------------------
% 6.23/1.23 % (504457)------------------------------
% 6.23/1.23 % (504458)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2165219467:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2992 on theBenchmark for (2992ds/232Mi)
% 6.23/1.23 % (504458)Refutation not found, incomplete strategy
% 6.23/1.23 % (504458)------------------------------
% 6.23/1.23 % (504458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.23/1.23 % (504458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/1.23 % (504458)CaDiCaL version: 2.1.3
% 6.23/1.23 % (504458)Termination reason: Refutation not found, incomplete strategy
% 6.23/1.23 % (504458)Time elapsed: 0.0000 s
% 6.23/1.23 % (504458)Peak memory usage: 11 MB
% 6.23/1.23 % (504458)------------------------------
% 6.23/1.23 % (504458)------------------------------
% 6.23/1.23 % (504439)Instruction limit reached!
% 6.23/1.23 % (504439)------------------------------
% 6.23/1.23 % (504439)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.23/1.23 % (504439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/1.23 % (504439)CaDiCaL version: 2.1.3
% 6.23/1.23 % (504439)Termination reason: Instruction limit
% 6.23/1.23 % (504439)Termination phase: Saturation
% 6.23/1.23 % (504439)Time elapsed: 0.144 s
% 6.23/1.23 % (504439)Peak memory usage: 12 MB
% 6.23/1.23 % (504439)Instructions burned: 272 (million)
% 6.23/1.23 % (504462)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 6.23/1.23 % (504462)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=2572556419:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2991 on theBenchmark for (2991ds/281Mi)
% 6.23/1.23 % (504357)Instruction limit reached!
% 6.23/1.23 % (504357)------------------------------
% 6.23/1.23 % (504357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.23/1.23 % (504357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/1.23 % (504357)CaDiCaL version: 2.1.3
% 6.23/1.23 % (504357)Termination reason: Instruction limit
% 6.23/1.23 % (504357)Termination phase: Saturation
% 6.23/1.23 % (504357)Time elapsed: 0.577 s
% 6.23/1.23 % (504357)Peak memory usage: 13 MB
% 6.23/1.23 % (504357)Instructions burned: 854 (million)
% 6.23/1.23 % (504460)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=47307864:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2991 on theBenchmark for (2991ds/1254Mi)
% 6.23/1.23 % (504460)Refutation not found, incomplete strategy
% 6.23/1.23 % (504460)------------------------------
% 6.23/1.23 % (504460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.23/1.23 % (504460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.23/1.23 % (504460)CaDiCaL version: 2.1.3
% 6.23/1.23 % (504460)Termination reason: Refutation not found, incomplete strategy
% 6.23/1.23 % (504460)Time elapsed: 0.002 s
% 6.23/1.23 % (504460)Peak memory usage: 11 MB
% 6.23/1.23 % (504460)Instructions burned: 3 (million)
% 6.23/1.23 % (504460)------------------------------
% 6.23/1.23 % (504460)------------------------------
% 6.23/1.23 % (504463)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1793389370:i=619:add=on:rtra=on_2991 on theBenchmark for (2991ds/619Mi)
% 6.23/1.23 % (504463)Refutation not found, incomplete strategy
% 7.10/1.42 % (504463)------------------------------
% 7.10/1.42 % (504463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.10/1.42 % (504463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.10/1.42 % (504463)CaDiCaL version: 2.1.3
% 7.10/1.42 % (504463)Termination reason: Refutation not found, incomplete strategy
% 7.10/1.42 % (504463)Time elapsed: 0.002 s
% 7.10/1.42 % (504463)Peak memory usage: 12 MB
% 7.10/1.42 % (504463)Instructions burned: 2 (million)
% 7.10/1.42 % (504463)------------------------------
% 7.10/1.42 % (504463)------------------------------
% 7.10/1.42 % (504453)Instruction limit reached!
% 7.10/1.42 % (504453)------------------------------
% 7.10/1.42 % (504453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.10/1.42 % (504453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.10/1.42 % (504453)CaDiCaL version: 2.1.3
% 7.10/1.42 % (504453)Termination reason: Instruction limit
% 7.10/1.42 % (504453)Termination phase: Saturation
% 7.10/1.42 % (504453)Time elapsed: 0.053 s
% 7.10/1.42 % (504453)Peak memory usage: 12 MB
% 7.10/1.42 % (504453)Instructions burned: 113 (million)
% 7.10/1.42 % (504465)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=3897243585:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/865Mi)
% 7.10/1.42 % (504467)lrs+10_1_sil=128000:si=on:urr=on:random_seed=53112560:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/212Mi)
% 7.10/1.42 % (504467)Refutation not found, incomplete strategy
% 7.10/1.42 % (504467)------------------------------
% 7.10/1.42 % (504467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.10/1.42 % (504467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.10/1.42 % (504467)CaDiCaL version: 2.1.3
% 7.10/1.42 % (504467)Termination reason: Refutation not found, incomplete strategy
% 7.10/1.42 % (504467)Time elapsed: 0.001 s
% 7.10/1.42 % (504467)Peak memory usage: 11 MB
% 7.10/1.42 % (504467)------------------------------
% 7.10/1.42 % (504467)------------------------------
% 7.10/1.42 % (504469)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=3389215130:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/130Mi)
% 7.10/1.42 % (504470)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=2461893529:st=1.5:i=346:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/346Mi)
% 7.10/1.42 % (504469)Refutation not found, incomplete strategy
% 7.10/1.42 % (504469)------------------------------
% 7.10/1.42 % (504469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.10/1.42 % (504469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.10/1.42 % (504469)CaDiCaL version: 2.1.3
% 7.10/1.42 % (504469)Termination reason: Refutation not found, incomplete strategy
% 7.10/1.42 % (504469)Time elapsed: 0.001 s
% 7.10/1.42 % (504469)Peak memory usage: 11 MB
% 7.10/1.42 % (504470)Refutation not found, incomplete strategy
% 7.10/1.42 % (504470)------------------------------
% 7.10/1.42 % (504470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.10/1.42 % (504470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.10/1.42 % (504470)CaDiCaL version: 2.1.3
% 7.10/1.42 % (504470)Termination reason: Refutation not found, incomplete strategy
% 7.10/1.42 % (504470)Time elapsed: 0.001 s
% 7.10/1.42 % (504470)Peak memory usage: 11 MB
% 7.10/1.42 % (504470)Instructions burned: 1 (million)
% 7.10/1.42 % (504469)------------------------------
% 7.10/1.42 % (504469)------------------------------
% 7.10/1.42 % (504470)------------------------------
% 7.10/1.42 % (504470)------------------------------
% 7.10/1.42 % (504473)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=3544107902:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2991 on theBenchmark for (2991ds/152Mi)
% 7.10/1.42 % (504476)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=4204290865:i=75:ep=R:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/75Mi)
% 7.10/1.42 % (504477)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=1873079621:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/387Mi)
% 7.10/1.42 % (504477)Refutation not found, incomplete strategy
% 7.10/1.42 % (504477)------------------------------
% 8.32/1.62 % (504477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.32/1.62 % (504477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.32/1.62 % (504477)CaDiCaL version: 2.1.3
% 8.32/1.62 % (504477)Termination reason: Refutation not found, incomplete strategy
% 8.32/1.62 % (504477)Time elapsed: 0.001 s
% 8.32/1.62 % (504477)Peak memory usage: 11 MB
% 8.32/1.62 % (504477)Instructions burned: 1 (million)
% 8.32/1.62 % (504477)------------------------------
% 8.32/1.62 % (504477)------------------------------
% 8.32/1.62 % (504462)Instruction limit reached!
% 8.32/1.62 % (504462)------------------------------
% 8.32/1.62 % (504462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.32/1.62 % (504462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.32/1.62 % (504462)CaDiCaL version: 2.1.3
% 8.32/1.62 % (504462)Termination reason: Instruction limit
% 8.32/1.62 % (504462)Termination phase: Saturation
% 8.32/1.62 % (504462)Time elapsed: 0.079 s
% 8.32/1.62 % (504462)Peak memory usage: 13 MB
% 8.32/1.62 % (504462)Instructions burned: 283 (million)
% 8.32/1.62 % (504481)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=4025562308:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2991 on theBenchmark for (2991ds/148Mi)
% 8.32/1.62 % (504482)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=1678003033:i=161:piset=and:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/161Mi)
% 8.32/1.62 % (504476)Instruction limit reached!
