%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA164^1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 08:01:44 AM UTC 2026
% Result : Unsatisfiable 83.20s 12.21s
% Output : Refutation 83.20s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
s: $i > $i ).
thf(func_def_2,type,
r: $i > $i > $o ).
thf(func_def_3,type,
b: $i > $i > $o ).
thf(f1,axiom,
! [X0: $i] :
( ( s @ X0 )
!= z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',snz) ).
thf(f2,axiom,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sinj) ).
thf(f3,axiom,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ri) ).
thf(f4,axiom,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bi) ).
thf(f5,axiom,
! [X1: $i,X0: $i] :
( ( r @ X0 @ X1 )
| ( X0 = X1 )
| ( b @ X0 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rb) ).
thf(f6,axiom,
! [X2: $i,X1: $i,X0: $i] :
( ~ ( r @ X0 @ X1 )
| ~ ( r @ X1 @ X2 )
| ~ ( r @ X0 @ X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axr) ).
thf(f7,axiom,
! [X0: $i,X2: $i,X1: $i,X3: $i] :
( ~ ( b @ X0 @ X2 )
| ~ ( b @ X0 @ X3 )
| ~ ( b @ X2 @ X3 )
| ~ ( b @ X1 @ X2 )
| ~ ( b @ X0 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axb) ).
thf(f8,plain,
! [X0: $i,X1: $i] :
( ( r @ X1 @ X0 )
| ( X0 = X1 )
| ( b @ X1 @ X0 ) ),
inference(rectify,[],[f5]) ).
thf(f9,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ X0 ) )
| ( $true
= ( b @ X1 @ X0 ) )
| ( X0 = X1 ) ),
inference(fool_elimination,[],[f8]) ).
thf(f10,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r @ X2 @ X1 )
| ~ ( r @ X1 @ X0 )
| ~ ( r @ X2 @ X0 ) ),
inference(rectify,[],[f6]) ).
thf(f11,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( $true
!= ( r @ X2 @ X1 ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X2 @ X0 ) ) ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
inference(rectify,[],[f3]) ).
thf(f13,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f12]) ).
thf(f14,plain,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
inference(rectify,[],[f4]) ).
thf(f15,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f14]) ).
thf(f16,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( b @ X0 @ X1 )
| ~ ( b @ X0 @ X3 )
| ~ ( b @ X1 @ X3 )
| ~ ( b @ X2 @ X1 )
| ~ ( b @ X0 @ X2 ) ),
inference(rectify,[],[f7]) ).
thf(f17,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ X3 )
!= $true )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X2 )
!= $true ) ),
inference(fool_elimination,[],[f16]) ).
thf(f18,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( $true
!= ( r @ X2 @ X1 ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X2 @ X0 ) ) ),
inference(flattening,[],[f11]) ).
thf(f19,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f13]) ).
thf(f20,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f15]) ).
thf(f21,plain,
! [X0: $i,X3: $i,X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X0 @ X3 )
!= $true )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( ( b @ X0 @ X1 )
!= $true ) ),
inference(flattening,[],[f17]) ).
thf(f22,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X3 @ X1 )
!= $true )
| ( ( b @ X0 @ X3 )
!= $true ) ),
inference(rectify,[],[f21]) ).
thf(f23,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f19]) ).
thf(f24,plain,
! [X0: $i] :
( ( s @ X0 )
!= z ),
inference(cnf_transformation,[],[f1]) ).
thf(f25,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ X1 ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X2 @ X0 ) ) ),
inference(cnf_transformation,[],[f18]) ).
thf(f26,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ X1 @ X0 ) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f27,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f20]) ).
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] :
( ( ( b @ X3 @ X1 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X0 @ X3 )
!= $true ) ),
inference(cnf_transformation,[],[f22]) ).
thf(f32,plain,
! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ X0 ) ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) ),
inference(extensionality_resolution,[],[f26,f24]) ).
thf(f33,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ),
inference(extensionality_resolution,[],[f26,f24]) ).
thf(f34,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) ) ),
inference(extensionality_resolution,[],[f26,f28]) ).
thf(f37,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X3 @ X0 ) )
| ( X0 = X1 )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( r @ X0 @ X1 )
= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) ),
inference(constrained_superposition,[],[f29,f26]) ).
thf(f38,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ X0 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 ) ),
inference(trivial_inequality_removal,[],[f37]) ).
thf(f39,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) ) ),
inference(constrained_superposition,[],[f29,f32]) ).
thf(f40,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ X1 @ z ) ) ),
inference(trivial_inequality_removal,[],[f39]) ).
thf(f46,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ X0 ) ) )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) ) ),
inference(constrained_superposition,[],[f29,f33]) ).
thf(f47,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ X0 ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ X1 @ z ) ) ),
inference(trivial_inequality_removal,[],[f46]) ).
thf(f49,plain,
! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ),
inference(constrained_superposition,[],[f47,f32]) ).
thf(f51,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) ),
inference(duplicate_literal_removal,[],[f49]) ).
thf(f52,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f51]) ).
thf(f53,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) ) )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f34,f28]) ).
thf(f55,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ),
inference(extensionality_resolution,[],[f34,f24]) ).
thf(f56,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f34,f24]) ).
thf(f63,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true ) ),
inference(constrained_superposition,[],[f47,f55]) ).
thf(f64,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true ) ),
inference(constrained_superposition,[],[f40,f55]) ).
thf(f65,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f29,f55]) ).
thf(f66,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f65]) ).
thf(f67,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ),
inference(trivial_inequality_removal,[],[f64]) ).
thf(f68,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ),
inference(trivial_inequality_removal,[],[f63]) ).
thf(f70,definition,
( spl0_1
<=> ( $true
= ( r @ z @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
thf(f71,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f70]) ).
thf(f73,definition,
( spl0_2
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
thf(f74,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f73]) ).
thf(f75,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f67,f73,f70]) ).
thf(f77,definition,
( spl0_3
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
thf(f78,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f77]) ).
thf(f80,definition,
( spl0_4
<=> ( ( r @ ( s @ z ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
thf(f81,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f80]) ).
thf(f82,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f68,f80,f77]) ).
thf(f89,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f74,f33]) ).
thf(f91,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f89]) ).
thf(f104,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f29,f56]) ).
thf(f107,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ X2 @ ( s @ z ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f104]) ).
thf(f112,definition,
( spl0_5
<=> ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
thf(f113,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f112]) ).
thf(f115,definition,
( spl0_6
<=> ( $true
= ( b @ ( s @ z ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
thf(f116,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| spl0_6 ),
inference(avatar_component_clause,[],[f115]) ).
thf(f121,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true != $true )
| spl0_6 ),
inference(constrained_superposition,[],[f116,f33]) ).
thf(f123,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| spl0_6 ),
inference(trivial_inequality_removal,[],[f121]) ).
thf(f125,plain,
( spl0_4
| spl0_6 ),
inference(avatar_split_clause,[],[f123,f115,f80]) ).
thf(f128,plain,
! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f107,f32]) ).
thf(f133,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f128]) ).
thf(f137,definition,
( spl0_8
<=> ( ( b @ z @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
thf(f138,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| spl0_8 ),
inference(avatar_component_clause,[],[f137]) ).
thf(f140,definition,
( spl0_9
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
thf(f141,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f140]) ).
thf(f142,plain,
( spl0_5
| ~ spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f133,f140,f137,f112]) ).
thf(f143,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_5 ),
inference(constrained_superposition,[],[f25,f113]) ).
thf(f144,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f143]) ).
thf(f145,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) ) )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f53,f28]) ).
thf(f147,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f53,f24]) ).
thf(f148,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
inference(extensionality_resolution,[],[f53,f24]) ).
thf(f161,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ X0 @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( s @ X1 )
= X0 )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ X1 ) ) ) ),
inference(constrained_superposition,[],[f52,f26]) ).
thf(f163,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( X0 = X1 )
| ( $true
= ( r @ z @ ( s @ X1 ) ) )
| ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) ) ),
inference(constrained_superposition,[],[f52,f34]) ).
thf(f169,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( X0 = X1 )
| ( $true
= ( r @ z @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) ) ),
inference(trivial_inequality_removal,[],[f163]) ).
thf(f170,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( s @ X1 )
= X0 )
| ( $true
= ( r @ z @ ( s @ X1 ) ) )
| ( $true
= ( r @ X0 @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) ) ),
inference(trivial_inequality_removal,[],[f161]) ).
thf(f175,definition,
( spl0_10
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
thf(f176,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f175]) ).
thf(f189,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f29,f147]) ).
thf(f195,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f189]) ).
thf(f201,definition,
( spl0_12
<=> ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
thf(f202,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f201]) ).
thf(f205,definition,
( spl0_13
<=> ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
thf(f206,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f205]) ).
thf(f212,definition,
( spl0_15
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
thf(f213,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f212]) ).
thf(f222,definition,
( spl0_18
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
thf(f223,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f222]) ).
thf(f233,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_5
| ~ spl0_13 ),
inference(constrained_superposition,[],[f144,f206]) ).
thf(f236,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_5
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f233]) ).
thf(f239,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| spl0_4 ),
inference(avatar_component_clause,[],[f80]) ).
thf(f240,plain,
( ~ spl0_4
| spl0_12
| ~ spl0_5
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f236,f205,f112,f201,f80]) ).
thf(f241,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_15 ),
inference(constrained_superposition,[],[f25,f213]) ).
thf(f242,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f241]) ).
thf(f244,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f25,f223]) ).
thf(f246,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f244]) ).
thf(f251,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_13
| ~ spl0_15 ),
inference(constrained_superposition,[],[f242,f206]) ).
thf(f253,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_13
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f251]) ).
thf(f255,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f176,f33]) ).
thf(f258,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f255]) ).
thf(f279,definition,
( spl0_22
<=> ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
thf(f280,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| spl0_22 ),
inference(avatar_component_clause,[],[f279]) ).
thf(f283,definition,
( spl0_23
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
thf(f284,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_23 ),
inference(avatar_component_clause,[],[f283]) ).
thf(f289,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_22 ),
inference(constrained_superposition,[],[f280,f32]) ).
thf(f292,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_22 ),
inference(trivial_inequality_removal,[],[f289]) ).
thf(f294,plain,
( spl0_12
| spl0_22 ),
inference(avatar_split_clause,[],[f292,f279,f201]) ).
thf(f297,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_23 ),
inference(constrained_superposition,[],[f284,f56]) ).
thf(f302,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_23 ),
inference(trivial_inequality_removal,[],[f297]) ).
thf(f306,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f25,f258]) ).
thf(f308,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f306]) ).
thf(f317,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) ),
inference(constrained_superposition,[],[f107,f148]) ).
thf(f322,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) ) ),
inference(constrained_superposition,[],[f40,f148]) ).
thf(f323,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) ),
inference(constrained_superposition,[],[f29,f148]) ).
thf(f324,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f317]) ).
thf(f329,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ z ) ) ),
inference(trivial_inequality_removal,[],[f322]) ).
thf(f330,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f323]) ).
thf(f333,definition,
( spl0_25
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
thf(f334,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f333]) ).
thf(f336,definition,
( spl0_26
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
thf(f337,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f336]) ).
thf(f339,definition,
( spl0_27
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
thf(f340,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| spl0_27 ),
inference(avatar_component_clause,[],[f339]) ).
thf(f341,plain,
( spl0_25
| spl0_26
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f324,f339,f336,f333]) ).
thf(f343,definition,
( spl0_28
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
thf(f344,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| spl0_28 ),
inference(avatar_component_clause,[],[f343]) ).
thf(f354,definition,
( spl0_31
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
thf(f355,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f354]) ).
thf(f357,definition,
( spl0_32
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
thf(f358,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f357]) ).
thf(f359,plain,
( spl0_31
| spl0_32
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f329,f343,f357,f354]) ).
thf(f360,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true != $true )
| spl0_28 ),
inference(constrained_superposition,[],[f344,f33]) ).
thf(f363,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| spl0_28 ),
inference(trivial_inequality_removal,[],[f360]) ).
thf(f364,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| spl0_27 ),
inference(constrained_superposition,[],[f340,f55]) ).
thf(f366,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| spl0_27 ),
inference(constrained_superposition,[],[f340,f26]) ).
thf(f368,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| spl0_27 ),
inference(trivial_inequality_removal,[],[f364]) ).
thf(f369,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| spl0_27 ),
inference(trivial_inequality_removal,[],[f366]) ).
thf(f371,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ X1 ) ) ),
inference(constrained_superposition,[],[f330,f32]) ).
thf(f375,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
inference(constrained_superposition,[],[f330,f56]) ).
thf(f378,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f371]) ).
thf(f382,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) ),
inference(trivial_inequality_removal,[],[f375]) ).
thf(f387,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X3 )
!= $true )
| ( X1 = X3 )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( r @ X0 @ X1 )
= $true )
| ( $true != $true )
| ( X0 = X1 )
| ( $true
= ( r @ X1 @ X3 ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ),
inference(constrained_superposition,[],[f38,f26]) ).
thf(f389,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ X2 ) )
| ( z = X2 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ),
inference(constrained_superposition,[],[f38,f33]) ).
thf(f396,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( z = X2 )
| ( $true
= ( r @ z @ X2 ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f389]) ).
thf(f401,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( X0 = X1 )
| ( X1 = X3 )
| ( $true
= ( r @ X1 @ X3 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( r @ X0 @ X1 )
= $true ) ),
inference(trivial_inequality_removal,[],[f387]) ).
thf(f405,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( X0 = X1 )
| ( $true
= ( r @ X2 @ X1 ) )
| ( ( r @ X0 @ X1 )
= $true )
| ( X1 = X3 )
| ( $true
= ( r @ X1 @ X3 ) )
| ( ( b @ X0 @ X3 )
!= $true )
| ( X1 = X2 ) ),
inference(constrained_superposition,[],[f401,f26]) ).
thf(f418,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X3 )
!= $true )
| ( $true
= ( r @ X1 @ X3 ) )
| ( ( b @ X0 @ X2 )
!= $true )
| ( X0 = X1 )
| ( $true
= ( r @ X2 @ X1 ) )
| ( X1 = X2 )
| ( X1 = X3 )
| ( ( r @ X0 @ X1 )
= $true ) ),
inference(trivial_inequality_removal,[],[f405]) ).
thf(f423,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X1 )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ X0 @ ( s @ X1 ) ) )
| ( z = X0 )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f170,f26]) ).
thf(f425,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ X0 @ ( s @ X1 ) ) )
| ( ( s @ X1 )
= X0 )
| ( $true
= ( r @ z @ ( s @ X1 ) ) )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 ) ),
inference(trivial_inequality_removal,[],[f423]) ).
thf(f427,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ X3 @ X2 ) )
| ( X0 = X1 )
| ( $true != $true )
| ( X2 = X3 )
| ( X0 = X2 )
| ( X1 = X2 )
| ( $true
= ( r @ X2 @ X1 ) )
| ( ( r @ X0 @ X2 )
= $true )
| ( ( b @ X0 @ X3 )
!= $true )
| ( ( r @ X0 @ X1 )
= $true ) ),
inference(constrained_superposition,[],[f418,f26]) ).
thf(f441,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X3 )
!= $true )
| ( $true
= ( r @ X3 @ X2 ) )
| ( X1 = X2 )
| ( ( r @ X0 @ X2 )
= $true )
| ( X2 = X3 )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( X0 = X2 )
| ( $true
= ( r @ X2 @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f427]) ).
thf(f449,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ X2 @ ( s @ X0 ) ) )
| ( $true != $true )
| ( z = X2 )
| ( $true
!= ( r @ z @ X1 ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ X2 @ z )
= $true )
| ( ( s @ X0 )
= X2 )
| ( $true
!= ( r @ ( s @ X0 ) @ X1 ) ) ),
inference(constrained_superposition,[],[f25,f425]) ).
thf(f455,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( z = X2 )
| ( $true
!= ( r @ z @ X1 ) )
| ( ( r @ X2 @ z )
= $true )
| ( ( s @ X0 )
= X2 )
| ( $true
= ( r @ X2 @ ( s @ X0 ) ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f449]) ).
thf(f458,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( ( s @ X0 )
= X2 )
| ( $true
= ( r @ X2 @ ( s @ X0 ) ) )
| ( $true
!= ( r @ z @ X1 ) )
| ( ( r @ X2 @ z )
= $true )
| ( z = X2 ) ),
inference(forward_subsumption_resolution,[],[f455,f25]) ).
thf(f488,plain,
! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) ) ),
inference(extensionality_resolution,[],[f169,f24]) ).
thf(f492,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( X0 = X1 )
| ( $true
= ( r @ z @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) ) ),
inference(constrained_superposition,[],[f169,f33]) ).
thf(f495,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( X0 = X1 )
| ( $true
= ( r @ z @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) ) ),
inference(trivial_inequality_removal,[],[f492]) ).
thf(f497,plain,
! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ),
inference(extensionality_resolution,[],[f495,f24]) ).
thf(f498,plain,
! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f495,f24]) ).
thf(f529,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( z = X1 )
| ( $true
= ( r @ z @ X1 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) ) ),
inference(constrained_superposition,[],[f396,f56]) ).
thf(f531,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ X1 ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( z = X1 ) ),
inference(trivial_inequality_removal,[],[f529]) ).
thf(f539,definition,
( spl0_33
<=> ! [X1: $i] :
( ( $true
= ( r @ z @ X1 ) )
| ( z = X1 )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
thf(f540,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( z = X1 )
| ( $true
= ( r @ z @ X1 ) ) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f539]) ).
thf(f542,definition,
( spl0_34
<=> ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
thf(f543,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f542]) ).
thf(f544,plain,
( spl0_33
| ~ spl0_6
| spl0_34 ),
inference(avatar_split_clause,[],[f531,f542,f115,f539]) ).
thf(f550,plain,
( ~ spl0_4
| ~ spl0_13
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f253,f212,f205,f80]) ).
thf(f552,definition,
( spl0_36
<=> ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
thf(f553,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f552]) ).
thf(f555,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| spl0_1 ),
inference(avatar_component_clause,[],[f70]) ).
thf(f560,plain,
( spl0_36
| spl0_4 ),
inference(avatar_split_clause,[],[f498,f80,f552]) ).
thf(f563,definition,
( spl0_38
<=> ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
thf(f564,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f563]) ).
thf(f575,plain,
( spl0_13
| spl0_28 ),
inference(avatar_split_clause,[],[f363,f343,f205]) ).
thf(f577,definition,
( spl0_41
<=> ( ( s @ ( s @ z ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
thf(f578,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f577]) ).
thf(f581,plain,
( spl0_15
| spl0_23 ),
inference(avatar_split_clause,[],[f302,f283,f212]) ).
thf(f583,definition,
( spl0_42
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
thf(f584,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f583]) ).
thf(f585,plain,
( spl0_42
| spl0_25
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f382,f283,f333,f583]) ).
thf(f594,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| spl0_8 ),
inference(constrained_superposition,[],[f138,f32]) ).
thf(f596,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| spl0_8 ),
inference(trivial_inequality_removal,[],[f594]) ).
thf(f598,plain,
( spl0_1
| spl0_8 ),
inference(avatar_split_clause,[],[f596,f137,f70]) ).
thf(f606,definition,
( spl0_43
<=> ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
thf(f607,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f606]) ).
thf(f612,definition,
( spl0_44
<=> ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
thf(f613,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f612]) ).
thf(f616,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f25,f81]) ).
thf(f618,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f616]) ).
thf(f631,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f141,f26]) ).
thf(f633,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ X0 ) ) )
| ( z = X0 ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f141,f34]) ).
thf(f634,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f141,f55]) ).
thf(f635,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ X0 ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f633]) ).
thf(f637,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f634]) ).
thf(f638,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f631]) ).
thf(f654,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_13
| ~ spl0_18 ),
inference(constrained_superposition,[],[f246,f206]) ).
thf(f659,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_13
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f654]) ).
thf(f663,plain,
( $false
| ~ spl0_4
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f659,f81]) ).
thf(f664,plain,
( ~ spl0_4
| ~ spl0_13
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f663]) ).
thf(f674,definition,
( spl0_47
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( ( s @ z )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
thf(f675,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f674]) ).
thf(f683,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f637,f32]) ).
thf(f686,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f683]) ).
thf(f701,definition,
( spl0_48
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
thf(f702,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f701]) ).
thf(f724,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true != $true ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f638,f32]) ).
thf(f725,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( ( s @ z )
= X0 )
| ( $true != $true ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f638,f26]) ).
thf(f726,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f725]) ).
thf(f727,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f724]) ).
thf(f747,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f25,f726]) ).
thf(f752,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ z @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( z = X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f747]) ).
thf(f757,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( z = X0 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f635,f32]) ).
thf(f759,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X0 )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f757]) ).
thf(f766,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f25,f759]) ).
thf(f767,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( z = X0 ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f766]) ).
thf(f777,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
= $true )
| ( ( s @ z )
= X1 )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( z = X1 )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
= ( r @ X1 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_34 ),
inference(constrained_superposition,[],[f458,f543]) ).
thf(f779,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X1 )
| ( ( r @ X1 @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( z = X1 )
| ( $true
= ( r @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_34 ),
inference(trivial_inequality_removal,[],[f777]) ).
thf(f785,definition,
( spl0_50
<=> ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
thf(f786,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f785]) ).
thf(f787,plain,
( spl0_44
| spl0_50
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f779,f542,f785,f612]) ).
thf(f789,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_12
| ~ spl0_50 ),
inference(constrained_superposition,[],[f786,f202]) ).
thf(f790,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_12
| ~ spl0_50 ),
inference(trivial_inequality_removal,[],[f789]) ).
thf(f791,plain,
( spl0_13
| ~ spl0_12
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f790,f785,f201,f205]) ).
thf(f793,definition,
( spl0_51
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
thf(f794,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f793]) ).
thf(f795,plain,
( spl0_31
| ~ spl0_22
| spl0_51 ),
inference(avatar_split_clause,[],[f378,f793,f279,f354]) ).
thf(f823,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f25,f686]) ).
thf(f828,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f823]) ).
thf(f858,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_38 ),
inference(constrained_superposition,[],[f25,f564]) ).
thf(f862,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_10
| ~ spl0_38 ),
inference(constrained_superposition,[],[f308,f564]) ).
thf(f865,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ X0 ) ) )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_10
| ~ spl0_38 ),
inference(duplicate_literal_removal,[],[f862]) ).
thf(f866,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_10
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f865]) ).
thf(f869,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ X1 )
!= $true )
| ( z = X0 ) )
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f858]) ).
thf(f871,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_10
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f866,f24]) ).
thf(f874,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_15 ),
inference(avatar_component_clause,[],[f212]) ).
thf(f876,definition,
( spl0_52
<=> ! [X0: $i] :
( ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).
thf(f877,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f876]) ).
thf(f878,plain,
( ~ spl0_15
| spl0_52
| ~ spl0_10
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f871,f563,f175,f876,f212]) ).
thf(f879,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_12 ),
inference(avatar_component_clause,[],[f201]) ).
thf(f898,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f25,f727]) ).
thf(f903,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f898]) ).
thf(f905,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_4
| ~ spl0_9 ),
inference(constrained_superposition,[],[f752,f81]) ).
thf(f910,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_4
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f905]) ).
thf(f915,definition,
( spl0_54
<=> ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
thf(f916,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 ) )
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f915]) ).
thf(f918,plain,
( spl0_54
| ~ spl0_4
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f910,f140,f80,f915]) ).
thf(f919,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
= $true )
| ( z = X1 )
| ( $true
= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= z )
| ( ( s @ X0 )
= X1 )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true != $true ) )
| ~ spl0_54 ),
inference(constrained_superposition,[],[f916,f425]) ).
thf(f920,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= z )
| ( ( s @ X0 )
= X1 )
| ( z = X1 )
| ( ( r @ X1 @ z )
= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ X1 @ ( s @ X0 ) ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_54 ),
inference(duplicate_literal_removal,[],[f919]) ).
thf(f921,plain,
( ! [X0: $i,X1: $i] :
( ( z = X1 )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ X1 @ z )
= $true )
| ( ( s @ X0 )
= X1 )
| ( ( s @ X0 )
= z ) )
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f920]) ).
thf(f922,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ ( s @ X0 ) ) )
| ( z = X1 )
| ( ( s @ X0 )
= X1 )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ X1 @ z )
= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[],[f921,f24]) ).
thf(f923,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 )
| ( $true != $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_4
| ~ spl0_9 ),
inference(constrained_superposition,[],[f767,f81]) ).
thf(f928,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ z ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_4
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f923]) ).
thf(f933,definition,
( spl0_55
<=> ! [X0: $i] :
( ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( z = X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).
thf(f934,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ z ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( z = X0 ) )
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f933]) ).
thf(f936,plain,
( spl0_55
| ~ spl0_4
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f928,f140,f80,f933]) ).
thf(f937,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( z = X1 )
| ( $true != $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= X1 )
| ( $true
= ( r @ X1 @ ( s @ X0 ) ) )
| ( z = X0 ) )
| ~ spl0_55 ),
inference(constrained_superposition,[],[f934,f425]) ).
thf(f938,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( z = X1 )
| ( $true
= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= X1 )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( z = X0 )
| ( ( r @ X1 @ z )
= $true ) )
| ~ spl0_55 ),
inference(duplicate_literal_removal,[],[f937]) ).
thf(f939,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( z = X0 )
| ( ( s @ X0 )
= X1 )
| ( z = X1 )
| ( ( r @ X1 @ z )
= $true ) )
| ~ spl0_55 ),
inference(trivial_inequality_removal,[],[f938]) ).
thf(f940,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_18
| ~ spl0_31 ),
inference(constrained_superposition,[],[f246,f355]) ).
thf(f947,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_18
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f940]) ).
thf(f951,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_4
| ~ spl0_18
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f947,f618]) ).
thf(f954,definition,
( spl0_56
<=> ! [X0: $i] :
( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
thf(f955,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f954]) ).
thf(f957,plain,
( spl0_56
| ~ spl0_4
| ~ spl0_18
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f951,f354,f222,f80,f954]) ).
thf(f976,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_51 ),
inference(constrained_superposition,[],[f794,f56]) ).
thf(f979,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_51 ),
inference(trivial_inequality_removal,[],[f976]) ).
thf(f983,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| spl0_15
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[],[f979,f874]) ).
thf(f984,plain,
( ~ spl0_8
| spl0_15
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f983,f793,f212,f137]) ).
thf(f1067,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| spl0_13 ),
inference(avatar_component_clause,[],[f205]) ).
thf(f1142,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X2 )
!= $true )
| ( $true
= ( r @ z @ ( s @ X1 ) ) )
| ( ( s @ X1 )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ X1 ) @ X2 ) )
| ( z = X1 )
| ( z = X0 ) )
| ~ spl0_55 ),
inference(constrained_superposition,[],[f25,f939]) ).
thf(f1150,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_18
| ~ spl0_55 ),
inference(constrained_superposition,[],[f246,f939]) ).
thf(f1160,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X1 ) @ X2 ) )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X1 )
| ( ( r @ X0 @ X2 )
!= $true )
| ( $true
= ( r @ z @ ( s @ X1 ) ) )
| ( ( s @ X1 )
= X0 ) )
| ~ spl0_55 ),
inference(trivial_inequality_removal,[],[f1142]) ).
thf(f1164,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_18
| ~ spl0_55 ),
inference(trivial_inequality_removal,[],[f1150]) ).
thf(f1170,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( z
= ( s @ ( s @ z ) ) ) )
| spl0_13
| ~ spl0_18
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[],[f1164,f1067]) ).
thf(f1173,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( z = X0 )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ X0 ) ) ) )
| spl0_13
| ~ spl0_18
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[],[f1170,f24]) ).
thf(f1175,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( z = X0 )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_4
| spl0_13
| ~ spl0_18
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[],[f1173,f618]) ).
thf(f1191,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_18
| ~ spl0_38 ),
inference(constrained_superposition,[],[f869,f223]) ).
thf(f1211,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_18
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f1191]) ).
thf(f1220,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ X0 ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_10
| ~ spl0_18
| ~ spl0_38 ),
inference(constrained_superposition,[],[f1211,f258]) ).
thf(f1224,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_10
| ~ spl0_18
| ~ spl0_38 ),
inference(duplicate_literal_removal,[],[f1220]) ).
thf(f1225,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_10
| ~ spl0_18
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f1224]) ).
thf(f1233,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_10
| ~ spl0_18
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f1225,f24]) ).
thf(f1237,plain,
( spl0_52
| ~ spl0_10
| ~ spl0_18
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f1233,f563,f222,f175,f876]) ).
thf(f1476,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_32 ),
inference(constrained_superposition,[],[f358,f26]) ).
thf(f1477,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f1476]) ).
thf(f1589,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_32 ),
inference(constrained_superposition,[],[f1477,f33]) ).
thf(f1591,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f1589]) ).
thf(f1688,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_32 ),
inference(constrained_superposition,[],[f25,f1591]) ).
thf(f1694,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f1688]) ).
thf(f1719,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_25 ),
inference(constrained_superposition,[],[f25,f334]) ).
thf(f1723,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f1719]) ).
thf(f1948,definition,
( spl0_66
<=> ! [X0: $i] :
( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
thf(f1949,plain,
( ! [X0: $i] :
( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f1948]) ).
thf(f2609,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
!= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true ) )
| ~ spl0_4
| ~ spl0_9 ),
inference(constrained_superposition,[],[f903,f81]) ).
thf(f2626,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
!= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_4
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f2609]) ).
thf(f2632,definition,
( spl0_69
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ z ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).
thf(f2633,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ z ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f2632]) ).
thf(f2643,plain,
( spl0_69
| ~ spl0_4
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f2626,f140,f80,f2632]) ).
thf(f2975,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ X1 ) ) )
| ( $true
!= ( r @ ( s @ X1 ) @ X2 ) )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ X1 )
= X0 )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( s @ X1 )
= ( s @ z ) )
| ( z = X0 ) )
| ~ spl0_54 ),
inference(constrained_superposition,[],[f25,f922]) ).
thf(f3054,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X1 ) @ X2 ) )
| ( ( r @ X0 @ X2 )
!= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( s @ X1 )
= X0 )
| ( ( s @ X1 )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ X1 ) ) ) )
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f2975]) ).
thf(f3365,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_18
| ~ spl0_32 ),
inference(constrained_superposition,[],[f1694,f223]) ).
thf(f3381,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_18
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f3365]) ).
thf(f3404,definition,
( spl0_73
<=> ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
thf(f3405,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f3404]) ).
thf(f3409,plain,
( spl0_73
| ~ spl0_18
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f3381,f357,f222,f3404]) ).
thf(f3587,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( z = X0 )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true != $true )
| ( z = X0 )
| ( ( r @ X1 @ z )
= $true )
| ( z = X1 )
| ( ( s @ X0 )
= X1 )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_9
| ~ spl0_55 ),
inference(constrained_superposition,[],[f1160,f759]) ).
thf(f3597,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( z = X1 )
| ( ( r @ X1 @ z )
= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( s @ ( s @ X0 ) )
= X1 )
| ( ( s @ X0 )
= z )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_9
| ~ spl0_55 ),
inference(constrained_superposition,[],[f1160,f686]) ).
thf(f3614,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( z = X0 )
| ( ( r @ X1 @ z )
= $true )
| ( z = X1 )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= X1 )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_9
| ~ spl0_55 ),
inference(duplicate_literal_removal,[],[f3587]) ).
thf(f3615,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( z = X0 )
| ( ( s @ X0 )
= X1 )
| ( z = X1 )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ X1 @ z )
= $true ) )
| ~ spl0_9
| ~ spl0_55 ),
inference(trivial_inequality_removal,[],[f3614]) ).
thf(f3619,plain,
( ! [X0: $i,X1: $i] :
( ( z = X1 )
| ( ( r @ X1 @ z )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( s @ X0 )
= z )
| ( ( s @ ( s @ X0 ) )
= X1 )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_9
| ~ spl0_55 ),
inference(duplicate_literal_removal,[],[f3597]) ).
thf(f3620,plain,
( ! [X0: $i,X1: $i] :
( ( z = X1 )
| ( ( r @ X1 @ z )
= $true )
| ( ( s @ ( s @ X0 ) )
= X1 )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( s @ X0 )
= z )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_9
| ~ spl0_55 ),
inference(trivial_inequality_removal,[],[f3619]) ).
thf(f3645,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( s @ ( s @ X0 ) )
= X1 )
| ( z = X1 )
| ( ( r @ X1 @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_9
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[],[f3620,f24]) ).
thf(f3658,plain,
( ! [X0: $i,X1: $i] :
( ( z = X1 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ X1 ) ) )
| ( ( s @ X0 )
= ( s @ X1 ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= z ) )
| ~ spl0_9
| ~ spl0_55 ),
inference(constrained_superposition,[],[f3615,f727]) ).
thf(f3670,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ X1 ) ) )
| ( z = X1 )
| ( ( s @ X0 )
= ( s @ X1 ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ X0 )
= z ) )
| ~ spl0_9
| ~ spl0_55 ),
inference(trivial_inequality_removal,[],[f3658]) ).
thf(f3680,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ X1 ) ) )
| ( z = X1 )
| ( ( s @ X0 )
= ( s @ X1 ) )
| ( ( s @ X0 )
= z )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_9
| ~ spl0_54
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[],[f3670,f916]) ).
thf(f3683,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ X1 ) ) )
| ( z = X1 )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ X1 ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_9
| ~ spl0_54
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[],[f3680,f24]) ).
thf(f3701,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( s @ X0 )
= ( s @ X2 ) )
| ( $true
= ( r @ z @ ( s @ X2 ) ) )
| ( $true != $true )
| ( ( s @ X2 )
= ( s @ z ) )
| ( z = X0 )
| ( $true
!= ( r @ z @ X1 ) )
| ( $true
!= ( r @ ( s @ X0 ) @ X1 ) ) )
| ~ spl0_9
| ~ spl0_54
| ~ spl0_55 ),
inference(constrained_superposition,[],[f25,f3683]) ).
thf(f3704,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( z = X0 )
| ( ( s @ X2 )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ X2 ) ) )
| ( $true
!= ( r @ z @ X1 ) )
| ( ( s @ X0 )
= ( s @ X2 ) ) )
| ~ spl0_9
| ~ spl0_54
| ~ spl0_55 ),
inference(trivial_inequality_removal,[],[f3701]) ).
thf(f3807,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ z @ ( s @ ( s @ X1 ) ) )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ X1 ) ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true != $true )
| ( ( s @ X0 )
= z ) )
| ~ spl0_9
| ~ spl0_55 ),
inference(constrained_superposition,[],[f3645,f727]) ).
thf(f3808,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ X1 ) ) )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( z = X0 )
| ( ( s @ X0 )
= z ) )
| ~ spl0_9
| ~ spl0_55 ),
inference(constrained_superposition,[],[f3645,f759]) ).
thf(f3820,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( ( s @ X0 )
= ( s @ ( s @ X1 ) ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ X0 )
= z )
| ( ( r @ z @ ( s @ ( s @ X1 ) ) )
= $true ) )
| ~ spl0_9
| ~ spl0_55 ),
inference(trivial_inequality_removal,[],[f3808]) ).
thf(f3821,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ z @ ( s @ ( s @ X1 ) ) )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ X1 ) ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= z )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_9
| ~ spl0_55 ),
inference(trivial_inequality_removal,[],[f3807]) ).
thf(f3829,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ X1 ) ) )
| ( ( s @ X0 )
= z )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( z = X0 )
| ( ( r @ z @ ( s @ ( s @ X1 ) ) )
= $true ) )
| ~ spl0_9
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[],[f3820,f934]) ).
thf(f3830,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ X1 ) ) )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ X0 )
= ( s @ ( s @ X1 ) ) ) )
| ~ spl0_9
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[],[f3821,f24]) ).
thf(f3831,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ X1 ) ) )
= $true )
| ( z = X0 )
| ( ( s @ X0 )
= ( s @ ( s @ X1 ) ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_9
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[],[f3829,f24]) ).
thf(f3832,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ X1 ) ) )
= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ X0 )
= ( s @ ( s @ X1 ) ) ) )
| ~ spl0_9
| ~ spl0_55
| ~ spl0_69 ),
inference(forward_subsumption_resolution,[],[f3830,f2633]) ).
thf(f3840,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( z = X0 )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_9
| spl0_12
| ~ spl0_55 ),
inference(constrained_superposition,[],[f879,f3831]) ).
thf(f3844,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( z = X0 )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_9
| spl0_12
| ~ spl0_55 ),
inference(trivial_inequality_removal,[],[f3840]) ).
thf(f3847,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_9
| spl0_12
| ~ spl0_55
| ~ spl0_69 ),
inference(constrained_superposition,[],[f879,f3832]) ).
thf(f3853,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_9
| spl0_12
| ~ spl0_55
| ~ spl0_69 ),
inference(trivial_inequality_removal,[],[f3847]) ).
thf(f4409,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f145,f24]) ).
thf(f4410,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
inference(extensionality_resolution,[],[f145,f24]) ).
thf(f4439,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
= $true )
| ( X0 = X2 )
| ( ( r @ X0 @ X2 )
= $true )
| ( $true
= ( r @ X2 @ X3 ) )
| ( X0 = X3 )
| ( X0 = X1 )
| ( $true
= ( r @ X0 @ X3 ) )
| ( $true != $true )
| ( X2 = X3 )
| ( ( r @ X0 @ X1 )
= $true )
| ( X1 = X2 ) ),
inference(constrained_superposition,[],[f441,f26]) ).
thf(f4457,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ X2 @ X3 ) )
| ( ( r @ X1 @ X2 )
= $true )
| ( X1 = X2 )
| ( X0 = X1 )
| ( X0 = X3 )
| ( X0 = X2 )
| ( ( r @ X0 @ X2 )
= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( X2 = X3 )
| ( $true
= ( r @ X0 @ X3 ) ) ),
inference(trivial_inequality_removal,[],[f4439]) ).
thf(f4743,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
= $true )
| ( $true != $true )
| ( z = X0 )
| ( ( s @ z )
= X1 )
| ( $true
= ( r @ X1 @ ( s @ z ) ) )
| ( z = X1 )
| ( $true
= ( r @ X0 @ z ) )
| ( X0 = X1 )
| ( $true
= ( r @ X1 @ X0 ) )
| ( z
= ( s @ z ) ) )
| spl0_1 ),
inference(constrained_superposition,[],[f555,f4457]) ).
thf(f4823,plain,
( ! [X0: $i,X1: $i] :
( ( z = X1 )
| ( X0 = X1 )
| ( ( s @ z )
= X1 )
| ( z = X0 )
| ( ( r @ X1 @ z )
= $true )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ X1 @ X0 ) )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ X1 @ ( s @ z ) ) ) )
| spl0_1 ),
inference(trivial_inequality_removal,[],[f4743]) ).
thf(f4914,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ ( s @ z ) ) )
| ( X0 = X1 )
| ( z = X1 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ z )
= X1 )
| ( z = X0 )
| ( ( r @ X1 @ z )
= $true )
| ( $true
= ( r @ X1 @ X0 ) ) )
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f4823,f24]) ).
thf(f5302,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( s @ X0 )
= X1 )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( z = X1 )
| ( $true != $true ) )
| ~ spl0_9
| ~ spl0_54 ),
inference(constrained_superposition,[],[f3054,f727]) ).
thf(f5327,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X1 @ z )
= $true )
| ( z = X1 )
| ( ( s @ X0 )
= X1 ) )
| ~ spl0_9
| ~ spl0_54 ),
inference(duplicate_literal_removal,[],[f5302]) ).
thf(f5328,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( z = X1 )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= X1 )
| ( ( r @ X1 @ z )
= $true ) )
| ~ spl0_9
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f5327]) ).
thf(f5376,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_9
| ~ spl0_18
| ~ spl0_54 ),
inference(constrained_superposition,[],[f5328,f223]) ).
thf(f5382,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ X1 ) ) )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( ( s @ X1 )
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 )
| ( ( s @ X1 )
= X0 ) )
| ~ spl0_9
| ~ spl0_54 ),
inference(constrained_superposition,[],[f5328,f726]) ).
thf(f5387,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_9
| ~ spl0_18
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f5376]) ).
thf(f5396,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ X1 )
= ( s @ z ) )
| ( z = X0 )
| ( $true
= ( r @ z @ ( s @ X1 ) ) )
| ( $true != $true )
| ( ( s @ X1 )
= X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_9
| ~ spl0_54 ),
inference(duplicate_literal_removal,[],[f5382]) ).
thf(f5397,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X1 )
= ( s @ z ) )
| ( ( s @ X1 )
= X0 )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ z @ ( s @ X1 ) ) )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_9
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f5396]) ).
thf(f5399,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ X1 ) ) )
| ( z = X0 )
| ( ( s @ X1 )
= ( s @ z ) )
| ( $true
= ( r @ z @ X0 ) )
| ( ( s @ z )
= X0 )
| ( ( s @ X1 )
= X0 ) )
| ~ spl0_9
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[],[f5397,f916]) ).
thf(f5401,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true
= ( r @ z @ X0 ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_9
| spl0_12
| ~ spl0_54 ),
inference(constrained_superposition,[],[f879,f5399]) ).
thf(f5405,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_9
| spl0_12
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f5401]) ).
thf(f5583,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f66,f4409]) ).
thf(f5587,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f47,f4409]) ).
thf(f5593,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
inference(constrained_superposition,[],[f29,f4409]) ).
thf(f5596,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f5583]) ).
thf(f5597,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) ),
inference(trivial_inequality_removal,[],[f5587]) ).
thf(f5608,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f5593]) ).
thf(f5611,definition,
( spl0_75
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).
thf(f5612,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f5611]) ).
thf(f5614,definition,
( spl0_76
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).
thf(f5615,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_76 ),
inference(avatar_component_clause,[],[f5614]) ).
thf(f5616,plain,
( spl0_75
| spl0_76 ),
inference(avatar_split_clause,[],[f5596,f5614,f5611]) ).
thf(f5618,definition,
( spl0_77
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).
thf(f5619,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f5618]) ).
thf(f5621,definition,
( spl0_78
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).
thf(f5622,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f5621]) ).
thf(f5623,plain,
( spl0_77
| spl0_78 ),
inference(avatar_split_clause,[],[f5597,f5621,f5618]) ).
thf(f5628,definition,
( spl0_80
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).
thf(f5629,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f5628]) ).
thf(f5632,definition,
( spl0_81
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).
thf(f5633,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f5632]) ).
thf(f5642,definition,
( spl0_84
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).
thf(f5643,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_84 ),
inference(avatar_component_clause,[],[f5642]) ).
thf(f5654,definition,
( spl0_87
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).
thf(f5655,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f5654]) ).
thf(f5668,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_9
| ~ spl0_78 ),
inference(constrained_superposition,[],[f828,f5622]) ).
thf(f5691,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_78 ),
inference(constrained_superposition,[],[f25,f5622]) ).
thf(f5702,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_9
| ~ spl0_78 ),
inference(trivial_inequality_removal,[],[f5668]) ).
thf(f5711,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_78 ),
inference(trivial_inequality_removal,[],[f5691]) ).
thf(f5718,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true != $true )
| spl0_84 ),
inference(constrained_superposition,[],[f5643,f33]) ).
thf(f5721,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| spl0_84 ),
inference(trivial_inequality_removal,[],[f5718]) ).
thf(f5867,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_81 ),
inference(constrained_superposition,[],[f25,f5633]) ).
thf(f5882,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_81 ),
inference(trivial_inequality_removal,[],[f5867]) ).
thf(f6040,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) ),
inference(constrained_superposition,[],[f107,f4410]) ).
thf(f6051,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f29,f4410]) ).
thf(f6053,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f6051]) ).
thf(f6061,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f6040]) ).
thf(f6073,definition,
( spl0_92
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).
thf(f6074,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_92 ),
inference(avatar_component_clause,[],[f6073]) ).
thf(f6077,definition,
( spl0_93
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).
thf(f6078,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_93 ),
inference(avatar_component_clause,[],[f6077]) ).
thf(f6080,definition,
( spl0_94
<=> ! [X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).
thf(f6081,plain,
( ! [X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_94 ),
inference(avatar_component_clause,[],[f6080]) ).
thf(f6083,definition,
( spl0_95
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).
thf(f6084,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| spl0_95 ),
inference(avatar_component_clause,[],[f6083]) ).
thf(f6085,plain,
( spl0_93
| spl0_94
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f6061,f6083,f6080,f6077]) ).
thf(f6093,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| spl0_95 ),
inference(constrained_superposition,[],[f6084,f55]) ).
thf(f6098,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| spl0_95 ),
inference(trivial_inequality_removal,[],[f6093]) ).
thf(f6100,definition,
( spl0_98
<=> ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).
thf(f6101,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_98 ),
inference(avatar_component_clause,[],[f6100]) ).
thf(f6104,plain,
( spl0_76
| spl0_95 ),
inference(avatar_split_clause,[],[f6098,f6083,f5614]) ).
thf(f6108,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| spl0_92 ),
inference(constrained_superposition,[],[f6074,f26]) ).
thf(f6110,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| spl0_92 ),
inference(trivial_inequality_removal,[],[f6108]) ).
thf(f6152,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f6053,f56]) ).
thf(f6159,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f6152]) ).
thf(f6166,definition,
( spl0_100
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).
thf(f6167,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_100 ),
inference(avatar_component_clause,[],[f6166]) ).
thf(f6170,definition,
( spl0_101
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).
thf(f6171,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_101 ),
inference(avatar_component_clause,[],[f6170]) ).
thf(f6173,definition,
( spl0_102
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).
thf(f6174,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_102 ),
inference(avatar_component_clause,[],[f6173]) ).
thf(f6175,plain,
( ~ spl0_101
| spl0_102
| spl0_93 ),
inference(avatar_split_clause,[],[f6159,f6077,f6173,f6170]) ).
thf(f6176,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_101 ),
inference(constrained_superposition,[],[f6171,f56]) ).
thf(f6181,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_101 ),
inference(trivial_inequality_removal,[],[f6176]) ).
thf(f6184,plain,
( spl0_80
| spl0_101 ),
inference(avatar_split_clause,[],[f6181,f6170,f5628]) ).
thf(f6295,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_100 ),
inference(constrained_superposition,[],[f6167,f34]) ).
thf(f6300,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_100 ),
inference(trivial_inequality_removal,[],[f6295]) ).
thf(f6302,definition,
( spl0_104
<=> ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).
thf(f6303,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_104 ),
inference(avatar_component_clause,[],[f6302]) ).
thf(f6307,plain,
( spl0_41
| spl0_87
| spl0_100 ),
inference(avatar_split_clause,[],[f6300,f6166,f5654,f577]) ).
thf(f6314,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_102 ),
inference(constrained_superposition,[],[f6174,f148]) ).
thf(f6319,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_102 ),
inference(trivial_inequality_removal,[],[f6314]) ).
thf(f6324,plain,
( ~ spl0_23
| spl0_87
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f6319,f6173,f5654,f283]) ).
thf(f6567,definition,
( spl0_108
<=> ! [X1: $i] :
( ( $true
= ( r @ z @ ( s @ X1 ) ) )
| ( ( s @ X1 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ X1 )
= ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).
thf(f6568,plain,
( ! [X1: $i] :
( ( ( s @ X1 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ X1 )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ X1 ) ) ) )
| ~ spl0_108 ),
inference(avatar_component_clause,[],[f6567]) ).
thf(f6591,definition,
( spl0_111
<=> ! [X1: $i] :
( ( ( s @ X1 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z = X1 )
| ( $true
= ( r @ z @ ( s @ X1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).
thf(f6592,plain,
( ! [X1: $i] :
( ( ( s @ X1 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z = X1 )
| ( $true
= ( r @ z @ ( s @ X1 ) ) ) )
| ~ spl0_111 ),
inference(avatar_component_clause,[],[f6591]) ).
thf(f7736,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_98 ),
inference(constrained_superposition,[],[f55,f6101]) ).
thf(f8029,definition,
( spl0_148
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).
thf(f8030,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_148 ),
inference(avatar_component_clause,[],[f8029]) ).
thf(f8084,definition,
( spl0_151
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).
thf(f8085,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_151 ),
inference(avatar_component_clause,[],[f8084]) ).
thf(f8087,definition,
( spl0_152
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).
thf(f8088,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_152 ),
inference(avatar_component_clause,[],[f8087]) ).
thf(f8090,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_98 ),
inference(forward_subsumption_resolution,[],[f7736,f27]) ).
thf(f8133,definition,
( spl0_155
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).
thf(f8134,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_155 ),
inference(avatar_component_clause,[],[f8133]) ).
thf(f8146,definition,
( spl0_156
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).
thf(f8147,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_156 ),
inference(avatar_component_clause,[],[f8146]) ).
thf(f8172,plain,
( $false
| ~ spl0_98 ),
inference(forward_subsumption_resolution,[],[f8090,f23]) ).
thf(f8173,plain,
~ spl0_98,
inference(avatar_contradiction_clause,[],[f8172]) ).
thf(f8206,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_104 ),
inference(constrained_superposition,[],[f147,f6303]) ).
thf(f8506,definition,
( spl0_159
<=> ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).
thf(f8507,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_159 ),
inference(avatar_component_clause,[],[f8506]) ).
thf(f8525,definition,
( spl0_162
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).
thf(f8526,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_162 ),
inference(avatar_component_clause,[],[f8525]) ).
thf(f8540,definition,
( spl0_163
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).
thf(f8541,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_163 ),
inference(avatar_component_clause,[],[f8540]) ).
thf(f8562,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_104 ),
inference(forward_subsumption_resolution,[],[f8206,f27]) ).
thf(f8591,definition,
( spl0_165
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).
thf(f8592,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_165 ),
inference(avatar_component_clause,[],[f8591]) ).
thf(f8637,plain,
( $false
| ~ spl0_104 ),
inference(forward_subsumption_resolution,[],[f8562,f23]) ).
thf(f8638,plain,
~ spl0_104,
inference(avatar_contradiction_clause,[],[f8637]) ).
thf(f9760,definition,
( spl0_178
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).
thf(f9761,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_178 ),
inference(avatar_component_clause,[],[f9760]) ).
thf(f11543,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
!= ( s @ z ) )
| spl0_98 ),
inference(avatar_component_clause,[],[f6100]) ).
thf(f11557,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
!= ( s @ ( s @ z ) ) )
| spl0_104 ),
inference(avatar_component_clause,[],[f6302]) ).
thf(f11593,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_98 ),
inference(extensionality_resolution,[],[f145,f11543]) ).
thf(f11594,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_98 ),
inference(extensionality_resolution,[],[f145,f11543]) ).
thf(f11595,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_98 ),
inference(extensionality_resolution,[],[f495,f11543]) ).
thf(f11596,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_98 ),
inference(extensionality_resolution,[],[f495,f11543]) ).
thf(f11598,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_98 ),
inference(extensionality_resolution,[],[f169,f11543]) ).
thf(f11611,definition,
( spl0_192
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_192])],[avatar_definition]) ).
thf(f11612,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_192 ),
inference(avatar_component_clause,[],[f11611]) ).
thf(f11614,definition,
( spl0_193
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_193])],[avatar_definition]) ).
thf(f11615,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_193 ),
inference(avatar_component_clause,[],[f11614]) ).
thf(f11616,plain,
( spl0_192
| spl0_193
| spl0_98 ),
inference(avatar_split_clause,[],[f11594,f6100,f11614,f11611]) ).
thf(f11618,definition,
( spl0_194
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_194])],[avatar_definition]) ).
thf(f11619,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_194 ),
inference(avatar_component_clause,[],[f11618]) ).
thf(f11621,definition,
( spl0_195
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_195])],[avatar_definition]) ).
thf(f11622,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_195 ),
inference(avatar_component_clause,[],[f11621]) ).
thf(f11623,plain,
( spl0_194
| spl0_195
| spl0_98 ),
inference(avatar_split_clause,[],[f11593,f6100,f11621,f11618]) ).
thf(f11624,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_104 ),
inference(extensionality_resolution,[],[f145,f11557]) ).
thf(f11625,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_104 ),
inference(extensionality_resolution,[],[f145,f11557]) ).
thf(f11626,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| spl0_104 ),
inference(extensionality_resolution,[],[f495,f11557]) ).
thf(f11627,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_104 ),
inference(extensionality_resolution,[],[f495,f11557]) ).
thf(f11632,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_104 ),
inference(extensionality_resolution,[],[f53,f11557]) ).
thf(f11633,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_104 ),
inference(extensionality_resolution,[],[f53,f11557]) ).
thf(f11642,definition,
( spl0_196
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_196])],[avatar_definition]) ).
thf(f11643,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_196 ),
inference(avatar_component_clause,[],[f11642]) ).
thf(f11645,definition,
( spl0_197
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_197])],[avatar_definition]) ).
thf(f11646,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_197 ),
inference(avatar_component_clause,[],[f11645]) ).
thf(f11647,plain,
( spl0_196
| spl0_197
| spl0_104 ),
inference(avatar_split_clause,[],[f11625,f6302,f11645,f11642]) ).
thf(f11649,definition,
( spl0_198
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_198])],[avatar_definition]) ).
thf(f11650,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_198 ),
inference(avatar_component_clause,[],[f11649]) ).
thf(f11652,definition,
( spl0_199
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_199])],[avatar_definition]) ).
thf(f11653,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_199 ),
inference(avatar_component_clause,[],[f11652]) ).
thf(f11654,plain,
( spl0_198
| spl0_199
| spl0_104 ),
inference(avatar_split_clause,[],[f11633,f6302,f11652,f11649]) ).
thf(f11656,definition,
( spl0_200
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_200])],[avatar_definition]) ).
thf(f11657,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_200 ),
inference(avatar_component_clause,[],[f11656]) ).
thf(f11659,definition,
( spl0_201
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_201])],[avatar_definition]) ).
thf(f11660,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_201 ),
inference(avatar_component_clause,[],[f11659]) ).
thf(f11661,plain,
( spl0_200
| spl0_201
| spl0_104 ),
inference(avatar_split_clause,[],[f11624,f6302,f11659,f11656]) ).
thf(f11663,definition,
( spl0_202
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_202])],[avatar_definition]) ).
thf(f11664,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_202 ),
inference(avatar_component_clause,[],[f11663]) ).
thf(f11666,definition,
( spl0_203
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_203])],[avatar_definition]) ).
thf(f11667,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_203 ),
inference(avatar_component_clause,[],[f11666]) ).
thf(f11668,plain,
( spl0_202
| spl0_203
| spl0_104 ),
inference(avatar_split_clause,[],[f11632,f6302,f11666,f11663]) ).
thf(f11679,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_75
| ~ spl0_198 ),
inference(constrained_superposition,[],[f5612,f11650]) ).
thf(f11702,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_75
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f11679]) ).
thf(f11723,definition,
( spl0_206
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_206])],[avatar_definition]) ).
thf(f11724,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_206 ),
inference(avatar_component_clause,[],[f11723]) ).
thf(f11726,definition,
( spl0_207
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_207])],[avatar_definition]) ).
thf(f11727,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_207 ),
inference(avatar_component_clause,[],[f11726]) ).
thf(f11730,definition,
( spl0_208
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_208])],[avatar_definition]) ).
thf(f11731,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_208 ),
inference(avatar_component_clause,[],[f11730]) ).
thf(f11734,definition,
( spl0_209
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_209])],[avatar_definition]) ).
thf(f11735,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_209 ),
inference(avatar_component_clause,[],[f11734]) ).
thf(f11737,definition,
( spl0_210
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_210])],[avatar_definition]) ).
thf(f11738,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_210 ),
inference(avatar_component_clause,[],[f11737]) ).
thf(f11739,plain,
( ~ spl0_209
| ~ spl0_210
| spl0_207
| ~ spl0_75
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f11702,f11649,f5611,f11726,f11737,f11734]) ).
thf(f11741,definition,
( spl0_211
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_211])],[avatar_definition]) ).
thf(f11742,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_211 ),
inference(avatar_component_clause,[],[f11741]) ).
thf(f11744,definition,
( spl0_212
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_212])],[avatar_definition]) ).
thf(f11745,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_212 ),
inference(avatar_component_clause,[],[f11744]) ).
thf(f11752,definition,
( spl0_214
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_214])],[avatar_definition]) ).
thf(f11753,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_214 ),
inference(avatar_component_clause,[],[f11752]) ).
thf(f11757,definition,
( spl0_215
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_215])],[avatar_definition]) ).
thf(f11758,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_215 ),
inference(avatar_component_clause,[],[f11757]) ).
thf(f11760,definition,
( spl0_216
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_216])],[avatar_definition]) ).
thf(f11761,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_216 ),
inference(avatar_component_clause,[],[f11760]) ).
thf(f11768,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_210 ),
inference(constrained_superposition,[],[f11738,f55]) ).
thf(f11770,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| spl0_210 ),
inference(constrained_superposition,[],[f11738,f26]) ).
thf(f11772,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_210 ),
inference(trivial_inequality_removal,[],[f11770]) ).
thf(f11773,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_210 ),
inference(trivial_inequality_removal,[],[f11768]) ).
thf(f11776,definition,
( spl0_217
<=> ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_217])],[avatar_definition]) ).
thf(f11777,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_217 ),
inference(avatar_component_clause,[],[f11776]) ).
thf(f11778,plain,
( spl0_217
| spl0_148
| spl0_210 ),
inference(avatar_split_clause,[],[f11772,f11737,f8029,f11776]) ).
thf(f11779,plain,
( spl0_148
| spl0_210 ),
inference(avatar_split_clause,[],[f11773,f11737,f8029]) ).
thf(f11785,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_155 ),
inference(constrained_superposition,[],[f8134,f33]) ).
thf(f11788,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_155 ),
inference(trivial_inequality_removal,[],[f11785]) ).
thf(f11806,definition,
( spl0_218
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_218])],[avatar_definition]) ).
thf(f11807,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_218 ),
inference(avatar_component_clause,[],[f11806]) ).
thf(f11904,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_4
| spl0_13
| ~ spl0_18
| ~ spl0_55
| ~ spl0_214 ),
inference(constrained_superposition,[],[f1175,f11753]) ).
thf(f11966,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_4
| spl0_13
| ~ spl0_18
| ~ spl0_55
| ~ spl0_214 ),
inference(trivial_inequality_removal,[],[f11904]) ).
thf(f11987,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_4
| spl0_13
| ~ spl0_18
| ~ spl0_55
| ~ spl0_214 ),
inference(forward_subsumption_resolution,[],[f11966,f24]) ).
thf(f11991,definition,
( spl0_219
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_219])],[avatar_definition]) ).
thf(f11992,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_219 ),
inference(avatar_component_clause,[],[f11991]) ).
thf(f11997,plain,
( spl0_219
| ~ spl0_4
| spl0_13
| ~ spl0_18
| ~ spl0_55
| ~ spl0_214 ),
inference(avatar_split_clause,[],[f11987,f11752,f933,f222,f205,f80,f11991]) ).
thf(f12231,definition,
( spl0_221
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_221])],[avatar_definition]) ).
thf(f12232,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_221 ),
inference(avatar_component_clause,[],[f12231]) ).
thf(f12431,definition,
( spl0_222
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_222])],[avatar_definition]) ).
thf(f12432,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_222 ),
inference(avatar_component_clause,[],[f12431]) ).
thf(f12434,definition,
( spl0_223
<=> ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_223])],[avatar_definition]) ).
thf(f12435,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_223 ),
inference(avatar_component_clause,[],[f12434]) ).
thf(f12774,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_156 ),
inference(constrained_superposition,[],[f8147,f4409]) ).
thf(f12785,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_156 ),
inference(trivial_inequality_removal,[],[f12774]) ).
thf(f12790,plain,
( spl0_221
| ~ spl0_95
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f12785,f8146,f6083,f12231]) ).
thf(f13225,definition,
( spl0_230
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_230])],[avatar_definition]) ).
thf(f13226,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_230 ),
inference(avatar_component_clause,[],[f13225]) ).
thf(f13227,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_208 ),
inference(avatar_component_clause,[],[f11730]) ).
thf(f13315,definition,
( spl0_233
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_233])],[avatar_definition]) ).
thf(f13316,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_233 ),
inference(avatar_component_clause,[],[f13315]) ).
thf(f13333,definition,
( spl0_235
<=> ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_235])],[avatar_definition]) ).
thf(f13334,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_235 ),
inference(avatar_component_clause,[],[f13333]) ).
thf(f13343,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_4
| ~ spl0_9
| ~ spl0_78 ),
inference(forward_subsumption_resolution,[],[f5702,f81]) ).
thf(f13348,definition,
( spl0_238
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_238])],[avatar_definition]) ).
thf(f13349,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_238 ),
inference(avatar_component_clause,[],[f13348]) ).
thf(f13404,plain,
( spl0_233
| ~ spl0_4
| ~ spl0_9
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f13343,f5621,f140,f80,f13315]) ).
thf(f13430,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_235 ),
inference(constrained_superposition,[],[f13334,f32]) ).
thf(f13432,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_235 ),
inference(trivial_inequality_removal,[],[f13430]) ).
thf(f13456,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_76
| ~ spl0_81 ),
inference(constrained_superposition,[],[f5882,f5615]) ).
thf(f13489,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_76
| ~ spl0_81 ),
inference(trivial_inequality_removal,[],[f13456]) ).
thf(f13514,plain,
( $false
| ~ spl0_18
| ~ spl0_76
| ~ spl0_81 ),
inference(forward_subsumption_resolution,[],[f13489,f223]) ).
thf(f13515,plain,
( ~ spl0_18
| ~ spl0_76
| ~ spl0_81 ),
inference(avatar_contradiction_clause,[],[f13514]) ).
thf(f13519,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_92
| spl0_104 ),
inference(forward_subsumption_resolution,[],[f6110,f11557]) ).
thf(f13523,plain,
( spl0_81
| spl0_92
| spl0_104 ),
inference(avatar_split_clause,[],[f13519,f6302,f6073,f5632]) ).
thf(f13527,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_4
| spl0_13
| ~ spl0_18
| ~ spl0_55
| ~ spl0_80 ),
inference(constrained_superposition,[],[f1175,f5629]) ).
thf(f13529,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_4
| ~ spl0_80 ),
inference(constrained_superposition,[],[f618,f5629]) ).
thf(f13537,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_4
| spl0_13
| ~ spl0_18
| ~ spl0_55
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f13527]) ).
thf(f13538,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_4
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f13529]) ).
thf(f13548,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_4
| spl0_13
| ~ spl0_18
| ~ spl0_55
| ~ spl0_80 ),
inference(forward_subsumption_resolution,[],[f13537,f24]) ).
thf(f13549,plain,
( $false
| ~ spl0_4
| ~ spl0_80
| ~ spl0_233 ),
inference(forward_subsumption_resolution,[],[f13538,f13316]) ).
thf(f13550,plain,
( ~ spl0_4
| ~ spl0_80
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f13549]) ).
thf(f13554,plain,
( $false
| ~ spl0_4
| spl0_13
| ~ spl0_18
| ~ spl0_55
| ~ spl0_80
| spl0_104 ),
inference(forward_subsumption_resolution,[],[f13548,f11557]) ).
thf(f13555,plain,
( ~ spl0_4
| spl0_13
| ~ spl0_18
| ~ spl0_55
| ~ spl0_80
| spl0_104 ),
inference(avatar_contradiction_clause,[],[f13554]) ).
thf(f13590,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_218 ),
inference(constrained_superposition,[],[f4410,f11807]) ).
thf(f13835,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_218 ),
inference(forward_subsumption_resolution,[],[f13590,f27]) ).
thf(f13881,plain,
( $false
| ~ spl0_218 ),
inference(forward_subsumption_resolution,[],[f13835,f23]) ).
thf(f13882,plain,
~ spl0_218,
inference(avatar_contradiction_clause,[],[f13881]) ).
thf(f13891,definition,
( spl0_245
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_245])],[avatar_definition]) ).
thf(f13892,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 ) )
| ~ spl0_245 ),
inference(avatar_component_clause,[],[f13891]) ).
thf(f13930,definition,
( spl0_247
<=> ! [X1: $i] :
( ( $true
= ( r @ z @ ( s @ X1 ) ) )
| ( ( s @ X1 )
= ( s @ ( s @ z ) ) )
| ( z = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_247])],[avatar_definition]) ).
thf(f13931,plain,
( ! [X1: $i] :
( ( $true
= ( r @ z @ ( s @ X1 ) ) )
| ( z = X1 )
| ( ( s @ X1 )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_247 ),
inference(avatar_component_clause,[],[f13930]) ).
thf(f13944,definition,
( spl0_248
<=> ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_248])],[avatar_definition]) ).
thf(f13945,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_248 ),
inference(avatar_component_clause,[],[f13944]) ).
thf(f13953,definition,
( spl0_249
<=> ! [X1: $i] :
( ( ( s @ ( s @ z ) )
= X1 )
| ( z = X1 )
| ( ( s @ z )
= X1 )
| ( $true
= ( r @ z @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_249])],[avatar_definition]) ).
thf(f13954,plain,
( ! [X1: $i] :
( ( $true
= ( r @ z @ X1 ) )
| ( ( s @ z )
= X1 )
| ( z = X1 )
| ( ( s @ ( s @ z ) )
= X1 ) )
| ~ spl0_249 ),
inference(avatar_component_clause,[],[f13953]) ).
thf(f13962,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_9
| ~ spl0_18
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[],[f5387,f24]) ).
thf(f14000,plain,
( spl0_248
| ~ spl0_9
| spl0_12
| ~ spl0_55
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f3853,f2632,f933,f201,f140,f13944]) ).
thf(f14002,plain,
( spl0_41
| spl0_249
| ~ spl0_9
| spl0_12
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f5405,f915,f201,f140,f13953,f577]) ).
thf(f14006,plain,
( spl0_247
| ~ spl0_9
| spl0_12
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f3844,f933,f201,f140,f13930]) ).
thf(f14034,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_9
| spl0_13
| ~ spl0_18
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[],[f13962,f1067]) ).
thf(f14062,plain,
( spl0_248
| ~ spl0_9
| spl0_13
| ~ spl0_18
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f14034,f915,f222,f205,f140,f13944]) ).
thf(f14082,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_15
| ~ spl0_36 ),
inference(constrained_superposition,[],[f874,f553]) ).
thf(f14095,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| spl0_15
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f14082]) ).
thf(f14102,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| spl0_12
| spl0_15
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f14095,f879]) ).
thf(f14103,plain,
( $false
| spl0_12
| spl0_13
| spl0_15
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f14102,f1067]) ).
thf(f14104,plain,
( spl0_12
| spl0_13
| spl0_15
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f14103]) ).
thf(f14371,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_219 ),
inference(constrained_superposition,[],[f4409,f11992]) ).
thf(f14548,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_219 ),
inference(forward_subsumption_resolution,[],[f14371,f27]) ).
thf(f14581,plain,
( $false
| ~ spl0_219 ),
inference(forward_subsumption_resolution,[],[f14548,f23]) ).
thf(f14582,plain,
~ spl0_219,
inference(avatar_contradiction_clause,[],[f14581]) ).
thf(f14727,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_48
| ~ spl0_78 ),
inference(constrained_superposition,[],[f5711,f702]) ).
thf(f14760,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_48
| ~ spl0_78 ),
inference(trivial_inequality_removal,[],[f14727]) ).
thf(f14966,plain,
( spl0_18
| spl0_27 ),
inference(avatar_split_clause,[],[f368,f339,f222]) ).
thf(f14969,plain,
( spl0_18
| spl0_41
| spl0_27 ),
inference(avatar_split_clause,[],[f369,f339,f577,f222]) ).
thf(f14976,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| spl0_18 ),
inference(avatar_component_clause,[],[f222]) ).
thf(f15009,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true != $true )
| ( $true
= ( r @ X0 @ z ) ) )
| spl0_1
| spl0_18 ),
inference(constrained_superposition,[],[f14976,f4914]) ).
thf(f15010,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_9
| spl0_18 ),
inference(constrained_superposition,[],[f14976,f726]) ).
thf(f15015,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_9
| spl0_18 ),
inference(trivial_inequality_removal,[],[f15010]) ).
thf(f15017,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true
= ( r @ X0 @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z
= ( s @ ( s @ z ) ) )
| ( z = X0 ) )
| spl0_1
| spl0_18 ),
inference(trivial_inequality_removal,[],[f15009]) ).
thf(f15024,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( z = X0 ) )
| spl0_1
| spl0_13
| spl0_18 ),
inference(forward_subsumption_resolution,[],[f15017,f1067]) ).
thf(f15036,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true )
| ( z = X0 ) )
| spl0_1
| spl0_13
| spl0_18 ),
inference(forward_subsumption_resolution,[],[f15024,f24]) ).
thf(f15038,plain,
( spl0_41
| spl0_245
| spl0_1
| spl0_13
| spl0_18 ),
inference(avatar_split_clause,[],[f15036,f222,f205,f70,f13891,f577]) ).
thf(f15066,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_9
| spl0_18 ),
inference(forward_subsumption_resolution,[],[f15015,f24]) ).
thf(f15104,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_48
| ~ spl0_56
| ~ spl0_78 ),
inference(forward_subsumption_resolution,[],[f14760,f955]) ).
thf(f15136,plain,
( spl0_41
| spl0_12
| ~ spl0_9
| spl0_18 ),
inference(avatar_split_clause,[],[f15066,f222,f140,f201,f577]) ).
thf(f15182,plain,
( ~ spl0_12
| ~ spl0_48
| ~ spl0_56
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f15104,f5621,f954,f701,f201]) ).
thf(f15192,plain,
( spl0_78
| spl0_84 ),
inference(avatar_split_clause,[],[f5721,f5642,f5621]) ).
thf(f15200,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_12 ),
inference(constrained_superposition,[],[f25,f202]) ).
thf(f15201,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f15200]) ).
thf(f15203,plain,
( spl0_159
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f15201,f201,f8506]) ).
thf(f15247,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_73
| ~ spl0_76 ),
inference(constrained_superposition,[],[f3405,f5615]) ).
thf(f15265,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_9
| ~ spl0_55
| ~ spl0_76 ),
inference(constrained_superposition,[],[f3645,f5615]) ).
thf(f15266,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true != $true ) )
| ~ spl0_9
| ~ spl0_54
| ~ spl0_76 ),
inference(constrained_superposition,[],[f5328,f5615]) ).
thf(f15267,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_76 ),
inference(constrained_superposition,[],[f25,f5615]) ).
thf(f15277,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f15267]) ).
thf(f15286,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_9
| ~ spl0_54
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f15266]) ).
thf(f15287,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_9
| ~ spl0_55
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f15265]) ).
thf(f15290,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_73
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f15247]) ).
thf(f15353,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_25
| ~ spl0_159 ),
inference(constrained_superposition,[],[f8507,f334]) ).
thf(f15354,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_87
| ~ spl0_159 ),
inference(constrained_superposition,[],[f8507,f5655]) ).
thf(f15366,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_25
| ~ spl0_159 ),
inference(trivial_inequality_removal,[],[f15353]) ).
thf(f15367,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_87
| ~ spl0_159 ),
inference(trivial_inequality_removal,[],[f15354]) ).
thf(f15375,plain,
( ! [X0: $i] :
( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ~ spl0_4
| ~ spl0_25
| ~ spl0_159 ),
inference(forward_subsumption_resolution,[],[f15366,f618]) ).
thf(f15378,plain,
( spl0_66
| ~ spl0_4
| ~ spl0_25
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f15375,f8506,f333,f80,f1948]) ).
thf(f15382,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_233 ),
inference(avatar_component_clause,[],[f13315]) ).
thf(f15385,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) )
| ~ spl0_9
| ~ spl0_54
| ~ spl0_76 ),
inference(forward_subsumption_resolution,[],[f15286,f24]) ).
thf(f15386,plain,
( ~ spl0_233
| ~ spl0_87
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f15367,f8506,f5654,f13315]) ).
thf(f15387,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_73
| ~ spl0_76
| spl0_104 ),
inference(forward_subsumption_resolution,[],[f15290,f11557]) ).
thf(f15389,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_9
| ~ spl0_55
| ~ spl0_76 ),
inference(forward_subsumption_resolution,[],[f15287,f24]) ).
thf(f15404,plain,
( spl0_233
| spl0_235 ),
inference(avatar_split_clause,[],[f13432,f13333,f13315]) ).
thf(f15410,plain,
( spl0_108
| spl0_78
| ~ spl0_9
| ~ spl0_54
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f15385,f5614,f915,f140,f5621,f6567]) ).
thf(f15411,plain,
( spl0_78
| ~ spl0_73
| ~ spl0_76
| spl0_104 ),
inference(avatar_split_clause,[],[f15387,f6302,f5614,f3404,f5621]) ).
thf(f15413,definition,
( spl0_290
<=> ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_290])],[avatar_definition]) ).
thf(f15414,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_290 ),
inference(avatar_component_clause,[],[f15413]) ).
thf(f15415,plain,
( spl0_78
| spl0_290
| ~ spl0_9
| ~ spl0_55
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f15389,f5614,f933,f140,f15413,f5621]) ).
thf(f15463,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_66
| spl0_104 ),
inference(forward_subsumption_resolution,[],[f11627,f1949]) ).
thf(f15464,plain,
( spl0_178
| spl0_155 ),
inference(avatar_split_clause,[],[f11788,f8133,f9760]) ).
thf(f15466,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_66
| spl0_98 ),
inference(forward_subsumption_resolution,[],[f11598,f1949]) ).
thf(f15469,definition,
( spl0_293
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_293])],[avatar_definition]) ).
thf(f15470,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_293 ),
inference(avatar_component_clause,[],[f15469]) ).
thf(f15475,plain,
( spl0_178
| spl0_293
| spl0_78
| ~ spl0_66
| spl0_104 ),
inference(avatar_split_clause,[],[f15463,f6302,f1948,f5621,f15469,f9760]) ).
thf(f15477,definition,
( spl0_294
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_294])],[avatar_definition]) ).
thf(f15478,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_294 ),
inference(avatar_component_clause,[],[f15477]) ).
thf(f15479,plain,
( spl0_178
| ~ spl0_28
| spl0_294
| ~ spl0_66
| spl0_98 ),
inference(avatar_split_clause,[],[f15466,f6100,f1948,f15477,f343,f9760]) ).
thf(f15484,definition,
( spl0_296
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_296])],[avatar_definition]) ).
thf(f15485,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_296 ),
inference(avatar_component_clause,[],[f15484]) ).
thf(f15812,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_54
| ~ spl0_178 ),
inference(constrained_superposition,[],[f916,f9761]) ).
thf(f15821,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_54
| ~ spl0_178 ),
inference(trivial_inequality_removal,[],[f15812]) ).
thf(f15830,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_54
| ~ spl0_66
| ~ spl0_178 ),
inference(forward_subsumption_resolution,[],[f15821,f1949]) ).
thf(f15834,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_54
| ~ spl0_66
| ~ spl0_178 ),
inference(forward_subsumption_resolution,[],[f15830,f24]) ).
thf(f15839,plain,
( spl0_217
| ~ spl0_54
| ~ spl0_66
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f15834,f9760,f1948,f915,f11776]) ).
thf(f15841,plain,
( $false
| ~ spl0_66
| ~ spl0_233 ),
inference(forward_subsumption_resolution,[],[f13316,f1949]) ).
thf(f15842,plain,
( ~ spl0_66
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f15841]) ).
thf(f15845,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_4
| ~ spl0_15 ),
inference(constrained_superposition,[],[f618,f213]) ).
thf(f15857,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_4
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f15845]) ).
thf(f15860,plain,
( $false
| ~ spl0_4
| ~ spl0_12
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f15857,f202]) ).
thf(f15861,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f15860]) ).
thf(f15864,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_56
| ~ spl0_93 ),
inference(forward_subsumption_resolution,[],[f6078,f955]) ).
thf(f15865,plain,
( spl0_296
| ~ spl0_56
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f15864,f6077,f954,f15484]) ).
thf(f15867,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( z
= ( s @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true != $true )
| spl0_15
| ~ spl0_38 ),
inference(constrained_superposition,[],[f874,f564]) ).
thf(f15872,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( z
= ( s @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_15
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f15867]) ).
thf(f16022,plain,
( $false
| ~ spl0_56
| ~ spl0_80 ),
inference(forward_subsumption_resolution,[],[f5629,f955]) ).
thf(f16023,plain,
( ~ spl0_56
| ~ spl0_80 ),
inference(avatar_contradiction_clause,[],[f16022]) ).
thf(f16090,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f25,f71]) ).
thf(f16091,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f16090]) ).
thf(f16190,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_9
| ~ spl0_54
| ~ spl0_55
| ~ spl0_163 ),
inference(constrained_superposition,[],[f3704,f8541]) ).
thf(f16201,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_9
| ~ spl0_54
| ~ spl0_55
| ~ spl0_163 ),
inference(trivial_inequality_removal,[],[f16190]) ).
thf(f16213,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_9
| ~ spl0_54
| ~ spl0_55
| ~ spl0_163 ),
inference(forward_subsumption_resolution,[],[f16201,f24]) ).
thf(f16227,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_9
| ~ spl0_12
| ~ spl0_54
| ~ spl0_55
| ~ spl0_163 ),
inference(forward_subsumption_resolution,[],[f16213,f202]) ).
thf(f16234,plain,
( spl0_223
| ~ spl0_9
| ~ spl0_12
| ~ spl0_54
| ~ spl0_55
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f16227,f8540,f933,f915,f201,f140,f12434]) ).
thf(f16235,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_25
| ~ spl0_293 ),
inference(constrained_superposition,[],[f1723,f15470]) ).
thf(f16236,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_9
| ~ spl0_293 ),
inference(constrained_superposition,[],[f828,f15470]) ).
thf(f16264,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_9
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f16236]) ).
thf(f16265,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_25
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f16235]) ).
thf(f16269,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_9
| ~ spl0_66
| ~ spl0_293 ),
inference(forward_subsumption_resolution,[],[f16264,f1949]) ).
thf(f16270,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_25
| ~ spl0_293
| ~ spl0_294 ),
inference(forward_subsumption_resolution,[],[f16265,f15478]) ).
thf(f16274,plain,
( spl0_80
| ~ spl0_25
| ~ spl0_293
| ~ spl0_294 ),
inference(avatar_split_clause,[],[f16270,f15477,f15469,f333,f5628]) ).
thf(f16283,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_294 ),
inference(avatar_component_clause,[],[f15477]) ).
thf(f16284,plain,
( ~ spl0_294
| spl0_80
| ~ spl0_25
| ~ spl0_293 ),
inference(avatar_split_clause,[],[f16265,f15469,f333,f5628,f15477]) ).
thf(f16371,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_217 ),
inference(constrained_superposition,[],[f56,f11777]) ).
thf(f16513,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_217 ),
inference(forward_subsumption_resolution,[],[f16371,f27]) ).
thf(f16534,plain,
( $false
| ~ spl0_217 ),
inference(forward_subsumption_resolution,[],[f16513,f23]) ).
