%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV730-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:19:21 PM UTC 2026
% Result : Unsatisfiable 7.86s 1.96s
% Output : Refutation 9.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 21
% Syntax : Number of formulae : 134 ( 13 unt; 15 def)
% Number of atoms : 386 ( 128 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 389 ( 137 ~; 237 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 16 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 199 ( 0 sgn 199 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f35,axiom,
! [X0,X1] :
( ~ hBOOL(hAPP(X0,c_Public_Okeymode_OEncryption))
| hBOOL(hAPP(X0,X1))
| ~ hBOOL(hAPP(X0,c_Public_Okeymode_OSignature)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_keymode_Oinduct_0) ).
fof(f44,axiom,
c_Public_Okeymode_OEncryption != c_Public_Okeymode_OSignature,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_keymode_Osimps_I2_J_0) ).
fof(f45,plain,
c_Public_Okeymode_OSignature != c_Public_Okeymode_OEncryption,
inference(reorient_equations,[],[f44]) ).
fof(f46,axiom,
! [X0,X1] : ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bot1E_0) ).
fof(f436,axiom,
! [X2,X3,X0,X1] :
( hBOOL(hAPP(c_Set_Oinsert(X0,X1,X2),X3))
| ~ hBOOL(hAPP(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_2) ).
fof(f459,axiom,
! [X2,X3,X0,X1] :
( hBOOL(hAPP(X0,X1))
| X2 = X1
| ~ hBOOL(hAPP(c_Set_Oinsert(X2,X0,X3),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_0) ).
fof(f460,plain,
! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP(c_Set_Oinsert(X2,X0,X3),X1))
| X1 = X2
| hBOOL(hAPP(X0,X1)) ),
inference(reorient_equations,[],[f459]) ).
fof(f482,axiom,
! [X2,X0,X1] : hBOOL(hAPP(c_Set_Oinsert(X0,X1,X2),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_1) ).
fof(f738,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,X0,X1),c_Public_Okeymode_OSignature))
| hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,X0,X1),X2)) ),
inference(resolution,[],[f482,f35]) ).
fof(f739,plain,
! [X2,X0,X1] :
( hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,X0,X1),X2))
| ~ hBOOL(hAPP(X0,c_Public_Okeymode_OSignature)) ),
inference(resolution,[],[f738,f436]) ).
fof(f745,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(X1,c_Public_Okeymode_OSignature))
| hBOOL(hAPP(X1,X0))
| c_Public_Okeymode_OEncryption = X0 ),
inference(resolution,[],[f460,f739]) ).
fof(f747,plain,
! [X2,X0,X1] :
( hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,X0,X1),X2))
| c_Public_Okeymode_OEncryption = X2 ),
inference(resolution,[],[f745,f482]) ).
fof(f749,plain,
! [X0,X1] :
( hBOOL(hAPP(X1,X0))
| c_Public_Okeymode_OSignature = X0
| c_Public_Okeymode_OEncryption = X0 ),
inference(resolution,[],[f747,f460]) ).
fof(f752,plain,
! [X0] :
( c_Public_Okeymode_OSignature = X0
| c_Public_Okeymode_OEncryption = X0 ),
inference(resolution,[],[f749,f46]) ).
fof(f757,plain,
! [X0,X1] :
( X0 = X1
| c_Public_Okeymode_OEncryption = X1
| c_Public_Okeymode_OEncryption = X0 ),
inference(superposition,[],[f752,f752]) ).
fof(f760,plain,
! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,X1,X2),X0))
| hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,X1,X2),X3))
| c_Public_Okeymode_OEncryption = X0 ),
inference(superposition,[],[f738,f752]) ).
fof(f784,plain,
! [X2,X0,X1] :
( hBOOL(hAPP(c_Public_Okeymode_OSignature,X2))
| c_Public_Okeymode_OEncryption = X2
| c_Public_Okeymode_OEncryption = c_Set_Oinsert(c_Public_Okeymode_OSignature,X0,X1) ),
inference(superposition,[],[f747,f752]) ).
fof(f1033,definition,
( spl16_46
<=> ! [X0,X1] : c_Public_Okeymode_OEncryption = c_Set_Oinsert(c_Public_Okeymode_OSignature,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl16_46])],[avatar_definition]) ).
fof(f1034,plain,
( ! [X0,X1] : c_Public_Okeymode_OEncryption = c_Set_Oinsert(c_Public_Okeymode_OSignature,X0,X1)
| ~ spl16_46 ),
inference(avatar_component_clause,[],[f1033]) ).