% 8.32/1.62 % (504476)------------------------------
% 8.32/1.62 % (504476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.32/1.62 % (504476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.32/1.62 % (504476)CaDiCaL version: 2.1.3
% 8.32/1.62 % (504476)Termination reason: Instruction limit
% 8.32/1.62 % (504476)Termination phase: Saturation
% 8.32/1.62 % (504476)Time elapsed: 0.036 s
% 8.32/1.62 % (504476)Peak memory usage: 12 MB
% 8.32/1.62 % (504476)Instructions burned: 77 (million)
% 8.32/1.62 % (504485)lrs+10_1_sil=128000:si=on:random_seed=2146507897:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/888Mi)
% 8.32/1.62 % (504485)Refutation not found, incomplete strategy
% 8.32/1.62 % (504485)------------------------------
% 8.32/1.62 % (504485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.32/1.62 % (504485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.32/1.62 % (504485)CaDiCaL version: 2.1.3
% 8.32/1.62 % (504485)Termination reason: Refutation not found, incomplete strategy
% 8.32/1.62 % (504485)Time elapsed: 0.001 s
% 8.32/1.62 % (504485)Peak memory usage: 11 MB
% 8.32/1.62 % (504485)------------------------------
% 8.32/1.62 % (504485)------------------------------
% 8.32/1.62 % (504473)Instruction limit reached!
% 8.32/1.62 % (504473)------------------------------
% 8.32/1.62 % (504473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.32/1.62 % (504473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.32/1.62 % (504473)CaDiCaL version: 2.1.3
% 8.32/1.62 % (504473)Termination reason: Instruction limit
% 8.32/1.62 % (504473)Termination phase: Saturation
% 8.32/1.62 % (504473)Time elapsed: 0.073 s
% 8.32/1.62 % (504473)Peak memory usage: 12 MB
% 8.32/1.62 % (504473)Instructions burned: 154 (million)
% 8.32/1.62 % (504482)Instruction limit reached!
% 8.32/1.62 % (504482)------------------------------
% 8.32/1.62 % (504482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.32/1.62 % (504482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.32/1.62 % (504482)CaDiCaL version: 2.1.3
% 8.32/1.62 % (504482)Termination reason: Instruction limit
% 8.32/1.62 % (504482)Termination phase: Saturation
% 8.32/1.62 % (504482)Time elapsed: 0.034 s
% 8.32/1.62 % (504482)Peak memory usage: 12 MB
% 8.32/1.62 % (504482)Instructions burned: 167 (million)
% 8.32/1.62 % (504487)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=1020682142:i=136:add=on:ins=4:rtra=on:sup=off_2990 on theBenchmark for (2990ds/136Mi)
% 8.32/1.62 % (504489)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=3483762838:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2990 on theBenchmark for (2990ds/93Mi)
% 8.32/1.62 % (504488)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=323411651:i=88:s2at=3:nm=2:rtra=on:rawr=on_2990 on theBenchmark for (2990ds/88Mi)
% 9.08/1.77 % (504489)Instruction limit reached!
% 9.08/1.77 % (504489)------------------------------
% 9.08/1.77 % (504489)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.08/1.77 % (504489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.08/1.77 % (504489)CaDiCaL version: 2.1.3
% 9.08/1.77 % (504489)Termination reason: Instruction limit
% 9.08/1.77 % (504489)Termination phase: Saturation
% 9.08/1.77 % (504489)Time elapsed: 0.024 s
% 9.08/1.77 % (504489)Peak memory usage: 12 MB
% 9.08/1.77 % (504489)Instructions burned: 96 (million)
% 9.08/1.77 % (504493)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3745865196:i=2186:rtra=on:ixr=off_2990 on theBenchmark for (2990ds/2186Mi)
% 9.08/1.77 % (504481)Instruction limit reached!
% 9.08/1.77 % (504481)------------------------------
% 9.08/1.77 % (504481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.08/1.77 % (504481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.08/1.77 % (504481)CaDiCaL version: 2.1.3
% 9.08/1.77 % (504481)Termination reason: Instruction limit
% 9.08/1.77 % (504481)Termination phase: Saturation
% 9.08/1.77 % (504481)Time elapsed: 0.083 s
% 9.08/1.77 % (504481)Peak memory usage: 12 MB
% 9.08/1.77 % (504481)Instructions burned: 150 (million)
% 9.08/1.77 % (504488)Instruction limit reached!
% 9.08/1.77 % (504488)------------------------------
% 9.08/1.77 % (504488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.08/1.77 % (504488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.08/1.77 % (504488)CaDiCaL version: 2.1.3
% 9.08/1.77 % (504488)Termination reason: Instruction limit
% 9.08/1.77 % (504488)Termination phase: Saturation
% 9.08/1.77 % (504488)Time elapsed: 0.042 s
% 9.08/1.77 % (504488)Peak memory usage: 12 MB
% 9.08/1.77 % (504488)Instructions burned: 88 (million)
% 9.08/1.77 % (504487)Instruction limit reached!
% 9.08/1.77 % (504487)------------------------------
% 9.08/1.77 % (504487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.08/1.77 % (504487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.08/1.77 % (504487)CaDiCaL version: 2.1.3
% 9.08/1.77 % (504487)Termination reason: Instruction limit
% 9.08/1.77 % (504487)Termination phase: Saturation
% 9.08/1.77 % (504487)Time elapsed: 0.062 s
% 9.08/1.77 % (504487)Peak memory usage: 12 MB
% 9.08/1.77 % (504487)Instructions burned: 137 (million)
% 9.08/1.77 % (504496)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=32015820:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2989 on theBenchmark for (2989ds/805Mi)
% 9.08/1.77 % (504495)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=401262188:s2a=on:i=240:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/240Mi)
% 9.08/1.77 % (504497)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 9.08/1.77 % (504497)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=1346858969:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2989 on theBenchmark for (2989ds/391Mi)
% 9.08/1.77 % (504497)Refutation not found, incomplete strategy
% 9.08/1.77 % (504497)------------------------------
% 9.08/1.77 % (504497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.08/1.77 % (504497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.08/1.77 % (504497)CaDiCaL version: 2.1.3
% 9.08/1.77 % (504497)Termination reason: Refutation not found, incomplete strategy
% 9.08/1.77 % (504497)Time elapsed: 0.001 s
% 9.08/1.77 % (504497)Peak memory usage: 11 MB
% 9.08/1.77 % (504497)Instructions burned: 1 (million)
% 9.08/1.77 % (504497)------------------------------
% 9.08/1.77 % (504497)------------------------------
% 9.08/1.77 % (504501)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=832797624:i=355:av=off:fsr=off:rtra=on:ixr=off_2989 on theBenchmark for (2989ds/355Mi)
% 9.08/1.77 % (504495)Instruction limit reached!
% 9.08/1.77 % (504495)------------------------------
% 9.08/1.77 % (504495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.08/1.77 % (504495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.99/1.82 % (504495)CaDiCaL version: 2.1.3
% 9.99/1.82 % (504495)Termination reason: Instruction limit
% 9.99/1.82 % (504495)Termination phase: Saturation
% 9.99/1.82 % (504495)Time elapsed: 0.124 s
% 9.99/1.82 % (504495)Peak memory usage: 12 MB
% 9.99/1.82 % (504495)Instructions burned: 241 (million)
% 9.99/1.82 % (504503)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=3834605944:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/314Mi)
% 9.99/1.82 % (504503)Refutation not found, incomplete strategy
% 9.99/1.82 % (504503)------------------------------
% 9.99/1.82 % (504503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.99/1.82 % (504503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.99/1.82 % (504503)CaDiCaL version: 2.1.3
% 9.99/1.82 % (504503)Termination reason: Refutation not found, incomplete strategy
% 9.99/1.82 % (504503)Time elapsed: 0.001 s
% 9.99/1.82 % (504503)Peak memory usage: 11 MB
% 9.99/1.82 % (504503)------------------------------
% 9.99/1.82 % (504503)------------------------------
% 9.99/1.82 % (504505)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=511216277:s2a=on:i=251:fsr=off:rtra=on_2988 on theBenchmark for (2988ds/251Mi)
% 9.99/1.82 % (504501)Instruction limit reached!