thf(f16535,plain,
~ spl0_217,
inference(avatar_contradiction_clause,[],[f16534]) ).
thf(f16536,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_25
| spl0_294 ),
inference(constrained_superposition,[],[f16283,f334]) ).
thf(f16544,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_25
| spl0_294 ),
inference(trivial_inequality_removal,[],[f16536]) ).
thf(f16548,plain,
( $false
| ~ spl0_9
| ~ spl0_25
| ~ spl0_66
| ~ spl0_293
| spl0_294 ),
inference(forward_subsumption_resolution,[],[f16544,f16269]) ).
thf(f16549,plain,
( ~ spl0_9
| ~ spl0_25
| ~ spl0_66
| ~ spl0_293
| spl0_294 ),
inference(avatar_contradiction_clause,[],[f16548]) ).
thf(f16555,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_47
| ~ spl0_80 ),
inference(constrained_superposition,[],[f675,f5629]) ).
thf(f16567,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_47
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f16555]) ).
thf(f16574,plain,
( spl0_78
| spl0_41
| ~ spl0_47
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f16567,f5628,f674,f577,f5621]) ).
thf(f16579,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_159
| ~ spl0_294 ),
inference(constrained_superposition,[],[f8507,f15478]) ).
thf(f16593,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_159
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f16579]) ).
thf(f16607,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_159
| ~ spl0_208 ),
inference(constrained_superposition,[],[f8507,f11731]) ).
thf(f16626,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_159
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f16607]) ).
thf(f16678,definition,
( spl0_319
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_319])],[avatar_definition]) ).
thf(f16679,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_319 ),
inference(avatar_component_clause,[],[f16678]) ).
thf(f16684,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_238 ),
inference(avatar_component_clause,[],[f13348]) ).
thf(f16686,plain,
( ~ spl0_319
| ~ spl0_159
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f16626,f11730,f8506,f16678]) ).
thf(f16705,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_87 ),
inference(avatar_component_clause,[],[f5654]) ).
thf(f16708,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_80 ),
inference(avatar_component_clause,[],[f5628]) ).
thf(f16717,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_15
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f15872,f24]) ).
thf(f16718,plain,
( spl0_43
| ~ spl0_25
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f15366,f8506,f333,f606]) ).
thf(f16726,plain,
( ~ spl0_238
| ~ spl0_159
| ~ spl0_294 ),
inference(avatar_split_clause,[],[f16593,f15477,f8506,f13348]) ).
thf(f16735,definition,
( spl0_322
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_322])],[avatar_definition]) ).
thf(f16736,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_322 ),
inference(avatar_component_clause,[],[f16735]) ).
thf(f16750,plain,
( spl0_238
| spl0_293
| spl0_78
| spl0_178
| spl0_104 ),
inference(avatar_split_clause,[],[f11627,f6302,f9760,f5621,f15469,f13348]) ).
thf(f16756,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_319 ),
inference(avatar_component_clause,[],[f16678]) ).
thf(f16809,plain,
( spl0_41
| spl0_4
| spl0_15
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f16717,f563,f212,f80,f577]) ).
thf(f16856,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_41 ),
inference(constrained_superposition,[],[f55,f578]) ).
thf(f16991,definition,
( spl0_337
<=> ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_337])],[avatar_definition]) ).
thf(f16992,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_337 ),
inference(avatar_component_clause,[],[f16991]) ).
thf(f17011,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f16856,f23]) ).
thf(f17021,plain,
( $false
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f17011,f27]) ).
thf(f17022,plain,
~ spl0_41,
inference(avatar_contradiction_clause,[],[f17021]) ).
thf(f17035,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true != $true ) )
| ~ spl0_9
| ~ spl0_55
| ~ spl0_69
| spl0_233 ),
inference(constrained_superposition,[],[f15382,f3832]) ).
thf(f17036,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z = X0 )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_9
| ~ spl0_55
| spl0_233 ),
inference(constrained_superposition,[],[f15382,f3831]) ).
thf(f17048,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_9
| ~ spl0_55
| ~ spl0_69
| spl0_233 ),
inference(trivial_inequality_removal,[],[f17035]) ).
thf(f17050,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_9
| ~ spl0_55
| spl0_233 ),
inference(trivial_inequality_removal,[],[f17036]) ).
thf(f17057,plain,
( spl0_108
| ~ spl0_9
| ~ spl0_55
| ~ spl0_69
| spl0_233 ),
inference(avatar_split_clause,[],[f17048,f13315,f2632,f933,f140,f6567]) ).
thf(f17059,plain,
( spl0_111
| ~ spl0_9
| ~ spl0_55
| spl0_233 ),
inference(avatar_split_clause,[],[f17050,f13315,f933,f140,f6591]) ).
thf(f17067,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_25
| ~ spl0_178 ),
inference(constrained_superposition,[],[f1723,f9761]) ).
thf(f17080,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_54
| ~ spl0_178 ),
inference(constrained_superposition,[],[f916,f9761]) ).
thf(f17085,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_25
| ~ spl0_178 ),
inference(trivial_inequality_removal,[],[f17067]) ).
thf(f17089,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_54
| ~ spl0_178 ),
inference(trivial_inequality_removal,[],[f17080]) ).
thf(f17100,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_54
| ~ spl0_178 ),
inference(forward_subsumption_resolution,[],[f17089,f24]) ).
thf(f17103,plain,
( spl0_217
| spl0_238
| ~ spl0_54
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f17100,f9760,f915,f13348,f11776]) ).
thf(f17158,plain,
( spl0_337
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f16091,f70,f16991]) ).
thf(f17171,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_230
| ~ spl0_337 ),
inference(constrained_superposition,[],[f16992,f13226]) ).
thf(f17178,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_230
| ~ spl0_337 ),
inference(trivial_inequality_removal,[],[f17171]) ).
thf(f17181,plain,
( $false
| ~ spl0_230
| ~ spl0_238
| ~ spl0_337 ),
inference(forward_subsumption_resolution,[],[f17178,f13349]) ).
thf(f17182,plain,
( ~ spl0_230
| ~ spl0_238
| ~ spl0_337 ),
inference(avatar_contradiction_clause,[],[f17181]) ).
thf(f17244,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_25
| spl0_87 ),
inference(constrained_superposition,[],[f16705,f334]) ).
thf(f17251,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_25
| spl0_87 ),
inference(trivial_inequality_removal,[],[f17244]) ).
thf(f17257,plain,
( $false
| ~ spl0_25
| spl0_80
| spl0_87 ),
inference(forward_subsumption_resolution,[],[f17251,f16708]) ).
thf(f17258,plain,
( ~ spl0_25
| spl0_80
| spl0_87 ),
inference(avatar_contradiction_clause,[],[f17257]) ).
thf(f17272,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_25
| ~ spl0_78 ),
inference(constrained_superposition,[],[f1723,f5622]) ).
thf(f17275,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_78 ),
inference(constrained_superposition,[],[f25,f5622]) ).
thf(f17277,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_78 ),
inference(trivial_inequality_removal,[],[f17275]) ).
thf(f17278,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_25
| ~ spl0_78 ),
inference(trivial_inequality_removal,[],[f17272]) ).
thf(f17311,plain,
( ~ spl0_13
| spl0_80
| ~ spl0_25
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f17278,f5621,f333,f5628,f205]) ).
thf(f17330,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_80 ),
inference(constrained_superposition,[],[f25,f5629]) ).
thf(f17331,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f17330]) ).
thf(f17336,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_238 ),
inference(constrained_superposition,[],[f25,f13349]) ).
thf(f17337,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_238 ),
inference(trivial_inequality_removal,[],[f17336]) ).
thf(f17341,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_87 ),
inference(constrained_superposition,[],[f25,f5655]) ).
thf(f17344,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_87 ),
inference(trivial_inequality_removal,[],[f17341]) ).
thf(f17349,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_212 ),
inference(constrained_superposition,[],[f25,f11745]) ).
thf(f17353,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_212 ),
inference(trivial_inequality_removal,[],[f17349]) ).
thf(f17354,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_25
| spl0_294 ),
inference(constrained_superposition,[],[f16283,f334]) ).
thf(f17357,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_25
| spl0_294 ),
inference(trivial_inequality_removal,[],[f17354]) ).
thf(f17361,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_76
| ~ spl0_78 ),
inference(constrained_superposition,[],[f17277,f5615]) ).
thf(f17362,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_78
| ~ spl0_81 ),
inference(constrained_superposition,[],[f17277,f5633]) ).
thf(f17371,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_78
| ~ spl0_81 ),
inference(trivial_inequality_removal,[],[f17362]) ).
thf(f17372,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_76
| ~ spl0_78 ),
inference(trivial_inequality_removal,[],[f17361]) ).
thf(f17380,plain,
( $false
| ~ spl0_12
| ~ spl0_78
| ~ spl0_81 ),
inference(forward_subsumption_resolution,[],[f17371,f202]) ).
thf(f17381,plain,
( ~ spl0_12
| ~ spl0_78
| ~ spl0_81 ),
inference(avatar_contradiction_clause,[],[f17380]) ).
thf(f17425,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_78
| ~ spl0_87 ),
inference(constrained_superposition,[],[f17344,f5622]) ).
thf(f17438,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_78
| ~ spl0_87 ),
inference(trivial_inequality_removal,[],[f17425]) ).
thf(f17443,plain,
( $false
| ~ spl0_13
| ~ spl0_78
| ~ spl0_87 ),
inference(forward_subsumption_resolution,[],[f17438,f206]) ).
thf(f17444,plain,
( ~ spl0_13
| ~ spl0_78
| ~ spl0_87 ),
inference(avatar_contradiction_clause,[],[f17443]) ).
thf(f17450,plain,
( spl0_230
| ~ spl0_13
| ~ spl0_25
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f17085,f9760,f333,f205,f13225]) ).
thf(f17452,plain,
( ~ spl0_1
| ~ spl0_76
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f17372,f5621,f5614,f70]) ).
thf(f17453,plain,
( spl0_230
| ~ spl0_25
| spl0_294 ),
inference(avatar_split_clause,[],[f17357,f15477,f333,f13225]) ).
thf(f17467,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_13 ),
inference(constrained_superposition,[],[f25,f206]) ).
thf(f17469,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f17467]) ).
thf(f17476,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_230 ),
inference(constrained_superposition,[],[f25,f13226]) ).
thf(f17477,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_230 ),
inference(trivial_inequality_removal,[],[f17476]) ).
thf(f17491,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_156 ),
inference(constrained_superposition,[],[f8147,f147]) ).
thf(f17505,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_156 ),
inference(trivial_inequality_removal,[],[f17491]) ).
thf(f17506,plain,
( ~ spl0_27
| spl0_162
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f17505,f8146,f8525,f339]) ).
thf(f17507,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_162
| ~ spl0_238 ),
inference(constrained_superposition,[],[f17337,f8526]) ).
thf(f17514,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_162
| ~ spl0_238 ),
inference(trivial_inequality_removal,[],[f17507]) ).
thf(f17517,plain,
( $false
| ~ spl0_12
| ~ spl0_162
| ~ spl0_238 ),
inference(forward_subsumption_resolution,[],[f17514,f202]) ).
thf(f17518,plain,
( ~ spl0_12
| ~ spl0_162
| ~ spl0_238 ),
inference(avatar_contradiction_clause,[],[f17517]) ).
thf(f17533,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ z )
= X0 )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 ) )
| ~ spl0_33 ),
inference(constrained_superposition,[],[f540,f26]) ).
thf(f17536,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_33 ),
inference(trivial_inequality_removal,[],[f17533]) ).
thf(f17539,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_221
| ~ spl0_230 ),
inference(constrained_superposition,[],[f17477,f12232]) ).
thf(f17550,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_221
| ~ spl0_230 ),
inference(trivial_inequality_removal,[],[f17539]) ).
thf(f17557,plain,
( $false
| ~ spl0_80
| ~ spl0_221
| ~ spl0_230 ),
inference(forward_subsumption_resolution,[],[f17550,f5629]) ).
thf(f17558,plain,
( ~ spl0_80
| ~ spl0_221
| ~ spl0_230 ),
inference(avatar_contradiction_clause,[],[f17557]) ).
thf(f17584,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_198 ),
inference(constrained_superposition,[],[f52,f11650]) ).
thf(f17594,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f17584]) ).
thf(f17610,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_198
| spl0_319 ),
inference(forward_subsumption_resolution,[],[f17594,f16679]) ).
thf(f17613,definition,
( spl0_344
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_344])],[avatar_definition]) ).
thf(f17614,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_344 ),
inference(avatar_component_clause,[],[f17613]) ).
thf(f17616,definition,
( spl0_345
<=> ! [X0: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_345])],[avatar_definition]) ).
thf(f17617,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 ) )
| ~ spl0_345 ),
inference(avatar_component_clause,[],[f17616]) ).
thf(f17620,definition,
( spl0_346
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_346])],[avatar_definition]) ).
thf(f17621,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_346 ),
inference(avatar_component_clause,[],[f17620]) ).
thf(f17625,definition,
( spl0_347
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_347])],[avatar_definition]) ).
thf(f17626,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_347 ),
inference(avatar_component_clause,[],[f17625]) ).
thf(f17629,plain,
( spl0_344
| ~ spl0_155
| ~ spl0_198
| spl0_319 ),
inference(avatar_split_clause,[],[f17610,f16678,f11649,f8133,f17613]) ).
thf(f17631,definition,
( spl0_348
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_348])],[avatar_definition]) ).
thf(f17632,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_348 ),
inference(avatar_component_clause,[],[f17631]) ).
thf(f17634,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_25
| ~ spl0_344 ),
inference(constrained_superposition,[],[f1723,f17614]) ).
thf(f17639,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_25
| ~ spl0_344 ),
inference(trivial_inequality_removal,[],[f17634]) ).
thf(f17642,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_346 ),
inference(constrained_superposition,[],[f17621,f33]) ).
thf(f17644,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_346 ),
inference(trivial_inequality_removal,[],[f17642]) ).
thf(f17650,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_348 ),
inference(constrained_superposition,[],[f17632,f55]) ).
thf(f17661,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_348 ),
inference(trivial_inequality_removal,[],[f17650]) ).
thf(f17664,plain,
( ~ spl0_6
| spl0_148
| ~ spl0_348 ),
inference(avatar_split_clause,[],[f17661,f17631,f8029,f115]) ).
thf(f17669,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_319 ),
inference(constrained_superposition,[],[f25,f16756]) ).
thf(f17670,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_319 ),
inference(trivial_inequality_removal,[],[f17669]) ).
thf(f17671,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_25
| spl0_208 ),
inference(constrained_superposition,[],[f13227,f334]) ).
thf(f17674,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_25
| spl0_208 ),
inference(trivial_inequality_removal,[],[f17671]) ).
thf(f17678,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_163
| ~ spl0_319 ),
inference(constrained_superposition,[],[f17670,f8541]) ).
thf(f17689,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_163
| ~ spl0_319 ),
inference(trivial_inequality_removal,[],[f17678]) ).
thf(f17697,plain,
( $false
| ~ spl0_12
| ~ spl0_163
| ~ spl0_319 ),
inference(forward_subsumption_resolution,[],[f17689,f202]) ).
thf(f17698,plain,
( ~ spl0_12
| ~ spl0_163
| ~ spl0_319 ),
inference(avatar_contradiction_clause,[],[f17697]) ).
thf(f17711,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_152 ),
inference(constrained_superposition,[],[f8088,f4409]) ).
thf(f17714,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_152 ),
inference(constrained_superposition,[],[f8088,f55]) ).
thf(f17722,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_152 ),
inference(trivial_inequality_removal,[],[f17711]) ).
thf(f17724,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_152 ),
inference(trivial_inequality_removal,[],[f17714]) ).
thf(f17728,plain,
( spl0_221
| ~ spl0_92
| ~ spl0_152 ),
inference(avatar_split_clause,[],[f17722,f8087,f6073,f12231]) ).
thf(f17729,plain,
( spl0_148
| ~ spl0_23
| ~ spl0_152 ),
inference(avatar_split_clause,[],[f17724,f8087,f283,f8029]) ).
thf(f17744,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_162 ),
inference(constrained_superposition,[],[f25,f8526]) ).
thf(f17746,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_162 ),
inference(trivial_inequality_removal,[],[f17744]) ).
thf(f17775,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_203
| ~ spl0_212 ),
inference(constrained_superposition,[],[f17353,f11667]) ).
thf(f17784,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_203
| ~ spl0_212 ),
inference(trivial_inequality_removal,[],[f17775]) ).
thf(f17794,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_203
| ~ spl0_212 ),
inference(constrained_superposition,[],[f17784,f495]) ).
thf(f17797,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ~ spl0_203
| ~ spl0_212 ),
inference(trivial_inequality_removal,[],[f17794]) ).
thf(f17799,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_203
| ~ spl0_212 ),
inference(forward_subsumption_resolution,[],[f17797,f24]) ).
thf(f17800,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_4
| ~ spl0_203
| ~ spl0_212 ),
inference(forward_subsumption_resolution,[],[f17799,f239]) ).
thf(f17801,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_4
| ~ spl0_203
| ~ spl0_212
| spl0_238 ),
inference(forward_subsumption_resolution,[],[f17800,f16684]) ).
thf(f17802,plain,
( spl0_178
| spl0_4
| ~ spl0_203
| ~ spl0_212
| spl0_238 ),
inference(avatar_split_clause,[],[f17801,f13348,f11744,f11666,f80,f9760]) ).
thf(f17844,definition,
( spl0_352
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_352])],[avatar_definition]) ).
thf(f17845,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_352 ),
inference(avatar_component_clause,[],[f17844]) ).
thf(f17847,definition,
( spl0_353
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_353])],[avatar_definition]) ).
thf(f17848,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_353 ),
inference(avatar_component_clause,[],[f17847]) ).
thf(f17852,definition,
( spl0_354
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_354])],[avatar_definition]) ).
thf(f17853,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| spl0_354 ),
inference(avatar_component_clause,[],[f17852]) ).
thf(f17855,definition,
( spl0_355
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_355])],[avatar_definition]) ).
thf(f17856,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_355 ),
inference(avatar_component_clause,[],[f17855]) ).
thf(f17859,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| spl0_354 ),
inference(constrained_superposition,[],[f17853,f55]) ).
thf(f17861,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| spl0_354 ),
inference(constrained_superposition,[],[f17853,f26]) ).
thf(f17862,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| spl0_354 ),
inference(trivial_inequality_removal,[],[f17861]) ).
thf(f17864,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| spl0_354 ),
inference(trivial_inequality_removal,[],[f17859]) ).
thf(f17865,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_353 ),
inference(constrained_superposition,[],[f17848,f4409]) ).
thf(f17867,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_353 ),
inference(constrained_superposition,[],[f17848,f53]) ).
thf(f17872,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_353 ),
inference(trivial_inequality_removal,[],[f17865]) ).
thf(f17873,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_353 ),
inference(trivial_inequality_removal,[],[f17867]) ).
thf(f17877,plain,
( spl0_207
| spl0_353 ),
inference(avatar_split_clause,[],[f17872,f17847,f11726]) ).
thf(f17878,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_98
| spl0_353 ),
inference(forward_subsumption_resolution,[],[f17873,f11543]) ).
thf(f17880,plain,
( spl0_207
| spl0_98
| spl0_353 ),
inference(avatar_split_clause,[],[f17878,f17847,f6100,f11726]) ).
thf(f17881,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_162
| ~ spl0_193 ),
inference(constrained_superposition,[],[f17746,f11615]) ).
thf(f17887,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_162
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f17881]) ).
thf(f17892,definition,
( spl0_356
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_356])],[avatar_definition]) ).
thf(f17893,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_356 ),
inference(avatar_component_clause,[],[f17892]) ).
thf(f17897,definition,
( spl0_357
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_357])],[avatar_definition]) ).
thf(f17898,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_357 ),
inference(avatar_component_clause,[],[f17897]) ).
thf(f17908,definition,
( spl0_359
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_359])],[avatar_definition]) ).
thf(f17909,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ z ) )
| ~ spl0_359 ),
inference(avatar_component_clause,[],[f17908]) ).
thf(f17914,definition,
( spl0_360
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_360])],[avatar_definition]) ).
thf(f17915,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_360 ),
inference(avatar_component_clause,[],[f17914]) ).
thf(f17916,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_356 ),
inference(avatar_component_clause,[],[f17892]) ).
thf(f17918,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_356 ),
inference(constrained_superposition,[],[f25,f17916]) ).
thf(f17919,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_356 ),
inference(trivial_inequality_removal,[],[f17918]) ).
thf(f17920,plain,
( ~ spl0_357
| ~ spl0_162
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f17887,f11614,f8525,f17897]) ).
thf(f17921,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_25
| spl0_357 ),
inference(constrained_superposition,[],[f17898,f334]) ).
thf(f17924,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_25
| spl0_357 ),
inference(trivial_inequality_removal,[],[f17921]) ).
thf(f17930,definition,
( spl0_361
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_361])],[avatar_definition]) ).
thf(f17931,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_361 ),
inference(avatar_component_clause,[],[f17930]) ).
thf(f17939,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_25
| spl0_357 ),
inference(constrained_superposition,[],[f458,f17924]) ).
thf(f17943,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_25
| spl0_357 ),
inference(trivial_inequality_removal,[],[f17939]) ).
thf(f17946,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_25
| ~ spl0_356
| spl0_357 ),
inference(forward_subsumption_resolution,[],[f17943,f17916]) ).
thf(f17947,plain,
( spl0_44
| ~ spl0_25
| ~ spl0_356
| spl0_357 ),
inference(avatar_split_clause,[],[f17946,f17897,f17892,f333,f612]) ).
thf(f17963,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_192 ),
inference(constrained_superposition,[],[f6053,f11612]) ).
thf(f17984,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f17963]) ).
thf(f17994,definition,
( spl0_363
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_363])],[avatar_definition]) ).
thf(f17995,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_363 ),
inference(avatar_component_clause,[],[f17994]) ).
thf(f17997,definition,
( spl0_364
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_364])],[avatar_definition]) ).
thf(f17998,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_364 ),
inference(avatar_component_clause,[],[f17997]) ).
thf(f18001,definition,
( spl0_365
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_365])],[avatar_definition]) ).
thf(f18002,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_365 ),
inference(avatar_component_clause,[],[f18001]) ).
thf(f18004,definition,
( spl0_366
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_366])],[avatar_definition]) ).
thf(f18005,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_366 ),
inference(avatar_component_clause,[],[f18004]) ).
thf(f18008,definition,
( spl0_367
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_367])],[avatar_definition]) ).
thf(f18009,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| spl0_367 ),
inference(avatar_component_clause,[],[f18008]) ).
thf(f18012,definition,
( spl0_368
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_368])],[avatar_definition]) ).
thf(f18013,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_368 ),
inference(avatar_component_clause,[],[f18012]) ).
thf(f18014,plain,
( spl0_215
| ~ spl0_209
| spl0_368
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f17984,f11611,f18012,f11734,f11757]) ).
thf(f18024,definition,
( spl0_371
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_371])],[avatar_definition]) ).
thf(f18025,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_371 ),
inference(avatar_component_clause,[],[f18024]) ).
thf(f18027,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| spl0_367 ),
inference(constrained_superposition,[],[f18009,f33]) ).
thf(f18029,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| spl0_367 ),
inference(trivial_inequality_removal,[],[f18027]) ).
thf(f18031,plain,
( spl0_360
| spl0_367 ),
inference(avatar_split_clause,[],[f18029,f18008,f17914]) ).
thf(f18034,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_25
| ~ spl0_360 ),
inference(constrained_superposition,[],[f1723,f17915]) ).
thf(f18040,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_25
| ~ spl0_360 ),
inference(trivial_inequality_removal,[],[f18034]) ).
thf(f18054,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_25
| ~ spl0_195 ),
inference(constrained_superposition,[],[f1723,f11622]) ).
thf(f18062,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_25
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f18054]) ).
thf(f18070,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_198
| ~ spl0_215 ),
inference(constrained_superposition,[],[f11758,f11650]) ).
thf(f18075,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_215 ),
inference(constrained_superposition,[],[f11758,f55]) ).
thf(f18077,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_215 ),
inference(constrained_superposition,[],[f11758,f33]) ).
thf(f18084,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_198
| ~ spl0_215 ),
inference(trivial_inequality_removal,[],[f18070]) ).
thf(f18085,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_215 ),
inference(trivial_inequality_removal,[],[f18075]) ).
thf(f18086,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_215 ),
inference(trivial_inequality_removal,[],[f18077]) ).
thf(f18090,plain,
( ~ spl0_353
| ~ spl0_198
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f18084,f11757,f11649,f17847]) ).
thf(f18091,plain,
( ~ spl0_101
| spl0_148
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f18085,f11757,f8029,f6170]) ).
thf(f18092,plain,
( ~ spl0_235
| spl0_178
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f18086,f11757,f9760,f13333]) ).
thf(f18093,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_76
| ~ spl0_216 ),
inference(constrained_superposition,[],[f15277,f11761]) ).
thf(f18094,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_78
| ~ spl0_216 ),
inference(constrained_superposition,[],[f17277,f11761]) ).
thf(f18102,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_78
| ~ spl0_216 ),
inference(trivial_inequality_removal,[],[f18094]) ).
thf(f18103,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_76
| ~ spl0_216 ),
inference(trivial_inequality_removal,[],[f18093]) ).
thf(f18109,plain,
( $false
| ~ spl0_76
| ~ spl0_214
| ~ spl0_216 ),
inference(forward_subsumption_resolution,[],[f18103,f11753]) ).
thf(f18110,plain,
( ~ spl0_76
| ~ spl0_214
| ~ spl0_216 ),
inference(avatar_contradiction_clause,[],[f18109]) ).
thf(f18115,plain,
( ~ spl0_319
| ~ spl0_78
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f18102,f11760,f5621,f16678]) ).
thf(f18117,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_13
| ~ spl0_25
| ~ spl0_344 ),
inference(forward_subsumption_resolution,[],[f17639,f206]) ).
thf(f18119,plain,
( spl0_214
| ~ spl0_25
| spl0_208 ),
inference(avatar_split_clause,[],[f17674,f11730,f333,f11752]) ).
thf(f18120,plain,
( spl0_214
| ~ spl0_13
| ~ spl0_25
| ~ spl0_344 ),
inference(avatar_split_clause,[],[f18117,f17613,f333,f205,f11752]) ).
thf(f18121,plain,
( spl0_344
| spl0_346 ),
inference(avatar_split_clause,[],[f17644,f17620,f17613]) ).
thf(f18130,definition,
( spl0_373
<=> ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_373])],[avatar_definition]) ).
thf(f18131,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_373 ),
inference(avatar_component_clause,[],[f18130]) ).
thf(f18135,definition,
( spl0_374
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_374])],[avatar_definition]) ).
thf(f18136,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_374 ),
inference(avatar_component_clause,[],[f18135]) ).
thf(f18138,plain,
( spl0_212
| spl0_354 ),
inference(avatar_split_clause,[],[f17864,f17852,f11744]) ).
thf(f18140,plain,
( spl0_222
| spl0_212
| spl0_354 ),
inference(avatar_split_clause,[],[f17862,f17852,f11744,f12431]) ).
thf(f18145,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_148 ),
inference(constrained_superposition,[],[f25,f8030]) ).
thf(f18149,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_148 ),
inference(trivial_inequality_removal,[],[f18145]) ).
thf(f18188,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_156 ),
inference(constrained_superposition,[],[f8147,f33]) ).
thf(f18195,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_156 ),
inference(trivial_inequality_removal,[],[f18188]) ).
thf(f18200,plain,
( ~ spl0_8
| spl0_178
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f18195,f8146,f9760,f137]) ).
thf(f18223,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_148
| ~ spl0_199 ),
inference(constrained_superposition,[],[f18149,f11653]) ).
thf(f18224,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_162
| ~ spl0_199 ),
inference(constrained_superposition,[],[f17746,f11653]) ).
thf(f18231,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_162
| ~ spl0_199 ),
inference(trivial_inequality_removal,[],[f18224]) ).
thf(f18232,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_148
| ~ spl0_199 ),
inference(trivial_inequality_removal,[],[f18223]) ).
thf(f18236,plain,
( $false
| ~ spl0_148
| ~ spl0_199
| ~ spl0_214 ),
inference(forward_subsumption_resolution,[],[f18232,f11753]) ).
thf(f18237,plain,
( ~ spl0_148
| ~ spl0_199
| ~ spl0_214 ),
inference(avatar_contradiction_clause,[],[f18236]) ).
thf(f18241,plain,
( ~ spl0_208
| ~ spl0_162
| ~ spl0_199 ),
inference(avatar_split_clause,[],[f18231,f11652,f8525,f11730]) ).
thf(f18244,definition,
( spl0_376
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_376])],[avatar_definition]) ).
thf(f18245,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_376 ),
inference(avatar_component_clause,[],[f18244]) ).
thf(f18247,definition,
( spl0_377
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_377])],[avatar_definition]) ).
thf(f18248,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_377 ),
inference(avatar_component_clause,[],[f18247]) ).
thf(f18252,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_13
| ~ spl0_25
| ~ spl0_360 ),
inference(forward_subsumption_resolution,[],[f18040,f206]) ).
thf(f18254,definition,
( spl0_378
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_378])],[avatar_definition]) ).
thf(f18255,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_378 ),
inference(avatar_component_clause,[],[f18254]) ).
thf(f18257,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_25
| ~ spl0_195
| ~ spl0_294 ),
inference(forward_subsumption_resolution,[],[f18062,f15478]) ).
thf(f18259,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_357 ),
inference(avatar_component_clause,[],[f17897]) ).
thf(f18261,plain,
( spl0_378
| ~ spl0_13
| ~ spl0_25
| ~ spl0_360 ),
inference(avatar_split_clause,[],[f18252,f17914,f333,f205,f18254]) ).
thf(f18262,plain,
( spl0_378
| ~ spl0_25
| ~ spl0_195
| ~ spl0_294 ),
inference(avatar_split_clause,[],[f18257,f15477,f11621,f333,f18254]) ).
thf(f18267,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_230 ),
inference(constrained_superposition,[],[f25,f13226]) ).
thf(f18272,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_230 ),
inference(trivial_inequality_removal,[],[f18267]) ).
thf(f18302,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_178 ),
inference(constrained_superposition,[],[f25,f9761]) ).
thf(f18306,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_178 ),
inference(trivial_inequality_removal,[],[f18302]) ).
thf(f18336,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_162
| ~ spl0_178 ),
inference(constrained_superposition,[],[f18306,f8526]) ).
thf(f18352,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_162
| ~ spl0_178 ),
inference(trivial_inequality_removal,[],[f18336]) ).
thf(f18353,plain,
( $false
| ~ spl0_12
| ~ spl0_162
| ~ spl0_178 ),
inference(forward_subsumption_resolution,[],[f18352,f202]) ).
thf(f18354,plain,
( ~ spl0_12
| ~ spl0_162
| ~ spl0_178 ),
inference(avatar_contradiction_clause,[],[f18353]) ).
thf(f18447,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_249
| spl0_319 ),
inference(constrained_superposition,[],[f16679,f13954]) ).
thf(f18453,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_249
| spl0_319 ),
inference(trivial_inequality_removal,[],[f18447]) ).
thf(f18456,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_249
| spl0_319 ),
inference(forward_subsumption_resolution,[],[f18453,f24]) ).
thf(f18458,plain,
( spl0_222
| spl0_219
| ~ spl0_249
| spl0_319 ),
inference(avatar_split_clause,[],[f18456,f16678,f13953,f11991,f12431]) ).
thf(f18474,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_43
| ~ spl0_319 ),
inference(constrained_superposition,[],[f607,f16756]) ).
thf(f18475,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_319 ),
inference(constrained_superposition,[],[f25,f16756]) ).
thf(f18476,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_319 ),
inference(trivial_inequality_removal,[],[f18475]) ).
thf(f18477,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_43
| ~ spl0_319 ),
inference(trivial_inequality_removal,[],[f18474]) ).
thf(f18478,plain,
( spl0_214
| ~ spl0_43
| ~ spl0_319 ),
inference(avatar_split_clause,[],[f18477,f16678,f606,f11752]) ).
thf(f18547,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_356
| ~ spl0_377 ),
inference(constrained_superposition,[],[f17919,f18248]) ).
thf(f18552,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_356
| ~ spl0_377 ),
inference(trivial_inequality_removal,[],[f18547]) ).
thf(f18557,plain,
( $false
| ~ spl0_12
| ~ spl0_356
| ~ spl0_377 ),
inference(forward_subsumption_resolution,[],[f18552,f202]) ).
thf(f18558,plain,
( ~ spl0_12
| ~ spl0_356
| ~ spl0_377 ),
inference(avatar_contradiction_clause,[],[f18557]) ).
thf(f18560,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_159
| ~ spl0_357 ),
inference(constrained_superposition,[],[f8507,f18259]) ).
thf(f18564,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_159
| ~ spl0_357 ),
inference(trivial_inequality_removal,[],[f18560]) ).
thf(f18576,plain,
( ~ spl0_356
| ~ spl0_159
| ~ spl0_357 ),
inference(avatar_split_clause,[],[f18564,f17897,f8506,f17892]) ).
thf(f18582,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_348 ),
inference(constrained_superposition,[],[f17632,f4409]) ).
thf(f18583,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_348 ),
inference(constrained_superposition,[],[f17632,f147]) ).
thf(f18591,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_348 ),
inference(trivial_inequality_removal,[],[f18583]) ).
thf(f18597,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_348 ),
inference(trivial_inequality_removal,[],[f18582]) ).
thf(f18618,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_207
| ~ spl0_319 ),
inference(constrained_superposition,[],[f18476,f11727]) ).
thf(f18627,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_207
| ~ spl0_319 ),
inference(trivial_inequality_removal,[],[f18618]) ).
thf(f18638,plain,
( spl0_221
| ~ spl0_84
| ~ spl0_348 ),
inference(avatar_split_clause,[],[f18597,f17631,f5642,f12231]) ).
thf(f18639,plain,
( spl0_162
| ~ spl0_28
| ~ spl0_348 ),
inference(avatar_split_clause,[],[f18591,f17631,f343,f8525]) ).
thf(f18644,plain,
( spl0_233
| spl0_78
| spl0_178
| spl0_221
| spl0_104 ),
inference(avatar_split_clause,[],[f11626,f6302,f12231,f9760,f5621,f13315]) ).
thf(f18646,plain,
( ~ spl0_233
| ~ spl0_207
| ~ spl0_319 ),
inference(avatar_split_clause,[],[f18627,f16678,f11726,f13315]) ).
thf(f18663,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_178 ),
inference(constrained_superposition,[],[f25,f9761]) ).
thf(f18664,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_178 ),
inference(trivial_inequality_removal,[],[f18663]) ).
thf(f18673,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_81 ),
inference(constrained_superposition,[],[f25,f5633]) ).
thf(f18678,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_81 ),
inference(trivial_inequality_removal,[],[f18673]) ).
thf(f18717,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
!= $true ) )
| ~ spl0_81 ),
inference(constrained_superposition,[],[f18678,f495]) ).
thf(f18727,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_81 ),
inference(trivial_inequality_removal,[],[f18717]) ).
thf(f18731,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) )
| ~ spl0_81
| ~ spl0_159 ),
inference(forward_subsumption_resolution,[],[f18727,f8507]) ).
thf(f18734,definition,
( spl0_381
<=> ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_381])],[avatar_definition]) ).
thf(f18735,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_381 ),
inference(avatar_component_clause,[],[f18734]) ).
thf(f18736,plain,
( spl0_78
| spl0_381
| ~ spl0_81
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f18731,f8506,f5632,f18734,f5621]) ).
thf(f18787,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_80
| ~ spl0_368 ),
inference(constrained_superposition,[],[f17331,f18013]) ).
thf(f18794,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_80
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f18787]) ).
thf(f18798,plain,
( $false
| ~ spl0_80
| ~ spl0_368
| ~ spl0_378 ),
inference(forward_subsumption_resolution,[],[f18794,f18255]) ).
thf(f18799,plain,
( ~ spl0_80
| ~ spl0_368
| ~ spl0_378 ),
inference(avatar_contradiction_clause,[],[f18798]) ).
thf(f18806,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_152
| ~ spl0_198 ),
inference(constrained_superposition,[],[f8088,f11650]) ).
thf(f18822,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_152
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f18806]) ).
thf(f18825,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_152
| ~ spl0_198 ),
inference(constrained_superposition,[],[f18822,f147]) ).
thf(f18831,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_152
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f18825]) ).
thf(f18835,plain,
( spl0_163
| ~ spl0_152
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f18831,f11649,f8087,f8540]) ).
thf(f18860,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_378 ),
inference(avatar_component_clause,[],[f18254]) ).
thf(f18973,plain,
( spl0_159
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f17469,f205,f8506]) ).
thf(f18997,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_15 ),
inference(constrained_superposition,[],[f25,f213]) ).
thf(f19001,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f18997]) ).
thf(f19078,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_15
| ~ spl0_357 ),
inference(constrained_superposition,[],[f19001,f18259]) ).
thf(f19084,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_15
| ~ spl0_357 ),
inference(trivial_inequality_removal,[],[f19078]) ).
thf(f19088,plain,
( $false
| ~ spl0_15
| ~ spl0_357
| ~ spl0_378 ),
inference(forward_subsumption_resolution,[],[f19084,f18255]) ).
thf(f19089,plain,
( ~ spl0_15
| ~ spl0_357
| ~ spl0_378 ),
inference(avatar_contradiction_clause,[],[f19088]) ).
thf(f19111,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_199
| ~ spl0_230 ),
inference(constrained_superposition,[],[f18272,f11653]) ).
thf(f19112,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_178
| ~ spl0_199 ),
inference(constrained_superposition,[],[f18664,f11653]) ).
thf(f19117,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_199
| ~ spl0_230 ),
inference(trivial_inequality_removal,[],[f19111]) ).
thf(f19120,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_178
| ~ spl0_199 ),
inference(trivial_inequality_removal,[],[f19112]) ).
thf(f19123,plain,
( $false
| ~ spl0_199
| ~ spl0_214
| ~ spl0_230 ),
inference(forward_subsumption_resolution,[],[f19117,f11753]) ).
thf(f19124,plain,
( ~ spl0_199
| ~ spl0_214
| ~ spl0_230 ),
inference(avatar_contradiction_clause,[],[f19123]) ).
thf(f19130,plain,
( ~ spl0_319
| ~ spl0_178
| ~ spl0_199 ),
inference(avatar_split_clause,[],[f19120,f11652,f9760,f16678]) ).
thf(f19134,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_199
| ~ spl0_230 ),
inference(constrained_superposition,[],[f19117,f495]) ).
thf(f19136,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_199
| ~ spl0_230 ),
inference(trivial_inequality_removal,[],[f19134]) ).
thf(f19138,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ~ spl0_199
| ~ spl0_230
| spl0_319 ),
inference(forward_subsumption_resolution,[],[f19136,f16679]) ).
thf(f19140,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ~ spl0_199
| ~ spl0_230
| spl0_319 ),
inference(forward_subsumption_resolution,[],[f19138,f24]) ).
thf(f19141,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_4
| ~ spl0_199
| ~ spl0_230
| spl0_319 ),
inference(forward_subsumption_resolution,[],[f19140,f239]) ).
thf(f19142,plain,
( spl0_344
| spl0_4
| ~ spl0_199
| ~ spl0_230
| spl0_319 ),
inference(avatar_split_clause,[],[f19141,f16678,f13225,f11652,f80,f17613]) ).
thf(f19189,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_344 ),
inference(constrained_superposition,[],[f25,f17614]) ).
thf(f19191,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_344 ),
inference(trivial_inequality_removal,[],[f19189]) ).
thf(f19266,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_214 ),
inference(avatar_component_clause,[],[f11752]) ).
thf(f19299,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_25
| spl0_357 ),
inference(constrained_superposition,[],[f17898,f334]) ).
thf(f19304,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_25
| spl0_357 ),
inference(trivial_inequality_removal,[],[f19299]) ).
thf(f19312,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_360 ),
inference(constrained_superposition,[],[f25,f17915]) ).
thf(f19315,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_360 ),
inference(trivial_inequality_removal,[],[f19312]) ).
thf(f19404,definition,
( spl0_386
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_386])],[avatar_definition]) ).
thf(f19405,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_386 ),
inference(avatar_component_clause,[],[f19404]) ).
thf(f19407,definition,
( spl0_387
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_387])],[avatar_definition]) ).
thf(f19408,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_387 ),
inference(avatar_component_clause,[],[f19407]) ).
thf(f19414,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| spl0_387 ),
inference(constrained_superposition,[],[f19408,f147]) ).
thf(f19416,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_387 ),
inference(constrained_superposition,[],[f19408,f34]) ).
thf(f19419,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_387 ),
inference(trivial_inequality_removal,[],[f19414]) ).
thf(f19421,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_387 ),
inference(trivial_inequality_removal,[],[f19416]) ).
thf(f19423,plain,
( spl0_163
| spl0_387 ),
inference(avatar_split_clause,[],[f19419,f19407,f8540]) ).
thf(f19425,plain,
( spl0_217
| spl0_163
| spl0_387 ),
inference(avatar_split_clause,[],[f19421,f19407,f8540,f11776]) ).
thf(f19426,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_203
| ~ spl0_344 ),
inference(constrained_superposition,[],[f19191,f11667]) ).
thf(f19431,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_203
| ~ spl0_344 ),
inference(trivial_inequality_removal,[],[f19426]) ).
thf(f19436,plain,
( $false
| ~ spl0_203
| ~ spl0_238
| ~ spl0_344 ),
inference(forward_subsumption_resolution,[],[f19431,f13349]) ).
thf(f19437,plain,
( ~ spl0_203
| ~ spl0_238
| ~ spl0_344 ),
inference(avatar_contradiction_clause,[],[f19436]) ).
thf(f19498,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_193
| ~ spl0_230 ),
inference(constrained_superposition,[],[f18272,f11615]) ).
thf(f19499,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_178
| ~ spl0_193 ),
inference(constrained_superposition,[],[f18664,f11615]) ).
thf(f19504,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_178
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f19499]) ).
thf(f19509,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_193
| ~ spl0_230 ),
inference(trivial_inequality_removal,[],[f19498]) ).
thf(f19512,plain,
( spl0_378
| ~ spl0_25
| spl0_357 ),
inference(avatar_split_clause,[],[f19304,f17897,f333,f18254]) ).
thf(f19513,plain,
( ~ spl0_378
| ~ spl0_193
| ~ spl0_230 ),
inference(avatar_split_clause,[],[f19509,f13225,f11614,f18254]) ).
thf(f19532,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_194 ),
inference(constrained_superposition,[],[f107,f11619]) ).
thf(f19535,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_194 ),
inference(constrained_superposition,[],[f52,f11619]) ).
thf(f19537,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_194 ),
inference(constrained_superposition,[],[f40,f11619]) ).
thf(f19547,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f19537]) ).
thf(f19550,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f19532]) ).
thf(f19557,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f19535]) ).
thf(f19560,definition,
( spl0_388
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_388])],[avatar_definition]) ).
thf(f19561,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_388 ),
inference(avatar_component_clause,[],[f19560]) ).
thf(f19563,definition,
( spl0_389
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_389])],[avatar_definition]) ).
thf(f19564,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_389 ),
inference(avatar_component_clause,[],[f19563]) ).
thf(f19576,definition,
( spl0_392
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_392])],[avatar_definition]) ).
thf(f19577,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_392 ),
inference(avatar_component_clause,[],[f19576]) ).
thf(f19579,definition,
( spl0_393
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_393])],[avatar_definition]) ).
thf(f19580,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_393 ),
inference(avatar_component_clause,[],[f19579]) ).
thf(f19583,definition,
( spl0_394
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_394])],[avatar_definition]) ).
thf(f19584,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_394 ),
inference(avatar_component_clause,[],[f19583]) ).
thf(f19588,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| spl0_389 ),
inference(constrained_superposition,[],[f19564,f34]) ).
thf(f19589,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| spl0_389 ),
inference(constrained_superposition,[],[f19564,f26]) ).
thf(f19590,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ z ) ) )
| spl0_389 ),
inference(trivial_inequality_removal,[],[f19589]) ).
thf(f19592,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_389 ),
inference(trivial_inequality_removal,[],[f19588]) ).
thf(f19594,plain,
( spl0_361
| spl0_377
| spl0_389 ),
inference(avatar_split_clause,[],[f19590,f19563,f18247,f17930]) ).
thf(f19596,plain,
( spl0_377
| spl0_222
| spl0_389 ),
inference(avatar_split_clause,[],[f19592,f19563,f12431,f18247]) ).
thf(f19598,plain,
( ~ spl0_356
| ~ spl0_178
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f19504,f11614,f9760,f17892]) ).
thf(f19604,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_392 ),
inference(constrained_superposition,[],[f19577,f4409]) ).
thf(f19607,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| spl0_392 ),
inference(constrained_superposition,[],[f19577,f34]) ).
thf(f19612,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_392 ),
inference(trivial_inequality_removal,[],[f19604]) ).
thf(f19613,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| spl0_392 ),
inference(trivial_inequality_removal,[],[f19607]) ).
thf(f19620,plain,
( spl0_366
| spl0_392 ),
inference(avatar_split_clause,[],[f19612,f19576,f18004]) ).
thf(f19621,plain,
( spl0_219
| spl0_366
| spl0_392 ),
inference(avatar_split_clause,[],[f19613,f19576,f18004,f11991]) ).
thf(f19622,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_360
| ~ spl0_366 ),
inference(constrained_superposition,[],[f19315,f18005]) ).
thf(f19629,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_360
| ~ spl0_366 ),
inference(trivial_inequality_removal,[],[f19622]) ).
thf(f19634,plain,
( $false
| ~ spl0_233
| ~ spl0_360
| ~ spl0_366 ),
inference(forward_subsumption_resolution,[],[f19629,f13316]) ).
thf(f19635,plain,
( ~ spl0_233
| ~ spl0_360
| ~ spl0_366 ),
inference(avatar_contradiction_clause,[],[f19634]) ).
thf(f19639,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_165
| ~ spl0_202 ),
inference(constrained_superposition,[],[f8592,f11664]) ).
thf(f19640,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_165 ),
inference(constrained_superposition,[],[f8592,f4409]) ).
thf(f19643,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_165 ),
inference(constrained_superposition,[],[f8592,f55]) ).
thf(f19651,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_165
| ~ spl0_202 ),
inference(trivial_inequality_removal,[],[f19639]) ).
thf(f19652,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_165 ),
inference(trivial_inequality_removal,[],[f19643]) ).
thf(f19655,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_165 ),
inference(trivial_inequality_removal,[],[f19640]) ).
thf(f19657,plain,
( ~ spl0_151
| ~ spl0_165
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f19651,f11663,f8591,f8084]) ).
thf(f19658,plain,
( spl0_212
| ~ spl0_23
| ~ spl0_165 ),
inference(avatar_split_clause,[],[f19652,f8591,f283,f11744]) ).
thf(f19659,plain,
( ~ spl0_92
| spl0_207
| ~ spl0_165 ),
inference(avatar_split_clause,[],[f19655,f8591,f11726,f6073]) ).
thf(f19660,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_163
| ~ spl0_344 ),
inference(constrained_superposition,[],[f19191,f8541]) ).
thf(f19664,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_163 ),
inference(constrained_superposition,[],[f25,f8541]) ).
thf(f19665,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_163 ),
inference(trivial_inequality_removal,[],[f19664]) ).
thf(f19667,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_163
| ~ spl0_344 ),
inference(trivial_inequality_removal,[],[f19660]) ).
thf(f19694,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_162
| ~ spl0_230 ),
inference(constrained_superposition,[],[f18272,f8526]) ).
thf(f19705,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_162
| ~ spl0_230 ),
inference(trivial_inequality_removal,[],[f19694]) ).
thf(f19706,plain,
( $false
| ~ spl0_15
| ~ spl0_162
| ~ spl0_230 ),
inference(forward_subsumption_resolution,[],[f19705,f213]) ).
thf(f19707,plain,
( ~ spl0_15
| ~ spl0_162
| ~ spl0_230 ),
inference(avatar_contradiction_clause,[],[f19706]) ).
thf(f19765,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_2
| ~ spl0_192 ),
inference(constrained_superposition,[],[f91,f11612]) ).
thf(f19766,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_192 ),
inference(constrained_superposition,[],[f5608,f11612]) ).
thf(f19768,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_192 ),
inference(constrained_superposition,[],[f330,f11612]) ).
thf(f19775,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_192 ),
inference(constrained_superposition,[],[f40,f11612]) ).
thf(f19781,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f19768]) ).
thf(f19785,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f19766]) ).
thf(f19791,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f19775]) ).
thf(f19796,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_2
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f19765]) ).
thf(f19798,plain,
( spl0_365
| spl0_366
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f19785,f11611,f18004,f18001]) ).
thf(f19824,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_192
| ~ spl0_215 ),
inference(constrained_superposition,[],[f11758,f11612]) ).
thf(f19826,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_215 ),
inference(constrained_superposition,[],[f11758,f147]) ).
thf(f19834,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_215 ),
inference(trivial_inequality_removal,[],[f19826]) ).
thf(f19842,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_192
| ~ spl0_215 ),
inference(trivial_inequality_removal,[],[f19824]) ).
thf(f19843,plain,
( ~ spl0_100
| spl0_162
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f19834,f11757,f8525,f6166]) ).
thf(f19844,plain,
( ~ spl0_392
| ~ spl0_192
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f19842,f11757,f11611,f19576]) ).
thf(f19849,plain,
( spl0_356
| spl0_348
| ~ spl0_155
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f19791,f11611,f8133,f17631,f17892]) ).
thf(f19863,plain,
( spl0_238
| ~ spl0_367
| spl0_178
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f19557,f11618,f9760,f18008,f13348]) ).
thf(f19867,plain,
( ~ spl0_12
| ~ spl0_163
| ~ spl0_344 ),
inference(avatar_split_clause,[],[f19667,f17613,f8540,f201]) ).
thf(f19874,definition,
( spl0_397
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_397])],[avatar_definition]) ).
thf(f19875,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_397 ),
inference(avatar_component_clause,[],[f19874]) ).
thf(f19876,plain,
( spl0_238
| ~ spl0_367
| spl0_397
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f19547,f11618,f19874,f18008,f13348]) ).
thf(f19902,definition,
( spl0_398
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_398])],[avatar_definition]) ).
thf(f19903,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| spl0_398 ),
inference(avatar_component_clause,[],[f19902]) ).
thf(f19905,definition,
( spl0_399
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_399])],[avatar_definition]) ).
thf(f19906,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_399 ),
inference(avatar_component_clause,[],[f19905]) ).
thf(f19907,plain,
( spl0_230
| ~ spl0_398
| spl0_399
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f19550,f11618,f19905,f19902,f13225]) ).
thf(f19914,plain,
( spl0_148
| spl0_178
| ~ spl0_367
| ~ spl0_2
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f19796,f11611,f73,f18008,f9760,f8029]) ).
thf(f19934,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f25,f223]) ).
thf(f19935,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f19934]) ).
thf(f19948,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_78 ),
inference(constrained_superposition,[],[f25,f5622]) ).
thf(f19949,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_78 ),
inference(trivial_inequality_removal,[],[f19948]) ).
thf(f19962,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_238 ),
inference(constrained_superposition,[],[f25,f13349]) ).
thf(f19963,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_238 ),
inference(trivial_inequality_removal,[],[f19962]) ).
thf(f19981,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_319 ),
inference(constrained_superposition,[],[f25,f16756]) ).
thf(f19982,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_319 ),
inference(trivial_inequality_removal,[],[f19981]) ).
thf(f20008,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_214
| ~ spl0_337 ),
inference(constrained_superposition,[],[f16992,f11753]) ).
thf(f20012,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_214
| ~ spl0_337 ),
inference(trivial_inequality_removal,[],[f20008]) ).
thf(f20018,plain,
( $false
| ~ spl0_214
| ~ spl0_319
| ~ spl0_337 ),
inference(forward_subsumption_resolution,[],[f20012,f16756]) ).
thf(f20019,plain,
( ~ spl0_214
| ~ spl0_319
| ~ spl0_337 ),
inference(avatar_contradiction_clause,[],[f20018]) ).
thf(f20045,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_78
| ~ spl0_368 ),
inference(constrained_superposition,[],[f19949,f18013]) ).
thf(f20060,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_78
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f20045]) ).
thf(f20064,plain,
( $false
| ~ spl0_78
| ~ spl0_356
| ~ spl0_368 ),
inference(forward_subsumption_resolution,[],[f20060,f17916]) ).
thf(f20065,plain,
( ~ spl0_78
| ~ spl0_356
| ~ spl0_368 ),
inference(avatar_contradiction_clause,[],[f20064]) ).
thf(f20076,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| spl0_398 ),
inference(constrained_superposition,[],[f19903,f26]) ).
thf(f20079,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| spl0_398 ),
inference(trivial_inequality_removal,[],[f20076]) ).
thf(f20082,plain,
( spl0_364
| spl0_359
| spl0_398 ),
inference(avatar_split_clause,[],[f20079,f19902,f17908,f17997]) ).
thf(f20086,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_221 ),
inference(constrained_superposition,[],[f25,f12232]) ).
thf(f20088,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_221 ),
inference(trivial_inequality_removal,[],[f20086]) ).
thf(f20093,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_221
| ~ spl0_238 ),
inference(constrained_superposition,[],[f19963,f12232]) ).
thf(f20111,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_221
| ~ spl0_238 ),
inference(trivial_inequality_removal,[],[f20093]) ).
thf(f20112,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_233
| ~ spl0_247 ),
inference(constrained_superposition,[],[f15382,f13931]) ).
thf(f20115,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| spl0_233
| ~ spl0_247 ),
inference(trivial_inequality_removal,[],[f20112]) ).
thf(f20116,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| spl0_233
| ~ spl0_247 ),
inference(forward_subsumption_resolution,[],[f20115,f24]) ).
thf(f20117,plain,
( $false
| spl0_104
| spl0_233
| ~ spl0_247 ),
inference(forward_subsumption_resolution,[],[f20116,f11557]) ).
thf(f20118,plain,
( spl0_104
| spl0_233
| ~ spl0_247 ),
inference(avatar_contradiction_clause,[],[f20117]) ).
thf(f20141,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_156
| ~ spl0_192 ),
inference(constrained_superposition,[],[f8147,f11612]) ).
thf(f20157,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_156
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f20141]) ).
thf(f20159,plain,
( ~ spl0_398
| ~ spl0_156
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f20157,f11611,f8146,f19902]) ).
thf(f20160,plain,
( spl0_152
| ~ spl0_151
| spl0_357
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f19781,f11611,f17897,f8084,f8087]) ).
thf(f20166,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_378 ),
inference(constrained_superposition,[],[f25,f18255]) ).
thf(f20170,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_378 ),
inference(trivial_inequality_removal,[],[f20166]) ).
thf(f20256,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_152
| ~ spl0_192 ),
inference(constrained_superposition,[],[f8088,f11612]) ).
thf(f20266,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_152
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f20256]) ).
thf(f20276,plain,
( ~ spl0_389
| ~ spl0_152
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f20266,f11611,f8087,f19563]) ).
thf(f20326,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_202
| ~ spl0_355 ),
inference(constrained_superposition,[],[f17856,f11664]) ).
thf(f20339,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_202
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f20326]) ).
thf(f20344,plain,
( ~ spl0_210
| ~ spl0_202
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f20339,f17855,f11663,f11737]) ).
thf(f20345,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_163
| ~ spl0_212 ),
inference(constrained_superposition,[],[f19665,f11745]) ).
thf(f20356,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_163
| ~ spl0_212 ),
inference(trivial_inequality_removal,[],[f20345]) ).
thf(f20357,plain,
( $false
| ~ spl0_18
| ~ spl0_163
| ~ spl0_212 ),
inference(forward_subsumption_resolution,[],[f20356,f223]) ).
thf(f20358,plain,
( ~ spl0_18
| ~ spl0_163
| ~ spl0_212 ),
inference(avatar_contradiction_clause,[],[f20357]) ).
thf(f20383,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_203
| ~ spl0_319 ),
inference(constrained_superposition,[],[f19982,f11667]) ).
thf(f20384,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_163
| ~ spl0_203 ),
inference(constrained_superposition,[],[f19665,f11667]) ).
thf(f20389,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_163
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f20384]) ).
thf(f20393,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_203
| ~ spl0_319 ),
inference(trivial_inequality_removal,[],[f20383]) ).
thf(f20395,plain,
( $false
| ~ spl0_163
| ~ spl0_203
| ~ spl0_294 ),
inference(forward_subsumption_resolution,[],[f20389,f15478]) ).
thf(f20396,plain,
( ~ spl0_163
| ~ spl0_203
| ~ spl0_294 ),
inference(avatar_contradiction_clause,[],[f20395]) ).
thf(f20398,plain,
( $false
| ~ spl0_203
| ~ spl0_238
| ~ spl0_319 ),
inference(forward_subsumption_resolution,[],[f20393,f13349]) ).
thf(f20399,plain,
( ~ spl0_203
| ~ spl0_238
| ~ spl0_319 ),
inference(avatar_contradiction_clause,[],[f20398]) ).
thf(f20413,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_212 ),
inference(constrained_superposition,[],[f25,f11745]) ).
thf(f20418,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_212 ),
inference(trivial_inequality_removal,[],[f20413]) ).
thf(f20491,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_214 ),
inference(constrained_superposition,[],[f25,f11753]) ).
thf(f20494,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_214 ),
inference(trivial_inequality_removal,[],[f20491]) ).
thf(f20570,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_194
| ~ spl0_399 ),
inference(constrained_superposition,[],[f19906,f11619]) ).
thf(f20582,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_194
| ~ spl0_399 ),
inference(trivial_inequality_removal,[],[f20570]) ).
thf(f20588,plain,
( ~ spl0_210
| ~ spl0_194
| ~ spl0_399 ),
inference(avatar_split_clause,[],[f20582,f19905,f11618,f11737]) ).
thf(f20590,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_366
| ~ spl0_378 ),
inference(constrained_superposition,[],[f20170,f18005]) ).
thf(f20591,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_377
| ~ spl0_378 ),
inference(constrained_superposition,[],[f20170,f18248]) ).
thf(f20602,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_377
| ~ spl0_378 ),
inference(trivial_inequality_removal,[],[f20591]) ).
thf(f20607,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_366
| ~ spl0_378 ),
inference(trivial_inequality_removal,[],[f20590]) ).
thf(f20613,plain,
( $false
| ~ spl0_15
| ~ spl0_377
| ~ spl0_378 ),
inference(forward_subsumption_resolution,[],[f20602,f213]) ).
thf(f20614,plain,
( ~ spl0_15
| ~ spl0_377
| ~ spl0_378 ),
inference(avatar_contradiction_clause,[],[f20613]) ).
thf(f20615,plain,
( $false
| ~ spl0_80
| ~ spl0_366
| ~ spl0_378 ),
inference(forward_subsumption_resolution,[],[f20607,f5629]) ).
thf(f20616,plain,
( ~ spl0_80
| ~ spl0_366
| ~ spl0_378 ),
inference(avatar_contradiction_clause,[],[f20615]) ).
thf(f20617,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_178
| ~ spl0_221 ),
inference(constrained_superposition,[],[f20088,f9761]) ).
thf(f20635,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_178
| ~ spl0_221 ),
inference(trivial_inequality_removal,[],[f20617]) ).
thf(f20639,plain,
( $false
| ~ spl0_78
| ~ spl0_178
| ~ spl0_221 ),
inference(forward_subsumption_resolution,[],[f20635,f5622]) ).
thf(f20640,plain,
( ~ spl0_78
| ~ spl0_178
| ~ spl0_221 ),
inference(avatar_contradiction_clause,[],[f20639]) ).
thf(f20644,plain,
( ~ spl0_233
| ~ spl0_221
| ~ spl0_238 ),
inference(avatar_split_clause,[],[f20111,f13348,f12231,f13315]) ).
thf(f20647,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| spl0_78 ),
inference(avatar_component_clause,[],[f5621]) ).
thf(f20748,definition,
( spl0_403
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_403])],[avatar_definition]) ).
thf(f20749,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_403 ),
inference(avatar_component_clause,[],[f20748]) ).
thf(f20764,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_197
| ~ spl0_212 ),
inference(constrained_superposition,[],[f20418,f11646]) ).
thf(f20765,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_197
| ~ spl0_319 ),
inference(constrained_superposition,[],[f19982,f11646]) ).
thf(f20772,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_197
| ~ spl0_319 ),
inference(trivial_inequality_removal,[],[f20765]) ).
thf(f20773,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_197
| ~ spl0_212 ),
inference(trivial_inequality_removal,[],[f20764]) ).
thf(f20777,plain,
( $false
| ~ spl0_197
| ~ spl0_319
| ~ spl0_356 ),
inference(forward_subsumption_resolution,[],[f20772,f17916]) ).
thf(f20778,plain,
( ~ spl0_197
| ~ spl0_319
| ~ spl0_356 ),
inference(avatar_contradiction_clause,[],[f20777]) ).
thf(f20779,plain,
( $false
| ~ spl0_197
| ~ spl0_212
| ~ spl0_378 ),
inference(forward_subsumption_resolution,[],[f20773,f18255]) ).
thf(f20780,plain,
( ~ spl0_197
| ~ spl0_212
| ~ spl0_378 ),
inference(avatar_contradiction_clause,[],[f20779]) ).
thf(f20827,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_178 ),
inference(constrained_superposition,[],[f25,f9761]) ).
thf(f20829,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_178 ),
inference(trivial_inequality_removal,[],[f20827]) ).
thf(f20852,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_344 ),
inference(constrained_superposition,[],[f25,f17614]) ).
thf(f20853,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_344 ),
inference(trivial_inequality_removal,[],[f20852]) ).
thf(f21002,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_207
| ~ spl0_344 ),
inference(constrained_superposition,[],[f20853,f11727]) ).
thf(f21014,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_207
| ~ spl0_344 ),
inference(trivial_inequality_removal,[],[f21002]) ).
thf(f21023,plain,
( ~ spl0_233
| ~ spl0_207
| ~ spl0_344 ),
inference(avatar_split_clause,[],[f21014,f17613,f11726,f13315]) ).
thf(f21087,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_202 ),
inference(constrained_superposition,[],[f330,f11664]) ).
thf(f21094,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) )
| ~ spl0_202 ),
inference(constrained_superposition,[],[f40,f11664]) ).
thf(f21102,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_202 ),
inference(trivial_inequality_removal,[],[f21087]) ).
thf(f21107,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_202 ),
inference(trivial_inequality_removal,[],[f21094]) ).
thf(f21140,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_25
| ~ spl0_193 ),
inference(constrained_superposition,[],[f1723,f11615]) ).
thf(f21144,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_25
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f21140]) ).
thf(f21168,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_165
| ~ spl0_196 ),
inference(constrained_superposition,[],[f8592,f11643]) ).
thf(f21191,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_165
| ~ spl0_196 ),
inference(trivial_inequality_removal,[],[f21168]) ).
thf(f21205,plain,
( ~ spl0_389
| ~ spl0_165
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f21191,f11642,f8591,f19563]) ).
thf(f21212,definition,
( spl0_407
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_407])],[avatar_definition]) ).
thf(f21213,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_407 ),
inference(avatar_component_clause,[],[f21212]) ).
thf(f21216,plain,
( spl0_165
| spl0_294
| ~ spl0_387
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f21102,f11663,f19407,f15477,f8591]) ).
thf(f21217,plain,
( spl0_374
| spl0_238
| ~ spl0_346
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f21107,f11663,f17620,f13348,f18135]) ).
thf(f21224,plain,
( spl0_230
| ~ spl0_357
| ~ spl0_25
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f21144,f11614,f333,f17897,f13225]) ).
thf(f21246,definition,
( spl0_409
<=> ! [X0: $i] :
( ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_409])],[avatar_definition]) ).
thf(f21247,plain,
( ! [X0: $i] :
( ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ~ spl0_409 ),
inference(avatar_component_clause,[],[f21246]) ).
thf(f21275,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_163
| ~ spl0_214 ),
inference(constrained_superposition,[],[f20494,f8541]) ).
thf(f21285,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_163
| ~ spl0_214 ),
inference(trivial_inequality_removal,[],[f21275]) ).
thf(f21287,plain,
( $false
| ~ spl0_15
| ~ spl0_163
| ~ spl0_214 ),
inference(forward_subsumption_resolution,[],[f21285,f213]) ).
thf(f21288,plain,
( ~ spl0_15
| ~ spl0_163
| ~ spl0_214 ),
inference(avatar_contradiction_clause,[],[f21287]) ).
thf(f21310,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_148 ),
inference(constrained_superposition,[],[f25,f8030]) ).
thf(f21312,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_148 ),
inference(trivial_inequality_removal,[],[f21310]) ).
thf(f21409,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_94 ),
inference(constrained_superposition,[],[f6081,f33]) ).
thf(f21417,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_94 ),
inference(trivial_inequality_removal,[],[f21409]) ).
thf(f21421,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_148
| ~ spl0_178 ),
inference(constrained_superposition,[],[f20829,f8030]) ).
thf(f21422,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_178
| ~ spl0_221 ),
inference(constrained_superposition,[],[f20829,f12232]) ).
thf(f21430,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_178
| ~ spl0_221 ),
inference(trivial_inequality_removal,[],[f21422]) ).
thf(f21433,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_148
| ~ spl0_178 ),
inference(trivial_inequality_removal,[],[f21421]) ).
thf(f21439,plain,
( $false
| ~ spl0_178
| ~ spl0_221
| ~ spl0_233 ),
inference(forward_subsumption_resolution,[],[f21430,f13316]) ).
thf(f21440,plain,
( ~ spl0_178
| ~ spl0_221
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f21439]) ).
thf(f21441,plain,
( $false
| ~ spl0_1
| ~ spl0_148
| ~ spl0_178 ),
inference(forward_subsumption_resolution,[],[f21433,f71]) ).
thf(f21442,plain,
( ~ spl0_1
| ~ spl0_148
| ~ spl0_178 ),
inference(avatar_contradiction_clause,[],[f21441]) ).
thf(f21461,plain,
( ~ spl0_8
| spl0_78
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f21417,f6080,f5621,f137]) ).
thf(f21471,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_78 ),
inference(constrained_superposition,[],[f25,f5622]) ).
thf(f21474,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_78 ),
inference(trivial_inequality_removal,[],[f21471]) ).
thf(f21536,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_360 ),
inference(constrained_superposition,[],[f25,f17915]) ).
thf(f21537,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_360 ),
inference(trivial_inequality_removal,[],[f21536]) ).
thf(f21553,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_18
| ~ spl0_294 ),
inference(constrained_superposition,[],[f19935,f15478]) ).
thf(f21556,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f19935,f495]) ).
thf(f21566,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_18
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f21553]) ).
thf(f21569,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f21556]) ).
thf(f21570,plain,
( $false
| ~ spl0_18
| ~ spl0_230
| ~ spl0_294 ),
inference(forward_subsumption_resolution,[],[f21566,f13226]) ).
thf(f21571,plain,
( ~ spl0_18
| ~ spl0_230
| ~ spl0_294 ),
inference(avatar_contradiction_clause,[],[f21570]) ).
thf(f21572,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= X0 )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true ) )
| ~ spl0_18
| ~ spl0_337 ),
inference(forward_subsumption_resolution,[],[f21569,f16992]) ).
thf(f21573,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| spl0_13
| ~ spl0_18
| ~ spl0_337 ),
inference(forward_subsumption_resolution,[],[f21572,f1067]) ).
thf(f21574,plain,
( spl0_47
| spl0_13
| ~ spl0_18
| ~ spl0_337 ),
inference(avatar_split_clause,[],[f21573,f16991,f222,f205,f674]) ).
thf(f21575,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_18
| ~ spl0_294 ),
inference(constrained_superposition,[],[f21566,f495]) ).
thf(f21578,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ~ spl0_18
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f21575]) ).
thf(f21580,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ~ spl0_18
| spl0_238
| ~ spl0_294 ),
inference(forward_subsumption_resolution,[],[f21578,f16684]) ).
thf(f21581,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ~ spl0_18
| spl0_238
| ~ spl0_294 ),
inference(forward_subsumption_resolution,[],[f21580,f24]) ).
thf(f21582,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_4
| ~ spl0_18
| spl0_238
| ~ spl0_294 ),
inference(forward_subsumption_resolution,[],[f21581,f239]) ).
thf(f21583,plain,
( spl0_178
| spl0_4
| ~ spl0_18
| spl0_238
| ~ spl0_294 ),
inference(avatar_split_clause,[],[f21582,f15477,f13348,f222,f80,f9760]) ).
thf(f21595,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_15 ),
inference(constrained_superposition,[],[f25,f213]) ).
thf(f21600,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f21595]) ).
thf(f21611,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_238 ),
inference(constrained_superposition,[],[f25,f13349]) ).
thf(f21612,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_238 ),
inference(trivial_inequality_removal,[],[f21611]) ).
thf(f21777,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_78
| ~ spl0_293 ),
inference(constrained_superposition,[],[f21474,f15470]) ).
thf(f21784,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_78
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f21777]) ).
thf(f21787,plain,
( $false
| ~ spl0_78
| ~ spl0_238
| ~ spl0_293 ),
inference(forward_subsumption_resolution,[],[f21784,f13349]) ).
thf(f21788,plain,
( ~ spl0_78
| ~ spl0_238
| ~ spl0_293 ),
inference(avatar_contradiction_clause,[],[f21787]) ).
thf(f21856,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_148
| ~ spl0_162 ),
inference(constrained_superposition,[],[f21312,f8526]) ).
thf(f21870,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_148
| ~ spl0_162 ),
inference(trivial_inequality_removal,[],[f21856]) ).
thf(f21874,plain,
( $false
| ~ spl0_15
| ~ spl0_148
| ~ spl0_162 ),
inference(forward_subsumption_resolution,[],[f21870,f213]) ).
thf(f21875,plain,
( ~ spl0_15
| ~ spl0_148
| ~ spl0_162 ),
inference(avatar_contradiction_clause,[],[f21874]) ).
thf(f21903,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_212 ),
inference(constrained_superposition,[],[f25,f11745]) ).
thf(f21904,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_212 ),
inference(trivial_inequality_removal,[],[f21903]) ).
thf(f21992,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_397 ),
inference(constrained_superposition,[],[f19875,f55]) ).
thf(f22001,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_397 ),
inference(trivial_inequality_removal,[],[f21992]) ).
thf(f22006,plain,
( spl0_364
| ~ spl0_6
| ~ spl0_397 ),
inference(avatar_split_clause,[],[f22001,f19874,f115,f17997]) ).
thf(f22045,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_193
| ~ spl0_238 ),
inference(constrained_superposition,[],[f21612,f11615]) ).
thf(f22051,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_193
| ~ spl0_238 ),
inference(trivial_inequality_removal,[],[f22045]) ).
thf(f22055,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_195
| ~ spl0_360 ),
inference(constrained_superposition,[],[f21537,f11622]) ).
thf(f22062,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_195
| ~ spl0_360 ),
inference(trivial_inequality_removal,[],[f22055]) ).
thf(f22064,plain,
( $false
| ~ spl0_195
| ~ spl0_238
| ~ spl0_360 ),
inference(forward_subsumption_resolution,[],[f22062,f13349]) ).
thf(f22065,plain,
( ~ spl0_195
| ~ spl0_238
| ~ spl0_360 ),
inference(avatar_contradiction_clause,[],[f22064]) ).
thf(f22071,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_364 ),
inference(constrained_superposition,[],[f25,f17998]) ).
thf(f22074,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_364 ),
inference(trivial_inequality_removal,[],[f22071]) ).
thf(f22090,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_194 ),
inference(constrained_superposition,[],[f66,f11619]) ).
thf(f22103,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f22090]) ).
thf(f22117,plain,
( spl0_148
| spl0_363
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f22103,f11618,f17994,f8029]) ).
thf(f22193,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_201
| ~ spl0_364 ),
inference(constrained_superposition,[],[f22074,f11660]) ).
thf(f22194,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_201
| ~ spl0_360 ),
inference(constrained_superposition,[],[f21537,f11660]) ).
thf(f22198,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_201
| ~ spl0_364 ),
inference(trivial_inequality_removal,[],[f22193]) ).
thf(f22200,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_201
| ~ spl0_360 ),
inference(trivial_inequality_removal,[],[f22194]) ).
thf(f22203,plain,
( $false
| ~ spl0_201
| ~ spl0_214
| ~ spl0_364 ),
inference(forward_subsumption_resolution,[],[f22198,f11753]) ).
thf(f22204,plain,
( ~ spl0_201
| ~ spl0_214
| ~ spl0_364 ),
inference(avatar_contradiction_clause,[],[f22203]) ).
thf(f22206,plain,
( $false
| ~ spl0_201
| ~ spl0_319
| ~ spl0_360 ),
inference(forward_subsumption_resolution,[],[f22200,f16756]) ).
thf(f22207,plain,
( ~ spl0_201
| ~ spl0_319
| ~ spl0_360 ),
inference(avatar_contradiction_clause,[],[f22206]) ).
thf(f22249,definition,
( spl0_413
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_413])],[avatar_definition]) ).
thf(f22250,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_413 ),
inference(avatar_component_clause,[],[f22249]) ).
thf(f22280,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_352 ),
inference(constrained_superposition,[],[f17845,f147]) ).
thf(f22288,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_352 ),
inference(trivial_inequality_removal,[],[f22280]) ).
thf(f22296,plain,
( ~ spl0_100
| spl0_163
| ~ spl0_352 ),
inference(avatar_split_clause,[],[f22288,f17844,f8540,f6166]) ).
thf(f22298,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_207
| ~ spl0_212 ),
inference(constrained_superposition,[],[f21904,f11727]) ).
thf(f22304,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_207
| ~ spl0_212 ),
inference(trivial_inequality_removal,[],[f22298]) ).
thf(f22321,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_200
| ~ spl0_394 ),
inference(constrained_superposition,[],[f19584,f11657]) ).
thf(f22322,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_394 ),
inference(constrained_superposition,[],[f19584,f4409]) ).
thf(f22337,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_394 ),
inference(trivial_inequality_removal,[],[f22322]) ).
thf(f22339,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_200
| ~ spl0_394 ),
inference(trivial_inequality_removal,[],[f22321]) ).
thf(f22340,plain,
( spl0_366
| ~ spl0_92
| ~ spl0_394 ),
inference(avatar_split_clause,[],[f22337,f19583,f6073,f18004]) ).
thf(f22341,plain,
( ~ spl0_387
| ~ spl0_200
| ~ spl0_394 ),
inference(avatar_split_clause,[],[f22339,f19583,f11656,f19407]) ).
thf(f22343,plain,
( ~ spl0_356
| ~ spl0_193
| ~ spl0_238 ),
inference(avatar_split_clause,[],[f22051,f13348,f11614,f17892]) ).
thf(f22352,plain,
( ~ spl0_80
| ~ spl0_207
| ~ spl0_212 ),
inference(avatar_split_clause,[],[f22304,f11744,f11726,f5628]) ).
thf(f22407,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_148 ),
inference(constrained_superposition,[],[f25,f8030]) ).
thf(f22409,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_148 ),
inference(trivial_inequality_removal,[],[f22407]) ).
thf(f22418,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_18
| ~ spl0_159 ),
inference(constrained_superposition,[],[f8507,f223]) ).
thf(f22427,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_18
| ~ spl0_159 ),
inference(trivial_inequality_removal,[],[f22418]) ).
thf(f22466,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_163 ),
inference(constrained_superposition,[],[f25,f8541]) ).
thf(f22468,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_163 ),
inference(trivial_inequality_removal,[],[f22466]) ).
thf(f22530,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_199
| ~ spl0_238 ),
inference(constrained_superposition,[],[f21612,f11653]) ).
thf(f22538,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_199
| ~ spl0_238 ),
inference(trivial_inequality_removal,[],[f22530]) ).
thf(f22540,plain,
( $false
| ~ spl0_199
| ~ spl0_238
| ~ spl0_319 ),
inference(forward_subsumption_resolution,[],[f22538,f16756]) ).
thf(f22541,plain,
( ~ spl0_199
| ~ spl0_238
| ~ spl0_319 ),
inference(avatar_contradiction_clause,[],[f22540]) ).
thf(f22547,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_148
| ~ spl0_221 ),
inference(constrained_superposition,[],[f22409,f12232]) ).
thf(f22551,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_221 ),
inference(constrained_superposition,[],[f25,f12232]) ).
thf(f22553,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_148
| ~ spl0_221 ),
inference(trivial_inequality_removal,[],[f22547]) ).
thf(f22555,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_221 ),
inference(trivial_inequality_removal,[],[f22551]) ).
thf(f22560,plain,
( ~ spl0_80
| ~ spl0_148
| ~ spl0_221 ),
inference(avatar_split_clause,[],[f22553,f12231,f8029,f5628]) ).
thf(f22779,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_26 ),
inference(constrained_superposition,[],[f337,f33]) ).
thf(f22784,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f22779]) ).
thf(f22858,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_152 ),
inference(constrained_superposition,[],[f8088,f33]) ).
thf(f22864,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_152 ),
inference(trivial_inequality_removal,[],[f22858]) ).
thf(f22870,plain,
( ~ spl0_22
| spl0_178
| ~ spl0_152 ),
inference(avatar_split_clause,[],[f22864,f8087,f9760,f279]) ).
thf(f22922,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_355 ),
inference(constrained_superposition,[],[f17856,f33]) ).
thf(f22931,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f22922]) ).
thf(f22960,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_195
| ~ spl0_364 ),
inference(constrained_superposition,[],[f22074,f11622]) ).
thf(f22968,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_195
| ~ spl0_364 ),
inference(trivial_inequality_removal,[],[f22960]) ).
thf(f22969,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_195
| ~ spl0_364 ),
inference(constrained_superposition,[],[f22968,f495]) ).
thf(f22972,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ~ spl0_195
| ~ spl0_364 ),
inference(trivial_inequality_removal,[],[f22969]) ).
thf(f22974,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_195
| spl0_238
| ~ spl0_364 ),
inference(forward_subsumption_resolution,[],[f22972,f16684]) ).
thf(f22975,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_4
| ~ spl0_195
| spl0_238
| ~ spl0_364 ),
inference(forward_subsumption_resolution,[],[f22974,f239]) ).
thf(f22976,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_4
| ~ spl0_195
| spl0_238
| ~ spl0_364 ),
inference(forward_subsumption_resolution,[],[f22975,f24]) ).
thf(f22977,plain,
( spl0_178
| spl0_4
| ~ spl0_195
| spl0_238
| ~ spl0_364 ),
inference(avatar_split_clause,[],[f22976,f17997,f13348,f11621,f80,f9760]) ).
