%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV073^7 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 08:39:54 AM UTC 2026
% Result : Theorem 3.19s 0.97s
% Output : Refutation 3.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 16
% Syntax : Number of formulae : 103 ( 43 unt; 0 typ; 10 def)
% Number of atoms : 1047 ( 73 equ; 0 cnn)
% Maximal formula atoms : 25 ( 10 avg)
% Number of connectives : 1825 ( 111 ~; 101 |; 0 &;1584 @)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 61 ( 61 >; 0 *; 0 +; 0 <<)
% Number of symbols : 109 ( 105 usr; 27 con; 0-4 aty)
% ( 19 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 131 ( 8 sgn 21 !; 0 ?; 131 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
mu: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
qmltpeq: mu > mu > $i > $o ).
thf(func_def_1,type,
meq_prop: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_3,type,
mnot: ( $i > $o ) > $i > $o ).
thf(func_def_4,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_5,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_6,type,
mforall_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
thf(func_def_7,type,
mtrue: $i > $o ).
thf(func_def_8,type,
mfalse: $i > $o ).
thf(func_def_9,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_10,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_11,type,
mimplied: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_12,type,
mequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_13,type,
mxor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_14,type,
mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_15,type,
exists_in_world: mu > $i > $o ).
thf(func_def_16,type,
mforall_ind: ( mu > $i > $o ) > $i > $o ).
thf(func_def_17,type,
mexists_ind: ( mu > $i > $o ) > $i > $o ).
thf(func_def_18,type,
mexists_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
thf(func_def_19,type,
mreflexive: ( $i > $i > $o ) > $o ).
thf(func_def_20,type,
msymmetric: ( $i > $i > $o ) > $o ).
thf(func_def_21,type,
mserial: ( $i > $i > $o ) > $o ).
thf(func_def_22,type,
mtransitive: ( $i > $i > $o ) > $o ).
thf(func_def_23,type,
meuclidean: ( $i > $i > $o ) > $o ).
thf(func_def_24,type,
mpartially_functional: ( $i > $i > $o ) > $o ).
thf(func_def_25,type,
mfunctional: ( $i > $i > $o ) > $o ).
thf(func_def_26,type,
mweakly_dense: ( $i > $i > $o ) > $o ).
thf(func_def_27,type,
mweakly_connected: ( $i > $i > $o ) > $o ).
thf(func_def_28,type,
mweakly_directed: ( $i > $i > $o ) > $o ).
thf(func_def_29,type,
mvalid: ( $i > $o ) > $o ).
thf(func_def_30,type,
msatisfiable: ( $i > $o ) > $o ).
thf(func_def_31,type,
mcountersatisfiable: ( $i > $o ) > $o ).
thf(func_def_32,type,
minvalid: ( $i > $o ) > $o ).
thf(func_def_33,type,
rel_s4: $i > $i > $o ).
thf(func_def_34,type,
mbox_s4: ( $i > $o ) > $i > $o ).
thf(func_def_35,type,
mdia_s4: ( $i > $o ) > $i > $o ).
thf(func_def_36,type,
true: $i > $o ).
thf(func_def_37,type,
lt: mu > mu > $i > $o ).
thf(func_def_38,type,
geq: mu > mu > $i > $o ).
thf(func_def_39,type,
gt: mu > mu > $i > $o ).
thf(func_def_40,type,
leq: mu > mu > $i > $o ).
thf(func_def_41,type,
uniform_int_rnd: mu > mu > mu ).
thf(func_def_42,type,
tptp_const_array1: mu > mu > mu ).
thf(func_def_43,type,
dim: mu > mu > mu ).
thf(func_def_44,type,
tptp_const_array2: mu > mu > mu > mu ).
thf(func_def_45,type,
inv: mu > mu ).
thf(func_def_46,type,
tptp_msub: mu > mu > mu ).
thf(func_def_47,type,
trans: mu > mu ).
thf(func_def_48,type,
tptp_mmul: mu > mu > mu ).
thf(func_def_49,type,
tptp_madd: mu > mu > mu ).
thf(func_def_50,type,
sum: mu > mu > mu > mu ).
thf(func_def_51,type,
tptp_float_0_0: mu ).
thf(func_def_52,type,
plus: mu > mu > mu ).
thf(func_def_53,type,
pred: mu > mu ).
thf(func_def_54,type,
tptp_update3: mu > mu > mu > mu > mu ).
thf(func_def_55,type,
a_select3: mu > mu > mu > mu ).
thf(func_def_56,type,
tptp_update2: mu > mu > mu > mu ).
thf(func_def_57,type,
a_select2: mu > mu > mu ).
thf(func_def_58,type,
use: mu ).
thf(func_def_59,type,
def: mu ).
thf(func_def_60,type,
minus: mu > mu > mu ).
thf(func_def_61,type,
pv35: mu ).
thf(func_def_62,type,
pv31: mu ).
thf(func_def_63,type,
tptp_minus_1: mu ).
thf(func_def_64,type,
n135300: mu ).
thf(func_def_65,type,
n4: mu ).
thf(func_def_66,type,
n5: mu ).
thf(func_def_67,type,
n1: mu ).
thf(func_def_68,type,
n2: mu ).
thf(func_def_69,type,
n3: mu ).
thf(func_def_70,type,
n0: mu ).
thf(func_def_71,type,
succ: mu > mu ).
thf(func_def_74,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_75,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_76,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_77,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_78,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_79,type,
vIMP: $o > $o > $o ).
thf(func_def_80,type,
vAND: $o > $o > $o ).
thf(func_def_81,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_82,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_83,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_84,type,
vOR: $o > $o > $o ).
thf(func_def_85,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_86,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_87,type,
vNOT: $o > $o ).
thf(func_def_88,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_89,type,
db9:
!>[X0: $tType] : X0 ).
thf(func_def_90,type,
db8:
!>[X0: $tType] : X0 ).
thf(func_def_91,type,
db7:
!>[X0: $tType] : X0 ).
thf(func_def_92,type,
sK0: $i > mu ).
thf(func_def_94,type,
sK2: ( $i > $o ) > $i ).
thf(func_def_95,type,
sK3: ( $i > $i > $o ) > $i ).
thf(func_def_97,type,
sK5: ( $i > $o ) > $i > $i ).
thf(f2,axiom,
( ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) )
= mnot ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax',mnot) ).
thf(f3,axiom,
( ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X0 @ X2 )
| ( X1 @ X2 ) ) )
= mor ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax',mor) ).
thf(f9,axiom,
( ( ^ [X0: $i > $o,X1: $i > $o] : ( mor @ ( mnot @ X0 ) @ X1 ) )
= mimplies ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax',mimplies) ).
thf(f28,axiom,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax',mvalid) ).
thf(f32,axiom,
( mbox_s4
= ( ^ [X0: $i > $o,X1: $i] :
! [X2: $i] :
( ( X0 @ X2 )
| ~ ( rel_s4 @ X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^5.ax',mbox_s4) ).
thf(f208,conjecture,
mvalid @ ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_array_0014) ).
thf(f209,negated_conjecture,
~ ( mvalid @ ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f208]) ).
thf(f221,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(fool_elimination,[],[f9]) ).