% 9.99/1.82 % (504501)------------------------------
% 9.99/1.82 % (504501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.99/1.82 % (504501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.99/1.82 % (504501)CaDiCaL version: 2.1.3
% 9.99/1.82 % (504501)Termination reason: Instruction limit
% 9.99/1.82 % (504501)Termination phase: Saturation
% 9.99/1.82 % (504501)Time elapsed: 0.190 s
% 9.99/1.82 % (504501)Peak memory usage: 12 MB
% 9.99/1.82 % (504501)Instructions burned: 356 (million)
% 9.99/1.82 % (504448)Instruction limit reached!
% 9.99/1.82 % (504448)------------------------------
% 9.99/1.82 % (504448)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.99/1.82 % (504448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.99/1.82 % (504448)CaDiCaL version: 2.1.3
% 9.99/1.82 % (504448)Termination reason: Instruction limit
% 9.99/1.82 % (504448)Termination phase: Saturation
% 9.99/1.82 % (504448)Time elapsed: 0.524 s
% 9.99/1.82 % (504448)Peak memory usage: 13 MB
% 9.99/1.82 % (504448)Instructions burned: 1441 (million)
% 9.99/1.82 % (504507)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=3758450634: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)
% 9.99/1.82 % (504508)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=2912068211:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2987 on theBenchmark for (2987ds/673Mi)
% 9.99/1.82 % (504465)Instruction limit reached!
% 9.99/1.82 % (504465)------------------------------
% 9.99/1.82 % (504465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.99/1.82 % (504465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.99/1.82 % (504465)CaDiCaL version: 2.1.3
% 9.99/1.82 % (504465)Termination reason: Instruction limit
% 9.99/1.82 % (504465)Termination phase: Saturation
% 9.99/1.82 % (504465)Time elapsed: 0.440 s
% 9.99/1.82 % (504465)Peak memory usage: 15 MB
% 9.99/1.82 % (504465)Instructions burned: 867 (million)
% 9.99/1.82 % (504511)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=80203616:i=116:ep=RSTC:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/116Mi)
% 9.99/1.82 % (504505)Instruction limit reached!
% 9.99/1.82 % (504505)------------------------------
% 9.99/1.82 % (504505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.99/1.82 % (504505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.99/1.82 % (504505)CaDiCaL version: 2.1.3
% 9.99/1.82 % (504505)Termination reason: Instruction limit
% 9.99/1.82 % (504505)Termination phase: Saturation
% 9.99/1.82 % (504505)Time elapsed: 0.141 s
% 9.99/1.82 % (504505)Peak memory usage: 12 MB
% 9.99/1.82 % (504505)Instructions burned: 252 (million)
% 9.99/1.82 % (504496)Instruction limit reached!
% 9.99/1.82 % (504496)------------------------------
% 9.99/1.82 % (504496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.77/1.96 % (504496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/1.96 % (504496)CaDiCaL version: 2.1.3
% 10.77/1.96 % (504496)Termination reason: Instruction limit
% 10.77/1.96 % (504496)Termination phase: Saturation
% 10.77/1.96 % (504496)Time elapsed: 0.325 s
% 10.77/1.96 % (504496)Peak memory usage: 14 MB
% 10.77/1.96 % (504496)Instructions burned: 805 (million)
% 10.77/1.96 % (504511)Instruction limit reached!
% 10.77/1.96 % (504511)------------------------------
% 10.77/1.96 % (504511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.77/1.96 % (504511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/1.96 % (504511)CaDiCaL version: 2.1.3
% 10.77/1.96 % (504511)Termination reason: Instruction limit
% 10.77/1.96 % (504511)Termination phase: Saturation
% 10.77/1.96 % (504511)Time elapsed: 0.049 s
% 10.77/1.96 % (504511)Peak memory usage: 12 MB
% 10.77/1.96 % (504511)Instructions burned: 117 (million)
% 10.77/1.96 % (504515)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=285000786:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2986 on theBenchmark for (2986ds/270Mi)
% 10.77/1.96 % (504516)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=980797177: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_2986 on theBenchmark for (2986ds/30Mi)
% 10.77/1.96 % (504517)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 10.77/1.96 % (504517)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=307836835:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2986 on theBenchmark for (2986ds/39Mi)
% 10.77/1.96 % (504516)Instruction limit reached!
% 10.77/1.96 % (504516)------------------------------
% 10.77/1.96 % (504516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.77/1.96 % (504516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/1.96 % (504516)CaDiCaL version: 2.1.3
% 10.77/1.96 % (504516)Termination reason: Instruction limit
% 10.77/1.96 % (504516)Termination phase: Saturation
% 10.77/1.96 % (504516)Time elapsed: 0.014 s
% 10.77/1.96 % (504516)Peak memory usage: 12 MB
% 10.77/1.96 % (504516)Instructions burned: 30 (million)
% 10.77/1.96 % (504517)Instruction limit reached!
% 10.77/1.96 % (504517)------------------------------
% 10.77/1.96 % (504517)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.77/1.96 % (504517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/1.96 % (504517)CaDiCaL version: 2.1.3
% 10.77/1.96 % (504517)Termination reason: Instruction limit
% 10.77/1.96 % (504517)Termination phase: Saturation
% 10.77/1.96 % (504517)Time elapsed: 0.021 s
% 10.77/1.96 % (504517)Peak memory usage: 12 MB
% 10.77/1.96 % (504517)Instructions burned: 41 (million)
% 10.77/1.96 % (504521)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2597769641:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2986 on theBenchmark for (2986ds/365Mi)
% 10.77/1.96 % (504522)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3900655058:i=158:av=off:rtra=on_2986 on theBenchmark for (2986ds/158Mi)
% 10.77/1.96 % (504522)Instruction limit reached!
% 10.77/1.96 % (504522)------------------------------
% 10.77/1.96 % (504522)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.77/1.96 % (504522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/1.96 % (504522)CaDiCaL version: 2.1.3
% 10.77/1.96 % (504522)Termination reason: Instruction limit
% 10.77/1.96 % (504522)Termination phase: Saturation
% 10.77/1.96 % (504522)Time elapsed: 0.065 s
% 10.77/1.96 % (504522)Peak memory usage: 12 MB
% 10.77/1.96 % (504522)Instructions burned: 158 (million)
% 10.77/1.96 % (504493)Instruction limit reached!
% 10.77/1.96 % (504493)------------------------------
% 10.77/1.96 % (504493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.77/1.96 % (504493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/1.96 % (504493)CaDiCaL version: 2.1.3
% 10.77/1.96 % (504493)Termination reason: Instruction limit
% 10.77/1.96 % (504493)Termination phase: Saturation
% 10.77/1.96 % (504493)Time elapsed: 0.499 s
% 10.77/1.96 % (504493)Peak memory usage: 13 MB
% 10.77/1.96 % (504493)Instructions burned: 2186 (million)
% 10.77/1.96 % (504525)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 12.30/2.04 % (504525)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=1652394124:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/252Mi)
% 12.30/2.04 % (504526)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=2679163884:i=213:rtra=on:ss=axioms_2985 on theBenchmark for (2985ds/213Mi)
% 12.30/2.04 % (504526)Refutation not found, incomplete strategy
% 12.30/2.04 % (504526)------------------------------
% 12.30/2.04 % (504526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.30/2.04 % (504526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.30/2.04 % (504526)CaDiCaL version: 2.1.3
% 12.30/2.04 % (504526)Termination reason: Refutation not found, incomplete strategy
% 12.30/2.04 % (504526)Time elapsed: 0.0000 s
% 12.30/2.04 % (504526)Peak memory usage: 11 MB
% 12.30/2.04 % (504526)------------------------------
% 12.30/2.04 % (504526)------------------------------
% 12.30/2.04 % (504515)Instruction limit reached!