thf(f22978,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_163
| ~ spl0_344 ),
inference(constrained_superposition,[],[f22468,f17614]) ).
thf(f22990,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_163
| ~ spl0_344 ),
inference(trivial_inequality_removal,[],[f22978]) ).
thf(f22998,plain,
( $false
| ~ spl0_13
| ~ spl0_163
| ~ spl0_344 ),
inference(forward_subsumption_resolution,[],[f22990,f206]) ).
thf(f22999,plain,
( ~ spl0_13
| ~ spl0_163
| ~ spl0_344 ),
inference(avatar_contradiction_clause,[],[f22998]) ).
thf(f23001,plain,
( ~ spl0_8
| spl0_344
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f22931,f17855,f17613,f137]) ).
thf(f23007,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_230 ),
inference(avatar_component_clause,[],[f13225]) ).
thf(f23133,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_148
| ~ spl0_221 ),
inference(constrained_superposition,[],[f22555,f8030]) ).
thf(f23147,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_148
| ~ spl0_221 ),
inference(trivial_inequality_removal,[],[f23133]) ).
thf(f23175,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| spl0_76 ),
inference(avatar_component_clause,[],[f5614]) ).
thf(f23181,plain,
( ~ spl0_76
| ~ spl0_148
| ~ spl0_221 ),
inference(avatar_split_clause,[],[f23147,f12231,f8029,f5614]) ).
thf(f23183,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_9
| spl0_76 ),
inference(constrained_superposition,[],[f23175,f727]) ).
thf(f23191,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_9
| spl0_76 ),
inference(trivial_inequality_removal,[],[f23183]) ).
thf(f23197,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_9
| spl0_76
| spl0_98 ),
inference(forward_subsumption_resolution,[],[f23191,f11543]) ).
thf(f23208,plain,
( spl0_233
| ~ spl0_9
| spl0_76
| spl0_98 ),
inference(avatar_split_clause,[],[f23197,f6100,f5614,f140,f13315]) ).
thf(f23215,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_81 ),
inference(constrained_superposition,[],[f25,f5633]) ).
thf(f23216,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_81 ),
inference(trivial_inequality_removal,[],[f23215]) ).
thf(f23240,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_78
| ~ spl0_81 ),
inference(constrained_superposition,[],[f23216,f5622]) ).
thf(f23250,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_78
| ~ spl0_81 ),
inference(trivial_inequality_removal,[],[f23240]) ).
thf(f23258,plain,
( $false
| ~ spl0_13
| ~ spl0_78
| ~ spl0_81 ),
inference(forward_subsumption_resolution,[],[f23250,f206]) ).
thf(f23259,plain,
( ~ spl0_13
| ~ spl0_78
| ~ spl0_81 ),
inference(avatar_contradiction_clause,[],[f23258]) ).
thf(f23265,plain,
( ~ spl0_1
| ~ spl0_18
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f22427,f8506,f222,f70]) ).
thf(f23438,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_192 ),
inference(constrained_superposition,[],[f66,f11612]) ).
thf(f23456,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f23438]) ).
thf(f23467,plain,
( spl0_364
| spl0_363
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f23456,f11611,f17994,f17997]) ).
thf(f23470,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_194 ),
inference(constrained_superposition,[],[f6053,f11619]) ).
thf(f23477,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_194 ),
inference(constrained_superposition,[],[f47,f11619]) ).
thf(f23491,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f23470]) ).
thf(f23492,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f23477]) ).
thf(f23502,plain,
( spl0_293
| spl0_393
| ~ spl0_392
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f23491,f11618,f19576,f19579,f15469]) ).
thf(f23503,plain,
( spl0_178
| spl0_371
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f23492,f11618,f18024,f9760]) ).
thf(f23508,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_163
| ~ spl0_197 ),
inference(constrained_superposition,[],[f22468,f11646]) ).
thf(f23512,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_163
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f23508]) ).
thf(f23519,plain,
( ~ spl0_357
| ~ spl0_163
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f23512,f11645,f8540,f17897]) ).
thf(f23537,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_200 ),
inference(constrained_superposition,[],[f195,f11657]) ).
thf(f23560,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_200 ),
inference(trivial_inequality_removal,[],[f23537]) ).
thf(f23572,definition,
( spl0_420
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_420])],[avatar_definition]) ).
thf(f23573,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_420 ),
inference(avatar_component_clause,[],[f23572]) ).
thf(f23732,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_111
| ~ spl0_366 ),
inference(constrained_superposition,[],[f18005,f6592]) ).
thf(f23734,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_111
| ~ spl0_368 ),
inference(constrained_superposition,[],[f18013,f6592]) ).
thf(f23887,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_111
| ~ spl0_368 ),
inference(forward_subsumption_resolution,[],[f23734,f24]) ).
thf(f23902,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_111
| spl0_356
| ~ spl0_366 ),
inference(forward_subsumption_resolution,[],[f23732,f17893]) ).
thf(f23927,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_111
| ~ spl0_368 ),
inference(forward_subsumption_resolution,[],[f23887,f23]) ).
thf(f23940,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_111
| spl0_356
| ~ spl0_366 ),
inference(forward_subsumption_resolution,[],[f23902,f23]) ).
thf(f23962,plain,
( $false
| ~ spl0_111
| spl0_356
| ~ spl0_368 ),
inference(forward_subsumption_resolution,[],[f23927,f17893]) ).
thf(f23963,plain,
( ~ spl0_111
| spl0_356
| ~ spl0_368 ),
inference(avatar_contradiction_clause,[],[f23962]) ).
thf(f23972,plain,
( $false
| ~ spl0_111
| spl0_356
| ~ spl0_366 ),
inference(forward_subsumption_resolution,[],[f23940,f24]) ).
thf(f23973,plain,
( ~ spl0_111
| spl0_356
| ~ spl0_366 ),
inference(avatar_contradiction_clause,[],[f23972]) ).
thf(f23991,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_399 ),
inference(constrained_superposition,[],[f19906,f147]) ).
thf(f24003,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_399 ),
inference(trivial_inequality_removal,[],[f23991]) ).
thf(f24009,plain,
( ~ spl0_27
| spl0_377
| ~ spl0_399 ),
inference(avatar_split_clause,[],[f24003,f19905,f18247,f339]) ).
thf(f24013,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_364 ),
inference(constrained_superposition,[],[f25,f17998]) ).
thf(f24015,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_364 ),
inference(trivial_inequality_removal,[],[f24013]) ).
thf(f24047,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_352 ),
inference(constrained_superposition,[],[f17845,f55]) ).
thf(f24049,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_352 ),
inference(constrained_superposition,[],[f17845,f33]) ).
thf(f24052,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_352 ),
inference(trivial_inequality_removal,[],[f24049]) ).
thf(f24059,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_352 ),
inference(trivial_inequality_removal,[],[f24047]) ).
thf(f24060,plain,
( spl0_344
| ~ spl0_235
| ~ spl0_352 ),
inference(avatar_split_clause,[],[f24052,f17844,f13333,f17613]) ).
thf(f24061,plain,
( spl0_212
| ~ spl0_101
| ~ spl0_352 ),
inference(avatar_split_clause,[],[f24059,f17844,f6170,f11744]) ).
thf(f24062,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_194
| ~ spl0_394 ),
inference(constrained_superposition,[],[f19584,f11619]) ).
thf(f24075,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_194
| ~ spl0_394 ),
inference(trivial_inequality_removal,[],[f24062]) ).
thf(f24082,plain,
( ~ spl0_151
| ~ spl0_194
| ~ spl0_394 ),
inference(avatar_split_clause,[],[f24075,f19583,f11618,f8084]) ).
thf(f24083,plain,
( spl0_413
| spl0_163
| ~ spl0_389
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f23560,f11656,f19563,f8540,f22249]) ).
thf(f24113,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_364
| ~ spl0_377 ),
inference(constrained_superposition,[],[f24015,f18248]) ).
thf(f24120,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_364
| ~ spl0_377 ),
inference(trivial_inequality_removal,[],[f24113]) ).
thf(f24123,plain,
( $false
| ~ spl0_15
| ~ spl0_364
| ~ spl0_377 ),
inference(forward_subsumption_resolution,[],[f24120,f213]) ).
thf(f24124,plain,
( ~ spl0_15
| ~ spl0_364
| ~ spl0_377 ),
inference(avatar_contradiction_clause,[],[f24123]) ).
thf(f24134,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_355 ),
inference(constrained_superposition,[],[f17856,f147]) ).
thf(f24147,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f24134]) ).
thf(f24149,plain,
( spl0_163
| ~ spl0_27
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f24147,f17855,f339,f8540]) ).
thf(f24198,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_196
| ~ spl0_355 ),
inference(constrained_superposition,[],[f17856,f11643]) ).
thf(f24201,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_196 ),
inference(constrained_superposition,[],[f6053,f11643]) ).
thf(f24202,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_196 ),
inference(constrained_superposition,[],[f330,f11643]) ).
thf(f24203,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_196 ),
inference(constrained_superposition,[],[f195,f11643]) ).
thf(f24204,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_196 ),
inference(constrained_superposition,[],[f107,f11643]) ).
thf(f24205,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_196 ),
inference(constrained_superposition,[],[f66,f11643]) ).
thf(f24206,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) ) )
| ~ spl0_196 ),
inference(constrained_superposition,[],[f396,f11643]) ).
thf(f24207,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_196 ),
inference(constrained_superposition,[],[f52,f11643]) ).
thf(f24208,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_196 ),
inference(constrained_superposition,[],[f47,f11643]) ).
thf(f24209,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_196 ),
inference(constrained_superposition,[],[f40,f11643]) ).
thf(f24215,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_196 ),
inference(trivial_inequality_removal,[],[f24203]) ).
thf(f24217,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_196 ),
inference(trivial_inequality_removal,[],[f24209]) ).
thf(f24220,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_196 ),
inference(trivial_inequality_removal,[],[f24208]) ).
thf(f24222,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_196 ),
inference(trivial_inequality_removal,[],[f24204]) ).
thf(f24223,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_196 ),
inference(trivial_inequality_removal,[],[f24205]) ).
thf(f24226,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_196 ),
inference(trivial_inequality_removal,[],[f24207]) ).
thf(f24227,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( z = X0 )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) ) )
| ~ spl0_196 ),
inference(trivial_inequality_removal,[],[f24206]) ).
thf(f24229,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_196
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f24198]) ).
thf(f24230,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_196 ),
inference(trivial_inequality_removal,[],[f24202]) ).
thf(f24232,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_196 ),
inference(trivial_inequality_removal,[],[f24201]) ).
thf(f24233,plain,
( spl0_360
| spl0_420
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f24220,f11642,f23572,f17914]) ).
thf(f24235,plain,
( spl0_364
| spl0_407
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f24223,f11642,f21212,f17997]) ).
thf(f24236,plain,
( spl0_373
| ~ spl0_346
| spl0_360
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f24227,f11642,f17914,f17620,f18130]) ).
thf(f24237,plain,
( ~ spl0_398
| ~ spl0_196
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f24229,f17855,f11642,f19902]) ).
thf(f24238,plain,
( spl0_13
| ~ spl0_8
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f22784,f336,f137,f205]) ).
thf(f24239,plain,
( spl0_165
| spl0_357
| ~ spl0_387
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f24230,f11642,f19407,f17897,f8591]) ).
thf(f24241,plain,
( ~ spl0_387
| spl0_403
| spl0_377
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f24215,f11642,f18247,f20748,f19407]) ).
thf(f24243,plain,
( spl0_238
| spl0_178
| spl0_13
| spl0_294
| spl0_98 ),
inference(avatar_split_clause,[],[f11596,f6100,f15477,f205,f9760,f13348]) ).
thf(f24244,plain,
( spl0_368
| spl0_352
| ~ spl0_353
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f24232,f11642,f17847,f17844,f18012]) ).
thf(f24260,plain,
( ( z
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| spl0_18 ),
inference(constrained_superposition,[],[f14976,f495]) ).
thf(f24263,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| spl0_18 ),
inference(trivial_inequality_removal,[],[f24260]) ).
thf(f24301,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_162 ),
inference(constrained_superposition,[],[f25,f8526]) ).
thf(f24303,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_162 ),
inference(trivial_inequality_removal,[],[f24301]) ).
thf(f24321,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| spl0_4
| spl0_18 ),
inference(forward_subsumption_resolution,[],[f24263,f239]) ).
thf(f24322,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| spl0_4
| spl0_18 ),
inference(forward_subsumption_resolution,[],[f24321,f24]) ).
thf(f24323,plain,
( spl0_1
| spl0_13
| spl0_4
| spl0_18 ),
inference(avatar_split_clause,[],[f24322,f222,f80,f205,f70]) ).
thf(f24374,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_15
| ~ spl0_87 ),
inference(constrained_superposition,[],[f21600,f5655]) ).
thf(f24381,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_15
| ~ spl0_87 ),
inference(trivial_inequality_removal,[],[f24374]) ).
thf(f24384,plain,
( $false
| ~ spl0_15
| ~ spl0_80
| ~ spl0_87 ),
inference(forward_subsumption_resolution,[],[f24381,f5629]) ).
thf(f24385,plain,
( ~ spl0_15
| ~ spl0_80
| ~ spl0_87 ),
inference(avatar_contradiction_clause,[],[f24384]) ).
thf(f24393,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_163 ),
inference(constrained_superposition,[],[f25,f8541]) ).
thf(f24394,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_163 ),
inference(trivial_inequality_removal,[],[f24393]) ).
thf(f24418,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_364 ),
inference(constrained_superposition,[],[f25,f17998]) ).
thf(f24419,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_364 ),
inference(trivial_inequality_removal,[],[f24418]) ).
thf(f24486,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_198 ),
inference(constrained_superposition,[],[f330,f11650]) ).
thf(f24499,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f24486]) ).
thf(f24561,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_162
| ~ spl0_178 ),
inference(constrained_superposition,[],[f24303,f9761]) ).
thf(f24566,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_162
| ~ spl0_178 ),
inference(trivial_inequality_removal,[],[f24561]) ).
thf(f24571,plain,
( $false
| ~ spl0_13
| ~ spl0_162
| ~ spl0_178 ),
inference(forward_subsumption_resolution,[],[f24566,f206]) ).
thf(f24572,plain,
( ~ spl0_13
| ~ spl0_162
| ~ spl0_178 ),
inference(avatar_contradiction_clause,[],[f24571]) ).
thf(f24578,plain,
( ~ spl0_346
| spl0_356
| spl0_374
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f24217,f11642,f18135,f17892,f17620]) ).
thf(f24580,plain,
( ~ spl0_354
| spl0_378
| spl0_355
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f24222,f11642,f17855,f18254,f17852]) ).
thf(f24584,plain,
( ~ spl0_346
| spl0_356
| spl0_360
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f24226,f11642,f17914,f17892,f17620]) ).
thf(f24670,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_222 ),
inference(constrained_superposition,[],[f148,f12432]) ).
thf(f24759,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_222 ),
inference(forward_subsumption_resolution,[],[f24670,f23]) ).
thf(f24779,plain,
( $false
| ~ spl0_222 ),
inference(forward_subsumption_resolution,[],[f24759,f27]) ).
thf(f24780,plain,
~ spl0_222,
inference(avatar_contradiction_clause,[],[f24779]) ).
thf(f24782,plain,
( spl0_152
| spl0_208
| ~ spl0_151
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f24499,f11649,f8084,f11730,f8087]) ).
thf(f24840,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_294 ),
inference(constrained_superposition,[],[f25,f15478]) ).
thf(f24841,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f24840]) ).
thf(f24863,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_208 ),
inference(constrained_superposition,[],[f25,f11731]) ).
thf(f24866,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f24863]) ).
thf(f24927,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_355 ),
inference(constrained_superposition,[],[f17856,f4409]) ).
thf(f24940,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f24927]) ).
thf(f24946,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_148
| ~ spl0_294 ),
inference(constrained_superposition,[],[f24841,f8030]) ).
thf(f24951,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_148
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f24946]) ).
thf(f24955,plain,
( $false
| ~ spl0_18
| ~ spl0_148
| ~ spl0_294 ),
inference(forward_subsumption_resolution,[],[f24951,f223]) ).
thf(f24956,plain,
( ~ spl0_18
| ~ spl0_148
| ~ spl0_294 ),
inference(avatar_contradiction_clause,[],[f24955]) ).
thf(f24962,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_356 ),
inference(constrained_superposition,[],[f25,f17916]) ).
thf(f24963,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_356 ),
inference(trivial_inequality_removal,[],[f24962]) ).
thf(f24996,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_192 ),
inference(constrained_superposition,[],[f6053,f11612]) ).
thf(f24999,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_192 ),
inference(constrained_superposition,[],[f107,f11612]) ).
thf(f25012,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f24999]) ).
thf(f25017,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f24996]) ).
thf(f25026,plain,
( spl0_368
| spl0_215
| ~ spl0_209
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f25017,f11611,f11734,f11757,f18012]) ).
thf(f25029,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_195
| ~ spl0_356 ),
inference(constrained_superposition,[],[f24963,f11622]) ).
thf(f25034,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_195
| ~ spl0_356 ),
inference(trivial_inequality_removal,[],[f25029]) ).
thf(f25038,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_192
| spl0_378 ),
inference(forward_subsumption_resolution,[],[f25012,f18860]) ).
thf(f25040,plain,
( ~ spl0_238
| ~ spl0_195
| ~ spl0_356 ),
inference(avatar_split_clause,[],[f25034,f17892,f11621,f13348]) ).
thf(f25041,plain,
( spl0_156
| ~ spl0_210
| ~ spl0_192
| spl0_378 ),
inference(avatar_split_clause,[],[f25038,f18254,f11611,f11737,f8146]) ).
thf(f25116,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_80 ),
inference(constrained_superposition,[],[f16708,f495]) ).
thf(f25119,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| spl0_80 ),
inference(trivial_inequality_removal,[],[f25116]) ).
thf(f25121,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| spl0_76 ),
inference(constrained_superposition,[],[f23175,f495]) ).
thf(f25123,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_76 ),
inference(trivial_inequality_removal,[],[f25121]) ).
thf(f25128,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_87 ),
inference(constrained_superposition,[],[f25,f5655]) ).
thf(f25131,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_87 ),
inference(trivial_inequality_removal,[],[f25128]) ).
thf(f25142,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_148 ),
inference(constrained_superposition,[],[f25,f8030]) ).
thf(f25145,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_148 ),
inference(trivial_inequality_removal,[],[f25142]) ).
thf(f25160,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_148
| ~ spl0_178 ),
inference(constrained_superposition,[],[f25145,f9761]) ).
thf(f25169,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_148
| ~ spl0_178 ),
inference(trivial_inequality_removal,[],[f25160]) ).
thf(f25176,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_163
| ~ spl0_207 ),
inference(constrained_superposition,[],[f24394,f11727]) ).
thf(f25187,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_163
| ~ spl0_207 ),
inference(trivial_inequality_removal,[],[f25176]) ).
thf(f25190,plain,
( $false
| ~ spl0_87
| ~ spl0_163
| ~ spl0_207 ),
inference(forward_subsumption_resolution,[],[f25187,f5655]) ).
thf(f25191,plain,
( ~ spl0_87
| ~ spl0_163
| ~ spl0_207 ),
inference(avatar_contradiction_clause,[],[f25190]) ).
thf(f25240,plain,
( ~ spl0_95
| spl0_207
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f24940,f17855,f11726,f6083]) ).
thf(f25246,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_1
| spl0_76 ),
inference(forward_subsumption_resolution,[],[f25123,f555]) ).
thf(f25247,plain,
( ~ spl0_4
| ~ spl0_148
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f25169,f9760,f8029,f80]) ).
thf(f25252,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| spl0_1
| spl0_76 ),
inference(forward_subsumption_resolution,[],[f25246,f24]) ).
thf(f25254,plain,
( spl0_4
| spl0_78
| spl0_1
| spl0_76 ),
inference(avatar_split_clause,[],[f25252,f5614,f70,f5621,f80]) ).
thf(f25256,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f25,f81]) ).
thf(f25257,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f25256]) ).
thf(f25259,plain,
( spl0_337
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f25257,f80,f16991]) ).
thf(f25300,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_208
| ~ spl0_212 ),
inference(constrained_superposition,[],[f24866,f11745]) ).
thf(f25307,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_208
| ~ spl0_212 ),
inference(trivial_inequality_removal,[],[f25300]) ).
thf(f25310,plain,
( ~ spl0_18
| ~ spl0_208
| ~ spl0_212 ),
inference(avatar_split_clause,[],[f25307,f11744,f11730,f222]) ).
thf(f25881,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_162 ),
inference(constrained_superposition,[],[f25,f8526]) ).
thf(f25883,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_162 ),
inference(trivial_inequality_removal,[],[f25881]) ).
thf(f25885,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_15
| ~ spl0_294 ),
inference(constrained_superposition,[],[f21600,f15478]) ).
thf(f25887,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_294 ),
inference(constrained_superposition,[],[f25,f15478]) ).
thf(f25888,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_15
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f25885]) ).
thf(f25889,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f25887]) ).
thf(f25900,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_360
| ~ spl0_364 ),
inference(constrained_superposition,[],[f24419,f17915]) ).
thf(f25904,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_360
| ~ spl0_364 ),
inference(trivial_inequality_removal,[],[f25900]) ).
thf(f25906,plain,
( $false
| ~ spl0_4
| ~ spl0_360
| ~ spl0_364 ),
inference(forward_subsumption_resolution,[],[f25904,f81]) ).
thf(f25907,plain,
( ~ spl0_4
| ~ spl0_360
| ~ spl0_364 ),
inference(avatar_contradiction_clause,[],[f25906]) ).
thf(f25946,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_87
| ~ spl0_216 ),
inference(constrained_superposition,[],[f25131,f11761]) ).
thf(f25949,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_87
| ~ spl0_216 ),
inference(trivial_inequality_removal,[],[f25946]) ).
thf(f25953,plain,
( $false
| ~ spl0_87
| ~ spl0_208
| ~ spl0_216 ),
inference(forward_subsumption_resolution,[],[f25949,f11731]) ).
thf(f25954,plain,
( ~ spl0_87
| ~ spl0_208
| ~ spl0_216 ),
inference(avatar_contradiction_clause,[],[f25953]) ).
thf(f26075,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_87
| ~ spl0_368 ),
inference(constrained_superposition,[],[f25131,f18013]) ).
thf(f26080,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_87
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f26075]) ).
thf(f26081,plain,
( $false
| ~ spl0_87
| ~ spl0_357
| ~ spl0_368 ),
inference(forward_subsumption_resolution,[],[f26080,f18259]) ).
thf(f26082,plain,
( ~ spl0_87
| ~ spl0_357
| ~ spl0_368 ),
inference(avatar_contradiction_clause,[],[f26081]) ).
thf(f26085,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_162
| ~ spl0_221 ),
inference(constrained_superposition,[],[f25883,f12232]) ).
thf(f26090,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_162
| ~ spl0_221 ),
inference(trivial_inequality_removal,[],[f26085]) ).
thf(f26095,plain,
( $false
| ~ spl0_87
| ~ spl0_162
| ~ spl0_221 ),
inference(forward_subsumption_resolution,[],[f26090,f5655]) ).
thf(f26096,plain,
( ~ spl0_87
| ~ spl0_162
| ~ spl0_221 ),
inference(avatar_contradiction_clause,[],[f26095]) ).
thf(f26097,plain,
( spl0_12
| spl0_178
| spl0_13
| spl0_162
| spl0_98 ),
inference(avatar_split_clause,[],[f11595,f6100,f8525,f205,f9760,f201]) ).
thf(f26099,plain,
( ~ spl0_230
| ~ spl0_15
| ~ spl0_294 ),
inference(avatar_split_clause,[],[f25888,f15477,f212,f13225]) ).
thf(f26104,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_78
| spl0_80 ),
inference(forward_subsumption_resolution,[],[f25119,f20647]) ).
thf(f26110,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_78
| spl0_80 ),
inference(forward_subsumption_resolution,[],[f26104,f24]) ).
thf(f26112,plain,
( spl0_4
| spl0_233
| spl0_78
| spl0_80 ),
inference(avatar_split_clause,[],[f26110,f5628,f5621,f13315,f80]) ).
thf(f26114,plain,
( spl0_10
| spl0_4
| spl0_1 ),
inference(avatar_split_clause,[],[f488,f70,f80,f175]) ).
thf(f26116,plain,
( spl0_322
| spl0_4
| spl0_1 ),
inference(avatar_split_clause,[],[f497,f70,f80,f16735]) ).
thf(f26150,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_233 ),
inference(constrained_superposition,[],[f25,f13316]) ).
thf(f26151,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_233 ),
inference(trivial_inequality_removal,[],[f26150]) ).
thf(f26180,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_87 ),
inference(constrained_superposition,[],[f16705,f495]) ).
thf(f26183,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_87 ),
inference(trivial_inequality_removal,[],[f26180]) ).
thf(f26189,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_356 ),
inference(constrained_superposition,[],[f25,f17916]) ).
thf(f26190,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_356 ),
inference(trivial_inequality_removal,[],[f26189]) ).
thf(f26203,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_76
| ~ spl0_233 ),
inference(constrained_superposition,[],[f26151,f5615]) ).
thf(f26209,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_76
| ~ spl0_233 ),
inference(trivial_inequality_removal,[],[f26203]) ).
thf(f26210,plain,
( $false
| ~ spl0_1
| ~ spl0_76
| ~ spl0_233 ),
inference(forward_subsumption_resolution,[],[f26209,f71]) ).
thf(f26211,plain,
( ~ spl0_1
| ~ spl0_76
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f26210]) ).
thf(f26215,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_78 ),
inference(constrained_superposition,[],[f25,f5622]) ).
thf(f26217,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_78 ),
inference(trivial_inequality_removal,[],[f26215]) ).
thf(f26233,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_78
| ~ spl0_296 ),
inference(constrained_superposition,[],[f26217,f15485]) ).
thf(f26238,plain,
( ! [X0: $i] :
( ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ~ spl0_78
| ~ spl0_296 ),
inference(trivial_inequality_removal,[],[f26233]) ).
thf(f26240,plain,
( spl0_409
| ~ spl0_78
| ~ spl0_296 ),
inference(avatar_split_clause,[],[f26238,f15484,f5621,f21246]) ).
thf(f26242,plain,
( ( $true != $true )
| ~ spl0_356
| ~ spl0_409 ),
inference(constrained_superposition,[],[f21247,f17916]) ).
thf(f26246,plain,
( $false
| ~ spl0_356
| ~ spl0_409 ),
inference(trivial_inequality_removal,[],[f26242]) ).
thf(f26247,plain,
( ~ spl0_356
| ~ spl0_409 ),
inference(avatar_contradiction_clause,[],[f26246]) ).
thf(f26260,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_32 ),
inference(constrained_superposition,[],[f358,f26]) ).
thf(f26266,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true ) )
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f26260]) ).
thf(f26300,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_221 ),
inference(constrained_superposition,[],[f25,f12232]) ).
thf(f26301,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_221 ),
inference(trivial_inequality_removal,[],[f26300]) ).
thf(f26305,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_207 ),
inference(constrained_superposition,[],[f25,f11727]) ).
thf(f26307,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_207 ),
inference(trivial_inequality_removal,[],[f26305]) ).
thf(f26344,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_33
| spl0_230 ),
inference(constrained_superposition,[],[f23007,f17536]) ).
thf(f26348,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_33
| spl0_230 ),
inference(trivial_inequality_removal,[],[f26344]) ).
thf(f26352,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_33
| spl0_230 ),
inference(forward_subsumption_resolution,[],[f26348,f24]) ).
thf(f26354,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_33
| spl0_230
| spl0_238 ),
inference(forward_subsumption_resolution,[],[f26352,f16684]) ).
thf(f26356,plain,
( spl0_217
| ~ spl0_33
| spl0_230
| spl0_238 ),
inference(avatar_split_clause,[],[f26354,f13348,f13225,f539,f11776]) ).
thf(f26415,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_356
| ~ spl0_364 ),
inference(constrained_superposition,[],[f26190,f17998]) ).
thf(f26423,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_356
| ~ spl0_364 ),
inference(trivial_inequality_removal,[],[f26415]) ).
thf(f26424,plain,
( $false
| ~ spl0_1
| ~ spl0_356
| ~ spl0_364 ),
inference(forward_subsumption_resolution,[],[f26423,f71]) ).
thf(f26425,plain,
( ~ spl0_1
| ~ spl0_356
| ~ spl0_364 ),
inference(avatar_contradiction_clause,[],[f26424]) ).
thf(f26445,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_192
| ~ spl0_348 ),
inference(constrained_superposition,[],[f17632,f11612]) ).
thf(f26450,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_192 ),
inference(constrained_superposition,[],[f195,f11612]) ).
thf(f26453,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 )
| ( $true != $true ) )
| ~ spl0_192 ),
inference(constrained_superposition,[],[f396,f11612]) ).
thf(f26454,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_192 ),
inference(constrained_superposition,[],[f52,f11612]) ).
thf(f26464,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_192
| ~ spl0_348 ),
inference(trivial_inequality_removal,[],[f26445]) ).
thf(f26474,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) ) )
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f26453]) ).
thf(f26475,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f26454]) ).
thf(f26478,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f26450]) ).
thf(f26480,plain,
( ~ spl0_367
| ~ spl0_192
| ~ spl0_348 ),
inference(avatar_split_clause,[],[f26464,f17631,f11611,f18008]) ).
thf(f26482,plain,
( spl0_360
| spl0_345
| ~ spl0_155
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f26474,f11611,f8133,f17616,f17914]) ).
thf(f26483,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_192
| spl0_356 ),
inference(forward_subsumption_resolution,[],[f26475,f17893]) ).
thf(f26484,plain,
( ~ spl0_151
| spl0_377
| spl0_376
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f26478,f11611,f18244,f18247,f8084]) ).
thf(f26485,plain,
( ~ spl0_155
| spl0_360
| ~ spl0_192
| spl0_356 ),
inference(avatar_split_clause,[],[f26483,f17892,f11611,f17914,f8133]) ).
thf(f26492,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_212 ),
inference(constrained_superposition,[],[f25,f11745]) ).
thf(f26493,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_212 ),
inference(trivial_inequality_removal,[],[f26492]) ).
thf(f26510,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_377 ),
inference(constrained_superposition,[],[f25,f18248]) ).
thf(f26511,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_377 ),
inference(trivial_inequality_removal,[],[f26510]) ).
thf(f26521,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_212
| ~ spl0_344 ),
inference(constrained_superposition,[],[f26493,f17614]) ).
thf(f26533,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_212
| ~ spl0_344 ),
inference(trivial_inequality_removal,[],[f26521]) ).
thf(f26535,plain,
( $false
| ~ spl0_4
| ~ spl0_212
| ~ spl0_344 ),
inference(forward_subsumption_resolution,[],[f26533,f81]) ).
thf(f26536,plain,
( ~ spl0_4
| ~ spl0_212
| ~ spl0_344 ),
inference(avatar_contradiction_clause,[],[f26535]) ).
thf(f26710,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_203
| ~ spl0_207 ),
inference(constrained_superposition,[],[f26307,f11667]) ).
thf(f26718,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_203
| ~ spl0_207 ),
inference(trivial_inequality_removal,[],[f26710]) ).
thf(f26724,plain,
( $false
| ~ spl0_203
| ~ spl0_207
| ~ spl0_293 ),
inference(forward_subsumption_resolution,[],[f26718,f15470]) ).
thf(f26725,plain,
( ~ spl0_203
| ~ spl0_207
| ~ spl0_293 ),
inference(avatar_contradiction_clause,[],[f26724]) ).
thf(f26748,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_162
| ~ spl0_221 ),
inference(constrained_superposition,[],[f26301,f8526]) ).
thf(f26755,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_162
| ~ spl0_221 ),
inference(trivial_inequality_removal,[],[f26748]) ).
thf(f26766,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_162
| ~ spl0_221 ),
inference(constrained_superposition,[],[f26755,f495]) ).
thf(f26768,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_162
| ~ spl0_221 ),
inference(trivial_inequality_removal,[],[f26766]) ).
thf(f26777,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_195
| ~ spl0_377 ),
inference(constrained_superposition,[],[f26511,f11622]) ).
thf(f26784,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_195
| ~ spl0_377 ),
inference(trivial_inequality_removal,[],[f26777]) ).
thf(f26790,plain,
( $false
| ~ spl0_195
| ~ spl0_294
| ~ spl0_377 ),
inference(forward_subsumption_resolution,[],[f26784,f15478]) ).
thf(f26791,plain,
( ~ spl0_195
| ~ spl0_294
| ~ spl0_377 ),
inference(avatar_contradiction_clause,[],[f26790]) ).
thf(f26794,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| spl0_13
| ~ spl0_162
| ~ spl0_221 ),
inference(forward_subsumption_resolution,[],[f26768,f1067]) ).
thf(f26798,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| spl0_12
| spl0_13
| ~ spl0_162
| ~ spl0_221 ),
inference(forward_subsumption_resolution,[],[f26794,f879]) ).
thf(f26799,plain,
( spl0_41
| spl0_78
| spl0_12
| spl0_13
| ~ spl0_162
| ~ spl0_221 ),
inference(avatar_split_clause,[],[f26798,f12231,f8525,f205,f201,f5621,f577]) ).
thf(f26826,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_148 ),
inference(constrained_superposition,[],[f25,f8030]) ).
thf(f26827,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_148 ),
inference(trivial_inequality_removal,[],[f26826]) ).
thf(f26869,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true ) )
| ~ spl0_26 ),
inference(constrained_superposition,[],[f337,f26]) ).
thf(f26872,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true ) )
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f26869]) ).
thf(f26880,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_42 ),
inference(constrained_superposition,[],[f584,f147]) ).
thf(f26885,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f26880]) ).
thf(f26907,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_337
| ~ spl0_378 ),
inference(constrained_superposition,[],[f16992,f18255]) ).
thf(f26910,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_337
| ~ spl0_378 ),
inference(trivial_inequality_removal,[],[f26907]) ).
thf(f26913,plain,
( $false
| ~ spl0_337
| ~ spl0_356
| ~ spl0_378 ),
inference(forward_subsumption_resolution,[],[f26910,f17916]) ).
thf(f26914,plain,
( ~ spl0_337
| ~ spl0_356
| ~ spl0_378 ),
inference(avatar_contradiction_clause,[],[f26913]) ).
thf(f26918,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true != $true )
| spl0_18
| ~ spl0_44 ),
inference(constrained_superposition,[],[f14976,f613]) ).
thf(f26924,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_18
| ~ spl0_44 ),
inference(trivial_inequality_removal,[],[f26918]) ).
thf(f26930,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_13
| spl0_18
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f26924,f1067]) ).
thf(f26932,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_13
| spl0_18
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f26930,f24]) ).
thf(f26934,plain,
( spl0_41
| spl0_13
| spl0_18
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f26932,f612,f222,f205,f577]) ).
thf(f27015,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_202 ),
inference(constrained_superposition,[],[f330,f11664]) ).
thf(f27016,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_202 ),
inference(constrained_superposition,[],[f195,f11664]) ).
thf(f27019,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_202 ),
inference(constrained_superposition,[],[f396,f11664]) ).
thf(f27020,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_202 ),
inference(constrained_superposition,[],[f52,f11664]) ).
thf(f27028,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_202 ),
inference(trivial_inequality_removal,[],[f27020]) ).
thf(f27036,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_202 ),
inference(trivial_inequality_removal,[],[f27019]) ).
thf(f27040,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_202 ),
inference(trivial_inequality_removal,[],[f27016]) ).
thf(f27042,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_202 ),
inference(trivial_inequality_removal,[],[f27015]) ).
thf(f27045,plain,
( spl0_162
| ~ spl0_387
| spl0_386
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f27040,f11663,f19404,f19407,f8525]) ).
thf(f27060,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_193
| ~ spl0_294 ),
inference(constrained_superposition,[],[f25889,f11615]) ).
thf(f27061,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_148
| ~ spl0_193 ),
inference(constrained_superposition,[],[f26827,f11615]) ).
thf(f27062,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_193
| ~ spl0_221 ),
inference(constrained_superposition,[],[f26301,f11615]) ).
thf(f27067,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_193
| ~ spl0_221 ),
inference(trivial_inequality_removal,[],[f27062]) ).
thf(f27068,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_193
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f27060]) ).
thf(f27069,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_148
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f27061]) ).
thf(f27070,plain,
( $false
| ~ spl0_193
| ~ spl0_294
| ~ spl0_357 ),
inference(forward_subsumption_resolution,[],[f27068,f18259]) ).
thf(f27071,plain,
( ~ spl0_193
| ~ spl0_294
| ~ spl0_357 ),
inference(avatar_contradiction_clause,[],[f27070]) ).
thf(f27072,plain,
( spl0_294
| spl0_165
| ~ spl0_387
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f27042,f11663,f19407,f8591,f15477]) ).
thf(f27073,plain,
( spl0_178
| spl0_238
| ~ spl0_346
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f27028,f11663,f17620,f13348,f9760]) ).
thf(f27078,plain,
( spl0_373
| spl0_178
| ~ spl0_346
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f27036,f11663,f17620,f9760,f18130]) ).
thf(f27098,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_238 ),
inference(constrained_superposition,[],[f25,f13349]) ).
thf(f27099,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_238 ),
inference(trivial_inequality_removal,[],[f27098]) ).
thf(f27108,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_151 ),
inference(constrained_superposition,[],[f8085,f26]) ).
thf(f27110,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_151 ),
inference(trivial_inequality_removal,[],[f27108]) ).
thf(f27114,plain,
( spl0_162
| spl0_218
| spl0_151 ),
inference(avatar_split_clause,[],[f27110,f8084,f11806,f8525]) ).
thf(f27162,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_148
| ~ spl0_238 ),
inference(constrained_superposition,[],[f27099,f8030]) ).
thf(f27171,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_148
| ~ spl0_238 ),
inference(trivial_inequality_removal,[],[f27162]) ).
thf(f27172,plain,
( $false
| ~ spl0_1
| ~ spl0_148
| ~ spl0_238 ),
inference(forward_subsumption_resolution,[],[f27171,f71]) ).
thf(f27173,plain,
( ~ spl0_1
| ~ spl0_148
| ~ spl0_238 ),
inference(avatar_contradiction_clause,[],[f27172]) ).
thf(f27247,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_203 ),
inference(constrained_superposition,[],[f25,f11667]) ).
thf(f27250,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f27247]) ).
thf(f27251,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_193
| ~ spl0_221 ),
inference(constrained_superposition,[],[f27067,f495]) ).
thf(f27253,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_193
| ~ spl0_221 ),
inference(trivial_inequality_removal,[],[f27251]) ).
thf(f27291,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_195 ),
inference(constrained_superposition,[],[f25,f11622]) ).
thf(f27293,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f27291]) ).
thf(f27389,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_42 ),
inference(constrained_superposition,[],[f26885,f56]) ).
thf(f27392,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f27389]) ).
thf(f27395,plain,
( spl0_48
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f27392,f583,f701]) ).
thf(f27419,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_386 ),
inference(constrained_superposition,[],[f19405,f55]) ).
thf(f27421,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_386 ),
inference(constrained_superposition,[],[f19405,f33]) ).
thf(f27425,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_386 ),
inference(trivial_inequality_removal,[],[f27419]) ).
thf(f27428,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_386 ),
inference(trivial_inequality_removal,[],[f27421]) ).
thf(f27433,definition,
( spl0_442
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_442])],[avatar_definition]) ).
thf(f27434,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_442 ),
inference(avatar_component_clause,[],[f27433]) ).
thf(f27435,plain,
( spl0_212
| ~ spl0_442
| ~ spl0_386 ),
inference(avatar_split_clause,[],[f27425,f19404,f27433,f11744]) ).
thf(f27437,definition,
( spl0_443
<=> ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_443])],[avatar_definition]) ).
thf(f27438,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_443 ),
inference(avatar_component_clause,[],[f27437]) ).
thf(f27439,plain,
( ~ spl0_443
| spl0_344
| ~ spl0_386 ),
inference(avatar_split_clause,[],[f27428,f19404,f17613,f27437]) ).
thf(f27441,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_443 ),
inference(constrained_superposition,[],[f27438,f26]) ).
thf(f27442,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_443 ),
inference(trivial_inequality_removal,[],[f27441]) ).
thf(f27444,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_238
| spl0_443 ),
inference(forward_subsumption_resolution,[],[f27442,f16684]) ).
thf(f27447,plain,
( $false
| spl0_238
| spl0_443 ),
inference(forward_subsumption_resolution,[],[f27444,f24]) ).
thf(f27448,plain,
( spl0_238
| spl0_443 ),
inference(avatar_contradiction_clause,[],[f27447]) ).
thf(f27450,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_442 ),
inference(constrained_superposition,[],[f27434,f34]) ).
thf(f27454,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_442 ),
inference(trivial_inequality_removal,[],[f27450]) ).
thf(f27458,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_442 ),
inference(forward_subsumption_resolution,[],[f27454,f24]) ).
thf(f27460,plain,
( $false
| spl0_230
| spl0_442 ),
inference(forward_subsumption_resolution,[],[f27458,f23007]) ).
thf(f27461,plain,
( spl0_230
| spl0_442 ),
inference(avatar_contradiction_clause,[],[f27460]) ).
thf(f27480,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_203
| ~ spl0_207 ),
inference(constrained_superposition,[],[f27250,f11727]) ).
thf(f27482,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_197
| ~ spl0_203 ),
inference(constrained_superposition,[],[f27250,f11646]) ).
thf(f27483,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_163
| ~ spl0_203 ),
inference(constrained_superposition,[],[f27250,f8541]) ).
thf(f27487,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_197
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f27482]) ).
thf(f27490,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_163
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f27483]) ).
thf(f27491,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_203
| ~ spl0_207 ),
inference(trivial_inequality_removal,[],[f27480]) ).
thf(f27494,plain,
( $false
| ~ spl0_193
| ~ spl0_197
| ~ spl0_203 ),
inference(forward_subsumption_resolution,[],[f27487,f11615]) ).
thf(f27495,plain,
( ~ spl0_193
| ~ spl0_197
| ~ spl0_203 ),
inference(avatar_contradiction_clause,[],[f27494]) ).
thf(f27500,plain,
( $false
| ~ spl0_162
| ~ spl0_163
| ~ spl0_203 ),
inference(forward_subsumption_resolution,[],[f27490,f8526]) ).
thf(f27501,plain,
( ~ spl0_162
| ~ spl0_163
| ~ spl0_203 ),
inference(avatar_contradiction_clause,[],[f27500]) ).
thf(f27502,plain,
( $false
| ~ spl0_203
| ~ spl0_207
| ~ spl0_221 ),
inference(forward_subsumption_resolution,[],[f27491,f12232]) ).
thf(f27503,plain,
( ~ spl0_203
| ~ spl0_207
| ~ spl0_221 ),
inference(avatar_contradiction_clause,[],[f27502]) ).
thf(f27506,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_193
| ~ spl0_221
| spl0_356 ),
inference(forward_subsumption_resolution,[],[f27253,f17893]) ).
thf(f27507,plain,
( $false
| ~ spl0_193
| ~ spl0_221
| ~ spl0_368 ),
inference(forward_subsumption_resolution,[],[f18013,f27067]) ).
thf(f27508,plain,
( ~ spl0_193
| ~ spl0_221
| ~ spl0_368 ),
inference(avatar_contradiction_clause,[],[f27507]) ).
thf(f27510,plain,
( ~ spl0_378
| ~ spl0_148
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f27069,f11614,f8029,f18254]) ).
thf(f27513,plain,
( spl0_219
| spl0_78
| spl0_360
| ~ spl0_193
| ~ spl0_221
| spl0_356 ),
inference(avatar_split_clause,[],[f27506,f17892,f12231,f11614,f17914,f5621,f11991]) ).
thf(f27529,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_203
| ~ spl0_212 ),
inference(constrained_superposition,[],[f27250,f11745]) ).
thf(f27534,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_203
| ~ spl0_212 ),
inference(trivial_inequality_removal,[],[f27529]) ).
thf(f27537,plain,
( $false
| ~ spl0_148
| ~ spl0_203
| ~ spl0_212 ),
inference(forward_subsumption_resolution,[],[f27534,f8030]) ).
thf(f27538,plain,
( ~ spl0_148
| ~ spl0_203
| ~ spl0_212 ),
inference(avatar_contradiction_clause,[],[f27537]) ).
thf(f27547,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_52
| spl0_78 ),
inference(constrained_superposition,[],[f20647,f877]) ).
thf(f27548,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_52
| ~ spl0_203 ),
inference(constrained_superposition,[],[f27250,f877]) ).
thf(f27557,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_52
| spl0_78 ),
inference(trivial_inequality_removal,[],[f27547]) ).
thf(f27560,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_52
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f27548]) ).
thf(f27561,plain,
( $false
| ~ spl0_52
| spl0_78
| spl0_104 ),
inference(forward_subsumption_resolution,[],[f27557,f11557]) ).
thf(f27562,plain,
( ~ spl0_52
| spl0_78
| spl0_104 ),
inference(avatar_contradiction_clause,[],[f27561]) ).
thf(f27564,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_178 ),
inference(avatar_component_clause,[],[f9760]) ).
thf(f27565,plain,
( spl0_219
| ~ spl0_178
| ~ spl0_52
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f27560,f11666,f876,f9760,f11991]) ).
thf(f27586,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_360 ),
inference(constrained_superposition,[],[f25,f17915]) ).
thf(f27587,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_360 ),
inference(trivial_inequality_removal,[],[f27586]) ).
thf(f27659,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_374 ),
inference(constrained_superposition,[],[f18136,f4409]) ).
thf(f27674,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_374 ),
inference(trivial_inequality_removal,[],[f27659]) ).
thf(f27675,plain,
( ~ spl0_84
| spl0_207
| ~ spl0_374 ),
inference(avatar_split_clause,[],[f27674,f18135,f11726,f5642]) ).
thf(f27726,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_360
| ~ spl0_377 ),
inference(constrained_superposition,[],[f27587,f18248]) ).
thf(f27734,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_360
| ~ spl0_377 ),
inference(trivial_inequality_removal,[],[f27726]) ).
thf(f27736,plain,
( $false
| ~ spl0_12
| ~ spl0_360
| ~ spl0_377 ),
inference(forward_subsumption_resolution,[],[f27734,f202]) ).
thf(f27737,plain,
( ~ spl0_12
| ~ spl0_360
| ~ spl0_377 ),
inference(avatar_contradiction_clause,[],[f27736]) ).
thf(f27809,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_198 ),
inference(constrained_superposition,[],[f5608,f11650]) ).
thf(f27810,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_198 ),
inference(constrained_superposition,[],[f6053,f11650]) ).
thf(f27814,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_198 ),
inference(constrained_superposition,[],[f107,f11650]) ).
thf(f27815,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_198 ),
inference(constrained_superposition,[],[f66,f11650]) ).
thf(f27816,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ X0 ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( z = X0 ) )
| ~ spl0_198 ),
inference(constrained_superposition,[],[f396,f11650]) ).
thf(f27819,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_198 ),
inference(constrained_superposition,[],[f40,f11650]) ).
thf(f27825,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f27809]) ).
thf(f27827,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f27819]) ).
thf(f27828,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f27814]) ).
thf(f27831,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ z @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f27816]) ).
thf(f27833,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f27810]) ).
thf(f27836,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f27815]) ).
thf(f27842,plain,
( spl0_206
| spl0_207
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f27825,f11649,f11726,f11723]) ).
thf(f27843,plain,
( spl0_212
| spl0_211
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f27836,f11649,f11741,f11744]) ).
thf(f27845,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_202
| ~ spl0_374 ),
inference(constrained_superposition,[],[f18136,f11664]) ).
thf(f27855,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_202 ),
inference(constrained_superposition,[],[f47,f11664]) ).
thf(f27873,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_202 ),
inference(trivial_inequality_removal,[],[f27855]) ).
thf(f27874,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_202
| ~ spl0_374 ),
inference(trivial_inequality_removal,[],[f27845]) ).
thf(f27880,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_178
| ~ spl0_202 ),
inference(forward_subsumption_resolution,[],[f27873,f27564]) ).
thf(f27881,plain,
( ~ spl0_155
| ~ spl0_202
| ~ spl0_374 ),
inference(avatar_split_clause,[],[f27874,f18135,f11663,f8133]) ).
thf(f27882,plain,
( spl0_347
| spl0_178
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f27880,f11663,f9760,f17625]) ).
thf(f27890,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_193
| ~ spl0_221 ),
inference(constrained_superposition,[],[f26301,f11615]) ).
thf(f27897,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_193
| ~ spl0_221 ),
inference(trivial_inequality_removal,[],[f27890]) ).
thf(f27906,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_197 ),
inference(constrained_superposition,[],[f25,f11646]) ).
thf(f27908,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f27906]) ).
thf(f27916,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_376 ),
inference(constrained_superposition,[],[f18245,f32]) ).
thf(f27928,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_376 ),
inference(trivial_inequality_removal,[],[f27916]) ).
thf(f27932,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_356
| ~ spl0_376 ),
inference(forward_subsumption_resolution,[],[f27928,f17893]) ).
thf(f27933,plain,
( ~ spl0_155
| spl0_356
| ~ spl0_376 ),
inference(avatar_split_clause,[],[f27932,f18244,f17892,f8133]) ).
thf(f27934,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_388 ),
inference(constrained_superposition,[],[f19561,f4409]) ).
thf(f27935,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_388 ),
inference(constrained_superposition,[],[f19561,f147]) ).
thf(f27946,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_388 ),
inference(trivial_inequality_removal,[],[f27935]) ).
thf(f27948,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_388 ),
inference(trivial_inequality_removal,[],[f27934]) ).
thf(f27952,definition,
( spl0_447
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_447])],[avatar_definition]) ).
thf(f27953,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_447 ),
inference(avatar_component_clause,[],[f27952]) ).
thf(f27954,plain,
( ~ spl0_447
| spl0_377
| ~ spl0_388 ),
inference(avatar_split_clause,[],[f27946,f19560,f18247,f27952]) ).
thf(f27956,definition,
( spl0_448
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_448])],[avatar_definition]) ).
thf(f27957,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_448 ),
inference(avatar_component_clause,[],[f27956]) ).
thf(f27958,plain,
( ~ spl0_448
| spl0_366
| ~ spl0_388 ),
inference(avatar_split_clause,[],[f27948,f19560,f18004,f27956]) ).
thf(f28002,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_403 ),
inference(constrained_superposition,[],[f20749,f4410]) ).
thf(f28003,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_403 ),
inference(constrained_superposition,[],[f20749,f148]) ).
thf(f28004,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_403 ),
inference(constrained_superposition,[],[f20749,f56]) ).
thf(f28007,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_403 ),
inference(trivial_inequality_removal,[],[f28004]) ).
thf(f28008,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_403 ),
inference(trivial_inequality_removal,[],[f28003]) ).
thf(f28012,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_403 ),
inference(trivial_inequality_removal,[],[f28002]) ).
thf(f28014,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| spl0_378
| ~ spl0_403 ),
inference(forward_subsumption_resolution,[],[f28007,f18860]) ).
thf(f28015,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_357
| ~ spl0_403 ),
inference(forward_subsumption_resolution,[],[f28008,f17898]) ).
thf(f28016,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_193
| ~ spl0_221
| ~ spl0_403 ),
inference(forward_subsumption_resolution,[],[f28012,f27897]) ).
thf(f28017,plain,
( ~ spl0_354
| spl0_378
| ~ spl0_403 ),
inference(avatar_split_clause,[],[f28014,f20748,f18254,f17852]) ).
thf(f28018,plain,
( ~ spl0_387
| spl0_357
| ~ spl0_403 ),
inference(avatar_split_clause,[],[f28015,f20748,f17897,f19407]) ).
thf(f28019,plain,
( ~ spl0_353
| ~ spl0_193
| ~ spl0_221
| ~ spl0_403 ),
inference(avatar_split_clause,[],[f28016,f20748,f12231,f11614,f17847]) ).
thf(f28021,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_413 ),
inference(constrained_superposition,[],[f22250,f147]) ).
thf(f28023,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_413 ),
inference(constrained_superposition,[],[f22250,f55]) ).
thf(f28034,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_413 ),
inference(trivial_inequality_removal,[],[f28023]) ).
thf(f28035,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_413 ),
inference(trivial_inequality_removal,[],[f28021]) ).
thf(f28041,definition,
( spl0_453
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_453])],[avatar_definition]) ).
thf(f28042,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_453 ),
inference(avatar_component_clause,[],[f28041]) ).
thf(f28045,definition,
( spl0_454
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_454])],[avatar_definition]) ).
thf(f28046,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_454 ),
inference(avatar_component_clause,[],[f28045]) ).
thf(f28047,plain,
( spl0_364
| ~ spl0_454
| ~ spl0_413 ),
inference(avatar_split_clause,[],[f28034,f22249,f28045,f17997]) ).
thf(f28049,definition,
( spl0_455
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_455])],[avatar_definition]) ).
thf(f28050,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_455 ),
inference(avatar_component_clause,[],[f28049]) ).
thf(f28051,plain,
( ~ spl0_455
| spl0_377
| ~ spl0_413 ),
inference(avatar_split_clause,[],[f28035,f22249,f18247,f28049]) ).
thf(f28057,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_454 ),
inference(constrained_superposition,[],[f28046,f34]) ).
thf(f28061,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_454 ),
inference(trivial_inequality_removal,[],[f28057]) ).
thf(f28065,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_454 ),
inference(forward_subsumption_resolution,[],[f28061,f24]) ).
thf(f28067,plain,
( $false
| spl0_214
| spl0_454 ),
inference(forward_subsumption_resolution,[],[f28065,f19266]) ).
thf(f28068,plain,
( spl0_214
| spl0_454 ),
inference(avatar_contradiction_clause,[],[f28067]) ).
thf(f28070,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| spl0_455 ),
inference(constrained_superposition,[],[f28050,f53]) ).
thf(f28076,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_455 ),
inference(trivial_inequality_removal,[],[f28070]) ).
thf(f28081,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_208
| spl0_455 ),
inference(forward_subsumption_resolution,[],[f28076,f13227]) ).
thf(f28084,plain,
( $false
| spl0_208
| spl0_455 ),
inference(forward_subsumption_resolution,[],[f28081,f24]) ).
thf(f28085,plain,
( spl0_208
| spl0_455 ),
inference(avatar_contradiction_clause,[],[f28084]) ).
thf(f28086,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_453 ),
inference(constrained_superposition,[],[f28042,f4410]) ).
thf(f28093,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_453 ),
inference(trivial_inequality_removal,[],[f28086]) ).
thf(f28098,plain,
( spl0_216
| spl0_453 ),
inference(avatar_split_clause,[],[f28093,f28041,f11760]) ).
thf(f28102,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_195
| ~ spl0_197 ),
inference(constrained_superposition,[],[f27908,f11622]) ).
thf(f28109,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_195
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f28102]) ).
thf(f28293,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_347 ),
inference(constrained_superposition,[],[f17626,f148]) ).
thf(f28301,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_347 ),
inference(trivial_inequality_removal,[],[f28293]) ).
thf(f28305,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_211 ),
inference(constrained_superposition,[],[f11742,f32]) ).
thf(f28310,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_211 ),
inference(constrained_superposition,[],[f11742,f4410]) ).
thf(f28311,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_211 ),
inference(constrained_superposition,[],[f11742,f148]) ).
thf(f28314,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_211 ),
inference(trivial_inequality_removal,[],[f28305]) ).
thf(f28318,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_211 ),
inference(trivial_inequality_removal,[],[f28311]) ).
thf(f28319,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_211 ),
inference(trivial_inequality_removal,[],[f28310]) ).
thf(f28323,plain,
( spl0_216
| ~ spl0_448
| ~ spl0_95
| ~ spl0_211 ),
inference(avatar_split_clause,[],[f28319,f11741,f6083,f27956,f11760]) ).
thf(f28325,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| spl0_447 ),
inference(constrained_superposition,[],[f27953,f148]) ).
thf(f28327,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_447 ),
inference(constrained_superposition,[],[f27953,f34]) ).
thf(f28329,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_447 ),
inference(trivial_inequality_removal,[],[f28325]) ).
thf(f28332,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_447 ),
inference(trivial_inequality_removal,[],[f28327]) ).
thf(f28333,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_448 ),
inference(constrained_superposition,[],[f27957,f4410]) ).
thf(f28336,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| spl0_448 ),
inference(constrained_superposition,[],[f27957,f34]) ).
thf(f28338,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_448 ),
inference(trivial_inequality_removal,[],[f28336]) ).
thf(f28341,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_448 ),
inference(trivial_inequality_removal,[],[f28333]) ).
thf(f28348,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_371 ),
inference(constrained_superposition,[],[f18025,f4410]) ).
thf(f28349,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_371 ),
inference(constrained_superposition,[],[f18025,f148]) ).
thf(f28357,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_371 ),
inference(trivial_inequality_removal,[],[f28348]) ).
thf(f28358,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_371 ),
inference(trivial_inequality_removal,[],[f28349]) ).
thf(f28365,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_363 ),
inference(constrained_superposition,[],[f17995,f32]) ).
thf(f28369,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_363 ),
inference(constrained_superposition,[],[f17995,f4410]) ).
thf(f28370,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_363 ),
inference(constrained_superposition,[],[f17995,f148]) ).
thf(f28372,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_363 ),
inference(trivial_inequality_removal,[],[f28370]) ).
thf(f28378,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_363 ),
inference(trivial_inequality_removal,[],[f28365]) ).
thf(f28379,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_363 ),
inference(trivial_inequality_removal,[],[f28369]) ).
thf(f28385,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_420 ),
inference(constrained_superposition,[],[f23573,f4410]) ).
thf(f28395,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_420 ),
inference(trivial_inequality_removal,[],[f28385]) ).
thf(f28404,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_206 ),
inference(constrained_superposition,[],[f11724,f32]) ).
thf(f28411,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_206 ),
inference(constrained_superposition,[],[f11724,f56]) ).
thf(f28414,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_206 ),
inference(trivial_inequality_removal,[],[f28404]) ).
thf(f28420,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_206 ),
inference(trivial_inequality_removal,[],[f28411]) ).
thf(f28421,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_206
| spl0_214 ),
inference(forward_subsumption_resolution,[],[f28420,f19266]) ).
thf(f28422,plain,
( ~ spl0_442
| ~ spl0_101
| ~ spl0_206
| spl0_214 ),
inference(avatar_split_clause,[],[f28421,f11752,f11723,f6170,f27433]) ).
thf(f28435,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_407 ),
inference(constrained_superposition,[],[f21213,f148]) ).
thf(f28442,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_407 ),
inference(trivial_inequality_removal,[],[f28435]) ).
thf(f28446,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_357
| ~ spl0_407 ),
inference(forward_subsumption_resolution,[],[f28442,f17898]) ).
thf(f28448,plain,
( ~ spl0_27
| ~ spl0_455
| spl0_357
| ~ spl0_407 ),
inference(avatar_split_clause,[],[f28446,f21212,f17897,f28049,f339]) ).
thf(f28450,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_365 ),
inference(constrained_superposition,[],[f18002,f32]) ).
thf(f28463,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_365 ),
inference(trivial_inequality_removal,[],[f28450]) ).
thf(f28465,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_356
| ~ spl0_365 ),
inference(forward_subsumption_resolution,[],[f28463,f17893]) ).
thf(f28466,plain,
( ~ spl0_443
| ~ spl0_235
| spl0_356
| ~ spl0_365 ),
inference(avatar_split_clause,[],[f28465,f18001,f17892,f13333,f27437]) ).
thf(f29058,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
!= ( s @ z ) )
| spl0_217 ),
inference(avatar_component_clause,[],[f11776]) ).
thf(f29064,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_217 ),
inference(extensionality_resolution,[],[f495,f29058]) ).
thf(f29065,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_217 ),
inference(extensionality_resolution,[],[f495,f29058]) ).
thf(f29386,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_248
| spl0_356 ),
inference(constrained_superposition,[],[f17893,f13945]) ).
thf(f29387,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| spl0_238
| ~ spl0_248 ),
inference(constrained_superposition,[],[f16684,f13945]) ).
thf(f29392,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| spl0_238
| ~ spl0_248 ),
inference(trivial_inequality_removal,[],[f29387]) ).
thf(f29397,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_248
| spl0_356 ),
inference(trivial_inequality_removal,[],[f29386]) ).
thf(f29399,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_217
| spl0_238
| ~ spl0_248 ),
inference(forward_subsumption_resolution,[],[f29392,f29058]) ).
thf(f29401,plain,
( spl0_359
| spl0_361
| ~ spl0_248
| spl0_356 ),
inference(avatar_split_clause,[],[f29397,f17892,f13944,f17930,f17908]) ).
thf(f29403,plain,
( spl0_218
| spl0_217
| spl0_238
| ~ spl0_248 ),
inference(avatar_split_clause,[],[f29399,f13944,f13348,f11776,f11806]) ).
thf(f30014,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_221
| ~ spl0_290 ),
inference(constrained_superposition,[],[f12232,f15414]) ).
thf(f30422,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_221
| ~ spl0_290 ),
inference(forward_subsumption_resolution,[],[f30014,f23]) ).
thf(f30494,plain,
( $false
| ~ spl0_221
| spl0_238
| ~ spl0_290 ),
inference(forward_subsumption_resolution,[],[f30422,f16684]) ).
thf(f30495,plain,
( ~ spl0_221
| spl0_238
| ~ spl0_290 ),
inference(avatar_contradiction_clause,[],[f30494]) ).
thf(f30526,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_32 ),
inference(constrained_superposition,[],[f26266,f26]) ).
thf(f30529,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f30526]) ).
thf(f30530,plain,
( spl0_245
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f30529,f357,f13891]) ).
thf(f30531,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true != $true )
| ~ spl0_47
| ~ spl0_230 ),
inference(constrained_superposition,[],[f675,f13226]) ).
thf(f30536,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_47
| ~ spl0_230 ),
inference(trivial_inequality_removal,[],[f30531]) ).
thf(f30538,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_47
| spl0_178
| ~ spl0_230 ),
inference(forward_subsumption_resolution,[],[f30536,f27564]) ).
thf(f30539,plain,
( $false
| ~ spl0_47
| spl0_98
| spl0_178
| ~ spl0_230 ),
inference(forward_subsumption_resolution,[],[f30538,f11543]) ).
thf(f30540,plain,
( ~ spl0_47
| spl0_98
| spl0_178
| ~ spl0_230 ),
inference(avatar_contradiction_clause,[],[f30539]) ).
thf(f30577,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_345 ),
inference(constrained_superposition,[],[f17617,f4409]) ).
thf(f30580,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| ~ spl0_345 ),
inference(constrained_superposition,[],[f17617,f55]) ).
thf(f30584,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ~ spl0_345 ),
inference(trivial_inequality_removal,[],[f30580]) ).
thf(f30587,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_345 ),
inference(trivial_inequality_removal,[],[f30577]) ).
thf(f30598,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_197
| ~ spl0_322 ),
inference(constrained_superposition,[],[f27908,f16736]) ).
thf(f30599,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_195
| ~ spl0_322 ),
inference(constrained_superposition,[],[f27293,f16736]) ).
thf(f30610,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_197
| ~ spl0_322 ),
inference(trivial_inequality_removal,[],[f30598]) ).
thf(f30618,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_195
| ~ spl0_322 ),
inference(trivial_inequality_removal,[],[f30599]) ).
thf(f30621,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| spl0_212 ),
inference(avatar_component_clause,[],[f11744]) ).
thf(f30622,plain,
( spl0_360
| ~ spl0_212
| ~ spl0_197
| ~ spl0_322 ),
inference(avatar_split_clause,[],[f30610,f16735,f11645,f11744,f17914]) ).
thf(f30624,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_148
| ~ spl0_195
| ~ spl0_322 ),
inference(forward_subsumption_resolution,[],[f30618,f8030]) ).
thf(f30627,plain,
( spl0_360
| ~ spl0_148
| ~ spl0_195
| ~ spl0_322 ),
inference(avatar_split_clause,[],[f30624,f16735,f11621,f8029,f17914]) ).
thf(f30822,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= ( s @ z ) )
| spl0_222 ),
inference(avatar_component_clause,[],[f12431]) ).
thf(f30828,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| spl0_222 ),
inference(extensionality_resolution,[],[f495,f30822]) ).
thf(f30829,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_222 ),
inference(extensionality_resolution,[],[f495,f30822]) ).
thf(f31204,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_108
| ~ spl0_293 ),
inference(constrained_superposition,[],[f15470,f6568]) ).
thf(f31206,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_108
| spl0_238 ),
inference(constrained_superposition,[],[f16684,f6568]) ).
thf(f31306,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ z ) )
| ~ spl0_108
| ~ spl0_197 ),
inference(constrained_superposition,[],[f11646,f6568]) ).
thf(f31308,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ z ) )
| ~ spl0_108
| spl0_356 ),
inference(constrained_superposition,[],[f17893,f6568]) ).
thf(f31607,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_108
| ~ spl0_197
| spl0_356 ),
inference(forward_subsumption_resolution,[],[f31306,f17893]) ).
thf(f31608,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ z ) )
| ~ spl0_108
| spl0_356 ),
inference(forward_subsumption_resolution,[],[f31308,f17893]) ).
thf(f31651,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_108
| ~ spl0_293 ),
inference(forward_subsumption_resolution,[],[f31204,f23]) ).
thf(f31655,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_108
| spl0_217
| spl0_238 ),
inference(forward_subsumption_resolution,[],[f31206,f29058]) ).
thf(f31710,definition,
( spl0_500
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_500])],[avatar_definition]) ).
thf(f31711,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_500 ),
inference(avatar_component_clause,[],[f31710]) ).
thf(f31721,plain,
( spl0_359
| spl0_207
| ~ spl0_108
| ~ spl0_197
| spl0_356 ),
inference(avatar_split_clause,[],[f31607,f17892,f11645,f6567,f11726,f17908]) ).
thf(f31722,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ z ) )
| ~ spl0_108
| ~ spl0_233
| spl0_356 ),
inference(forward_subsumption_resolution,[],[f31608,f13316]) ).
thf(f31763,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_108
| spl0_238
| ~ spl0_293 ),
inference(forward_subsumption_resolution,[],[f31651,f16684]) ).
thf(f31767,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_108
| spl0_217
| ~ spl0_233
| spl0_238 ),
inference(forward_subsumption_resolution,[],[f31655,f13316]) ).
thf(f31791,definition,
( spl0_504
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_504])],[avatar_definition]) ).
thf(f31792,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_504 ),
inference(avatar_component_clause,[],[f31791]) ).
thf(f31812,plain,
( spl0_359
| ~ spl0_108
| ~ spl0_233
| spl0_356 ),
inference(avatar_split_clause,[],[f31722,f17892,f13315,f6567,f17908]) ).
thf(f31841,plain,
( $false
| ~ spl0_108
| spl0_217
| spl0_238
| ~ spl0_293 ),
inference(forward_subsumption_resolution,[],[f31763,f29058]) ).
thf(f31842,plain,
( ~ spl0_108
| spl0_217
| spl0_238
| ~ spl0_293 ),
inference(avatar_contradiction_clause,[],[f31841]) ).
thf(f31847,plain,
( $false
| ~ spl0_108
| spl0_217
| ~ spl0_233
| spl0_238 ),
inference(forward_subsumption_resolution,[],[f31767,f16684]) ).
thf(f31848,plain,
( ~ spl0_108
| spl0_217
| ~ spl0_233
| spl0_238 ),
inference(avatar_contradiction_clause,[],[f31847]) ).
thf(f33452,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_216 ),
inference(avatar_component_clause,[],[f11760]) ).
thf(f33465,definition,
( spl0_543
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_543])],[avatar_definition]) ).
thf(f33466,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_543 ),
inference(avatar_component_clause,[],[f33465]) ).
thf(f33535,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_245
| spl0_357 ),
inference(constrained_superposition,[],[f17898,f13892]) ).
thf(f33546,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_245
| spl0_357 ),
inference(trivial_inequality_removal,[],[f33535]) ).
thf(f33548,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_245
| spl0_357 ),
inference(forward_subsumption_resolution,[],[f33546,f24]) ).
thf(f33550,plain,
( spl0_361
| spl0_360
| ~ spl0_245
| spl0_357 ),
inference(avatar_split_clause,[],[f33548,f17897,f13891,f17914,f17930]) ).
thf(f33606,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_361 ),
inference(constrained_superposition,[],[f4410,f17931]) ).
thf(f33757,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_361 ),
inference(forward_subsumption_resolution,[],[f33606,f23]) ).
thf(f33777,plain,
( $false
| ~ spl0_361 ),
inference(forward_subsumption_resolution,[],[f33757,f27]) ).
thf(f33778,plain,
~ spl0_361,
inference(avatar_contradiction_clause,[],[f33777]) ).
thf(f33835,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_26 ),
inference(constrained_superposition,[],[f26872,f26]) ).
thf(f33840,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f33835]) ).
thf(f33872,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_202
| ~ spl0_373 ),
inference(constrained_superposition,[],[f18131,f11664]) ).
thf(f33874,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_373 ),
inference(constrained_superposition,[],[f18131,f147]) ).
thf(f33883,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_202
| ~ spl0_373 ),
inference(trivial_inequality_removal,[],[f33872]) ).
thf(f33885,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_373 ),
inference(trivial_inequality_removal,[],[f33874]) ).
thf(f33890,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_202
| spl0_238
| ~ spl0_373 ),
inference(forward_subsumption_resolution,[],[f33883,f16684]) ).
thf(f33892,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_373 ),
inference(forward_subsumption_resolution,[],[f33885,f24]) ).
thf(f33893,plain,
( $false
| ~ spl0_202
| spl0_238
| ~ spl0_373 ),
inference(forward_subsumption_resolution,[],[f33890,f24]) ).
thf(f33894,plain,
( ~ spl0_202
| spl0_238
| ~ spl0_373 ),
inference(avatar_contradiction_clause,[],[f33893]) ).
thf(f33895,plain,
( spl0_12
| spl0_163
| ~ spl0_373 ),
inference(avatar_split_clause,[],[f33892,f18130,f8540,f201]) ).
thf(f34545,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_294
| ~ spl0_381 ),
inference(constrained_superposition,[],[f18735,f15478]) ).
thf(f34548,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_294
| ~ spl0_381 ),
inference(trivial_inequality_removal,[],[f34545]) ).
thf(f34552,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| spl0_178
| ~ spl0_294
| ~ spl0_381 ),
inference(forward_subsumption_resolution,[],[f34548,f27564]) ).
thf(f34553,plain,
( $false
| spl0_104
| spl0_178
| ~ spl0_294
| ~ spl0_381 ),
inference(forward_subsumption_resolution,[],[f34552,f11557]) ).
thf(f34554,plain,
( spl0_104
| spl0_178
| ~ spl0_294
| ~ spl0_381 ),
inference(avatar_contradiction_clause,[],[f34553]) ).
thf(f34755,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_197
| ~ spl0_223 ),
inference(constrained_superposition,[],[f11646,f12435]) ).
thf(f35023,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_197
| ~ spl0_223 ),
inference(forward_subsumption_resolution,[],[f34755,f23]) ).
thf(f35064,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ z ) )
| ~ spl0_197
| ~ spl0_223
| spl0_356 ),
inference(forward_subsumption_resolution,[],[f35023,f17893]) ).
thf(f35085,plain,
( spl0_359
| ~ spl0_197
| ~ spl0_223
| spl0_356 ),
inference(avatar_split_clause,[],[f35064,f17892,f12434,f11645,f17908]) ).
thf(f35165,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_359 ),
inference(constrained_superposition,[],[f56,f17909]) ).
thf(f35308,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_359 ),
inference(forward_subsumption_resolution,[],[f35165,f27]) ).
thf(f35333,plain,
( $false
| ~ spl0_359 ),
inference(forward_subsumption_resolution,[],[f35308,f23]) ).
thf(f35334,plain,
~ spl0_359,
inference(avatar_contradiction_clause,[],[f35333]) ).
thf(f35593,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_26
| spl0_208 ),
inference(constrained_superposition,[],[f13227,f33840]) ).
thf(f35594,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_26
| spl0_357 ),
inference(constrained_superposition,[],[f17898,f33840]) ).
thf(f35596,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_26
| spl0_87 ),
inference(constrained_superposition,[],[f16705,f33840]) ).
thf(f35598,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_26
| spl0_208 ),
inference(trivial_inequality_removal,[],[f35593]) ).
thf(f35599,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_26
| spl0_357 ),
inference(trivial_inequality_removal,[],[f35594]) ).
thf(f35602,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_26
| spl0_87 ),
inference(trivial_inequality_removal,[],[f35596]) ).
thf(f35605,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_26
| spl0_208
| spl0_212 ),
inference(forward_subsumption_resolution,[],[f35598,f30621]) ).
thf(f35606,plain,
( spl0_361
| spl0_359
| spl0_364
| ~ spl0_26
| spl0_357 ),
inference(avatar_split_clause,[],[f35599,f17897,f336,f17997,f17908,f17930]) ).
thf(f35611,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_26
| spl0_76
| spl0_87 ),
inference(forward_subsumption_resolution,[],[f35602,f23175]) ).
thf(f35617,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_26
| spl0_208
| spl0_212
| spl0_222 ),
inference(forward_subsumption_resolution,[],[f35605,f30822]) ).
thf(f35618,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_26
| spl0_76
| spl0_87
| spl0_104 ),
inference(forward_subsumption_resolution,[],[f35611,f11557]) ).
thf(f35619,plain,
( spl0_219
| ~ spl0_26
| spl0_208
| spl0_212
| spl0_222 ),
inference(avatar_split_clause,[],[f35617,f12431,f11744,f11730,f336,f11991]) ).
thf(f35620,plain,
( $false
| ~ spl0_26
| spl0_76
| spl0_87
| spl0_98
| spl0_104 ),
inference(forward_subsumption_resolution,[],[f35618,f11543]) ).
thf(f35621,plain,
( ~ spl0_26
| spl0_76
| spl0_87
| spl0_98
| spl0_104 ),
inference(avatar_contradiction_clause,[],[f35620]) ).
thf(f35636,plain,
( spl0_293
| spl0_448 ),
inference(avatar_split_clause,[],[f28341,f27956,f15469]) ).
thf(f35640,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_98
| spl0_447 ),
inference(forward_subsumption_resolution,[],[f28332,f11543]) ).
thf(f35643,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_345 ),
inference(forward_subsumption_resolution,[],[f30587,f24]) ).
thf(f35648,plain,
( ~ spl0_443
| ~ spl0_235
| spl0_319
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f28414,f11723,f16678,f13333,f27437]) ).
thf(f35658,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_104
| spl0_448 ),
inference(forward_subsumption_resolution,[],[f28338,f11557]) ).
thf(f35665,plain,
( $false
| ~ spl0_195
| ~ spl0_197
| ~ spl0_203 ),
inference(forward_subsumption_resolution,[],[f11667,f28109]) ).
thf(f35666,plain,
( ~ spl0_195
| ~ spl0_197
| ~ spl0_203 ),
inference(avatar_contradiction_clause,[],[f35665]) ).
thf(f35674,plain,
( ~ spl0_8
| ~ spl0_443
| spl0_319
| ~ spl0_211 ),
inference(avatar_split_clause,[],[f28314,f11741,f16678,f27437,f137]) ).
thf(f35680,plain,
( spl0_13
| spl0_360
| spl0_12
| spl0_377
| spl0_222 ),
inference(avatar_split_clause,[],[f30828,f12431,f18247,f201,f17914,f205]) ).
thf(f35683,plain,
( ~ spl0_453
| spl0_368
| ~ spl0_84
| ~ spl0_420 ),
inference(avatar_split_clause,[],[f28395,f23572,f5642,f18012,f28041]) ).
thf(f35684,plain,
( spl0_12
| spl0_163
| spl0_344
| spl0_13
| spl0_217 ),
inference(avatar_split_clause,[],[f29064,f11776,f205,f17613,f8540,f201]) ).
thf(f35689,plain,
( spl0_294
| spl0_447 ),
inference(avatar_split_clause,[],[f28329,f27952,f15477]) ).
thf(f35690,plain,
( spl0_348
| spl0_319
| ~ spl0_155
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f27827,f11649,f8133,f16678,f17631]) ).
thf(f35693,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ~ spl0_345 ),
inference(forward_subsumption_resolution,[],[f30584,f24]) ).
thf(f35697,plain,
( spl0_216
| spl0_215
| ~ spl0_209
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f27833,f11649,f11734,f11757,f11760]) ).
thf(f35705,plain,
( spl0_294
| spl0_98
| spl0_447 ),
inference(avatar_split_clause,[],[f35640,f27952,f6100,f15477]) ).
thf(f35707,plain,
( spl0_221
| spl0_233
| ~ spl0_345 ),
inference(avatar_split_clause,[],[f35643,f17616,f13315,f12231]) ).
thf(f35709,plain,
( spl0_293
| spl0_104
| spl0_448 ),
inference(avatar_split_clause,[],[f35658,f27956,f6302,f15469]) ).
thf(f35710,plain,
( spl0_1
| spl0_148
| ~ spl0_345 ),
inference(avatar_split_clause,[],[f35693,f17616,f8029,f70]) ).
thf(f35715,plain,
( spl0_214
| spl0_156
| ~ spl0_210
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f27828,f11649,f11737,f8146,f11752]) ).
thf(f35716,plain,
( ~ spl0_447
| ~ spl0_28
| spl0_357
| ~ spl0_371 ),
inference(avatar_split_clause,[],[f28358,f18024,f17897,f343,f27952]) ).
thf(f35721,plain,
( ~ spl0_84
| spl0_368
| ~ spl0_448
| ~ spl0_371 ),
inference(avatar_split_clause,[],[f28357,f18024,f27956,f18012,f5642]) ).
thf(f35735,plain,
( spl0_208
| ~ spl0_27
| ~ spl0_447
| ~ spl0_211 ),
inference(avatar_split_clause,[],[f28318,f11741,f27952,f339,f11730]) ).
thf(f35736,plain,
( ~ spl0_95
| spl0_368
| ~ spl0_448
| ~ spl0_363 ),
inference(avatar_split_clause,[],[f28379,f17994,f27956,f18012,f6083]) ).
thf(f35743,plain,
( ~ spl0_28
| ~ spl0_447
| spl0_208
| ~ spl0_347 ),
inference(avatar_split_clause,[],[f28301,f17625,f11730,f27952,f343]) ).
thf(f35748,plain,
( spl0_357
| ~ spl0_27
| ~ spl0_447
| ~ spl0_363 ),
inference(avatar_split_clause,[],[f28372,f17994,f27952,f339,f17897]) ).