thf(f279,plain,
( ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X0 @ X2 )
| ( X1 @ X2 ) ) )
= mor ),
inference(rectify,[],[f3]) ).
thf(f280,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f279]) ).
thf(f344,plain,
( ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) )
= mnot ),
inference(rectify,[],[f2]) ).
thf(f345,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f344]) ).
thf(f378,plain,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
inference(rectify,[],[f28]) ).
thf(f379,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f378]) ).
thf(f489,plain,
~ ( mvalid @ ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f209]) ).
thf(f490,plain,
( ( mvalid @ ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) ) ) ) )
!= $true ),
inference(fool_elimination,[],[f489]) ).
thf(f554,plain,
( mbox_s4
= ( ^ [X0: $i > $o,X1: $i] :
! [X2: $i] :
( ( X0 @ X2 )
| ~ ( rel_s4 @ X1 @ X2 ) ) ) ),
inference(rectify,[],[f32]) ).
thf(f555,plain,
( mbox_s4
= ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ~ ( rel_s4 @ Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f554]) ).
thf(f615,plain,
( ( mvalid @ ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) ) ) ) )
!= $true ),
inference(flattening,[],[f490]) ).
thf(f658,plain,
( ( mvalid @ ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) ) ) ) )
!= $true ),
inference(cnf_transformation,[],[f615]) ).
thf(f736,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f280]) ).
thf(f737,plain,
( mbox_s4
= ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ~ ( rel_s4 @ Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f555]) ).
thf(f742,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f379]) ).
thf(f793,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f345]) ).
thf(f796,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(cnf_transformation,[],[f221]) ).
thf(f846,plain,
( mvalid = !! ) @ $i,
inference(beta-eta_normalization,[],[f742]) ).
thf(f847,plain,
( mimplies
= ( ^ [Y0: $i > $o] : ( mor @ ( mnot @ Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f796]) ).
thf(f889,definition,
( spl1_9
<=> ( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl1_9])],[avatar_definition]) ).
thf(f891,plain,
( ( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) )
| ~ spl1_9 ),
inference(avatar_component_clause,[],[f889]) ).
thf(f892,plain,
spl1_9,
inference(avatar_split_clause,[],[f736,f889]) ).
thf(f1004,definition,
( spl1_32
<=> ( ( mvalid = !! ) @ $i ) ),
introduced(definition,[new_symbols(definition,[spl1_32])],[avatar_definition]) ).
thf(f1006,plain,
( ( ( mvalid = !! ) @ $i )
| ~ spl1_32 ),
inference(avatar_component_clause,[],[f1004]) ).
thf(f1007,plain,
spl1_32,
inference(avatar_split_clause,[],[f846,f1004]) ).
thf(f1089,definition,
( spl1_49
<=> ( mimplies
= ( ^ [Y0: $i > $o] : ( mor @ ( mnot @ Y0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl1_49])],[avatar_definition]) ).
thf(f1091,plain,
( ( mimplies
= ( ^ [Y0: $i > $o] : ( mor @ ( mnot @ Y0 ) ) ) )
| ~ spl1_49 ),
inference(avatar_component_clause,[],[f1089]) ).
thf(f1092,plain,
spl1_49,
inference(avatar_split_clause,[],[f847,f1089]) ).
thf(f1334,definition,
( spl1_98
<=> ( mbox_s4
= ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ~ ( rel_s4 @ Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl1_98])],[avatar_definition]) ).
thf(f1336,plain,
( ( mbox_s4
= ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ~ ( rel_s4 @ Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ) )
| ~ spl1_98 ),
inference(avatar_component_clause,[],[f1334]) ).
thf(f1337,plain,
spl1_98,
inference(avatar_split_clause,[],[f737,f1334]) ).
thf(f1539,definition,
( spl1_139
<=> ( ( mvalid @ ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl1_139])],[avatar_definition]) ).
thf(f1541,plain,
( ( ( mvalid @ ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) ) ) ) )
!= $true )
| spl1_139 ),
inference(avatar_component_clause,[],[f1539]) ).
thf(f1542,plain,
~ spl1_139,
inference(avatar_split_clause,[],[f658,f1539]) ).
thf(f1569,definition,
( spl1_145
<=> ( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl1_145])],[avatar_definition]) ).
thf(f1571,plain,
( ( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) )
| ~ spl1_145 ),
inference(avatar_component_clause,[],[f1569]) ).
thf(f1572,plain,
spl1_145,
inference(avatar_split_clause,[],[f793,f1569]) ).
thf(f1608,plain,
( ! [X1: $i > $o] :
( ( !! @ $i @ X1 )
= ( mvalid @ X1 ) )
| ~ spl1_32 ),
inference(argument_congruence,[],[f1006]) ).
thf(f1610,plain,
( ! [X1: $i > $o] :
( ( ( mvalid @ X1 )
= $true )
| ( ( !! @ $i @ X1 )
= $false ) )
| ~ spl1_32 ),
inference(iff_proxy_clausification,[],[f1608]) ).
thf(f1611,plain,
( ! [X1: $i > $o] :
( ( ( mvalid @ X1 )
= $true )
| ( ( X1 @ ( sK2 @ X1 ) )
= $false ) )
| ~ spl1_32 ),
inference(sigma_proxy_clausification,[],[f1610]) ).
thf(f1613,plain,
( ! [X1: $i > $o] :
( ( mimplies @ X1 )
= ( ^ [Y0: $i > $o] : ( mor @ ( mnot @ Y0 ) )
@ X1 ) )
| ~ spl1_49 ),
inference(argument_congruence,[],[f1091]) ).
thf(f1614,plain,
( ! [X1: $i > $o] :
( ( mor @ ( mnot @ X1 ) )
= ( mimplies @ X1 ) )
| ~ spl1_49 ),
inference(beta-eta_normalization,[],[f1613]) ).
thf(f1615,plain,
( ! [X2: $i > $o,X1: $i > $o] :
( ( mor @ ( mnot @ X1 ) @ X2 )
= ( mimplies @ X1 @ X2 ) )
| ~ spl1_49 ),
inference(argument_congruence,[],[f1614]) ).
thf(f1670,plain,
( ( $true
!= ( mvalid @ ( mbox_s4 @ ( mor @ ( mnot @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) ) ) ) ) )
| ~ spl1_49
| spl1_139 ),
inference(backward_demodulation,[],[f1541,f1615]) ).
thf(f1675,definition,
( spl1_153
<=> ( $true
= ( mvalid @ ( mbox_s4 @ ( mor @ ( mnot @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl1_153])],[avatar_definition]) ).
thf(f1677,plain,
( ( $true
!= ( mvalid @ ( mbox_s4 @ ( mor @ ( mnot @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) ) ) ) ) )
| spl1_153 ),
inference(avatar_component_clause,[],[f1675]) ).
thf(f1678,plain,
( ~ spl1_153
| ~ spl1_49
| spl1_139 ),
inference(avatar_split_clause,[],[f1670,f1539,f1089,f1675]) ).
thf(f1691,plain,
( ! [X1: $i > $o] :
( ( mor @ X1 )
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) )
@ X1 ) )
| ~ spl1_9 ),
inference(argument_congruence,[],[f891]) ).