% 12.30/2.04 % (504515)------------------------------
% 12.30/2.04 % (504515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.30/2.04 % (504515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.30/2.04 % (504515)CaDiCaL version: 2.1.3
% 12.30/2.04 % (504515)Termination reason: Instruction limit
% 12.30/2.04 % (504515)Termination phase: Saturation
% 12.30/2.04 % (504515)Time elapsed: 0.159 s
% 12.30/2.04 % (504515)Peak memory usage: 12 MB
% 12.30/2.04 % (504515)Instructions burned: 271 (million)
% 12.30/2.04 % (504529)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=4186810528:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2984 on theBenchmark for (2984ds/160Mi)
% 12.30/2.04 % (504529)Refutation not found, incomplete strategy
% 12.30/2.04 % (504529)------------------------------
% 12.30/2.04 % (504529)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.30/2.04 % (504529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.30/2.04 % (504529)CaDiCaL version: 2.1.3
% 12.30/2.04 % (504529)Termination reason: Refutation not found, incomplete strategy
% 12.30/2.04 % (504529)Time elapsed: 0.0000 s
% 12.30/2.04 % (504529)Peak memory usage: 11 MB
% 12.30/2.04 % (504529)Instructions burned: 1 (million)
% 12.30/2.04 % (504529)------------------------------
% 12.30/2.04 % (504529)------------------------------
% 12.30/2.04 % (504521)Instruction limit reached!
% 12.30/2.04 % (504521)------------------------------
% 12.30/2.04 % (504521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.30/2.04 % (504521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.30/2.04 % (504521)CaDiCaL version: 2.1.3
% 12.30/2.04 % (504521)Termination reason: Instruction limit
% 12.30/2.04 % (504521)Termination phase: Saturation
% 12.30/2.04 % (504521)Time elapsed: 0.126 s
% 12.30/2.04 % (504521)Peak memory usage: 12 MB
% 12.30/2.04 % (504521)Instructions burned: 368 (million)
% 12.30/2.04 % (504508)Instruction limit reached!
% 12.30/2.04 % (504508)------------------------------
% 12.30/2.04 % (504508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.30/2.04 % (504508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.30/2.04 % (504508)CaDiCaL version: 2.1.3
% 12.30/2.04 % (504508)Termination reason: Instruction limit
% 12.30/2.04 % (504508)Termination phase: Saturation
% 12.30/2.04 % (504508)Time elapsed: 0.264 s
% 12.30/2.04 % (504508)Peak memory usage: 13 MB
% 12.30/2.04 % (504508)Instructions burned: 675 (million)
% 12.30/2.04 % (504532)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 12.30/2.04 % (504532)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=581068117:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2984 on theBenchmark for (2984ds/237Mi)
% 12.30/2.04 % (504532)Refutation not found, incomplete strategy
% 12.30/2.04 % (504532)------------------------------
% 12.30/2.04 % (504532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.30/2.04 % (504532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.30/2.11 % (504532)CaDiCaL version: 2.1.3
% 12.30/2.11 % (504532)Termination reason: Refutation not found, incomplete strategy
% 12.30/2.11 % (504532)Time elapsed: 0.0000 s
% 12.30/2.11 % (504532)Peak memory usage: 11 MB
% 12.30/2.11 % (504530)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=2433930092:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2984 on theBenchmark for (2984ds/763Mi)
% 12.30/2.11 % (504532)------------------------------
% 12.30/2.11 % (504532)------------------------------
% 12.30/2.11 % (504533)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=2083668089:s2a=on:i=386:rtra=on:ntd=on_2984 on theBenchmark for (2984ds/386Mi)
% 12.30/2.11 % (504534)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=1046242986:i=300:piset=and:nm=32:rtra=on_2984 on theBenchmark for (2984ds/300Mi)
% 12.30/2.11 % (504538)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=565307831:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/567Mi)
% 12.30/2.11 % (504538)Refutation not found, incomplete strategy
% 12.30/2.11 % (504538)------------------------------
% 12.30/2.11 % (504538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.30/2.11 % (504538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.30/2.11 % (504538)CaDiCaL version: 2.1.3
% 12.30/2.11 % (504538)Termination reason: Refutation not found, incomplete strategy
% 12.30/2.11 % (504538)Time elapsed: 0.002 s
% 12.30/2.11 % (504538)Peak memory usage: 11 MB
% 12.30/2.11 % (504538)Instructions burned: 1 (million)
% 12.30/2.11 % (504538)------------------------------
% 12.30/2.11 % (504538)------------------------------
% 12.30/2.11 % (504541)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=1004726965:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2984 on theBenchmark for (2984ds/379Mi)
% 12.30/2.11 % (504541)Refutation not found, incomplete strategy
% 12.30/2.11 % (504541)------------------------------
% 12.30/2.11 % (504541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.30/2.11 % (504541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.30/2.11 % (504541)CaDiCaL version: 2.1.3
% 12.30/2.11 % (504541)Termination reason: Refutation not found, incomplete strategy
% 12.30/2.11 % (504541)Time elapsed: 0.0000 s
% 12.30/2.11 % (504541)Peak memory usage: 12 MB
% 12.30/2.11 % (504541)------------------------------
% 12.30/2.11 % (504541)------------------------------
% 12.30/2.11 % (504525)Instruction limit reached!
% 12.30/2.11 % (504525)------------------------------
% 12.30/2.11 % (504525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.30/2.11 % (504525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.30/2.11 % (504525)CaDiCaL version: 2.1.3
% 12.30/2.11 % (504525)Termination reason: Instruction limit
% 12.30/2.11 % (504525)Termination phase: Saturation
% 12.30/2.11 % (504525)Time elapsed: 0.102 s
% 12.30/2.11 % (504525)Peak memory usage: 12 MB
% 12.30/2.11 % (504525)Instructions burned: 255 (million)
% 12.30/2.11 % (504543)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=2023855254:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2984 on theBenchmark for (2984ds/429Mi)
% 12.30/2.11 % (504544)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=2512558958:i=478:bd=all:rtra=on_2983 on theBenchmark for (2983ds/478Mi)
% 12.30/2.11 % (504544)Refutation not found, incomplete strategy
% 12.30/2.11 % (504544)------------------------------
% 12.30/2.11 % (504544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.30/2.11 % (504544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.30/2.11 % (504544)CaDiCaL version: 2.1.3
% 12.30/2.11 % (504544)Termination reason: Refutation not found, incomplete strategy
% 12.30/2.11 % (504544)Time elapsed: 0.001 s
% 12.30/2.11 % (504544)Peak memory usage: 12 MB
% 12.30/2.11 % (504544)Instructions burned: 1 (million)
% 12.30/2.11 % (504544)------------------------------
% 12.30/2.11 % (504544)------------------------------
% 12.30/2.11 % (504547)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1440013751:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2983 on theBenchmark for (2983ds/445Mi)
% 12.30/2.11 % (504534)Instruction limit reached!
% 12.30/2.11 % (504534)------------------------------
% 12.30/2.11 % (504534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.69/2.30 % (504534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.69/2.30 % (504534)CaDiCaL version: 2.1.3
% 13.69/2.30 % (504534)Termination reason: Instruction limit
% 13.69/2.30 % (504534)Termination phase: Saturation
% 13.69/2.30 % (504534)Time elapsed: 0.132 s
% 13.69/2.30 % (504534)Peak memory usage: 12 MB
% 13.69/2.30 % (504534)Instructions burned: 302 (million)
% 13.69/2.30 % (504554)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=166310613:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2983 on theBenchmark for (2983ds/71Mi)
% 13.69/2.30 % (504543)Instruction limit reached!
% 13.69/2.30 % (504543)------------------------------
% 13.69/2.30 % (504543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.69/2.30 % (504543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.69/2.30 % (504543)CaDiCaL version: 2.1.3
% 13.69/2.30 % (504543)Termination reason: Instruction limit
% 13.69/2.30 % (504543)Termination phase: Saturation
% 13.69/2.30 % (504543)Time elapsed: 0.126 s
% 13.69/2.30 % (504543)Peak memory usage: 12 MB
% 13.69/2.30 % (504543)Instructions burned: 431 (million)
% 13.69/2.30 % (504533)Instruction limit reached!