thf(f35749,plain,
( spl0_344
| ~ spl0_155
| spl0_345
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f27831,f11649,f17616,f8133,f17613]) ).
thf(f35764,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( z = X0 ) )
| spl0_13 ),
inference(constrained_superposition,[],[f1067,f425]) ).
thf(f35767,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) )
| spl0_13 ),
inference(trivial_inequality_removal,[],[f35764]) ).
thf(f35769,plain,
( spl0_38
| spl0_12
| spl0_13 ),
inference(avatar_split_clause,[],[f35767,f205,f201,f563]) ).
thf(f35774,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f25,f223]) ).
thf(f35775,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f35774]) ).
thf(f35855,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_195
| ~ spl0_360 ),
inference(constrained_superposition,[],[f27293,f17915]) ).
thf(f35857,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_360 ),
inference(constrained_superposition,[],[f25,f17915]) ).
thf(f35858,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_360 ),
inference(trivial_inequality_removal,[],[f35857]) ).
thf(f35860,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_195
| ~ spl0_360 ),
inference(trivial_inequality_removal,[],[f35855]) ).
thf(f35861,plain,
( spl0_543
| ~ spl0_360 ),
inference(avatar_split_clause,[],[f35858,f17914,f33465]) ).
thf(f35862,plain,
( $false
| ~ spl0_178
| ~ spl0_195
| ~ spl0_360 ),
inference(forward_subsumption_resolution,[],[f35860,f9761]) ).
thf(f35863,plain,
( ~ spl0_178
| ~ spl0_195
| ~ spl0_360 ),
inference(avatar_contradiction_clause,[],[f35862]) ).
thf(f35948,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_207 ),
inference(constrained_superposition,[],[f25,f11727]) ).
thf(f35949,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_207 ),
inference(trivial_inequality_removal,[],[f35948]) ).
thf(f35951,plain,
( spl0_504
| ~ spl0_207 ),
inference(avatar_split_clause,[],[f35949,f11726,f31791]) ).
thf(f35954,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_216 ),
inference(constrained_superposition,[],[f25,f11761]) ).
thf(f35957,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_216 ),
inference(trivial_inequality_removal,[],[f35954]) ).
thf(f35958,plain,
( spl0_504
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f35957,f11760,f31791]) ).
thf(f35976,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_195
| ~ spl0_377 ),
inference(constrained_superposition,[],[f27293,f18248]) ).
thf(f35981,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_195
| ~ spl0_377 ),
inference(trivial_inequality_removal,[],[f35976]) ).
thf(f35982,plain,
( $false
| ~ spl0_162
| ~ spl0_195
| ~ spl0_377 ),
inference(forward_subsumption_resolution,[],[f35981,f8526]) ).
thf(f35983,plain,
( ~ spl0_162
| ~ spl0_195
| ~ spl0_377 ),
inference(avatar_contradiction_clause,[],[f35982]) ).
thf(f35989,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_233 ),
inference(constrained_superposition,[],[f25,f13316]) ).
thf(f35993,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_233 ),
inference(trivial_inequality_removal,[],[f35989]) ).
thf(f36011,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_18
| ~ spl0_357 ),
inference(constrained_superposition,[],[f35775,f18259]) ).
thf(f36016,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_18
| ~ spl0_357 ),
inference(trivial_inequality_removal,[],[f36011]) ).
thf(f36017,plain,
( $false
| ~ spl0_18
| ~ spl0_357
| ~ spl0_378 ),
inference(forward_subsumption_resolution,[],[f36016,f18255]) ).
thf(f36018,plain,
( ~ spl0_18
| ~ spl0_357
| ~ spl0_378 ),
inference(avatar_contradiction_clause,[],[f36017]) ).
thf(f36137,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_199 ),
inference(constrained_superposition,[],[f25,f11653]) ).
thf(f36140,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_199 ),
inference(trivial_inequality_removal,[],[f36137]) ).
thf(f36142,plain,
( spl0_500
| ~ spl0_199 ),
inference(avatar_split_clause,[],[f36140,f11652,f31710]) ).
thf(f36145,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_203 ),
inference(constrained_superposition,[],[f25,f11667]) ).
thf(f36148,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f36145]) ).
thf(f36149,plain,
( spl0_500
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f36148,f11666,f31710]) ).
thf(f36186,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_364
| ~ spl0_543 ),
inference(constrained_superposition,[],[f33466,f17998]) ).
thf(f36193,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_364
| ~ spl0_543 ),
inference(trivial_inequality_removal,[],[f36186]) ).
thf(f36195,plain,
( $false
| ~ spl0_1
| ~ spl0_364
| ~ spl0_543 ),
inference(forward_subsumption_resolution,[],[f36193,f71]) ).
thf(f36196,plain,
( ~ spl0_1
| ~ spl0_364
| ~ spl0_543 ),
inference(avatar_contradiction_clause,[],[f36195]) ).
thf(f36219,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_230 ),
inference(constrained_superposition,[],[f25,f13226]) ).
thf(f36221,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_230 ),
inference(trivial_inequality_removal,[],[f36219]) ).
thf(f36244,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_178
| ~ spl0_230 ),
inference(constrained_superposition,[],[f36221,f9761]) ).
thf(f36249,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_178
| ~ spl0_230 ),
inference(trivial_inequality_removal,[],[f36244]) ).
thf(f36256,plain,
( $false
| ~ spl0_4
| ~ spl0_178
| ~ spl0_230 ),
inference(forward_subsumption_resolution,[],[f36249,f81]) ).
thf(f36257,plain,
( ~ spl0_4
| ~ spl0_178
| ~ spl0_230 ),
inference(avatar_contradiction_clause,[],[f36256]) ).
thf(f36261,plain,
( spl0_356
| ~ spl0_443
| ~ spl0_8
| ~ spl0_363 ),
inference(avatar_split_clause,[],[f28378,f17994,f137,f27437,f17892]) ).
thf(f36279,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_76 ),
inference(constrained_superposition,[],[f25,f5615]) ).
thf(f36281,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f36279]) ).
thf(f36302,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_233
| ~ spl0_368 ),
inference(constrained_superposition,[],[f35993,f18013]) ).
thf(f36311,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_233
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f36302]) ).
thf(f36312,plain,
( $false
| ~ spl0_233
| ~ spl0_356
| ~ spl0_368 ),
inference(forward_subsumption_resolution,[],[f36311,f17916]) ).
thf(f36313,plain,
( ~ spl0_233
| ~ spl0_356
| ~ spl0_368 ),
inference(avatar_contradiction_clause,[],[f36312]) ).
thf(f36314,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| spl0_13
| spl0_87 ),
inference(forward_subsumption_resolution,[],[f26183,f1067]) ).
thf(f36315,plain,
( spl0_233
| spl0_78
| spl0_41
| spl0_13
| spl0_87 ),
inference(avatar_split_clause,[],[f36314,f5654,f205,f577,f5621,f13315]) ).
thf(f36344,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| spl0_230 ),
inference(constrained_superposition,[],[f23007,f495]) ).
thf(f36347,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_230 ),
inference(trivial_inequality_removal,[],[f36344]) ).
thf(f36374,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| spl0_378 ),
inference(constrained_superposition,[],[f18860,f495]) ).
thf(f36376,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_378 ),
inference(trivial_inequality_removal,[],[f36374]) ).
thf(f36380,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_76
| ~ spl0_78 ),
inference(constrained_superposition,[],[f36281,f5622]) ).
thf(f36387,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_76
| ~ spl0_78 ),
inference(trivial_inequality_removal,[],[f36380]) ).
thf(f36390,plain,
( $false
| ~ spl0_4
| ~ spl0_76
| ~ spl0_78 ),
inference(forward_subsumption_resolution,[],[f36387,f81]) ).
thf(f36391,plain,
( ~ spl0_4
| ~ spl0_76
| ~ spl0_78 ),
inference(avatar_contradiction_clause,[],[f36390]) ).
thf(f36405,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_87 ),
inference(constrained_superposition,[],[f25,f5655]) ).
thf(f36406,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_87 ),
inference(trivial_inequality_removal,[],[f36405]) ).
thf(f36457,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_87
| ~ spl0_293 ),
inference(constrained_superposition,[],[f36406,f15470]) ).
thf(f36465,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_87
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f36457]) ).
thf(f36470,plain,
( ~ spl0_294
| ~ spl0_87
| ~ spl0_293 ),
inference(avatar_split_clause,[],[f36465,f15469,f5654,f15477]) ).
thf(f36523,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_230 ),
inference(forward_subsumption_resolution,[],[f36347,f24]) ).
thf(f36524,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_378 ),
inference(forward_subsumption_resolution,[],[f36376,f24]) ).
thf(f36526,plain,
( spl0_178
| spl0_4
| spl0_238
| spl0_230 ),
inference(avatar_split_clause,[],[f36523,f13225,f13348,f80,f9760]) ).
thf(f36527,plain,
( spl0_4
| spl0_356
| spl0_360
| spl0_378 ),
inference(avatar_split_clause,[],[f36524,f18254,f17914,f17892,f80]) ).
thf(f36528,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true != $true )
| ( z = X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ z ) ) ) )
| spl0_4 ),
inference(constrained_superposition,[],[f239,f425]) ).
thf(f36532,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ z @ ( s @ z ) ) ) )
| spl0_4 ),
inference(trivial_inequality_removal,[],[f36528]) ).
thf(f36596,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_162 ),
inference(constrained_superposition,[],[f25,f8526]) ).
thf(f36597,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_162 ),
inference(trivial_inequality_removal,[],[f36596]) ).
thf(f36631,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_214 ),
inference(constrained_superposition,[],[f19266,f495]) ).
thf(f36634,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_214 ),
inference(trivial_inequality_removal,[],[f36631]) ).
thf(f36655,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_221 ),
inference(constrained_superposition,[],[f25,f12232]) ).
thf(f36658,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_221 ),
inference(trivial_inequality_removal,[],[f36655]) ).
thf(f36800,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_77
| ~ spl0_194 ),
inference(constrained_superposition,[],[f5619,f11619]) ).
thf(f36801,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_194 ),
inference(constrained_superposition,[],[f5608,f11619]) ).
thf(f36804,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_194 ),
inference(constrained_superposition,[],[f330,f11619]) ).
thf(f36805,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_194 ),
inference(constrained_superposition,[],[f195,f11619]) ).
thf(f36806,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_3
| ~ spl0_194 ),
inference(constrained_superposition,[],[f78,f11619]) ).
thf(f36807,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_194 ),
inference(constrained_superposition,[],[f107,f11619]) ).
thf(f36808,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_194 ),
inference(constrained_superposition,[],[f66,f11619]) ).
thf(f36820,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f36805]) ).
thf(f36821,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f36804]) ).
thf(f36824,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f36807]) ).
thf(f36826,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f36808]) ).
thf(f36827,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_77
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f36800]) ).
thf(f36832,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_3
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f36806]) ).
thf(f36834,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f36801]) ).
thf(f37203,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_44
| ~ spl0_221 ),
inference(constrained_superposition,[],[f36658,f613]) ).
thf(f37204,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_44
| ~ spl0_162 ),
inference(constrained_superposition,[],[f36597,f613]) ).
thf(f37215,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_44
| ~ spl0_162 ),
inference(trivial_inequality_removal,[],[f37204]) ).
thf(f37221,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_44
| ~ spl0_221 ),
inference(trivial_inequality_removal,[],[f37203]) ).
thf(f37223,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_18
| ~ spl0_44
| ~ spl0_162 ),
inference(forward_subsumption_resolution,[],[f37215,f223]) ).
thf(f37224,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_44
| ~ spl0_221 ),
inference(forward_subsumption_resolution,[],[f37221,f24]) ).
thf(f37225,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_18
| ~ spl0_44
| ~ spl0_162
| spl0_217 ),
inference(forward_subsumption_resolution,[],[f37223,f29058]) ).
thf(f37226,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_44
| ~ spl0_76
| ~ spl0_221 ),
inference(forward_subsumption_resolution,[],[f37224,f5615]) ).
thf(f37227,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_18
| ~ spl0_44
| ~ spl0_162
| spl0_178
| spl0_217 ),
inference(forward_subsumption_resolution,[],[f37225,f27564]) ).
thf(f37228,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_44
| ~ spl0_76
| spl0_178
| ~ spl0_221 ),
inference(forward_subsumption_resolution,[],[f37226,f27564]) ).
thf(f37229,plain,
( $false
| ~ spl0_18
| ~ spl0_44
| ~ spl0_162
| spl0_178
| spl0_217 ),
inference(forward_subsumption_resolution,[],[f37227,f24]) ).
thf(f37230,plain,
( ~ spl0_18
| ~ spl0_44
| ~ spl0_162
| spl0_178
| spl0_217 ),
inference(avatar_contradiction_clause,[],[f37229]) ).
thf(f37231,plain,
( $false
| ~ spl0_44
| ~ spl0_76
| spl0_178
| spl0_217
| ~ spl0_221 ),
inference(forward_subsumption_resolution,[],[f37228,f29058]) ).
thf(f37232,plain,
( ~ spl0_44
| ~ spl0_76
| spl0_178
| spl0_217
| ~ spl0_221 ),
inference(avatar_contradiction_clause,[],[f37231]) ).
thf(f37235,plain,
( ~ spl0_389
| spl0_394
| spl0_294
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f36821,f11618,f15477,f19583,f19563]) ).
thf(f37239,plain,
( spl0_44
| spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f36532,f80,f70,f612]) ).
thf(f37240,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_214
| spl0_319 ),
inference(forward_subsumption_resolution,[],[f36634,f16679]) ).
thf(f37255,plain,
( spl0_388
| spl0_162
| ~ spl0_389
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f36820,f11618,f19563,f8525,f19560]) ).
thf(f37265,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_4
| spl0_214
| spl0_319 ),
inference(forward_subsumption_resolution,[],[f37240,f239]) ).
thf(f37267,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_4
| spl0_214
| spl0_319 ),
inference(forward_subsumption_resolution,[],[f37265,f24]) ).
thf(f37269,plain,
( spl0_344
| spl0_4
| spl0_214
| spl0_319 ),
inference(avatar_split_clause,[],[f37267,f16678,f11752,f80,f17613]) ).
thf(f37270,plain,
( spl0_365
| spl0_221
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f36834,f11618,f12231,f18001]) ).
thf(f37274,plain,
( spl0_148
| ~ spl0_367
| ~ spl0_398
| ~ spl0_3
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f36832,f11618,f77,f19902,f18008,f8029]) ).
thf(f37275,plain,
( spl0_221
| ~ spl0_367
| ~ spl0_392
| ~ spl0_77
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f36827,f11618,f5618,f19576,f18008,f12231]) ).
thf(f37285,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_15 ),
inference(constrained_superposition,[],[f25,f213]) ).
thf(f37287,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f37285]) ).
thf(f37313,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_80
| ~ spl0_337 ),
inference(constrained_superposition,[],[f16992,f5629]) ).
thf(f37318,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_80
| ~ spl0_337 ),
inference(trivial_inequality_removal,[],[f37313]) ).
thf(f37379,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_212 ),
inference(constrained_superposition,[],[f30621,f495]) ).
thf(f37382,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_212 ),
inference(trivial_inequality_removal,[],[f37379]) ).
thf(f37386,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ X0 ) ) ) )
| ~ spl0_15 ),
inference(constrained_superposition,[],[f37287,f495]) ).
thf(f37390,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( ( s @ z )
= X0 )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f37386]) ).
thf(f37392,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true ) )
| ~ spl0_15
| ~ spl0_337 ),
inference(forward_subsumption_resolution,[],[f37390,f16992]) ).
thf(f37393,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( ( s @ z )
= X0 ) )
| spl0_13
| ~ spl0_15
| ~ spl0_337 ),
inference(forward_subsumption_resolution,[],[f37392,f1067]) ).
thf(f37394,plain,
( spl0_47
| spl0_13
| ~ spl0_15
| ~ spl0_337 ),
inference(avatar_split_clause,[],[f37393,f16991,f212,f205,f674]) ).
thf(f37453,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_377 ),
inference(constrained_superposition,[],[f25,f18248]) ).
thf(f37455,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_377 ),
inference(trivial_inequality_removal,[],[f37453]) ).
thf(f37494,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_202 ),
inference(constrained_superposition,[],[f5608,f11664]) ).
thf(f37495,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_202 ),
inference(constrained_superposition,[],[f6053,f11664]) ).
thf(f37500,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_202 ),
inference(constrained_superposition,[],[f107,f11664]) ).
thf(f37501,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_202 ),
inference(constrained_superposition,[],[f66,f11664]) ).
thf(f37511,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_202 ),
inference(trivial_inequality_removal,[],[f37495]) ).
thf(f37516,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_202 ),
inference(trivial_inequality_removal,[],[f37500]) ).
thf(f37518,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_202 ),
inference(trivial_inequality_removal,[],[f37494]) ).
thf(f37522,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_202 ),
inference(trivial_inequality_removal,[],[f37501]) ).
thf(f37528,plain,
( spl0_293
| spl0_352
| ~ spl0_353
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f37511,f11663,f17847,f17844,f15469]) ).
thf(f37531,plain,
( spl0_221
| spl0_206
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f37518,f11663,f11723,f12231]) ).
thf(f37652,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_202
| ~ spl0_352 ),
inference(constrained_superposition,[],[f17845,f11664]) ).
thf(f37669,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_202
| ~ spl0_352 ),
inference(trivial_inequality_removal,[],[f37652]) ).
thf(f37670,plain,
( ~ spl0_209
| ~ spl0_202
| ~ spl0_352 ),
inference(avatar_split_clause,[],[f37669,f17844,f11663,f11734]) ).
thf(f37692,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_344
| ~ spl0_504 ),
inference(constrained_superposition,[],[f31792,f17614]) ).
thf(f37699,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_344
| ~ spl0_504 ),
inference(trivial_inequality_removal,[],[f37692]) ).
thf(f37703,plain,
( $false
| ~ spl0_78
| ~ spl0_344
| ~ spl0_504 ),
inference(forward_subsumption_resolution,[],[f37699,f5622]) ).
thf(f37704,plain,
( ~ spl0_78
| ~ spl0_344
| ~ spl0_504 ),
inference(avatar_contradiction_clause,[],[f37703]) ).
thf(f37710,plain,
( ~ spl0_233
| ~ spl0_80
| ~ spl0_337 ),
inference(avatar_split_clause,[],[f37318,f16991,f5628,f13315]) ).
thf(f37720,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_233 ),
inference(constrained_superposition,[],[f25,f13316]) ).
thf(f37722,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_233 ),
inference(trivial_inequality_removal,[],[f37720]) ).
thf(f37741,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_293 ),
inference(constrained_superposition,[],[f25,f15470]) ).
thf(f37745,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f37741]) ).
thf(f37746,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_216 ),
inference(constrained_superposition,[],[f33452,f495]) ).
thf(f37748,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_216 ),
inference(trivial_inequality_removal,[],[f37746]) ).
thf(f37755,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_148
| ~ spl0_293 ),
inference(constrained_superposition,[],[f37745,f8030]) ).
thf(f37756,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_178
| ~ spl0_293 ),
inference(constrained_superposition,[],[f37745,f9761]) ).
thf(f37762,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_148
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f37755]) ).
thf(f37766,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_178
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f37756]) ).
thf(f37768,plain,
( $false
| ~ spl0_76
| ~ spl0_148
| ~ spl0_293 ),
inference(forward_subsumption_resolution,[],[f37762,f5615]) ).
thf(f37769,plain,
( ~ spl0_76
| ~ spl0_148
| ~ spl0_293 ),
inference(avatar_contradiction_clause,[],[f37768]) ).
thf(f37774,plain,
( spl0_148
| spl0_211
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f37522,f11663,f11741,f8029]) ).
thf(f37776,plain,
( spl0_148
| spl0_363
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f36826,f11618,f17994,f8029]) ).
thf(f37777,plain,
( spl0_230
| spl0_399
| ~ spl0_398
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f36824,f11618,f19902,f19905,f13225]) ).
thf(f37778,plain,
( spl0_355
| spl0_230
| ~ spl0_354
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f37516,f11663,f17852,f13225,f17855]) ).
thf(f37782,plain,
( ~ spl0_78
| ~ spl0_178
| ~ spl0_293 ),
inference(avatar_split_clause,[],[f37766,f15469,f9760,f5621]) ).
thf(f37822,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_44
| spl0_76 ),
inference(constrained_superposition,[],[f23175,f613]) ).
thf(f37824,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_44
| spl0_76 ),
inference(trivial_inequality_removal,[],[f37822]) ).
thf(f37827,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_44
| spl0_76 ),
inference(forward_subsumption_resolution,[],[f37824,f24]) ).
thf(f37829,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_44
| spl0_76
| spl0_78 ),
inference(forward_subsumption_resolution,[],[f37827,f20647]) ).
thf(f37830,plain,
( $false
| ~ spl0_44
| spl0_76
| spl0_78
| spl0_98 ),
inference(forward_subsumption_resolution,[],[f37829,f11543]) ).
thf(f37831,plain,
( ~ spl0_44
| spl0_76
| spl0_78
| spl0_98 ),
inference(avatar_contradiction_clause,[],[f37830]) ).
thf(f38080,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_194
| ~ spl0_393 ),
inference(constrained_superposition,[],[f19580,f11619]) ).
thf(f38084,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_393 ),
inference(constrained_superposition,[],[f19580,f55]) ).
thf(f38094,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_194
| ~ spl0_393 ),
inference(trivial_inequality_removal,[],[f38080]) ).
thf(f38097,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_393 ),
inference(trivial_inequality_removal,[],[f38084]) ).
thf(f38098,plain,
( ~ spl0_209
| ~ spl0_194
| ~ spl0_393 ),
inference(avatar_split_clause,[],[f38094,f19579,f11618,f11734]) ).
thf(f38099,plain,
( spl0_364
| ~ spl0_101
| ~ spl0_393 ),
inference(avatar_split_clause,[],[f38097,f19579,f6170,f17997]) ).
thf(f38100,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_197
| ~ spl0_500 ),
inference(constrained_superposition,[],[f31711,f11646]) ).
thf(f38102,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_344
| ~ spl0_500 ),
inference(constrained_superposition,[],[f31711,f17614]) ).
thf(f38106,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_197
| ~ spl0_500 ),
inference(trivial_inequality_removal,[],[f38100]) ).
thf(f38111,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_344
| ~ spl0_500 ),
inference(trivial_inequality_removal,[],[f38102]) ).
thf(f38112,plain,
( $false
| ~ spl0_193
| ~ spl0_197
| ~ spl0_500 ),
inference(forward_subsumption_resolution,[],[f38106,f11615]) ).
thf(f38113,plain,
( ~ spl0_193
| ~ spl0_197
| ~ spl0_500 ),
inference(avatar_contradiction_clause,[],[f38112]) ).
thf(f38115,plain,
( $false
| ~ spl0_178
| ~ spl0_344
| ~ spl0_500 ),
inference(forward_subsumption_resolution,[],[f38111,f9761]) ).
thf(f38116,plain,
( ~ spl0_178
| ~ spl0_344
| ~ spl0_500 ),
inference(avatar_contradiction_clause,[],[f38115]) ).
thf(f38119,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_217
| spl0_319 ),
inference(forward_subsumption_resolution,[],[f29065,f16679]) ).
thf(f38125,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| spl0_212 ),
inference(forward_subsumption_resolution,[],[f37382,f24]) ).
thf(f38134,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| spl0_222
| spl0_356 ),
inference(forward_subsumption_resolution,[],[f30829,f17893]) ).
thf(f38147,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| spl0_216
| spl0_319 ),
inference(forward_subsumption_resolution,[],[f37748,f16679]) ).
thf(f38148,plain,
( spl0_13
| spl0_208
| spl0_344
| spl0_217
| spl0_319 ),
inference(avatar_split_clause,[],[f38119,f16678,f11776,f17613,f11730,f205]) ).
thf(f38155,plain,
( spl0_360
| spl0_13
| spl0_357
| spl0_222
| spl0_356 ),
inference(avatar_split_clause,[],[f38134,f17892,f12431,f17897,f205,f17914]) ).
thf(f38156,plain,
( spl0_78
| spl0_344
| spl0_218
| spl0_216
| spl0_319 ),
inference(avatar_split_clause,[],[f38147,f16678,f11760,f11806,f17613,f5621]) ).
thf(f38158,plain,
( spl0_344
| spl0_4
| spl0_1
| spl0_212 ),
inference(avatar_split_clause,[],[f38125,f11744,f70,f80,f17613]) ).
thf(f38201,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_76 ),
inference(constrained_superposition,[],[f25,f5615]) ).
thf(f38203,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f38201]) ).
thf(f38238,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_42 ),
inference(constrained_superposition,[],[f584,f32]) ).
thf(f38248,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f38238]) ).
thf(f38261,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true ) )
| ~ spl0_233
| ~ spl0_296 ),
inference(constrained_superposition,[],[f37722,f15485]) ).
thf(f38264,plain,
( ! [X0: $i] :
( ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ~ spl0_233
| ~ spl0_296 ),
inference(trivial_inequality_removal,[],[f38261]) ).
thf(f38267,plain,
( spl0_409
| ~ spl0_233
| ~ spl0_296 ),
inference(avatar_split_clause,[],[f38264,f15484,f13315,f21246]) ).
thf(f38269,plain,
( ( $true != $true )
| ~ spl0_238
| ~ spl0_409 ),
inference(constrained_superposition,[],[f21247,f13349]) ).
thf(f38271,plain,
( $false
| ~ spl0_238
| ~ spl0_409 ),
inference(trivial_inequality_removal,[],[f38269]) ).
thf(f38272,plain,
( ~ spl0_238
| ~ spl0_409 ),
inference(avatar_contradiction_clause,[],[f38271]) ).
thf(f38413,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_76
| ~ spl0_368 ),
inference(constrained_superposition,[],[f38203,f18013]) ).
thf(f38420,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_76
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f38413]) ).
thf(f38421,plain,
( $false
| ~ spl0_76
| ~ spl0_368
| ~ spl0_378 ),
inference(forward_subsumption_resolution,[],[f38420,f18255]) ).
thf(f38422,plain,
( ~ spl0_76
| ~ spl0_368
| ~ spl0_378 ),
inference(avatar_contradiction_clause,[],[f38421]) ).
thf(f38430,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_76
| ~ spl0_293 ),
inference(constrained_superposition,[],[f38203,f15470]) ).
thf(f38432,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_293 ),
inference(constrained_superposition,[],[f25,f15470]) ).
thf(f38433,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_76
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f38430]) ).
thf(f38434,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f38432]) ).
thf(f38439,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_209 ),
inference(constrained_superposition,[],[f11735,f53]) ).
thf(f38442,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_209 ),
inference(trivial_inequality_removal,[],[f38439]) ).
thf(f38447,plain,
( spl0_41
| spl0_221
| spl0_209 ),
inference(avatar_split_clause,[],[f38442,f11734,f12231,f577]) ).
thf(f38523,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_192 ),
inference(constrained_superposition,[],[f47,f11612]) ).
thf(f38531,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f38523]) ).
thf(f38547,plain,
( spl0_360
| spl0_371
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f38531,f11611,f18024,f17914]) ).
thf(f38565,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_199
| ~ spl0_293 ),
inference(constrained_superposition,[],[f38434,f11653]) ).
thf(f38574,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_199
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f38565]) ).
thf(f38591,plain,
( ~ spl0_6
| spl0_12
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f38248,f583,f201,f115]) ).
thf(f38594,plain,
( ~ spl0_216
| ~ spl0_199
| ~ spl0_293 ),
inference(avatar_split_clause,[],[f38574,f15469,f11652,f11760]) ).
thf(f38666,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_360
| ~ spl0_377 ),
inference(constrained_superposition,[],[f37455,f17915]) ).
thf(f38671,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_360
| ~ spl0_377 ),
inference(trivial_inequality_removal,[],[f38666]) ).
thf(f38672,plain,
( $false
| ~ spl0_13
| ~ spl0_360
| ~ spl0_377 ),
inference(forward_subsumption_resolution,[],[f38671,f206]) ).
thf(f38673,plain,
( ~ spl0_13
| ~ spl0_360
| ~ spl0_377 ),
inference(avatar_contradiction_clause,[],[f38672]) ).
thf(f38675,plain,
( ~ spl0_230
| ~ spl0_76
| ~ spl0_293 ),
inference(avatar_split_clause,[],[f38433,f15469,f5614,f13225]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f75]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f82]) ).
cnf(s4,plain,
( spl0_4
| spl0_6 ),
inference(sat_conversion,[],[f125]) ).
cnf(s6,plain,
( spl0_5
| ~ spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f142]) ).
cnf(s15,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f240]) ).
cnf(s18,plain,
( spl0_12
| spl0_22 ),
inference(sat_conversion,[],[f294]) ).
cnf(s20,plain,
( spl0_25
| spl0_26
| ~ spl0_27 ),
inference(sat_conversion,[],[f341]) ).
cnf(s23,plain,
( ~ spl0_28
| spl0_31
| spl0_32 ),
inference(sat_conversion,[],[f359]) ).
cnf(s24,plain,
( ~ spl0_6
| spl0_33
| spl0_34 ),
inference(sat_conversion,[],[f544]) ).
cnf(s26,plain,
( ~ spl0_4
| ~ spl0_13
| ~ spl0_15 ),
inference(sat_conversion,[],[f550]) ).
cnf(s29,plain,
( spl0_4
| spl0_36 ),
inference(sat_conversion,[],[f560]) ).
cnf(s34,plain,
( spl0_13
| spl0_28 ),
inference(sat_conversion,[],[f575]) ).
cnf(s37,plain,
( spl0_15
| spl0_23 ),
inference(sat_conversion,[],[f581]) ).
cnf(s39,plain,
( ~ spl0_23
| spl0_25
| spl0_42 ),
inference(sat_conversion,[],[f585]) ).
cnf(s40,plain,
( spl0_1
| spl0_8 ),
inference(sat_conversion,[],[f598]) ).
cnf(s44,plain,
( ~ spl0_4
| ~ spl0_13
| ~ spl0_18 ),
inference(sat_conversion,[],[f664]) ).
cnf(s54,plain,
( ~ spl0_34
| spl0_44
| spl0_50 ),
inference(sat_conversion,[],[f787]) ).
cnf(s56,plain,
( ~ spl0_12
| spl0_13
| ~ spl0_50 ),
inference(sat_conversion,[],[f791]) ).
cnf(s57,plain,
( ~ spl0_22
| spl0_31
| spl0_51 ),
inference(sat_conversion,[],[f795]) ).
cnf(s60,plain,
( ~ spl0_10
| ~ spl0_15
| ~ spl0_38
| spl0_52 ),
inference(sat_conversion,[],[f878]) ).
cnf(s65,plain,
( ~ spl0_4
| ~ spl0_9
| spl0_54 ),
inference(sat_conversion,[],[f918]) ).
cnf(s67,plain,
( ~ spl0_4
| ~ spl0_9
| spl0_55 ),
inference(sat_conversion,[],[f936]) ).
cnf(s69,plain,
( ~ spl0_4
| ~ spl0_18
| ~ spl0_31
| spl0_56 ),
inference(sat_conversion,[],[f957]) ).
cnf(s71,plain,
( ~ spl0_8
| spl0_15
| ~ spl0_51 ),
inference(sat_conversion,[],[f984]) ).
cnf(s77,plain,
( ~ spl0_10
| ~ spl0_18
| ~ spl0_38
| spl0_52 ),
inference(sat_conversion,[],[f1237]) ).
cnf(s122,plain,
( ~ spl0_4
| ~ spl0_9
| spl0_69 ),
inference(sat_conversion,[],[f2643]) ).
cnf(s138,plain,
( ~ spl0_18
| ~ spl0_32
| spl0_73 ),
inference(sat_conversion,[],[f3409]) ).
cnf(s144,plain,
( spl0_75
| spl0_76 ),
inference(sat_conversion,[],[f5616]) ).
cnf(s145,plain,
( spl0_77
| spl0_78 ),
inference(sat_conversion,[],[f5623]) ).
cnf(s157,plain,
( spl0_93
| spl0_94
| ~ spl0_95 ),
inference(sat_conversion,[],[f6085]) ).
cnf(s160,plain,
( spl0_76
| spl0_95 ),
inference(sat_conversion,[],[f6104]) ).
cnf(s163,plain,
( spl0_93
| ~ spl0_101
| spl0_102 ),
inference(sat_conversion,[],[f6175]) ).
cnf(s165,plain,
( spl0_80
| spl0_101 ),
inference(sat_conversion,[],[f6184]) ).
cnf(s173,plain,
( spl0_41
| spl0_87
| spl0_100 ),
inference(sat_conversion,[],[f6307]) ).
cnf(s175,plain,
( ~ spl0_23
| spl0_87
| ~ spl0_102 ),
inference(sat_conversion,[],[f6324]) ).
cnf(s318,plain,
~ spl0_98,
inference(sat_conversion,[],[f8173]) ).
cnf(s364,plain,
~ spl0_104,
inference(sat_conversion,[],[f8638]) ).
cnf(s463,plain,
( spl0_98
| spl0_192
| spl0_193 ),
inference(sat_conversion,[],[f11616]) ).
cnf(s464,plain,
( spl0_98
| spl0_194
| spl0_195 ),
inference(sat_conversion,[],[f11623]) ).
cnf(s465,plain,
( spl0_104
| spl0_196
| spl0_197 ),
inference(sat_conversion,[],[f11647]) ).
cnf(s466,plain,
( spl0_104
| spl0_198
| spl0_199 ),
inference(sat_conversion,[],[f11654]) ).
cnf(s467,plain,
( spl0_104
| spl0_200
| spl0_201 ),
inference(sat_conversion,[],[f11661]) ).
cnf(s468,plain,
( spl0_104
| spl0_202
| spl0_203 ),
inference(sat_conversion,[],[f11668]) ).
cnf(s473,plain,
( ~ spl0_75
| ~ spl0_198
| spl0_207
| ~ spl0_209
| ~ spl0_210 ),
inference(sat_conversion,[],[f11739]) ).
cnf(s479,plain,
( spl0_148
| spl0_210
| spl0_217 ),
inference(sat_conversion,[],[f11778]) ).
cnf(s480,plain,
( spl0_148
| spl0_210 ),
inference(sat_conversion,[],[f11779]) ).
cnf(s488,plain,
( ~ spl0_4
| spl0_13
| ~ spl0_18
| ~ spl0_55
| ~ spl0_214
| spl0_219 ),
inference(sat_conversion,[],[f11997]) ).
cnf(s565,plain,
( ~ spl0_95
| ~ spl0_156
| spl0_221 ),
inference(sat_conversion,[],[f12790]) ).
cnf(s644,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_78
| spl0_233 ),
inference(sat_conversion,[],[f13404]) ).
cnf(s661,plain,
( ~ spl0_18
| ~ spl0_76
| ~ spl0_81 ),
inference(sat_conversion,[],[f13515]) ).
cnf(s666,plain,
( spl0_81
| spl0_92
| spl0_104 ),
inference(sat_conversion,[],[f13523]) ).
cnf(s668,plain,
( ~ spl0_4
| ~ spl0_80
| ~ spl0_233 ),
inference(sat_conversion,[],[f13550]) ).
cnf(s669,plain,
( ~ spl0_4
| spl0_13
| ~ spl0_18
| ~ spl0_55
| ~ spl0_80
| spl0_104 ),
inference(sat_conversion,[],[f13555]) ).
cnf(s699,plain,
~ spl0_218,
inference(sat_conversion,[],[f13882]) ).
cnf(s726,plain,
( ~ spl0_9
| spl0_12
| ~ spl0_55
| ~ spl0_69
| spl0_248 ),
inference(sat_conversion,[],[f14000]) ).
cnf(s727,plain,
( ~ spl0_9
| spl0_12
| spl0_41
| ~ spl0_54
| spl0_249 ),
inference(sat_conversion,[],[f14002]) ).
cnf(s728,plain,
( ~ spl0_9
| spl0_12
| ~ spl0_55
| spl0_247 ),
inference(sat_conversion,[],[f14006]) ).
cnf(s748,plain,
( ~ spl0_9
| spl0_13
| ~ spl0_18
| ~ spl0_54
| spl0_248 ),
inference(sat_conversion,[],[f14062]) ).
cnf(s758,plain,
( spl0_12
| spl0_13
| spl0_15
| ~ spl0_36 ),
inference(sat_conversion,[],[f14104]) ).
cnf(s784,plain,
~ spl0_219,
inference(sat_conversion,[],[f14582]) ).
cnf(s829,plain,
( spl0_18
| spl0_27 ),
inference(sat_conversion,[],[f14966]) ).
cnf(s830,plain,
( spl0_18
| spl0_27
| spl0_41 ),
inference(sat_conversion,[],[f14969]) ).
cnf(s846,plain,
( spl0_1
| spl0_13
| spl0_18
| spl0_41
| spl0_245 ),
inference(sat_conversion,[],[f15038]) ).
cnf(s872,plain,
( ~ spl0_9
| spl0_12
| spl0_18
| spl0_41 ),
inference(sat_conversion,[],[f15136]) ).
cnf(s887,plain,
( ~ spl0_12
| ~ spl0_48
| ~ spl0_56
| ~ spl0_78 ),
inference(sat_conversion,[],[f15182]) ).
cnf(s894,plain,
( spl0_78
| spl0_84 ),
inference(sat_conversion,[],[f15192]) ).
cnf(s898,plain,
( ~ spl0_12
| spl0_159 ),
inference(sat_conversion,[],[f15203]) ).
cnf(s912,plain,
( ~ spl0_4
| ~ spl0_25
| spl0_66
| ~ spl0_159 ),
inference(sat_conversion,[],[f15378]) ).
cnf(s915,plain,
( ~ spl0_87
| ~ spl0_159
| ~ spl0_233 ),
inference(sat_conversion,[],[f15386]) ).
cnf(s923,plain,
( spl0_233
| spl0_235 ),
inference(sat_conversion,[],[f15404]) ).
cnf(s927,plain,
( ~ spl0_9
| ~ spl0_54
| ~ spl0_76
| spl0_78
| spl0_108 ),
inference(sat_conversion,[],[f15410]) ).
cnf(s928,plain,
( ~ spl0_73
| ~ spl0_76
| spl0_78
| spl0_104 ),
inference(sat_conversion,[],[f15411]) ).
cnf(s929,plain,
( ~ spl0_9
| ~ spl0_55
| ~ spl0_76
| spl0_78
| spl0_290 ),
inference(sat_conversion,[],[f15415]) ).
cnf(s945,plain,
( spl0_155
| spl0_178 ),
inference(sat_conversion,[],[f15464]) ).
cnf(s949,plain,
( ~ spl0_66
| spl0_78
| spl0_104
| spl0_178
| spl0_293 ),
inference(sat_conversion,[],[f15475]) ).
cnf(s951,plain,
( ~ spl0_28
| ~ spl0_66
| spl0_98
| spl0_178
| spl0_294 ),
inference(sat_conversion,[],[f15479]) ).
cnf(s1002,plain,
( ~ spl0_54
| ~ spl0_66
| ~ spl0_178
| spl0_217 ),
inference(sat_conversion,[],[f15839]) ).
cnf(s1003,plain,
( ~ spl0_66
| ~ spl0_233 ),
inference(sat_conversion,[],[f15842]) ).
cnf(s1005,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_15 ),
inference(sat_conversion,[],[f15861]) ).
cnf(s1008,plain,
( ~ spl0_56
| ~ spl0_93
| spl0_296 ),
inference(sat_conversion,[],[f15865]) ).
cnf(s1024,plain,
( ~ spl0_56
| ~ spl0_80 ),
inference(sat_conversion,[],[f16023]) ).
cnf(s1066,plain,
( ~ spl0_9
| ~ spl0_12
| ~ spl0_54
| ~ spl0_55
| ~ spl0_163
| spl0_223 ),
inference(sat_conversion,[],[f16234]) ).
cnf(s1068,plain,
( ~ spl0_25
| spl0_80
| ~ spl0_293
| ~ spl0_294 ),
inference(sat_conversion,[],[f16274]) ).
cnf(s1071,plain,
( ~ spl0_25
| spl0_80
| ~ spl0_293
| ~ spl0_294 ),
inference(sat_conversion,[],[f16284]) ).
cnf(s1091,plain,
~ spl0_217,
inference(sat_conversion,[],[f16535]) ).
cnf(s1092,plain,
( ~ spl0_9
| ~ spl0_25
| ~ spl0_66
| ~ spl0_293
| spl0_294 ),
inference(sat_conversion,[],[f16549]) ).
cnf(s1094,plain,
( spl0_41
| ~ spl0_47
| spl0_78
| ~ spl0_80 ),
inference(sat_conversion,[],[f16574]) ).
cnf(s1104,plain,
( ~ spl0_159
| ~ spl0_208
| ~ spl0_319 ),
inference(sat_conversion,[],[f16686]) ).
cnf(s1116,plain,
( ~ spl0_25
| spl0_43
| ~ spl0_159 ),
inference(sat_conversion,[],[f16718]) ).
cnf(s1118,plain,
( ~ spl0_159
| ~ spl0_238
| ~ spl0_294 ),
inference(sat_conversion,[],[f16726]) ).
cnf(s1129,plain,
( spl0_78
| spl0_104
| spl0_178
| spl0_238
| spl0_293 ),
inference(sat_conversion,[],[f16750]) ).
cnf(s1155,plain,
( spl0_4
| spl0_15
| ~ spl0_38
| spl0_41 ),
inference(sat_conversion,[],[f16809]) ).
cnf(s1192,plain,
~ spl0_41,
inference(sat_conversion,[],[f17022]) ).
cnf(s1199,plain,
( ~ spl0_9
| ~ spl0_55
| ~ spl0_69
| spl0_108
| spl0_233 ),
inference(sat_conversion,[],[f17057]) ).
cnf(s1200,plain,
( ~ spl0_9
| ~ spl0_55
| spl0_111
| spl0_233 ),
inference(sat_conversion,[],[f17059]) ).
cnf(s1209,plain,
( ~ spl0_54
| ~ spl0_178
| spl0_217
| spl0_238 ),
inference(sat_conversion,[],[f17103]) ).
cnf(s1219,plain,
( ~ spl0_1
| spl0_337 ),
inference(sat_conversion,[],[f17158]) ).
cnf(s1220,plain,
( ~ spl0_230
| ~ spl0_238
| ~ spl0_337 ),
inference(sat_conversion,[],[f17182]) ).
cnf(s1237,plain,
( ~ spl0_25
| spl0_80
| spl0_87 ),
inference(sat_conversion,[],[f17258]) ).
cnf(s1255,plain,
( ~ spl0_13
| ~ spl0_25
| ~ spl0_78
| spl0_80 ),
inference(sat_conversion,[],[f17311]) ).
cnf(s1257,plain,
( ~ spl0_12
| ~ spl0_78
| ~ spl0_81 ),
inference(sat_conversion,[],[f17381]) ).
cnf(s1261,plain,
( ~ spl0_13
| ~ spl0_78
| ~ spl0_87 ),
inference(sat_conversion,[],[f17444]) ).
cnf(s1264,plain,
( ~ spl0_13
| ~ spl0_25
| ~ spl0_178
| spl0_230 ),
inference(sat_conversion,[],[f17450]) ).
cnf(s1265,plain,
( ~ spl0_1
| ~ spl0_76
| ~ spl0_78 ),
inference(sat_conversion,[],[f17452]) ).
cnf(s1266,plain,
( ~ spl0_25
| spl0_230
| spl0_294 ),
inference(sat_conversion,[],[f17453]) ).
cnf(s1272,plain,
( ~ spl0_27
| ~ spl0_156
| spl0_162 ),
inference(sat_conversion,[],[f17506]) ).
cnf(s1273,plain,
( ~ spl0_12
| ~ spl0_162
| ~ spl0_238 ),
inference(sat_conversion,[],[f17518]) ).
cnf(s1276,plain,
( ~ spl0_80
| ~ spl0_221
| ~ spl0_230 ),
inference(sat_conversion,[],[f17558]) ).
cnf(s1284,plain,
( ~ spl0_155
| ~ spl0_198
| spl0_319
| spl0_344 ),
inference(sat_conversion,[],[f17629]) ).
cnf(s1286,plain,
( ~ spl0_6
| spl0_148
| ~ spl0_348 ),
inference(sat_conversion,[],[f17664]) ).
cnf(s1292,plain,
( ~ spl0_12
| ~ spl0_163
| ~ spl0_319 ),
inference(sat_conversion,[],[f17698]) ).
cnf(s1294,plain,
( ~ spl0_92
| ~ spl0_152
| spl0_221 ),
inference(sat_conversion,[],[f17728]) ).
cnf(s1295,plain,
( ~ spl0_23
| spl0_148
| ~ spl0_152 ),
inference(sat_conversion,[],[f17729]) ).
cnf(s1304,plain,
( spl0_4
| spl0_178
| ~ spl0_203
| ~ spl0_212
| spl0_238 ),
inference(sat_conversion,[],[f17802]) ).
cnf(s1312,plain,
( spl0_207
| spl0_353 ),
inference(sat_conversion,[],[f17877]) ).
cnf(s1315,plain,
( spl0_98
| spl0_207
| spl0_353 ),
inference(sat_conversion,[],[f17880]) ).
cnf(s1320,plain,
( ~ spl0_162
| ~ spl0_193
| ~ spl0_357 ),
inference(sat_conversion,[],[f17920]) ).
cnf(s1323,plain,
( ~ spl0_25
| spl0_44
| ~ spl0_356
| spl0_357 ),
inference(sat_conversion,[],[f17947]) ).
cnf(s1327,plain,
( ~ spl0_192
| ~ spl0_209
| spl0_215
| spl0_368 ),
inference(sat_conversion,[],[f18014]) ).
cnf(s1331,plain,
( spl0_360
| spl0_367 ),
inference(sat_conversion,[],[f18031]) ).
cnf(s1333,plain,
( ~ spl0_198
| ~ spl0_215
| ~ spl0_353 ),
inference(sat_conversion,[],[f18090]) ).
cnf(s1334,plain,
( ~ spl0_101
| spl0_148
| ~ spl0_215 ),
inference(sat_conversion,[],[f18091]) ).
cnf(s1335,plain,
( spl0_178
| ~ spl0_215
| ~ spl0_235 ),
inference(sat_conversion,[],[f18092]) ).
cnf(s1337,plain,
( ~ spl0_76
| ~ spl0_214
| ~ spl0_216 ),
inference(sat_conversion,[],[f18110]) ).
cnf(s1340,plain,
( ~ spl0_78
| ~ spl0_216
| ~ spl0_319 ),
inference(sat_conversion,[],[f18115]) ).
cnf(s1343,plain,
( ~ spl0_25
| spl0_208
| spl0_214 ),
inference(sat_conversion,[],[f18119]) ).
cnf(s1344,plain,
( ~ spl0_13
| ~ spl0_25
| spl0_214
| ~ spl0_344 ),
inference(sat_conversion,[],[f18120]) ).
cnf(s1345,plain,
( spl0_344
| spl0_346 ),
inference(sat_conversion,[],[f18121]) ).
cnf(s1351,plain,
( spl0_212
| spl0_354 ),
inference(sat_conversion,[],[f18138]) ).
cnf(s1352,plain,
( spl0_212
| spl0_222
| spl0_354 ),
inference(sat_conversion,[],[f18140]) ).
cnf(s1354,plain,
( ~ spl0_8
| ~ spl0_156
| spl0_178 ),
inference(sat_conversion,[],[f18200]) ).
cnf(s1356,plain,
( ~ spl0_148
| ~ spl0_199
| ~ spl0_214 ),
inference(sat_conversion,[],[f18237]) ).
cnf(s1359,plain,
( ~ spl0_162
| ~ spl0_199
| ~ spl0_208 ),
inference(sat_conversion,[],[f18241]) ).
cnf(s1365,plain,
( ~ spl0_13
| ~ spl0_25
| ~ spl0_360
| spl0_378 ),
inference(sat_conversion,[],[f18261]) ).
cnf(s1366,plain,
( ~ spl0_25
| ~ spl0_195
| ~ spl0_294
| spl0_378 ),
inference(sat_conversion,[],[f18262]) ).
cnf(s1375,plain,
( ~ spl0_12
| ~ spl0_162
| ~ spl0_178 ),
inference(sat_conversion,[],[f18354]) ).
cnf(s1383,plain,
( spl0_219
| spl0_222
| ~ spl0_249
| spl0_319 ),
inference(sat_conversion,[],[f18458]) ).
cnf(s1387,plain,
( ~ spl0_43
| spl0_214
| ~ spl0_319 ),
inference(sat_conversion,[],[f18478]) ).
cnf(s1397,plain,
( ~ spl0_12
| ~ spl0_356
| ~ spl0_377 ),
inference(sat_conversion,[],[f18558]) ).
cnf(s1403,plain,
( ~ spl0_159
| ~ spl0_356
| ~ spl0_357 ),
inference(sat_conversion,[],[f18576]) ).
cnf(s1408,plain,
( ~ spl0_84
| spl0_221
| ~ spl0_348 ),
inference(sat_conversion,[],[f18638]) ).
cnf(s1409,plain,
( ~ spl0_28
| spl0_162
| ~ spl0_348 ),
inference(sat_conversion,[],[f18639]) ).
cnf(s1411,plain,
( spl0_78
| spl0_104
| spl0_178
| spl0_221
| spl0_233 ),
inference(sat_conversion,[],[f18644]) ).
cnf(s1413,plain,
( ~ spl0_207
| ~ spl0_233
| ~ spl0_319 ),
inference(sat_conversion,[],[f18646]) ).
cnf(s1417,plain,
( spl0_78
| ~ spl0_81
| ~ spl0_159
| spl0_381 ),
inference(sat_conversion,[],[f18736]) ).
cnf(s1424,plain,
( ~ spl0_80
| ~ spl0_368
| ~ spl0_378 ),
inference(sat_conversion,[],[f18799]) ).
cnf(s1429,plain,
( ~ spl0_152
| spl0_163
| ~ spl0_198 ),
inference(sat_conversion,[],[f18835]) ).
cnf(s1450,plain,
( ~ spl0_13
| spl0_159 ),
inference(sat_conversion,[],[f18973]) ).
cnf(s1468,plain,
( ~ spl0_15
| ~ spl0_357
| ~ spl0_378 ),
inference(sat_conversion,[],[f19089]) ).
cnf(s1470,plain,
( ~ spl0_199
| ~ spl0_214
| ~ spl0_230 ),
inference(sat_conversion,[],[f19124]) ).
cnf(s1474,plain,
( ~ spl0_178
| ~ spl0_199
| ~ spl0_319 ),
inference(sat_conversion,[],[f19130]) ).
cnf(s1476,plain,
( spl0_4
| ~ spl0_199
| ~ spl0_230
| spl0_319
| spl0_344 ),
inference(sat_conversion,[],[f19142]) ).
cnf(s1500,plain,
( spl0_163
| spl0_387 ),
inference(sat_conversion,[],[f19423]) ).
cnf(s1502,plain,
( spl0_163
| spl0_217
| spl0_387 ),
inference(sat_conversion,[],[f19425]) ).
cnf(s1504,plain,
( ~ spl0_203
| ~ spl0_238
| ~ spl0_344 ),
inference(sat_conversion,[],[f19437]) ).
cnf(s1513,plain,
( ~ spl0_25
| spl0_357
| spl0_378 ),
inference(sat_conversion,[],[f19512]) ).
cnf(s1514,plain,
( ~ spl0_193
| ~ spl0_230
| ~ spl0_378 ),
inference(sat_conversion,[],[f19513]) ).
cnf(s1521,plain,
( spl0_361
| spl0_377
| spl0_389 ),
inference(sat_conversion,[],[f19594]) ).
cnf(s1523,plain,
( spl0_222
| spl0_377
| spl0_389 ),
inference(sat_conversion,[],[f19596]) ).
cnf(s1525,plain,
( ~ spl0_178
| ~ spl0_193
| ~ spl0_356 ),
inference(sat_conversion,[],[f19598]) ).
cnf(s1530,plain,
( spl0_366
| spl0_392 ),
inference(sat_conversion,[],[f19620]) ).
cnf(s1531,plain,
( spl0_219
| spl0_366
| spl0_392 ),
inference(sat_conversion,[],[f19621]) ).
cnf(s1533,plain,
( ~ spl0_233
| ~ spl0_360
| ~ spl0_366 ),
inference(sat_conversion,[],[f19635]) ).
cnf(s1536,plain,
( ~ spl0_151
| ~ spl0_165
| ~ spl0_202 ),
inference(sat_conversion,[],[f19657]) ).
cnf(s1537,plain,
( ~ spl0_23
| ~ spl0_165
| spl0_212 ),
inference(sat_conversion,[],[f19658]) ).
cnf(s1538,plain,
( ~ spl0_92
| ~ spl0_165
| spl0_207 ),
inference(sat_conversion,[],[f19659]) ).
cnf(s1545,plain,
( ~ spl0_15
| ~ spl0_162
| ~ spl0_230 ),
inference(sat_conversion,[],[f19707]) ).
cnf(s1547,plain,
( ~ spl0_192
| spl0_365
| spl0_366 ),
inference(sat_conversion,[],[f19798]) ).
cnf(s1550,plain,
( ~ spl0_100
| spl0_162
| ~ spl0_215 ),
inference(sat_conversion,[],[f19843]) ).
cnf(s1551,plain,
( ~ spl0_192
| ~ spl0_215
| ~ spl0_392 ),
inference(sat_conversion,[],[f19844]) ).
cnf(s1553,plain,
( ~ spl0_155
| ~ spl0_192
| spl0_348
| spl0_356 ),
inference(sat_conversion,[],[f19849]) ).
cnf(s1562,plain,
( spl0_178
| ~ spl0_194
| spl0_238
| ~ spl0_367 ),
inference(sat_conversion,[],[f19863]) ).
cnf(s1566,plain,
( ~ spl0_12
| ~ spl0_163
| ~ spl0_344 ),
inference(sat_conversion,[],[f19867]) ).
cnf(s1570,plain,
( ~ spl0_194
| spl0_238
| ~ spl0_367
| spl0_397 ),
inference(sat_conversion,[],[f19876]) ).
cnf(s1588,plain,
( ~ spl0_194
| spl0_230
| ~ spl0_398
| spl0_399 ),
inference(sat_conversion,[],[f19907]) ).
cnf(s1593,plain,
( ~ spl0_2
| spl0_148
| spl0_178
| ~ spl0_192
| ~ spl0_367 ),
inference(sat_conversion,[],[f19914]) ).
cnf(s1602,plain,
( ~ spl0_214
| ~ spl0_319
| ~ spl0_337 ),
inference(sat_conversion,[],[f20019]) ).
cnf(s1605,plain,
( ~ spl0_78
| ~ spl0_356
| ~ spl0_368 ),
inference(sat_conversion,[],[f20065]) ).
cnf(s1609,plain,
( spl0_359
| spl0_364
| spl0_398 ),
inference(sat_conversion,[],[f20082]) ).
cnf(s1611,plain,
( spl0_104
| spl0_233
| ~ spl0_247 ),
inference(sat_conversion,[],[f20118]) ).
cnf(s1612,plain,
( ~ spl0_156
| ~ spl0_192
| ~ spl0_398 ),
inference(sat_conversion,[],[f20159]) ).
cnf(s1613,plain,
( ~ spl0_151
| spl0_152
| ~ spl0_192
| spl0_357 ),
inference(sat_conversion,[],[f20160]) ).
cnf(s1622,plain,
( ~ spl0_152
| ~ spl0_192
| ~ spl0_389 ),
inference(sat_conversion,[],[f20276]) ).
cnf(s1624,plain,
( ~ spl0_202
| ~ spl0_210
| ~ spl0_355 ),
inference(sat_conversion,[],[f20344]) ).
cnf(s1625,plain,
( ~ spl0_18
| ~ spl0_163
| ~ spl0_212 ),
inference(sat_conversion,[],[f20358]) ).
cnf(s1628,plain,
( ~ spl0_163
| ~ spl0_203
| ~ spl0_294 ),
inference(sat_conversion,[],[f20396]) ).
cnf(s1629,plain,
( ~ spl0_203
| ~ spl0_238
| ~ spl0_319 ),
inference(sat_conversion,[],[f20399]) ).
cnf(s1643,plain,
( ~ spl0_194
| ~ spl0_210
| ~ spl0_399 ),
inference(sat_conversion,[],[f20588]) ).
cnf(s1644,plain,
( ~ spl0_15
| ~ spl0_377
| ~ spl0_378 ),
inference(sat_conversion,[],[f20614]) ).
cnf(s1645,plain,
( ~ spl0_80
| ~ spl0_366
| ~ spl0_378 ),
inference(sat_conversion,[],[f20616]) ).
cnf(s1646,plain,
( ~ spl0_78
| ~ spl0_178
| ~ spl0_221 ),
inference(sat_conversion,[],[f20640]) ).
cnf(s1648,plain,
( ~ spl0_221
| ~ spl0_233
| ~ spl0_238 ),
inference(sat_conversion,[],[f20644]) ).
cnf(s1662,plain,
( ~ spl0_197
| ~ spl0_319
| ~ spl0_356 ),
inference(sat_conversion,[],[f20778]) ).
cnf(s1663,plain,
( ~ spl0_197
| ~ spl0_212
| ~ spl0_378 ),
inference(sat_conversion,[],[f20780]) ).
cnf(s1682,plain,
( ~ spl0_207
| ~ spl0_233
| ~ spl0_344 ),
inference(sat_conversion,[],[f21023]) ).
cnf(s1695,plain,
( ~ spl0_165
| ~ spl0_196
| ~ spl0_389 ),
inference(sat_conversion,[],[f21205]) ).
cnf(s1703,plain,
( spl0_165
| ~ spl0_202
| spl0_294
| ~ spl0_387 ),
inference(sat_conversion,[],[f21216]) ).
cnf(s1704,plain,
( ~ spl0_202
| spl0_238
| ~ spl0_346
| spl0_374 ),
inference(sat_conversion,[],[f21217]) ).
cnf(s1708,plain,
( ~ spl0_25
| ~ spl0_193
| spl0_230
| ~ spl0_357 ),
inference(sat_conversion,[],[f21224]) ).
cnf(s1710,plain,
( ~ spl0_15
| ~ spl0_163
| ~ spl0_214 ),
inference(sat_conversion,[],[f21288]) ).
cnf(s1729,plain,
( ~ spl0_178
| ~ spl0_221
| ~ spl0_233 ),
inference(sat_conversion,[],[f21440]) ).
cnf(s1730,plain,
( ~ spl0_1
| ~ spl0_148
| ~ spl0_178 ),
inference(sat_conversion,[],[f21442]) ).
cnf(s1739,plain,
( ~ spl0_8
| spl0_78
| ~ spl0_94 ),
inference(sat_conversion,[],[f21461]) ).
cnf(s1750,plain,
( ~ spl0_18
| ~ spl0_230
| ~ spl0_294 ),
inference(sat_conversion,[],[f21571]) ).
cnf(s1751,plain,
( spl0_13
| ~ spl0_18
| spl0_47
| ~ spl0_337 ),
inference(sat_conversion,[],[f21574]) ).
cnf(s1753,plain,
( spl0_4
| ~ spl0_18
| spl0_178
| spl0_238
| ~ spl0_294 ),
inference(sat_conversion,[],[f21583]) ).
cnf(s1761,plain,
( ~ spl0_78
| ~ spl0_238
| ~ spl0_293 ),
inference(sat_conversion,[],[f21788]) ).
cnf(s1764,plain,
( ~ spl0_15
| ~ spl0_148
| ~ spl0_162 ),
inference(sat_conversion,[],[f21875]) ).
cnf(s1775,plain,
( ~ spl0_6
| spl0_364
| ~ spl0_397 ),
inference(sat_conversion,[],[f22006]) ).
cnf(s1777,plain,
( ~ spl0_195
| ~ spl0_238
| ~ spl0_360 ),
inference(sat_conversion,[],[f22065]) ).
cnf(s1780,plain,
( spl0_148
| ~ spl0_194
| spl0_363 ),
inference(sat_conversion,[],[f22117]) ).
cnf(s1786,plain,
( ~ spl0_201
| ~ spl0_214
| ~ spl0_364 ),
inference(sat_conversion,[],[f22204]) ).
cnf(s1787,plain,
( ~ spl0_201
| ~ spl0_319
| ~ spl0_360 ),
inference(sat_conversion,[],[f22207]) ).
cnf(s1797,plain,
( ~ spl0_100
| spl0_163
| ~ spl0_352 ),
inference(sat_conversion,[],[f22296]) ).
cnf(s1798,plain,
( ~ spl0_92
| spl0_366
| ~ spl0_394 ),
inference(sat_conversion,[],[f22340]) ).
cnf(s1799,plain,
( ~ spl0_200
| ~ spl0_387
| ~ spl0_394 ),
inference(sat_conversion,[],[f22341]) ).
cnf(s1801,plain,
( ~ spl0_193
| ~ spl0_238
| ~ spl0_356 ),
inference(sat_conversion,[],[f22343]) ).
cnf(s1807,plain,
( ~ spl0_80
| ~ spl0_207
| ~ spl0_212 ),
inference(sat_conversion,[],[f22352]) ).
cnf(s1819,plain,
( ~ spl0_199
| ~ spl0_238
| ~ spl0_319 ),
inference(sat_conversion,[],[f22541]) ).
cnf(s1825,plain,
( ~ spl0_80
| ~ spl0_148
| ~ spl0_221 ),
inference(sat_conversion,[],[f22560]) ).
cnf(s1834,plain,
( ~ spl0_22
| ~ spl0_152
| spl0_178 ),
inference(sat_conversion,[],[f22870]) ).
cnf(s1839,plain,
( spl0_4
| spl0_178
| ~ spl0_195
| spl0_238
| ~ spl0_364 ),
inference(sat_conversion,[],[f22977]) ).
cnf(s1840,plain,
( ~ spl0_13
| ~ spl0_163
| ~ spl0_344 ),
inference(sat_conversion,[],[f22999]) ).
cnf(s1841,plain,
( ~ spl0_8
| spl0_344
| ~ spl0_355 ),
inference(sat_conversion,[],[f23001]) ).
cnf(s1865,plain,
( ~ spl0_76
| ~ spl0_148
| ~ spl0_221 ),
inference(sat_conversion,[],[f23181]) ).
cnf(s1872,plain,
( ~ spl0_9
| spl0_76
| spl0_98
| spl0_233 ),
inference(sat_conversion,[],[f23208]) ).
cnf(s1877,plain,
( ~ spl0_13
| ~ spl0_78
| ~ spl0_81 ),
inference(sat_conversion,[],[f23259]) ).
cnf(s1879,plain,
( ~ spl0_1
| ~ spl0_18
| ~ spl0_159 ),
inference(sat_conversion,[],[f23265]) ).
cnf(s1894,plain,
( ~ spl0_192
| spl0_363
| spl0_364 ),
inference(sat_conversion,[],[f23467]) ).
cnf(s1897,plain,
( ~ spl0_194
| spl0_293
| ~ spl0_392
| spl0_393 ),
inference(sat_conversion,[],[f23502]) ).
cnf(s1898,plain,
( spl0_178
| ~ spl0_194
| spl0_371 ),
inference(sat_conversion,[],[f23503]) ).
cnf(s1902,plain,
( ~ spl0_163
| ~ spl0_197
| ~ spl0_357 ),
inference(sat_conversion,[],[f23519]) ).
cnf(s1916,plain,
( ~ spl0_111
| spl0_356
| ~ spl0_368 ),
inference(sat_conversion,[],[f23963]) ).
cnf(s1923,plain,
( ~ spl0_111
| spl0_356
| ~ spl0_366 ),
inference(sat_conversion,[],[f23973]) ).
cnf(s1938,plain,
( ~ spl0_27
| spl0_377
| ~ spl0_399 ),
inference(sat_conversion,[],[f24009]) ).
cnf(s1939,plain,
( ~ spl0_235
| spl0_344
| ~ spl0_352 ),
inference(sat_conversion,[],[f24060]) ).
cnf(s1940,plain,
( ~ spl0_101
| spl0_212
| ~ spl0_352 ),
inference(sat_conversion,[],[f24061]) ).
cnf(s1941,plain,
( ~ spl0_151
| ~ spl0_194
| ~ spl0_394 ),
inference(sat_conversion,[],[f24082]) ).
cnf(s1942,plain,
( spl0_163
| ~ spl0_200
| ~ spl0_389
| spl0_413 ),
inference(sat_conversion,[],[f24083]) ).
cnf(s1944,plain,
( ~ spl0_15
| ~ spl0_364
| ~ spl0_377 ),
inference(sat_conversion,[],[f24124]) ).
cnf(s1945,plain,
( ~ spl0_27
| spl0_163
| ~ spl0_355 ),
inference(sat_conversion,[],[f24149]) ).
cnf(s1946,plain,
( ~ spl0_196
| spl0_360
| spl0_420 ),
inference(sat_conversion,[],[f24233]) ).
cnf(s1948,plain,
( ~ spl0_196
| spl0_364
| spl0_407 ),
inference(sat_conversion,[],[f24235]) ).
cnf(s1949,plain,
( ~ spl0_196
| ~ spl0_346
| spl0_360
| spl0_373 ),
inference(sat_conversion,[],[f24236]) ).
cnf(s1950,plain,
( ~ spl0_196
| ~ spl0_355
| ~ spl0_398 ),
inference(sat_conversion,[],[f24237]) ).
cnf(s1951,plain,
( ~ spl0_8
| spl0_13
| ~ spl0_26 ),
inference(sat_conversion,[],[f24238]) ).
cnf(s1952,plain,
( spl0_165
| ~ spl0_196
| spl0_357
| ~ spl0_387 ),
inference(sat_conversion,[],[f24239]) ).
cnf(s1953,plain,
( ~ spl0_196
| spl0_377
| ~ spl0_387
| spl0_403 ),
inference(sat_conversion,[],[f24241]) ).
cnf(s1954,plain,
( spl0_13
| spl0_98
| spl0_178
| spl0_238
| spl0_294 ),
inference(sat_conversion,[],[f24243]) ).
cnf(s1955,plain,
( ~ spl0_196
| spl0_352
| ~ spl0_353
| spl0_368 ),
inference(sat_conversion,[],[f24244]) ).
cnf(s1970,plain,
( spl0_1
| spl0_4
| spl0_13
| spl0_18 ),
inference(sat_conversion,[],[f24323]) ).
cnf(s1974,plain,
( ~ spl0_15
| ~ spl0_80
| ~ spl0_87 ),
inference(sat_conversion,[],[f24385]) ).
cnf(s1990,plain,
( ~ spl0_13
| ~ spl0_162
| ~ spl0_178 ),
inference(sat_conversion,[],[f24572]) ).
cnf(s1993,plain,
( ~ spl0_196
| ~ spl0_346
| spl0_356
| spl0_374 ),
inference(sat_conversion,[],[f24578]) ).
cnf(s1995,plain,
( ~ spl0_196
| ~ spl0_354
| spl0_355
| spl0_378 ),
inference(sat_conversion,[],[f24580]) ).
cnf(s1999,plain,
( ~ spl0_196
| ~ spl0_346
| spl0_356
| spl0_360 ),
inference(sat_conversion,[],[f24584]) ).
cnf(s2024,plain,
~ spl0_222,
inference(sat_conversion,[],[f24780]) ).
cnf(s2026,plain,
( ~ spl0_151
| spl0_152
| ~ spl0_198
| spl0_208 ),
inference(sat_conversion,[],[f24782]) ).
cnf(s2031,plain,
( ~ spl0_18
| ~ spl0_148
| ~ spl0_294 ),
inference(sat_conversion,[],[f24956]) ).
cnf(s2036,plain,
( ~ spl0_192
| ~ spl0_209
| spl0_215
| spl0_368 ),
inference(sat_conversion,[],[f25026]) ).
cnf(s2042,plain,
( ~ spl0_195
| ~ spl0_238
| ~ spl0_356 ),
inference(sat_conversion,[],[f25040]) ).
cnf(s2043,plain,
( spl0_156
| ~ spl0_192
| ~ spl0_210
| spl0_378 ),
inference(sat_conversion,[],[f25041]) ).
cnf(s2046,plain,
( ~ spl0_87
| ~ spl0_163
| ~ spl0_207 ),
inference(sat_conversion,[],[f25191]) ).
cnf(s2050,plain,
( ~ spl0_95
| spl0_207
| ~ spl0_355 ),
inference(sat_conversion,[],[f25240]) ).
cnf(s2052,plain,
( ~ spl0_4
| ~ spl0_148
| ~ spl0_178 ),
inference(sat_conversion,[],[f25247]) ).
cnf(s2057,plain,
( spl0_1
| spl0_4
| spl0_76
| spl0_78 ),
inference(sat_conversion,[],[f25254]) ).
cnf(s2058,plain,
( ~ spl0_4
| spl0_337 ),
inference(sat_conversion,[],[f25259]) ).
cnf(s2062,plain,
( ~ spl0_18
| ~ spl0_208
| ~ spl0_212 ),
inference(sat_conversion,[],[f25310]) ).
cnf(s2093,plain,
( ~ spl0_4
| ~ spl0_360
| ~ spl0_364 ),
inference(sat_conversion,[],[f25907]) ).
cnf(s2097,plain,
( ~ spl0_87
| ~ spl0_208
| ~ spl0_216 ),
inference(sat_conversion,[],[f25954]) ).
cnf(s2109,plain,
( ~ spl0_87
| ~ spl0_357
| ~ spl0_368 ),
inference(sat_conversion,[],[f26082]) ).
cnf(s2110,plain,
( ~ spl0_87
| ~ spl0_162
| ~ spl0_221 ),
inference(sat_conversion,[],[f26096]) ).
cnf(s2111,plain,
( spl0_12
| spl0_13
| spl0_98
| spl0_162
| spl0_178 ),
inference(sat_conversion,[],[f26097]) ).
cnf(s2113,plain,
( ~ spl0_15
| ~ spl0_230
| ~ spl0_294 ),
inference(sat_conversion,[],[f26099]) ).
cnf(s2121,plain,
( spl0_4
| spl0_78
| spl0_80
| spl0_233 ),
inference(sat_conversion,[],[f26112]) ).
cnf(s2123,plain,
( spl0_1
| spl0_4
| spl0_10 ),
inference(sat_conversion,[],[f26114]) ).
cnf(s2125,plain,
( spl0_1
| spl0_4
| spl0_322 ),
inference(sat_conversion,[],[f26116]) ).
cnf(s2131,plain,
( ~ spl0_1
| ~ spl0_76
| ~ spl0_233 ),
inference(sat_conversion,[],[f26211]) ).
cnf(s2134,plain,
( ~ spl0_78
| ~ spl0_296
| spl0_409 ),
inference(sat_conversion,[],[f26240]) ).
cnf(s2136,plain,
( ~ spl0_356
| ~ spl0_409 ),
inference(sat_conversion,[],[f26247]) ).
cnf(s2147,plain,
( ~ spl0_33
| spl0_217
| spl0_230
| spl0_238 ),
inference(sat_conversion,[],[f26356]) ).
cnf(s2152,plain,
( ~ spl0_1
| ~ spl0_356
| ~ spl0_364 ),
inference(sat_conversion,[],[f26425]) ).
cnf(s2154,plain,
( ~ spl0_192
| ~ spl0_348
| ~ spl0_367 ),
inference(sat_conversion,[],[f26480]) ).
cnf(s2156,plain,
( ~ spl0_155
| ~ spl0_192
| spl0_345
| spl0_360 ),
inference(sat_conversion,[],[f26482]) ).
cnf(s2157,plain,
( ~ spl0_151
| ~ spl0_192
| spl0_376
| spl0_377 ),
inference(sat_conversion,[],[f26484]) ).
cnf(s2158,plain,
( ~ spl0_155
| ~ spl0_192
| spl0_356
| spl0_360 ),
inference(sat_conversion,[],[f26485]) ).
cnf(s2161,plain,
( ~ spl0_4
| ~ spl0_212
| ~ spl0_344 ),
inference(sat_conversion,[],[f26536]) ).
cnf(s2177,plain,
( ~ spl0_203
| ~ spl0_207
| ~ spl0_293 ),
inference(sat_conversion,[],[f26725]) ).
cnf(s2185,plain,
( ~ spl0_195
| ~ spl0_294
| ~ spl0_377 ),
inference(sat_conversion,[],[f26791]) ).
cnf(s2190,plain,
( spl0_12
| spl0_13
| spl0_41
| spl0_78
| ~ spl0_162
| ~ spl0_221 ),
inference(sat_conversion,[],[f26799]) ).
cnf(s2194,plain,
( ~ spl0_337
| ~ spl0_356
| ~ spl0_378 ),
inference(sat_conversion,[],[f26914]) ).
cnf(s2196,plain,
( spl0_13
| spl0_18
| spl0_41
| ~ spl0_44 ),
inference(sat_conversion,[],[f26934]) ).
cnf(s2207,plain,
( spl0_162
| ~ spl0_202
| spl0_386
| ~ spl0_387 ),
inference(sat_conversion,[],[f27045]) ).
cnf(s2209,plain,
( ~ spl0_193
| ~ spl0_294
| ~ spl0_357 ),
inference(sat_conversion,[],[f27071]) ).
cnf(s2210,plain,
( spl0_165
| ~ spl0_202
| spl0_294
| ~ spl0_387 ),
inference(sat_conversion,[],[f27072]) ).
cnf(s2211,plain,
( spl0_178
| ~ spl0_202
| spl0_238
| ~ spl0_346 ),
inference(sat_conversion,[],[f27073]) ).
cnf(s2214,plain,
( spl0_178
| ~ spl0_202
| ~ spl0_346
| spl0_373 ),
inference(sat_conversion,[],[f27078]) ).
cnf(s2221,plain,
( spl0_151
| spl0_162
| spl0_218 ),
inference(sat_conversion,[],[f27114]) ).
cnf(s2227,plain,
( ~ spl0_1
| ~ spl0_148
| ~ spl0_238 ),
inference(sat_conversion,[],[f27173]) ).
cnf(s2245,plain,
( ~ spl0_42
| spl0_48 ),
inference(sat_conversion,[],[f27395]) ).
cnf(s2248,plain,
( spl0_212
| ~ spl0_386
| ~ spl0_442 ),
inference(sat_conversion,[],[f27435]) ).
cnf(s2249,plain,
( spl0_344
| ~ spl0_386
| ~ spl0_443 ),
inference(sat_conversion,[],[f27439]) ).
cnf(s2251,plain,
( spl0_238
| spl0_443 ),
inference(sat_conversion,[],[f27448]) ).
cnf(s2254,plain,
( spl0_230
| spl0_442 ),
inference(sat_conversion,[],[f27461]) ).
cnf(s2257,plain,
( ~ spl0_193
| ~ spl0_197
| ~ spl0_203 ),
inference(sat_conversion,[],[f27495]) ).
cnf(s2259,plain,
( ~ spl0_162
| ~ spl0_163
| ~ spl0_203 ),
inference(sat_conversion,[],[f27501]) ).
cnf(s2260,plain,
( ~ spl0_203
| ~ spl0_207
| ~ spl0_221 ),
inference(sat_conversion,[],[f27503]) ).
cnf(s2263,plain,
( ~ spl0_193
| ~ spl0_221
| ~ spl0_368 ),
inference(sat_conversion,[],[f27508]) ).
cnf(s2265,plain,
( ~ spl0_148
| ~ spl0_193
| ~ spl0_378 ),
inference(sat_conversion,[],[f27510]) ).
cnf(s2267,plain,
( spl0_78
| ~ spl0_193
| spl0_219
| ~ spl0_221
| spl0_356
| spl0_360 ),
inference(sat_conversion,[],[f27513]) ).
cnf(s2269,plain,
( ~ spl0_148
| ~ spl0_203
| ~ spl0_212 ),
inference(sat_conversion,[],[f27538]) ).
cnf(s2271,plain,
( ~ spl0_52
| spl0_78
| spl0_104 ),
inference(sat_conversion,[],[f27562]) ).
cnf(s2272,plain,
( ~ spl0_52
| ~ spl0_178
| ~ spl0_203
| spl0_219 ),
inference(sat_conversion,[],[f27565]) ).
cnf(s2279,plain,
( ~ spl0_84
| spl0_207
| ~ spl0_374 ),
inference(sat_conversion,[],[f27675]) ).
cnf(s2283,plain,
( ~ spl0_12
| ~ spl0_360
| ~ spl0_377 ),
inference(sat_conversion,[],[f27737]) ).
cnf(s2289,plain,
( ~ spl0_198
| spl0_206
| spl0_207 ),
inference(sat_conversion,[],[f27842]) ).
cnf(s2290,plain,
( ~ spl0_198
| spl0_211
| spl0_212 ),
inference(sat_conversion,[],[f27843]) ).
cnf(s2293,plain,
( ~ spl0_155
| ~ spl0_202
| ~ spl0_374 ),
inference(sat_conversion,[],[f27881]) ).
cnf(s2294,plain,
( spl0_178
| ~ spl0_202
| spl0_347 ),
inference(sat_conversion,[],[f27882]) ).
cnf(s2298,plain,
( ~ spl0_155
| spl0_356
| ~ spl0_376 ),
inference(sat_conversion,[],[f27933]) ).
cnf(s2300,plain,
( spl0_377
| ~ spl0_388
| ~ spl0_447 ),
inference(sat_conversion,[],[f27954]) ).
cnf(s2301,plain,
( spl0_366
| ~ spl0_388
| ~ spl0_448 ),
inference(sat_conversion,[],[f27958]) ).
cnf(s2308,plain,
( ~ spl0_354
| spl0_378
| ~ spl0_403 ),
inference(sat_conversion,[],[f28017]) ).
cnf(s2309,plain,
( spl0_357
| ~ spl0_387
| ~ spl0_403 ),
inference(sat_conversion,[],[f28018]) ).
cnf(s2310,plain,
( ~ spl0_193
| ~ spl0_221
| ~ spl0_353
| ~ spl0_403 ),
inference(sat_conversion,[],[f28019]) ).
cnf(s2313,plain,
( spl0_364
| ~ spl0_413
| ~ spl0_454 ),
inference(sat_conversion,[],[f28047]) ).
cnf(s2314,plain,
( spl0_377
| ~ spl0_413
| ~ spl0_455 ),
inference(sat_conversion,[],[f28051]) ).
cnf(s2317,plain,
( spl0_214
| spl0_454 ),
inference(sat_conversion,[],[f28068]) ).
cnf(s2321,plain,
( spl0_208
| spl0_455 ),
inference(sat_conversion,[],[f28085]) ).
cnf(s2324,plain,
( spl0_216
| spl0_453 ),
inference(sat_conversion,[],[f28098]) ).
cnf(s2345,plain,
( ~ spl0_95
| ~ spl0_211
| spl0_216
| ~ spl0_448 ),
inference(sat_conversion,[],[f28323]) ).