thf(f1692,plain,
( ! [X1: $i > $o] :
( ( mor @ X1 )
= ( ^ [Y0: $i > $o,Y1: $i] :
( ( Y0 @ Y1 )
| ( X1 @ Y1 ) ) ) )
| ~ spl1_9 ),
inference(beta-eta_normalization,[],[f1691]) ).
thf(f1932,plain,
( ( $true != $true )
| ( ( mbox_s4 @ ( mor @ ( mnot @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) ) ) @ ( sK2 @ ( mbox_s4 @ ( mor @ ( mnot @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) ) ) ) ) )
= $false )
| ~ spl1_32
| spl1_153 ),
inference(superposition,[],[f1677,f1611]) ).
thf(f1936,plain,
( ( ( mbox_s4 @ ( mor @ ( mnot @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) ) ) @ ( sK2 @ ( mbox_s4 @ ( mor @ ( mnot @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) ) ) ) ) )
= $false )
| ~ spl1_32
| spl1_153 ),
inference(trivial_inequality_removal,[],[f1932]) ).
thf(f1938,definition,
( spl1_154
<=> ( ( mbox_s4 @ ( mor @ ( mnot @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) ) ) @ ( sK2 @ ( mbox_s4 @ ( mor @ ( mnot @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) ) ) ) ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl1_154])],[avatar_definition]) ).
thf(f1940,plain,
( ( ( mbox_s4 @ ( mor @ ( mnot @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) ) ) @ ( sK2 @ ( mbox_s4 @ ( mor @ ( mnot @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) ) ) ) ) )
= $false )
| ~ spl1_154 ),
inference(avatar_component_clause,[],[f1938]) ).
thf(f1941,plain,
( spl1_154
| ~ spl1_32
| spl1_153 ),
inference(avatar_split_clause,[],[f1936,f1675,f1004,f1938]) ).
thf(f2339,plain,
( ! [X1: $i > $o] :
( ( mnot @ X1 )
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 )
@ X1 ) )
| ~ spl1_145 ),
inference(argument_congruence,[],[f1571]) ).
thf(f2340,plain,
( ! [X1: $i > $o] :
( ( mnot @ X1 )
= ( ^ [Y0: $i] :
~ ( X1 @ Y0 ) ) )
| ~ spl1_145 ),
inference(beta-eta_normalization,[],[f2339]) ).
thf(f2367,plain,
( ( ( mbox_s4
@ ( mor
@ ^ [Y0: $i] :
~ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) @ Y0 )
@ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) ) )
@ ( sK2
@ ( mbox_s4
@ ( mor
@ ^ [Y0: $i] :
~ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) @ Y0 )
@ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) ) ) ) ) )
= $false )
| ~ spl1_145
| ~ spl1_154 ),
inference(backward_demodulation,[],[f1940,f2340]) ).
thf(f2379,definition,
( spl1_155
<=> ( ( mbox_s4
@ ( mor
@ ^ [Y0: $i] :
~ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) @ Y0 )
@ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) ) )
@ ( sK2
@ ( mbox_s4
@ ( mor
@ ^ [Y0: $i] :
~ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) @ Y0 )
@ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) ) ) ) ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl1_155])],[avatar_definition]) ).
thf(f2381,plain,
( ( ( mbox_s4
@ ( mor
@ ^ [Y0: $i] :
~ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) @ Y0 )
@ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) ) )
@ ( sK2
@ ( mbox_s4
@ ( mor
@ ^ [Y0: $i] :
~ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) @ Y0 )
@ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) ) ) ) ) )
= $false )
| ~ spl1_155 ),
inference(avatar_component_clause,[],[f2379]) ).
thf(f2382,plain,
( spl1_155
| ~ spl1_145
| ~ spl1_154 ),
inference(avatar_split_clause,[],[f2367,f1938,f1569,f2379]) ).
thf(f2428,plain,
( ! [X2: $i > $o,X1: $i > $o] :
( ( mor @ X1 @ X2 )
= ( ^ [Y0: $i > $o,Y1: $i] :
( ( Y0 @ Y1 )
| ( X1 @ Y1 ) )
@ X2 ) )
| ~ spl1_9 ),
inference(argument_congruence,[],[f1692]) ).
thf(f2429,plain,
( ! [X2: $i > $o,X1: $i > $o] :
( ( mor @ X1 @ X2 )
= ( ^ [Y0: $i] :
( ( X2 @ Y0 )
| ( X1 @ Y0 ) ) ) )
| ~ spl1_9 ),
inference(beta-eta_normalization,[],[f2428]) ).
thf(f2445,plain,
( ! [X1: $i > $o] :
( ( mbox_s4 @ X1 )
= ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ~ ( rel_s4 @ Y1 @ Y2 )
| ( Y0 @ Y2 ) ) )
@ X1 ) )
| ~ spl1_98 ),
inference(argument_congruence,[],[f1336]) ).
thf(f2446,plain,
( ! [X1: $i > $o] :
( ( mbox_s4 @ X1 )
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( rel_s4 @ Y0 @ Y1 )
| ( X1 @ Y1 ) ) ) ) )
| ~ spl1_98 ),
inference(beta-eta_normalization,[],[f2445]) ).
thf(f2526,plain,
( ( ( mbox_s4
@ ^ [Y0: $i] :
( ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) @ Y0 )
| ( ^ [Y1: $i] :
~ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) @ Y1 )
@ Y0 ) )
@ ( sK2
@ ( mbox_s4
@ ^ [Y0: $i] :
( ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) @ Y0 )
| ( ^ [Y1: $i] :
~ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) @ Y1 )
@ Y0 ) ) ) ) )
= $false )
| ~ spl1_9
| ~ spl1_155 ),
inference(backward_demodulation,[],[f2381,f2429]) ).
thf(f2530,plain,
( ( ( mbox_s4
@ ^ [Y0: $i] :
( ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) @ Y0 )
| ~ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) @ Y0 ) )
@ ( sK2
@ ( mbox_s4
@ ^ [Y0: $i] :
( ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) @ Y0 )
| ~ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv31 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv35 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ pv31 @ ( minus @ n5 @ n1 ) ) ) @ ( mbox_s4 @ ( leq @ pv35 @ ( minus @ n135300 @ n1 ) ) ) ) ) @ Y0 ) ) ) ) )
= $false )
| ~ spl1_9
| ~ spl1_155 ),
inference(beta-eta_normalization,[],[f2526]) ).
thf(f2531,plain,
( ( ( mbox_s4
@ ^ [Y0: $i] : $true
@ ( sK2
@ ( mbox_s4
@ ^ [Y0: $i] : $true ) ) )
= $false )
| ~ spl1_9
| ~ spl1_155 ),
inference(boolean_simplification,[],[f2530]) ).
thf(f2545,definition,
( spl1_159
<=> ( ( mbox_s4
@ ^ [Y0: $i] : $true
@ ( sK2
@ ( mbox_s4
@ ^ [Y0: $i] : $true ) ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl1_159])],[avatar_definition]) ).
thf(f2547,plain,
( ( ( mbox_s4
@ ^ [Y0: $i] : $true
@ ( sK2
@ ( mbox_s4
@ ^ [Y0: $i] : $true ) ) )
= $false )
| ~ spl1_159 ),
inference(avatar_component_clause,[],[f2545]) ).
thf(f2548,plain,
( spl1_159
| ~ spl1_9
| ~ spl1_155 ),
inference(avatar_split_clause,[],[f2531,f2379,f889,f2545]) ).