% 13.69/2.30 % (504533)------------------------------
% 13.69/2.30 % (504533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.69/2.30 % (504533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.69/2.30 % (504533)CaDiCaL version: 2.1.3
% 13.69/2.30 % (504533)Termination reason: Instruction limit
% 13.69/2.30 % (504533)Termination phase: Saturation
% 13.69/2.30 % (504533)Time elapsed: 0.198 s
% 13.69/2.30 % (504533)Peak memory usage: 12 MB
% 13.69/2.30 % (504533)Instructions burned: 387 (million)
% 13.69/2.30 % (504554)Instruction limit reached!
% 13.69/2.30 % (504554)------------------------------
% 13.69/2.30 % (504554)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.69/2.30 % (504554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.69/2.30 % (504554)CaDiCaL version: 2.1.3
% 13.69/2.30 % (504554)Termination reason: Instruction limit
% 13.69/2.30 % (504554)Termination phase: Saturation
% 13.69/2.30 % (504554)Time elapsed: 0.037 s
% 13.69/2.30 % (504554)Peak memory usage: 12 MB
% 13.69/2.30 % (504554)Instructions burned: 72 (million)
% 13.69/2.30 % (504557)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=1563842009:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2982 on theBenchmark for (2982ds/4980Mi)
% 13.69/2.30 % (504557)Refutation not found, incomplete strategy
% 13.69/2.30 % (504557)------------------------------
% 13.69/2.30 % (504557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.69/2.30 % (504557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.69/2.30 % (504557)CaDiCaL version: 2.1.3
% 13.69/2.30 % (504557)Termination reason: Refutation not found, incomplete strategy
% 13.69/2.30 % (504557)Time elapsed: 0.0000 s
% 13.69/2.30 % (504557)Peak memory usage: 12 MB
% 13.69/2.30 % (504557)------------------------------
% 13.69/2.30 % (504557)------------------------------
% 13.69/2.30 % (504558)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
% 13.69/2.30 % (504558)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 13.69/2.30 % (504556)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1828007727:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2982 on theBenchmark for (2982ds/302Mi)
% 13.69/2.30 % (504556)Refutation not found, incomplete strategy
% 13.69/2.30 % (504556)------------------------------
% 13.69/2.30 % (504556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.69/2.30 % (504556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.69/2.30 % (504556)CaDiCaL version: 2.1.3
% 13.69/2.30 % (504556)Termination reason: Refutation not found, incomplete strategy
% 13.69/2.30 % (504556)Time elapsed: 0.001 s
% 13.69/2.30 % (504556)Peak memory usage: 12 MB
% 13.69/2.30 % (504556)------------------------------
% 13.69/2.30 % (504556)------------------------------
% 13.69/2.30 % (504558)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=157602511:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2982 on theBenchmark for (2982ds/100Mi)
% 13.69/2.37 % (504560)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=3726625398:i=76:piset=equals:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/76Mi)
% 13.69/2.37 % (504562)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=2918514048:i=289:rtra=on_2982 on theBenchmark for (2982ds/289Mi)
% 13.69/2.37 % (504562)Refutation not found, incomplete strategy
% 13.69/2.37 % (504562)------------------------------
% 13.69/2.37 % (504562)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.69/2.37 % (504562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.69/2.37 % (504562)CaDiCaL version: 2.1.3
% 13.69/2.37 % (504562)Termination reason: Refutation not found, incomplete strategy
% 13.69/2.37 % (504562)Time elapsed: 0.001 s
% 13.69/2.37 % (504562)Peak memory usage: 11 MB
% 13.69/2.37 % (504562)Instructions burned: 1 (million)
% 13.69/2.37 % (504562)------------------------------
% 13.69/2.37 % (504562)------------------------------
% 13.69/2.37 % (504560)Instruction limit reached!
% 13.69/2.37 % (504560)------------------------------
% 13.69/2.37 % (504560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.69/2.37 % (504560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.69/2.37 % (504560)CaDiCaL version: 2.1.3
% 13.69/2.37 % (504560)Termination reason: Instruction limit
% 13.69/2.37 % (504560)Termination phase: Saturation
% 13.69/2.37 % (504560)Time elapsed: 0.020 s
% 13.69/2.37 % (504560)Peak memory usage: 12 MB
% 13.69/2.37 % (504560)Instructions burned: 78 (million)
% 13.69/2.37 % (504567)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=1888537298:cond=on:i=34:hud=10:nm=10:rtra=on_2982 on theBenchmark for (2982ds/34Mi)
% 13.69/2.37 % (504566)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=803205068:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2982 on theBenchmark for (2982ds/493Mi)
% 13.69/2.37 % (504567)Instruction limit reached!
% 13.69/2.37 % (504567)------------------------------
% 13.69/2.37 % (504567)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.69/2.37 % (504567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.69/2.37 % (504567)CaDiCaL version: 2.1.3
% 13.69/2.37 % (504567)Termination reason: Instruction limit
% 13.69/2.37 % (504567)Termination phase: Saturation
% 13.69/2.37 % (504567)Time elapsed: 0.010 s
% 13.69/2.37 % (504567)Peak memory usage: 12 MB
% 13.69/2.37 % (504567)Instructions burned: 35 (million)
% 13.69/2.37 % (504558)Instruction limit reached!
% 13.69/2.37 % (504558)------------------------------
% 13.69/2.37 % (504558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.69/2.37 % (504558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.69/2.37 % (504558)CaDiCaL version: 2.1.3
% 13.69/2.37 % (504558)Termination reason: Instruction limit
% 13.69/2.37 % (504558)Termination phase: Saturation
% 13.69/2.37 % (504558)Time elapsed: 0.048 s
% 13.69/2.37 % (504558)Peak memory usage: 12 MB
% 13.69/2.37 % (504558)Instructions burned: 101 (million)
% 13.69/2.37 % (504570)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 13.69/2.37 % (504570)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=1167215911:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2981 on theBenchmark for (2981ds/372Mi)
% 13.69/2.37 % (504570)Refutation not found, incomplete strategy
% 13.69/2.37 % (504570)------------------------------
% 13.69/2.37 % (504570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.69/2.37 % (504570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.69/2.37 % (504570)CaDiCaL version: 2.1.3
% 13.69/2.37 % (504570)Termination reason: Refutation not found, incomplete strategy
% 13.69/2.37 % (504570)Time elapsed: 0.001 s
% 13.69/2.37 % (504570)Peak memory usage: 11 MB
% 13.69/2.37 % (504570)Instructions burned: 2 (million)
% 13.69/2.37 % (504570)------------------------------
% 13.69/2.37 % (504570)------------------------------
% 13.69/2.37 % (504571)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=2981026706:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2981 on theBenchmark for (2981ds/670Mi)
% 15.03/2.69 % (504573)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1068757816:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2981 on theBenchmark for (2981ds/647Mi)
% 15.03/2.69 % (504573)Refutation not found, incomplete strategy
% 15.03/2.69 % (504573)------------------------------
% 15.03/2.69 % (504573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.03/2.69 % (504573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.03/2.69 % (504573)CaDiCaL version: 2.1.3
% 15.03/2.69 % (504573)Termination reason: Refutation not found, incomplete strategy
% 15.03/2.69 % (504573)Time elapsed: 0.0000 s
% 15.03/2.69 % (504573)Peak memory usage: 11 MB
% 15.03/2.69 % (504573)------------------------------
% 15.03/2.69 % (504573)------------------------------
% 15.03/2.69 % (504576)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=585143684:i=857:add=off:kws=frequency:rtra=on:ntd=on_2981 on theBenchmark for (2981ds/857Mi)
% 15.03/2.69 % (504547)Instruction limit reached!
% 15.03/2.69 % (504547)------------------------------
% 15.03/2.69 % (504547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.03/2.69 % (504547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.03/2.69 % (504547)CaDiCaL version: 2.1.3
% 15.03/2.69 % (504547)Termination reason: Instruction limit
% 15.03/2.69 % (504547)Termination phase: Saturation
% 15.03/2.69 % (504547)Time elapsed: 0.238 s
% 15.03/2.69 % (504547)Peak memory usage: 14 MB
% 15.03/2.69 % (504547)Instructions burned: 445 (million)
% 15.03/2.69 % (504578)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=2105247652:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2981 on theBenchmark for (2981ds/693Mi)
% 15.03/2.69 % (504530)Instruction limit reached!