cnf(s2347,plain,
( ~ spl0_101
| ~ spl0_206
| spl0_214
| ~ spl0_442 ),
inference(sat_conversion,[],[f28422]) ).
cnf(s2349,plain,
( ~ spl0_27
| spl0_357
| ~ spl0_407
| ~ spl0_455 ),
inference(sat_conversion,[],[f28448]) ).
cnf(s2350,plain,
( ~ spl0_235
| spl0_356
| ~ spl0_365
| ~ spl0_443 ),
inference(sat_conversion,[],[f28466]) ).
cnf(s2383,plain,
( ~ spl0_248
| spl0_356
| spl0_359
| spl0_361 ),
inference(sat_conversion,[],[f29401]) ).
cnf(s2384,plain,
( spl0_217
| spl0_218
| spl0_238
| ~ spl0_248 ),
inference(sat_conversion,[],[f29403]) ).
cnf(s2440,plain,
( ~ spl0_221
| spl0_238
| ~ spl0_290 ),
inference(sat_conversion,[],[f30495]) ).
cnf(s2458,plain,
( ~ spl0_32
| spl0_245 ),
inference(sat_conversion,[],[f30530]) ).
cnf(s2459,plain,
( ~ spl0_47
| spl0_98
| spl0_178
| ~ spl0_230 ),
inference(sat_conversion,[],[f30540]) ).
cnf(s2463,plain,
( ~ spl0_197
| ~ spl0_212
| ~ spl0_322
| spl0_360 ),
inference(sat_conversion,[],[f30622]) ).
cnf(s2465,plain,
( ~ spl0_148
| ~ spl0_195
| ~ spl0_322
| spl0_360 ),
inference(sat_conversion,[],[f30627]) ).
cnf(s2502,plain,
( ~ spl0_108
| ~ spl0_197
| spl0_207
| spl0_356
| spl0_359 ),
inference(sat_conversion,[],[f31721]) ).
cnf(s2525,plain,
( ~ spl0_108
| ~ spl0_233
| spl0_356
| spl0_359 ),
inference(sat_conversion,[],[f31812]) ).
cnf(s2547,plain,
( ~ spl0_108
| spl0_217
| spl0_238
| ~ spl0_293 ),
inference(sat_conversion,[],[f31842]) ).
cnf(s2550,plain,
( ~ spl0_108
| spl0_217
| ~ spl0_233
| spl0_238 ),
inference(sat_conversion,[],[f31848]) ).
cnf(s2680,plain,
( ~ spl0_245
| spl0_357
| spl0_360
| spl0_361 ),
inference(sat_conversion,[],[f33550]) ).
cnf(s2707,plain,
~ spl0_361,
inference(sat_conversion,[],[f33778]) ).
cnf(s2715,plain,
( ~ spl0_202
| spl0_238
| ~ spl0_373 ),
inference(sat_conversion,[],[f33894]) ).
cnf(s2716,plain,
( spl0_12
| spl0_163
| ~ spl0_373 ),
inference(sat_conversion,[],[f33895]) ).
cnf(s2762,plain,
( spl0_104
| spl0_178
| ~ spl0_294
| ~ spl0_381 ),
inference(sat_conversion,[],[f34554]) ).
cnf(s2795,plain,
( ~ spl0_197
| ~ spl0_223
| spl0_356
| spl0_359 ),
inference(sat_conversion,[],[f35085]) ).
cnf(s2821,plain,
~ spl0_359,
inference(sat_conversion,[],[f35334]) ).
cnf(s2847,plain,
( ~ spl0_26
| spl0_357
| spl0_359
| spl0_361
| spl0_364 ),
inference(sat_conversion,[],[f35606]) ).
cnf(s2851,plain,
( ~ spl0_26
| spl0_208
| spl0_212
| spl0_219
| spl0_222 ),
inference(sat_conversion,[],[f35619]) ).
cnf(s2852,plain,
( ~ spl0_26
| spl0_76
| spl0_87
| spl0_98
| spl0_104 ),
inference(sat_conversion,[],[f35621]) ).
cnf(s2857,plain,
( spl0_293
| spl0_448 ),
inference(sat_conversion,[],[f35636]) ).
cnf(s2860,plain,
( ~ spl0_206
| ~ spl0_235
| spl0_319
| ~ spl0_443 ),
inference(sat_conversion,[],[f35648]) ).
cnf(s2869,plain,
( ~ spl0_195
| ~ spl0_197
| ~ spl0_203 ),
inference(sat_conversion,[],[f35666]) ).
cnf(s2874,plain,
( ~ spl0_8
| ~ spl0_211
| spl0_319
| ~ spl0_443 ),
inference(sat_conversion,[],[f35674]) ).
cnf(s2877,plain,
( spl0_12
| spl0_13
| spl0_222
| spl0_360
| spl0_377 ),
inference(sat_conversion,[],[f35680]) ).
cnf(s2879,plain,
( ~ spl0_84
| spl0_368
| ~ spl0_420
| ~ spl0_453 ),
inference(sat_conversion,[],[f35683]) ).
cnf(s2880,plain,
( spl0_12
| spl0_13
| spl0_163
| spl0_217
| spl0_344 ),
inference(sat_conversion,[],[f35684]) ).
cnf(s2882,plain,
( spl0_294
| spl0_447 ),
inference(sat_conversion,[],[f35689]) ).
cnf(s2883,plain,
( ~ spl0_155
| ~ spl0_198
| spl0_319
| spl0_348 ),
inference(sat_conversion,[],[f35690]) ).
cnf(s2887,plain,
( ~ spl0_198
| ~ spl0_209
| spl0_215
| spl0_216 ),
inference(sat_conversion,[],[f35697]) ).
cnf(s2895,plain,
( spl0_98
| spl0_294
| spl0_447 ),
inference(sat_conversion,[],[f35705]) ).
cnf(s2897,plain,
( spl0_221
| spl0_233
| ~ spl0_345 ),
inference(sat_conversion,[],[f35707]) ).
cnf(s2900,plain,
( spl0_104
| spl0_293
| spl0_448 ),
inference(sat_conversion,[],[f35709]) ).
cnf(s2903,plain,
( spl0_1
| spl0_148
| ~ spl0_345 ),
inference(sat_conversion,[],[f35710]) ).
cnf(s2905,plain,
( spl0_156
| ~ spl0_198
| ~ spl0_210
| spl0_214 ),
inference(sat_conversion,[],[f35715]) ).
cnf(s2906,plain,
( ~ spl0_28
| spl0_357
| ~ spl0_371
| ~ spl0_447 ),
inference(sat_conversion,[],[f35716]) ).
cnf(s2908,plain,
( ~ spl0_84
| spl0_368
| ~ spl0_371
| ~ spl0_448 ),
inference(sat_conversion,[],[f35721]) ).
cnf(s2915,plain,
( ~ spl0_27
| spl0_208
| ~ spl0_211
| ~ spl0_447 ),
inference(sat_conversion,[],[f35735]) ).
cnf(s2916,plain,
( ~ spl0_95
| ~ spl0_363
| spl0_368
| ~ spl0_448 ),
inference(sat_conversion,[],[f35736]) ).
cnf(s2920,plain,
( ~ spl0_28
| spl0_208
| ~ spl0_347
| ~ spl0_447 ),
inference(sat_conversion,[],[f35743]) ).
cnf(s2925,plain,
( ~ spl0_27
| spl0_357
| ~ spl0_363
| ~ spl0_447 ),
inference(sat_conversion,[],[f35748]) ).
cnf(s2926,plain,
( ~ spl0_155
| ~ spl0_198
| spl0_344
| spl0_345 ),
inference(sat_conversion,[],[f35749]) ).
cnf(s2929,plain,
( spl0_12
| spl0_13
| spl0_38 ),
inference(sat_conversion,[],[f35769]) ).
cnf(s2936,plain,
( ~ spl0_360
| spl0_543 ),
inference(sat_conversion,[],[f35861]) ).
cnf(s2937,plain,
( ~ spl0_178
| ~ spl0_195
| ~ spl0_360 ),
inference(sat_conversion,[],[f35863]) ).
cnf(s2947,plain,
( ~ spl0_207
| spl0_504 ),
inference(sat_conversion,[],[f35951]) ).
cnf(s2948,plain,
( ~ spl0_216
| spl0_504 ),
inference(sat_conversion,[],[f35958]) ).
cnf(s2950,plain,
( ~ spl0_162
| ~ spl0_195
| ~ spl0_377 ),
inference(sat_conversion,[],[f35983]) ).
cnf(s2952,plain,
( ~ spl0_18
| ~ spl0_357
| ~ spl0_378 ),
inference(sat_conversion,[],[f36018]) ).
cnf(s2967,plain,
( ~ spl0_199
| spl0_500 ),
inference(sat_conversion,[],[f36142]) ).
cnf(s2968,plain,
( ~ spl0_203
| spl0_500 ),
inference(sat_conversion,[],[f36149]) ).
cnf(s2972,plain,
( ~ spl0_1
| ~ spl0_364
| ~ spl0_543 ),
inference(sat_conversion,[],[f36196]) ).
cnf(s2974,plain,
( ~ spl0_4
| ~ spl0_178
| ~ spl0_230 ),
inference(sat_conversion,[],[f36257]) ).
cnf(s2977,plain,
( ~ spl0_8
| spl0_356
| ~ spl0_363
| ~ spl0_443 ),
inference(sat_conversion,[],[f36261]) ).
cnf(s2984,plain,
( ~ spl0_233
| ~ spl0_356
| ~ spl0_368 ),
inference(sat_conversion,[],[f36313]) ).
cnf(s2985,plain,
( spl0_13
| spl0_41
| spl0_78
| spl0_87
| spl0_233 ),
inference(sat_conversion,[],[f36315]) ).
cnf(s2989,plain,
( ~ spl0_4
| ~ spl0_76
| ~ spl0_78 ),
inference(sat_conversion,[],[f36391]) ).
cnf(s2997,plain,
( ~ spl0_87
| ~ spl0_293
| ~ spl0_294 ),
inference(sat_conversion,[],[f36470]) ).
cnf(s3006,plain,
( spl0_4
| spl0_178
| spl0_230
| spl0_238 ),
inference(sat_conversion,[],[f36526]) ).
cnf(s3007,plain,
( spl0_4
| spl0_356
| spl0_360
| spl0_378 ),
inference(sat_conversion,[],[f36527]) ).
cnf(s3068,plain,
( ~ spl0_18
| ~ spl0_44
| ~ spl0_162
| spl0_178
| spl0_217 ),
inference(sat_conversion,[],[f37230]) ).
cnf(s3069,plain,
( ~ spl0_44
| ~ spl0_76
| spl0_178
| spl0_217
| ~ spl0_221 ),
inference(sat_conversion,[],[f37232]) ).
cnf(s3071,plain,
( ~ spl0_194
| spl0_294
| ~ spl0_389
| spl0_394 ),
inference(sat_conversion,[],[f37235]) ).
cnf(s3073,plain,
( spl0_1
| spl0_4
| spl0_44 ),
inference(sat_conversion,[],[f37239]) ).
cnf(s3079,plain,
( spl0_162
| ~ spl0_194
| spl0_388
| ~ spl0_389 ),
inference(sat_conversion,[],[f37255]) ).
cnf(s3086,plain,
( spl0_4
| spl0_214
| spl0_319
| spl0_344 ),
inference(sat_conversion,[],[f37269]) ).
cnf(s3087,plain,
( ~ spl0_194
| spl0_221
| spl0_365 ),
inference(sat_conversion,[],[f37270]) ).
cnf(s3089,plain,
( ~ spl0_3
| spl0_148
| ~ spl0_194
| ~ spl0_367
| ~ spl0_398 ),
inference(sat_conversion,[],[f37274]) ).
cnf(s3090,plain,
( ~ spl0_77
| ~ spl0_194
| spl0_221
| ~ spl0_367
| ~ spl0_392 ),
inference(sat_conversion,[],[f37275]) ).
cnf(s3098,plain,
( spl0_13
| ~ spl0_15
| spl0_47
| ~ spl0_337 ),
inference(sat_conversion,[],[f37394]) ).
cnf(s3103,plain,
( ~ spl0_202
| spl0_293
| spl0_352
| ~ spl0_353 ),
inference(sat_conversion,[],[f37528]) ).
cnf(s3105,plain,
( ~ spl0_202
| spl0_206
| spl0_221 ),
inference(sat_conversion,[],[f37531]) ).
cnf(s3116,plain,
( ~ spl0_202
| ~ spl0_209
| ~ spl0_352 ),
inference(sat_conversion,[],[f37670]) ).
cnf(s3118,plain,
( ~ spl0_78
| ~ spl0_344
| ~ spl0_504 ),
inference(sat_conversion,[],[f37704]) ).
cnf(s3122,plain,
( ~ spl0_80
| ~ spl0_233
| ~ spl0_337 ),
inference(sat_conversion,[],[f37710]) ).
cnf(s3128,plain,
( ~ spl0_76
| ~ spl0_148
| ~ spl0_293 ),
inference(sat_conversion,[],[f37769]) ).
cnf(s3131,plain,
( spl0_148
| ~ spl0_202
| spl0_211 ),
inference(sat_conversion,[],[f37774]) ).
cnf(s3133,plain,
( spl0_148
| ~ spl0_194
| spl0_363 ),
inference(sat_conversion,[],[f37776]) ).
cnf(s3134,plain,
( ~ spl0_194
| spl0_230
| ~ spl0_398
| spl0_399 ),
inference(sat_conversion,[],[f37777]) ).
cnf(s3135,plain,
( ~ spl0_202
| spl0_230
| ~ spl0_354
| spl0_355 ),
inference(sat_conversion,[],[f37778]) ).
cnf(s3139,plain,
( ~ spl0_78
| ~ spl0_178
| ~ spl0_293 ),
inference(sat_conversion,[],[f37782]) ).
cnf(s3142,plain,
( ~ spl0_44
| spl0_76
| spl0_78
| spl0_98 ),
inference(sat_conversion,[],[f37831]) ).
cnf(s3167,plain,
( ~ spl0_194
| ~ spl0_209
| ~ spl0_393 ),
inference(sat_conversion,[],[f38098]) ).
cnf(s3168,plain,
( ~ spl0_101
| spl0_364
| ~ spl0_393 ),
inference(sat_conversion,[],[f38099]) ).
cnf(s3169,plain,
( ~ spl0_193
| ~ spl0_197
| ~ spl0_500 ),
inference(sat_conversion,[],[f38113]) ).
cnf(s3170,plain,
( ~ spl0_178
| ~ spl0_344
| ~ spl0_500 ),
inference(sat_conversion,[],[f38116]) ).
cnf(s3180,plain,
( spl0_13
| spl0_208
| spl0_217
| spl0_319
| spl0_344 ),
inference(sat_conversion,[],[f38148]) ).
cnf(s3183,plain,
( spl0_13
| spl0_222
| spl0_356
| spl0_357
| spl0_360 ),
inference(sat_conversion,[],[f38155]) ).
cnf(s3184,plain,
( spl0_78
| spl0_216
| spl0_218
| spl0_319
| spl0_344 ),
inference(sat_conversion,[],[f38156]) ).
cnf(s3186,plain,
( spl0_1
| spl0_4
| spl0_212
| spl0_344 ),
inference(sat_conversion,[],[f38158]) ).
cnf(s3195,plain,
( ~ spl0_233
| ~ spl0_296
| spl0_409 ),
inference(sat_conversion,[],[f38267]) ).
cnf(s3197,plain,
( ~ spl0_238
| ~ spl0_409 ),
inference(sat_conversion,[],[f38272]) ).
cnf(s3214,plain,
( ~ spl0_76
| ~ spl0_368
| ~ spl0_378 ),
inference(sat_conversion,[],[f38422]) ).
cnf(s3219,plain,
( spl0_41
| spl0_209
| spl0_221 ),
inference(sat_conversion,[],[f38447]) ).
cnf(s3227,plain,
( ~ spl0_192
| spl0_360
| spl0_371 ),
inference(sat_conversion,[],[f38547]) ).
cnf(s3238,plain,
( ~ spl0_6
| spl0_12
| ~ spl0_42 ),
inference(sat_conversion,[],[f38591]) ).
cnf(s3241,plain,
( ~ spl0_199
| ~ spl0_216
| ~ spl0_293 ),
inference(sat_conversion,[],[f38594]) ).
cnf(s3247,plain,
( ~ spl0_13
| ~ spl0_360
| ~ spl0_377 ),
inference(sat_conversion,[],[f38673]) ).
cnf(s3249,plain,
( ~ spl0_76
| ~ spl0_230
| ~ spl0_293 ),
inference(sat_conversion,[],[f38675]) ).
cnf(s3253,plain,
( ~ spl0_197
| ~ spl0_223
| spl0_356 ),
inference(rat,[],[s2795,s2821]) ).
cnf(s3309,plain,
( ~ spl0_245
| spl0_357
| spl0_360 ),
inference(rat,[],[s2680,s2707]) ).
cnf(s3363,plain,
( ~ spl0_108
| ~ spl0_233
| spl0_356 ),
inference(rat,[],[s2525,s2821]) ).
cnf(s3371,plain,
( ~ spl0_108
| ~ spl0_197
| spl0_207
| spl0_356 ),
inference(rat,[],[s2502,s2821]) ).
cnf(s3383,plain,
( ~ spl0_248
| spl0_356 ),
inference(rat,[],[s2383,s2707,s2821]) ).
cnf(s3403,plain,
( spl0_364
| spl0_398 ),
inference(rat,[],[s1609,s2821]) ).
cnf(s3410,plain,
( spl0_377
| spl0_389 ),
inference(rat,[],[s1523,s2024]) ).
cnf(s3411,plain,
( spl0_377
| spl0_389 ),
inference(rat,[],[s1521,s2707]) ).
cnf(s3418,plain,
( spl0_219
| ~ spl0_249
| spl0_319 ),
inference(rat,[],[s1383,s2024]) ).
cnf(s3423,plain,
( spl0_212
| spl0_354 ),
inference(rat,[],[s1352,s2024]) ).
cnf(s3428,plain,
( spl0_4
| spl0_15
| ~ spl0_38 ),
inference(rat,[],[s1155,s1192]) ).
cnf(s3438,plain,
( ~ spl0_47
| spl0_78
| ~ spl0_80 ),
inference(rat,[],[s1094,s1192]) ).
cnf(s3444,plain,
( ~ spl0_54
| ~ spl0_66
| ~ spl0_178 ),
inference(rat,[],[s1002,s1091]) ).
cnf(s3453,plain,
( ~ spl0_9
| spl0_12
| spl0_18 ),
inference(rat,[],[s872,s1192]) ).
cnf(s3458,plain,
( spl0_1
| spl0_13
| spl0_18
| spl0_245 ),
inference(rat,[],[s846,s1192]) ).
cnf(s3461,plain,
( spl0_18
| spl0_27 ),
inference(rat,[],[s830,s1192]) ).
cnf(s3479,plain,
( ~ spl0_9
| spl0_12
| ~ spl0_54
| spl0_249 ),
inference(rat,[],[s727,s1192]) ).
cnf(s3573,plain,
( ~ spl0_4
| spl0_13
| ~ spl0_18
| ~ spl0_55
| ~ spl0_214 ),
inference(rat,[],[s488,s784]) ).
cnf(s3576,plain,
( spl0_148
| spl0_210 ),
inference(rat,[],[s479,s1091]) ).
cnf(s3683,plain,
( spl0_87
| spl0_100 ),
inference(rat,[],[s173,s1192]) ).
cnf(s3707,plain,
( ~ spl0_66
| ~ spl0_28
| ~ spl0_159
| ~ spl0_9
| ~ spl0_4 ),
inference(rat,[],[s2547,s949,s1118,s1199,s644,s951,s3444,s1003,s122,s67,s65,s1091,s364,s318]) ).
cnf(s3708,plain,
( ~ spl0_248
| ~ spl0_12 ),
inference(rat,[],[s1941,s3071,s2221,s464,s3410,s1273,s1118,s2042,s1397,s2384,s3383,s898,s699,s318,s1091]) ).
cnf(s3709,plain,
( spl0_13
| ~ spl0_12
| ~ spl0_9
| ~ spl0_4
| ~ spl0_8 ),
inference(rat,[],[s20,s912,s3461,s3707,s748,s34,s1951,s65,s898,s3708]) ).
cnf(s3710,plain,
( ~ spl0_25
| ~ spl0_159
| ~ spl0_9
| ~ spl0_4 ),
inference(rat,[],[s1118,s1092,s2547,s949,s1199,s644,s3444,s1003,s912,s122,s67,s65,s1091,s364]) ).
cnf(s3712,plain,
( ~ spl0_344
| ~ spl0_238
| ~ spl0_12
| ~ spl0_4 ),
inference(rat,[],[s2207,s468,s1502,s2248,s1504,s1566,s2161,s1273,s2254,s1220,s2058,s364,s1091]) ).
cnf(s3713,plain,
( ~ spl0_202
| ~ spl0_387
| ~ spl0_151
| spl0_294 ),
inference(rat,[],[s1536,s2210]) ).
cnf(s3715,plain,
( ~ spl0_195
| ~ spl0_203
| ~ spl0_346
| ~ spl0_238 ),
inference(rat,[],[s1999,s465,s1777,s2042,s2869,s364]) ).
cnf(s3716,plain,
( ~ spl0_194
| ~ spl0_448
| ~ spl0_447
| spl0_148
| ~ spl0_111
| spl0_178
| ~ spl0_84
| ~ spl0_27
| ~ spl0_159 ),
inference(rat,[],[s1403,s1916,s2925,s2908,s1780,s1898]) ).
cnf(s3717,plain,
( spl0_233
| spl0_178
| spl0_78
| ~ spl0_12
| ~ spl0_9
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s463,s2267,s2158,s1777,s2042,s464,s3716,s2900,s3241,s3184,s1819,s466,s2926,s3712,s2895,s2903,s1118,s1865,s2440,s929,s1411,s1200,s1872,s67,s898,s3461,s44,s3709,s40,s894,s945,s318,s784,s364,s699]) ).
cnf(s3718,plain,
( ~ spl0_233
| spl0_78
| ~ spl0_26
| ~ spl0_12
| ~ spl0_54
| ~ spl0_9 ),
inference(rat,[],[s2036,s463,s3219,s1550,s1801,s2984,s1648,s1273,s3363,s2550,s927,s2852,s3683,s915,s898,s318,s1192,s1091,s364]) ).
cnf(s3719,plain,
( ~ spl0_356
| spl0_156
| ~ spl0_210
| ~ spl0_238
| ~ spl0_337 ),
inference(rat,[],[s463,s2043,s1801,s2194,s318]) ).
cnf(s3722,plain,
( ~ spl0_194
| ~ spl0_221
| spl0_356
| ~ spl0_346
| ~ spl0_151
| spl0_294
| spl0_148
| spl0_230
| ~ spl0_108
| ~ spl0_27
| ~ spl0_4 ),
inference(rat,[],[s3713,s468,s1502,s2260,s1902,s3371,s465,s1999,s2093,s3403,s2925,s1588,s1643,s1780,s480,s2895,s364,s1091,s318]) ).
cnf(s3723,plain,
( ~ spl0_195
| spl0_356
| ~ spl0_346
| ~ spl0_178
| ~ spl0_12
| ~ spl0_54
| ~ spl0_55
| ~ spl0_9 ),
inference(rat,[],[s1066,s1500,s3253,s3713,s465,s468,s1999,s3715,s2937,s1118,s1209,s898,s2221,s1375,s364,s699,s1091]) ).
cnf(s3724,plain,
( spl0_78
| ~ spl0_12
| ~ spl0_9
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s1331,s2093,s3090,s3403,s3722,s1588,s1643,s464,s3723,s1531,s1923,s3719,s1345,s1272,s2221,s480,s3712,s1118,s1375,s2052,s1209,s2974,s3717,s1199,s1200,s3718,s145,s2058,s122,s67,s65,s20,s3710,s898,s3461,s44,s3709,s40,s318,s784,s699,s1091]) ).
cnf(s3725,plain,
( ~ spl0_12
| ~ spl0_9
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s2852,s1261,s2989,s3724,s20,s3710,s3461,s44,s3709,s898,s40,s318,s364]) ).
cnf(s3726,plain,
( ~ spl0_9
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s2347,s2289,s466,s2254,s165,s1413,s1819,s1220,s3573,s669,s3418,s1611,s2384,s44,s3479,s728,s726,s3453,s3725,s65,s67,s122,s2058,s364,s784,s1091,s699]) ).
cnf(s3727,plain,
( ~ spl0_356
| ~ spl0_238
| ~ spl0_12 ),
inference(rat,[],[s3079,s464,s2300,s3410,s2042,s1397,s1273,s2895,s1118,s898,s318]) ).
cnf(s3728,plain,
( spl0_360
| ~ spl0_221
| ~ spl0_155
| spl0_78
| spl0_356 ),
inference(rat,[],[s463,s2158,s2267,s318,s784]) ).
cnf(s3729,plain,
( spl0_377
| ~ spl0_194
| ~ spl0_447
| spl0_162 ),
inference(rat,[],[s3079,s2300,s3410]) ).
cnf(s3730,plain,
( ~ spl0_360
| ~ spl0_238
| ~ spl0_12 ),
inference(rat,[],[s2283,s3729,s464,s1777,s1273,s2895,s1118,s898,s318]) ).
cnf(s3731,plain,
( spl0_178
| spl0_78
| spl0_233
| spl0_360
| spl0_356 ),
inference(rat,[],[s3728,s1411,s945,s364]) ).
cnf(s3732,plain,
( ~ spl0_27
| ~ spl0_216
| ~ spl0_371
| ~ spl0_192
| ~ spl0_210
| ~ spl0_84
| ~ spl0_197
| spl0_25
| spl0_162 ),
inference(rat,[],[s3241,s2857,s466,s2908,s2905,s3214,s1337,s2852,s2097,s2851,s1663,s2043,s1272,s20,s364,s318,s784,s2024]) ).
cnf(s3733,plain,
( ~ spl0_192
| ~ spl0_210
| spl0_152
| spl0_78
| spl0_233
| ~ spl0_197
| spl0_360
| spl0_294
| spl0_344
| spl0_162
| ~ spl0_238
| ~ spl0_4 ),
inference(rat,[],[s2097,s3180,s2985,s44,s3461,s3732,s3184,s1629,s468,s3713,s1502,s1902,s1613,s3227,s2221,s1266,s1220,s2058,s894,s1091,s1192,s699,s364]) ).
cnf(s3734,plain,
( spl0_78
| spl0_233
| spl0_355
| ~ spl0_238
| ~ spl0_12
| ~ spl0_4 ),
inference(rat,[],[s1337,s2905,s2852,s1272,s20,s2097,s3461,s3184,s2062,s1104,s3423,s2026,s3135,s466,s468,s2967,s2257,s3169,s463,s3733,s480,s1295,s2052,s3731,s37,s1005,s2221,s1273,s1266,s1118,s898,s1220,s2058,s465,s1999,s3730,s1345,s3712,s3727,s318,s364,s699]) ).
cnf(s3735,plain,
( ~ spl0_155
| spl0_360
| spl0_356
| ~ spl0_151
| spl0_294
| spl0_344
| ~ spl0_12 ),
inference(rat,[],[s1292,s1500,s1284,s3713,s466,s468,s2967,s2257,s3169,s463,s2158,s465,s1999,s1345,s364,s318]) ).
cnf(s3736,plain,
( ~ spl0_26
| spl0_76
| ~ spl0_78
| ~ spl0_8 ),
inference(rat,[],[s1261,s2852,s1951,s318,s364]) ).
cnf(s3737,plain,
( ~ spl0_78
| ~ spl0_178
| ~ spl0_197
| spl0_360
| spl0_356
| spl0_25
| ~ spl0_151
| spl0_294
| ~ spl0_4
| ~ spl0_8 ),
inference(rat,[],[s2257,s468,s463,s3713,s2043,s1502,s2952,s1902,s3183,s44,s3461,s20,s3736,s565,s1646,s160,s2989,s480,s2052,s364,s318,s1091,s2024]) ).
cnf(s3738,plain,
( ~ spl0_192
| ~ spl0_76
| spl0_156
| spl0_215
| ~ spl0_209
| ~ spl0_210 ),
inference(rat,[],[s3214,s2043,s2036]) ).
cnf(s3739,plain,
( ~ spl0_27
| spl0_215
| ~ spl0_209
| spl0_87
| ~ spl0_210
| ~ spl0_197
| spl0_25
| spl0_162 ),
inference(rat,[],[s1337,s2905,s2887,s466,s2967,s3169,s463,s3738,s2852,s1272,s20,s364,s318]) ).
cnf(s3740,plain,
( ~ spl0_238
| ~ spl0_12
| ~ spl0_4
| ~ spl0_8 ),
inference(rat,[],[s463,s2043,s2257,s565,s468,s160,s3713,s928,s1502,s138,s2952,s1902,s23,s3183,s34,s69,s44,s3461,s3739,s1008,s163,s1334,s3219,s175,s165,s3195,s1648,s915,s3122,s3734,s3737,s480,s2052,s945,s3735,s465,s1999,s3730,s3727,s1266,s1345,s1841,s2221,s1118,s3712,s1273,s1220,s3197,s2058,s898,s37,s1005,s318,s364,s1091,s2024,s1192,s699]) ).
cnf(s3741,plain,
( ~ spl0_192
| ~ spl0_151
| ~ spl0_389
| spl0_357 ),
inference(rat,[],[s1622,s1613]) ).
cnf(s3742,plain,
( spl0_344
| ~ spl0_195
| spl0_368
| ~ spl0_221
| ~ spl0_235
| spl0_178
| spl0_238 ),
inference(rat,[],[s1955,s465,s1315,s2869,s2260,s468,s2211,s1939,s1345,s364,s318]) ).
cnf(s3743,plain,
( ~ spl0_27
| ~ spl0_193
| ~ spl0_221
| ~ spl0_356
| ~ spl0_235
| spl0_178
| ~ spl0_12
| ~ spl0_4
| ~ spl0_8 ),
inference(rat,[],[s466,s2967,s2290,s3169,s2874,s465,s1104,s1995,s1945,s2851,s3423,s1566,s2161,s3742,s464,s1562,s1331,s2093,s2847,s20,s2251,s3740,s1513,s1403,s898,s2194,s2058,s2263,s364,s784,s2024,s318,s2821,s2707]) ).
cnf(s3744,plain,
( spl0_13
| spl0_78
| spl0_233
| spl0_178
| spl0_238 ),
inference(rat,[],[s2997,s1954,s2985,s1129,s318,s1192,s364]) ).
cnf(s3745,plain,
( spl0_78
| ~ spl0_356
| spl0_233
| spl0_178
| ~ spl0_12
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s2852,s2110,s3128,s2221,s2903,s3741,s2156,s2093,s463,s2847,s3743,s20,s3461,s44,s3744,s1411,s1129,s3740,s40,s945,s923,s3410,s1397,s1513,s1403,s898,s2194,s2058,s318,s364,s699,s2821,s2707]) ).
cnf(s3747,plain,
( ~ spl0_194
| ~ spl0_398
| ~ spl0_210
| spl0_230 ),
inference(rat,[],[s3134,s1643]) ).
cnf(s3748,plain,
( ~ spl0_203
| ~ spl0_195
| ~ spl0_294
| ~ spl0_389
| spl0_357 ),
inference(rat,[],[s1695,s1952,s465,s1502,s2869,s1628,s364,s1091]) ).
cnf(s3749,plain,
( ~ spl0_356
| spl0_233
| spl0_178
| ~ spl0_12
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s2161,s1345,s3423,s1704,s2293,s3135,s1624,s468,s3748,s464,s3747,s3403,s2093,s3309,s480,s2458,s2031,s2459,s23,s1954,s1751,s34,s69,s44,s3461,s20,s3736,s887,s2989,s3745,s2245,s39,s1513,s3410,s1403,s1397,s2194,s2058,s898,s37,s1005,s3740,s40,s945,s364,s318]) ).
cnf(s3750,plain,
( spl0_162
| spl0_294
| ~ spl0_193
| spl0_377
| ~ spl0_221
| ~ spl0_235
| spl0_178
| spl0_238
| ~ spl0_12 ),
inference(rat,[],[s1953,s2310,s465,s1315,s2869,s2260,s468,s3713,s1502,s1566,s3742,s464,s3079,s2221,s3410,s2263,s2300,s2895,s364,s318,s1091,s699]) ).
cnf(s3751,plain,
( spl0_294
| ~ spl0_193
| ~ spl0_27
| spl0_364
| spl0_377
| ~ spl0_221
| ~ spl0_235
| spl0_178
| spl0_238
| ~ spl0_12 ),
inference(rat,[],[s1276,s1266,s1237,s20,s2847,s1320,s2110,s3750,s2821,s2707]) ).
cnf(s3752,plain,
( spl0_78
| spl0_363
| spl0_356
| spl0_233
| spl0_178
| spl0_238
| ~ spl0_12
| ~ spl0_4 ),
inference(rat,[],[s1351,s3135,s1624,s2161,s468,s3742,s3748,s464,s3133,s480,s1276,s1825,s1237,s20,s2847,s2209,s2997,s3751,s2263,s463,s3461,s1894,s3410,s44,s2093,s2283,s3744,s1411,s1129,s3731,s923,s364,s318,s2821,s2707]) ).
cnf(s3753,plain,
( spl0_294
| ~ spl0_353
| spl0_165
| spl0_163
| spl0_368
| ~ spl0_195
| ~ spl0_78
| spl0_178
| spl0_238 ),
inference(rat,[],[s1955,s465,s1797,s2869,s3683,s468,s1261,s2210,s1954,s1502,s364,s318,s1091]) ).
cnf(s3754,plain,
( spl0_360
| ~ spl0_221
| spl0_26
| ~ spl0_78
| spl0_356
| ~ spl0_235
| spl0_178
| spl0_238
| ~ spl0_12
| ~ spl0_4 ),
inference(rat,[],[s1514,s1366,s3135,s20,s468,s3461,s3748,s44,s3410,s3183,s2185,s2209,s3753,s2050,s1315,s1537,s3423,s2947,s1566,s2161,s3118,s3742,s2263,s464,s463,s1562,s2158,s1331,s37,s1005,s945,s160,s2989,s364,s2024,s318]) ).
cnf(s3755,plain,
( spl0_294
| ~ spl0_193
| spl0_364
| spl0_377
| ~ spl0_221
| ~ spl0_235
| spl0_178
| spl0_238
| ~ spl0_12
| ~ spl0_4 ),
inference(rat,[],[s829,s44,s3751,s1954,s318]) ).
cnf(s3757,plain,
( ~ spl0_27
| ~ spl0_294
| ~ spl0_193
| ~ spl0_389
| ~ spl0_221
| spl0_26
| spl0_363
| ~ spl0_235
| spl0_178
| spl0_238
| ~ spl0_12
| ~ spl0_4 ),
inference(rat,[],[s3135,s1945,s3423,s468,s1566,s2161,s3748,s3742,s464,s3133,s1514,s2265,s1513,s20,s2263,s2209,s364,s318]) ).
cnf(s3758,plain,
( ~ spl0_221
| spl0_26
| ~ spl0_78
| spl0_363
| spl0_356
| ~ spl0_235
| spl0_178
| spl0_238
| ~ spl0_12
| ~ spl0_4 ),
inference(rat,[],[s3135,s1624,s3423,s468,s2161,s3748,s3742,s464,s3133,s480,s1750,s2031,s3461,s3757,s2209,s3755,s2263,s463,s1894,s3410,s2093,s2283,s3754,s364,s318]) ).
cnf(s3759,plain,
( ~ spl0_344
| ~ spl0_230
| ~ spl0_25
| ~ spl0_13
| ~ spl0_209
| ~ spl0_78
| spl0_215 ),
inference(rat,[],[s466,s2887,s1470,s2948,s1344,s3118,s364]) ).
cnf(s3760,plain,
( spl0_294
| ~ spl0_195
| ~ spl0_209
| spl0_345
| spl0_26
| ~ spl0_78
| spl0_356
| spl0_215
| spl0_178
| spl0_238
| ~ spl0_12
| ~ spl0_4 ),
inference(rat,[],[s463,s1514,s2157,s1365,s2283,s2221,s1999,s1359,s465,s1343,s2869,s1470,s468,s466,s2211,s2926,s1345,s3759,s1266,s20,s3461,s44,s1954,s2298,s945,s318,s699,s364]) ).
cnf(s3761,plain,
( spl0_360
| ~ spl0_294
| spl0_221
| spl0_26
| spl0_356
| ~ spl0_235
| ~ spl0_155
| ~ spl0_443
| ~ spl0_159
| ~ spl0_4 ),
inference(rat,[],[s1387,s1602,s1116,s2860,s20,s3105,s3461,s468,s44,s3748,s3183,s2209,s463,s2158,s2058,s3410,s2185,s464,s3087,s2350,s364,s2024,s318]) ).
cnf(s3762,plain,
( spl0_233
| spl0_178
| ~ spl0_12
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s1942,s2313,s467,s2317,s1787,s1292,s1602,s2860,s3105,s468,s3748,s2209,s463,s1894,s2093,s3761,s3410,s2185,s3760,s464,s3087,s3219,s2897,s3758,s3736,s2989,s3752,s2350,s2977,s3749,s1335,s923,s2058,s898,s2251,s3740,s40,s945,s364,s318,s1192]) ).
cnf(s3763,plain,
( ~ spl0_196
| spl0_345
| spl0_360
| ~ spl0_13
| ~ spl0_389
| spl0_357
| spl0_368
| ~ spl0_293
| ~ spl0_84
| ~ spl0_155 ),
inference(rat,[],[s466,s2926,s3241,s1840,s2324,s1500,s2879,s1952,s1946,s1695,s364]) ).
cnf(s3765,plain,
( ~ spl0_148
| ~ spl0_294
| ~ spl0_293
| spl0_25
| spl0_87 ),
inference(rat,[],[s20,s3461,s2852,s2031,s3128,s318,s364]) ).
cnf(s3766,plain,
( ~ spl0_202
| spl0_148
| ~ spl0_356
| ~ spl0_155
| spl0_238
| ~ spl0_4
| ~ spl0_8 ),
inference(rat,[],[s1995,s465,s3423,s1662,s2161,s2874,s1345,s1624,s3131,s1704,s2293,s2251,s2194,s2058,s480,s364]) ).
cnf(s3768,plain,
( ~ spl0_13
| ~ spl0_389
| spl0_357
| spl0_368
| ~ spl0_356
| spl0_78
| spl0_25
| spl0_87
| spl0_178
| spl0_238
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s2257,s465,s463,s468,s3763,s1593,s3766,s2903,s1331,s3128,s2093,s2852,s2847,s20,s3461,s44,s40,s1,s945,s894,s1129,s364,s318,s2821,s2707]) ).
cnf(s3769,plain,
( ~ spl0_356
| spl0_78
| spl0_178
| ~ spl0_12
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s1952,s1538,s465,s1502,s2177,s2257,s1628,s463,s468,s2043,s666,s3766,s480,s1417,s3765,s2762,s1954,s3768,s3410,s1403,s1397,s2194,s2984,s945,s1354,s1237,s3122,s2058,s915,s3762,s898,s1129,s3740,s40,s364,s1091,s318]) ).
cnf(s3770,plain,
( ~ spl0_203
| ~ spl0_195
| ~ spl0_76
| ~ spl0_27
| spl0_356
| ~ spl0_293
| ~ spl0_84
| ~ spl0_101
| ~ spl0_12
| ~ spl0_4 ),
inference(rat,[],[s3214,s1995,s1955,s1945,s1940,s3423,s1566,s2161,s1345,s1993,s465,s2279,s1315,s2869,s2177,s364,s318]) ).
cnf(s3771,plain,
( spl0_294
| spl0_356
| ~ spl0_293
| ~ spl0_84
| spl0_25
| ~ spl0_101
| spl0_87
| spl0_178
| ~ spl0_12
| ~ spl0_4
| ~ spl0_8 ),
inference(rat,[],[s1104,s2915,s2874,s3131,s468,s3770,s464,s3133,s3128,s2852,s20,s3461,s44,s1954,s2895,s898,s2977,s2251,s3740,s364,s318]) ).
cnf(s3772,plain,
( ~ spl0_192
| spl0_363
| spl0_356
| ~ spl0_155
| ~ spl0_4 ),
inference(rat,[],[s2093,s1894,s2158]) ).
cnf(s3773,plain,
( spl0_78
| spl0_178
| ~ spl0_12
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s829,s1750,s20,s3135,s2851,s3423,s1104,s2161,s2874,s1345,s1624,s3131,s1704,s2293,s468,s3748,s2209,s463,s3772,s3410,s2185,s464,s3133,s480,s3765,s3771,s2977,s3769,s1129,s894,s2251,s3740,s40,s945,s165,s1237,s3122,s2058,s915,s3762,s898,s784,s2024,s364,s318]) ).
cnf(s3774,plain,
( ~ spl0_356
| ~ spl0_245
| spl0_148
| spl0_230
| ~ spl0_294
| ~ spl0_155
| ~ spl0_12
| ~ spl0_4
| ~ spl0_8 ),
inference(rat,[],[s3747,s464,s3403,s3748,s2093,s468,s3309,s3410,s3766,s1403,s1397,s898,s3740,s480,s318,s364]) ).
cnf(s3775,plain,
( spl0_178
| ~ spl0_12
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s1351,s2161,s3135,s1345,s1624,s1704,s2293,s468,s3748,s3410,s2185,s2209,s464,s463,s3133,s3772,s2977,s3774,s480,s2458,s2031,s23,s2459,s1954,s34,s69,s1751,s44,s3461,s20,s3736,s887,s2989,s3773,s2245,s39,s1237,s915,s3122,s3762,s945,s2058,s898,s37,s1005,s2251,s3740,s40,s364,s318]) ).
cnf(s3776,plain,
( ~ spl0_356
| ~ spl0_178
| ~ spl0_12 ),
inference(rat,[],[s3741,s463,s3410,s1403,s1525,s1397,s898,s2221,s1375,s318,s699]) ).
cnf(s3777,plain,
( ~ spl0_203
| ~ spl0_195
| spl0_356
| ~ spl0_178 ),
inference(rat,[],[s1999,s1345,s465,s3170,s2869,s2968,s2937,s364]) ).
cnf(s3778,plain,
( ~ spl0_12
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s2026,s466,s1104,s1474,s2874,s3131,s468,s3777,s464,s3133,s2977,s3776,s2221,s1295,s1375,s2052,s3775,s2251,s3740,s37,s898,s1005,s40,s364,s318,s699]) ).
cnf(s3779,plain,
( spl0_78
| ~ spl0_238
| ~ spl0_356
| spl0_178
| spl0_13
| spl0_12
| ~ spl0_4
| ~ spl0_8 ),
inference(rat,[],[s1071,s1266,s20,s3461,s69,s1008,s157,s160,s3128,s2857,s2908,s3195,s2984,s3122,s1411,s2190,s894,s1739,s1951,s2136,s1220,s1898,s464,s2042,s57,s71,s1764,s480,s3719,s1354,s2058,s2111,s18,s364,s1192,s318]) ).
cnf(s3780,plain,
( ~ spl0_203
| ~ spl0_238
| ~ spl0_162
| spl0_13
| spl0_12 ),
inference(rat,[],[s2880,s2259,s1504,s1091]) ).
cnf(s3781,plain,
( spl0_294
| ~ spl0_347
| spl0_348
| ~ spl0_448
| ~ spl0_95
| ~ spl0_78
| spl0_230
| ~ spl0_162
| ~ spl0_155
| ~ spl0_28
| spl0_26 ),
inference(rat,[],[s2345,s1340,s2290,s2883,s2062,s466,s3461,s1359,s20,s2920,s1266,s2895,s364,s318]) ).
cnf(s3782,plain,
( ~ spl0_221
| ~ spl0_25
| ~ spl0_148
| ~ spl0_162 ),
inference(rat,[],[s1237,s1825,s2110]) ).
cnf(s3783,plain,
( ~ spl0_238
| ~ spl0_356
| spl0_178
| spl0_13
| spl0_12
| ~ spl0_4
| ~ spl0_8 ),
inference(rat,[],[s2880,s2046,s1682,s1312,s1237,s3103,s3122,s3116,s2897,s3219,s3782,s20,s3461,s2031,s3781,s2294,s468,s3780,s2154,s2156,s1331,s2093,s1894,s2916,s2900,s160,s1605,s1761,s2989,s3779,s480,s463,s3719,s1801,s1220,s2058,s1951,s34,s945,s1354,s2111,s1091,s1192,s364,s318]) ).
cnf(s3784,plain,
( spl0_78
| spl0_238
| ~ spl0_356
| spl0_178
| spl0_13
| ~ spl0_4
| ~ spl0_8 ),
inference(rat,[],[s1955,s1315,s465,s1797,s2177,s2257,s1628,s463,s468,s2043,s3766,s480,s3765,s1237,s3683,s2984,s3122,s2997,s3744,s1129,s945,s1354,s2194,s2058,s1954,s318,s364]) ).
cnf(s3785,plain,
( ~ spl0_203
| ~ spl0_356
| spl0_178
| spl0_13
| spl0_12
| ~ spl0_4
| ~ spl0_8 ),
inference(rat,[],[s20,s3461,s1343,s2031,s1359,s1356,s480,s466,s2043,s2290,s463,s2874,s2257,s1662,s465,s1995,s2050,s3423,s2947,s2161,s3118,s2880,s1628,s1951,s1354,s2111,s2194,s2058,s2251,s1954,s160,s2989,s3784,s3783,s364,s318,s1091]) ).
cnf(s3786,plain,
( ~ spl0_356
| spl0_178
| spl0_13
| spl0_12
| ~ spl0_4
| ~ spl0_8 ),
inference(rat,[],[s1533,s923,s1530,s1335,s1551,s1331,s2036,s1562,s463,s3219,s464,s2209,s3782,s1366,s1323,s20,s2196,s3461,s2031,s3766,s468,s3785,s1605,s3784,s1954,s3783,s2194,s2058,s1951,s945,s2111,s318,s1192,s364]) ).
cnf(s3787,plain,
( spl0_78
| ~ spl0_238
| spl0_356
| spl0_178
| spl0_13
| spl0_12
| ~ spl0_4 ),
inference(rat,[],[s3576,s1356,s3747,s466,s464,s3403,s2883,s1777,s2093,s1602,s3183,s2347,s1320,s165,s463,s3122,s1553,s3105,s1411,s1408,s2190,s894,s945,s2254,s1220,s2058,s468,s3780,s2111,s364,s318,s2024,s1192]) ).
cnf(s3788,plain,
( spl0_148
| ~ spl0_448
| ~ spl0_95
| ~ spl0_78
| ~ spl0_202
| ~ spl0_162
| ~ spl0_155
| spl0_13
| spl0_1 ),
inference(rat,[],[s1359,s466,s3180,s2926,s3118,s1340,s2948,s2345,s3131,s2903,s364,s1091]) ).
cnf(s3789,plain,
( spl0_294
| ~ spl0_31
| ~ spl0_23
| ~ spl0_448
| ~ spl0_95
| spl0_296
| ~ spl0_347
| spl0_230
| ~ spl0_162
| ~ spl0_28
| spl0_26
| ~ spl0_4 ),
inference(rat,[],[s175,s2097,s163,s165,s2345,s1008,s1024,s2290,s2062,s69,s466,s3461,s1359,s20,s2920,s1266,s2895,s364,s318]) ).
cnf(s3790,plain,
( ~ spl0_238
| spl0_178
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s1807,s1237,s3423,s2046,s3135,s2880,s1841,s3118,s2947,s1312,s3103,s3116,s3219,s3782,s20,s3461,s2031,s3789,s57,s37,s71,s1764,s3788,s2900,s160,s2134,s1761,s2989,s3787,s2294,s468,s3780,s1220,s3197,s2058,s18,s1951,s34,s945,s2111,s3786,s15,s6,s3726,s3778,s40,s1091,s1192,s364,s318]) ).
cnf(s3791,plain,
( spl0_78
| spl0_357
| spl0_363
| spl0_238
| spl0_178
| spl0_13
| spl0_12
| ~ spl0_337
| ~ spl0_8 ),
inference(rat,[],[s1602,s2874,s2347,s3131,s3105,s468,s3748,s3410,s2950,s2254,s464,s1750,s3133,s3461,s3765,s20,s1237,s165,s3122,s2997,s3744,s1129,s2190,s1951,s2111,s2251,s1954,s364,s318,s1192]) ).
cnf(s3792,plain,
( ~ spl0_203
| ~ spl0_398
| spl0_357
| ~ spl0_193
| ~ spl0_294
| spl0_13
| spl0_12
| ~ spl0_4 ),
inference(rat,[],[s1644,s37,s1995,s1537,s3423,s1953,s1950,s2161,s2309,s1952,s465,s2880,s1502,s2257,s1628,s364,s1091]) ).
cnf(s3793,plain,
( spl0_178
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s20,s1513,s3461,s1514,s1750,s3135,s2050,s3423,s2947,s2161,s3118,s1345,s2211,s468,s3792,s160,s2989,s3791,s3403,s2093,s3183,s1320,s463,s3772,s2977,s1954,s2251,s3790,s3786,s2111,s945,s2058,s1951,s15,s3778,s6,s3726,s40,s364,s2024,s318]) ).
cnf(s3794,plain,
( ~ spl0_203
| spl0_152
| ~ spl0_192
| ~ spl0_156
| spl0_378
| ~ spl0_238
| spl0_13
| spl0_12
| ~ spl0_8 ),
inference(rat,[],[s1995,s3423,s465,s2062,s1902,s3461,s1613,s1272,s2221,s2880,s1841,s3180,s3780,s1504,s1629,s364,s699,s1091]) ).
cnf(s3795,plain,
( ~ spl0_87
| ~ spl0_84
| ~ spl0_294
| ~ spl0_357
| ~ spl0_371 ),
inference(rat,[],[s2908,s2900,s2109,s2997,s364]) ).
cnf(s3796,plain,
( spl0_78
| ~ spl0_294
| ~ spl0_357
| ~ spl0_25
| ~ spl0_371
| spl0_13
| ~ spl0_337 ),
inference(rat,[],[s3122,s1237,s2985,s3795,s894,s1192]) ).
cnf(s3797,plain,
( ~ spl0_356
| ~ spl0_238
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s565,s160,s1646,s2989,s3796,s1266,s3309,s20,s3458,s3461,s1625,s2880,s2161,s3423,s3135,s1624,s468,s3794,s1295,s37,s1944,s3227,s2877,s2093,s3403,s1612,s463,s3719,s1525,s2194,s2058,s1951,s15,s3778,s6,s3726,s40,s2974,s480,s2052,s3793,s1091,s364,s2024,s318]) ).
cnf(s3798,plain,
( ~ spl0_203
| spl0_356
| ~ spl0_238
| ~ spl0_178
| spl0_13
| spl0_12
| ~ spl0_4 ),
inference(rat,[],[s465,s1902,s1999,s3183,s2093,s3403,s3747,s464,s2880,s1345,s3777,s1504,s2974,s480,s2052,s364,s2024,s318,s1091]) ).
cnf(s3799,plain,
( ~ spl0_360
| ~ spl0_238
| ~ spl0_210
| spl0_230
| ~ spl0_4 ),
inference(rat,[],[s3747,s464,s3403,s1777,s2093,s318]) ).
cnf(s3800,plain,
( ~ spl0_238
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s465,s1902,s1999,s3183,s3799,s2880,s1345,s2161,s3423,s3135,s1624,s468,s3798,s3797,s15,s3778,s6,s3726,s40,s2974,s480,s2052,s3793,s364,s2024,s1091]) ).
cnf(s3801,plain,
( ~ spl0_203
| ~ spl0_371
| ~ spl0_156
| spl0_378
| ~ spl0_178
| spl0_13
| spl0_12
| ~ spl0_8 ),
inference(rat,[],[s1995,s3423,s465,s1625,s1902,s3461,s2906,s1272,s2895,s2259,s1628,s2880,s1841,s3170,s2968,s34,s364,s318,s1091]) ).
cnf(s3802,plain,
( ~ spl0_356
| spl0_238
| ~ spl0_178
| spl0_13
| spl0_12
| ~ spl0_4
| ~ spl0_8 ),
inference(rat,[],[s1949,s1345,s465,s2161,s1662,s3423,s2874,s3135,s1624,s3131,s2715,s468,s3801,s3227,s2093,s3403,s1612,s2043,s463,s1525,s2194,s2058,s2974,s480,s2052,s2251,s364,s318]) ).
cnf(s3803,plain,
( ~ spl0_4
| spl0_1 ),
inference(rat,[],[s1625,s3461,s1500,s20,s3713,s3423,s1266,s2221,s3135,s1624,s2185,s2950,s468,s2877,s3777,s2937,s464,s3133,s2977,s3802,s2251,s3800,s480,s2052,s2974,s3793,s1951,s15,s3778,s6,s3726,s40,s699,s364,s2024,s318]) ).
cnf(s3804,plain,
( ~ spl0_238
| ~ spl0_12
| ~ spl0_155 ),
inference(rat,[],[s3713,s468,s1502,s1504,s1566,s3735,s2221,s1118,s3730,s3727,s1273,s898,s364,s1091,s699]) ).
cnf(s3805,plain,
( ~ spl0_203
| ~ spl0_356
| ~ spl0_12
| spl0_178
| spl0_1 ),
inference(rat,[],[s20,s3461,s1343,s2851,s3068,s1470,s1359,s2221,s466,s3741,s2290,s463,s2874,s2257,s1662,s465,s1953,s2309,s1502,s1566,s3186,s1304,s40,s3073,s2251,s3006,s3804,s945,s3803,s1403,s898,s3410,s1397,s784,s2024,s1091,s699,s364,s318]) ).
cnf(s3806,plain,
( spl0_78
| spl0_238
| spl0_178
| spl0_1 ),
inference(rat,[],[s3249,s1129,s2057,s3006,s3803,s364]) ).
cnf(s3807,plain,
( ~ spl0_356
| ~ spl0_13
| ~ spl0_12
| spl0_178
| spl0_1 ),
inference(rat,[],[s2290,s466,s1663,s1470,s1513,s1344,s20,s2874,s3461,s3736,s1662,s1753,s3249,s465,s1703,s3103,s1953,s1538,s1315,s2309,s2947,s1797,s1502,s3118,s1566,s1345,s2211,s468,s3805,s1403,s1397,s40,s898,s2251,s3006,s3803,s666,s1257,s3683,s1261,s3806,s3804,s945,s364,s318,s1091]) ).
cnf(s3808,plain,
( spl0_360
| spl0_356
| ~ spl0_230
| ~ spl0_155
| spl0_4 ),
inference(rat,[],[s1514,s463,s3007,s2158,s318]) ).
cnf(s3809,plain,
( ~ spl0_192
| spl0_294
| ~ spl0_344
| ~ spl0_13
| ~ spl0_12
| spl0_178
| spl0_1 ),
inference(rat,[],[s3069,s3736,s3087,s20,s2350,s1344,s923,s1786,s1533,s467,s1798,s1799,s3461,s3071,s3068,s464,s2221,s1839,s2157,s1894,s3073,s666,s1257,s3806,s2298,s2977,s40,s2251,s3410,s2283,s3808,s3807,s3006,s3804,s945,s3803,s1502,s1566,s1091,s364,s318,s699]) ).
cnf(s3810,plain,
( ~ spl0_193
| ~ spl0_387
| ~ spl0_354
| ~ spl0_203
| spl0_377
| ~ spl0_230 ),
inference(rat,[],[s1953,s2308,s465,s1514,s2257,s364]) ).
cnf(s3811,plain,
( ~ spl0_208
| ~ spl0_162
| spl0_212
| ~ spl0_443
| ~ spl0_159
| ~ spl0_8 ),
inference(rat,[],[s2290,s2874,s466,s1104,s1359,s364]) ).
cnf(s3812,plain,
( ~ spl0_203
| ~ spl0_13
| ~ spl0_12
| spl0_178
| spl0_1 ),
inference(rat,[],[s467,s1786,s1942,s1344,s2314,s20,s2321,s2851,s3811,s3461,s1753,s2221,s3809,s2157,s1894,s463,s3810,s1502,s1566,s3186,s3423,s1304,s898,s2298,s2977,s40,s2251,s3410,s2283,s3808,s3807,s3006,s3804,s945,s3803,s364,s784,s2024,s699,s318,s1091]) ).
cnf(s3813,plain,
( ~ spl0_13
| ~ spl0_12
| spl0_178
| spl0_1 ),
inference(rat,[],[s1333,s3759,s466,s3219,s1470,s1276,s1344,s1255,s20,s3461,s3736,s1753,s3249,s1703,s3103,s1538,s1315,s2947,s1797,s1502,s3118,s1566,s1345,s2211,s468,s3812,s3683,s1261,s40,s3006,s3803,s666,s1257,s3806,s3804,s945,s364,s1192,s318,s1091]) ).
cnf(s3814,plain,
( ~ spl0_12
| spl0_178
| spl0_1 ),
inference(rat,[],[s1753,s1970,s1954,s3813,s3804,s3803,s945,s318]) ).
cnf(s3815,plain,
( ~ spl0_203
| spl0_294
| ~ spl0_238
| spl0_178
| spl0_1 ),
inference(rat,[],[s3071,s1799,s3410,s1502,s467,s1944,s1710,s1786,s37,s3403,s39,s3747,s1266,s480,s464,s1476,s2269,s3715,s466,s3186,s1345,s1284,s3086,s1504,s1629,s945,s3238,s3814,s4,s3803,s1091,s364,s318]) ).
cnf(s3817,plain,
( spl0_233
| spl0_221
| ~ spl0_192
| ~ spl0_356
| spl0_178 ),
inference(rat,[],[s1327,s1605,s1335,s1411,s923,s3219,s364,s1192]) ).
cnf(s3818,plain,
( ~ spl0_356
| ~ spl0_159
| ~ spl0_238
| spl0_152
| spl0_42
| spl0_178
| ~ spl0_44 ),
inference(rat,[],[s1530,s1645,s1551,s1237,s2036,s915,s2984,s3817,s3219,s3782,s1513,s39,s37,s1764,s1780,s2925,s3461,s3068,s2221,s1613,s463,s464,s1403,s1801,s2042,s2895,s1118,s1192,s1091,s699,s318]) ).
cnf(s3820,plain,
( spl0_344
| ~ spl0_15
| ~ spl0_13
| ~ spl0_238
| spl0_178
| spl0_1 ),
inference(rat,[],[s1764,s1780,s3729,s464,s2925,s3247,s1777,s3461,s2463,s1902,s1625,s465,s2716,s1993,s2214,s3186,s1345,s2125,s2895,s2293,s468,s3815,s1118,s945,s3818,s1450,s1834,s18,s3238,s3814,s4,s3073,s3803,s318,s364]) ).
cnf(s3821,plain,
( ~ spl0_15
| ~ spl0_13
| ~ spl0_238
| spl0_178
| spl0_1 ),
inference(rat,[],[s2883,s466,s1104,s1359,s2915,s3131,s1286,s3461,s1764,s3068,s2221,s3713,s1502,s1840,s3820,s3073,s4,s3803,s945,s2895,s468,s3815,s1118,s1450,s364,s1091,s699,s318]) ).
cnf(s3822,plain,
( ~ spl0_13
| ~ spl0_238
| spl0_178
| spl0_1 ),
inference(rat,[],[s1798,s1645,s666,s1255,s1877,s894,s1408,s3782,s1286,s1553,s463,s3071,s1514,s3729,s3410,s464,s1365,s3247,s1777,s3808,s1266,s39,s37,s3821,s3818,s2895,s1118,s1450,s3073,s945,s3238,s4,s3803,s1834,s18,s3814,s364,s318]) ).
cnf(s3823,plain,
( spl0_13
| spl0_178
| spl0_1 ),
inference(rat,[],[s3068,s2111,s1970,s3073,s3803,s3814,s1091,s318]) ).
cnf(s3824,plain,
( spl0_344
| spl0_178
| spl0_1 ),
inference(rat,[],[s468,s1304,s2211,s3186,s1345,s3803,s3822,s3823,s364]) ).
cnf(s3825,plain,
( spl0_357
| ~ spl0_203
| ~ spl0_151
| spl0_165
| ~ spl0_387
| spl0_152 ),
inference(rat,[],[s2257,s465,s463,s1952,s1613,s364,s318]) ).
cnf(s3826,plain,
( ~ spl0_15
| spl0_165
| ~ spl0_387
| spl0_238
| ~ spl0_13
| spl0_152
| spl0_178
| spl0_4 ),
inference(rat,[],[s463,s3810,s2157,s3247,s3808,s2298,s1403,s3825,s3423,s1304,s468,s3713,s2221,s1545,s2113,s945,s1450,s3006,s318,s364,s699]) ).
cnf(s3827,plain,
( spl0_178
| spl0_1 ),
inference(rat,[],[s1333,s3759,s466,s3219,s1470,s1276,s1344,s1255,s39,s37,s3826,s1538,s1315,s2947,s1502,s3118,s1840,s3824,s666,s1877,s3806,s3006,s3822,s3823,s1834,s3238,s18,s3814,s4,s3803,s364,s1192,s318,s1091]) ).
cnf(s3828,plain,
( spl0_344
| spl0_360
| spl0_356
| spl0_1 ),
inference(rat,[],[s465,s1663,s1999,s3186,s1345,s3007,s3803,s364]) ).
cnf(s3829,plain,
( ~ spl0_12
| ~ spl0_13
| ~ spl0_238
| spl0_1 ),
inference(rat,[],[s3713,s468,s1502,s1504,s1566,s3828,s3730,s3776,s1118,s1450,s2221,s1990,s3827,s364,s1091,s699]) ).
cnf(s3830,plain,
( spl0_78
| ~ spl0_378
| ~ spl0_230
| ~ spl0_371
| spl0_1 ),
inference(rat,[],[s2908,s2900,s3214,s3249,s2057,s894,s3803,s364]) ).
cnf(s3831,plain,
( ~ spl0_78
| ~ spl0_152
| ~ spl0_13
| ~ spl0_178 ),
inference(rat,[],[s1294,s666,s1646,s1877,s364]) ).
cnf(s3832,plain,
( spl0_364
| ~ spl0_76
| ~ spl0_367
| ~ spl0_152
| ~ spl0_194
| ~ spl0_192
| spl0_357
| ~ spl0_447
| ~ spl0_3 ),
inference(rat,[],[s666,s661,s1294,s3461,s1865,s2925,s3089,s1894,s3403,s364]) ).
cnf(s3833,plain,
( ~ spl0_356
| ~ spl0_13
| ~ spl0_238
| spl0_1 ),
inference(rat,[],[s3830,s1513,s1264,s39,s37,s1944,s3832,s2057,s3831,s3227,s1331,s3247,s3729,s1613,s464,s463,s1403,s2042,s1525,s2,s2221,s1990,s3827,s2895,s1118,s1450,s3238,s3829,s4,s3803,s318,s699]) ).
cnf(s3834,plain,
( ~ spl0_378
| ~ spl0_192
| ~ spl0_15
| ~ spl0_151 ),
inference(rat,[],[s3741,s3410,s1468,s1644]) ).
cnf(s3835,plain,
( ~ spl0_360
| spl0_162
| ~ spl0_13
| ~ spl0_238 ),
inference(rat,[],[s3729,s464,s3247,s1777,s2895,s1118,s1450,s318]) ).
cnf(s3836,plain,
( ~ spl0_13
| ~ spl0_238
| spl0_1 ),
inference(rat,[],[s3713,s1502,s468,s1840,s1504,s3828,s3835,s3833,s2221,s1118,s1990,s1450,s3827,s1091,s364,s699]) ).
cnf(s3837,plain,
( spl0_12
| ~ spl0_238
| spl0_1 ),
inference(rat,[],[s1625,s2880,s3186,s3118,s2947,s1312,s3103,s3116,s3219,s468,s1646,s1761,s2272,s2271,s60,s758,s2929,s2123,s29,s3827,s1970,s3836,s3803,s1091,s1192,s364,s784]) ).
cnf(s3838,plain,
( ~ spl0_238
| spl0_1 ),
inference(rat,[],[s2952,s3007,s3183,s3730,s3776,s3837,s1970,s3836,s3803,s3827,s2024]) ).
cnf(s3839,plain,
( ~ spl0_15
| spl0_360
| ~ spl0_377
| ~ spl0_192
| ~ spl0_151
| spl0_1 ),
inference(rat,[],[s2465,s480,s464,s2043,s1570,s1612,s1775,s3403,s1944,s3834,s2125,s4,s3803,s3838,s1331,s318]) ).
cnf(s3840,plain,
( ~ spl0_356
| ~ spl0_13
| spl0_1 ),
inference(rat,[],[s3830,s1513,s1264,s39,s37,s3839,s3227,s3247,s3831,s3410,s1613,s3741,s3238,s463,s1403,s3776,s1525,s4,s3803,s1450,s2221,s1990,s3827,s318,s699]) ).
cnf(s3841,plain,
( spl0_78
| ~ spl0_371
| ~ spl0_148
| ~ spl0_378
| spl0_1 ),
inference(rat,[],[s2900,s2908,s3128,s3214,s2057,s894,s3803,s364]) ).
cnf(s3842,plain,
( spl0_360
| ~ spl0_13
| spl0_1 ),
inference(rat,[],[s1550,s2887,s2948,s3683,s3219,s3118,s1261,s1646,s3841,s3227,s463,s2265,s3131,s2874,s1104,s2026,s1429,s466,s468,s2967,s2968,s1840,s3170,s3828,s3007,s40,s3803,s2251,s3838,s1450,s2221,s1990,s3827,s3840,s1192,s318,s364,s699]) ).
cnf(s3843,plain,
( ~ spl0_76
| ~ spl0_388
| ~ spl0_148
| ~ spl0_194
| ~ spl0_360
| spl0_356
| ~ spl0_443 ),
inference(rat,[],[s923,s1533,s2350,s2301,s3087,s2900,s1865,s3128,s364]) ).
cnf(s3844,plain,
( ~ spl0_13
| spl0_1 ),
inference(rat,[],[s1645,s1365,s1255,s2301,s20,s2900,s3736,s3139,s3142,s3843,s3461,s2031,s2882,s3079,s1780,s3729,s3410,s464,s3247,s2937,s3842,s2977,s3840,s1990,s40,s3073,s3803,s3827,s2251,s3838,s364,s318]) ).
cnf(s3845,plain,
( spl0_12
| spl0_1 ),
inference(rat,[],[s1625,s2880,s3186,s3118,s2947,s1312,s3103,s3116,s3219,s468,s1646,s3139,s2272,s2271,s77,s2929,s2123,s3827,s1970,s3844,s3803,s1091,s1192,s364,s784]) ).
cnf(s3846,plain,
( spl0_360
| spl0_1 ),
inference(rat,[],[s2952,s3007,s3183,s1970,s3844,s3803,s3776,s3845,s3827,s2024]) ).
cnf(s3847,plain,
spl0_1,
inference(rat,[],[s2031,s2882,s1780,s3729,s464,s2283,s2937,s3846,s2977,s3776,s1375,s3845,s1970,s3844,s2251,s3838,s3827,s3803,s40,s318]) ).
cnf(s3848,plain,
spl0_337,
inference(rat,[],[s1219,s3847]) ).
cnf(s3849,plain,
( ~ spl0_356
| ~ spl0_159 ),
inference(rat,[],[s20,s1513,s2847,s1403,s2194,s2152,s3461,s1879,s2821,s2707,s3848,s3847]) ).
cnf(s3850,plain,
( ~ spl0_233
| ~ spl0_26
| ~ spl0_159 ),
inference(rat,[],[s2852,s915,s2131,s318,s364,s3847]) ).
cnf(s3851,plain,
( ~ spl0_26
| spl0_360
| spl0_178
| ~ spl0_13 ),
inference(rat,[],[s2852,s1261,s1265,s3731,s3850,s3849,s1450,s318,s364,s3847]) ).
cnf(s3852,plain,
( ~ spl0_238
| ~ spl0_25
| ~ spl0_159 ),
inference(rat,[],[s1266,s1118,s1220,s3848]) ).
cnf(s3853,plain,
( ~ spl0_230
| spl0_215
| ~ spl0_78
| spl0_233
| ~ spl0_25
| spl0_360
| ~ spl0_155
| ~ spl0_13 ),
inference(rat,[],[s3169,s465,s2967,s1999,s466,s1345,s2926,s3759,s2897,s3219,s1276,s463,s2158,s3849,s1450,s1255,s364,s1192,s318]) ).
cnf(s3854,plain,
( spl0_360
| ~ spl0_4
| spl0_178
| ~ spl0_13 ),
inference(rat,[],[s3135,s1945,s3423,s468,s1840,s2161,s3748,s3742,s3410,s2263,s2185,s3761,s1708,s1266,s3853,s464,s1562,s2251,s3852,s1335,s3731,s923,s1003,s912,s20,s3851,s463,s2158,s1331,s3461,s1879,s3849,s1450,s945,s364,s318,s3847]) ).
cnf(s3855,plain,
( ~ spl0_238
| ~ spl0_360
| ~ spl0_4 ),
inference(rat,[],[s3576,s3799,s1220,s2227,s3848,s3847]) ).
cnf(s3856,plain,
( ~ spl0_192
| spl0_378
| ~ spl0_221
| ~ spl0_293
| ~ spl0_26
| ~ spl0_398
| spl0_377
| spl0_376 ),
inference(rat,[],[s3128,s2852,s480,s2110,s2043,s2221,s1612,s2157,s318,s364,s699]) ).
cnf(s3857,plain,
( spl0_378
| spl0_230
| spl0_78
| ~ spl0_26
| ~ spl0_4
| spl0_178
| ~ spl0_13 ),
inference(rat,[],[s2869,s468,s465,s2207,s1995,s1945,s1502,s2248,s3423,s1840,s2161,s3742,s2263,s1320,s463,s3856,s2298,s3849,s945,s2847,s923,s1129,s3855,s1411,s3850,s2254,s464,s3134,s3403,s2093,s1938,s3247,s3854,s3461,s1879,s1450,s364,s1091,s318,s3847,s2707,s2821]) ).
cnf(s3858,plain,
( ~ spl0_162
| ~ spl0_378
| spl0_230
| ~ spl0_221
| ~ spl0_26
| ~ spl0_4
| spl0_178
| ~ spl0_13 ),
inference(rat,[],[s2260,s2289,s468,s2860,s466,s3135,s1104,s1359,s1945,s2851,s3423,s1840,s2161,s3742,s3214,s2852,s2110,s2251,s3855,s923,s3850,s464,s3134,s3403,s2093,s1938,s3247,s3854,s3461,s1879,s1450,s364,s784,s2024,s318,s3847]) ).
cnf(s3859,plain,
( spl0_230
| spl0_78
| ~ spl0_26
| ~ spl0_4
| spl0_178
| ~ spl0_13 ),
inference(rat,[],[s2310,s1953,s1315,s465,s2260,s2257,s468,s2207,s1502,s2248,s1840,s2161,s3742,s2263,s463,s2157,s2221,s3858,s3857,s464,s3134,s2254,s2298,s3849,s945,s3403,s2093,s1938,s3247,s3461,s1879,s3855,s3854,s923,s1411,s3850,s1450,s318,s364,s1091,s699,s3847]) ).
cnf(s3860,plain,
( spl0_78
| ~ spl0_26
| ~ spl0_4
| spl0_178
| ~ spl0_13 ),
inference(rat,[],[s468,s3713,s3810,s1502,s3423,s1840,s2161,s3742,s463,s464,s2157,s3729,s2221,s2895,s2109,s2110,s2997,s2852,s3249,s3859,s1411,s1129,s2298,s3849,s945,s3247,s3855,s2847,s2093,s3854,s923,s3850,s1450,s364,s1091,s318,s699,s2707,s2821]) ).
cnf(s3861,plain,
( ~ spl0_26
| ~ spl0_4
| ~ spl0_13
| spl0_178 ),
inference(rat,[],[s2852,s1261,s1265,s3860,s3847,s364,s318]) ).
cnf(s3862,plain,
( spl0_230
| spl0_78
| ~ spl0_4
| spl0_178
| ~ spl0_13 ),
inference(rat,[],[s468,s3748,s3135,s2209,s1945,s3423,s463,s1840,s2161,s1547,s3742,s1424,s1645,s464,s1071,s3134,s1266,s3403,s2093,s3410,s1938,s3247,s1365,s2350,s923,s3849,s2251,s1129,s3855,s3854,s1411,s1003,s912,s20,s3861,s3461,s1879,s1450,s364,s318,s3847]) ).
cnf(s3863,plain,
( spl0_78
| ~ spl0_4
| spl0_178
| ~ spl0_13 ),
inference(rat,[],[s2221,s2157,s2110,s463,s1237,s1514,s1276,s3862,s1411,s2298,s3849,s945,s3247,s1365,s3854,s1003,s912,s20,s3861,s3461,s1879,s1450,s699,s318,s364,s3847]) ).
cnf(s3864,plain,
( ~ spl0_4
| spl0_178
| ~ spl0_13 ),
inference(rat,[],[s1351,s2161,s3135,s1345,s1624,s2211,s468,s3748,s464,s480,s3134,s1266,s1708,s2265,s1514,s463,s1547,s1645,s1255,s3863,s2350,s923,s1003,s1365,s912,s20,s3861,s2251,s3855,s1938,s3410,s3403,s3247,s2093,s3854,s3461,s1879,s3849,s1450,s364,s318,s3847]) ).
cnf(s3865,plain,
( ~ spl0_26
| spl0_78
| spl0_178
| ~ spl0_13 ),
inference(rat,[],[s464,s1777,s3747,s3403,s3006,s480,s2972,s1276,s1825,s2936,s2121,s1411,s3851,s3850,s1450,s3864,s318,s3847,s364]) ).
cnf(s3866,plain,
( spl0_78
| spl0_178
| ~ spl0_13 ),
inference(rat,[],[s3782,s2221,s1286,s1408,s2157,s1553,s463,s1514,s1365,s3247,s3808,s3006,s3852,s20,s3865,s894,s3461,s1879,s2298,s3849,s1450,s945,s4,s3864,s699,s318,s3847]) ).
cnf(s3867,plain,
( spl0_178
| ~ spl0_13 ),
inference(rat,[],[s1547,s463,s1645,s1514,s2350,s1365,s923,s3808,s3122,s3006,s2251,s1255,s3852,s20,s2852,s1261,s1265,s3866,s3864,s945,s3461,s1879,s3849,s1450,s318,s3848,s364,s3847]) ).
cnf(s3868,plain,
( spl0_344
| ~ spl0_192
| ~ spl0_238
| spl0_78
| ~ spl0_4
| ~ spl0_13 ),
inference(rat,[],[s465,s1999,s3733,s1345,s3849,s1990,s1295,s37,s26,s3850,s20,s1264,s3461,s1879,s1118,s1450,s3799,s2974,s480,s1730,s3867,s364,s3847]) ).
cnf(s3869,plain,
( ~ spl0_344
| ~ spl0_238
| ~ spl0_4
| ~ spl0_13 ),
inference(rat,[],[s3135,s1945,s468,s3423,s1840,s1504,s2161,s3461,s1879,s1450,s2974,s3867,s364,s3847]) ).
cnf(s3870,plain,
( ~ spl0_238
| spl0_78
| ~ spl0_4
| ~ spl0_13 ),
inference(rat,[],[s2852,s2097,s1337,s3184,s1104,s2905,s2915,s466,s3131,s2967,s468,s3169,s2257,s465,s463,s1999,s3868,s1345,s3869,s2895,s3799,s1118,s3849,s480,s1730,s1272,s1990,s20,s1264,s2974,s3867,s3461,s1879,s1450,s318,s364,s699,s3847]) ).
cnf(s3871,plain,
( spl0_344
| spl0_360
| ~ spl0_192
| spl0_78
| spl0_25
| ~ spl0_13 ),
inference(rat,[],[s1104,s3184,s2851,s3732,s1663,s465,s1999,s1345,s3849,s20,s894,s2043,s480,s1730,s1272,s1990,s3867,s3461,s1879,s1450,s3227,s699,s784,s2024,s364,s3847]) ).
cnf(s3872,plain,
( ~ spl0_344
| ~ spl0_4
| ~ spl0_13 ),
inference(rat,[],[s2207,s468,s1502,s2248,s2968,s1840,s2161,s3170,s1990,s2254,s2974,s3867,s364,s1091]) ).
cnf(s3873,plain,
( ~ spl0_360
| ~ spl0_4
| ~ spl0_13 ),
inference(rat,[],[s3134,s1938,s464,s3403,s3247,s2937,s2093,s3461,s1879,s1450,s2974,s3867,s318,s3847]) ).
cnf(s3874,plain,
( spl0_78
| ~ spl0_4
| ~ spl0_13 ),
inference(rat,[],[s1602,s2905,s2860,s466,s3105,s2967,s468,s3169,s2257,s2267,s463,s3871,s2251,s3870,s480,s1730,s1272,s1990,s923,s3850,s20,s1264,s2974,s3867,s3461,s1879,s465,s1999,s3873,s1345,s3872,s3849,s1450,s3848,s364,s784,s318,s3847]) ).
cnf(s3875,plain,
( ~ spl0_4
| ~ spl0_13 ),
inference(rat,[],[s2852,s1261,s1265,s3874,s20,s1264,s2974,s3461,s1879,s1450,s3867,s318,s364,s3847]) ).
cnf(s3876,plain,
( ~ spl0_192
| spl0_25
| spl0_78
| ~ spl0_13 ),
inference(rat,[],[s3713,s1502,s468,s1840,s1504,s3871,s1118,s3730,s2251,s3238,s2350,s39,s1547,s37,s1645,s3834,s2043,s3849,s480,s1730,s2221,s1272,s1990,s3867,s4,s923,s2121,s3850,s20,s3461,s1879,s1450,s3875,s1091,s364,s3847,s699]) ).
cnf(s3877,plain,
( spl0_360
| spl0_230
| spl0_25
| spl0_78
| ~ spl0_13 ),
inference(rat,[],[s1955,s1315,s465,s1807,s1663,s3423,s3135,s3116,s1624,s468,s3777,s464,s3090,s1531,s3219,s1424,s1645,s2267,s3007,s1331,s3849,s480,s1730,s3867,s145,s2121,s3850,s20,s3461,s1879,s1450,s3875,s463,s3876,s318,s364,s784,s1192,s3847]) ).
cnf(s3878,plain,
( spl0_230
| spl0_25
| spl0_78
| ~ spl0_13 ),
inference(rat,[],[s3747,s3403,s464,s2972,s2937,s2936,s3877,s480,s1730,s3867,s318,s3847]) ).