thf(f2700,plain,
( ( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( rel_s4 @ Y0 @ Y1 )
| ( ^ [Y2: $i] : $true
@ Y1 ) ) )
@ ( sK2
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( rel_s4 @ Y0 @ Y1 )
| ( ^ [Y2: $i] : $true
@ Y1 ) ) ) ) )
= $false )
| ~ spl1_98
| ~ spl1_159 ),
inference(backward_demodulation,[],[f2547,f2446]) ).
thf(f2702,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rel_s4
@ ( sK2
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ~ ( rel_s4 @ Y1 @ Y2 )
| $true ) ) )
@ Y0 )
| $true ) )
= $false )
| ~ spl1_98
| ~ spl1_159 ),
inference(beta-eta_normalization,[],[f2700]) ).
thf(f2703,plain,
( ( ( ^ [Y0: $i] :
( ~ ( rel_s4
@ ( sK2
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ~ ( rel_s4 @ Y1 @ Y2 )
| $true ) ) )
@ Y0 )
| $true )
@ sK4 )
= $false )
| ~ spl1_98
| ~ spl1_159 ),
inference(sigma_proxy_clausification,[],[f2702]) ).
thf(f2704,plain,
( ( ( ~ ( rel_s4
@ ( sK2
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( rel_s4 @ Y0 @ Y1 )
| $true ) ) )
@ sK4 )
| $true )
= $false )
| ~ spl1_98
| ~ spl1_159 ),
inference(beta-eta_normalization,[],[f2703]) ).
thf(f2705,plain,
( ( $true = $false )
| ~ spl1_98
| ~ spl1_159 ),
inference(or_proxy_clausification,[],[f2704]) ).
thf(f2709,plain,
( $false
| ~ spl1_98
| ~ spl1_159 ),
inference(trivial_inequality_removal,[],[f2705]) ).
thf(f2710,plain,
( ~ spl1_98
| ~ spl1_159 ),
inference(avatar_contradiction_clause,[],[f2709]) ).
cnf(s9,plain,
spl1_9,
inference(sat_conversion,[],[f892]) ).
cnf(s32,plain,
spl1_32,
inference(sat_conversion,[],[f1007]) ).
cnf(s49,plain,
spl1_49,
inference(sat_conversion,[],[f1092]) ).
cnf(s98,plain,
spl1_98,
inference(sat_conversion,[],[f1337]) ).
cnf(s139,plain,
~ spl1_139,
inference(sat_conversion,[],[f1542]) ).
cnf(s145,plain,
spl1_145,
inference(sat_conversion,[],[f1572]) ).
cnf(s153,plain,
( ~ spl1_49
| spl1_139
| ~ spl1_153 ),
inference(sat_conversion,[],[f1678]) ).
cnf(s154,plain,
( ~ spl1_32
| spl1_153
| spl1_154 ),
inference(sat_conversion,[],[f1941]) ).
cnf(s156,plain,
( ~ spl1_145
| ~ spl1_154
| spl1_155 ),
inference(sat_conversion,[],[f2382]) ).
cnf(s160,plain,
( ~ spl1_9
| ~ spl1_155
| spl1_159 ),
inference(sat_conversion,[],[f2548]) ).
cnf(s161,plain,
( ~ spl1_98
| ~ spl1_159 ),
inference(sat_conversion,[],[f2710]) ).
cnf(s289,plain,
~ spl1_159,
inference(rat,[],[s161,s98]) ).
cnf(s315,plain,
~ spl1_153,
inference(rat,[],[s153,s139,s49]) ).
cnf(s325,plain,
spl1_154,
inference(rat,[],[s154,s315,s32]) ).
cnf(s326,plain,
spl1_155,
inference(rat,[],[s156,s145,s325]) ).
cnf(s327,plain,
~ spl1_9,
inference(rat,[],[s160,s289,s326]) ).
cnf(s343,plain,
$false,
inference(rat,[],[s9,s327]) ).
thf(f3182,plain,
$false,
inference(avatar_sat_refutation,[],[s343]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV073^7 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.24 % Computer : n010.cluster.edu
% 0.12/0.24 % Model : x86_64 x86_64
% 0.12/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.24 % Memory : 8046.5625MB
% 0.12/0.24 % OS : Linux 6.8.0-71-generic
% 0.12/0.24 % CPULimit : 300
% 0.12/0.24 % WCLimit : 300
% 0.12/0.24 % DateTime : Tue Sep 29 16:00:19 UTC 2026
% 0.12/0.25 % CPUTime :
% 0.12/0.25 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.30 Running higher-order theorem proving
% 0.26/0.37 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.90/0.55 % (3040272)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.90/0.55 % (3040286)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3308482183:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.90/0.55 % (3040287)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.90/0.55 % (3040287)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
% 0.90/0.55 % (3040283)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1400687826:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.90/0.55 % (3040282)lrs+10_16_si=on:nwc=1.5:random_seed=697659017:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.90/0.55 % (3040284)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=3304209871: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)
% 0.90/0.55 % (3040285)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3785595788:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.90/0.55 % (3040281)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4132023693:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.90/0.55 % (3040287)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=1772881960:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.90/0.55 % (3040283)Instruction limit reached!
% 0.90/0.55 % (3040283)------------------------------
% 0.90/0.55 % (3040283)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.55 % (3040283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.55 % (3040283)CaDiCaL version: 2.1.3
% 0.90/0.55 % (3040283)Termination reason: Instruction limit
% 0.90/0.55 % (3040283)Termination phase: shuffling
% 0.90/0.55 % (3040283)Time elapsed: 0.003 s
% 0.90/0.55 % (3040283)Peak memory usage: 10 MB
% 0.90/0.55 % (3040283)Instructions burned: 3 (million)
% 0.90/0.55 % (3040286)Instruction limit reached!
% 0.90/0.55 % (3040286)------------------------------
% 0.90/0.55 % (3040286)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.55 % (3040286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.55 % (3040286)CaDiCaL version: 2.1.3
% 0.90/0.55 % (3040286)Termination reason: Instruction limit
% 0.90/0.55 % (3040286)Termination phase: Property scanning
% 0.90/0.55 % (3040286)Time elapsed: 0.027 s
% 0.90/0.55 % (3040286)Peak memory usage: 11 MB
% 0.90/0.55 % (3040286)Instructions burned: 76 (million)
% 0.90/0.55 % (3040282)Instruction limit reached!
% 0.90/0.55 % (3040282)------------------------------
% 0.90/0.55 % (3040282)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.55 % (3040282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.55 % (3040282)CaDiCaL version: 2.1.3
% 0.90/0.55 % (3040282)Termination reason: Instruction limit
% 0.90/0.55 % (3040282)Termination phase: shuffling
% 0.90/0.55 % (3040282)Time elapsed: 0.014 s
% 0.90/0.55 % (3040282)Peak memory usage: 10 MB
% 0.90/0.55 % (3040282)Instructions burned: 19 (million)
% 0.90/0.55 % (3040285)Instruction limit reached!