% 15.03/2.69 % (504530)------------------------------
% 15.03/2.69 % (504530)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.03/2.69 % (504530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.03/2.69 % (504530)CaDiCaL version: 2.1.3
% 15.03/2.69 % (504530)Termination reason: Instruction limit
% 15.03/2.69 % (504530)Termination phase: Saturation
% 15.03/2.69 % (504530)Time elapsed: 0.413 s
% 15.03/2.69 % (504530)Peak memory usage: 13 MB
% 15.03/2.69 % (504530)Instructions burned: 764 (million)
% 15.03/2.69 % (504580)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=3384189498:i=285:hud=10:bd=all:rtra=on:ss=axioms_2980 on theBenchmark for (2980ds/285Mi)
% 15.03/2.69 % (504580)Refutation not found, incomplete strategy
% 15.03/2.69 % (504580)------------------------------
% 15.03/2.69 % (504580)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.03/2.69 % (504580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.03/2.69 % (504580)CaDiCaL version: 2.1.3
% 15.03/2.69 % (504580)Termination reason: Refutation not found, incomplete strategy
% 15.03/2.69 % (504580)Time elapsed: 0.001 s
% 15.03/2.69 % (504580)Peak memory usage: 11 MB
% 15.03/2.69 % (504580)Instructions burned: 1 (million)
% 15.03/2.69 % (504580)------------------------------
% 15.03/2.69 % (504580)------------------------------
% 15.03/2.69 % (504582)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 15.03/2.69 % (504582)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=864569690:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2980 on theBenchmark for (2980ds/52Mi)
% 15.03/2.69 % (504566)Instruction limit reached!
% 15.03/2.69 % (504566)------------------------------
% 15.03/2.69 % (504566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.03/2.69 % (504566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.03/2.69 % (504566)CaDiCaL version: 2.1.3
% 15.03/2.69 % (504566)Termination reason: Instruction limit
% 15.03/2.69 % (504566)Termination phase: Saturation
% 15.03/2.69 % (504566)Time elapsed: 0.210 s
% 15.03/2.69 % (504566)Peak memory usage: 13 MB
% 15.03/2.69 % (504566)Instructions burned: 494 (million)
% 15.03/2.69 % (504582)Instruction limit reached!
% 15.03/2.69 % (504582)------------------------------
% 16.27/2.96 % (504582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.27/2.96 % (504582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.27/2.96 % (504582)CaDiCaL version: 2.1.3
% 16.27/2.96 % (504582)Termination reason: Instruction limit
% 16.27/2.96 % (504582)Termination phase: Saturation
% 16.27/2.96 % (504582)Time elapsed: 0.025 s
% 16.27/2.96 % (504582)Peak memory usage: 12 MB
% 16.27/2.96 % (504582)Instructions burned: 54 (million)
% 16.27/2.96 % (504584)dis+10_1_si=on:random_seed=3143174451:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2979 on theBenchmark for (2979ds/407Mi)
% 16.27/2.96 % (504584)Refutation not found, incomplete strategy
% 16.27/2.96 % (504584)------------------------------
% 16.27/2.96 % (504584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.27/2.96 % (504584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.27/2.96 % (504584)CaDiCaL version: 2.1.3
% 16.27/2.96 % (504584)Termination reason: Refutation not found, incomplete strategy
% 16.27/2.96 % (504584)Time elapsed: 0.001 s
% 16.27/2.96 % (504584)Peak memory usage: 11 MB
% 16.27/2.96 % (504584)------------------------------
% 16.27/2.96 % (504584)------------------------------
% 16.27/2.96 % (504585)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=2760543435:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2979 on theBenchmark for (2979ds/2240Mi)
% 16.27/2.96 % (504587)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=3948213047:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2979 on theBenchmark for (2979ds/336Mi)
% 16.27/2.96 % (504587)Refutation not found, incomplete strategy
% 16.27/2.96 % (504587)------------------------------
% 16.27/2.96 % (504587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.27/2.96 % (504587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.27/2.96 % (504587)CaDiCaL version: 2.1.3
% 16.27/2.96 % (504587)Termination reason: Refutation not found, incomplete strategy
% 16.27/2.96 % (504587)Time elapsed: 0.001 s
% 16.27/2.96 % (504587)Peak memory usage: 11 MB
% 16.27/2.96 % (504587)------------------------------
% 16.27/2.96 % (504587)------------------------------
% 16.27/2.96 % (504576)Instruction limit reached!
% 16.27/2.96 % (504576)------------------------------
% 16.27/2.96 % (504576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.27/2.96 % (504576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.27/2.96 % (504576)CaDiCaL version: 2.1.3
% 16.27/2.96 % (504576)Termination reason: Instruction limit
% 16.27/2.96 % (504576)Termination phase: Saturation
% 16.27/2.96 % (504576)Time elapsed: 0.204 s
% 16.27/2.96 % (504576)Peak memory usage: 13 MB
% 16.27/2.96 % (504576)Instructions burned: 862 (million)
% 16.27/2.96 % (504591)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=3098836884:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2979 on theBenchmark for (2979ds/376Mi)
% 16.27/2.96 % (504591)Refutation not found, incomplete strategy
% 16.27/2.96 % (504591)------------------------------
% 16.27/2.96 % (504591)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.27/2.96 % (504591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.27/2.96 % (504591)CaDiCaL version: 2.1.3
% 16.27/2.96 % (504591)Termination reason: Refutation not found, incomplete strategy
% 16.27/2.96 % (504591)Time elapsed: 0.0000 s
% 16.27/2.96 % (504591)Peak memory usage: 11 MB
% 16.27/2.96 % (504591)------------------------------
% 16.27/2.96 % (504591)------------------------------
% 16.27/2.96 % (504590)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=514793364:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2979 on theBenchmark for (2979ds/1142Mi)
% 16.27/2.96 % (504593)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=2211433970:i=766:bd=all:rtra=on_2979 on theBenchmark for (2979ds/766Mi)
% 16.27/2.96 % (504593)Refutation not found, incomplete strategy
% 16.27/2.96 % (504593)------------------------------
% 16.27/2.96 % (504593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.27/2.96 % (504593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.27/2.96 % (504593)CaDiCaL version: 2.1.3
% 16.27/2.96 % (504593)Termination reason: Refutation not found, incomplete strategy
% 16.27/2.96 % (504593)Time elapsed: 0.001 s
% 16.27/2.96 % (504593)Peak memory usage: 12 MB
% 20.14/3.18 % (504593)Instructions burned: 1 (million)
% 20.14/3.18 % (504593)------------------------------
% 20.14/3.18 % (504593)------------------------------
% 20.14/3.18 % (504571)Instruction limit reached!
% 20.14/3.18 % (504571)------------------------------
% 20.14/3.18 % (504571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.14/3.18 % (504571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.14/3.18 % (504571)CaDiCaL version: 2.1.3
% 20.14/3.18 % (504571)Termination reason: Instruction limit
% 20.14/3.18 % (504571)Termination phase: Saturation
% 20.14/3.18 % (504571)Time elapsed: 0.265 s
% 20.14/3.18 % (504571)Peak memory usage: 12 MB
% 20.14/3.18 % (504571)Instructions burned: 672 (million)
% 20.14/3.18 % (504597)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=1350170146:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2978 on theBenchmark for (2978ds/6359Mi)
% 20.14/3.18 % (504596)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 20.14/3.18 % (504596)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=768434503: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_2979 on theBenchmark for (2979ds/959Mi)
% 20.14/3.18 % (504596)Refutation not found, incomplete strategy
% 20.14/3.18 % (504596)------------------------------
% 20.14/3.18 % (504596)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.14/3.18 % (504596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.14/3.18 % (504596)CaDiCaL version: 2.1.3
% 20.14/3.18 % (504596)Termination reason: Refutation not found, incomplete strategy
% 20.14/3.18 % (504596)Time elapsed: 0.0000 s
% 20.14/3.18 % (504596)Peak memory usage: 11 MB
% 20.14/3.18 % (504596)------------------------------
% 20.14/3.18 % (504596)------------------------------
% 20.14/3.18 % (504600)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=998616948:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2978 on theBenchmark for (2978ds/35Mi)
% 20.14/3.18 % (504600)Refutation not found, incomplete strategy
% 20.14/3.18 % (504600)------------------------------
% 20.14/3.18 % (504600)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.14/3.18 % (504600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.14/3.18 % (504600)CaDiCaL version: 2.1.3
% 20.14/3.18 % (504600)Termination reason: Refutation not found, incomplete strategy
% 20.14/3.18 % (504600)Time elapsed: 0.001 s
% 20.14/3.18 % (504600)Peak memory usage: 11 MB
% 20.14/3.18 % (504600)------------------------------
% 20.14/3.18 % (504600)------------------------------
% 20.14/3.18 % (504602)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=4108958057:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2978 on theBenchmark for (2978ds/53Mi)
% 20.14/3.18 % (504602)Instruction limit reached!