cnf(s3879,plain,
( spl0_25
| spl0_78
| ~ spl0_13 ),
inference(rat,[],[s3087,s464,s2350,s2937,s2251,s3007,s1276,s1220,s1514,s3878,s463,s3876,s2121,s923,s3850,s20,s3461,s1879,s3849,s1450,s3867,s3875,s318,s3848,s3847]) ).
cnf(s3880,plain,
( spl0_80
| spl0_78
| ~ spl0_13 ),
inference(rat,[],[s915,s1237,s2121,s1450,s3875,s3879]) ).
cnf(s3881,plain,
( spl0_78
| ~ spl0_13 ),
inference(rat,[],[s1547,s463,s1645,s1514,s3007,s2937,s464,s3087,s2350,s923,s1276,s3122,s3880,s2251,s3852,s1264,s3879,s3849,s1450,s3867,s3875,s318,s3848]) ).
cnf(s3882,plain,
~ spl0_13,
inference(rat,[],[s1547,s463,s1645,s1514,s3007,s2937,s464,s3087,s2350,s923,s3122,s2251,s1255,s3852,s1264,s20,s2852,s1261,s1646,s1265,s3881,s3875,s3867,s3849,s3461,s1879,s1450,s318,s3848,s364,s3847]) ).
cnf(s3883,plain,
spl0_28,
inference(rat,[],[s34,s3882]) ).
cnf(s3887,plain,
( ~ spl0_192
| spl0_360
| spl0_178 ),
inference(rat,[],[s1562,s2227,s464,s480,s2950,s2043,s2877,s2111,s1612,s898,s3403,s3849,s2194,s2152,s2158,s945,s1331,s3847,s318,s2024,s3882,s3848]) ).
cnf(s3888,plain,
( ~ spl0_356
| spl0_360
| spl0_178 ),
inference(rat,[],[s2950,s464,s2877,s2111,s1562,s898,s1801,s3849,s1331,s463,s3887,s318,s2024,s3882]) ).
cnf(s3889,plain,
( spl0_360
| spl0_178 ),
inference(rat,[],[s3804,s2111,s1954,s1320,s2209,s3183,s3888,s463,s3887,s945,s318,s3882,s2024]) ).
cnf(s3890,plain,
( ~ spl0_202
| spl0_230
| ~ spl0_210
| spl0_178
| ~ spl0_4 ),
inference(rat,[],[s1351,s2161,s3135,s1345,s1624,s2211,s3855,s3889]) ).
cnf(s3891,plain,
( spl0_178
| spl0_25
| ~ spl0_4
| spl0_78 ),
inference(rat,[],[s2043,s463,s2952,s2209,s3748,s468,s3890,s3410,s565,s2950,s2190,s464,s2111,s3747,s898,s1750,s1879,s3461,s20,s160,s480,s2852,s2131,s3765,s2997,s3744,s1954,s1129,s3403,s3855,s2093,s3889,s318,s364,s1192,s3882,s3847]) ).
cnf(s3892,plain,
( ~ spl0_356
| ~ spl0_192
| ~ spl0_238
| ~ spl0_210 ),
inference(rat,[],[s1612,s3403,s3719,s2152,s3848,s3847]) ).
cnf(s3893,plain,
( ~ spl0_202
| ~ spl0_87
| ~ spl0_447
| ~ spl0_159
| ~ spl0_178
| ~ spl0_4
| spl0_78 ),
inference(rat,[],[s2161,s3184,s3423,s2097,s1104,s3135,s2915,s1624,s3131,s2974,s480,s1730,s3461,s1879,s699,s3847]) ).
cnf(s3894,plain,
( ~ spl0_159
| ~ spl0_238
| spl0_25
| ~ spl0_4
| spl0_78 ),
inference(rat,[],[s2097,s3184,s3180,s1504,s1629,s468,s3893,s2985,s3850,s20,s2895,s3461,s1118,s1879,s3891,s699,s1091,s3882,s364,s1192,s318,s3847]) ).
cnf(s3895,plain,
( spl0_356
| spl0_12
| ~ spl0_238
| spl0_360
| ~ spl0_178
| ~ spl0_4 ),
inference(rat,[],[s465,s1902,s1999,s2880,s1345,s2161,s3423,s3135,s1624,s468,s3798,s3183,s2974,s480,s1730,s364,s1091,s3882,s2024,s3847]) ).
cnf(s3896,plain,
( ~ spl0_238
| spl0_360
| spl0_25
| ~ spl0_4
| spl0_78 ),
inference(rat,[],[s463,s3892,s1525,s3895,s898,s3894,s480,s1730,s3891,s318,s3847]) ).
cnf(s3897,plain,
( ~ spl0_356
| ~ spl0_192
| ~ spl0_210 ),
inference(rat,[],[s1612,s2043,s3403,s2194,s2152,s3848,s3847]) ).
cnf(s3898,plain,
( ~ spl0_159
| ~ spl0_357
| ~ spl0_371
| ~ spl0_192
| ~ spl0_443
| spl0_25
| ~ spl0_4
| spl0_78 ),
inference(rat,[],[s2851,s1104,s1663,s3184,s2043,s3732,s1272,s465,s2110,s1955,s3087,s1939,s1315,s464,s3170,s2177,s3777,s2968,s468,s2857,s3893,s2908,s2895,s2109,s3795,s2350,s2985,s923,s3850,s20,s3461,s1879,s894,s3897,s480,s1730,s3891,s784,s2024,s699,s364,s318,s1192,s3882,s3847]) ).
cnf(s3899,plain,
( spl0_344
| spl0_12
| spl0_356
| spl0_360 ),
inference(rat,[],[s465,s1902,s1999,s2880,s1345,s3183,s364,s1091,s3882,s2024]) ).
cnf(s3900,plain,
( ~ spl0_344
| ~ spl0_178
| ~ spl0_4 ),
inference(rat,[],[s1624,s3135,s468,s3423,s2968,s2161,s3170,s2974,s480,s1730,s364,s3847]) ).
cnf(s3901,plain,
( ~ spl0_192
| spl0_360
| spl0_25
| ~ spl0_4
| spl0_78 ),
inference(rat,[],[s898,s3898,s3899,s3183,s3897,s3227,s480,s1730,s3900,s3891,s2251,s3896,s2024,s3882,s3847]) ).
cnf(s3902,plain,
( spl0_360
| spl0_25
| ~ spl0_4
| spl0_78 ),
inference(rat,[],[s2207,s468,s1502,s2257,s1902,s465,s1320,s1999,s3183,s1525,s463,s3901,s2249,s2251,s3896,s1345,s3900,s3891,s364,s1091,s2024,s3882,s318]) ).
cnf(s3903,plain,
( spl0_25
| ~ spl0_4
| spl0_78 ),
inference(rat,[],[s3747,s464,s3403,s2937,s2093,s3902,s480,s2974,s1730,s3891,s3847,s318]) ).
cnf(s3904,plain,
( spl0_178
| ~ spl0_4
| spl0_78 ),
inference(rat,[],[s3122,s1071,s3744,s1954,s1129,s3855,s3889,s3903,s3848,s3882,s318,s364]) ).
cnf(s3905,plain,
( ~ spl0_192
| spl0_360
| ~ spl0_4
| spl0_78 ),
inference(rat,[],[s3183,s3796,s3897,s3227,s480,s1730,s1266,s2974,s3904,s3903,s2024,s3882,s3848,s3847]) ).
cnf(s3906,plain,
( spl0_360
| ~ spl0_4
| spl0_78 ),
inference(rat,[],[s3183,s1708,s1525,s463,s3905,s3903,s2974,s3904,s2024,s3882,s318]) ).
cnf(s3907,plain,
( ~ spl0_4
| spl0_78 ),
inference(rat,[],[s3747,s464,s3403,s2937,s2093,s3906,s480,s2974,s1730,s3904,s3847,s318]) ).
cnf(s3908,plain,
( ~ spl0_356
| ~ spl0_192
| spl0_178
| ~ spl0_36 ),
inference(rat,[],[s1764,s758,s2111,s480,s898,s3897,s3849,s3882,s318]) ).
cnf(s3912,plain,
( ~ spl0_238
| ~ spl0_360 ),
inference(rat,[],[s464,s3747,s480,s1777,s1220,s2227,s3403,s2972,s2936,s318,s3848,s3847]) ).
cnf(s3913,plain,
( spl0_178
| spl0_78 ),
inference(rat,[],[s1071,s20,s2852,s3461,s3122,s2997,s3249,s1750,s3744,s1954,s1129,s3006,s3912,s3889,s3907,s318,s364,s3848,s3882]) ).
cnf(s3914,plain,
( spl0_344
| ~ spl0_192
| spl0_360
| spl0_25
| spl0_78 ),
inference(rat,[],[s1104,s2851,s3184,s1663,s3732,s465,s1999,s1345,s894,s3227,s20,s3461,s2952,s898,s1375,s758,s1468,s3007,s3183,s3897,s480,s1730,s29,s3907,s3913,s784,s2024,s699,s364,s3882,s3847]) ).
cnf(s3915,plain,
( ~ spl0_192
| spl0_360
| spl0_25
| spl0_78 ),
inference(rat,[],[s3713,s1502,s468,s1566,s1504,s3914,s2251,s2350,s1547,s1645,s3795,s2121,s2985,s923,s2221,s3850,s1375,s898,s20,s758,s3461,s1468,s2952,s3007,s3183,s3897,s3227,s894,s29,s3907,s480,s1730,s3913,s1091,s364,s1192,s3882,s699,s2024,s3847]) ).
cnf(s3916,plain,
( spl0_360
| spl0_25
| spl0_78 ),
inference(rat,[],[s3184,s1566,s2097,s1104,s1500,s2915,s3713,s3131,s468,s3777,s464,s3090,s1531,s1645,s2121,s2985,s3850,s898,s20,s758,s3461,s2221,s2895,s1468,s2952,s1320,s2209,s3007,s3183,s2267,s1525,s463,s3915,s1331,s145,s29,s3907,s1730,s3913,s699,s364,s318,s784,s1192,s3882,s2024,s3847]) ).
cnf(s3917,plain,
( spl0_233
| ~ spl0_378
| ~ spl0_192
| ~ spl0_443
| spl0_78 ),
inference(rat,[],[s1547,s1645,s2350,s2121,s923,s3907,s3897,s480,s1730,s3913,s3847]) ).
cnf(s3918,plain,
( ~ spl0_159
| ~ spl0_233
| spl0_25 ),
inference(rat,[],[s20,s3461,s3850,s1879,s3847]) ).
cnf(s3919,plain,
( ~ spl0_192
| spl0_25
| spl0_78 ),
inference(rat,[],[s2221,s1545,s3834,s758,s898,s3918,s3917,s2043,s1612,s29,s3907,s2251,s3912,s3747,s3403,s2972,s2936,s464,s2937,s3916,s480,s1730,s3913,s699,s3882,s3847,s318]) ).
cnf(s3920,plain,
( spl0_233
| spl0_25
| spl0_78 ),
inference(rat,[],[s3087,s1276,s2350,s2121,s923,s3907,s2251,s3912,s3747,s3403,s2972,s2936,s464,s2937,s3916,s480,s1730,s1525,s463,s3919,s3913,s318,s3847]) ).
cnf(s3922,plain,
( ~ spl0_344
| ~ spl0_233
| ~ spl0_178 ),
inference(rat,[],[s466,s473,s2967,s1682,s3170,s480,s1730,s144,s2131,s3219,s1729,s364,s1192,s3847]) ).
cnf(s3923,plain,
( spl0_25
| spl0_78 ),
inference(rat,[],[s466,s1474,s2905,s3086,s1710,s2880,s3922,s758,s565,s898,s160,s3918,s1729,s2131,s3920,s29,s3907,s480,s1730,s3913,s364,s1091,s3882,s3847]) ).
cnf(s3924,plain,
( ~ spl0_356
| ~ spl0_178 ),
inference(rat,[],[s463,s3897,s1525,s480,s1730,s318,s3847]) ).
cnf(s3925,plain,
( ~ spl0_233
| ~ spl0_159
| ~ spl0_25 ),
inference(rat,[],[s1237,s915,s3122,s3848]) ).
cnf(s3926,plain,
( ~ spl0_159
| ~ spl0_192
| spl0_78 ),
inference(rat,[],[s1375,s1272,s758,s2043,s1974,s3917,s2121,s2985,s3925,s2251,s3461,s3852,s1879,s29,s3907,s480,s1730,s3913,s3923,s3882,s1192,s3847]) ).
cnf(s3927,plain,
( spl0_12
| spl0_78 ),
inference(rat,[],[s466,s1474,s2905,s3086,s1710,s565,s2880,s160,s3922,s1729,s2131,s2121,s3438,s3098,s758,s29,s3907,s480,s1730,s3913,s364,s1091,s3882,s3847,s3848]) ).
cnf(s3928,plain,
spl0_78,
inference(rat,[],[s464,s2937,s3087,s3007,s1276,s1514,s2147,s24,s2350,s54,s463,s2121,s923,s2251,s2196,s3926,s3925,s3852,s1879,s56,s898,s3927,s3924,s3923,s3913,s4,s3907,s318,s1091,s1192,s3882,s3847]) ).
cnf(s3929,plain,
~ spl0_76,
inference(rat,[],[s1265,s3847,s3928]) ).
cnf(s3930,plain,
spl0_95,
inference(rat,[],[s160,s3929]) ).
cnf(s3931,plain,
spl0_75,
inference(rat,[],[s144,s3929]) ).
cnf(s3932,plain,
( ~ spl0_159
| ~ spl0_192
| spl0_178
| spl0_25 ),
inference(rat,[],[s2036,s3219,s2109,s2110,s2852,s2847,s1335,s1409,s20,s923,s1553,s3461,s3918,s3849,s1879,s945,s2972,s2936,s3889,s1192,s3929,s318,s364,s2821,s2707,s3883,s3847]) ).
cnf(s3934,plain,
( ~ spl0_18
| ~ spl0_378
| ~ spl0_210
| ~ spl0_4
| ~ spl0_162
| spl0_178 ),
inference(rat,[],[s3411,s3748,s2950,s464,s468,s3747,s3890,s2952,s1750,s1954,s3912,s3403,s2972,s2936,s3889,s318,s364,s3847,s3882]) ).
cnf(s3935,plain,
( ~ spl0_26
| ~ spl0_363
| spl0_178 ),
inference(rat,[],[s2900,s2916,s2997,s2109,s2852,s2847,s2972,s2936,s1954,s3912,s3889,s364,s3930,s3929,s318,s2821,s2707,s3882,s3847]) ).
cnf(s3936,plain,
( ~ spl0_192
| spl0_178
| spl0_25 ),
inference(rat,[],[s1753,s3934,s2043,s480,s2031,s3461,s20,s3935,s2111,s898,s3932,s1612,s1894,s1954,s3912,s3403,s2972,s2936,s3889,s318,s3882,s3847]) ).
cnf(s3937,plain,
( spl0_178
| spl0_25 ),
inference(rat,[],[s468,s3792,s3890,s480,s898,s1750,s2031,s1753,s1879,s3461,s20,s2847,s2209,s463,s3936,s3403,s1954,s2972,s3912,s2936,s3889,s364,s3882,s3847,s2821,s2707,s318]) ).
cnf(s3938,plain,
( ~ spl0_215
| ~ spl0_378
| ~ spl0_192
| spl0_148 ),
inference(rat,[],[s1645,s165,s1530,s1334,s1551]) ).
cnf(s3939,plain,
( ~ spl0_26
| ~ spl0_368
| spl0_356 ),
inference(rat,[],[s2972,s2936,s2847,s3183,s2109,s2852,s3847,s2821,s2707,s2024,s3882,s3929,s318,s364]) ).
cnf(s3940,plain,
( ~ spl0_192
| spl0_25 ),
inference(rat,[],[s1533,s923,s1530,s2350,s1897,s3087,s3168,s2251,s464,s2972,s3912,s2937,s2936,s3183,s2952,s3461,s20,s3939,s165,s1424,s1327,s3938,s2043,s3924,s3139,s480,s1730,s3219,s565,s1646,s3937,s318,s3847,s2024,s3882,s3930,s3928,s1192]) ).
cnf(s3941,plain,
( ~ spl0_27
| spl0_25 ),
inference(rat,[],[s2097,s2345,s2915,s2895,s3131,s2209,s468,s3183,s3777,s2937,s464,s3133,s2916,s3939,s2852,s20,s1730,s3924,s2900,s3139,s3937,s463,s3940,s3930,s318,s364,s2024,s3882,s3929,s3928,s3847]) ).
cnf(s3942,plain,
( ~ spl0_4
| spl0_25 ),
inference(rat,[],[s3747,s3403,s464,s2093,s2937,s3899,s3900,s2974,s3924,s480,s1730,s3937,s898,s1879,s3461,s3941,s318,s3847]) ).
cnf(s3943,plain,
( spl0_360
| spl0_25 ),
inference(rat,[],[s2952,s3007,s3183,s3924,s3937,s3461,s3941,s3942,s2024,s3882]) ).
cnf(s3944,plain,
spl0_25,
inference(rat,[],[s1533,s923,s1530,s2350,s1897,s3167,s3087,s2251,s464,s3912,s2937,s3943,s3219,s1646,s3139,s3924,s3937,s318,s1192,s3928]) ).
cnf(s3945,plain,
( ~ spl0_356
| ~ spl0_192
| spl0_178 ),
inference(rat,[],[s668,s3817,s1071,s3782,s2857,s2111,s2916,s29,s480,s898,s1605,s3908,s3897,s3849,s1954,s3912,s1894,s2972,s2936,s3889,s3944,s318,s3882,s3930,s3928,s3847]) ).
cnf(s3946,plain,
( ~ spl0_159
| ~ spl0_378
| ~ spl0_192
| spl0_178 ),
inference(rat,[],[s1387,s1602,s2860,s3105,s468,s3748,s3410,s2185,s2109,s464,s2916,s3087,s2900,s2110,s1068,s1237,s1645,s1547,s2350,s923,s3925,s1116,s2251,s1954,s3912,s1894,s2972,s2936,s3889,s1409,s1553,s3945,s945,s3848,s364,s318,s3930,s3944,s3883,s3847,s3882]) ).
cnf(s3947,plain,
( spl0_80
| ~ spl0_357
| ~ spl0_363
| ~ spl0_294 ),
inference(rat,[],[s2916,s2900,s2109,s1068,s1237,s3930,s364,s3944]) ).
cnf(s3948,plain,
( ~ spl0_80
| ~ spl0_4
| ~ spl0_378
| spl0_356
| ~ spl0_192
| ~ spl0_443 ),
inference(rat,[],[s2350,s1547,s923,s1645,s668]) ).
cnf(s3949,plain,
( ~ spl0_202
| ~ spl0_209
| spl0_293
| spl0_178 ),
inference(rat,[],[s2947,s3118,s1312,s1345,s3103,s3116,s2211,s3912,s3889,s3928]) ).
cnf(s3950,plain,
( ~ spl0_4
| ~ spl0_210
| ~ spl0_192
| spl0_178 ),
inference(rat,[],[s2869,s464,s465,s3747,s1948,s1470,s2349,s1343,s2321,s1359,s466,s473,s2947,s3118,s2880,s1628,s468,s3949,s3219,s2110,s3947,s1068,s1237,s3948,s3461,s3934,s2251,s1954,s3912,s1894,s1409,s1553,s3945,s945,s898,s3946,s2043,s1612,s3403,s2972,s2936,s3889,s318,s364,s3944,s3931,s3928,s1091,s3882,s1192,s3847,s3883]) ).
cnf(s3951,plain,
( ~ spl0_210
| ~ spl0_192
| spl0_178 ),
inference(rat,[],[s1764,s1286,s3428,s4,s3950,s2929,s898,s3946,s2043,s1612,s3403,s2972,s2936,s3889,s1409,s1553,s3945,s945,s3882,s3883,s3847]) ).
cnf(s3952,plain,
( spl0_378
| ~ spl0_4
| ~ spl0_192
| spl0_178 ),
inference(rat,[],[s2350,s923,s3087,s668,s464,s3947,s1366,s1513,s2251,s1954,s3912,s1894,s2972,s2936,s3889,s3782,s480,s3951,s1409,s1553,s3945,s945,s318,s3944,s3883,s3847,s3882]) ).
cnf(s3953,plain,
( ~ spl0_199
| ~ spl0_148
| ~ spl0_162 ),
inference(rat,[],[s1343,s1356,s1359,s3944]) ).
cnf(s3954,plain,
( ~ spl0_4
| ~ spl0_192
| spl0_178 ),
inference(rat,[],[s2948,s2345,s3118,s2290,s2880,s2269,s1628,s468,s3949,s2900,s1068,s898,s3948,s3946,s3952,s2251,s1954,s3912,s3889,s3219,s3782,s466,s3953,s480,s3951,s1409,s1553,s3945,s945,s3930,s3928,s1091,s3882,s364,s3944,s3883,s1192,s318]) ).
cnf(s3955,plain,
( ~ spl0_192
| spl0_178 ),
inference(rat,[],[s3087,s464,s2350,s1366,s923,s3946,s3925,s898,s758,s29,s3954,s3782,s1764,s480,s3951,s1409,s1553,s3945,s945,s2251,s1954,s3912,s3889,s318,s3944,s3882,s3883]) ).
cnf(s3956,plain,
spl0_178,
inference(rat,[],[s3411,s3748,s2185,s464,s468,s3747,s3890,s3006,s480,s1514,s2265,s1513,s2209,s463,s3955,s3403,s1954,s2972,s3912,s2936,s3889,s318,s364,s3944,s3882,s3847]) ).
cnf(s3958,plain,
~ spl0_148,
inference(rat,[],[s1730,s3847,s3956]) ).
cnf(s3959,plain,
~ spl0_356,
inference(rat,[],[s3924,s3956]) ).
cnf(s3960,plain,
~ spl0_293,
inference(rat,[],[s3139,s3928,s3956]) ).
cnf(s3961,plain,
~ spl0_221,
inference(rat,[],[s1646,s3928,s3956]) ).
cnf(s3962,plain,
spl0_210,
inference(rat,[],[s480,s3958]) ).
cnf(s3965,plain,
spl0_448,
inference(rat,[],[s2900,s364,s3960]) ).
cnf(s3966,plain,
spl0_209,
inference(rat,[],[s3219,s1192,s3961]) ).
cnf(s3967,plain,
~ spl0_156,
inference(rat,[],[s565,s3930,s3961]) ).
cnf(s3968,plain,
( ~ spl0_368
| ~ spl0_378 ),
inference(rat,[],[s1533,s923,s1530,s2350,s1897,s3087,s3168,s2251,s464,s2972,s3912,s2937,s2936,s3183,s2109,s1237,s165,s1424,s3944,s3882,s2024,s3956,s3847,s318,s3961,s3960,s3959]) ).
cnf(s3969,plain,
( ~ spl0_378
| ~ spl0_192 ),
inference(rat,[],[s3968,s1327,s3938,s3958,s3966]) ).
cnf(s3970,plain,
~ spl0_192,
inference(rat,[],[s3969,s2043,s3967,s3962]) ).
cnf(s3971,plain,
spl0_193,
inference(rat,[],[s463,s318,s3970]) ).
cnf(s3975,plain,
spl0_378,
inference(rat,[],[s1533,s923,s1530,s2350,s1897,s3167,s3087,s464,s2937,s3007,s2251,s2974,s1220,s1708,s1513,s3959,s3960,s3966,s3961,s318,s3956,s3848,s3944,s3971]) ).
cnf(s3976,plain,
~ spl0_368,
inference(rat,[],[s3968,s3975]) ).
cnf(s3977,plain,
~ spl0_230,
inference(rat,[],[s1514,s3971,s3975]) ).
cnf(s3978,plain,
~ spl0_363,
inference(rat,[],[s2916,s3965,s3930,s3976]) ).
cnf(s3982,plain,
~ spl0_357,
inference(rat,[],[s1708,s3971,s3944,s3977]) ).
cnf(s3983,plain,
~ spl0_194,
inference(rat,[],[s3133,s3958,s3978]) ).
cnf(s3986,plain,
spl0_360,
inference(rat,[],[s3183,s3959,s3882,s2024,s3982]) ).
cnf(s3987,plain,
spl0_195,
inference(rat,[],[s464,s318,s3983]) ).
cnf(s3989,plain,
$false,
inference(rat,[],[s2937,s3956,s3986,s3987]) ).
thf(f38676,plain,
$false,
inference(avatar_sat_refutation,[],[s3989]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA164^1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n016.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 19:11:20 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.08/0.24 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.37 % (780174)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.22/0.37 % (780184)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3474155583:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.22/0.37 % (780185)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.22/0.37 % (780185)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
% 0.22/0.37 % (780183)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1578481314:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.22/0.37 % (780179)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3047994095:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.22/0.37 % (780180)lrs+10_16_si=on:nwc=1.5:random_seed=189584336:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.22/0.37 % (780181)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=432514223:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.22/0.37 % (780185)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=153476452:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.22/0.37 % (780181)Instruction limit reached!
% 0.22/0.37 % (780181)------------------------------
% 0.22/0.37 % (780181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.37 % (780181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.37 % (780181)CaDiCaL version: 2.1.3
% 0.22/0.37 % (780181)Termination reason: Instruction limit
% 0.22/0.37 % (780181)Termination phase: Saturation
% 0.22/0.37 % (780181)Time elapsed: 0.002 s
% 0.22/0.37 % (780181)Peak memory usage: 12 MB
% 0.22/0.37 % (780181)Instructions burned: 3 (million)
% 0.22/0.37 % (780182)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=3261841935: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)
% 0.22/0.37 % (780180)Instruction limit reached!
% 0.22/0.37 % (780180)------------------------------
% 0.22/0.37 % (780180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.37 % (780180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.37 % (780180)CaDiCaL version: 2.1.3
% 0.22/0.37 % (780180)Termination reason: Instruction limit
% 0.22/0.37 % (780180)Termination phase: Saturation
% 0.22/0.37 % (780180)Time elapsed: 0.010 s
% 0.22/0.37 % (780180)Peak memory usage: 12 MB
% 0.22/0.37 % (780180)Instructions burned: 20 (million)
% 0.22/0.37 % (780183)Instruction limit reached!
% 0.22/0.37 % (780183)------------------------------
% 0.22/0.37 % (780183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.37 % (780183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.37 % (780183)CaDiCaL version: 2.1.3
% 0.22/0.37 % (780183)Termination reason: Instruction limit
% 0.22/0.37 % (780183)Termination phase: Saturation
% 0.22/0.37 % (780183)Time elapsed: 0.012 s
% 0.22/0.37 % (780183)Peak memory usage: 11 MB
% 0.22/0.37 % (780183)Instructions burned: 24 (million)
% 0.22/0.37 % (780184)Instruction limit reached!
% 0.22/0.37 % (780184)------------------------------
% 0.22/0.37 % (780184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.37 % (780184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.37 % (780184)CaDiCaL version: 2.1.3
% 0.22/0.37 % (780184)Termination reason: Instruction limit
% 0.22/0.37 % (780184)Termination phase: Saturation
% 0.22/0.37 % (780184)Time elapsed: 0.021 s
% 0.22/0.37 % (780184)Peak memory usage: 12 MB
% 0.22/0.37 % (780184)Instructions burned: 78 (million)
% 0.22/0.37 % (780192)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2854148694:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.22/0.37 % (780196)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2932191691:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.22/0.37 % (780192)Instruction limit reached!
% 0.94/0.40 % (780192)------------------------------
% 0.94/0.40 % (780192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.40 % (780192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.40 % (780192)CaDiCaL version: 2.1.3
% 0.94/0.40 % (780192)Termination reason: Instruction limit
% 0.94/0.40 % (780192)Termination phase: Saturation
% 0.94/0.40 % (780192)Time elapsed: 0.003 s
% 0.94/0.40 % (780192)Peak memory usage: 12 MB
% 0.94/0.40 % (780192)Instructions burned: 3 (million)
% 0.94/0.40 % (780195)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.94/0.40 % (780194)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4195481464:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.94/0.40 % (780195)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3980160771:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.94/0.40 % (780196)Instruction limit reached!
% 0.94/0.40 % (780196)------------------------------
% 0.94/0.40 % (780196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.40 % (780196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.40 % (780196)CaDiCaL version: 2.1.3
% 0.94/0.40 % (780196)Termination reason: Instruction limit
% 0.94/0.40 % (780196)Termination phase: Saturation
% 0.94/0.40 % (780196)Time elapsed: 0.005 s
% 0.94/0.40 % (780196)Peak memory usage: 12 MB
% 0.94/0.40 % (780196)Instructions burned: 14 (million)
% 0.94/0.40 % (780194)Instruction limit reached!
% 0.94/0.40 % (780194)------------------------------
% 0.94/0.40 % (780194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.40 % (780194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.40 % (780194)CaDiCaL version: 2.1.3
% 0.94/0.40 % (780194)Termination reason: Instruction limit
% 0.94/0.40 % (780194)Termination phase: Saturation
% 0.94/0.40 % (780194)Time elapsed: 0.004 s
% 0.94/0.40 % (780194)Peak memory usage: 11 MB
% 0.94/0.40 % (780194)Instructions burned: 6 (million)
% 0.94/0.40 % (780195)Instruction limit reached!
% 0.94/0.40 % (780195)------------------------------
% 0.94/0.40 % (780195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.40 % (780195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.40 % (780195)CaDiCaL version: 2.1.3
% 0.94/0.40 % (780195)Termination reason: Instruction limit
% 0.94/0.40 % (780195)Termination phase: Saturation
% 0.94/0.40 % (780195)Time elapsed: 0.005 s
% 0.94/0.40 % (780195)Peak memory usage: 12 MB
% 0.94/0.40 % (780195)Instructions burned: 8 (million)
% 0.94/0.40 % (780179)Instruction limit reached!
% 0.94/0.40 % (780179)------------------------------
% 0.94/0.40 % (780179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.40 % (780179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.40 % (780179)CaDiCaL version: 2.1.3
% 0.94/0.40 % (780179)Termination reason: Instruction limit
% 0.94/0.40 % (780179)Termination phase: Saturation
% 0.94/0.40 % (780179)Time elapsed: 0.038 s
% 0.94/0.40 % (780179)Peak memory usage: 12 MB
% 0.94/0.40 % (780179)Instructions burned: 89 (million)
% 0.94/0.40 % (780199)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
% 0.94/0.40 % (780199)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.94/0.40 % (780202)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=825745539:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.94/0.40 % (780199)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=852499946:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.94/0.40 % (780205)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=57899754:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.94/0.40 % (780205)Refutation not found, incomplete strategy
% 0.94/0.40 % (780205)------------------------------
% 0.94/0.43 % (780205)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.43 % (780205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.43 % (780205)CaDiCaL version: 2.1.3
% 0.94/0.43 % (780205)Termination reason: Refutation not found, incomplete strategy
% 0.94/0.43 % (780205)Time elapsed: 0.001 s
% 0.94/0.43 % (780205)Peak memory usage: 11 MB
% 0.94/0.43 % (780205)------------------------------
% 0.94/0.43 % (780205)------------------------------
% 0.94/0.43 % (780203)lrs+10_1_si=on:cs=on:random_seed=2845835062:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.94/0.43 % (780185)Instruction limit reached!
% 0.94/0.43 % (780185)------------------------------
% 0.94/0.43 % (780185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.43 % (780185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.43 % (780185)CaDiCaL version: 2.1.3
% 0.94/0.43 % (780185)Termination reason: Instruction limit
% 0.94/0.43 % (780185)Termination phase: Saturation
% 0.94/0.43 % (780185)Time elapsed: 0.068 s
% 0.94/0.43 % (780185)Peak memory usage: 12 MB
% 0.94/0.43 % (780185)Instructions burned: 157 (million)
% 0.94/0.43 % (780204)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.94/0.43 % (780203)Instruction limit reached!
% 0.94/0.43 % (780203)------------------------------
% 0.94/0.43 % (780203)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.43 % (780203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.43 % (780203)CaDiCaL version: 2.1.3
% 0.94/0.43 % (780203)Termination reason: Instruction limit
% 0.94/0.43 % (780203)Termination phase: Saturation
% 0.94/0.43 % (780203)Time elapsed: 0.005 s
% 0.94/0.43 % (780203)Peak memory usage: 12 MB
% 0.94/0.43 % (780203)Instructions burned: 9 (million)
% 0.94/0.43 % (780199)Instruction limit reached!
% 0.94/0.43 % (780199)------------------------------
% 0.94/0.43 % (780199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.43 % (780199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.43 % (780199)CaDiCaL version: 2.1.3
% 0.94/0.43 % (780199)Termination reason: Instruction limit
% 0.94/0.43 % (780199)Termination phase: Saturation
% 0.94/0.43 % (780199)Time elapsed: 0.015 s
% 0.94/0.43 % (780199)Peak memory usage: 12 MB
% 0.94/0.43 % (780199)Instructions burned: 30 (million)
% 0.94/0.43 % (780204)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=3079016331:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.94/0.43 % (780209)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2650650326:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.94/0.43 % (780204)Instruction limit reached!
% 0.94/0.43 % (780204)------------------------------
% 0.94/0.43 % (780204)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.43 % (780204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.43 % (780204)CaDiCaL version: 2.1.3
% 0.94/0.43 % (780204)Termination reason: Instruction limit
% 0.94/0.43 % (780204)Termination phase: Saturation
% 0.94/0.43 % (780204)Time elapsed: 0.001 s
% 0.94/0.43 % (780204)Peak memory usage: 11 MB
% 0.94/0.43 % (780204)Instructions burned: 2 (million)
% 0.94/0.43 % (780209)Refutation not found, incomplete strategy
% 0.94/0.43 % (780209)------------------------------
% 0.94/0.43 % (780209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.43 % (780209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.43 % (780209)CaDiCaL version: 2.1.3
% 0.94/0.43 % (780209)Termination reason: Refutation not found, incomplete strategy
% 0.94/0.43 % (780209)Time elapsed: 0.0000 s
% 0.94/0.43 % (780209)Peak memory usage: 11 MB
% 0.94/0.43 % (780209)------------------------------
% 0.94/0.43 % (780209)------------------------------
% 0.94/0.43 % (780202)Instruction limit reached!
% 0.94/0.43 % (780202)------------------------------
% 0.94/0.43 % (780202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.43 % (780202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.43 % (780202)CaDiCaL version: 2.1.3
% 0.94/0.43 % (780202)Termination reason: Instruction limit
% 0.94/0.43 % (780202)Termination phase: Saturation
% 0.94/0.46 % (780202)Time elapsed: 0.033 s
% 0.94/0.46 % (780202)Peak memory usage: 12 MB
% 0.94/0.46 % (780202)Instructions burned: 99 (million)
% 0.94/0.46 % (780211)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3629262645:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.94/0.46 % (780211)Refutation not found, incomplete strategy
% 0.94/0.46 % (780211)------------------------------
% 0.94/0.46 % (780211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.46 % (780211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.46 % (780211)CaDiCaL version: 2.1.3
% 0.94/0.46 % (780211)Termination reason: Refutation not found, incomplete strategy
% 0.94/0.46 % (780211)Time elapsed: 0.0000 s
% 0.94/0.46 % (780211)Peak memory usage: 11 MB
% 0.94/0.46 % (780211)------------------------------
% 0.94/0.46 % (780211)------------------------------
% 0.94/0.46 % (780212)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3017166288:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.94/0.46 % (780220)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1894026546:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.94/0.46 % (780216)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3378191344:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.94/0.46 % (780217)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2150442754:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.94/0.46 % (780212)Instruction limit reached!
% 0.94/0.46 % (780212)------------------------------
% 0.94/0.46 % (780212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.46 % (780212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.46 % (780212)CaDiCaL version: 2.1.3
% 0.94/0.46 % (780212)Termination reason: Instruction limit
% 0.94/0.46 % (780212)Termination phase: Saturation
% 0.94/0.46 % (780212)Time elapsed: 0.009 s
% 0.94/0.46 % (780212)Peak memory usage: 12 MB
% 0.94/0.46 % (780212)Instructions burned: 15 (million)
% 0.94/0.46 % (780217)Refutation not found, incomplete strategy
% 0.94/0.46 % (780217)------------------------------
% 0.94/0.46 % (780217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.46 % (780217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.46 % (780217)CaDiCaL version: 2.1.3
% 0.94/0.46 % (780217)Termination reason: Refutation not found, incomplete strategy
% 0.94/0.46 % (780217)Time elapsed: 0.0000 s
% 0.94/0.46 % (780217)Peak memory usage: 11 MB
% 0.94/0.46 % (780217)------------------------------
% 0.94/0.46 % (780217)------------------------------
% 0.94/0.46 % (780213)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=4055861651:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.94/0.46 % (780220)Instruction limit reached!
% 0.94/0.46 % (780220)------------------------------
% 0.94/0.46 % (780220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.46 % (780220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.46 % (780220)CaDiCaL version: 2.1.3
% 0.94/0.46 % (780220)Termination reason: Instruction limit
% 0.94/0.46 % (780220)Termination phase: Saturation
% 0.94/0.46 % (780220)Time elapsed: 0.006 s
% 0.94/0.46 % (780220)Peak memory usage: 11 MB
% 0.94/0.46 % (780220)Instructions burned: 25 (million)
% 0.94/0.46 % (780213)Refutation not found, incomplete strategy
% 0.94/0.46 % (780213)------------------------------
% 0.94/0.46 % (780213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.46 % (780213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.46 % (780213)CaDiCaL version: 2.1.3
% 0.94/0.46 % (780213)Termination reason: Refutation not found, incomplete strategy
% 0.94/0.46 % (780213)Time elapsed: 0.001 s
% 0.94/0.46 % (780213)Peak memory usage: 11 MB
% 0.94/0.46 % (780216)Instruction limit reached!
% 0.94/0.46 % (780216)------------------------------
% 0.94/0.46 % (780216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.46 % (780216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.46 % (780216)CaDiCaL version: 2.1.3
% 0.94/0.46 % (780216)Termination reason: Instruction limit
% 0.94/0.49 % (780216)Termination phase: Saturation
% 0.94/0.49 % (780216)Time elapsed: 0.008 s
% 0.94/0.49 % (780216)Peak memory usage: 12 MB
% 0.94/0.49 % (780216)Instructions burned: 15 (million)
% 0.94/0.49 % (780213)------------------------------
% 0.94/0.49 % (780213)------------------------------
% 0.94/0.49 % (780228)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.94/0.49 % (780218)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=188129371:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.94/0.49 % (780228)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=1312370736:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.94/0.49 % (780226)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.94/0.49 % (780226)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.94/0.49 % (780228)Instruction limit reached!
% 0.94/0.49 % (780228)------------------------------
% 0.94/0.49 % (780228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.49 % (780228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.49 % (780228)CaDiCaL version: 2.1.3
% 0.94/0.49 % (780228)Termination reason: Instruction limit
% 0.94/0.49 % (780228)Termination phase: Saturation
% 0.94/0.49 % (780228)Time elapsed: 0.003 s
% 0.94/0.49 % (780228)Peak memory usage: 12 MB
% 0.94/0.49 % (780228)Instructions burned: 9 (million)
% 0.94/0.49 % (780225)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2516387580:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.94/0.49 % (780226)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=2617200032:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.94/0.49 % (780229)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=2517677823:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 0.94/0.49 % (780218)Instruction limit reached!
% 0.94/0.49 % (780218)------------------------------
% 0.94/0.49 % (780218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.49 % (780218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.49 % (780218)CaDiCaL version: 2.1.3
% 0.94/0.49 % (780218)Termination reason: Instruction limit
% 0.94/0.49 % (780218)Termination phase: Saturation
% 0.94/0.49 % (780218)Time elapsed: 0.014 s
% 0.94/0.49 % (780218)Peak memory usage: 12 MB
% 0.94/0.49 % (780218)Instructions burned: 27 (million)
% 0.94/0.49 % (780234)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=201807517:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.94/0.49 % (780230)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=491613085:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 0.94/0.49 % (780226)Instruction limit reached!
% 0.94/0.49 % (780226)------------------------------
% 0.94/0.49 % (780226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.49 % (780226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.49 % (780226)CaDiCaL version: 2.1.3
% 0.94/0.49 % (780226)Termination reason: Instruction limit
% 0.94/0.49 % (780226)Termination phase: Saturation
% 0.94/0.49 % (780226)Time elapsed: 0.009 s
% 0.94/0.49 % (780226)Peak memory usage: 12 MB
% 0.94/0.49 % (780226)Instructions burned: 14 (million)
% 0.94/0.49 % (780230)Instruction limit reached!
% 0.94/0.49 % (780230)------------------------------
% 0.94/0.49 % (780230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.49 % (780230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.49 % (780230)CaDiCaL version: 2.1.3
% 0.94/0.49 % (780230)Termination reason: Instruction limit
% 0.94/0.49 % (780230)Termination phase: Saturation
% 0.94/0.49 % (780230)Time elapsed: 0.005 s
% 1.67/0.56 % (780230)Peak memory usage: 12 MB
% 1.67/0.56 % (780230)Instructions burned: 8 (million)
% 1.67/0.56 % (780234)Instruction limit reached!
% 1.67/0.56 % (780234)------------------------------
% 1.67/0.56 % (780234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.67/0.56 % (780234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.67/0.56 % (780234)CaDiCaL version: 2.1.3
% 1.67/0.56 % (780234)Termination reason: Instruction limit
% 1.67/0.56 % (780234)Termination phase: Saturation
% 1.67/0.56 % (780234)Time elapsed: 0.006 s
% 1.67/0.56 % (780234)Peak memory usage: 11 MB
% 1.67/0.56 % (780234)Instructions burned: 27 (million)
% 1.67/0.56 % (780229)Instruction limit reached!
% 1.67/0.56 % (780229)------------------------------
% 1.67/0.56 % (780229)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.67/0.56 % (780229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.67/0.56 % (780229)CaDiCaL version: 2.1.3
% 1.67/0.56 % (780229)Termination reason: Instruction limit
% 1.67/0.56 % (780229)Termination phase: Saturation
% 1.67/0.56 % (780229)Time elapsed: 0.016 s
% 1.67/0.56 % (780229)Peak memory usage: 12 MB
% 1.67/0.56 % (780229)Instructions burned: 32 (million)
% 1.67/0.56 % (780225)Instruction limit reached!
% 1.67/0.56 % (780225)------------------------------
% 1.67/0.56 % (780225)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.67/0.56 % (780225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.67/0.56 % (780225)CaDiCaL version: 2.1.3
% 1.67/0.56 % (780225)Termination reason: Instruction limit
% 1.67/0.56 % (780225)Termination phase: Saturation
% 1.67/0.56 % (780225)Time elapsed: 0.024 s
% 1.67/0.56 % (780225)Peak memory usage: 12 MB
% 1.67/0.56 % (780225)Instructions burned: 61 (million)
% 1.67/0.56 % (780241)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3236620428:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.67/0.56 % (780239)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3831480707:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.67/0.56 % (780240)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1703906563:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.67/0.56 % (780242)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2029088984:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.67/0.56 % (780242)Refutation not found, incomplete strategy
% 1.67/0.56 % (780242)------------------------------
% 1.67/0.56 % (780242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.67/0.56 % (780242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.67/0.56 % (780242)CaDiCaL version: 2.1.3
% 1.67/0.56 % (780242)Termination reason: Refutation not found, incomplete strategy
% 1.67/0.56 % (780242)Time elapsed: 0.001 s
% 1.67/0.56 % (780242)Peak memory usage: 11 MB
% 1.67/0.56 % (780242)------------------------------
% 1.67/0.56 % (780242)------------------------------
% 1.67/0.56 % (780244)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.67/0.56 % (780239)Instruction limit reached!
% 1.67/0.56 % (780239)------------------------------
% 1.67/0.56 % (780239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.67/0.56 % (780239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.67/0.56 % (780239)CaDiCaL version: 2.1.3
% 1.67/0.56 % (780239)Termination reason: Instruction limit
% 1.67/0.56 % (780239)Termination phase: Saturation
% 1.67/0.56 % (780239)Time elapsed: 0.012 s
% 1.67/0.56 % (780239)Peak memory usage: 12 MB
% 1.67/0.56 % (780239)Instructions burned: 22 (million)
% 1.67/0.56 % (780243)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2942430285:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.67/0.56 % (780244)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2020638660:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.67/0.56 % (780244)Instruction limit reached!
% 1.67/0.56 % (780244)------------------------------
% 1.67/0.56 % (780244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.67/0.56 % (780244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.16/0.62 % (780244)CaDiCaL version: 2.1.3
% 2.16/0.62 % (780244)Termination reason: Instruction limit
% 2.16/0.62 % (780244)Termination phase: Saturation
% 2.16/0.62 % (780244)Time elapsed: 0.005 s
% 2.16/0.62 % (780244)Peak memory usage: 12 MB
% 2.16/0.62 % (780244)Instructions burned: 8 (million)
% 2.16/0.62 % (780249)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=604188472:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 2.16/0.62 % (780249)Refutation not found, incomplete strategy
% 2.16/0.62 % (780249)------------------------------
% 2.16/0.62 % (780249)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.16/0.62 % (780249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.16/0.62 % (780249)CaDiCaL version: 2.1.3
% 2.16/0.62 % (780249)Termination reason: Refutation not found, incomplete strategy
% 2.16/0.62 % (780249)Time elapsed: 0.001 s
% 2.16/0.62 % (780249)Peak memory usage: 11 MB
% 2.16/0.62 % (780249)------------------------------
% 2.16/0.62 % (780249)------------------------------
% 2.16/0.62 % (780250)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=2189115982:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.16/0.62 % (780250)Refutation not found, incomplete strategy
% 2.16/0.62 % (780250)------------------------------
% 2.16/0.62 % (780250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.16/0.62 % (780250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.16/0.62 % (780250)CaDiCaL version: 2.1.3
% 2.16/0.62 % (780250)Termination reason: Refutation not found, incomplete strategy
% 2.16/0.62 % (780250)Time elapsed: 0.0000 s
% 2.16/0.62 % (780250)Peak memory usage: 11 MB
% 2.16/0.62 % (780250)------------------------------
% 2.16/0.62 % (780250)------------------------------
% 2.16/0.62 % (780241)Instruction limit reached!
% 2.16/0.62 % (780241)------------------------------
% 2.16/0.62 % (780241)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.16/0.62 % (780241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.16/0.62 % (780241)CaDiCaL version: 2.1.3
% 2.16/0.62 % (780241)Termination reason: Instruction limit
% 2.16/0.62 % (780241)Termination phase: Saturation
% 2.16/0.62 % (780241)Time elapsed: 0.035 s
% 2.16/0.62 % (780241)Peak memory usage: 12 MB
% 2.16/0.62 % (780241)Instructions burned: 161 (million)
% 2.16/0.62 % (780253)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.16/0.62 % (780253)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2049620380:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.16/0.62 % (780253)Refutation not found, incomplete strategy
% 2.16/0.62 % (780253)------------------------------
% 2.16/0.62 % (780253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.16/0.62 % (780253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.16/0.62 % (780253)CaDiCaL version: 2.1.3
% 2.16/0.62 % (780253)Termination reason: Refutation not found, incomplete strategy
% 2.16/0.62 % (780253)Time elapsed: 0.001 s
% 2.16/0.62 % (780253)Peak memory usage: 11 MB
% 2.16/0.62 % (780253)Instructions burned: 1 (million)
% 2.16/0.62 % (780253)------------------------------
% 2.16/0.62 % (780253)------------------------------
% 2.16/0.62 % (780258)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=3593327338:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.16/0.62 % (780243)Instruction limit reached!
% 2.16/0.62 % (780243)------------------------------
% 2.16/0.62 % (780243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.16/0.62 % (780243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.16/0.62 % (780243)CaDiCaL version: 2.1.3
% 2.16/0.62 % (780243)Termination reason: Instruction limit
% 2.16/0.62 % (780243)Termination phase: Saturation
% 2.16/0.62 % (780255)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1753182815:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.16/0.62 % (780243)Time elapsed: 0.032 s
% 2.16/0.62 % (780243)Peak memory usage: 12 MB
% 2.55/0.66 % (780243)Instructions burned: 43 (million)
% 2.55/0.66 % (780257)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3080502792:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.55/0.66 % (780257)Refutation not found, incomplete strategy
% 2.55/0.66 % (780257)------------------------------
% 2.55/0.66 % (780257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.66 % (780257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.66 % (780257)CaDiCaL version: 2.1.3
% 2.55/0.66 % (780257)Termination reason: Refutation not found, incomplete strategy
% 2.55/0.66 % (780257)Time elapsed: 0.002 s
% 2.55/0.66 % (780257)Peak memory usage: 12 MB
% 2.55/0.66 % (780257)Instructions burned: 2 (million)
% 2.55/0.66 % (780257)------------------------------
% 2.55/0.66 % (780257)------------------------------
% 2.55/0.66 % (780255)Instruction limit reached!
% 2.55/0.66 % (780255)------------------------------
% 2.55/0.66 % (780255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.66 % (780255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.66 % (780255)CaDiCaL version: 2.1.3
% 2.55/0.66 % (780255)Termination reason: Instruction limit
% 2.55/0.66 % (780255)Termination phase: Saturation
% 2.55/0.66 % (780255)Time elapsed: 0.011 s
% 2.55/0.66 % (780255)Peak memory usage: 12 MB
% 2.55/0.66 % (780255)Instructions burned: 23 (million)
% 2.55/0.66 % (780260)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=2685571158: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)
% 2.55/0.66 % (780265)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1181696156:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.55/0.66 % (780265)Refutation not found, incomplete strategy
% 2.55/0.66 % (780265)------------------------------
% 2.55/0.66 % (780265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.66 % (780265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.66 % (780265)CaDiCaL version: 2.1.3
% 2.55/0.66 % (780265)Termination reason: Refutation not found, incomplete strategy
% 2.55/0.66 % (780265)Time elapsed: 0.001 s
% 2.55/0.66 % (780265)Peak memory usage: 11 MB
% 2.55/0.66 % (780265)Instructions burned: 1 (million)
% 2.55/0.66 % (780265)------------------------------
% 2.55/0.66 % (780265)------------------------------
% 2.55/0.66 % (780266)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=333954166: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)
% 2.55/0.66 % (780263)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=1686988574: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)
% 2.55/0.66 % (780266)Instruction limit reached!
% 2.55/0.66 % (780266)------------------------------
% 2.55/0.66 % (780266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.66 % (780266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.66 % (780266)CaDiCaL version: 2.1.3
% 2.55/0.66 % (780266)Termination reason: Instruction limit
% 2.55/0.66 % (780266)Termination phase: Saturation
% 2.55/0.66 % (780266)Time elapsed: 0.012 s
% 2.55/0.66 % (780266)Peak memory usage: 12 MB
% 2.55/0.66 % (780266)Instructions burned: 21 (million)
% 2.55/0.66 % (780269)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.55/0.66 % (780269)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3973114935:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/200Mi)
% 2.55/0.66 % (780272)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=91926174:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/13Mi)
% 2.55/0.66 % (780272)Instruction limit reached!
% 2.55/0.66 % (780272)------------------------------
% 2.55/0.66 % (780272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.66 % (780272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.69 % (780272)CaDiCaL version: 2.1.3
% 2.55/0.69 % (780272)Termination reason: Instruction limit
% 2.55/0.69 % (780272)Termination phase: Saturation
% 2.55/0.69 % (780272)Time elapsed: 0.008 s
% 2.55/0.69 % (780272)Peak memory usage: 12 MB
% 2.55/0.69 % (780272)Instructions burned: 13 (million)
% 2.55/0.69 % (780263)Instruction limit reached!
% 2.55/0.69 % (780263)------------------------------
% 2.55/0.69 % (780263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.69 % (780263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.69 % (780263)CaDiCaL version: 2.1.3
% 2.55/0.69 % (780263)Termination reason: Instruction limit
% 2.55/0.69 % (780263)Termination phase: Saturation
% 2.55/0.69 % (780263)Time elapsed: 0.042 s
% 2.55/0.69 % (780263)Peak memory usage: 12 MB
% 2.55/0.69 % (780263)Instructions burned: 45 (million)
% 2.55/0.69 % (780275)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=183387221:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 2.55/0.69 % (780182)Instruction limit reached!
% 2.55/0.69 % (780182)------------------------------
% 2.55/0.69 % (780182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.69 % (780182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.69 % (780182)CaDiCaL version: 2.1.3
% 2.55/0.69 % (780182)Termination reason: Instruction limit
% 2.55/0.69 % (780182)Termination phase: Saturation
% 2.55/0.69 % (780182)Time elapsed: 0.281 s
% 2.55/0.69 % (780182)Peak memory usage: 13 MB
% 2.55/0.69 % (780182)Instructions burned: 636 (million)
% 2.55/0.69 % (780258)Instruction limit reached!
% 2.55/0.69 % (780258)------------------------------
% 2.55/0.69 % (780258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.69 % (780258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.69 % (780258)CaDiCaL version: 2.1.3
% 2.55/0.69 % (780258)Termination reason: Instruction limit
% 2.55/0.69 % (780258)Termination phase: Saturation
% 2.55/0.69 % (780258)Time elapsed: 0.097 s
% 2.55/0.69 % (780258)Peak memory usage: 13 MB
% 2.55/0.69 % (780258)Instructions burned: 318 (million)
% 2.55/0.69 % (780276)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=1944086614:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 2.55/0.69 % (780276)Refutation not found, incomplete strategy
% 2.55/0.69 % (780276)------------------------------
% 2.55/0.69 % (780276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.69 % (780276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.69 % (780276)CaDiCaL version: 2.1.3
% 2.55/0.69 % (780276)Termination reason: Refutation not found, incomplete strategy
% 2.55/0.69 % (780276)Time elapsed: 0.002 s
% 2.55/0.69 % (780276)Peak memory usage: 11 MB
% 2.55/0.69 % (780276)Instructions burned: 1 (million)
% 2.55/0.69 % (780276)------------------------------
% 2.55/0.69 % (780276)------------------------------
% 2.55/0.69 % (780278)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3417076997:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 2.55/0.69 % (780275)Instruction limit reached!
% 2.55/0.69 % (780275)------------------------------
% 2.55/0.69 % (780275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.69 % (780275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.69 % (780275)CaDiCaL version: 2.1.3
% 2.55/0.69 % (780275)Termination reason: Instruction limit
% 2.55/0.69 % (780275)Termination phase: Saturation
% 2.55/0.69 % (780275)Time elapsed: 0.031 s
% 2.55/0.69 % (780275)Peak memory usage: 12 MB
% 2.55/0.69 % (780275)Instructions burned: 66 (million)
% 2.55/0.69 % (780279)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=3893183424:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2996 on theBenchmark for (2996ds/137Mi)
% 2.55/0.69 % (780281)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=2556438667:cond=on:i=34:hud=10:nm=10:rtra=on_2996 on theBenchmark for (2996ds/34Mi)
% 2.55/0.69 % (780281)Instruction limit reached!
% 2.55/0.69 % (780281)------------------------------
% 2.55/0.69 % (780281)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.69 % (780281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.01/0.74 % (780281)CaDiCaL version: 2.1.3
% 3.01/0.74 % (780281)Termination reason: Instruction limit
% 3.01/0.74 % (780281)Termination phase: Saturation
% 3.01/0.74 % (780281)Time elapsed: 0.009 s
% 3.01/0.74 % (780281)Peak memory usage: 12 MB
% 3.01/0.74 % (780281)Instructions burned: 34 (million)
% 3.01/0.74 % (780269)Instruction limit reached!
% 3.01/0.74 % (780269)------------------------------
% 3.01/0.74 % (780269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.01/0.74 % (780269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.01/0.74 % (780269)CaDiCaL version: 2.1.3
% 3.01/0.74 % (780269)Termination reason: Instruction limit
% 3.01/0.74 % (780269)Termination phase: Saturation
% 3.01/0.74 % (780269)Time elapsed: 0.088 s
% 3.01/0.74 % (780269)Peak memory usage: 12 MB
% 3.01/0.74 % (780269)Instructions burned: 202 (million)
% 3.01/0.74 % (780278)Instruction limit reached!
% 3.01/0.74 % (780278)------------------------------
% 3.01/0.74 % (780278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.01/0.74 % (780283)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=305711463:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2996 on theBenchmark for (2996ds/67Mi)
% 3.01/0.75 % (780278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.01/0.75 % (780278)CaDiCaL version: 2.1.3
% 3.01/0.75 % (780278)Termination reason: Instruction limit
% 3.01/0.75 % (780278)Termination phase: Saturation
% 3.01/0.75 % (780278)Time elapsed: 0.024 s
% 3.01/0.75 % (780278)Peak memory usage: 12 MB
% 3.01/0.75 % (780278)Instructions burned: 31 (million)
% 3.01/0.75 % (780283)Refutation not found, incomplete strategy
% 3.01/0.75 % (780283)------------------------------
% 3.01/0.75 % (780283)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.01/0.75 % (780283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.01/0.75 % (780283)CaDiCaL version: 2.1.3
% 3.01/0.75 % (780283)Termination reason: Refutation not found, incomplete strategy
% 3.01/0.75 % (780283)Time elapsed: 0.001 s
% 3.01/0.75 % (780283)Peak memory usage: 11 MB
% 3.01/0.75 % (780283)Instructions burned: 1 (million)
% 3.01/0.75 % (780283)------------------------------
% 3.01/0.75 % (780283)------------------------------
% 3.01/0.75 % (780286)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.01/0.75 % (780286)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=2036163084:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2996 on theBenchmark for (2996ds/180Mi)
% 3.01/0.75 % (780287)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=3622285204:st=2:i=246:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/246Mi)
% 3.01/0.75 % (780287)Refutation not found, incomplete strategy
% 3.01/0.75 % (780287)------------------------------
% 3.01/0.75 % (780287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.01/0.75 % (780287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.01/0.75 % (780287)CaDiCaL version: 2.1.3
% 3.01/0.75 % (780287)Termination reason: Refutation not found, incomplete strategy
% 3.01/0.75 % (780287)Time elapsed: 0.001 s
% 3.01/0.75 % (780287)Peak memory usage: 11 MB
% 3.01/0.75 % (780287)------------------------------
% 3.01/0.75 % (780287)------------------------------
% 3.01/0.75 % (780289)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=2374491684:cond=on:i=96:bd=all:rtra=on_2996 on theBenchmark for (2996ds/96Mi)
% 3.01/0.75 % (780290)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=1331473189:i=427:sd=1:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/427Mi)
% 3.01/0.75 % (780290)Refutation not found, incomplete strategy
% 3.01/0.75 % (780290)------------------------------
% 3.01/0.75 % (780290)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.01/0.75 % (780290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.01/0.75 % (780290)CaDiCaL version: 2.1.3
% 3.01/0.75 % (780290)Termination reason: Refutation not found, incomplete strategy
% 3.01/0.75 % (780290)Time elapsed: 0.001 s
% 3.01/0.75 % (780290)Peak memory usage: 11 MB
% 3.01/0.75 % (780290)------------------------------
% 3.01/0.75 % (780290)------------------------------
% 3.01/0.75 % (780293)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2629678152:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/874Mi)
% 3.01/0.75 % (780293)Refutation not found, incomplete strategy
% 3.65/0.81 % (780293)------------------------------
% 3.65/0.81 % (780293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.65/0.81 % (780293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/0.81 % (780293)CaDiCaL version: 2.1.3
% 3.65/0.81 % (780293)Termination reason: Refutation not found, incomplete strategy
% 3.65/0.81 % (780293)Time elapsed: 0.001 s
% 3.65/0.81 % (780293)Peak memory usage: 11 MB
% 3.65/0.81 % (780293)------------------------------
% 3.65/0.81 % (780293)------------------------------
% 3.65/0.81 % (780279)Instruction limit reached!
% 3.65/0.81 % (780279)------------------------------
% 3.65/0.81 % (780279)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.65/0.81 % (780279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/0.81 % (780279)CaDiCaL version: 2.1.3
% 3.65/0.81 % (780279)Termination reason: Instruction limit
% 3.65/0.81 % (780279)Termination phase: Saturation
% 3.65/0.81 % (780279)Time elapsed: 0.055 s
% 3.65/0.81 % (780279)Peak memory usage: 12 MB
% 3.65/0.81 % (780279)Instructions burned: 140 (million)
% 3.65/0.81 % (780296)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3070659311:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/515Mi)
% 3.65/0.81 % (780296)Refutation not found, incomplete strategy
% 3.65/0.81 % (780296)------------------------------
% 3.65/0.81 % (780296)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.65/0.81 % (780296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/0.81 % (780296)CaDiCaL version: 2.1.3
% 3.65/0.81 % (780296)Termination reason: Refutation not found, incomplete strategy
% 3.65/0.81 % (780296)Time elapsed: 0.001 s
% 3.65/0.81 % (780296)Peak memory usage: 12 MB
% 3.65/0.81 % (780296)------------------------------
% 3.65/0.81 % (780296)------------------------------
% 3.65/0.81 % (780286)Instruction limit reached!
% 3.65/0.81 % (780286)------------------------------
% 3.65/0.81 % (780286)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.65/0.81 % (780286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/0.81 % (780286)CaDiCaL version: 2.1.3
% 3.65/0.81 % (780286)Termination reason: Instruction limit
% 3.65/0.81 % (780286)Termination phase: Saturation
% 3.65/0.81 % (780286)Time elapsed: 0.042 s
% 3.65/0.81 % (780286)Peak memory usage: 12 MB
% 3.65/0.81 % (780286)Instructions burned: 182 (million)
% 3.65/0.81 % (780298)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=287742439:st=1.5:i=130:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/130Mi)
% 3.65/0.81 % (780299)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2834718764:i=44:ep=R:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/44Mi)
% 3.65/0.81 % (780298)Refutation not found, incomplete strategy
% 3.65/0.81 % (780298)------------------------------
% 3.65/0.81 % (780298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.65/0.81 % (780298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/0.81 % (780298)CaDiCaL version: 2.1.3
% 3.65/0.81 % (780298)Termination reason: Refutation not found, incomplete strategy
% 3.65/0.81 % (780298)Time elapsed: 0.001 s
% 3.65/0.81 % (780298)Peak memory usage: 11 MB
% 3.65/0.81 % (780298)Instructions burned: 1 (million)
% 3.65/0.81 % (780298)------------------------------
% 3.65/0.81 % (780298)------------------------------
% 3.65/0.81 % (780302)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=4046889463:i=450:rtra=on:ixr=off:ntd=on_2995 on theBenchmark for (2995ds/450Mi)
% 3.65/0.81 % (780301)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=3420721846:s2a=on:i=571:nm=16:rtra=on_2995 on theBenchmark for (2995ds/571Mi)
% 3.65/0.81 % (780301)Refutation not found, incomplete strategy
% 3.65/0.81 % (780301)------------------------------
% 3.65/0.81 % (780301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.65/0.81 % (780301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/0.81 % (780301)CaDiCaL version: 2.1.3
% 3.65/0.81 % (780301)Termination reason: Refutation not found, incomplete strategy
% 3.65/0.81 % (780301)Time elapsed: 0.001 s
% 3.65/0.81 % (780301)Peak memory usage: 12 MB
% 3.65/0.81 % (780301)Instructions burned: 1 (million)
% 3.65/0.81 % (780301)------------------------------
% 4.00/0.90 % (780301)------------------------------
% 4.00/0.90 % (780289)Instruction limit reached!
% 4.00/0.90 % (780289)------------------------------
% 4.00/0.90 % (780289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.00/0.90 % (780289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/0.90 % (780289)CaDiCaL version: 2.1.3
% 4.00/0.90 % (780289)Termination reason: Instruction limit
% 4.00/0.90 % (780289)Termination phase: Saturation
% 4.00/0.90 % (780289)Time elapsed: 0.047 s
% 4.00/0.90 % (780289)Peak memory usage: 12 MB
% 4.00/0.90 % (780289)Instructions burned: 97 (million)
% 4.00/0.90 % (780306)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=1058811188:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/95Mi)
% 4.00/0.90 % (780299)Instruction limit reached!
% 4.00/0.90 % (780299)------------------------------
% 4.00/0.90 % (780299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.00/0.90 % (780299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/0.90 % (780299)CaDiCaL version: 2.1.3
% 4.00/0.90 % (780299)Termination reason: Instruction limit
% 4.00/0.90 % (780299)Termination phase: Saturation
% 4.00/0.90 % (780299)Time elapsed: 0.023 s
% 4.00/0.90 % (780299)Peak memory usage: 12 MB
% 4.00/0.90 % (780299)Instructions burned: 45 (million)
% 4.00/0.90 % (780308)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=1905458524:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2995 on theBenchmark for (2995ds/65Mi)
% 4.00/0.90 % (780309)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=4045041569: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)
% 4.00/0.90 % (780311)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=2727515749: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)
% 4.00/0.90 % (780311)Refutation not found, incomplete strategy
% 4.00/0.90 % (780311)------------------------------
% 4.00/0.90 % (780311)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.00/0.90 % (780311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/0.90 % (780311)CaDiCaL version: 2.1.3
% 4.00/0.90 % (780311)Termination reason: Refutation not found, incomplete strategy
% 4.00/0.90 % (780311)Time elapsed: 0.001 s
% 4.00/0.90 % (780311)Peak memory usage: 12 MB
% 4.00/0.90 % (780311)------------------------------
% 4.00/0.90 % (780311)------------------------------
% 4.00/0.90 % (780308)Instruction limit reached!
% 4.00/0.90 % (780308)------------------------------
% 4.00/0.90 % (780308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.00/0.90 % (780308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/0.90 % (780308)CaDiCaL version: 2.1.3
% 4.00/0.90 % (780308)Termination reason: Instruction limit
% 4.00/0.90 % (780308)Termination phase: Saturation
% 4.00/0.90 % (780308)Time elapsed: 0.031 s
% 4.00/0.90 % (780308)Peak memory usage: 12 MB
% 4.00/0.90 % (780308)Instructions burned: 67 (million)
% 4.00/0.90 % (780306)Instruction limit reached!
% 4.00/0.90 % (780306)------------------------------
% 4.00/0.90 % (780306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.00/0.90 % (780306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/0.90 % (780306)CaDiCaL version: 2.1.3
% 4.00/0.90 % (780306)Termination reason: Instruction limit
% 4.00/0.90 % (780306)Termination phase: Saturation
% 4.00/0.90 % (780306)Time elapsed: 0.041 s
% 4.00/0.90 % (780306)Peak memory usage: 12 MB
% 4.00/0.90 % (780306)Instructions burned: 95 (million)
% 4.00/0.90 % (780315)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=1549051696:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/375Mi)
% 4.00/0.90 % (780315)Refutation not found, incomplete strategy
% 4.00/0.90 % (780315)------------------------------
% 4.00/0.90 % (780315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.00/0.90 % (780315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/0.97 % (780315)CaDiCaL version: 2.1.3
% 4.00/0.97 % (780315)Termination reason: Refutation not found, incomplete strategy
% 4.00/0.97 % (780315)Time elapsed: 0.0000 s
% 4.00/0.97 % (780315)Peak memory usage: 11 MB
% 4.00/0.97 % (780315)------------------------------
% 4.00/0.97 % (780315)------------------------------
% 4.00/0.97 % (780316)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3368505932:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2995 on theBenchmark for (2995ds/495Mi)
% 4.00/0.97 % (780317)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=1450461526:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 4.00/0.97 % (780319)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=3304178501:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2995 on theBenchmark for (2995ds/91Mi)
% 4.00/0.97 % (780302)Instruction limit reached!
% 4.00/0.97 % (780302)------------------------------
% 4.00/0.97 % (780302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.00/0.97 % (780302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/0.97 % (780302)CaDiCaL version: 2.1.3
% 4.00/0.97 % (780302)Termination reason: Instruction limit
% 4.00/0.97 % (780302)Termination phase: Saturation
% 4.00/0.97 % (780302)Time elapsed: 0.089 s
% 4.00/0.97 % (780302)Peak memory usage: 12 MB
% 4.00/0.97 % (780302)Instructions burned: 453 (million)
% 4.00/0.97 % (780317)Instruction limit reached!
% 4.00/0.97 % (780317)------------------------------
% 4.00/0.97 % (780317)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.00/0.97 % (780317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/0.97 % (780317)CaDiCaL version: 2.1.3
% 4.00/0.97 % (780317)Termination reason: Instruction limit
% 4.00/0.97 % (780317)Termination phase: Saturation
% 4.00/0.97 % (780317)Time elapsed: 0.019 s
% 4.00/0.97 % (780317)Peak memory usage: 12 MB
% 4.00/0.97 % (780317)Instructions burned: 36 (million)
% 4.00/0.97 % (780309)Instruction limit reached!
% 4.00/0.97 % (780309)------------------------------
% 4.00/0.97 % (780309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.00/0.97 % (780309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/0.97 % (780309)CaDiCaL version: 2.1.3
% 4.00/0.97 % (780309)Termination reason: Instruction limit
% 4.00/0.97 % (780309)Termination phase: Saturation
% 4.00/0.97 % (780309)Time elapsed: 0.072 s
% 4.00/0.97 % (780309)Peak memory usage: 12 MB
% 4.00/0.97 % (780309)Instructions burned: 106 (million)
% 4.00/0.97 % (780323)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=1424116112:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2994 on theBenchmark for (2994ds/66Mi)
% 4.00/0.97 % (780323)Refutation not found, incomplete strategy
% 4.00/0.97 % (780323)------------------------------
% 4.00/0.97 % (780323)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.00/0.97 % (780323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/0.97 % (780323)CaDiCaL version: 2.1.3
% 4.00/0.97 % (780323)Termination reason: Refutation not found, incomplete strategy
% 4.00/0.97 % (780323)Time elapsed: 0.0000 s
% 4.00/0.97 % (780323)Peak memory usage: 11 MB
% 4.00/0.97 % (780323)------------------------------
% 4.00/0.97 % (780323)------------------------------
% 4.00/0.97 % (780324)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2232827536:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2994 on theBenchmark for (2994ds/22Mi)
% 4.00/0.97 % (780319)Instruction limit reached!
% 4.00/0.97 % (780319)------------------------------
% 4.00/0.97 % (780319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.00/0.97 % (780319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/0.97 % (780319)CaDiCaL version: 2.1.3
% 4.00/0.97 % (780319)Termination reason: Instruction limit
% 4.00/0.97 % (780319)Termination phase: Saturation
% 4.00/0.97 % (780319)Time elapsed: 0.041 s
% 4.00/0.97 % (780327)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2421091244:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2994 on theBenchmark for (2994ds/28Mi)
% 4.00/0.97 % (780319)Peak memory usage: 12 MB
% 4.00/0.97 % (780319)Instructions burned: 92 (million)
% 4.00/0.97 % (780327)Refutation not found, incomplete strategy
% 4.00/0.97 % (780327)------------------------------
% 4.00/0.97 % (780327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.00/1.04 % (780327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/1.04 % (780327)CaDiCaL version: 2.1.3
% 4.00/1.04 % (780327)Termination reason: Refutation not found, incomplete strategy
% 4.00/1.04 % (780327)Time elapsed: 0.0000 s
% 4.00/1.04 % (780327)Peak memory usage: 11 MB
% 4.00/1.04 % (780327)------------------------------
% 4.00/1.04 % (780327)------------------------------
% 4.00/1.04 % (780325)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=2066163629:i=338:bd=all:ins=4:rtra=on_2994 on theBenchmark for (2994ds/338Mi)
% 4.00/1.04 % (780324)Instruction limit reached!
% 4.00/1.04 % (780324)------------------------------
% 4.00/1.04 % (780324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.00/1.04 % (780324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/1.04 % (780324)CaDiCaL version: 2.1.3
% 4.00/1.04 % (780324)Termination reason: Instruction limit
% 4.00/1.04 % (780324)Termination phase: Saturation
% 4.00/1.04 % (780324)Time elapsed: 0.011 s
% 4.00/1.04 % (780324)Peak memory usage: 12 MB
% 4.00/1.04 % (780324)Instructions burned: 22 (million)
% 4.00/1.04 % (780332)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=2212841745:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2994 on theBenchmark for (2994ds/340Mi)
% 4.00/1.04 % (780330)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 4.00/1.04 % (780330)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=863888555: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)
% 4.00/1.04 % (780260)Instruction limit reached!
% 4.00/1.04 % (780260)------------------------------
% 4.00/1.04 % (780260)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.00/1.04 % (780260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/1.04 % (780260)CaDiCaL version: 2.1.3
% 4.00/1.04 % (780260)Termination reason: Instruction limit
% 4.00/1.04 % (780260)Termination phase: Saturation
% 4.00/1.04 % (780260)Time elapsed: 0.319 s
% 4.00/1.04 % (780260)Peak memory usage: 13 MB
% 4.00/1.04 % (780260)Instructions burned: 855 (million)
% 4.00/1.04 % (780333)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=659322629:i=227:sd=1:bd=all:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/227Mi)
% 4.00/1.04 % (780333)Refutation not found, incomplete strategy
% 4.00/1.04 % (780333)------------------------------
% 4.00/1.04 % (780333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.00/1.04 % (780333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/1.04 % (780333)CaDiCaL version: 2.1.3
% 4.00/1.04 % (780333)Termination reason: Refutation not found, incomplete strategy
% 4.00/1.04 % (780333)Time elapsed: 0.0000 s
% 4.00/1.04 % (780333)Peak memory usage: 11 MB
% 4.00/1.04 % (780333)------------------------------
% 4.00/1.04 % (780333)------------------------------
% 4.00/1.04 % (780336)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 4.00/1.04 % (780336)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=294282792:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/373Mi)
% 4.00/1.04 % (780338)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=2042839944:i=116:ep=RSTC:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/116Mi)
% 4.00/1.04 % (780330)Instruction limit reached!
% 4.00/1.04 % (780330)------------------------------
% 4.00/1.04 % (780330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.00/1.04 % (780330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/1.04 % (780330)CaDiCaL version: 2.1.3
% 4.00/1.04 % (780330)Termination reason: Instruction limit
% 4.00/1.04 % (780330)Termination phase: Saturation
% 4.00/1.04 % (780330)Time elapsed: 0.061 s
% 4.00/1.04 % (780330)Peak memory usage: 13 MB
% 4.00/1.04 % (780330)Instructions burned: 138 (million)
% 4.00/1.04 % (780338)Instruction limit reached!
% 4.00/1.04 % (780338)------------------------------
% 4.00/1.04 % (780338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.50/1.08 % (780338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.08 % (780338)CaDiCaL version: 2.1.3
% 5.50/1.08 % (780338)Termination reason: Instruction limit
% 5.50/1.08 % (780338)Termination phase: Saturation
% 5.50/1.08 % (780338)Time elapsed: 0.051 s
% 5.50/1.08 % (780338)Peak memory usage: 12 MB
% 5.50/1.08 % (780338)Instructions burned: 119 (million)
% 5.50/1.08 % (780332)Instruction limit reached!
% 5.50/1.08 % (780332)------------------------------
% 5.50/1.08 % (780332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.50/1.08 % (780332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.08 % (780332)CaDiCaL version: 2.1.3
% 5.50/1.08 % (780332)Termination reason: Instruction limit
% 5.50/1.08 % (780332)Termination phase: Saturation
% 5.50/1.08 % (780332)Time elapsed: 0.087 s
% 5.50/1.08 % (780332)Peak memory usage: 13 MB
% 5.50/1.08 % (780332)Instructions burned: 342 (million)
% 5.50/1.08 % (780341)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=2453527212:i=575:rtra=on_2993 on theBenchmark for (2993ds/575Mi)
% 5.50/1.08 % (780341)Refutation not found, incomplete strategy
% 5.50/1.08 % (780341)------------------------------
% 5.50/1.08 % (780341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.50/1.08 % (780341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.08 % (780341)CaDiCaL version: 2.1.3
% 5.50/1.08 % (780341)Termination reason: Refutation not found, incomplete strategy
% 5.50/1.08 % (780341)Time elapsed: 0.001 s
% 5.50/1.08 % (780341)Peak memory usage: 11 MB
% 5.50/1.08 % (780341)Instructions burned: 1 (million)
% 5.50/1.08 % (780341)------------------------------
% 5.50/1.08 % (780341)------------------------------
% 5.50/1.08 % (780240)Instruction limit reached!
% 5.50/1.08 % (780240)------------------------------
% 5.50/1.08 % (780240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.50/1.08 % (780240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.08 % (780240)CaDiCaL version: 2.1.3
% 5.50/1.08 % (780240)Termination reason: Instruction limit
% 5.50/1.08 % (780240)Termination phase: Saturation
% 5.50/1.08 % (780240)Time elapsed: 0.474 s
% 5.50/1.08 % (780240)Peak memory usage: 12 MB
% 5.50/1.08 % (780240)Instructions burned: 1240 (million)
% 5.50/1.08 % (780343)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=1870443525: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)
% 5.50/1.08 % (780342)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=247403462: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)
% 5.50/1.08 % (780345)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=1476355436:i=421:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/421Mi)
% 5.50/1.08 % (780345)Refutation not found, incomplete strategy
% 5.50/1.08 % (780345)------------------------------
% 5.50/1.08 % (780345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.50/1.08 % (780345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.08 % (780345)CaDiCaL version: 2.1.3
% 5.50/1.08 % (780345)Termination reason: Refutation not found, incomplete strategy
% 5.50/1.08 % (780345)Time elapsed: 0.001 s
% 5.50/1.08 % (780345)Peak memory usage: 11 MB
% 5.50/1.08 % (780345)------------------------------
% 5.50/1.08 % (780345)------------------------------
% 5.50/1.08 % (780347)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
% 5.50/1.08 % (780347)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=4073757926:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/270Mi)
% 5.50/1.08 % (780350)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=96020712:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/31Mi)
% 5.50/1.08 % (780350)Instruction limit reached!
% 5.50/1.13 % (780350)------------------------------
% 5.50/1.13 % (780350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.50/1.13 % (780350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.13 % (780350)CaDiCaL version: 2.1.3
% 5.50/1.13 % (780350)Termination reason: Instruction limit
% 5.50/1.13 % (780350)Termination phase: Saturation
% 5.50/1.13 % (780350)Time elapsed: 0.017 s
% 5.50/1.13 % (780350)Peak memory usage: 12 MB
% 5.50/1.13 % (780350)Instructions burned: 33 (million)
% 5.50/1.13 % (780353)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 5.50/1.13 % (780353)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
% 5.50/1.13 % (780316)Instruction limit reached!