fof(f1036,definition,
( spl16_47
<=> ! [X2] :
( hBOOL(hAPP(c_Public_Okeymode_OSignature,X2))
| c_Public_Okeymode_OEncryption = X2 ) ),
introduced(definition,[new_symbols(definition,[spl16_47])],[avatar_definition]) ).
fof(f1037,plain,
( ! [X2] :
( hBOOL(hAPP(c_Public_Okeymode_OSignature,X2))
| c_Public_Okeymode_OEncryption = X2 )
| ~ spl16_47 ),
inference(avatar_component_clause,[],[f1036]) ).
fof(f1038,plain,
( spl16_46
| spl16_47 ),
inference(avatar_split_clause,[],[f784,f1036,f1033]) ).
fof(f1040,definition,
( spl16_48
<=> ! [X0,X1] : c_Public_Okeymode_OEncryption = c_Set_Oinsert(c_Public_Okeymode_OEncryption,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl16_48])],[avatar_definition]) ).
fof(f1041,plain,
( ! [X0,X1] : c_Public_Okeymode_OEncryption = c_Set_Oinsert(c_Public_Okeymode_OEncryption,X0,X1)
| ~ spl16_48 ),
inference(avatar_component_clause,[],[f1040]) ).
fof(f1043,definition,
( spl16_49
<=> ! [X2] : hBOOL(hAPP(c_Public_Okeymode_OSignature,X2)) ),
introduced(definition,[new_symbols(definition,[spl16_49])],[avatar_definition]) ).
fof(f1044,plain,
( ! [X2] : hBOOL(hAPP(c_Public_Okeymode_OSignature,X2))
| ~ spl16_49 ),
inference(avatar_component_clause,[],[f1043]) ).
fof(f1099,definition,
( spl16_62
<=> ! [X0] : c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) = c_Public_Okeymode_OEncryption ),
introduced(definition,[new_symbols(definition,[spl16_62])],[avatar_definition]) ).
fof(f1100,plain,
( ! [X0] : c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) = c_Public_Okeymode_OEncryption
| ~ spl16_62 ),
inference(avatar_component_clause,[],[f1099]) ).
fof(f1158,plain,
! [X2,X3,X0,X1] :
( hBOOL(hAPP(X0,X3))
| c_Public_Okeymode_OEncryption = X3
| c_Public_Okeymode_OEncryption = X0
| c_Public_Okeymode_OEncryption = c_Set_Oinsert(c_Public_Okeymode_OSignature,X1,X2) ),
inference(superposition,[],[f747,f757]) ).
fof(f1199,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(X0,X2))
| c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_Public_Okeymode_OEncryption
| c_Public_Okeymode_OEncryption = X0 ),
inference(superposition,[],[f46,f757]) ).
fof(f1263,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(c_Public_Okeymode_OEncryption,X1))
| c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) = X2
| c_Public_Okeymode_OEncryption = X2 ),
inference(superposition,[],[f46,f757]) ).
fof(f1283,plain,
! [X2,X3,X0,X1] :
( hBOOL(hAPP(c_Public_Okeymode_OEncryption,X2))
| c_Public_Okeymode_OEncryption = X2
| c_Set_Oinsert(c_Public_Okeymode_OSignature,X0,X1) = X3
| c_Public_Okeymode_OEncryption = X3 ),
inference(superposition,[],[f747,f757]) ).
fof(f1451,definition,
( spl16_75
<=> hBOOL(c_Public_Okeymode_OEncryption) ),
introduced(definition,[new_symbols(definition,[spl16_75])],[avatar_definition]) ).
fof(f1452,plain,
( ~ hBOOL(c_Public_Okeymode_OEncryption)
| spl16_75 ),
inference(avatar_component_clause,[],[f1451]) ).
fof(f1453,plain,
( hBOOL(c_Public_Okeymode_OEncryption)
| ~ spl16_75 ),
inference(avatar_component_clause,[],[f1451]) ).
fof(f1510,plain,
( ! [X2,X3] :
( c_Public_Okeymode_OEncryption = X3
| hBOOL(hAPP(c_Public_Okeymode_OEncryption,X2))
| c_Public_Okeymode_OEncryption = X2
| c_Public_Okeymode_OEncryption = X3 )
| ~ spl16_46 ),
inference(forward_demodulation,[],[f1283,f1034]) ).
fof(f1511,plain,
( ! [X2,X3] :
( c_Public_Okeymode_OEncryption = X3
| hBOOL(hAPP(c_Public_Okeymode_OEncryption,X2))
| c_Public_Okeymode_OEncryption = X2 )
| ~ spl16_46 ),
inference(duplicate_literal_removal,[],[f1510]) ).