% 20.14/3.18 % (504602)------------------------------
% 20.14/3.18 % (504602)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.14/3.18 % (504602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.14/3.18 % (504602)CaDiCaL version: 2.1.3
% 20.14/3.18 % (504602)Termination reason: Instruction limit
% 20.14/3.18 % (504602)Termination phase: Saturation
% 20.14/3.18 % (504602)Time elapsed: 0.029 s
% 20.14/3.18 % (504602)Peak memory usage: 12 MB
% 20.14/3.18 % (504602)Instructions burned: 53 (million)
% 20.14/3.18 % (504604)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=4169432329:s2a=on:i=876:s2at=6:nm=2:rtra=on_2978 on theBenchmark for (2978ds/876Mi)
% 20.14/3.18 % (504578)Instruction limit reached!
% 20.14/3.18 % (504578)------------------------------
% 20.14/3.18 % (504578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.14/3.18 % (504578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.14/3.18 % (504578)CaDiCaL version: 2.1.3
% 20.14/3.18 % (504578)Termination reason: Instruction limit
% 20.14/3.18 % (504578)Termination phase: Saturation
% 20.14/3.18 % (504578)Time elapsed: 0.488 s
% 20.14/3.18 % (504578)Peak memory usage: 12 MB
% 20.14/3.18 % (504578)Instructions burned: 693 (million)
% 20.14/3.18 % (504606)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2009029509:i=57:ep=R:rtra=on:ntd=on_2976 on theBenchmark for (2976ds/57Mi)
% 21.15/3.31 % (504606)Instruction limit reached!
% 21.15/3.31 % (504606)------------------------------
% 21.15/3.31 % (504606)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.15/3.31 % (504606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.15/3.31 % (504606)CaDiCaL version: 2.1.3
% 21.15/3.31 % (504606)Termination reason: Instruction limit
% 21.15/3.31 % (504606)Termination phase: Saturation
% 21.15/3.31 % (504606)Time elapsed: 0.029 s
% 21.15/3.31 % (504606)Peak memory usage: 12 MB
% 21.15/3.31 % (504606)Instructions burned: 57 (million)
% 21.15/3.31 % (504608)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 21.15/3.31 % (504608)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=1224065242:i=306:bd=all:rtra=on_2975 on theBenchmark for (2975ds/306Mi)
% 21.15/3.31 % (504608)Refutation not found, incomplete strategy
% 21.15/3.31 % (504608)------------------------------
% 21.15/3.31 % (504608)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.15/3.31 % (504608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.15/3.31 % (504608)CaDiCaL version: 2.1.3
% 21.15/3.31 % (504608)Termination reason: Refutation not found, incomplete strategy
% 21.15/3.31 % (504608)Time elapsed: 0.002 s
% 21.15/3.31 % (504608)Peak memory usage: 11 MB
% 21.15/3.31 % (504608)Instructions burned: 1 (million)
% 21.15/3.31 % (504608)------------------------------
% 21.15/3.31 % (504608)------------------------------
% 21.15/3.31 % (504610)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=1867197397:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/262Mi)
% 21.15/3.31 % (504610)Refutation not found, incomplete strategy
% 21.15/3.31 % (504610)------------------------------
% 21.15/3.31 % (504610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.15/3.31 % (504610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.15/3.31 % (504610)CaDiCaL version: 2.1.3
% 21.15/3.31 % (504610)Termination reason: Refutation not found, incomplete strategy
% 21.15/3.31 % (504610)Time elapsed: 0.001 s
% 21.15/3.31 % (504610)Peak memory usage: 12 MB
% 21.15/3.31 % (504610)------------------------------
% 21.15/3.31 % (504610)------------------------------
% 21.15/3.31 % (504612)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 21.15/3.31 % (504612)ott+1002_16_sil=128000:si=on:random_seed=1833205687:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2974 on theBenchmark for (2974ds/409Mi)
% 21.15/3.31 % (504507)Instruction limit reached!
% 21.15/3.31 % (504507)------------------------------
% 21.15/3.31 % (504507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.15/3.31 % (504507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.15/3.31 % (504507)CaDiCaL version: 2.1.3
% 21.15/3.31 % (504507)Termination reason: Instruction limit
% 21.15/3.31 % (504507)Termination phase: Saturation
% 21.15/3.31 % (504507)Time elapsed: 1.331 s
% 21.15/3.31 % (504507)Peak memory usage: 16 MB
% 21.15/3.31 % (504507)Instructions burned: 2471 (million)
% 21.15/3.31 % (504614)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=2904596533:s2a=on:i=381:rtra=on_2973 on theBenchmark for (2973ds/381Mi)
% 21.15/3.31 % (504604)Instruction limit reached!
% 21.15/3.31 % (504604)------------------------------
% 21.15/3.31 % (504604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.15/3.31 % (504604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.15/3.31 % (504604)CaDiCaL version: 2.1.3
% 21.15/3.31 % (504604)Termination reason: Instruction limit
% 21.15/3.31 % (504604)Termination phase: Saturation
% 21.15/3.31 % (504604)Time elapsed: 0.430 s
% 21.15/3.31 % (504604)Peak memory usage: 13 MB
% 21.15/3.31 % (504604)Instructions burned: 876 (million)
% 21.15/3.31 % (504623)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2431865746:cond=on:i=324:rtra=on:ntd=on_2973 on theBenchmark for (2973ds/324Mi)
% 21.15/3.31 % (504612)Instruction limit reached!
% 21.15/3.31 % (504612)------------------------------
% 21.15/3.31 % (504612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.15/3.31 % (504612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.15/3.31 % (504612)CaDiCaL version: 2.1.3
% 21.15/3.32 % (504612)Termination reason: Instruction limit
% 21.15/3.32 % (504612)Termination phase: Saturation
% 21.15/3.32 % (504612)Time elapsed: 0.162 s
% 21.15/3.32 % (504612)Peak memory usage: 13 MB
% 21.15/3.32 % (504612)Instructions burned: 409 (million)
% 21.15/3.32 % (504625)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=3131569141:i=240:kws=inv_precedence:rtra=on_2973 on theBenchmark for (2973ds/240Mi)
% 21.15/3.32 % (504625)Refutation not found, incomplete strategy
% 21.15/3.32 % (504625)------------------------------
% 21.15/3.32 % (504625)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.15/3.32 % (504625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.15/3.32 % (504625)CaDiCaL version: 2.1.3
% 21.15/3.32 % (504625)Termination reason: Refutation not found, incomplete strategy
% 21.15/3.32 % (504625)Time elapsed: 0.001 s
% 21.15/3.32 % (504625)Peak memory usage: 11 MB
% 21.15/3.32 % (504625)Instructions burned: 1 (million)
% 21.15/3.32 % (504625)------------------------------
% 21.15/3.32 % (504625)------------------------------
% 21.15/3.32 % (504627)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 21.15/3.32 % (504627)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=258866489:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2972 on theBenchmark for (2972ds/124Mi)
% 21.15/3.32 % (504627)Instruction limit reached!