% 5.50/1.13 % (780316)------------------------------
% 5.50/1.13 % (780316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.50/1.13 % (780316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.13 % (780316)CaDiCaL version: 2.1.3
% 5.50/1.13 % (780316)Termination reason: Instruction limit
% 5.50/1.13 % (780316)Termination phase: Saturation
% 5.50/1.13 % (780316)Time elapsed: 0.223 s
% 5.50/1.13 % (780316)Peak memory usage: 13 MB
% 5.50/1.13 % (780316)Instructions burned: 495 (million)
% 5.50/1.13 % (780353)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=2764861007:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2992 on theBenchmark for (2992ds/1440Mi)
% 5.50/1.13 % (780354)dis+10_2_sil=128000:si=on:random_seed=4223509801:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2992 on theBenchmark for (2992ds/339Mi)
% 5.50/1.13 % (780354)Refutation not found, incomplete strategy
% 5.50/1.13 % (780354)------------------------------
% 5.50/1.13 % (780354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.50/1.13 % (780354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.13 % (780354)CaDiCaL version: 2.1.3
% 5.50/1.13 % (780354)Termination reason: Refutation not found, incomplete strategy
% 5.50/1.13 % (780354)Time elapsed: 0.0000 s
% 5.50/1.13 % (780354)Peak memory usage: 11 MB
% 5.50/1.13 % (780354)------------------------------
% 5.50/1.13 % (780354)------------------------------
% 5.50/1.13 % (780325)Instruction limit reached!
% 5.50/1.13 % (780325)------------------------------
% 5.50/1.13 % (780325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.50/1.13 % (780325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.13 % (780325)CaDiCaL version: 2.1.3
% 5.50/1.13 % (780325)Termination reason: Instruction limit
% 5.50/1.13 % (780325)Termination phase: Saturation
% 5.50/1.13 % (780325)Time elapsed: 0.207 s
% 5.50/1.13 % (780325)Peak memory usage: 14 MB
% 5.50/1.13 % (780325)Instructions burned: 338 (million)
% 5.50/1.13 % (780336)Instruction limit reached!
% 5.50/1.13 % (780336)------------------------------
% 5.50/1.13 % (780336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.50/1.13 % (780336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.13 % (780336)CaDiCaL version: 2.1.3
% 5.50/1.13 % (780336)Termination reason: Instruction limit
% 5.50/1.13 % (780336)Termination phase: Saturation
% 5.50/1.13 % (780336)Time elapsed: 0.176 s
% 5.50/1.13 % (780336)Peak memory usage: 12 MB
% 5.50/1.13 % (780336)Instructions burned: 374 (million)
% 5.50/1.13 % (780357)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=2733011237:i=111:add=on:fgj=on:rtra=on:fdi=1024_2992 on theBenchmark for (2992ds/111Mi)
% 5.50/1.13 % (780342)Instruction limit reached!
% 5.50/1.13 % (780342)------------------------------
% 5.50/1.13 % (780342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.50/1.13 % (780342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.13 % (780342)CaDiCaL version: 2.1.3
% 5.50/1.13 % (780342)Termination reason: Instruction limit
% 5.50/1.13 % (780342)Termination phase: Saturation
% 5.50/1.13 % (780342)Time elapsed: 0.114 s
% 5.50/1.13 % (780342)Peak memory usage: 12 MB
% 5.50/1.13 % (780342)Instructions burned: 272 (million)
% 5.50/1.13 % (780347)Instruction limit reached!
% 5.50/1.13 % (780347)------------------------------
% 5.50/1.13 % (780347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.17/1.23 % (780347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/1.23 % (780347)CaDiCaL version: 2.1.3
% 6.17/1.23 % (780347)Termination reason: Instruction limit
% 6.17/1.23 % (780347)Termination phase: Saturation
% 6.17/1.23 % (780347)Time elapsed: 0.104 s
% 6.17/1.23 % (780347)Peak memory usage: 12 MB
% 6.17/1.23 % (780347)Instructions burned: 271 (million)
% 6.17/1.23 % (780359)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=3689484000:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/136Mi)
% 6.17/1.23 % (780359)Refutation not found, incomplete strategy
% 6.17/1.23 % (780359)------------------------------
% 6.17/1.23 % (780359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.17/1.23 % (780359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/1.23 % (780359)CaDiCaL version: 2.1.3
% 6.17/1.23 % (780359)Termination reason: Refutation not found, incomplete strategy
% 6.17/1.23 % (780359)Time elapsed: 0.001 s
% 6.17/1.23 % (780359)Peak memory usage: 11 MB
% 6.17/1.23 % (780359)Instructions burned: 1 (million)
% 6.17/1.23 % (780359)------------------------------
% 6.17/1.23 % (780359)------------------------------
% 6.17/1.23 % (780361)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1279348241:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2992 on theBenchmark for (2992ds/232Mi)
% 6.17/1.23 % (780358)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=1134792099: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)
% 6.17/1.23 % (780361)Refutation not found, incomplete strategy
% 6.17/1.23 % (780361)------------------------------
% 6.17/1.23 % (780361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.17/1.23 % (780361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/1.23 % (780361)CaDiCaL version: 2.1.3
% 6.17/1.23 % (780361)Termination reason: Refutation not found, incomplete strategy
% 6.17/1.23 % (780361)Time elapsed: 0.0000 s
% 6.17/1.23 % (780361)Peak memory usage: 11 MB
% 6.17/1.23 % (780358)Refutation not found, incomplete strategy
% 6.17/1.23 % (780358)------------------------------
% 6.17/1.23 % (780358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.17/1.23 % (780358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/1.23 % (780358)CaDiCaL version: 2.1.3
% 6.17/1.23 % (780358)Termination reason: Refutation not found, incomplete strategy
% 6.17/1.23 % (780358)Time elapsed: 0.001 s
% 6.17/1.23 % (780361)------------------------------
% 6.17/1.23 % (780361)------------------------------
% 6.17/1.23 % (780364)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 6.17/1.23 % (780363)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=1601034176:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2992 on theBenchmark for (2992ds/1254Mi)
% 6.17/1.23 % (780358)Peak memory usage: 11 MB
% 6.17/1.23 % (780358)------------------------------
% 6.17/1.23 % (780358)------------------------------
% 6.17/1.23 % (780363)Refutation not found, incomplete strategy
% 6.17/1.23 % (780363)------------------------------
% 6.17/1.23 % (780363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.17/1.23 % (780363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/1.23 % (780363)CaDiCaL version: 2.1.3
% 6.17/1.23 % (780363)Termination reason: Refutation not found, incomplete strategy
% 6.17/1.23 % (780363)Time elapsed: 0.001 s
% 6.17/1.23 % (780363)Peak memory usage: 11 MB
% 6.17/1.23 % (780363)Instructions burned: 2 (million)
% 6.17/1.23 % (780364)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=3597182768:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2992 on theBenchmark for (2992ds/281Mi)
% 6.17/1.23 % (780363)------------------------------
% 6.17/1.23 % (780363)------------------------------
% 6.17/1.23 % (780367)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1166651989:i=619:add=on:rtra=on_2991 on theBenchmark for (2991ds/619Mi)
% 6.17/1.23 % (780367)Refutation not found, incomplete strategy
% 6.93/1.39 % (780367)------------------------------
% 6.93/1.39 % (780367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.93/1.39 % (780367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.39 % (780367)CaDiCaL version: 2.1.3
% 6.93/1.39 % (780367)Termination reason: Refutation not found, incomplete strategy
% 6.93/1.39 % (780367)Time elapsed: 0.002 s
% 6.93/1.39 % (780367)Peak memory usage: 12 MB
% 6.93/1.39 % (780367)Instructions burned: 2 (million)
% 6.93/1.39 % (780367)------------------------------
% 6.93/1.39 % (780367)------------------------------
% 6.93/1.39 % (780370)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=3442020425:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/865Mi)
% 6.93/1.39 % (780371)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2020485602:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/212Mi)
% 6.93/1.39 % (780371)Refutation not found, incomplete strategy
% 6.93/1.39 % (780371)------------------------------
% 6.93/1.39 % (780371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.93/1.39 % (780371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.39 % (780371)CaDiCaL version: 2.1.3
% 6.93/1.39 % (780371)Termination reason: Refutation not found, incomplete strategy
% 6.93/1.39 % (780371)Time elapsed: 0.001 s
% 6.93/1.39 % (780371)Peak memory usage: 11 MB
% 6.93/1.39 % (780371)------------------------------
% 6.93/1.39 % (780371)------------------------------
% 6.93/1.39 % (780373)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=2339344709:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/130Mi)
% 6.93/1.39 % (780373)Refutation not found, incomplete strategy
% 6.93/1.39 % (780373)------------------------------
% 6.93/1.39 % (780373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.93/1.39 % (780373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.39 % (780373)CaDiCaL version: 2.1.3
% 6.93/1.39 % (780373)Termination reason: Refutation not found, incomplete strategy
% 6.93/1.39 % (780373)Time elapsed: 0.0000 s
% 6.93/1.39 % (780373)Peak memory usage: 11 MB
% 6.93/1.39 % (780357)Instruction limit reached!
% 6.93/1.39 % (780357)------------------------------
% 6.93/1.39 % (780357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.93/1.39 % (780357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.39 % (780357)CaDiCaL version: 2.1.3
% 6.93/1.39 % (780357)Termination reason: Instruction limit
% 6.93/1.39 % (780357)Termination phase: Saturation
% 6.93/1.39 % (780357)Time elapsed: 0.067 s
% 6.93/1.39 % (780357)Peak memory usage: 12 MB
% 6.93/1.39 % (780357)Instructions burned: 112 (million)
% 6.93/1.39 % (780373)------------------------------
% 6.93/1.39 % (780373)------------------------------
% 6.93/1.39 % (780376)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=2085201855:st=1.5:i=346:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/346Mi)
% 6.93/1.39 % (780376)Refutation not found, incomplete strategy
% 6.93/1.39 % (780376)------------------------------
% 6.93/1.39 % (780376)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.93/1.39 % (780376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.39 % (780376)CaDiCaL version: 2.1.3
% 6.93/1.39 % (780376)Termination reason: Refutation not found, incomplete strategy
% 6.93/1.39 % (780376)Time elapsed: 0.001 s
% 6.93/1.39 % (780376)Peak memory usage: 11 MB
% 6.93/1.39 % (780376)Instructions burned: 1 (million)
% 6.93/1.39 % (780376)------------------------------
% 6.93/1.39 % (780376)------------------------------
% 6.93/1.39 % (780378)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=2820604591:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2991 on theBenchmark for (2991ds/152Mi)
% 6.93/1.39 % (780379)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3382992786:i=75:ep=R:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/75Mi)
% 6.93/1.39 % (780381)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=489363061:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/387Mi)
% 6.93/1.39 % (780381)Refutation not found, incomplete strategy
% 6.93/1.39 % (780381)------------------------------
% 8.48/1.63 % (780381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.48/1.63 % (780381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.48/1.63 % (780381)CaDiCaL version: 2.1.3
% 8.48/1.63 % (780381)Termination reason: Refutation not found, incomplete strategy
% 8.48/1.63 % (780381)Time elapsed: 0.001 s
% 8.48/1.63 % (780381)Peak memory usage: 11 MB
% 8.48/1.63 % (780381)Instructions burned: 1 (million)
% 8.48/1.63 % (780381)------------------------------
% 8.48/1.63 % (780381)------------------------------
% 8.48/1.63 % (780385)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=3482376574:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2991 on theBenchmark for (2991ds/148Mi)
% 8.48/1.63 % (780379)Instruction limit reached!
% 8.48/1.63 % (780379)------------------------------
% 8.48/1.63 % (780379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.48/1.63 % (780379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.48/1.63 % (780379)CaDiCaL version: 2.1.3
% 8.48/1.63 % (780379)Termination reason: Instruction limit
% 8.48/1.63 % (780379)Termination phase: Saturation
% 8.48/1.63 % (780379)Time elapsed: 0.034 s
% 8.48/1.63 % (780379)Peak memory usage: 12 MB
% 8.48/1.63 % (780379)Instructions burned: 76 (million)
% 8.48/1.63 % (780387)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=4083727417:i=161:piset=and:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/161Mi)
% 8.48/1.63 % (780378)Instruction limit reached!
% 8.48/1.63 % (780378)------------------------------
% 8.48/1.63 % (780378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.48/1.63 % (780378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.48/1.63 % (780378)CaDiCaL version: 2.1.3
% 8.48/1.63 % (780378)Termination reason: Instruction limit
% 8.48/1.63 % (780378)Termination phase: Saturation
% 8.48/1.63 % (780378)Time elapsed: 0.074 s
% 8.48/1.63 % (780378)Peak memory usage: 12 MB
% 8.48/1.63 % (780378)Instructions burned: 153 (million)
% 8.48/1.63 % (780364)Instruction limit reached!
% 8.48/1.63 % (780364)------------------------------
% 8.48/1.63 % (780364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.48/1.63 % (780364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.48/1.63 % (780364)CaDiCaL version: 2.1.3
% 8.48/1.63 % (780364)Termination reason: Instruction limit
% 8.48/1.63 % (780364)Termination phase: Saturation
% 8.48/1.63 % (780364)Time elapsed: 0.145 s
% 8.48/1.63 % (780364)Peak memory usage: 13 MB
% 8.48/1.63 % (780364)Instructions burned: 282 (million)
% 8.48/1.63 % (780389)lrs+10_1_sil=128000:si=on:random_seed=3339195987:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/888Mi)
% 8.48/1.63 % (780389)Refutation not found, incomplete strategy
% 8.48/1.63 % (780389)------------------------------
% 8.48/1.63 % (780389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.48/1.63 % (780389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.48/1.63 % (780389)CaDiCaL version: 2.1.3
% 8.48/1.63 % (780389)Termination reason: Refutation not found, incomplete strategy
% 8.48/1.63 % (780389)Time elapsed: 0.001 s
% 8.48/1.63 % (780389)Peak memory usage: 11 MB
% 8.48/1.63 % (780389)------------------------------
% 8.48/1.63 % (780389)------------------------------
% 8.48/1.63 % (780385)Instruction limit reached!
% 8.48/1.63 % (780385)------------------------------
% 8.48/1.63 % (780385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.48/1.63 % (780385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.48/1.63 % (780385)CaDiCaL version: 2.1.3
% 8.48/1.63 % (780385)Termination reason: Instruction limit
% 8.48/1.63 % (780385)Termination phase: Saturation
% 8.48/1.63 % (780385)Time elapsed: 0.068 s
% 8.48/1.63 % (780385)Peak memory usage: 12 MB
% 8.48/1.63 % (780385)Instructions burned: 150 (million)
% 8.48/1.63 % (780390)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=3752671725:i=136:add=on:ins=4:rtra=on:sup=off_2990 on theBenchmark for (2990ds/136Mi)
% 8.48/1.63 % (780387)Instruction limit reached!
% 8.48/1.63 % (780387)------------------------------
% 8.48/1.63 % (780387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.48/1.63 % (780387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/1.83 % (780387)CaDiCaL version: 2.1.3
% 9.55/1.83 % (780387)Termination reason: Instruction limit
% 9.55/1.83 % (780387)Termination phase: Saturation
% 9.55/1.83 % (780387)Time elapsed: 0.060 s
% 9.55/1.83 % (780387)Peak memory usage: 12 MB
% 9.55/1.83 % (780387)Instructions burned: 161 (million)
% 9.55/1.83 % (780392)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=3860686445:i=88:s2at=3:nm=2:rtra=on:rawr=on_2990 on theBenchmark for (2990ds/88Mi)
% 9.55/1.83 % (780393)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=1866615715:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2990 on theBenchmark for (2990ds/93Mi)
% 9.55/1.83 % (780396)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3792300274:i=2186:rtra=on:ixr=off_2990 on theBenchmark for (2990ds/2186Mi)
% 9.55/1.83 % (780392)Instruction limit reached!
% 9.55/1.83 % (780392)------------------------------
% 9.55/1.83 % (780392)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.55/1.84 % (780392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/1.84 % (780392)CaDiCaL version: 2.1.3
% 9.55/1.84 % (780392)Termination reason: Instruction limit
% 9.55/1.84 % (780392)Termination phase: Saturation
% 9.55/1.84 % (780392)Time elapsed: 0.040 s
% 9.55/1.84 % (780392)Peak memory usage: 12 MB
% 9.55/1.84 % (780392)Instructions burned: 90 (million)
% 9.55/1.84 % (780393)Instruction limit reached!
% 9.55/1.84 % (780393)------------------------------
% 9.55/1.84 % (780393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.55/1.84 % (780393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/1.84 % (780393)CaDiCaL version: 2.1.3
% 9.55/1.84 % (780393)Termination reason: Instruction limit
% 9.55/1.84 % (780393)Termination phase: Saturation
% 9.55/1.84 % (780393)Time elapsed: 0.046 s
% 9.55/1.84 % (780393)Peak memory usage: 12 MB
% 9.55/1.84 % (780393)Instructions burned: 93 (million)
% 9.55/1.84 % (780390)Instruction limit reached!
% 9.55/1.84 % (780390)------------------------------
% 9.55/1.84 % (780390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.55/1.84 % (780390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/1.84 % (780390)CaDiCaL version: 2.1.3
% 9.55/1.84 % (780390)Termination reason: Instruction limit
% 9.55/1.84 % (780390)Termination phase: Saturation
% 9.55/1.84 % (780390)Time elapsed: 0.063 s
% 9.55/1.84 % (780390)Peak memory usage: 12 MB
% 9.55/1.84 % (780390)Instructions burned: 136 (million)
% 9.55/1.84 % (780399)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3758509105:s2a=on:i=240:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/240Mi)
% 9.55/1.84 % (780400)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=910035811:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2989 on theBenchmark for (2989ds/805Mi)
% 9.55/1.84 % (780401)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 9.55/1.84 % (780401)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=2466055323:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2989 on theBenchmark for (2989ds/391Mi)
% 9.55/1.84 % (780401)Refutation not found, incomplete strategy
% 9.55/1.84 % (780401)------------------------------
% 9.55/1.84 % (780401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.55/1.84 % (780401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/1.84 % (780401)CaDiCaL version: 2.1.3
% 9.55/1.84 % (780401)Termination reason: Refutation not found, incomplete strategy
% 9.55/1.84 % (780401)Time elapsed: 0.001 s
% 9.55/1.84 % (780401)Peak memory usage: 11 MB
% 9.55/1.84 % (780401)Instructions burned: 1 (million)
% 9.55/1.84 % (780401)------------------------------
% 9.55/1.84 % (780401)------------------------------
% 9.55/1.84 % (780405)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=1506460676:i=355:av=off:fsr=off:rtra=on:ixr=off_2989 on theBenchmark for (2989ds/355Mi)
% 9.55/1.84 % (780399)Instruction limit reached!
% 9.55/1.84 % (780399)------------------------------
% 9.55/1.84 % (780399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.55/1.84 % (780399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.89/1.94 % (780399)CaDiCaL version: 2.1.3
% 9.89/1.94 % (780399)Termination reason: Instruction limit
% 9.89/1.94 % (780399)Termination phase: Saturation
% 9.89/1.94 % (780399)Time elapsed: 0.096 s
% 9.89/1.94 % (780399)Peak memory usage: 12 MB
% 9.89/1.94 % (780399)Instructions burned: 242 (million)
% 9.89/1.94 % (780407)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=1822401291:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/314Mi)
% 9.89/1.94 % (780407)Refutation not found, incomplete strategy
% 9.89/1.94 % (780407)------------------------------
% 9.89/1.94 % (780407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.89/1.94 % (780407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.89/1.94 % (780407)CaDiCaL version: 2.1.3
% 9.89/1.94 % (780407)Termination reason: Refutation not found, incomplete strategy
% 9.89/1.94 % (780407)Time elapsed: 0.001 s
% 9.89/1.94 % (780407)Peak memory usage: 11 MB
% 9.89/1.94 % (780407)------------------------------
% 9.89/1.94 % (780407)------------------------------
% 9.89/1.94 % (780409)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=1365986254:s2a=on:i=251:fsr=off:rtra=on_2988 on theBenchmark for (2988ds/251Mi)
% 9.89/1.94 % (780405)Instruction limit reached!
% 9.89/1.94 % (780405)------------------------------
% 9.89/1.94 % (780405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.89/1.94 % (780405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.89/1.94 % (780405)CaDiCaL version: 2.1.3
% 9.89/1.94 % (780405)Termination reason: Instruction limit
% 9.89/1.94 % (780405)Termination phase: Saturation
% 9.89/1.94 % (780405)Time elapsed: 0.154 s
% 9.89/1.94 % (780405)Peak memory usage: 12 MB
% 9.89/1.94 % (780405)Instructions burned: 356 (million)
% 9.89/1.94 % (780412)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=2746177260: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)
% 9.89/1.94 % (780370)Instruction limit reached!
% 9.89/1.94 % (780370)------------------------------
% 9.89/1.94 % (780370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.89/1.94 % (780370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.89/1.94 % (780370)CaDiCaL version: 2.1.3
% 9.89/1.94 % (780370)Termination reason: Instruction limit
% 9.89/1.94 % (780370)Termination phase: Saturation
% 9.89/1.94 % (780370)Time elapsed: 0.443 s
% 9.89/1.94 % (780370)Peak memory usage: 15 MB
% 9.89/1.94 % (780370)Instructions burned: 865 (million)
% 9.89/1.94 % (780409)Instruction limit reached!
% 9.89/1.94 % (780409)------------------------------
% 9.89/1.94 % (780409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.89/1.94 % (780409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.89/1.94 % (780409)CaDiCaL version: 2.1.3
% 9.89/1.94 % (780409)Termination reason: Instruction limit
% 9.89/1.94 % (780409)Termination phase: Saturation
% 9.89/1.94 % (780409)Time elapsed: 0.113 s
% 9.89/1.94 % (780409)Peak memory usage: 12 MB
% 9.89/1.94 % (780409)Instructions burned: 253 (million)
% 9.89/1.94 % (780418)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=2347778752:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2987 on theBenchmark for (2987ds/673Mi)
% 9.89/1.94 % (780419)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=1424221123:i=116:ep=RSTC:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/116Mi)
% 9.89/1.94 % (780419)Instruction limit reached!
% 9.89/1.94 % (780419)------------------------------
% 9.89/1.94 % (780419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.89/1.94 % (780419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.89/1.94 % (780419)CaDiCaL version: 2.1.3
% 9.89/1.94 % (780419)Termination reason: Instruction limit
% 9.89/1.94 % (780419)Termination phase: Saturation
% 9.89/1.94 % (780419)Time elapsed: 0.049 s
% 9.89/1.94 % (780419)Peak memory usage: 12 MB
% 9.89/1.94 % (780419)Instructions burned: 116 (million)
% 9.89/1.94 % (780422)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=544412507: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)
% 12.51/2.10 % (780353)Instruction limit reached!
% 12.51/2.10 % (780353)------------------------------
% 12.51/2.10 % (780353)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.51/2.10 % (780353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/2.10 % (780353)CaDiCaL version: 2.1.3
% 12.51/2.10 % (780353)Termination reason: Instruction limit
% 12.51/2.10 % (780353)Termination phase: Saturation
% 12.51/2.10 % (780353)Time elapsed: 0.720 s
% 12.51/2.10 % (780353)Peak memory usage: 12 MB
% 12.51/2.10 % (780353)Instructions burned: 1442 (million)
% 12.51/2.10 % (780400)Instruction limit reached!
% 12.51/2.10 % (780400)------------------------------
% 12.51/2.10 % (780400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.51/2.10 % (780400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/2.10 % (780400)CaDiCaL version: 2.1.3
% 12.51/2.10 % (780400)Termination reason: Instruction limit
% 12.51/2.10 % (780400)Termination phase: Saturation
% 12.51/2.10 % (780400)Time elapsed: 0.420 s
% 12.51/2.10 % (780400)Peak memory usage: 13 MB
% 12.51/2.10 % (780400)Instructions burned: 807 (million)
% 12.51/2.10 % (780424)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=947229848: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_2985 on theBenchmark for (2985ds/30Mi)
% 12.51/2.10 % (780426)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 12.51/2.10 % (780426)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=3921648233:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2985 on theBenchmark for (2985ds/39Mi)
% 12.51/2.10 % (780422)Instruction limit reached!
% 12.51/2.10 % (780422)------------------------------
% 12.51/2.10 % (780422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.51/2.10 % (780422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/2.10 % (780422)CaDiCaL version: 2.1.3
% 12.51/2.10 % (780422)Termination reason: Instruction limit
% 12.51/2.10 % (780422)Termination phase: Saturation
% 12.51/2.10 % (780422)Time elapsed: 0.116 s
% 12.51/2.10 % (780422)Peak memory usage: 12 MB
% 12.51/2.10 % (780422)Instructions burned: 271 (million)
% 12.51/2.10 % (780424)Instruction limit reached!
% 12.51/2.10 % (780424)------------------------------
% 12.51/2.10 % (780424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.51/2.10 % (780424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/2.10 % (780424)CaDiCaL version: 2.1.3
% 12.51/2.10 % (780424)Termination reason: Instruction limit
% 12.51/2.10 % (780424)Termination phase: Saturation
% 12.51/2.10 % (780424)Time elapsed: 0.025 s
% 12.51/2.10 % (780424)Peak memory usage: 12 MB
% 12.51/2.10 % (780424)Instructions burned: 35 (million)
% 12.51/2.10 % (780426)Instruction limit reached!
% 12.51/2.10 % (780426)------------------------------
% 12.51/2.10 % (780426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.51/2.10 % (780426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/2.10 % (780426)CaDiCaL version: 2.1.3
% 12.51/2.10 % (780426)Termination reason: Instruction limit
% 12.51/2.10 % (780426)Termination phase: Saturation
% 12.51/2.10 % (780426)Time elapsed: 0.020 s
% 12.51/2.10 % (780426)Peak memory usage: 12 MB
% 12.51/2.10 % (780426)Instructions burned: 39 (million)
% 12.51/2.10 % (780429)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2753752366:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2985 on theBenchmark for (2985ds/365Mi)
% 12.51/2.10 % (780430)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1230376664:i=158:av=off:rtra=on_2984 on theBenchmark for (2984ds/158Mi)
% 12.51/2.10 % (780432)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
% 12.51/2.10 % (780432)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=240239502:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2984 on theBenchmark for (2984ds/252Mi)
% 12.51/2.10 % (780430)Instruction limit reached!
% 12.51/2.10 % (780430)------------------------------
% 13.29/2.21 % (780430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.29/2.21 % (780430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.29/2.21 % (780430)CaDiCaL version: 2.1.3
% 13.29/2.21 % (780430)Termination reason: Instruction limit
% 13.29/2.21 % (780430)Termination phase: Saturation
% 13.29/2.21 % (780430)Time elapsed: 0.067 s
% 13.29/2.21 % (780430)Peak memory usage: 12 MB
% 13.29/2.21 % (780430)Instructions burned: 161 (million)
% 13.29/2.21 % (780435)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=3445036666:i=213:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/213Mi)
% 13.29/2.21 % (780435)Refutation not found, incomplete strategy
% 13.29/2.21 % (780435)------------------------------
% 13.29/2.21 % (780435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.29/2.21 % (780435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.29/2.21 % (780435)CaDiCaL version: 2.1.3
% 13.29/2.21 % (780435)Termination reason: Refutation not found, incomplete strategy
% 13.29/2.21 % (780435)Time elapsed: 0.001 s
% 13.29/2.21 % (780435)Peak memory usage: 11 MB
% 13.29/2.21 % (780435)------------------------------
% 13.29/2.21 % (780435)------------------------------
% 13.29/2.21 % (780437)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=2672656366:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2983 on theBenchmark for (2983ds/160Mi)
% 13.29/2.21 % (780437)Refutation not found, incomplete strategy
% 13.29/2.21 % (780437)------------------------------
% 13.29/2.21 % (780437)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.29/2.21 % (780437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.29/2.21 % (780437)CaDiCaL version: 2.1.3
% 13.29/2.21 % (780437)Termination reason: Refutation not found, incomplete strategy
% 13.29/2.21 % (780437)Time elapsed: 0.001 s
% 13.29/2.21 % (780437)Peak memory usage: 11 MB
% 13.29/2.21 % (780437)------------------------------
% 13.29/2.21 % (780437)------------------------------
% 13.29/2.21 % (780432)Instruction limit reached!
% 13.29/2.21 % (780432)------------------------------
% 13.29/2.21 % (780432)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.29/2.21 % (780432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.29/2.21 % (780432)CaDiCaL version: 2.1.3
% 13.29/2.21 % (780432)Termination reason: Instruction limit
% 13.29/2.21 % (780432)Termination phase: Saturation
% 13.29/2.21 % (780432)Time elapsed: 0.097 s
% 13.29/2.21 % (780432)Peak memory usage: 12 MB
% 13.29/2.21 % (780432)Instructions burned: 252 (million)
% 13.29/2.21 % (780440)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 13.29/2.21 % (780440)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=1277303778:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2983 on theBenchmark for (2983ds/237Mi)
% 13.29/2.21 % (780439)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=4008608512:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/763Mi)
% 13.29/2.21 % (780440)Refutation not found, incomplete strategy
% 13.29/2.21 % (780440)------------------------------
% 13.29/2.21 % (780440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.29/2.21 % (780440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.29/2.21 % (780440)CaDiCaL version: 2.1.3
% 13.29/2.21 % (780440)Termination reason: Refutation not found, incomplete strategy
% 13.29/2.21 % (780440)Time elapsed: 0.0000 s
% 13.29/2.21 % (780440)Peak memory usage: 11 MB
% 13.29/2.21 % (780440)------------------------------
% 13.29/2.21 % (780440)------------------------------
% 13.29/2.21 % (780443)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=3005264403:s2a=on:i=386:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/386Mi)
% 13.29/2.21 % (780429)Instruction limit reached!
% 13.29/2.21 % (780429)------------------------------
% 13.29/2.21 % (780429)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.29/2.21 % (780429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.29/2.21 % (780429)CaDiCaL version: 2.1.3
% 13.29/2.29 % (780429)Termination reason: Instruction limit
% 13.29/2.29 % (780429)Termination phase: Saturation
% 13.29/2.29 % (780429)Time elapsed: 0.172 s
% 13.29/2.29 % (780429)Peak memory usage: 13 MB
% 13.29/2.29 % (780429)Instructions burned: 366 (million)
% 13.29/2.29 % (780445)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=1054496541:i=300:piset=and:nm=32:rtra=on_2983 on theBenchmark for (2983ds/300Mi)
% 13.29/2.29 % (780418)Instruction limit reached!
% 13.29/2.29 % (780418)------------------------------
% 13.29/2.29 % (780418)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.29/2.29 % (780418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.29/2.29 % (780418)CaDiCaL version: 2.1.3
% 13.29/2.29 % (780418)Termination reason: Instruction limit
% 13.29/2.29 % (780418)Termination phase: Saturation
% 13.29/2.29 % (780418)Time elapsed: 0.453 s
% 13.29/2.29 % (780418)Peak memory usage: 13 MB
% 13.29/2.29 % (780418)Instructions burned: 673 (million)
% 13.29/2.29 % (780447)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=1587060079:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2982 on theBenchmark for (2982ds/567Mi)
% 13.29/2.29 % (780447)Refutation not found, incomplete strategy
% 13.29/2.29 % (780447)------------------------------
% 13.29/2.29 % (780447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.29/2.29 % (780447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.29/2.29 % (780447)CaDiCaL version: 2.1.3
% 13.29/2.29 % (780447)Termination reason: Refutation not found, incomplete strategy
% 13.29/2.29 % (780447)Time elapsed: 0.002 s
% 13.29/2.29 % (780447)Peak memory usage: 11 MB
% 13.29/2.29 % (780447)Instructions burned: 1 (million)
% 13.29/2.29 % (780447)------------------------------
% 13.29/2.29 % (780447)------------------------------
% 13.29/2.29 % (780396)Instruction limit reached!
% 13.29/2.29 % (780396)------------------------------
% 13.29/2.29 % (780396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.29/2.29 % (780396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.29/2.29 % (780396)CaDiCaL version: 2.1.3
% 13.29/2.29 % (780396)Termination reason: Instruction limit
% 13.29/2.29 % (780396)Termination phase: Saturation
% 13.29/2.29 % (780396)Time elapsed: 0.801 s
% 13.29/2.29 % (780396)Peak memory usage: 13 MB
% 13.29/2.29 % (780396)Instructions burned: 2186 (million)
% 13.29/2.29 % (780450)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=2837752633:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2981 on theBenchmark for (2981ds/429Mi)
% 13.29/2.29 % (780449)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=301876503:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2982 on theBenchmark for (2982ds/379Mi)
% 13.29/2.29 % (780449)Refutation not found, incomplete strategy
% 13.29/2.29 % (780449)------------------------------
% 13.29/2.29 % (780449)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.29/2.29 % (780449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.29/2.29 % (780449)CaDiCaL version: 2.1.3
% 13.29/2.29 % (780449)Termination reason: Refutation not found, incomplete strategy
% 13.29/2.29 % (780449)Time elapsed: 0.001 s
% 13.29/2.29 % (780449)Peak memory usage: 11 MB
% 13.29/2.29 % (780449)------------------------------
% 13.29/2.29 % (780449)------------------------------
% 13.29/2.29 % (780445)Instruction limit reached!
% 13.29/2.29 % (780445)------------------------------
% 13.29/2.29 % (780445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.29/2.29 % (780445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.29/2.29 % (780445)CaDiCaL version: 2.1.3
% 13.29/2.29 % (780445)Termination reason: Instruction limit
% 13.29/2.29 % (780445)Termination phase: Saturation
% 13.29/2.29 % (780445)Time elapsed: 0.136 s
% 13.29/2.29 % (780445)Peak memory usage: 12 MB
% 13.29/2.29 % (780445)Instructions burned: 302 (million)
% 13.29/2.29 % (780443)Instruction limit reached!
% 13.29/2.29 % (780443)------------------------------
% 13.29/2.29 % (780443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.29/2.29 % (780443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.29/2.29 % (780443)CaDiCaL version: 2.1.3
% 13.29/2.29 % (780443)Termination reason: Instruction limit
% 13.29/2.29 % (780443)Termination phase: Saturation
% 13.29/2.29 % (780443)Time elapsed: 0.172 s
% 13.29/2.29 % (780443)Peak memory usage: 12 MB
% 13.29/2.29 % (780443)Instructions burned: 387 (million)
% 13.29/2.29 % (780453)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=1829788451:i=478:bd=all:rtra=on_2981 on theBenchmark for (2981ds/478Mi)
% 14.50/2.44 % (780453)Refutation not found, incomplete strategy
% 14.50/2.44 % (780453)------------------------------
% 14.50/2.44 % (780453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.50/2.44 % (780453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.50/2.44 % (780453)CaDiCaL version: 2.1.3
% 14.50/2.44 % (780453)Termination reason: Refutation not found, incomplete strategy
% 14.50/2.44 % (780453)Time elapsed: 0.001 s
% 14.50/2.44 % (780453)Peak memory usage: 12 MB
% 14.50/2.44 % (780453)Instructions burned: 1 (million)
% 14.50/2.44 % (780453)------------------------------
% 14.50/2.44 % (780453)------------------------------
% 14.50/2.44 % (780454)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1848764944:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2981 on theBenchmark for (2981ds/445Mi)
% 14.50/2.44 % (780455)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=2385489036:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2981 on theBenchmark for (2981ds/71Mi)
% 14.50/2.44 % (780457)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1114201678:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2981 on theBenchmark for (2981ds/302Mi)
% 14.50/2.44 % (780457)Refutation not found, incomplete strategy
% 14.50/2.44 % (780457)------------------------------
% 14.50/2.44 % (780457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.50/2.44 % (780457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.50/2.44 % (780457)CaDiCaL version: 2.1.3
% 14.50/2.44 % (780457)Termination reason: Refutation not found, incomplete strategy
% 14.50/2.44 % (780457)Time elapsed: 0.001 s
% 14.50/2.44 % (780457)Peak memory usage: 11 MB
% 14.50/2.44 % (780457)------------------------------
% 14.50/2.44 % (780457)------------------------------
% 14.50/2.44 % (780461)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=2596710091:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2981 on theBenchmark for (2981ds/4980Mi)
% 14.50/2.44 % (780461)Refutation not found, incomplete strategy
% 14.50/2.44 % (780461)------------------------------
% 14.50/2.44 % (780461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.50/2.44 % (780461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.50/2.44 % (780461)CaDiCaL version: 2.1.3
% 14.50/2.44 % (780461)Termination reason: Refutation not found, incomplete strategy
% 14.50/2.44 % (780461)Time elapsed: 0.001 s
% 14.50/2.44 % (780461)Peak memory usage: 11 MB
% 14.50/2.44 % (780461)------------------------------
% 14.50/2.44 % (780461)------------------------------
% 14.50/2.44 % (780455)Instruction limit reached!
% 14.50/2.44 % (780455)------------------------------
% 14.50/2.44 % (780455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.50/2.44 % (780455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.50/2.44 % (780455)CaDiCaL version: 2.1.3
% 14.50/2.44 % (780455)Termination reason: Instruction limit
% 14.50/2.44 % (780455)Termination phase: Saturation
% 14.50/2.44 % (780455)Time elapsed: 0.037 s
% 14.50/2.44 % (780455)Peak memory usage: 12 MB
% 14.50/2.44 % (780455)Instructions burned: 71 (million)
% 14.50/2.44 % (780463)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 14.50/2.44 % (780463)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 14.50/2.44 % (780463)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2032789329:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2981 on theBenchmark for (2981ds/100Mi)
% 14.50/2.44 % (780464)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=548758864:i=76:piset=equals:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/76Mi)
% 14.50/2.44 % (780464)Instruction limit reached!
% 14.50/2.44 % (780464)------------------------------
% 14.50/2.44 % (780464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.50/2.44 % (780464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.28/2.67 % (780464)CaDiCaL version: 2.1.3
% 15.28/2.67 % (780464)Termination reason: Instruction limit
% 15.28/2.67 % (780464)Termination phase: Saturation
% 15.28/2.67 % (780464)Time elapsed: 0.037 s
% 15.28/2.67 % (780464)Peak memory usage: 12 MB
% 15.28/2.67 % (780464)Instructions burned: 77 (million)
% 15.28/2.67 % (780463)Instruction limit reached!
% 15.28/2.67 % (780463)------------------------------
% 15.28/2.67 % (780463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.28/2.67 % (780463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.28/2.67 % (780463)CaDiCaL version: 2.1.3
% 15.28/2.67 % (780463)Termination reason: Instruction limit
% 15.28/2.67 % (780463)Termination phase: Saturation
% 15.28/2.67 % (780463)Time elapsed: 0.046 s
% 15.28/2.67 % (780463)Peak memory usage: 12 MB
% 15.28/2.67 % (780463)Instructions burned: 100 (million)
% 15.28/2.67 % (780467)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=339024917:i=289:rtra=on_2980 on theBenchmark for (2980ds/289Mi)
% 15.28/2.67 % (780467)Refutation not found, incomplete strategy
% 15.28/2.67 % (780467)------------------------------
% 15.28/2.67 % (780467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.28/2.67 % (780467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.28/2.67 % (780467)CaDiCaL version: 2.1.3
% 15.28/2.67 % (780467)Termination reason: Refutation not found, incomplete strategy
% 15.28/2.67 % (780467)Time elapsed: 0.001 s
% 15.28/2.67 % (780467)Peak memory usage: 11 MB
% 15.28/2.67 % (780467)Instructions burned: 1 (million)
% 15.28/2.67 % (780467)------------------------------
% 15.28/2.67 % (780467)------------------------------
% 15.28/2.67 % (780468)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=4208242583:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2980 on theBenchmark for (2980ds/493Mi)
% 15.28/2.67 % (780470)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=2220738454:cond=on:i=34:hud=10:nm=10:rtra=on_2980 on theBenchmark for (2980ds/34Mi)
% 15.28/2.67 % (780470)Instruction limit reached!
% 15.28/2.67 % (780470)------------------------------
% 15.28/2.67 % (780470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.28/2.67 % (780470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.28/2.67 % (780470)CaDiCaL version: 2.1.3
% 15.28/2.67 % (780470)Termination reason: Instruction limit
% 15.28/2.67 % (780470)Termination phase: Saturation
% 15.28/2.67 % (780470)Time elapsed: 0.018 s
% 15.28/2.67 % (780470)Peak memory usage: 12 MB
% 15.28/2.67 % (780470)Instructions burned: 35 (million)
% 15.28/2.67 % (780450)Instruction limit reached!
% 15.28/2.67 % (780450)------------------------------
% 15.28/2.67 % (780450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.28/2.67 % (780450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.28/2.67 % (780450)CaDiCaL version: 2.1.3
% 15.28/2.67 % (780450)Termination reason: Instruction limit
% 15.28/2.67 % (780450)Termination phase: Saturation
% 15.28/2.67 % (780450)Time elapsed: 0.200 s
% 15.28/2.67 % (780450)Peak memory usage: 12 MB
% 15.28/2.67 % (780450)Instructions burned: 429 (million)
% 15.28/2.67 % (780439)Instruction limit reached!
% 15.28/2.67 % (780439)------------------------------
% 15.28/2.67 % (780439)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.28/2.67 % (780439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.28/2.67 % (780439)CaDiCaL version: 2.1.3
% 15.28/2.67 % (780439)Termination reason: Instruction limit
% 15.28/2.67 % (780439)Termination phase: Saturation
% 15.28/2.67 % (780439)Time elapsed: 0.377 s
% 15.28/2.67 % (780439)Peak memory usage: 13 MB
% 15.28/2.67 % (780439)Instructions burned: 764 (million)
% 15.28/2.67 % (780473)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 15.28/2.67 % (780473)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=343960233:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2979 on theBenchmark for (2979ds/372Mi)
% 15.28/2.67 % (780473)Refutation not found, incomplete strategy
% 15.28/2.67 % (780473)------------------------------
% 15.28/2.67 % (780473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.26/2.77 % (780473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.26/2.77 % (780473)CaDiCaL version: 2.1.3
% 16.26/2.77 % (780473)Termination reason: Refutation not found, incomplete strategy
% 16.26/2.77 % (780473)Time elapsed: 0.001 s
% 16.26/2.77 % (780473)Peak memory usage: 11 MB
% 16.26/2.77 % (780473)Instructions burned: 2 (million)
% 16.26/2.77 % (780473)------------------------------
% 16.26/2.77 % (780473)------------------------------
% 16.26/2.77 % (780474)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=3439343735:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2979 on theBenchmark for (2979ds/670Mi)
% 16.26/2.77 % (780477)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=3048472100:i=857:add=off:kws=frequency:rtra=on:ntd=on_2979 on theBenchmark for (2979ds/857Mi)
% 16.26/2.77 % (780475)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1924725242:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2979 on theBenchmark for (2979ds/647Mi)
% 16.26/2.77 % (780475)Refutation not found, incomplete strategy
% 16.26/2.77 % (780475)------------------------------
% 16.26/2.77 % (780475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.26/2.77 % (780475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.26/2.77 % (780475)CaDiCaL version: 2.1.3
% 16.26/2.77 % (780475)Termination reason: Refutation not found, incomplete strategy
% 16.26/2.77 % (780475)Time elapsed: 0.0000 s
% 16.26/2.77 % (780475)Peak memory usage: 11 MB
% 16.26/2.77 % (780475)------------------------------
% 16.26/2.77 % (780475)------------------------------
% 16.26/2.77 % (780454)Instruction limit reached!
% 16.26/2.77 % (780454)------------------------------
% 16.26/2.77 % (780454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.26/2.77 % (780454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.26/2.77 % (780454)CaDiCaL version: 2.1.3
% 16.26/2.77 % (780454)Termination reason: Instruction limit
% 16.26/2.77 % (780454)Termination phase: Saturation
% 16.26/2.77 % (780454)Time elapsed: 0.223 s
% 16.26/2.77 % (780454)Peak memory usage: 14 MB
% 16.26/2.77 % (780454)Instructions burned: 446 (million)
% 16.26/2.77 % (780482)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=1763237130:i=285:hud=10:bd=all:rtra=on:ss=axioms_2979 on theBenchmark for (2979ds/285Mi)
% 16.26/2.77 % (780481)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=2927796663:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2979 on theBenchmark for (2979ds/693Mi)
% 16.26/2.77 % (780482)Refutation not found, incomplete strategy
% 16.26/2.77 % (780482)------------------------------
% 16.26/2.77 % (780482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.26/2.77 % (780482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.26/2.77 % (780482)CaDiCaL version: 2.1.3
% 16.26/2.77 % (780482)Termination reason: Refutation not found, incomplete strategy
% 16.26/2.77 % (780482)Time elapsed: 0.001 s
% 16.26/2.77 % (780482)Peak memory usage: 11 MB
% 16.26/2.77 % (780482)Instructions burned: 1 (million)
% 16.26/2.77 % (780482)------------------------------
% 16.26/2.77 % (780482)------------------------------
% 16.26/2.77 % (780485)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 16.26/2.77 % (780485)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=3275479686:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2978 on theBenchmark for (2978ds/52Mi)
% 16.26/2.77 % (780485)Instruction limit reached!
% 16.26/2.77 % (780485)------------------------------
% 16.26/2.77 % (780485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.26/2.77 % (780485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.26/2.77 % (780485)CaDiCaL version: 2.1.3
% 16.26/2.77 % (780485)Termination reason: Instruction limit
% 16.26/2.77 % (780485)Termination phase: Saturation
% 16.26/2.77 % (780485)Time elapsed: 0.036 s
% 16.26/2.77 % (780485)Peak memory usage: 12 MB
% 16.26/2.77 % (780485)Instructions burned: 55 (million)
% 16.26/2.77 % (780495)dis+10_1_si=on:random_seed=95522183:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2978 on theBenchmark for (2978ds/407Mi)
% 19.54/3.08 % (780495)Refutation not found, incomplete strategy
% 19.54/3.08 % (780495)------------------------------
% 19.54/3.08 % (780495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.54/3.08 % (780495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.54/3.08 % (780495)CaDiCaL version: 2.1.3
% 19.54/3.08 % (780495)Termination reason: Refutation not found, incomplete strategy
% 19.54/3.08 % (780495)Time elapsed: 0.001 s
% 19.54/3.08 % (780495)Peak memory usage: 11 MB
% 19.54/3.08 % (780495)------------------------------
% 19.54/3.08 % (780495)------------------------------
% 19.54/3.08 % (780497)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=3288592138:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/2240Mi)
% 19.54/3.08 % (780468)Instruction limit reached!
% 19.54/3.08 % (780468)------------------------------
% 19.54/3.08 % (780468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.54/3.08 % (780468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.54/3.08 % (780468)CaDiCaL version: 2.1.3
% 19.54/3.08 % (780468)Termination reason: Instruction limit
% 19.54/3.08 % (780468)Termination phase: Saturation
% 19.54/3.08 % (780468)Time elapsed: 0.236 s
% 19.54/3.08 % (780468)Peak memory usage: 13 MB
% 19.54/3.08 % (780468)Instructions burned: 494 (million)
% 19.54/3.08 % (780499)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=3868385278:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2977 on theBenchmark for (2977ds/336Mi)
% 19.54/3.08 % (780499)Refutation not found, incomplete strategy
% 19.54/3.08 % (780499)------------------------------
% 19.54/3.08 % (780499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.54/3.08 % (780499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.54/3.08 % (780499)CaDiCaL version: 2.1.3
% 19.54/3.08 % (780499)Termination reason: Refutation not found, incomplete strategy
% 19.54/3.08 % (780499)Time elapsed: 0.001 s
% 19.54/3.08 % (780499)Peak memory usage: 11 MB
% 19.54/3.08 % (780499)------------------------------
% 19.54/3.08 % (780499)------------------------------
% 19.54/3.08 % (780501)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=2670351232:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2977 on theBenchmark for (2977ds/1142Mi)
% 19.54/3.08 % (780477)Instruction limit reached!
% 19.54/3.08 % (780477)------------------------------
% 19.54/3.08 % (780477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.54/3.08 % (780477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.54/3.08 % (780477)CaDiCaL version: 2.1.3
% 19.54/3.08 % (780477)Termination reason: Instruction limit
% 19.54/3.08 % (780477)Termination phase: Saturation
% 19.54/3.08 % (780477)Time elapsed: 0.319 s
% 19.54/3.08 % (780477)Peak memory usage: 12 MB
% 19.54/3.08 % (780477)Instructions burned: 859 (million)
% 19.54/3.08 % (780503)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=4050675605:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2976 on theBenchmark for (2976ds/376Mi)
% 19.54/3.08 % (780503)Refutation not found, incomplete strategy
% 19.54/3.08 % (780503)------------------------------
% 19.54/3.08 % (780503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.54/3.08 % (780503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.54/3.08 % (780503)CaDiCaL version: 2.1.3
% 19.54/3.08 % (780503)Termination reason: Refutation not found, incomplete strategy
% 19.54/3.08 % (780503)Time elapsed: 0.001 s
% 19.54/3.08 % (780503)Peak memory usage: 11 MB
% 19.54/3.08 % (780503)------------------------------
% 19.54/3.08 % (780503)------------------------------
% 19.54/3.08 % (780505)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=1515378276:i=766:bd=all:rtra=on_2975 on theBenchmark for (2975ds/766Mi)
% 19.54/3.08 % (780505)Refutation not found, incomplete strategy
% 19.54/3.08 % (780505)------------------------------
% 19.54/3.08 % (780505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.54/3.08 % (780505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.54/3.08 % (780505)CaDiCaL version: 2.1.3
% 19.54/3.08 % (780505)Termination reason: Refutation not found, incomplete strategy
% 19.54/3.08 % (780505)Time elapsed: 0.0000 s
% 19.54/3.08 % (780505)Peak memory usage: 12 MB
% 19.54/3.08 % (780505)Instructions burned: 1 (million)
% 21.22/3.33 % (780505)------------------------------
% 21.22/3.33 % (780505)------------------------------
% 21.22/3.33 % (780507)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 21.22/3.33 % (780507)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=965740565:st=3:uwa_fpi=on:i=959:fgj=on:piset=pi_sigma:hud=5:nm=16:rtra=on:fe=abstraction:ss=axioms:ixr=off:ntd=on_2975 on theBenchmark for (2975ds/959Mi)
% 21.22/3.33 % (780507)Refutation not found, incomplete strategy
% 21.22/3.33 % (780507)------------------------------
% 21.22/3.33 % (780507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.22/3.33 % (780507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.22/3.33 % (780507)CaDiCaL version: 2.1.3
% 21.22/3.33 % (780507)Termination reason: Refutation not found, incomplete strategy
% 21.22/3.33 % (780507)Time elapsed: 0.0000 s
% 21.22/3.33 % (780507)Peak memory usage: 12 MB
% 21.22/3.33 % (780507)------------------------------
% 21.22/3.33 % (780507)------------------------------
% 21.22/3.33 % (780509)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=1122595999:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2975 on theBenchmark for (2975ds/6359Mi)
% 21.22/3.33 % (780474)Instruction limit reached!
% 21.22/3.33 % (780474)------------------------------
% 21.22/3.33 % (780474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.22/3.33 % (780474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.22/3.33 % (780474)CaDiCaL version: 2.1.3
% 21.22/3.33 % (780474)Termination reason: Instruction limit
% 21.22/3.33 % (780474)Termination phase: Saturation
% 21.22/3.33 % (780474)Time elapsed: 0.395 s
% 21.22/3.33 % (780474)Peak memory usage: 12 MB
% 21.22/3.33 % (780474)Instructions burned: 671 (million)
% 21.22/3.33 % (780511)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2281868226:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2975 on theBenchmark for (2975ds/35Mi)
% 21.22/3.33 % (780511)Refutation not found, incomplete strategy
% 21.22/3.33 % (780511)------------------------------
% 21.22/3.33 % (780511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.22/3.33 % (780511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.22/3.33 % (780511)CaDiCaL version: 2.1.3
% 21.22/3.33 % (780511)Termination reason: Refutation not found, incomplete strategy
% 21.22/3.33 % (780511)Time elapsed: 0.001 s
% 21.22/3.33 % (780511)Peak memory usage: 11 MB
% 21.22/3.33 % (780511)------------------------------
% 21.22/3.33 % (780511)------------------------------
% 21.22/3.33 % (780513)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=2075835102:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2975 on theBenchmark for (2975ds/53Mi)
% 21.22/3.33 % (780481)Instruction limit reached!
% 21.22/3.33 % (780481)------------------------------
% 21.22/3.33 % (780481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.22/3.33 % (780481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.22/3.33 % (780481)CaDiCaL version: 2.1.3
% 21.22/3.33 % (780481)Termination reason: Instruction limit
% 21.22/3.33 % (780481)Termination phase: Saturation
% 21.22/3.33 % (780481)Time elapsed: 0.388 s
% 21.22/3.33 % (780481)Peak memory usage: 12 MB
% 21.22/3.33 % (780481)Instructions burned: 694 (million)
% 21.22/3.33 % (780513)Instruction limit reached!
% 21.22/3.33 % (780513)------------------------------
% 21.22/3.33 % (780513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.22/3.33 % (780513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.22/3.33 % (780513)CaDiCaL version: 2.1.3
% 21.22/3.33 % (780513)Termination reason: Instruction limit
% 21.22/3.33 % (780513)Termination phase: Saturation
% 21.22/3.33 % (780513)Time elapsed: 0.016 s
% 21.22/3.33 % (780513)Peak memory usage: 12 MB
% 21.22/3.33 % (780513)Instructions burned: 57 (million)
% 21.22/3.33 % (780515)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=382662179:s2a=on:i=876:s2at=6:nm=2:rtra=on_2975 on theBenchmark for (2975ds/876Mi)
% 21.22/3.33 % (780516)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1190419682:i=57:ep=R:rtra=on:ntd=on_2974 on theBenchmark for (2974ds/57Mi)
% 21.79/3.50 % (780516)Instruction limit reached!
% 21.79/3.50 % (780516)------------------------------
% 21.79/3.50 % (780516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.79/3.50 % (780516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.79/3.50 % (780516)CaDiCaL version: 2.1.3
% 21.79/3.50 % (780516)Termination reason: Instruction limit
% 21.79/3.50 % (780516)Termination phase: Saturation
% 21.79/3.50 % (780516)Time elapsed: 0.014 s
% 21.79/3.50 % (780516)Peak memory usage: 12 MB
% 21.79/3.50 % (780516)Instructions burned: 58 (million)
% 21.79/3.50 % (780519)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 21.79/3.50 % (780519)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=3025054815:i=306:bd=all:rtra=on_2974 on theBenchmark for (2974ds/306Mi)
% 21.79/3.50 % (780519)Refutation not found, incomplete strategy
% 21.79/3.50 % (780519)------------------------------
% 21.79/3.50 % (780519)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.79/3.50 % (780519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.79/3.50 % (780519)CaDiCaL version: 2.1.3
% 21.79/3.50 % (780519)Termination reason: Refutation not found, incomplete strategy
% 21.79/3.50 % (780519)Time elapsed: 0.0000 s
% 21.79/3.50 % (780519)Peak memory usage: 11 MB
% 21.79/3.50 % (780519)Instructions burned: 1 (million)
% 21.79/3.50 % (780519)------------------------------
% 21.79/3.50 % (780519)------------------------------
% 21.79/3.50 % (780521)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=285684396:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2974 on theBenchmark for (2974ds/262Mi)
% 21.79/3.50 % (780521)Refutation not found, incomplete strategy
% 21.79/3.50 % (780521)------------------------------
% 21.79/3.50 % (780521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.79/3.50 % (780521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.79/3.50 % (780521)CaDiCaL version: 2.1.3
% 21.79/3.50 % (780521)Termination reason: Refutation not found, incomplete strategy
% 21.79/3.50 % (780521)Time elapsed: 0.0000 s
% 21.79/3.50 % (780521)Peak memory usage: 11 MB
% 21.79/3.50 % (780521)------------------------------
% 21.79/3.50 % (780521)------------------------------
% 21.79/3.50 % (780524)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 21.79/3.50 % (780524)ott+1002_16_sil=128000:si=on:random_seed=3712330443:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2974 on theBenchmark for (2974ds/409Mi)
% 21.79/3.50 % (780524)Instruction limit reached!
% 21.79/3.50 % (780524)------------------------------
% 21.79/3.50 % (780524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.79/3.50 % (780524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.79/3.50 % (780524)CaDiCaL version: 2.1.3
% 21.79/3.50 % (780524)Termination reason: Instruction limit
% 21.79/3.50 % (780524)Termination phase: Saturation
% 21.79/3.50 % (780524)Time elapsed: 0.088 s
% 21.79/3.50 % (780524)Peak memory usage: 13 MB
% 21.79/3.50 % (780524)Instructions burned: 412 (million)
% 21.79/3.50 % (780526)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=2265849860:s2a=on:i=381:rtra=on_2973 on theBenchmark for (2973ds/381Mi)
% 21.79/3.50 % (780526)Instruction limit reached!
% 21.79/3.50 % (780526)------------------------------
% 21.79/3.50 % (780526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.79/3.50 % (780526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.79/3.50 % (780526)CaDiCaL version: 2.1.3
% 21.79/3.50 % (780526)Termination reason: Instruction limit
% 21.79/3.50 % (780526)Termination phase: Saturation
% 21.79/3.50 % (780526)Time elapsed: 0.089 s
% 21.79/3.50 % (780526)Peak memory usage: 12 MB
% 21.79/3.50 % (780526)Instructions burned: 385 (million)
% 21.79/3.50 % (780528)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3449123635:cond=on:i=324:rtra=on:ntd=on_2972 on theBenchmark for (2972ds/324Mi)
% 21.79/3.50 % (780528)Instruction limit reached!
% 21.79/3.50 % (780528)------------------------------
% 21.79/3.50 % (780528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.79/3.50 % (780528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.79/3.50 % (780528)CaDiCaL version: 2.1.3
% 21.79/3.50 % (780528)Termination reason: Instruction limit
% 22.80/3.64 % (780528)Termination phase: Saturation
% 22.80/3.64 % (780528)Time elapsed: 0.064 s
% 22.80/3.64 % (780528)Peak memory usage: 12 MB
% 22.80/3.64 % (780528)Instructions burned: 325 (million)
% 22.80/3.64 % (780530)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=3013920790:i=240:kws=inv_precedence:rtra=on_2971 on theBenchmark for (2971ds/240Mi)
% 22.80/3.64 % (780530)Refutation not found, incomplete strategy
% 22.80/3.64 % (780530)------------------------------
% 22.80/3.64 % (780530)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.80/3.64 % (780530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.80/3.64 % (780530)CaDiCaL version: 2.1.3
% 22.80/3.64 % (780530)Termination reason: Refutation not found, incomplete strategy
% 22.80/3.64 % (780530)Time elapsed: 0.0000 s
% 22.80/3.64 % (780530)Peak memory usage: 11 MB
% 22.80/3.64 % (780530)Instructions burned: 1 (million)
% 22.80/3.64 % (780530)------------------------------
% 22.80/3.64 % (780530)------------------------------
% 22.80/3.64 % (780532)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 22.80/3.64 % (780532)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3884927447:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2971 on theBenchmark for (2971ds/124Mi)
% 22.80/3.64 % (780532)Instruction limit reached!
% 22.80/3.64 % (780532)------------------------------
% 22.80/3.64 % (780532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.80/3.64 % (780532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.80/3.64 % (780532)CaDiCaL version: 2.1.3
% 22.80/3.64 % (780532)Termination reason: Instruction limit
% 22.80/3.64 % (780532)Termination phase: Saturation
% 22.80/3.64 % (780532)Time elapsed: 0.026 s
% 22.80/3.64 % (780532)Peak memory usage: 12 MB
% 22.80/3.64 % (780532)Instructions burned: 125 (million)
% 22.80/3.64 % (780534)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=3245783300:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2971 on theBenchmark for (2971ds/223Mi)
% 22.80/3.64 % (780534)Instruction limit reached!
% 22.80/3.64 % (780534)------------------------------
% 22.80/3.64 % (780534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.80/3.64 % (780534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.80/3.64 % (780534)CaDiCaL version: 2.1.3
% 22.80/3.64 % (780534)Termination reason: Instruction limit
% 22.80/3.64 % (780534)Termination phase: Saturation
% 22.80/3.64 % (780534)Time elapsed: 0.070 s
% 22.80/3.64 % (780534)Peak memory usage: 13 MB
% 22.80/3.64 % (780534)Instructions burned: 224 (million)
% 22.80/3.64 % (780536)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2845980515:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2970 on theBenchmark for (2970ds/282Mi)
% 22.80/3.64 % (780501)Instruction limit reached!
% 22.80/3.64 % (780501)------------------------------
% 22.80/3.64 % (780501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.80/3.64 % (780501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.80/3.64 % (780501)CaDiCaL version: 2.1.3
% 22.80/3.64 % (780501)Termination reason: Instruction limit
% 22.80/3.64 % (780501)Termination phase: Saturation
% 22.80/3.64 % (780501)Time elapsed: 0.760 s
% 22.80/3.64 % (780501)Peak memory usage: 14 MB
% 22.80/3.64 % (780501)Instructions burned: 1143 (million)
% 22.80/3.64 % (780538)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=1470736418:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2969 on theBenchmark for (2969ds/464Mi)
% 22.80/3.64 % (780538)Refutation not found, incomplete strategy
% 22.80/3.64 % (780538)------------------------------
% 22.80/3.64 % (780538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.80/3.64 % (780538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.80/3.64 % (780538)CaDiCaL version: 2.1.3
% 22.80/3.64 % (780538)Termination reason: Refutation not found, incomplete strategy
% 22.80/3.64 % (780538)Time elapsed: 0.001 s
% 22.80/3.64 % (780538)Peak memory usage: 11 MB
% 22.80/3.64 % (780538)Instructions burned: 1 (million)
% 22.80/3.64 % (780538)------------------------------
% 22.80/3.64 % (780538)------------------------------
% 22.80/3.64 % (780540)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=495479156:i=88:s2at=3:nm=2:rtra=on:rawr=on_2969 on theBenchmark for (2969ds/88Mi)
% 23.52/3.85 % (780515)Instruction limit reached!
% 23.52/3.85 % (780515)------------------------------
% 23.52/3.85 % (780515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.52/3.85 % (780515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.52/3.85 % (780515)CaDiCaL version: 2.1.3
% 23.52/3.85 % (780515)Termination reason: Instruction limit
% 23.52/3.85 % (780515)Termination phase: Saturation
% 23.52/3.85 % (780515)Time elapsed: 0.600 s
% 23.52/3.85 % (780515)Peak memory usage: 13 MB
% 23.52/3.85 % (780515)Instructions burned: 877 (million)
% 23.52/3.85 % (780540)Instruction limit reached!
% 23.52/3.85 % (780540)------------------------------
% 23.52/3.85 % (780540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.52/3.85 % (780540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.52/3.85 % (780540)CaDiCaL version: 2.1.3
% 23.52/3.85 % (780540)Termination reason: Instruction limit
% 23.52/3.85 % (780540)Termination phase: Saturation
% 23.52/3.85 % (780540)Time elapsed: 0.068 s
% 23.52/3.85 % (780540)Peak memory usage: 12 MB
% 23.52/3.85 % (780540)Instructions burned: 89 (million)
% 23.52/3.85 % (780542)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=273285986:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2968 on theBenchmark for (2968ds/280Mi)
% 23.52/3.85 % (780543)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 23.52/3.85 % (780543)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=2647033519:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2968 on theBenchmark for (2968ds/4386Mi)
% 23.52/3.85 % (780536)Instruction limit reached!
% 23.52/3.85 % (780536)------------------------------
% 23.52/3.85 % (780536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.52/3.85 % (780536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.52/3.85 % (780536)CaDiCaL version: 2.1.3
% 23.52/3.85 % (780536)Termination reason: Instruction limit
% 23.52/3.85 % (780536)Termination phase: Saturation
% 23.52/3.85 % (780536)Time elapsed: 0.206 s
% 23.52/3.85 % (780536)Peak memory usage: 13 MB
% 23.52/3.85 % (780536)Instructions burned: 284 (million)
% 23.52/3.85 % (780412)Instruction limit reached!
% 23.52/3.85 % (780412)------------------------------
% 23.52/3.85 % (780412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.52/3.85 % (780412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.52/3.85 % (780412)CaDiCaL version: 2.1.3
% 23.52/3.85 % (780412)Termination reason: Instruction limit
% 23.52/3.85 % (780412)Termination phase: Saturation
% 23.52/3.85 % (780412)Time elapsed: 1.970 s
% 23.52/3.85 % (780412)Peak memory usage: 16 MB
% 23.52/3.85 % (780412)Instructions burned: 2470 (million)
% 23.52/3.85 % (780546)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 23.52/3.85 % (780546)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 23.52/3.85 % (780546)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=2311444826:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2967 on theBenchmark for (2967ds/483Mi)
% 23.52/3.85 % (780546)Refutation not found, incomplete strategy
% 23.52/3.85 % (780546)------------------------------
% 23.52/3.85 % (780546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.52/3.85 % (780546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.52/3.85 % (780546)CaDiCaL version: 2.1.3
% 23.52/3.85 % (780546)Termination reason: Refutation not found, incomplete strategy
% 23.52/3.85 % (780546)Time elapsed: 0.001 s
% 23.52/3.85 % (780546)Peak memory usage: 12 MB
% 23.52/3.85 % (780546)------------------------------
% 23.52/3.85 % (780546)------------------------------
% 23.52/3.85 % (780547)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=2899292765:i=73:rtra=on_2967 on theBenchmark for (2967ds/73Mi)
% 23.52/3.85 % (780547)Refutation not found, incomplete strategy
% 23.52/3.85 % (780547)------------------------------
% 23.52/3.85 % (780547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.52/3.85 % (780547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.34/4.14 % (780547)CaDiCaL version: 2.1.3
% 26.34/4.14 % (780547)Termination reason: Refutation not found, incomplete strategy
% 26.34/4.14 % (780547)Time elapsed: 0.001 s
% 26.34/4.14 % (780547)Peak memory usage: 12 MB
% 26.34/4.14 % (780547)Instructions burned: 1 (million)
% 26.34/4.14 % (780547)------------------------------
% 26.34/4.14 % (780547)------------------------------
% 26.34/4.14 % (780551)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 26.34/4.14 % (780550)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=4081127441:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2967 on theBenchmark for (2967ds/176Mi)
% 26.34/4.14 % (780551)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=280370080:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2967 on theBenchmark for (2967ds/39Mi)
% 26.34/4.14 % (780551)Instruction limit reached!
% 26.34/4.14 % (780551)------------------------------
% 26.34/4.14 % (780551)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.34/4.14 % (780551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.34/4.14 % (780551)CaDiCaL version: 2.1.3
% 26.34/4.14 % (780551)Termination reason: Instruction limit
% 26.34/4.14 % (780551)Termination phase: Saturation
% 26.34/4.14 % (780551)Time elapsed: 0.025 s
% 26.34/4.14 % (780551)Peak memory usage: 12 MB
% 26.34/4.14 % (780551)Instructions burned: 41 (million)
% 26.34/4.14 % (780554)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2574352208:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2967 on theBenchmark for (2967ds/708Mi)
% 26.34/4.14 % (780343)Instruction limit reached!
% 26.34/4.14 % (780343)------------------------------
% 26.34/4.14 % (780343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.34/4.14 % (780343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.34/4.14 % (780343)CaDiCaL version: 2.1.3
% 26.34/4.14 % (780343)Termination reason: Instruction limit
% 26.34/4.14 % (780343)Termination phase: Saturation
% 26.34/4.14 % (780343)Time elapsed: 2.676 s
% 26.34/4.14 % (780343)Peak memory usage: 16 MB
% 26.34/4.14 % (780343)Instructions burned: 9841 (million)
% 26.34/4.14 % (780550)Instruction limit reached!
% 26.34/4.14 % (780550)------------------------------
% 26.34/4.14 % (780550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.34/4.14 % (780550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.34/4.14 % (780550)CaDiCaL version: 2.1.3
% 26.34/4.14 % (780550)Termination reason: Instruction limit
% 26.34/4.14 % (780550)Termination phase: Saturation
% 26.34/4.14 % (780550)Time elapsed: 0.078 s
% 26.34/4.14 % (780550)Peak memory usage: 12 MB
% 26.34/4.14 % (780550)Instructions burned: 176 (million)
% 26.34/4.14 % (780542)Instruction limit reached!
% 26.34/4.14 % (780542)------------------------------
% 26.34/4.14 % (780542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.34/4.14 % (780542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.34/4.14 % (780542)CaDiCaL version: 2.1.3
% 26.34/4.14 % (780542)Termination reason: Instruction limit
% 26.34/4.14 % (780542)Termination phase: Saturation
% 26.34/4.14 % (780542)Time elapsed: 0.199 s
% 26.34/4.14 % (780542)Peak memory usage: 12 MB
% 26.34/4.14 % (780542)Instructions burned: 280 (million)
% 26.34/4.14 % (780556)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
% 26.34/4.14 % (780556)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=1252854104:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2966 on theBenchmark for (2966ds/252Mi)
% 26.34/4.14 % (780558)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 26.34/4.14 % (780557)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=2986897577:i=823:fsr=off:rtra=on_2966 on theBenchmark for (2966ds/823Mi)
% 26.34/4.14 % (780558)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=2486739024:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2966 on theBenchmark for (2966ds/16202Mi)
% 26.34/4.14 % (780558)Refutation not found, incomplete strategy
% 26.34/4.14 % (780558)------------------------------
% 27.35/4.20 % (780558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.35/4.20 % (780558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.35/4.20 % (780558)CaDiCaL version: 2.1.3
% 27.35/4.20 % (780558)Termination reason: Refutation not found, incomplete strategy
% 27.35/4.20 % (780558)Time elapsed: 0.002 s
% 27.35/4.20 % (780558)Peak memory usage: 11 MB
% 27.35/4.20 % (780558)Instructions burned: 1 (million)
% 27.35/4.20 % (780558)------------------------------
% 27.35/4.20 % (780558)------------------------------
% 27.35/4.20 % (780562)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=3411273903:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2966 on theBenchmark for (2966ds/300Mi)
% 27.35/4.20 % (780556)Instruction limit reached!
% 27.35/4.20 % (780556)------------------------------
% 27.35/4.20 % (780556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.35/4.20 % (780556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.35/4.20 % (780556)CaDiCaL version: 2.1.3
% 27.35/4.20 % (780556)Termination reason: Instruction limit
% 27.35/4.20 % (780556)Termination phase: Saturation
% 27.35/4.20 % (780556)Time elapsed: 0.081 s
% 27.35/4.20 % (780556)Peak memory usage: 13 MB
% 27.35/4.20 % (780556)Instructions burned: 255 (million)
% 27.35/4.20 % (780497)Instruction limit reached!
% 27.35/4.20 % (780497)------------------------------
% 27.35/4.20 % (780497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.35/4.20 % (780497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.35/4.20 % (780497)CaDiCaL version: 2.1.3
% 27.35/4.20 % (780497)Termination reason: Instruction limit
% 27.35/4.20 % (780497)Termination phase: Saturation
% 27.35/4.20 % (780497)Time elapsed: 1.262 s
% 27.35/4.20 % (780497)Peak memory usage: 17 MB
% 27.35/4.20 % (780497)Instructions burned: 2240 (million)
% 27.35/4.20 % (780564)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 27.35/4.20 % (780564)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 27.35/4.20 % (780564)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=3333248888:i=177:add=on:bd=preordered:rtra=on:rawr=on_2965 on theBenchmark for (2965ds/177Mi)
% 27.35/4.20 % (780565)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=2623905561:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2965 on theBenchmark for (2965ds/715Mi)
% 27.35/4.20 % (780565)Refutation not found, incomplete strategy
% 27.35/4.20 % (780565)------------------------------
% 27.35/4.20 % (780565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.35/4.20 % (780565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.35/4.20 % (780565)CaDiCaL version: 2.1.3
% 27.35/4.20 % (780565)Termination reason: Refutation not found, incomplete strategy
% 27.35/4.20 % (780565)Time elapsed: 0.001 s
% 27.35/4.20 % (780565)Peak memory usage: 11 MB
% 27.35/4.20 % (780565)Instructions burned: 1 (million)
% 27.35/4.20 % (780565)------------------------------
% 27.35/4.20 % (780565)------------------------------
% 27.35/4.20 % (780568)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 27.35/4.21 % (780568)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 27.35/4.21 % (780568)dis+11_1_sil=128000:plsqc=3:cnfonf=lazy_gen:si=on:sp=const_max:lma=off:plsqr=19,3:lcm=predicate:uwa=off:fd=preordered:nwc=1:random_seed=693098844:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2964 on theBenchmark for (2964ds/230Mi)
% 27.35/4.21 % (780568)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 27.35/4.21 % (780564)Instruction limit reached!
% 27.35/4.21 % (780564)------------------------------
% 27.35/4.21 % (780564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.35/4.21 % (780564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.35/4.21 % (780564)CaDiCaL version: 2.1.3
% 27.35/4.21 % (780564)Termination reason: Instruction limit
% 27.35/4.21 % (780564)Termination phase: Saturation
% 27.35/4.21 % (780564)Time elapsed: 0.107 s
% 27.35/4.21 % (780564)Peak memory usage: 12 MB
% 27.35/4.21 % (780564)Instructions burned: 178 (million)
% 27.35/4.27 % (780568)Instruction limit reached!
% 27.35/4.27 % (780568)------------------------------
% 27.35/4.27 % (780568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.35/4.27 % (780568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.35/4.27 % (780568)CaDiCaL version: 2.1.3
% 27.35/4.27 % (780568)Termination reason: Instruction limit
% 27.35/4.27 % (780568)Termination phase: Saturation
% 27.35/4.27 % (780568)Time elapsed: 0.078 s
% 27.35/4.27 % (780568)Peak memory usage: 13 MB
% 27.35/4.27 % (780568)Instructions burned: 232 (million)
% 27.35/4.27 % (780570)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=113149985:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2963 on theBenchmark for (2963ds/606Mi)
% 27.35/4.27 % (780571)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 27.35/4.27 % (780571)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=912488500:lrd=on:i=841:nm=0:rtra=on_2963 on theBenchmark for (2963ds/841Mi)
% 27.35/4.27 % (780554)Instruction limit reached!
% 27.35/4.27 % (780554)------------------------------
% 27.35/4.27 % (780554)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.35/4.27 % (780554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.35/4.27 % (780554)CaDiCaL version: 2.1.3
% 27.35/4.27 % (780554)Termination reason: Instruction limit
% 27.35/4.27 % (780554)Termination phase: Saturation
% 27.35/4.27 % (780554)Time elapsed: 0.320 s
% 27.35/4.27 % (780554)Peak memory usage: 13 MB
% 27.35/4.27 % (780554)Instructions burned: 708 (million)
% 27.35/4.27 % (780562)Instruction limit reached!
% 27.35/4.27 % (780562)------------------------------
% 27.35/4.27 % (780562)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.35/4.27 % (780562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.35/4.27 % (780562)CaDiCaL version: 2.1.3
% 27.35/4.27 % (780562)Termination reason: Instruction limit
% 27.35/4.27 % (780562)Termination phase: Saturation
% 27.35/4.27 % (780562)Time elapsed: 0.236 s
% 27.35/4.27 % (780562)Peak memory usage: 12 MB
% 27.35/4.27 % (780562)Instructions burned: 301 (million)
% 27.35/4.27 % (780574)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=414780245:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2963 on theBenchmark for (2963ds/445Mi)
% 27.35/4.27 % (780576)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=2729002128:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2963 on theBenchmark for (2963ds/71Mi)
% 27.35/4.27 % (780576)Instruction limit reached!
% 27.35/4.27 % (780576)------------------------------
% 27.35/4.27 % (780576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.35/4.27 % (780576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.35/4.27 % (780576)CaDiCaL version: 2.1.3
% 27.35/4.27 % (780576)Termination reason: Instruction limit
% 27.35/4.27 % (780576)Termination phase: Saturation
% 27.35/4.27 % (780576)Time elapsed: 0.058 s
% 27.35/4.27 % (780576)Peak memory usage: 12 MB
% 27.35/4.27 % (780576)Instructions burned: 71 (million)
% 27.35/4.27 % (780578)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
% 27.35/4.27 % (780578)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 27.35/4.27 % (780578)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3733280607:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2962 on theBenchmark for (2962ds/100Mi)
% 27.35/4.27 % (780578)Instruction limit reached!
% 27.35/4.27 % (780578)------------------------------
% 27.35/4.27 % (780578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.35/4.27 % (780578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.35/4.27 % (780578)CaDiCaL version: 2.1.3
% 27.35/4.27 % (780578)Termination reason: Instruction limit
% 27.35/4.27 % (780578)Termination phase: Saturation
% 27.35/4.27 % (780578)Time elapsed: 0.082 s
% 27.35/4.27 % (780578)Peak memory usage: 12 MB
% 27.35/4.27 % (780578)Instructions burned: 100 (million)
% 27.35/4.27 % (780574)Instruction limit reached!
% 27.35/4.27 % (780574)------------------------------
% 28.24/4.55 % (780574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.24/4.55 % (780574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.24/4.55 % (780574)CaDiCaL version: 2.1.3
% 28.24/4.55 % (780574)Termination reason: Instruction limit
% 28.24/4.55 % (780574)Termination phase: Saturation
% 28.24/4.55 % (780574)Time elapsed: 0.233 s
% 28.24/4.55 % (780574)Peak memory usage: 14 MB
% 28.24/4.55 % (780574)Instructions burned: 447 (million)
% 28.24/4.55 % (780580)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(3) has been set then sine_level_split_queue(off) is equal to on
% 28.24/4.55 % (780580)lrs+2_128_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=const_max:sos=on:plsqr=32,1:spb=goal:uwa=interpreted_only:slsqc=3:random_seed=3241282918:i=1352:add=on:aac=none:rtra=on_2961 on theBenchmark for (2961ds/1352Mi)
% 28.24/4.55 % (780580)Refutation not found, incomplete strategy
% 28.24/4.55 % (780580)------------------------------
% 28.24/4.55 % (780580)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.24/4.55 % (780580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.24/4.55 % (780580)CaDiCaL version: 2.1.3
% 28.24/4.55 % (780580)Termination reason: Refutation not found, incomplete strategy
% 28.24/4.55 % (780580)Time elapsed: 0.002 s
% 28.24/4.55 % (780580)Peak memory usage: 11 MB
% 28.24/4.55 % (780580)Instructions burned: 2 (million)
% 28.24/4.55 % (780580)------------------------------
% 28.24/4.55 % (780580)------------------------------
% 28.24/4.55 % (780570)Instruction limit reached!