% 0.90/0.55 % (3040285)------------------------------
% 0.90/0.55 % (3040285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.55 % (3040285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.55 % (3040285)CaDiCaL version: 2.1.3
% 0.90/0.55 % (3040285)Termination reason: Instruction limit
% 0.90/0.55 % (3040285)Termination phase: shuffling
% 0.90/0.55 % (3040285)Time elapsed: 0.018 s
% 0.90/0.55 % (3040285)Peak memory usage: 10 MB
% 0.90/0.55 % (3040285)Instructions burned: 24 (million)
% 0.90/0.55 % (3040300)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2655372530:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.90/0.55 % (3040300)Instruction limit reached!
% 0.90/0.55 % (3040300)------------------------------
% 0.90/0.55 % (3040300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.59 % (3040300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.59 % (3040300)CaDiCaL version: 2.1.3
% 0.90/0.59 % (3040300)Termination reason: Instruction limit
% 0.90/0.59 % (3040300)Termination phase: shuffling
% 0.90/0.59 % (3040300)Time elapsed: 0.003 s
% 0.90/0.59 % (3040300)Peak memory usage: 10 MB
% 0.90/0.59 % (3040300)Instructions burned: 7 (million)
% 0.90/0.59 % (3040301)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.90/0.59 % (3040298)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=4020805138:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.90/0.59 % (3040308)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
% 0.90/0.59 % (3040298)Instruction limit reached!
% 0.90/0.59 % (3040298)------------------------------
% 0.90/0.59 % (3040298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.59 % (3040298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.59 % (3040298)CaDiCaL version: 2.1.3
% 0.90/0.59 % (3040298)Termination reason: Instruction limit
% 0.90/0.59 % (3040298)Termination phase: shuffling
% 0.90/0.59 % (3040298)Time elapsed: 0.002 s
% 0.90/0.59 % (3040298)Peak memory usage: 10 MB
% 0.90/0.59 % (3040298)Instructions burned: 2 (million)
% 0.90/0.59 % (3040308)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.90/0.59 % (3040301)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=891582615:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.90/0.59 % (3040308)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1213902188:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.90/0.59 % (3040302)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2027662615:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.90/0.59 % (3040301)Instruction limit reached!
% 0.90/0.59 % (3040301)------------------------------
% 0.90/0.59 % (3040301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.59 % (3040301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.59 % (3040301)CaDiCaL version: 2.1.3
% 0.90/0.59 % (3040301)Termination reason: Instruction limit
% 0.90/0.59 % (3040301)Termination phase: shuffling
% 0.90/0.59 % (3040301)Time elapsed: 0.006 s
% 0.90/0.59 % (3040301)Peak memory usage: 10 MB
% 0.90/0.59 % (3040301)Instructions burned: 7 (million)
% 0.90/0.59 % (3040308)Instruction limit reached!
% 0.90/0.59 % (3040308)------------------------------
% 0.90/0.59 % (3040308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.59 % (3040308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.59 % (3040308)CaDiCaL version: 2.1.3
% 0.90/0.59 % (3040308)Termination reason: Instruction limit
% 0.90/0.59 % (3040308)Termination phase: shuffling
% 0.90/0.59 % (3040308)Time elapsed: 0.006 s
% 0.90/0.59 % (3040308)Peak memory usage: 10 MB
% 0.90/0.59 % (3040308)Instructions burned: 29 (million)
% 0.90/0.59 % (3040302)Instruction limit reached!
% 0.90/0.59 % (3040302)------------------------------
% 0.90/0.59 % (3040302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.59 % (3040302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.59 % (3040302)CaDiCaL version: 2.1.3
% 0.90/0.59 % (3040302)Termination reason: Instruction limit
% 0.90/0.59 % (3040302)Termination phase: shuffling
% 0.90/0.59 % (3040302)Time elapsed: 0.011 s
% 0.90/0.59 % (3040302)Peak memory usage: 10 MB
% 0.90/0.59 % (3040302)Instructions burned: 13 (million)
% 0.90/0.59 % (3040318)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.90/0.59 % (3040281)Instruction limit reached!
% 0.90/0.59 % (3040281)------------------------------
% 0.90/0.59 % (3040281)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.59 % (3040281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.62 % (3040281)CaDiCaL version: 2.1.3
% 0.90/0.62 % (3040281)Termination reason: Instruction limit
% 0.90/0.62 % (3040281)Termination phase: Property scanning
% 0.90/0.62 % (3040281)Time elapsed: 0.067 s
% 0.90/0.62 % (3040281)Peak memory usage: 11 MB
% 0.90/0.62 % (3040281)Instructions burned: 87 (million)
% 0.90/0.62 % (3040318)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=1000899193:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.90/0.62 % (3040318)Instruction limit reached!
% 0.90/0.62 % (3040318)------------------------------
% 0.90/0.62 % (3040318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.62 % (3040318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.62 % (3040318)CaDiCaL version: 2.1.3
% 0.90/0.62 % (3040318)Termination reason: Instruction limit
% 0.90/0.62 % (3040318)Termination phase: shuffling
% 0.90/0.62 % (3040318)Time elapsed: 0.001 s
% 0.90/0.62 % (3040318)Peak memory usage: 10 MB
% 0.90/0.62 % (3040318)Instructions burned: 3 (million)
% 0.90/0.62 % (3040323)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1533585189:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.90/0.62 % (3040313)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=750955532:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 0.90/0.62 % (3040323)Instruction limit reached!
% 0.90/0.62 % (3040323)------------------------------
% 0.90/0.62 % (3040323)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.62 % (3040323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.62 % (3040323)CaDiCaL version: 2.1.3
% 0.90/0.62 % (3040323)Termination reason: Instruction limit
% 0.90/0.62 % (3040323)Termination phase: shuffling
% 0.90/0.62 % (3040323)Time elapsed: 0.006 s
% 0.90/0.62 % (3040323)Peak memory usage: 10 MB
% 0.90/0.62 % (3040323)Instructions burned: 27 (million)
% 0.90/0.62 % (3040316)lrs+10_1_si=on:cs=on:random_seed=2733267929:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.90/0.63 % (3040316)Instruction limit reached!
% 0.90/0.63 % (3040316)------------------------------
% 0.90/0.63 % (3040316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.63 % (3040316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.63 % (3040316)CaDiCaL version: 2.1.3
% 0.90/0.63 % (3040316)Termination reason: Instruction limit
% 0.90/0.63 % (3040316)Termination phase: shuffling
% 0.90/0.63 % (3040316)Time elapsed: 0.006 s
% 0.90/0.63 % (3040316)Peak memory usage: 10 MB
% 0.90/0.63 % (3040316)Instructions burned: 8 (million)
% 0.90/0.63 % (3040320)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=4086979459:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.90/0.63 % (3040330)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1602471681:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.90/0.63 % (3040322)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2534158098:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.90/0.63 % (3040330)Instruction limit reached!
% 0.90/0.63 % (3040330)------------------------------
% 0.90/0.63 % (3040330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.63 % (3040330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.63 % (3040330)CaDiCaL version: 2.1.3
% 0.90/0.63 % (3040330)Termination reason: Instruction limit
% 0.90/0.63 % (3040330)Termination phase: shuffling
% 0.90/0.63 % (3040330)Time elapsed: 0.003 s
% 0.90/0.63 % (3040330)Peak memory usage: 10 MB
% 0.90/0.63 % (3040330)Instructions burned: 15 (million)
% 0.90/0.63 % (3040335)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2409206683:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.90/0.63 % (3040287)Instruction limit reached!