% 21.15/3.32 % (504627)------------------------------
% 21.15/3.32 % (504627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.15/3.32 % (504627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.15/3.32 % (504627)CaDiCaL version: 2.1.3
% 21.15/3.32 % (504627)Termination reason: Instruction limit
% 21.15/3.32 % (504627)Termination phase: Saturation
% 21.15/3.32 % (504627)Time elapsed: 0.088 s
% 21.15/3.32 % (504627)Peak memory usage: 12 MB
% 21.15/3.32 % (504627)Instructions burned: 125 (million)
% 21.15/3.32 % (504614)Instruction limit reached!
% 21.15/3.32 % (504614)------------------------------
% 21.15/3.32 % (504614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.15/3.32 % (504614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.15/3.32 % (504614)CaDiCaL version: 2.1.3
% 21.15/3.32 % (504614)Termination reason: Instruction limit
% 21.15/3.32 % (504614)Termination phase: Saturation
% 21.15/3.32 % (504614)Time elapsed: 0.201 s
% 21.15/3.32 % (504614)Peak memory usage: 12 MB
% 21.15/3.32 % (504614)Instructions burned: 381 (million)
% 21.15/3.32 % (504630)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=2481794069:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2971 on theBenchmark for (2971ds/223Mi)
% 21.15/3.32 % (504631)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1216176340:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2971 on theBenchmark for (2971ds/282Mi)
% 21.15/3.32 % (504623)Instruction limit reached!
% 21.15/3.32 % (504623)------------------------------
% 21.15/3.32 % (504623)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.15/3.32 % (504623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.15/3.32 % (504623)CaDiCaL version: 2.1.3
% 21.15/3.32 % (504623)Termination reason: Instruction limit
% 21.15/3.32 % (504623)Termination phase: Saturation
% 21.15/3.32 % (504623)Time elapsed: 0.214 s
% 21.15/3.32 % (504623)Peak memory usage: 12 MB
% 21.15/3.32 % (504623)Instructions burned: 325 (million)
% 21.15/3.32 % (504590)Instruction limit reached!
% 21.15/3.32 % (504590)------------------------------
% 21.15/3.32 % (504590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.15/3.32 % (504590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.15/3.32 % (504590)CaDiCaL version: 2.1.3
% 21.15/3.32 % (504590)Termination reason: Instruction limit
% 21.15/3.32 % (504590)Termination phase: Saturation
% 21.15/3.32 % (504590)Time elapsed: 0.820 s
% 21.15/3.32 % (504590)Peak memory usage: 14 MB
% 21.15/3.32 % (504590)Instructions burned: 1143 (million)
% 21.15/3.32 % (504634)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=1550008016:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2971 on theBenchmark for (2971ds/464Mi)
% 21.15/3.32 % (504634)Refutation not found, incomplete strategy
% 21.15/3.32 % (504634)------------------------------
% 21.15/3.32 % (504634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.15/3.32 % (504634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.15/3.32 % (504634)CaDiCaL version: 2.1.3
% 21.15/3.32 % (504634)Termination reason: Refutation not found, incomplete strategy
% 21.15/3.32 % (504634)Time elapsed: 0.005 s
% 21.15/3.32 % (504634)Peak memory usage: 11 MB
% 21.15/3.32 % (504634)Instructions burned: 1 (million)
% 21.15/3.32 % (504634)------------------------------
% 21.15/3.32 % (504634)------------------------------
% 21.15/3.32 % (504635)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=1018272701:i=88:s2at=3:nm=2:rtra=on:rawr=on_2970 on theBenchmark for (2970ds/88Mi)
% 21.15/3.32 % (504637)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=3069309664:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2970 on theBenchmark for (2970ds/280Mi)
% 21.15/3.32 % (504631)Instruction limit reached!
% 21.15/3.32 % (504631)------------------------------
% 21.15/3.32 % (504631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.15/3.32 % (504631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.15/3.32 % (504631)CaDiCaL version: 2.1.3
% 21.15/3.32 % (504631)Termination reason: Instruction limit
% 21.15/3.32 % (504631)Termination phase: Saturation
% 21.15/3.32 % (504631)Time elapsed: 0.129 s
% 21.15/3.32 % (504631)Peak memory usage: 13 MB
% 21.15/3.32 % (504631)Instructions burned: 283 (million)
% 21.15/3.32 % (504635)Instruction limit reached!
% 21.15/3.32 % (504635)------------------------------
% 21.15/3.32 % (504635)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.15/3.32 % (504635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.15/3.32 % (504635)CaDiCaL version: 2.1.3
% 21.15/3.32 % (504635)Termination reason: Instruction limit
% 21.15/3.32 % (504635)Termination phase: Saturation
% 21.15/3.32 % (504635)Time elapsed: 0.041 s
% 21.15/3.32 % (504635)Peak memory usage: 12 MB
% 21.15/3.32 % (504635)Instructions burned: 90 (million)
% 21.15/3.32 % (504630)Instruction limit reached!
% 21.15/3.32 % (504630)------------------------------
% 21.15/3.32 % (504630)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.15/3.32 % (504630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.15/3.33 % (504630)CaDiCaL version: 2.1.3
% 21.15/3.33 % (504630)Termination reason: Instruction limit
% 21.15/3.33 % (504630)Termination phase: Saturation
% 21.15/3.33 % (504630)Time elapsed: 0.142 s
% 21.15/3.33 % (504630)Peak memory usage: 12 MB
% 21.15/3.33 % (504630)Instructions burned: 223 (million)
% 21.15/3.33 % (504640)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 21.15/3.33 % (504640)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=1490145340:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2970 on theBenchmark for (2970ds/4386Mi)
% 21.15/3.33 % (504641)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 21.15/3.33 % (504641)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 21.15/3.33 % (504597) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-504270-504597"...
% 21.15/3.33 % (504641)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=882887686: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)
% 21.15/3.33 % (504641)Refutation not found, incomplete strategy
% 21.15/3.33 % (504641)------------------------------
% 21.15/3.33 % (504641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.15/3.33 % (504641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.15/3.33 % (504641)CaDiCaL version: 2.1.3
% 21.15/3.33 % (504641)Termination reason: Refutation not found, incomplete strategy
% 21.15/3.33 % (504641)Time elapsed: 0.001 s
% 21.15/3.33 % (504641)Peak memory usage: 12 MB
% 21.15/3.33 % (504641)------------------------------
% 21.15/3.33 % (504641)------------------------------
% 21.15/3.33 % (504642)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=1641193294:i=73:rtra=on_2970 on theBenchmark for (2970ds/73Mi)
% 21.15/3.33 % (504642)Refutation not found, incomplete strategy
% 21.15/3.33 % (504642)------------------------------
% 21.15/3.33 % (504642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.15/3.33 % (504642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.15/3.33 % (504642)CaDiCaL version: 2.1.3
% 21.15/3.33 % (504642)Termination reason: Refutation not found, incomplete strategy
% 21.15/3.33 % (504642)Time elapsed: 0.002 s
% 21.15/3.33 % (504642)Peak memory usage: 11 MB
% 21.15/3.33 % (504642)Instructions burned: 1 (million)
% 21.15/3.33 % (504642)------------------------------
% 21.15/3.33 % (504642)------------------------------
% 21.15/3.33 % (504645)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=454188510:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2969 on theBenchmark for (2969ds/176Mi)
% 21.15/3.33 % (504597)...printing done.
% 21.15/3.33 % (504597)Refutation found. Thanks to Tanya!
% 21.15/3.33 % SZS status Unsatisfiable for theBenchmark
% 21.15/3.33 % SZS output start Proof for theBenchmark
% See solution above
% 21.15/3.35 % (504597)------------------------------
% 21.15/3.35 % (504597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.15/3.35 % (504597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.15/3.35 % (504597)CaDiCaL version: 2.1.3
% 21.15/3.35 % (504597)Termination reason: Refutation
% 21.15/3.35 % (504597)Time elapsed: 0.936 s
% 21.15/3.35 % (504597)Peak memory usage: 20 MB
% 21.15/3.35 % (504597)Instructions burned: 2865 (million)
% 21.15/3.35 % (504270)Success in time 3.056 s
% 21.15/3.35 % Vampire exiting
%------------------------------------------------------------------------------