% 28.24/4.55 % (780570)------------------------------
% 28.24/4.55 % (780570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.24/4.55 % (780570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.24/4.55 % (780570)CaDiCaL version: 2.1.3
% 28.24/4.55 % (780570)Termination reason: Instruction limit
% 28.24/4.55 % (780570)Termination phase: Saturation
% 28.24/4.55 % (780570)Time elapsed: 0.293 s
% 28.24/4.55 % (780570)Peak memory usage: 13 MB
% 28.24/4.55 % (780570)Instructions burned: 608 (million)
% 28.24/4.55 % (780583)lrs+10_1_sil=128000:si=on:uwa=all:random_seed=23207628:i=1924:sd=2:kws=precedence:bd=all:rtra=on:ss=axioms:sgt=16_2960 on theBenchmark for (2960ds/1924Mi)
% 28.24/4.55 % (780581)lrs-1002_4:1_sfv=off:to=lpo:plsq=on:prc=on:e2e=on:si=on:hsqlw=5:ser=on:spb=goal:acc=on:uwa=off:foolp=on:s2agt=16:slsqc=1:slsq=on:random_seed=1026834640:hsq=on:hsqr=16,1:s2a=on:i=646:nm=16:rtra=on:gtg=exists_top:proc=on_2961 on theBenchmark for (2961ds/646Mi)
% 28.24/4.55 % (780583)Refutation not found, incomplete strategy
% 28.24/4.55 % (780583)------------------------------
% 28.24/4.55 % (780583)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.24/4.55 % (780583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.24/4.55 % (780583)CaDiCaL version: 2.1.3
% 28.24/4.55 % (780583)Termination reason: Refutation not found, incomplete strategy
% 28.24/4.55 % (780583)Time elapsed: 0.001 s
% 28.24/4.55 % (780583)Peak memory usage: 11 MB
% 28.24/4.55 % (780583)------------------------------
% 28.24/4.55 % (780583)------------------------------
% 28.24/4.55 % (780584)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2410664581:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2960 on theBenchmark for (2960ds/984Mi)
% 28.24/4.55 % (780584)Refutation not found, incomplete strategy
% 28.24/4.55 % (780584)------------------------------
% 28.24/4.55 % (780584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.24/4.55 % (780584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.24/4.55 % (780584)CaDiCaL version: 2.1.3
% 28.24/4.55 % (780584)Termination reason: Refutation not found, incomplete strategy
% 28.24/4.55 % (780584)Time elapsed: 0.001 s
% 28.24/4.55 % (780584)Peak memory usage: 11 MB
% 28.24/4.55 % (780584)Instructions burned: 1 (million)
% 28.24/4.55 % (780584)------------------------------
% 28.24/4.55 % (780584)------------------------------
% 28.24/4.55 % (780587)dis+10_128_sil=128000:drc=ordering:fde=unused:si=on:lma=off:uwa=interpreted_only:avsqc=4:random_seed=2178006208:avsq=on:i=592:add=off:kws=inv_frequency:bd=preordered:rtra=on_2960 on theBenchmark for (2960ds/592Mi)
% 28.24/4.55 % (780557)Instruction limit reached!
% 28.24/4.55 % (780557)------------------------------
% 28.24/4.55 % (780557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.24/4.55 % (780557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.85/4.73 % (780557)CaDiCaL version: 2.1.3
% 29.85/4.73 % (780557)Termination reason: Instruction limit
% 29.85/4.73 % (780557)Termination phase: Saturation
% 29.85/4.73 % (780557)Time elapsed: 0.570 s
% 29.85/4.73 % (780557)Peak memory usage: 13 MB
% 29.85/4.73 % (780557)Instructions burned: 823 (million)
% 29.85/4.73 % (780589)dis+1010_7_si=on:uwa=off:nwc=1.2:random_seed=900141565:st=2.5:i=872:sd=4:fsr=off:rtra=on:ss=axioms:c=on:ntd=on_2960 on theBenchmark for (2960ds/872Mi)
% 29.85/4.73 % (780589)Refutation not found, incomplete strategy
% 29.85/4.73 % (780589)------------------------------
% 29.85/4.73 % (780589)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.85/4.73 % (780589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.85/4.73 % (780589)CaDiCaL version: 2.1.3
% 29.85/4.73 % (780589)Termination reason: Refutation not found, incomplete strategy
% 29.85/4.73 % (780589)Time elapsed: 0.001 s
% 29.85/4.73 % (780589)Peak memory usage: 11 MB
% 29.85/4.73 % (780589)------------------------------
% 29.85/4.73 % (780589)------------------------------
% 29.85/4.73 % (780571)Instruction limit reached!
% 29.85/4.73 % (780571)------------------------------
% 29.85/4.73 % (780571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.85/4.73 % (780571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.85/4.73 % (780571)CaDiCaL version: 2.1.3
% 29.85/4.73 % (780571)Termination reason: Instruction limit
% 29.85/4.73 % (780571)Termination phase: Saturation
% 29.85/4.73 % (780571)Time elapsed: 0.337 s
% 29.85/4.73 % (780571)Peak memory usage: 13 MB
% 29.85/4.73 % (780571)Instructions burned: 842 (million)
% 29.85/4.73 % (780593)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 29.85/4.73 % (780591)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 29.85/4.73 % (780593)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=2777374584:i=244:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2960 on theBenchmark for (2960ds/244Mi)
% 29.85/4.73 % (780593)Refutation not found, incomplete strategy
% 29.85/4.73 % (780593)------------------------------
% 29.85/4.73 % (780593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.85/4.73 % (780593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.85/4.73 % (780593)CaDiCaL version: 2.1.3
% 29.85/4.73 % (780593)Termination reason: Refutation not found, incomplete strategy
% 29.85/4.73 % (780593)Time elapsed: 0.003 s
% 29.85/4.73 % (780593)Peak memory usage: 11 MB
% 29.85/4.73 % (780593)Instructions burned: 2 (million)
% 29.85/4.73 % (780593)------------------------------
% 29.85/4.73 % (780593)------------------------------
% 29.85/4.73 % (780591)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=482750051:i=999:add=on:rtra=on_2960 on theBenchmark for (2960ds/999Mi)
% 29.85/4.73 % (780594)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=4279323635:cts=off:i=113:fsr=off:rtra=on:fe=abstraction_2960 on theBenchmark for (2960ds/113Mi)
% 29.85/4.73 % (780594)Refutation not found, incomplete strategy
% 29.85/4.73 % (780594)------------------------------
% 29.85/4.73 % (780594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.85/4.73 % (780594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.85/4.73 % (780594)CaDiCaL version: 2.1.3
% 29.85/4.73 % (780594)Termination reason: Refutation not found, incomplete strategy
% 29.85/4.73 % (780594)Time elapsed: 0.002 s
% 29.85/4.73 % (780594)Peak memory usage: 11 MB
% 29.85/4.73 % (780594)Instructions burned: 1 (million)
% 29.85/4.73 % (780594)------------------------------
% 29.85/4.73 % (780594)------------------------------
% 29.85/4.73 % (780599)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1431560210:st=2:i=5026:sd=1:rtra=on:ss=axioms_2959 on theBenchmark for (2959ds/5026Mi)
% 29.85/4.73 % (780599)Refutation not found, incomplete strategy
% 29.85/4.73 % (780599)------------------------------
% 29.85/4.73 % (780599)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.85/4.73 % (780599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.85/4.73 % (780599)CaDiCaL version: 2.1.3
% 30.62/4.98 % (780599)Termination reason: Refutation not found, incomplete strategy
% 30.62/4.98 % (780599)Time elapsed: 0.001 s
% 30.62/4.98 % (780599)Peak memory usage: 12 MB
% 30.62/4.98 % (780599)------------------------------
% 30.62/4.98 % (780599)------------------------------
% 30.62/4.98 % (780601)WARNING Broken Constraint: if ho_split_queue_ratios(1,4) has been set then ho_split_queue(off) is equal to on
% 30.62/4.98 % (780601)dis+1004_8_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_frequency:sos=on:uwa=off:random_seed=710825072:hsqr=1,4:i=763:bd=preordered:nm=0:rtra=on:bet=on:ss=axioms_2959 on theBenchmark for (2959ds/763Mi)
% 30.62/4.98 % (780601)Refutation not found, incomplete strategy
% 30.62/4.98 % (780601)------------------------------
% 30.62/4.98 % (780601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.62/4.98 % (780601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.62/4.98 % (780601)CaDiCaL version: 2.1.3
% 30.62/4.98 % (780601)Termination reason: Refutation not found, incomplete strategy
% 30.62/4.98 % (780601)Time elapsed: 0.001 s
% 30.62/4.98 % (780601)Peak memory usage: 11 MB
% 30.62/4.98 % (780601)Instructions burned: 1 (million)
% 30.62/4.98 % (780601)------------------------------
% 30.62/4.98 % (780601)------------------------------
% 30.62/4.98 % (780596)lrs+10_1_sil=128000:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1977170736:i=7795:sd=2:nm=16:rtra=on:ss=axioms_2960 on theBenchmark for (2960ds/7795Mi)
% 30.62/4.98 % (780596)Refutation not found, incomplete strategy
% 30.62/4.98 % (780596)------------------------------
% 30.62/4.98 % (780596)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.62/4.98 % (780596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.62/4.98 % (780596)CaDiCaL version: 2.1.3
% 30.62/4.98 % (780596)Termination reason: Refutation not found, incomplete strategy
% 30.62/4.98 % (780596)Time elapsed: 0.001 s
% 30.62/4.98 % (780596)Peak memory usage: 11 MB
% 30.62/4.98 % (780603)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2591068520:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2959 on theBenchmark for (2959ds/1144Mi)
% 30.62/4.98 % (780603)Refutation not found, incomplete strategy
% 30.62/4.98 % (780603)------------------------------
% 30.62/4.98 % (780603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.62/4.98 % (780603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.62/4.98 % (780603)CaDiCaL version: 2.1.3
% 30.62/4.98 % (780603)Termination reason: Refutation not found, incomplete strategy
% 30.62/4.98 % (780603)Time elapsed: 0.0000 s
% 30.62/4.98 % (780603)Peak memory usage: 11 MB
% 30.62/4.98 % (780603)------------------------------
% 30.62/4.98 % (780603)------------------------------
% 30.62/4.98 % (780596)------------------------------
% 30.62/4.98 % (780596)------------------------------
% 30.62/4.98 % (780606)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 30.62/4.98 % (780606)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=3947727801:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2959 on theBenchmark for (2959ds/52Mi)
% 30.62/4.98 % (780607)dis+1010_1_sil=128000:si=on:etr=on:uwa=off:random_seed=580118556:i=1724:fsr=off:rtra=on:fe=abstraction_2959 on theBenchmark for (2959ds/1724Mi)
% 30.62/4.98 % (780606)Instruction limit reached!
% 30.62/4.98 % (780606)------------------------------
% 30.62/4.98 % (780606)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.62/4.98 % (780606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.62/4.98 % (780606)CaDiCaL version: 2.1.3
% 30.62/4.98 % (780606)Termination reason: Instruction limit
% 30.62/4.98 % (780606)Termination phase: Saturation
% 30.62/4.98 % (780606)Time elapsed: 0.059 s
% 30.62/4.98 % (780606)Peak memory usage: 12 MB
% 30.62/4.98 % (780606)Instructions burned: 52 (million)
% 30.62/4.98 % (780610)dis-1004_128_to=kbo:sil=128000:tgt=full:si=on:fdtod=off:sp=const_frequency:spb=goal:uwa=off:slsqc=3:slsq=on:random_seed=2731851010:i=439:add=on:slsql=off:rtra=on:ntd=on_2958 on theBenchmark for (2958ds/439Mi)
% 30.62/4.98 % (780587)Instruction limit reached!
% 30.62/4.98 % (780587)------------------------------
% 30.62/4.98 % (780587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.62/4.98 % (780587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.97/5.42 % (780587)CaDiCaL version: 2.1.3
% 34.97/5.42 % (780587)Termination reason: Instruction limit
% 34.97/5.42 % (780587)Termination phase: Saturation
% 34.97/5.42 % (780587)Time elapsed: 0.347 s
% 34.97/5.42 % (780587)Peak memory usage: 12 MB
% 34.97/5.42 % (780587)Instructions burned: 593 (million)
% 34.97/5.42 % (780581)Instruction limit reached!
% 34.97/5.42 % (780581)------------------------------
% 34.97/5.42 % (780581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.97/5.42 % (780581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.97/5.42 % (780581)CaDiCaL version: 2.1.3
% 34.97/5.42 % (780581)Termination reason: Instruction limit
% 34.97/5.42 % (780581)Termination phase: Saturation
% 34.97/5.42 % (780581)Time elapsed: 0.387 s
% 34.97/5.42 % (780581)Peak memory usage: 14 MB
% 34.97/5.42 % (780581)Instructions burned: 647 (million)
% 34.97/5.42 % (780612)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=1353205628:i=6395:sd=1:rtra=on:ss=axioms_2956 on theBenchmark for (2956ds/6395Mi)
% 34.97/5.42 % (780612)Refutation not found, incomplete strategy
% 34.97/5.42 % (780612)------------------------------
% 34.97/5.42 % (780612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.97/5.42 % (780612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.97/5.42 % (780612)CaDiCaL version: 2.1.3
% 34.97/5.42 % (780612)Termination reason: Refutation not found, incomplete strategy
% 34.97/5.42 % (780612)Time elapsed: 0.001 s
% 34.97/5.42 % (780612)Peak memory usage: 11 MB
% 34.97/5.42 % (780612)------------------------------
% 34.97/5.42 % (780612)------------------------------
% 34.97/5.42 % (780613)WARNING Broken Constraint: if ho_split_queue_lambda_weight(5) has been set then ho_split_queue(off) is equal to on
% 34.97/5.42 % (780613)ott+2_16:1_sil=128000:si=on:hsqlw=5:sos=on:urr=on:bce=on:uwa=off:random_seed=2295238186:i=6762:add=off:bd=all:rtra=on:ss=axioms:ntd=on_2956 on theBenchmark for (2956ds/6762Mi)
% 34.97/5.42 % (780613)Refutation not found, incomplete strategy
% 34.97/5.42 % (780613)------------------------------
% 34.97/5.42 % (780613)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.97/5.42 % (780613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.97/5.42 % (780613)CaDiCaL version: 2.1.3
% 34.97/5.42 % (780613)Termination reason: Refutation not found, incomplete strategy
% 34.97/5.42 % (780613)Time elapsed: 0.001 s
% 34.97/5.42 % (780613)Peak memory usage: 11 MB
% 34.97/5.42 % (780613)------------------------------
% 34.97/5.42 % (780613)------------------------------
% 34.97/5.42 % (780615)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 34.97/5.42 % (780615)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=378376838:s2a=on:i=376:add=on:rtra=on:fe=axiom:fdi=1024_2956 on theBenchmark for (2956ds/376Mi)
% 34.97/5.42 % (780617)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=1591219376:i=965:bd=all:ins=4:rtra=on_2956 on theBenchmark for (2956ds/965Mi)
% 34.97/5.42 % (780591)Instruction limit reached!
% 34.97/5.42 % (780591)------------------------------
% 34.97/5.42 % (780591)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.97/5.42 % (780591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.97/5.42 % (780591)CaDiCaL version: 2.1.3
% 34.97/5.42 % (780591)Termination reason: Instruction limit
% 34.97/5.42 % (780591)Termination phase: Saturation
% 34.97/5.42 % (780591)Time elapsed: 0.442 s
% 34.97/5.42 % (780591)Peak memory usage: 14 MB
% 34.97/5.42 % (780591)Instructions burned: 1000 (million)
% 34.97/5.42 % (780620)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2392932824:i=5013:sd=1:rtra=on:ss=axioms:sgt=64_2955 on theBenchmark for (2955ds/5013Mi)
% 34.97/5.42 % (780620)Refutation not found, incomplete strategy
% 34.97/5.42 % (780620)------------------------------
% 34.97/5.42 % (780620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.97/5.42 % (780620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.97/5.42 % (780620)CaDiCaL version: 2.1.3
% 34.97/5.42 % (780620)Termination reason: Refutation not found, incomplete strategy
% 34.97/5.42 % (780620)Time elapsed: 0.001 s
% 34.97/5.42 % (780620)Peak memory usage: 11 MB
% 34.97/5.42 % (780620)------------------------------
% 34.97/5.42 % (780620)------------------------------
% 36.86/5.82 % (780610)Instruction limit reached!
% 36.86/5.82 % (780610)------------------------------
% 36.86/5.82 % (780610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.86/5.82 % (780610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.86/5.82 % (780610)CaDiCaL version: 2.1.3
% 36.86/5.82 % (780610)Termination reason: Instruction limit
% 36.86/5.82 % (780610)Termination phase: Saturation
% 36.86/5.82 % (780610)Time elapsed: 0.277 s
% 36.86/5.82 % (780610)Peak memory usage: 12 MB
% 36.86/5.82 % (780610)Instructions burned: 439 (million)
% 36.86/5.82 % (780622)dis+2_1_tgt=full:si=on:uwa=one_side_interpreted:random_seed=1999154459:i=1583:kws=inv_frequency:bd=preordered:nm=0:rtra=on_2955 on theBenchmark for (2955ds/1583Mi)
% 36.86/5.82 % (780623)WARNING Broken Constraint: if sine_level_split_queue_ratios(1,32) has been set then sine_level_split_queue(off) is equal to on
% 36.86/5.82 % (780623)WARNING Broken Constraint: if ho_split_queue_cutoffs(2) has been set then ho_split_queue(off) is equal to on
% 36.86/5.82 % (780623)WARNING Broken Constraint: if sine_to_age_generality_threshold(16) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 36.86/5.82 % (780623)WARNING Broken Constraint: if ho_split_queue_ratios(4,1) has been set then ho_split_queue(off) is equal to on
% 36.86/5.82 % (780623)ott+1002_1_slsqr=1,32:sil=128000:fde=none:e2e=on:hsqc=2:si=on:sp=const_min:sos=on:uwa=interpreted_only:s2agt=16:chr=on:random_seed=1789227531:hsqr=4,1:avsq=on:cond=on:i=1774:add=on:avsqr=1,16:kws=arity_squared:nm=120:rtra=on:fe=abstraction:ss=axioms_2955 on theBenchmark for (2955ds/1774Mi)
% 36.86/5.82 % (780623)Refutation not found, incomplete strategy
% 36.86/5.82 % (780623)------------------------------
% 36.86/5.82 % (780623)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.86/5.82 % (780623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.86/5.82 % (780623)CaDiCaL version: 2.1.3
% 36.86/5.82 % (780623)Termination reason: Refutation not found, incomplete strategy
% 36.86/5.82 % (780623)Time elapsed: 0.001 s
% 36.86/5.82 % (780623)Peak memory usage: 11 MB
% 36.86/5.82 % (780623)------------------------------
% 36.86/5.82 % (780623)------------------------------
% 36.86/5.82 % (780626)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1625357369:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2954 on theBenchmark for (2954ds/515Mi)
% 36.86/5.82 % (780626)Refutation not found, incomplete strategy
% 36.86/5.82 % (780626)------------------------------
% 36.86/5.82 % (780626)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.86/5.82 % (780626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.86/5.82 % (780626)CaDiCaL version: 2.1.3
% 36.86/5.82 % (780626)Termination reason: Refutation not found, incomplete strategy
% 36.86/5.82 % (780626)Time elapsed: 0.001 s
% 36.86/5.82 % (780626)Peak memory usage: 12 MB
% 36.86/5.82 % (780626)------------------------------
% 36.86/5.82 % (780626)------------------------------
% 36.86/5.82 % (780628)WARNING Broken Constraint: if sine_to_age_generality_threshold(60) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 36.86/5.82 % (780628)lrs-30_5:1_sil=128000:drc=off:sas=cadical:si=on:lma=off:cbe=off:uwa=one_side_interpreted:s2agt=60:lwlo=on:random_seed=3502647692:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_2954 on theBenchmark for (2954ds/1297Mi)
% 36.86/5.82 % (780615)Instruction limit reached!
% 36.86/5.82 % (780615)------------------------------
% 36.86/5.82 % (780615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.86/5.82 % (780615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.86/5.82 % (780615)CaDiCaL version: 2.1.3
% 36.86/5.82 % (780615)Termination reason: Instruction limit
% 36.86/5.82 % (780615)Termination phase: Saturation
% 36.86/5.82 % (780615)Time elapsed: 0.342 s
% 36.86/5.82 % (780615)Peak memory usage: 14 MB
% 36.86/5.82 % (780615)Instructions burned: 377 (million)
% 36.86/5.82 % (780630)dis+1002_1_to=lpo:drc=ordering:fde=none:bsd=on:si=on:ser=on:sp=const_min:cbe=off:uwa=off:flr=on:random_seed=401948044:s2a=on:i=611:rtra=on:gsp=on_2952 on theBenchmark for (2952ds/611Mi)
% 36.86/5.82 % (780630)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 37.14/6.01 % (780617)Instruction limit reached!
% 37.14/6.01 % (780617)------------------------------
% 37.14/6.01 % (780617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.14/6.01 % (780617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.14/6.01 % (780617)CaDiCaL version: 2.1.3
% 37.14/6.01 % (780617)Termination reason: Instruction limit
% 37.14/6.01 % (780617)Termination phase: Saturation
% 37.14/6.01 % (780617)Time elapsed: 0.390 s
% 37.14/6.01 % (780617)Peak memory usage: 15 MB
% 37.14/6.01 % (780617)Instructions burned: 968 (million)
% 37.14/6.01 % (780632)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 37.14/6.01 % (780632)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=4037650771:i=72:bd=all:rtra=on_2952 on theBenchmark for (2952ds/72Mi)
% 37.14/6.01 % (780632)Refutation not found, incomplete strategy
% 37.14/6.01 % (780632)------------------------------
% 37.14/6.01 % (780632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.14/6.01 % (780632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.14/6.01 % (780632)CaDiCaL version: 2.1.3
% 37.14/6.01 % (780632)Termination reason: Refutation not found, incomplete strategy
% 37.14/6.01 % (780632)Time elapsed: 0.001 s
% 37.14/6.01 % (780632)Peak memory usage: 11 MB
% 37.14/6.01 % (780632)Instructions burned: 1 (million)
% 37.14/6.01 % (780632)------------------------------
% 37.14/6.01 % (780632)------------------------------
% 37.14/6.01 % (780634)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=1225409268:hsq=on:hsqr=16,1:s2a=on:i=6580:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2952 on theBenchmark for (2952ds/6580Mi)
% 37.14/6.01 % (780630)Instruction limit reached!
% 37.14/6.01 % (780630)------------------------------
% 37.14/6.01 % (780630)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.14/6.01 % (780630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.14/6.01 % (780630)CaDiCaL version: 2.1.3
% 37.14/6.01 % (780630)Termination reason: Instruction limit
% 37.14/6.01 % (780630)Termination phase: Saturation
% 37.14/6.01 % (780630)Time elapsed: 0.336 s
% 37.14/6.01 % (780630)Peak memory usage: 13 MB
% 37.14/6.01 % (780630)Instructions burned: 614 (million)
% 37.14/6.01 % (780607)Instruction limit reached!
% 37.14/6.01 % (780607)------------------------------
% 37.14/6.01 % (780607)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.14/6.01 % (780607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.14/6.01 % (780607)CaDiCaL version: 2.1.3
% 37.14/6.01 % (780607)Termination reason: Instruction limit
% 37.14/6.01 % (780607)Termination phase: Saturation
% 37.14/6.01 % (780607)Time elapsed: 0.963 s
% 37.14/6.01 % (780607)Peak memory usage: 13 MB
% 37.14/6.01 % (780607)Instructions burned: 1726 (million)
% 37.14/6.01 % (780636)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=2904953137:i=6209:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2949 on theBenchmark for (2949ds/6209Mi)
% 37.14/6.01 % (780636)Refutation not found, incomplete strategy
% 37.14/6.01 % (780636)------------------------------
% 37.14/6.01 % (780636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.14/6.01 % (780636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.14/6.01 % (780636)CaDiCaL version: 2.1.3
% 37.14/6.01 % (780636)Termination reason: Refutation not found, incomplete strategy
% 37.14/6.01 % (780636)Time elapsed: 0.001 s
% 37.14/6.01 % (780636)Peak memory usage: 11 MB
% 37.14/6.01 % (780636)------------------------------
% 37.14/6.01 % (780636)------------------------------
% 37.14/6.01 % (780637)lrs+1002_14_sil=128000:e2e=on:si=on:urr=on:nwc=1.2:random_seed=4191662188:cond=fast:i=1003:bd=all:fsr=off:rtra=on:sup=off_2949 on theBenchmark for (2949ds/1003Mi)
% 37.14/6.01 % (780639)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 37.14/6.01 % (780639)ott+1002_16_sil=128000:si=on:random_seed=1672733761:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2949 on theBenchmark for (2949ds/409Mi)
% 37.14/6.01 % (780628)Instruction limit reached!
% 37.14/6.01 % (780628)------------------------------
% 37.14/6.01 % (780628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.14/6.01 % (780628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.44/6.42 % (780628)CaDiCaL version: 2.1.3
% 42.44/6.42 % (780628)Termination reason: Instruction limit
% 42.44/6.42 % (780628)Termination phase: Saturation
% 42.44/6.42 % (780628)Time elapsed: 0.571 s
% 42.44/6.42 % (780628)Peak memory usage: 12 MB
% 42.44/6.42 % (780628)Instructions burned: 1298 (million)
% 42.44/6.42 % (780642)ott+10_1024_sil=128000:tgt=ground:cnfonf=lazy_pi_sigma_gen:si=on:sp=const_frequency:sos=on:lma=off:bsr=on:uwa=one_side_interpreted:nwc=20:random_seed=429544425:cond=on:i=403:kws=precedence:erml=3:bs=unit_only:bd=all:rtra=on:ss=axioms:er=known:ntd=on_2948 on theBenchmark for (2948ds/403Mi)
% 42.44/6.42 % (780642)Refutation not found, incomplete strategy
% 42.44/6.42 % (780642)------------------------------
% 42.44/6.42 % (780642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.44/6.42 % (780642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.44/6.42 % (780642)CaDiCaL version: 2.1.3
% 42.44/6.42 % (780642)Termination reason: Refutation not found, incomplete strategy
% 42.44/6.42 % (780642)Time elapsed: 0.001 s
% 42.44/6.42 % (780642)Peak memory usage: 11 MB
% 42.44/6.42 % (780642)Instructions burned: 1 (million)
% 42.44/6.42 % (780642)------------------------------
% 42.44/6.42 % (780642)------------------------------
% 42.44/6.42 % (780644)lrs+10_1_sil=128000:fde=none:cnfonf=lazy_pi_sigma_gen:si=on:random_seed=2931380427:st=2:i=6843:sd=2:bd=all:rtra=on:sup=off:ss=axioms_2948 on theBenchmark for (2948ds/6843Mi)
% 42.44/6.42 % (780644)Refutation not found, incomplete strategy
% 42.44/6.42 % (780644)------------------------------
% 42.44/6.42 % (780644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.44/6.42 % (780644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.44/6.42 % (780644)CaDiCaL version: 2.1.3
% 42.44/6.42 % (780644)Termination reason: Refutation not found, incomplete strategy
% 42.44/6.42 % (780644)Time elapsed: 0.001 s
% 42.44/6.42 % (780644)Peak memory usage: 11 MB
% 42.44/6.42 % (780644)Instructions burned: 1 (million)
% 42.44/6.42 % (780644)------------------------------
% 42.44/6.42 % (780644)------------------------------
% 42.44/6.42 % (780646)lrs+10_2:1_si=on:random_seed=3511013228:s2a=on:i=506:rtra=on:fe=abstraction_2947 on theBenchmark for (2947ds/506Mi)
% 42.44/6.42 % (780639)Instruction limit reached!
% 42.44/6.42 % (780639)------------------------------
% 42.44/6.42 % (780639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.44/6.42 % (780639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.44/6.42 % (780639)CaDiCaL version: 2.1.3
% 42.44/6.42 % (780639)Termination reason: Instruction limit
% 42.44/6.42 % (780639)Termination phase: Saturation
% 42.44/6.42 % (780639)Time elapsed: 0.265 s
% 42.44/6.42 % (780639)Peak memory usage: 13 MB
% 42.44/6.42 % (780639)Instructions burned: 409 (million)
% 42.44/6.42 % (780650)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=4288489846:uwa_fpi=on:i=888:doe=on:bd=preordered:rtra=on:fsd=on_2946 on theBenchmark for (2946ds/888Mi)
% 42.44/6.42 % (780646)Instruction limit reached!
% 42.44/6.42 % (780646)------------------------------
% 42.44/6.42 % (780646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.44/6.42 % (780646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.44/6.42 % (780646)CaDiCaL version: 2.1.3
% 42.44/6.42 % (780646)Termination reason: Instruction limit
% 42.44/6.42 % (780646)Termination phase: Saturation
% 42.44/6.42 % (780646)Time elapsed: 0.262 s
% 42.44/6.42 % (780646)Peak memory usage: 13 MB
% 42.44/6.42 % (780646)Instructions burned: 508 (million)
% 42.44/6.42 % (780655)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 42.44/6.42 % (780655)ott+1002_3:2_to=kbo:sil=128000:cnfonf=lazy_gen:si=on:sp=reverse_frequency:lma=off:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=1.5:random_seed=2745214464:cond=fast:i=416:fgj=on:bd=preordered:rtra=on_2945 on theBenchmark for (2945ds/416Mi)
% 42.44/6.42 % (780622)Instruction limit reached!
% 42.44/6.42 % (780622)------------------------------
% 42.44/6.42 % (780622)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.44/6.42 % (780622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.44/6.42 % (780622)CaDiCaL version: 2.1.3
% 42.44/6.42 % (780622)Termination reason: Instruction limit
% 42.44/6.42 % (780622)Termination phase: Saturation
% 43.50/6.66 % (780622)Time elapsed: 1.060 s
% 43.50/6.66 % (780622)Peak memory usage: 13 MB
% 43.50/6.66 % (780622)Instructions burned: 1583 (million)
% 43.50/6.66 % (780657)dis+10_3:2_sfv=off:to=kbo:plsq=on:fde=unused:e2e=on:si=on:sp=reverse_frequency:acc=on:uwa=off:fd=preordered:slsqc=1:pe=on:slsq=on:random_seed=1974133517:hsq=on:hsqr=16,1:avsq=on:s2a=on:i=13534:hsql=off:nm=16:nicw=on:ins=20:rtra=on:ss=axioms:ntd=on_2944 on theBenchmark for (2944ds/13534Mi)
% 43.50/6.66 % (780657)Refutation not found, incomplete strategy
% 43.50/6.66 % (780657)------------------------------
% 43.50/6.66 % (780657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.50/6.66 % (780657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.50/6.66 % (780657)CaDiCaL version: 2.1.3
% 43.50/6.66 % (780657)Termination reason: Refutation not found, incomplete strategy
% 43.50/6.66 % (780657)Time elapsed: 0.001 s
% 43.50/6.66 % (780657)Peak memory usage: 11 MB
% 43.50/6.66 % (780657)------------------------------
% 43.50/6.66 % (780657)------------------------------
% 43.50/6.66 % (780659)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(10) has been set then forward_subsumption_demodulation(off) is equal to on
% 43.50/6.66 % (780659)dis+1002_3_tgt=ground:cnfonf=lazy_simp:si=on:sp=unary_first:cbe=off:uwa=ground:updr=off:random_seed=4235187134:i=206:fgj=on:hud=10:nm=30:rtra=on:fsdmm=10_2943 on theBenchmark for (2943ds/206Mi)
% 43.50/6.66 % (780655)Instruction limit reached!
% 43.50/6.66 % (780655)------------------------------
% 43.50/6.66 % (780655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.50/6.66 % (780655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.50/6.66 % (780655)CaDiCaL version: 2.1.3
% 43.50/6.66 % (780655)Termination reason: Instruction limit
% 43.50/6.66 % (780655)Termination phase: Saturation
% 43.50/6.66 % (780655)Time elapsed: 0.198 s
% 43.50/6.66 % (780655)Peak memory usage: 14 MB
% 43.50/6.66 % (780655)Instructions burned: 416 (million)
% 43.50/6.66 % (780659)Instruction limit reached!
% 43.50/6.66 % (780659)------------------------------
% 43.50/6.66 % (780659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.50/6.66 % (780659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.50/6.66 % (780659)CaDiCaL version: 2.1.3
% 43.50/6.66 % (780659)Termination reason: Instruction limit
% 43.50/6.66 % (780659)Termination phase: Saturation
% 43.50/6.66 % (780659)Time elapsed: 0.076 s
% 43.50/6.66 % (780659)Peak memory usage: 12 MB
% 43.50/6.66 % (780659)Instructions burned: 207 (million)
% 43.50/6.66 % (780637)Instruction limit reached!
% 43.50/6.66 % (780637)------------------------------
% 43.50/6.66 % (780637)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.50/6.66 % (780637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.50/6.66 % (780637)CaDiCaL version: 2.1.3
% 43.50/6.66 % (780637)Termination reason: Instruction limit
% 43.50/6.66 % (780637)Termination phase: Saturation
% 43.50/6.66 % (780637)Time elapsed: 0.622 s
% 43.50/6.66 % (780637)Peak memory usage: 13 MB
% 43.50/6.66 % (780637)Instructions burned: 1003 (million)
% 43.50/6.66 % (780650)Instruction limit reached!
% 43.50/6.66 % (780650)------------------------------
% 43.50/6.66 % (780650)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.50/6.66 % (780650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.50/6.66 % (780650)CaDiCaL version: 2.1.3
% 43.50/6.66 % (780650)Termination reason: Instruction limit
% 43.50/6.66 % (780650)Termination phase: Saturation
% 43.50/6.66 % (780650)Time elapsed: 0.331 s
% 43.50/6.66 % (780650)Peak memory usage: 12 MB
% 43.50/6.66 % (780650)Instructions burned: 890 (million)
% 43.50/6.66 % (780661)dis+1010_1_sfv=off:slsqr=2,1:to=kbo:plsq=on:cnfonf=lazy_simp:si=on:cbe=off:uwa=hol:nwc=2:s2agt=16:slsq=on:random_seed=797674583:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2295:avsqr=1,16:aac=none:hud=3:rtra=on_2942 on theBenchmark for (2942ds/2295Mi)
% 43.50/6.66 % (780662)ott+1010_1_to=lpo:sil=128000:fde=none:si=on:sp=unary_first:uwa=off:nwc=1:random_seed=1229869209:i=637:piset=not:ep=RST:bd=all:av=off:rtra=on_2942 on theBenchmark for (2942ds/637Mi)
% 43.50/6.66 % (780664)lrs-1004_16_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:lma=off:uwa=off:random_seed=4241266729:i=1801:bd=preordered:nm=32:rtra=on:fdi=1024_2942 on theBenchmark for (2942ds/1801Mi)
% 43.50/6.66 % (780663)dis+1002_15:31_sil=128000:cnfonf=lazy_not_gen:si=on:cbe=off:uwa=off:random_seed=3493323151:hsq=on:i=667:rtra=on:ixr=off_2942 on theBenchmark for (2942ds/667Mi)
% 51.55/7.71 % (780509)Instruction limit reached!
% 51.55/7.71 % (780509)------------------------------
% 51.55/7.71 % (780509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.55/7.71 % (780509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.55/7.71 % (780509)CaDiCaL version: 2.1.3
% 51.55/7.71 % (780509)Termination reason: Instruction limit
% 51.55/7.71 % (780509)Termination phase: Saturation
% 51.55/7.71 % (780509)Time elapsed: 3.394 s
% 51.55/7.71 % (780509)Peak memory usage: 21 MB
% 51.55/7.71 % (780509)Instructions burned: 6359 (million)
% 51.55/7.71 % (780669)lrs+1002_1024_anc=all_dependent:sil=128000:drc=off:cnfonf=lazy_not_be_gen:si=on:cbe=off:cs=on:random_seed=1066057056:i=555:aac=none:rtra=on:fe=abstraction:ntd=on_2941 on theBenchmark for (2941ds/555Mi)
% 51.55/7.71 % (780662)Instruction limit reached!
% 51.55/7.71 % (780662)------------------------------
% 51.55/7.71 % (780662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.55/7.71 % (780662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.55/7.71 % (780662)CaDiCaL version: 2.1.3
% 51.55/7.71 % (780662)Termination reason: Instruction limit
% 51.55/7.71 % (780662)Termination phase: Saturation
% 51.55/7.71 % (780662)Time elapsed: 0.289 s
% 51.55/7.71 % (780662)Peak memory usage: 13 MB
% 51.55/7.71 % (780662)Instructions burned: 639 (million)
% 51.55/7.71 % (780671)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=3243551501:i=88:s2at=3:nm=2:rtra=on:rawr=on_2939 on theBenchmark for (2939ds/88Mi)
% 51.55/7.71 % (780671)Instruction limit reached!
% 51.55/7.71 % (780671)------------------------------
% 51.55/7.71 % (780671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.55/7.71 % (780671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.55/7.71 % (780671)CaDiCaL version: 2.1.3
% 51.55/7.71 % (780671)Termination reason: Instruction limit
% 51.55/7.71 % (780671)Termination phase: Saturation
% 51.55/7.71 % (780671)Time elapsed: 0.041 s
% 51.55/7.71 % (780671)Peak memory usage: 12 MB
% 51.55/7.71 % (780671)Instructions burned: 90 (million)
% 51.55/7.71 % (780673)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=614103995:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2939 on theBenchmark for (2939ds/280Mi)
% 51.55/7.71 % (780669)Instruction limit reached!
% 51.55/7.71 % (780669)------------------------------
% 51.55/7.71 % (780669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.55/7.71 % (780669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.55/7.71 % (780669)CaDiCaL version: 2.1.3
% 51.55/7.71 % (780669)Termination reason: Instruction limit
% 51.55/7.71 % (780669)Termination phase: Saturation
% 51.55/7.71 % (780669)Time elapsed: 0.260 s
% 51.55/7.71 % (780669)Peak memory usage: 12 MB
% 51.55/7.71 % (780669)Instructions burned: 555 (million)
% 51.55/7.71 % (780663)Instruction limit reached!
% 51.55/7.71 % (780663)------------------------------
% 51.55/7.71 % (780663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.55/7.71 % (780663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.55/7.71 % (780663)CaDiCaL version: 2.1.3
% 51.55/7.71 % (780663)Termination reason: Instruction limit
% 51.55/7.71 % (780663)Termination phase: Saturation
% 51.55/7.71 % (780663)Time elapsed: 0.374 s
% 51.55/7.71 % (780663)Peak memory usage: 12 MB
% 51.55/7.71 % (780663)Instructions burned: 667 (million)
% 51.55/7.71 % (780675)dis+10_5:4_e2e=on:si=on:urr=on:uwa=interpreted_only:nwc=3:random_seed=47888212:s2a=on:i=3166:bd=preordered:rtra=on_2938 on theBenchmark for (2938ds/3166Mi)
% 51.55/7.71 % (780676)WARNING Broken Constraint: if avatar_split_queue_ratios(1,2) has been set then avatar_split_queue(off) is equal to on
% 51.55/7.71 % (780676)lrs+1010_128_to=kbo:plsq=on:plsqc=4:cnfonf=lazy_pi_sigma_gen:bsd=on:si=on:sp=occurrence:sos=on:plsql=on:random_seed=1434987550:i=4201:add=off:avsqr=1,2:bsdmm=10:fsr=off:rtra=on:fe=axiom_2938 on theBenchmark for (2938ds/4201Mi)
% 51.55/7.71 % (780676)Refutation not found, incomplete strategy
% 51.55/7.71 % (780676)------------------------------
% 51.55/7.71 % (780676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.55/7.71 % (780676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.78/7.92 % (780676)CaDiCaL version: 2.1.3
% 52.78/7.92 % (780676)Termination reason: Refutation not found, incomplete strategy
% 52.78/7.92 % (780676)Time elapsed: 0.003 s
% 52.78/7.92 % (780676)Peak memory usage: 12 MB
% 52.78/7.92 % (780676)Instructions burned: 2 (million)
% 52.78/7.92 % (780676)------------------------------
% 52.78/7.92 % (780676)------------------------------
% 52.78/7.92 % (780679)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=589401354:i=2352:rtra=on:ixr=off_2938 on theBenchmark for (2938ds/2352Mi)
% 52.78/7.92 % (780673)Instruction limit reached!
% 52.78/7.92 % (780673)------------------------------
% 52.78/7.92 % (780673)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.78/7.92 % (780673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.78/7.92 % (780673)CaDiCaL version: 2.1.3
% 52.78/7.92 % (780673)Termination reason: Instruction limit
% 52.78/7.92 % (780673)Termination phase: Saturation
% 52.78/7.92 % (780673)Time elapsed: 0.145 s
% 52.78/7.92 % (780673)Peak memory usage: 12 MB
% 52.78/7.92 % (780673)Instructions burned: 281 (million)
% 52.78/7.92 % (780681)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 52.78/7.92 % (780681)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=3367689378:st=2:s2a=on:i=452:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2937 on theBenchmark for (2937ds/452Mi)
% 52.78/7.92 % (780681)Refutation not found, incomplete strategy
% 52.78/7.92 % (780681)------------------------------
% 52.78/7.92 % (780681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.78/7.92 % (780681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.78/7.92 % (780681)CaDiCaL version: 2.1.3
% 52.78/7.92 % (780681)Termination reason: Refutation not found, incomplete strategy
% 52.78/7.92 % (780681)Time elapsed: 0.001 s
% 52.78/7.92 % (780681)Peak memory usage: 11 MB
% 52.78/7.92 % (780681)Instructions burned: 1 (million)
% 52.78/7.92 % (780681)------------------------------
% 52.78/7.92 % (780681)------------------------------
% 52.78/7.92 % (780683)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 52.78/7.92 % (780683)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 52.78/7.92 % (780683)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=1926887685:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2937 on theBenchmark for (2937ds/483Mi)
% 52.78/7.92 % (780683)Refutation not found, incomplete strategy
% 52.78/7.92 % (780683)------------------------------
% 52.78/7.92 % (780683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.78/7.92 % (780683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.78/7.92 % (780683)CaDiCaL version: 2.1.3
% 52.78/7.92 % (780683)Termination reason: Refutation not found, incomplete strategy
% 52.78/7.92 % (780683)Time elapsed: 0.001 s
% 52.78/7.92 % (780683)Peak memory usage: 12 MB
% 52.78/7.92 % (780683)------------------------------
% 52.78/7.92 % (780683)------------------------------
% 52.78/7.92 % (780685)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2179640482:cts=off:i=168:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2937 on theBenchmark for (2937ds/168Mi)
% 52.78/7.92 % (780685)Instruction limit reached!
% 52.78/7.92 % (780685)------------------------------
% 52.78/7.92 % (780685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.78/7.92 % (780685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.78/7.92 % (780685)CaDiCaL version: 2.1.3
% 52.78/7.92 % (780685)Termination reason: Instruction limit
% 52.78/7.92 % (780685)Termination phase: Saturation
% 52.78/7.92 % (780685)Time elapsed: 0.077 s
% 52.78/7.92 % (780685)Peak memory usage: 12 MB
% 52.78/7.92 % (780685)Instructions burned: 169 (million)
% 52.78/7.92 % (780687)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=536084876:hsq=on:hsqr=16,1:s2a=on:i=17240:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2936 on theBenchmark for (2936ds/17240Mi)
% 54.80/8.17 % (780543)Instruction limit reached!
% 54.80/8.17 % (780543)------------------------------
% 54.80/8.17 % (780543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.80/8.17 % (780543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.80/8.17 % (780543)CaDiCaL version: 2.1.3
% 54.80/8.17 % (780543)Termination reason: Instruction limit
% 54.80/8.17 % (780543)Termination phase: Saturation
% 54.80/8.17 % (780543)Time elapsed: 3.292 s
% 54.80/8.17 % (780543)Peak memory usage: 16 MB
% 54.80/8.17 % (780543)Instructions burned: 4389 (million)
% 54.80/8.17 % (780689)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:sp=unary_first:uwa=off:sac=on:random_seed=1734255073:i=2022:fsr=off:rtra=on:ixr=off_2935 on theBenchmark for (2935ds/2022Mi)
% 54.80/8.17 % (780661)Instruction limit reached!
% 54.80/8.17 % (780661)------------------------------
% 54.80/8.17 % (780661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.80/8.17 % (780661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.80/8.17 % (780661)CaDiCaL version: 2.1.3
% 54.80/8.17 % (780661)Termination reason: Instruction limit
% 54.80/8.17 % (780661)Termination phase: Saturation
% 54.80/8.17 % (780661)Time elapsed: 0.941 s
% 54.80/8.17 % (780661)Peak memory usage: 13 MB
% 54.80/8.17 % (780661)Instructions burned: 2296 (million)
% 54.80/8.17 % (780691)lrs+1010_3:1_sil=128000:tgt=full:plsq=on:drc=ordering:cnfonf=lazy_not_be_gen:si=on:etr=on:sp=reverse_arity:plsqr=32,1:urr=on:uwa=off:foolp=on:nwc=0.5:random_seed=3679690017:i=2274:kws=precedence:bd=preordered:av=off:rtra=on_2933 on theBenchmark for (2933ds/2274Mi)
% 54.80/8.17 % (780689)Instruction limit reached!
% 54.80/8.17 % (780689)------------------------------
% 54.80/8.17 % (780689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.80/8.17 % (780689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.80/8.17 % (780689)CaDiCaL version: 2.1.3
% 54.80/8.17 % (780689)Termination reason: Instruction limit
% 54.80/8.17 % (780689)Termination phase: Saturation
% 54.80/8.17 % (780689)Time elapsed: 0.773 s
% 54.80/8.17 % (780689)Peak memory usage: 14 MB
% 54.80/8.17 % (780689)Instructions burned: 2023 (million)
% 54.80/8.17 % (780693)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3357198866:i=555:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2927 on theBenchmark for (2927ds/555Mi)
% 54.80/8.17 % (780664)Instruction limit reached!
% 54.80/8.17 % (780664)------------------------------
% 54.80/8.17 % (780664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.80/8.17 % (780664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.80/8.17 % (780664)CaDiCaL version: 2.1.3
% 54.80/8.17 % (780664)Termination reason: Instruction limit
% 54.80/8.17 % (780664)Termination phase: Saturation
% 54.80/8.17 % (780664)Time elapsed: 1.533 s
% 54.80/8.17 % (780664)Peak memory usage: 19 MB
% 54.80/8.17 % (780664)Instructions burned: 1801 (million)
% 54.80/8.17 % (780695)dis+1002_4_sil=128000:si=on:lma=off:uwa=off:fd=off:sac=on:random_seed=3721166475:avsq=on:i=2220:rtra=on_2927 on theBenchmark for (2927ds/2220Mi)
% 54.80/8.17 % (780693)Instruction limit reached!
% 54.80/8.17 % (780693)------------------------------
% 54.80/8.17 % (780693)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.80/8.17 % (780693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.80/8.17 % (780693)CaDiCaL version: 2.1.3
% 54.80/8.17 % (780693)Termination reason: Instruction limit
% 54.80/8.17 % (780693)Termination phase: Saturation
% 54.80/8.17 % (780693)Time elapsed: 0.162 s
% 54.80/8.17 % (780693)Peak memory usage: 13 MB
% 54.80/8.17 % (780693)Instructions burned: 557 (million)
% 54.80/8.17 % (780697)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=1754146496:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2925 on theBenchmark for (2925ds/715Mi)
% 54.80/8.17 % (780697)Refutation not found, incomplete strategy
% 54.80/8.17 % (780697)------------------------------
% 54.80/8.17 % (780697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.80/8.17 % (780697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.80/8.17 % (780697)CaDiCaL version: 2.1.3
% 54.80/8.17 % (780697)Termination reason: Refutation not found, incomplete strategy
% 54.80/8.17 % (780697)Time elapsed: 0.001 s
% 54.80/8.17 % (780697)Peak memory usage: 11 MB
% 54.80/8.17 % (780697)Instructions burned: 1 (million)
% 54.80/8.17 % (780697)------------------------------
% 54.80/8.17 % (780697)------------------------------
% 54.80/8.17 % (780699)WARNING Broken Constraint: if sine_to_age_generality_threshold(60) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 57.67/8.86 % (780699)lrs+1010_4:7_anc=none:tgt=ground:cnfonf=lazy_gen:sas=cadical:si=on:uwa=interpreted_only:s2agt=60:sac=on:random_seed=2058333354:i=1979:nm=2:rtra=on:amm=off:ss=axioms:ntd=on_2925 on theBenchmark for (2925ds/1979Mi)
% 57.67/8.86 % (780699)Refutation not found, incomplete strategy
% 57.67/8.86 % (780699)------------------------------
% 57.67/8.86 % (780699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.67/8.86 % (780699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.67/8.86 % (780699)CaDiCaL version: 2.1.3
% 57.67/8.86 % (780699)Termination reason: Refutation not found, incomplete strategy
% 57.67/8.86 % (780699)Time elapsed: 0.001 s
% 57.67/8.86 % (780699)Peak memory usage: 11 MB
% 57.67/8.86 % (780699)Instructions burned: 1 (million)
% 57.67/8.86 % (780699)------------------------------
% 57.67/8.86 % (780699)------------------------------
% 57.67/8.86 % (780701)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=3642169324:s2a=on:i=28911:sd=1:rtra=on:ss=axioms:sgt=128_2925 on theBenchmark for (2925ds/28911Mi)
% 57.67/8.86 % (780701)Refutation not found, incomplete strategy
% 57.67/8.86 % (780701)------------------------------
% 57.67/8.86 % (780701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.67/8.86 % (780701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.67/8.86 % (780701)CaDiCaL version: 2.1.3
% 57.67/8.86 % (780701)Termination reason: Refutation not found, incomplete strategy
% 57.67/8.86 % (780701)Time elapsed: 0.0000 s
% 57.67/8.86 % (780701)Peak memory usage: 12 MB
% 57.67/8.86 % (780701)------------------------------
% 57.67/8.86 % (780701)------------------------------
% 57.67/8.86 % (780703)lrs+1002_1_to=lpo:sil=128000:cnfonf=lazy_not_be_gen:si=on:sp=reverse_arity:sos=on:erd=off:lma=off:spb=units:urr=on:cbe=off:uwa=one_side_constant:random_seed=153049401:hsq=on:cond=on:i=414:add=on:bd=all:rtra=on:c=on_2925 on theBenchmark for (2925ds/414Mi)
% 57.67/8.86 % (780703)Refutation not found, incomplete strategy
% 57.67/8.86 % (780703)------------------------------
% 57.67/8.86 % (780703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.67/8.86 % (780703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.67/8.86 % (780703)CaDiCaL version: 2.1.3
% 57.67/8.86 % (780703)Termination reason: Refutation not found, incomplete strategy
% 57.67/8.86 % (780703)Time elapsed: 0.001 s
% 57.67/8.86 % (780703)Peak memory usage: 11 MB
% 57.67/8.86 % (780703)Instructions burned: 2 (million)
% 57.67/8.86 % (780703)------------------------------
% 57.67/8.86 % (780703)------------------------------
% 57.67/8.86 % (780705)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=2312243818:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2925 on theBenchmark for (2925ds/429Mi)
% 57.67/8.86 % (780705)Instruction limit reached!
% 57.67/8.86 % (780705)------------------------------
% 57.67/8.86 % (780705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.67/8.86 % (780705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.67/8.86 % (780705)CaDiCaL version: 2.1.3
% 57.67/8.86 % (780705)Termination reason: Instruction limit
% 57.67/8.86 % (780705)Termination phase: Saturation
% 57.67/8.86 % (780705)Time elapsed: 0.125 s
% 57.67/8.86 % (780705)Peak memory usage: 12 MB
% 57.67/8.86 % (780705)Instructions burned: 431 (million)
% 57.67/8.86 % (780707)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 57.67/8.86 % (780707)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=3130394477:lrd=on:i=841:nm=0:rtra=on_2923 on theBenchmark for (2923ds/841Mi)
% 57.67/8.86 % (780679)Instruction limit reached!
% 57.67/8.86 % (780679)------------------------------
% 57.67/8.86 % (780679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 57.67/8.86 % (780679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.67/8.86 % (780679)CaDiCaL version: 2.1.3
% 57.67/8.86 % (780679)Termination reason: Instruction limit
% 57.67/8.86 % (780679)Termination phase: Saturation
% 57.67/8.86 % (780679)Time elapsed: 1.468 s
% 57.67/8.86 % (780679)Peak memory usage: 13 MB
% 63.45/9.42 % (780679)Instructions burned: 2353 (million)
% 63.45/9.42 % (780709)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3018441269:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2923 on theBenchmark for (2923ds/445Mi)
% 63.45/9.42 % (780675)Instruction limit reached!
% 63.45/9.42 % (780675)------------------------------
% 63.45/9.42 % (780675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 63.45/9.42 % (780675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.45/9.42 % (780675)CaDiCaL version: 2.1.3
% 63.45/9.42 % (780675)Termination reason: Instruction limit
% 63.45/9.42 % (780675)Termination phase: Saturation
% 63.45/9.42 % (780675)Time elapsed: 1.661 s
% 63.45/9.42 % (780675)Peak memory usage: 14 MB
% 63.45/9.42 % (780675)Instructions burned: 3166 (million)
% 63.45/9.42 % (780711)lrs+1010_5:1_sil=128000:tgt=ground:si=on:sos=all:lwlo=on:random_seed=4174189576:lrd=on:i=1324:kws=arity:bd=preordered:fsr=off:rtra=on_2921 on theBenchmark for (2921ds/1324Mi)
% 63.45/9.42 % (780711)Refutation not found, incomplete strategy
% 63.45/9.42 % (780711)------------------------------
% 63.45/9.42 % (780711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 63.45/9.42 % (780711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.45/9.42 % (780711)CaDiCaL version: 2.1.3
% 63.45/9.42 % (780711)Termination reason: Refutation not found, incomplete strategy
% 63.45/9.42 % (780711)Time elapsed: 0.001 s
% 63.45/9.42 % (780711)Peak memory usage: 12 MB
% 63.45/9.42 % (780711)Instructions burned: 1 (million)
% 63.45/9.42 % (780711)------------------------------
% 63.45/9.42 % (780711)------------------------------
% 63.45/9.42 % (780713)dis+21_1_sil=128000:cnfonf=off:e2e=on:si=on:sos=on:spb=goal_then_units:acc=on:uwa=one_side_interpreted:random_seed=2311151224:i=5401:kws=precedence:ep=RST:rtra=on:ss=axioms_2921 on theBenchmark for (2921ds/5401Mi)
% 63.45/9.42 % (780713)Refutation not found, incomplete strategy
% 63.45/9.42 % (780713)------------------------------
% 63.45/9.42 % (780713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 63.45/9.42 % (780713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.45/9.42 % (780713)CaDiCaL version: 2.1.3
% 63.45/9.42 % (780713)Termination reason: Refutation not found, incomplete strategy
% 63.45/9.42 % (780713)Time elapsed: 0.001 s
% 63.45/9.42 % (780713)Peak memory usage: 12 MB
% 63.45/9.42 % (780713)------------------------------
% 63.45/9.42 % (780713)------------------------------
% 63.45/9.42 % (780715)lrs+10_1_sil=128000:fde=none:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2538374580:s2a=on:i=4070:s2at=3:bd=all:nm=16:av=off:fsr=off:rtra=on_2921 on theBenchmark for (2921ds/4070Mi)
% 63.45/9.42 % (780691)Instruction limit reached!
% 63.45/9.42 % (780691)------------------------------
% 63.45/9.42 % (780691)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 63.45/9.42 % (780691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.45/9.42 % (780691)CaDiCaL version: 2.1.3
% 63.45/9.42 % (780691)Termination reason: Instruction limit
% 63.45/9.42 % (780691)Termination phase: Saturation
% 63.45/9.42 % (780691)Time elapsed: 1.168 s
% 63.45/9.42 % (780691)Peak memory usage: 17 MB
% 63.45/9.42 % (780691)Instructions burned: 2274 (million)
% 63.45/9.42 % (780717)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=512414235:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2921 on theBenchmark for (2921ds/984Mi)
% 63.45/9.42 % (780717)Refutation not found, incomplete strategy
% 63.45/9.42 % (780717)------------------------------
% 63.45/9.42 % (780717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 63.45/9.42 % (780717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.45/9.42 % (780717)CaDiCaL version: 2.1.3
% 63.45/9.42 % (780717)Termination reason: Refutation not found, incomplete strategy
% 63.45/9.42 % (780717)Time elapsed: 0.001 s
% 63.45/9.42 % (780717)Peak memory usage: 12 MB
% 63.45/9.42 % (780717)Instructions burned: 1 (million)
% 63.45/9.42 % (780717)------------------------------
% 63.45/9.42 % (780717)------------------------------
% 63.45/9.42 % (780719)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=2532980317:cts=off:i=112:fsr=off:rtra=on:fe=abstraction_2920 on theBenchmark for (2920ds/112Mi)
% 63.45/9.42 % (780719)Refutation not found, incomplete strategy
% 63.45/9.42 % (780719)------------------------------
% 63.45/9.42 % (780719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 63.45/9.42 % (780719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.12/10.26 % (780719)CaDiCaL version: 2.1.3
% 69.12/10.26 % (780719)Termination reason: Refutation not found, incomplete strategy
% 69.12/10.26 % (780719)Time elapsed: 0.001 s
% 69.12/10.26 % (780719)Peak memory usage: 11 MB
% 69.12/10.26 % (780719)Instructions burned: 1 (million)
% 69.12/10.26 % (780719)------------------------------
% 69.12/10.26 % (780719)------------------------------
% 69.12/10.26 % (780721)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3828624757:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2920 on theBenchmark for (2920ds/1144Mi)
% 69.12/10.26 % (780721)Refutation not found, incomplete strategy
% 69.12/10.26 % (780721)------------------------------
% 69.12/10.26 % (780721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.12/10.26 % (780721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.12/10.26 % (780721)CaDiCaL version: 2.1.3
% 69.12/10.26 % (780721)Termination reason: Refutation not found, incomplete strategy
% 69.12/10.26 % (780721)Time elapsed: 0.0000 s
% 69.12/10.26 % (780721)Peak memory usage: 11 MB
% 69.12/10.26 % (780721)------------------------------
% 69.12/10.26 % (780721)------------------------------
% 69.12/10.26 % (780709)Instruction limit reached!
% 69.12/10.26 % (780709)------------------------------
% 69.12/10.26 % (780709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.12/10.26 % (780709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.12/10.26 % (780709)CaDiCaL version: 2.1.3
% 69.12/10.26 % (780709)Termination reason: Instruction limit
% 69.12/10.26 % (780709)Termination phase: Saturation
% 69.12/10.26 % (780709)Time elapsed: 0.260 s
% 69.12/10.26 % (780709)Peak memory usage: 14 MB
% 69.12/10.26 % (780709)Instructions burned: 446 (million)
% 69.12/10.26 % (780723)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=2762338487:i=1352:add=off:kws=frequency:rtra=on:ntd=on_2920 on theBenchmark for (2920ds/1352Mi)
% 69.12/10.26 % (780724)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=403116857:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2920 on theBenchmark for (2920ds/693Mi)
% 69.12/10.26 % (780707)Instruction limit reached!
% 69.12/10.26 % (780707)------------------------------
% 69.12/10.26 % (780707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.12/10.26 % (780707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.12/10.26 % (780707)CaDiCaL version: 2.1.3
% 69.12/10.26 % (780707)Termination reason: Instruction limit
% 69.12/10.26 % (780707)Termination phase: Saturation
% 69.12/10.26 % (780707)Time elapsed: 0.583 s
% 69.12/10.26 % (780707)Peak memory usage: 13 MB
% 69.12/10.26 % (780707)Instructions burned: 842 (million)
% 69.12/10.26 % (780727)lrs+1010_1_to=lpo:sil=128000:drc=ordering:cnfonf=lazy_gen:si=on:nwc=2:random_seed=690990800:s2a=on:i=908:bd=all:rtra=on:fe=abstraction:ntd=on_2917 on theBenchmark for (2917ds/908Mi)
% 69.12/10.26 % (780724)Instruction limit reached!
% 69.12/10.26 % (780724)------------------------------
% 69.12/10.26 % (780724)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.12/10.26 % (780724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.12/10.26 % (780724)CaDiCaL version: 2.1.3
% 69.12/10.26 % (780724)Termination reason: Instruction limit
% 69.12/10.26 % (780724)Termination phase: Saturation
% 69.12/10.26 % (780724)Time elapsed: 0.384 s
% 69.12/10.26 % (780724)Peak memory usage: 12 MB
% 69.12/10.26 % (780724)Instructions burned: 695 (million)
% 69.12/10.26 % (780729)dis-1004_128_to=kbo:sil=128000:tgt=full:si=on:fdtod=off:sp=const_frequency:spb=goal:uwa=off:slsqc=3:slsq=on:random_seed=4215861526:i=6901:add=on:slsql=off:rtra=on:ntd=on_2916 on theBenchmark for (2916ds/6901Mi)
% 69.12/10.26 % (780695)Instruction limit reached!
% 69.12/10.26 % (780695)------------------------------
% 69.12/10.26 % (780695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.12/10.26 % (780695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.12/10.26 % (780695)CaDiCaL version: 2.1.3
% 69.12/10.26 % (780695)Termination reason: Instruction limit
% 69.12/10.26 % (780695)Termination phase: Saturation
% 69.12/10.26 % (780695)Time elapsed: 1.294 s
% 69.12/10.26 % (780695)Peak memory usage: 13 MB
% 69.12/10.26 % (780695)Instructions burned: 2220 (million)
% 69.12/10.26 % (780731)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1835397685:uwa_fpi=on:i=3621:add=on:doe=on:ins=1:rtra=on_2914 on theBenchmark for (2914ds/3621Mi)
% 76.88/11.35 % (780727)Instruction limit reached!
% 76.88/11.35 % (780727)------------------------------
% 76.88/11.35 % (780727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 76.88/11.35 % (780727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.88/11.35 % (780727)CaDiCaL version: 2.1.3
% 76.88/11.35 % (780727)Termination reason: Instruction limit
% 76.88/11.35 % (780727)Termination phase: Saturation
% 76.88/11.35 % (780727)Time elapsed: 0.446 s
% 76.88/11.35 % (780727)Peak memory usage: 15 MB
% 76.88/11.35 % (780727)Instructions burned: 910 (million)
% 76.88/11.35 % (780733)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=866916093:i=1160:kws=precedence:bd=preordered:av=off:rtra=on_2912 on theBenchmark for (2912ds/1160Mi)
% 76.88/11.35 % (780733)Refutation not found, incomplete strategy
% 76.88/11.35 % (780733)------------------------------
% 76.88/11.35 % (780733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 76.88/11.35 % (780733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.88/11.35 % (780733)CaDiCaL version: 2.1.3
% 76.88/11.35 % (780733)Termination reason: Refutation not found, incomplete strategy
% 76.88/11.35 % (780733)Time elapsed: 0.002 s
% 76.88/11.35 % (780733)Peak memory usage: 11 MB
% 76.88/11.35 % (780733)Instructions burned: 2 (million)
% 76.88/11.35 % (780733)------------------------------
% 76.88/11.35 % (780733)------------------------------
% 76.88/11.35 % (780735)ott+1003_256_anc=none:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=const_frequency:cbe=off:nwc=2:random_seed=1625022434:i=570:kws=frequency:aac=none:ep=RSTC:rtra=on:ntd=on:rawr=on_2912 on theBenchmark for (2912ds/570Mi)
% 76.88/11.35 % (780723)Instruction limit reached!
% 76.88/11.35 % (780723)------------------------------
% 76.88/11.35 % (780723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 76.88/11.35 % (780723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.88/11.35 % (780723)CaDiCaL version: 2.1.3
% 76.88/11.35 % (780723)Termination reason: Instruction limit
% 76.88/11.35 % (780723)Termination phase: Saturation
% 76.88/11.35 % (780723)Time elapsed: 0.823 s
% 76.88/11.35 % (780723)Peak memory usage: 12 MB
% 76.88/11.35 % (780723)Instructions burned: 1354 (million)
% 76.88/11.35 % (780737)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=577944010:i=324:bd=all:ins=4:rtra=on_2912 on theBenchmark for (2912ds/324Mi)
% 76.88/11.35 % (780737)Instruction limit reached!
% 76.88/11.35 % (780737)------------------------------
% 76.88/11.35 % (780737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 76.88/11.35 % (780737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.88/11.35 % (780737)CaDiCaL version: 2.1.3
% 76.88/11.35 % (780737)Termination reason: Instruction limit
% 76.88/11.35 % (780737)Termination phase: Saturation
% 76.88/11.35 % (780737)Time elapsed: 0.148 s
% 76.88/11.35 % (780737)Peak memory usage: 14 MB
% 76.88/11.35 % (780737)Instructions burned: 325 (million)
% 76.88/11.35 % (780739)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:e2e=on:si=on:lma=off:bsr=on:uwa=interpreted_only:nwc=1:sac=on:random_seed=2887740119:s2a=on:i=5712:rtra=on_2910 on theBenchmark for (2910ds/5712Mi)
% 76.88/11.35 % (780735)Instruction limit reached!
% 76.88/11.35 % (780735)------------------------------
% 76.88/11.35 % (780735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 76.88/11.35 % (780735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.88/11.35 % (780735)CaDiCaL version: 2.1.3
% 76.88/11.35 % (780735)Termination reason: Instruction limit
% 76.88/11.35 % (780735)Termination phase: Saturation
% 76.88/11.35 % (780735)Time elapsed: 0.375 s
% 76.88/11.35 % (780735)Peak memory usage: 14 MB
% 76.88/11.35 % (780735)Instructions burned: 571 (million)
% 76.88/11.35 % (780741)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 76.88/11.35 % (780741)WARNING Broken Constraint: if positive_literal_split_queue_layered_arrangement(on) has been set then positive_literal_split_queue(off) is equal to on
% 76.88/11.35 % (780741)ott+1010_3:16_to=lpo:sil=128000:cnfonf=lazy_simp:si=on:lma=off:plsqr=32,1:plsql=on:uwa=interpreted_only:random_seed=1141168341:i=901:rtra=on:fsd=on_2908 on theBenchmark for (2908ds/901Mi)
% 83.20/12.21 % (780731)Instruction limit reached!
% 83.20/12.21 % (780731)------------------------------
% 83.20/12.21 % (780731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.20/12.21 % (780731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.20/12.21 % (780731)CaDiCaL version: 2.1.3
% 83.20/12.21 % (780731)Termination reason: Instruction limit
% 83.20/12.21 % (780731)Termination phase: Saturation
% 83.20/12.21 % (780731)Time elapsed: 0.748 s
% 83.20/12.21 % (780731)Peak memory usage: 18 MB
% 83.20/12.21 % (780731)Instructions burned: 3623 (million)
% 83.20/12.21 % (780743)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2020400197:st=3:s2a=on:i=2961:sd=3:rtra=on:ss=axioms_2906 on theBenchmark for (2906ds/2961Mi)
% 83.20/12.21 % (780743)Refutation not found, incomplete strategy
% 83.20/12.21 % (780743)------------------------------
% 83.20/12.21 % (780743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.20/12.21 % (780743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.20/12.21 % (780743)CaDiCaL version: 2.1.3
% 83.20/12.21 % (780743)Termination reason: Refutation not found, incomplete strategy
% 83.20/12.21 % (780743)Time elapsed: 0.0000 s
% 83.20/12.21 % (780743)Peak memory usage: 11 MB
% 83.20/12.21 % (780743)------------------------------
% 83.20/12.21 % (780743)------------------------------
% 83.20/12.21 % (780745)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=433052175:hsq=on:hsqr=16,1:s2a=on:i=3526:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2906 on theBenchmark for (2906ds/3526Mi)
% 83.20/12.21 % (780634)Instruction limit reached!
% 83.20/12.21 % (780634)------------------------------
% 83.20/12.21 % (780634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.20/12.21 % (780634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.20/12.21 % (780634)CaDiCaL version: 2.1.3
% 83.20/12.21 % (780634)Termination reason: Instruction limit
% 83.20/12.21 % (780634)Termination phase: Saturation
% 83.20/12.21 % (780634)Time elapsed: 4.717 s
% 83.20/12.21 % (780634)Peak memory usage: 30 MB
% 83.20/12.21 % (780634)Instructions burned: 6581 (million)
% 83.20/12.21 % (780747)dis+10_1024_sil=128000:si=on:uwa=off:random_seed=3234835630:st=4:i=3368:sd=3:rtra=on:ss=axioms:sgt=10_2904 on theBenchmark for (2904ds/3368Mi)
% 83.20/12.21 % (780747)Refutation not found, incomplete strategy
% 83.20/12.21 % (780747)------------------------------
% 83.20/12.21 % (780747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.20/12.21 % (780747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.20/12.21 % (780747)CaDiCaL version: 2.1.3
% 83.20/12.21 % (780747)Termination reason: Refutation not found, incomplete strategy
% 83.20/12.21 % (780747)Time elapsed: 0.001 s
% 83.20/12.21 % (780747)Peak memory usage: 11 MB
% 83.20/12.21 % (780747)------------------------------
% 83.20/12.21 % (780747)------------------------------
% 83.20/12.21 % (780749)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=2255013361:i=20626:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2904 on theBenchmark for (2904ds/20626Mi)
% 83.20/12.21 % (780741)Instruction limit reached!
% 83.20/12.21 % (780741)------------------------------
% 83.20/12.21 % (780741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.20/12.21 % (780741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.20/12.21 % (780741)CaDiCaL version: 2.1.3
% 83.20/12.21 % (780741)Termination reason: Instruction limit
% 83.20/12.21 % (780741)Termination phase: Saturation
% 83.20/12.21 % (780741)Time elapsed: 0.606 s
% 83.20/12.21 % (780741)Peak memory usage: 12 MB
% 83.20/12.21 % (780741)Instructions burned: 902 (million)
% 83.20/12.21 % (780751)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=2388442349:hsq=on:hsqr=1,8:i=27154:hsql=off:bd=all:rtra=on:ixr=off_2902 on theBenchmark for (2902ds/27154Mi)
% 83.20/12.21 % (780745)Instruction limit reached!
% 83.20/12.21 % (780745)------------------------------
% 83.20/12.21 % (780745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.20/12.21 % (780745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.20/12.21 % (780745)CaDiCaL version: 2.1.3
% 83.20/12.21 % (780745)Termination reason: Instruction limit
% 83.20/12.21 % (780745)Termination phase: Saturation
% 83.20/12.21 % (780745)Time elapsed: 0.631 s
% 83.20/12.21 % (780745)Peak memory usage: 14 MB
% 83.20/12.21 % (780745)Instructions burned: 3527 (million)
% 83.20/12.21 % (780753)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1055335030:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2899 on theBenchmark for (2899ds/515Mi)
% 83.20/12.21 % (780753)Refutation not found, incomplete strategy
% 83.20/12.21 % (780753)------------------------------
% 83.20/12.21 % (780753)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.20/12.21 % (780753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.20/12.21 % (780753)CaDiCaL version: 2.1.3
% 83.20/12.21 % (780753)Termination reason: Refutation not found, incomplete strategy
% 83.20/12.21 % (780753)Time elapsed: 0.0000 s
% 83.20/12.21 % (780753)Peak memory usage: 12 MB
% 83.20/12.21 % (780753)------------------------------
% 83.20/12.21 % (780753)------------------------------
% 83.20/12.21 % (780755)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=3192148768:s2a=on:i=2653:s2at=6:nm=2:rtra=on_2899 on theBenchmark for (2899ds/2653Mi)
% 83.20/12.21 % (780715)Instruction limit reached!
% 83.20/12.21 % (780715)------------------------------
% 83.20/12.21 % (780715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.20/12.21 % (780715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.20/12.21 % (780715)CaDiCaL version: 2.1.3
% 83.20/12.21 % (780715)Termination reason: Instruction limit
% 83.20/12.21 % (780715)Termination phase: Saturation
% 83.20/12.21 % (780715)Time elapsed: 2.483 s
% 83.20/12.21 % (780715)Peak memory usage: 18 MB
% 83.20/12.21 % (780715)Instructions burned: 4071 (million)
% 83.20/12.21 % (780758)WARNING Broken Constraint: if sine_to_age_generality_threshold(60) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 83.20/12.21 % (780758)lrs-30_5:1_sil=128000:drc=off:sas=cadical:si=on:lma=off:cbe=off:uwa=one_side_interpreted:s2agt=60:lwlo=on:random_seed=1567505156:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_2896 on theBenchmark for (2896ds/1297Mi)
% 83.20/12.21 % (780755)Instruction limit reached!
% 83.20/12.21 % (780755)------------------------------
% 83.20/12.21 % (780755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.20/12.21 % (780755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.20/12.21 % (780755)CaDiCaL version: 2.1.3
% 83.20/12.21 % (780755)Termination reason: Instruction limit
% 83.20/12.21 % (780755)Termination phase: Saturation
% 83.20/12.21 % (780755)Time elapsed: 0.595 s
% 83.20/12.21 % (780755)Peak memory usage: 14 MB
% 83.20/12.21 % (780755)Instructions burned: 2657 (million)
% 83.20/12.21 % (780760)lrs+21_8_to=kbo:tgt=ground:fde=unused:e2e=on:si=on:uwa=hol:foolp=on:random_seed=2176315688:uwa_fpi=on:i=1950:kws=frequency:bd=preordered:rtra=on:fe=abstraction_2893 on theBenchmark for (2893ds/1950Mi)
% 83.20/12.21 % (780760)Instruction limit reached!
% 83.20/12.21 % (780760)------------------------------
% 83.20/12.21 % (780760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.20/12.21 % (780760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.20/12.21 % (780760)CaDiCaL version: 2.1.3
% 83.20/12.21 % (780760)Termination reason: Instruction limit
% 83.20/12.21 % (780760)Termination phase: Saturation
% 83.20/12.21 % (780760)Time elapsed: 0.358 s
% 83.20/12.21 % (780760)Peak memory usage: 14 MB
% 83.20/12.21 % (780760)Instructions burned: 1953 (million)
% 83.20/12.21 % (780763)dis+1010_1_anc=none:to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=arity:lma=off:urr=on:bce=on:nwc=20:br=off:avsqc=1:random_seed=202541171:avsq=on:i=2818:add=on:avsqr=16,1:hud=0:rtra=on:ss=included:ixr=off:sgt=16_2889 on theBenchmark for (2889ds/2818Mi)
% 83.20/12.21 % (780758)Instruction limit reached!
% 83.20/12.21 % (780758)------------------------------
% 83.20/12.21 % (780758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.20/12.21 % (780758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.20/12.21 % (780758)CaDiCaL version: 2.1.3
% 83.20/12.21 % (780758)Termination reason: Instruction limit
% 83.20/12.21 % (780758)Termination phase: Saturation
% 83.20/12.21 % (780758)Time elapsed: 0.691 s
% 83.20/12.21 % (780758)Peak memory usage: 13 MB
% 83.20/12.21 % (780758)Instructions burned: 1299 (million)
% 83.20/12.21 % (780765)dis+1002_1_to=lpo:drc=ordering:fde=none:bsd=on:si=on:ser=on:sp=const_min:cbe=off:uwa=off:flr=on:random_seed=2983114312:s2a=on:i=573:rtra=on:gsp=on_2889 on theBenchmark for (2889ds/573Mi)
% 83.20/12.21 % (780765)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 83.20/12.21 % (780765)Instruction limit reached!
% 83.20/12.21 % (780765)------------------------------
% 83.20/12.21 % (780765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.20/12.21 % (780765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.20/12.21 % (780765)CaDiCaL version: 2.1.3
% 83.20/12.21 % (780765)Termination reason: Instruction limit
% 83.20/12.21 % (780765)Termination phase: Saturation
% 83.20/12.21 % (780765)Time elapsed: 0.233 s
% 83.20/12.21 % (780765)Peak memory usage: 12 MB
% 83.20/12.21 % (780765)Instructions burned: 575 (million)
% 83.20/12.21 % (780767)lrs+10_1_sil=128000:cnfonf=off:si=on:fd=preordered:random_seed=1567307208:s2a=on:i=9598:bd=preordered:rtra=on:fe=abstraction_2886 on theBenchmark for (2886ds/9598Mi)
% 83.20/12.21 % (780729)Instruction limit reached!
% 83.20/12.21 % (780729)------------------------------
% 83.20/12.21 % (780729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.20/12.21 % (780729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.20/12.21 % (780729)CaDiCaL version: 2.1.3
% 83.20/12.21 % (780729)Termination reason: Instruction limit
% 83.20/12.21 % (780729)Termination phase: Saturation
% 83.20/12.21 % (780729)Time elapsed: 3.337 s
% 83.20/12.21 % (780729)Peak memory usage: 14 MB
% 83.20/12.21 % (780729)Instructions burned: 6901 (million)
% 83.20/12.21 % (780769)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 83.20/12.21 % (780769)ott+1002_16_sil=128000:si=on:random_seed=1228409295:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2882 on theBenchmark for (2882ds/409Mi)
% 83.20/12.21 % (780749) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-780174-780749"...
% 83.20/12.21 % (780763)Instruction limit reached!
% 83.20/12.21 % (780763)------------------------------
% 83.20/12.21 % (780763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.20/12.21 % (780763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.20/12.21 % (780763)CaDiCaL version: 2.1.3
% 83.20/12.21 % (780763)Termination reason: Instruction limit
% 83.20/12.21 % (780763)Termination phase: Saturation
% 83.20/12.21 % (780763)Time elapsed: 0.927 s
% 83.20/12.21 % (780763)Peak memory usage: 13 MB
% 83.20/12.21 % (780763)Instructions burned: 2820 (million)
% 83.20/12.21 % (780769)Instruction limit reached!
% 83.20/12.21 % (780769)------------------------------
% 83.20/12.21 % (780769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.20/12.21 % (780769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.20/12.21 % (780769)CaDiCaL version: 2.1.3
% 83.20/12.21 % (780769)Termination reason: Instruction limit
% 83.20/12.21 % (780769)Termination phase: Saturation
% 83.20/12.21 % (780769)Time elapsed: 0.176 s
% 83.20/12.21 % (780769)Peak memory usage: 12 MB
% 83.20/12.21 % (780769)Instructions burned: 410 (million)
% 83.20/12.21 % (780749)...printing done.
% 83.20/12.21 % (780749)Refutation found. Thanks to Tanya!
% 83.20/12.21 % SZS status Unsatisfiable for theBenchmark
% 83.20/12.21 % SZS output start Proof for theBenchmark
% See solution above
% 83.20/12.25 % (780749)------------------------------
% 83.20/12.25 % (780749)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.20/12.25 % (780749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.20/12.25 % (780749)CaDiCaL version: 2.1.3
% 83.20/12.25 % (780749)Termination reason: Refutation
% 83.20/12.25 % (780749)Time elapsed: 2.402 s
% 83.20/12.25 % (780749)Peak memory usage: 21 MB
% 83.20/12.25 % (780749)Instructions burned: 4781 (million)
% 83.20/12.25 % (780174)Success in time 11.975 s
% 83.20/12.25 % Vampire exiting
%------------------------------------------------------------------------------