% 0.90/0.63 % (3040287)------------------------------
% 0.90/0.63 % (3040287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.63 % (3040287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.70 % (3040287)CaDiCaL version: 2.1.3
% 2.14/0.70 % (3040287)Termination reason: Instruction limit
% 2.14/0.70 % (3040287)Termination phase: Property scanning
% 2.14/0.70 % (3040287)Time elapsed: 0.116 s
% 2.14/0.70 % (3040287)Peak memory usage: 11 MB
% 2.14/0.70 % (3040287)Instructions burned: 158 (million)
% 2.14/0.70 % (3040335)Instruction limit reached!
% 2.14/0.70 % (3040335)------------------------------
% 2.14/0.70 % (3040335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.70 % (3040335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.70 % (3040335)CaDiCaL version: 2.1.3
% 2.14/0.70 % (3040335)Termination reason: Instruction limit
% 2.14/0.70 % (3040335)Termination phase: shuffling
% 2.14/0.70 % (3040335)Time elapsed: 0.004 s
% 2.14/0.70 % (3040335)Peak memory usage: 10 MB
% 2.14/0.70 % (3040335)Instructions burned: 18 (million)
% 2.14/0.70 % (3040320)Instruction limit reached!
% 2.14/0.70 % (3040320)------------------------------
% 2.14/0.70 % (3040320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.70 % (3040320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.70 % (3040320)CaDiCaL version: 2.1.3
% 2.14/0.70 % (3040320)Termination reason: Instruction limit
% 2.14/0.70 % (3040320)Termination phase: shuffling
% 2.14/0.70 % (3040320)Time elapsed: 0.028 s
% 2.14/0.70 % (3040320)Peak memory usage: 10 MB
% 2.14/0.70 % (3040320)Instructions burned: 38 (million)
% 2.14/0.70 % (3040338)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3039864078: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)
% 2.14/0.70 % (3040338)Instruction limit reached!
% 2.14/0.70 % (3040338)------------------------------
% 2.14/0.70 % (3040338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.70 % (3040338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.70 % (3040338)CaDiCaL version: 2.1.3
% 2.14/0.70 % (3040338)Termination reason: Instruction limit
% 2.14/0.70 % (3040338)Termination phase: shuffling
% 2.14/0.70 % (3040338)Time elapsed: 0.002 s
% 2.14/0.70 % (3040338)Peak memory usage: 10 MB
% 2.14/0.70 % (3040338)Instructions burned: 2 (million)
% 2.14/0.70 % (3040331)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2511876887:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 2.14/0.70 % (3040341)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3075286826:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.14/0.70 % (3040341)Instruction limit reached!
% 2.14/0.70 % (3040341)------------------------------
% 2.14/0.70 % (3040341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.70 % (3040341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.70 % (3040341)CaDiCaL version: 2.1.3
% 2.14/0.70 % (3040341)Termination reason: Instruction limit
% 2.14/0.70 % (3040341)Termination phase: shuffling
% 2.14/0.70 % (3040341)Time elapsed: 0.006 s
% 2.14/0.70 % (3040341)Peak memory usage: 10 MB
% 2.14/0.70 % (3040341)Instructions burned: 26 (million)
% 2.14/0.70 % (3040313)Instruction limit reached!
% 2.14/0.70 % (3040313)------------------------------
% 2.14/0.70 % (3040313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.70 % (3040313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.70 % (3040313)CaDiCaL version: 2.1.3
% 2.14/0.70 % (3040313)Termination reason: Instruction limit
% 2.14/0.70 % (3040313)Termination phase: Function definition elimination
% 2.14/0.70 % (3040313)Time elapsed: 0.065 s
% 2.14/0.70 % (3040313)Peak memory usage: 11 MB
% 2.14/0.70 % (3040313)Instructions burned: 87 (million)
% 2.14/0.70 % (3040339)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=882657901:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 2.14/0.70 % (3040346)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
% 2.14/0.70 % (3040346)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.14/0.70 % (3040346)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=3260877783:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.67/0.80 % (3040346)Instruction limit reached!
% 2.67/0.80 % (3040346)------------------------------
% 2.67/0.80 % (3040346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.67/0.80 % (3040346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/0.80 % (3040346)CaDiCaL version: 2.1.3
% 2.67/0.80 % (3040346)Termination reason: Instruction limit
% 2.67/0.80 % (3040346)Termination phase: shuffling
% 2.67/0.80 % (3040346)Time elapsed: 0.003 s
% 2.67/0.80 % (3040346)Peak memory usage: 10 MB
% 2.67/0.80 % (3040346)Instructions burned: 15 (million)
% 2.67/0.80 % (3040343)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1092288516:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 2.67/0.80 % (3040322)Refutation not found, incomplete strategy
% 2.67/0.80 % (3040322)------------------------------
% 2.67/0.80 % (3040322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.67/0.80 % (3040322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/0.80 % (3040322)CaDiCaL version: 2.1.3
% 2.67/0.80 % (3040322)Termination reason: Refutation not found, incomplete strategy
% 2.67/0.80 % (3040322)Time elapsed: 0.065 s
% 2.67/0.80 % (3040322)Peak memory usage: 13 MB
% 2.67/0.80 % (3040322)Instructions burned: 84 (million)
% 2.67/0.80 % (3040322)------------------------------
% 2.67/0.80 % (3040322)------------------------------
% 2.67/0.80 % (3040339)Instruction limit reached!
% 2.67/0.80 % (3040339)------------------------------
% 2.67/0.80 % (3040339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.67/0.80 % (3040339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/0.80 % (3040339)CaDiCaL version: 2.1.3
% 2.67/0.80 % (3040339)Termination reason: Instruction limit
% 2.67/0.80 % (3040339)Termination phase: shuffling
% 2.67/0.80 % (3040339)Time elapsed: 0.017 s
% 2.67/0.80 % (3040339)Peak memory usage: 10 MB
% 2.67/0.80 % (3040339)Instructions burned: 28 (million)
% 2.67/0.80 % (3040351)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=3309346893:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.67/0.80 % (3040349)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.67/0.80 % (3040349)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=3111489740:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 2.67/0.80 % (3040354)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3817493423:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.67/0.80 % (3040351)Instruction limit reached!
% 2.67/0.80 % (3040351)------------------------------
% 2.67/0.80 % (3040351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.67/0.80 % (3040351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/0.80 % (3040351)CaDiCaL version: 2.1.3
% 2.67/0.80 % (3040351)Termination reason: Instruction limit
% 2.67/0.80 % (3040351)Termination phase: Property scanning
% 2.67/0.80 % (3040351)Time elapsed: 0.013 s
% 2.67/0.80 % (3040351)Peak memory usage: 10 MB
% 2.67/0.80 % (3040351)Instructions burned: 31 (million)
% 2.67/0.80 % (3040349)Instruction limit reached!
% 2.67/0.80 % (3040349)------------------------------
% 2.67/0.80 % (3040349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.67/0.80 % (3040349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/0.80 % (3040349)CaDiCaL version: 2.1.3
% 2.67/0.80 % (3040349)Termination reason: Instruction limit
% 2.67/0.80 % (3040349)Termination phase: shuffling
% 2.67/0.80 % (3040349)Time elapsed: 0.007 s
% 2.67/0.80 % (3040349)Peak memory usage: 10 MB
% 2.67/0.80 % (3040349)Instructions burned: 9 (million)
% 2.67/0.80 % (3040354)Instruction limit reached!
% 2.67/0.80 % (3040354)------------------------------
% 2.67/0.80 % (3040354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.67/0.80 % (3040354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/0.80 % (3040354)CaDiCaL version: 2.1.3
% 2.67/0.80 % (3040354)Termination reason: Instruction limit
% 2.67/0.80 % (3040354)Termination phase: shuffling
% 2.67/0.90 % (3040354)Time elapsed: 0.004 s
% 2.67/0.90 % (3040354)Peak memory usage: 10 MB
% 2.67/0.90 % (3040354)Instructions burned: 7 (million)
% 2.67/0.90 % (3040355)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=4090571762:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.67/0.90 % (3040343)Instruction limit reached!
% 2.67/0.90 % (3040343)------------------------------
% 2.67/0.90 % (3040343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.67/0.90 % (3040343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/0.90 % (3040343)CaDiCaL version: 2.1.3
% 2.67/0.90 % (3040343)Termination reason: Instruction limit
% 2.67/0.90 % (3040343)Termination phase: Preprocessing 3
% 2.67/0.90 % (3040343)Time elapsed: 0.046 s
% 2.67/0.90 % (3040343)Peak memory usage: 11 MB
% 2.67/0.90 % (3040343)Instructions burned: 60 (million)
% 2.67/0.90 % (3040364)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2474449153:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.67/0.90 % (3040362)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2864763016:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.67/0.90 % (3040355)Instruction limit reached!
% 2.67/0.90 % (3040355)------------------------------
% 2.67/0.90 % (3040355)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.67/0.90 % (3040355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/0.90 % (3040355)CaDiCaL version: 2.1.3
% 2.67/0.90 % (3040355)Termination reason: Instruction limit
% 2.67/0.90 % (3040355)Termination phase: shuffling
% 2.67/0.90 % (3040355)Time elapsed: 0.019 s
% 2.67/0.90 % (3040355)Peak memory usage: 10 MB
% 2.67/0.90 % (3040355)Instructions burned: 24 (million)
% 2.67/0.90 % (3040362)Instruction limit reached!
% 2.67/0.90 % (3040362)------------------------------
% 2.67/0.90 % (3040362)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.67/0.90 % (3040362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/0.90 % (3040362)CaDiCaL version: 2.1.3
% 2.67/0.90 % (3040362)Termination reason: Instruction limit
% 2.67/0.90 % (3040362)Termination phase: shuffling
% 2.67/0.90 % (3040362)Time elapsed: 0.010 s
% 2.67/0.90 % (3040362)Peak memory usage: 10 MB
% 2.67/0.90 % (3040362)Instructions burned: 22 (million)
% 2.67/0.90 % (3040363)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1778193728:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.67/0.90 % (3040370)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.67/0.90 % (3040367)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1827532548:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.67/0.90 % (3040370)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=749099428:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.67/0.90 % (3040370)Instruction limit reached!
% 2.67/0.90 % (3040370)------------------------------
% 2.67/0.90 % (3040370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.67/0.90 % (3040370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/0.90 % (3040370)CaDiCaL version: 2.1.3
% 2.67/0.90 % (3040370)Termination reason: Instruction limit
% 2.67/0.90 % (3040370)Termination phase: shuffling
% 2.67/0.90 % (3040370)Time elapsed: 0.005 s
% 2.67/0.90 % (3040370)Peak memory usage: 10 MB
% 2.67/0.90 % (3040370)Instructions burned: 9 (million)
% 2.67/0.90 % (3040369)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1318099585:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.67/0.90 % (3040364)Instruction limit reached!
% 2.67/0.90 % (3040364)------------------------------
% 2.67/0.90 % (3040364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.67/0.90 % (3040364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/0.90 % (3040364)CaDiCaL version: 2.1.3
% 2.67/0.90 % (3040364)Termination reason: Instruction limit
% 2.67/0.90 % (3040364)Termination phase: Property scanning
% 2.67/0.90 % (3040364)Time elapsed: 0.056 s
% 2.67/0.90 % (3040364)Peak memory usage: 11 MB
% 2.67/0.90 % (3040364)Instructions burned: 145 (million)
% 3.19/0.97 % (3040375)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=4285064151:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/181Mi)
% 3.19/0.97 % (3040369)Instruction limit reached!
% 3.19/0.97 % (3040369)------------------------------
% 3.19/0.97 % (3040369)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.19/0.97 % (3040369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/0.97 % (3040369)CaDiCaL version: 2.1.3
% 3.19/0.97 % (3040369)Termination reason: Instruction limit
% 3.19/0.97 % (3040369)Termination phase: Property scanning
% 3.19/0.97 % (3040369)Time elapsed: 0.032 s
% 3.19/0.97 % (3040369)Peak memory usage: 10 MB
% 3.19/0.97 % (3040369)Instructions burned: 42 (million)
% 3.19/0.97 % (3040381)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 3.19/0.97 % (3040378)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=1619185047:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2996 on theBenchmark for (2996ds/169Mi)
% 3.19/0.97 % (3040381)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=863076685:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2996 on theBenchmark for (2996ds/6Mi)
% 3.19/0.97 % (3040381)Instruction limit reached!
% 3.19/0.97 % (3040381)------------------------------
% 3.19/0.97 % (3040381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.19/0.97 % (3040381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/0.97 % (3040381)CaDiCaL version: 2.1.3
% 3.19/0.97 % (3040381)Termination reason: Instruction limit
% 3.19/0.97 % (3040381)Termination phase: shuffling
% 3.19/0.97 % (3040381)Time elapsed: 0.003 s
% 3.19/0.97 % (3040381)Peak memory usage: 10 MB
% 3.19/0.97 % (3040381)Instructions burned: 7 (million)
% 3.19/0.97 % (3040367)Refutation not found, incomplete strategy
% 3.19/0.97 % (3040367)------------------------------
% 3.19/0.97 % (3040367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.19/0.97 % (3040367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/0.97 % (3040367)CaDiCaL version: 2.1.3
% 3.19/0.97 % (3040367)Termination reason: Refutation not found, incomplete strategy
% 3.19/0.97 % (3040367)Time elapsed: 0.072 s
% 3.19/0.97 % (3040367)Peak memory usage: 14 MB
% 3.19/0.97 % (3040367)Instructions burned: 129 (million)
% 3.19/0.97 % (3040367)------------------------------
% 3.19/0.97 % (3040367)------------------------------
% 3.19/0.97 % (3040386)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1693970781:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 3.19/0.97 % (3040386)Instruction limit reached!
% 3.19/0.97 % (3040386)------------------------------
% 3.19/0.97 % (3040386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.19/0.97 % (3040386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/0.97 % (3040386)CaDiCaL version: 2.1.3
% 3.19/0.97 % (3040386)Termination reason: Instruction limit
% 3.19/0.97 % (3040386)Termination phase: shuffling
% 3.19/0.97 % (3040386)Time elapsed: 0.009 s
% 3.19/0.97 % (3040386)Peak memory usage: 10 MB
% 3.19/0.97 % (3040386)Instructions burned: 23 (million)
% 3.19/0.97 % (3040388)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1942336436:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 3.19/0.97 % (3040388)Instruction limit reached!
% 3.19/0.97 % (3040388)------------------------------
% 3.19/0.97 % (3040388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.19/0.97 % (3040388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/0.97 % (3040388)CaDiCaL version: 2.1.3
% 3.19/0.97 % (3040388)Termination reason: Instruction limit
% 3.19/0.97 % (3040388)Termination phase: shuffling
% 3.19/0.97 % (3040388)Time elapsed: 0.008 s
% 3.19/0.97 % (3040388)Peak memory usage: 10 MB
% 3.19/0.97 % (3040388)Instructions burned: 20 (million)
% 3.19/0.97 % (3040391)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=3647131430:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 3.19/0.97 % (3040394)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=3330476881:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2995 on theBenchmark for (2995ds/853Mi)
% 3.19/0.97 % (3040331)Instruction limit reached!
% 3.19/0.97 % (3040331)------------------------------
% 3.19/0.97 % (3040331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.19/0.97 % (3040331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/0.97 % (3040331)CaDiCaL version: 2.1.3
% 3.19/0.97 % (3040331)Termination reason: Instruction limit
% 3.19/0.97 % (3040331)Termination phase: Saturation
% 3.19/0.97 % (3040331)Time elapsed: 0.265 s
% 3.19/0.97 % (3040331)Peak memory usage: 14 MB
% 3.19/0.97 % (3040331)Instructions burned: 328 (million)
% 3.19/0.97 % (3040378)Refutation not found, incomplete strategy
% 3.19/0.97 % (3040378)------------------------------
% 3.19/0.97 % (3040378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.19/0.97 % (3040378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/0.97 % (3040378)CaDiCaL version: 2.1.3
% 3.19/0.97 % (3040378)Termination reason: Refutation not found, incomplete strategy
% 3.19/0.97 % (3040378)Time elapsed: 0.108 s
% 3.19/0.97 % (3040378)Peak memory usage: 14 MB
% 3.19/0.97 % (3040378)Instructions burned: 137 (million)
% 3.19/0.97 % (3040378)------------------------------
% 3.19/0.97 % (3040378)------------------------------
% 3.19/0.97 % (3040375)Instruction limit reached!
% 3.19/0.97 % (3040375)------------------------------
% 3.19/0.97 % (3040375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.19/0.97 % (3040375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/0.97 % (3040375)CaDiCaL version: 2.1.3
% 3.19/0.97 % (3040375)Termination reason: Instruction limit
% 3.19/0.97 % (3040375)Termination phase: Saturation
% 3.19/0.97 % (3040375)Time elapsed: 0.140 s
% 3.19/0.97 % (3040375)Peak memory usage: 13 MB
% 3.19/0.97 % (3040375)Instructions burned: 181 (million)
% 3.19/0.97 % (3040403)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=1540463397:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2995 on theBenchmark for (2995ds/45Mi)
% 3.19/0.97 % (3040404)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1928395257:i=480:rtra=on_2995 on theBenchmark for (2995ds/480Mi)
% 3.19/0.97 % (3040405)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1423595616:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2995 on theBenchmark for (2995ds/21Mi)
% 3.19/0.97 % (3040284)Instruction limit reached!
% 3.19/0.97 % (3040284)------------------------------
% 3.19/0.97 % (3040284)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.19/0.97 % (3040284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/0.97 % (3040284)CaDiCaL version: 2.1.3
% 3.19/0.97 % (3040284)Termination reason: Instruction limit
% 3.19/0.97 % (3040284)Termination phase: Saturation
% 3.19/0.97 % (3040284)Time elapsed: 0.461 s
% 3.19/0.97 % (3040284)Peak memory usage: 17 MB
% 3.19/0.97 % (3040284)Instructions burned: 634 (million)
% 3.19/0.97 % (3040405)Instruction limit reached!
% 3.19/0.97 % (3040405)------------------------------
% 3.19/0.97 % (3040405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.19/0.97 % (3040405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/0.97 % (3040405)CaDiCaL version: 2.1.3
% 3.19/0.97 % (3040405)Termination reason: Instruction limit
% 3.19/0.97 % (3040405)Termination phase: shuffling
% 3.19/0.97 % (3040405)Time elapsed: 0.016 s
% 3.19/0.97 % (3040405)Peak memory usage: 10 MB
% 3.19/0.97 % (3040405)Instructions burned: 21 (million)
% 3.19/0.97 % (3040403)Instruction limit reached!
% 3.19/0.97 % (3040403)------------------------------
% 3.19/0.97 % (3040403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.19/0.97 % (3040403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/0.97 % (3040403)CaDiCaL version: 2.1.3
% 3.19/0.97 % (3040403)Termination reason: Instruction limit
% 3.19/0.97 % (3040403)Termination phase: shuffling
% 3.19/0.97 % (3040403)Time elapsed: 0.035 s
% 3.19/0.97 % (3040403)Peak memory usage: 10 MB
% 3.19/0.97 % (3040403)Instructions burned: 46 (million)
% 3.19/0.97 % (3040409)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 3.19/0.97 % (3040409)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3370937786:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/200Mi)
% 3.19/0.97 % (3040410)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2627644664:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2994 on theBenchmark for (2994ds/13Mi)
% 3.19/0.97 % (3040411)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=428823625:i=66:s2at=3:nm=2:rtra=on:rawr=on_2994 on theBenchmark for (2994ds/66Mi)
% 3.19/0.97 % (3040410)Instruction limit reached!
% 3.19/0.97 % (3040410)------------------------------
% 3.19/0.97 % (3040410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.19/0.97 % (3040410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/0.97 % (3040410)CaDiCaL version: 2.1.3
% 3.19/0.97 % (3040410)Termination reason: Instruction limit
% 3.19/0.97 % (3040410)Termination phase: shuffling
% 3.19/0.97 % (3040410)Time elapsed: 0.010 s
% 3.19/0.97 % (3040410)Peak memory usage: 10 MB
% 3.19/0.97 % (3040410)Instructions burned: 13 (million)
% 3.19/0.97 % (3040394) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3040272-3040394"...
% 3.19/0.97 % (3040394)...printing done.
% 3.19/0.97 % (3040394)Refutation found. Thanks to Tanya!
% 3.19/0.97 % SZS status Theorem for theBenchmark
% 3.19/0.97 % SZS output start Proof for theBenchmark
% See solution above
% 3.19/0.97 % (3040394)------------------------------
% 3.19/0.97 % (3040394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.19/0.97 % (3040394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/0.97 % (3040394)CaDiCaL version: 2.1.3
% 3.19/0.97 % (3040394)Termination reason: Refutation
% 3.19/0.97 % (3040394)Time elapsed: 0.163 s
% 3.19/0.97 % (3040394)Peak memory usage: 16 MB
% 3.19/0.97 % (3040394)Instructions burned: 361 (million)
% 3.19/0.97 % (3040272)Success in time 0.591 s
% 3.19/0.97 % Vampire exiting
%------------------------------------------------------------------------------