fof(f1528,plain,
( ! [X2,X1] :
( c_Public_Okeymode_OEncryption = X2
| ~ hBOOL(hAPP(c_Public_Okeymode_OEncryption,X1))
| c_Public_Okeymode_OEncryption = X2 )
| ~ spl16_62 ),
inference(forward_demodulation,[],[f1263,f1100]) ).
fof(f1529,plain,
( ! [X2,X1] :
( c_Public_Okeymode_OEncryption = X2
| ~ hBOOL(hAPP(c_Public_Okeymode_OEncryption,X1)) )
| ~ spl16_62 ),
inference(duplicate_literal_removal,[],[f1528]) ).
fof(f1631,definition,
( spl16_84
<=> ! [X2] :
( hBOOL(hAPP(c_Public_Okeymode_OEncryption,X2))
| c_Public_Okeymode_OEncryption = X2 ) ),
introduced(definition,[new_symbols(definition,[spl16_84])],[avatar_definition]) ).
fof(f1632,plain,
( ! [X2] :
( hBOOL(hAPP(c_Public_Okeymode_OEncryption,X2))
| c_Public_Okeymode_OEncryption = X2 )
| ~ spl16_84 ),
inference(avatar_component_clause,[],[f1631]) ).
fof(f1634,definition,
( spl16_85
<=> ! [X3] : c_Public_Okeymode_OEncryption = X3 ),
introduced(definition,[new_symbols(definition,[spl16_85])],[avatar_definition]) ).
fof(f1635,plain,
( ! [X3] : c_Public_Okeymode_OEncryption = X3
| ~ spl16_85 ),
inference(avatar_component_clause,[],[f1634]) ).
fof(f1647,definition,
( spl16_88
<=> ! [X1] : ~ hBOOL(hAPP(c_Public_Okeymode_OEncryption,X1)) ),
introduced(definition,[new_symbols(definition,[spl16_88])],[avatar_definition]) ).
fof(f1648,plain,
( ! [X1] : ~ hBOOL(hAPP(c_Public_Okeymode_OEncryption,X1))
| ~ spl16_88 ),
inference(avatar_component_clause,[],[f1647]) ).
fof(f1687,plain,
( spl16_84
| spl16_85
| ~ spl16_46 ),
inference(avatar_split_clause,[],[f1511,f1033,f1634,f1631]) ).
fof(f1691,plain,
( spl16_88
| spl16_85
| ~ spl16_62 ),
inference(avatar_split_clause,[],[f1529,f1099,f1634,f1647]) ).
fof(f1939,definition,
( spl16_107
<=> ! [X2,X0] :
( ~ hBOOL(hAPP(X0,X2))
| c_Public_Okeymode_OEncryption = X0 ) ),
introduced(definition,[new_symbols(definition,[spl16_107])],[avatar_definition]) ).
fof(f1940,plain,
( ! [X2,X0] :
( ~ hBOOL(hAPP(X0,X2))
| c_Public_Okeymode_OEncryption = X0 )
| ~ spl16_107 ),
inference(avatar_component_clause,[],[f1939]) ).
fof(f1941,plain,
( spl16_62
| spl16_107 ),
inference(avatar_split_clause,[],[f1199,f1939,f1099]) ).
fof(f1955,definition,
( spl16_109
<=> ! [X0,X3] :
( hBOOL(hAPP(X0,X3))
| c_Public_Okeymode_OEncryption = X0
| c_Public_Okeymode_OEncryption = X3 ) ),
introduced(definition,[new_symbols(definition,[spl16_109])],[avatar_definition]) ).
fof(f1956,plain,
( ! [X3,X0] :
( hBOOL(hAPP(X0,X3))
| c_Public_Okeymode_OEncryption = X0
| c_Public_Okeymode_OEncryption = X3 )
| ~ spl16_109 ),
inference(avatar_component_clause,[],[f1955]) ).
fof(f1958,plain,
( spl16_46
| spl16_109 ),
inference(avatar_split_clause,[],[f1158,f1955,f1033]) ).
fof(f2301,plain,
( ~ hBOOL(c_Public_Okeymode_OEncryption)
| ~ spl16_85 ),
inference(superposition,[],[f46,f1635]) ).
fof(f2307,plain,
( hBOOL(c_Public_Okeymode_OEncryption)
| ~ spl16_85 ),
inference(superposition,[],[f482,f1635]) ).
fof(f2386,plain,
( $false
| spl16_75
| ~ spl16_85 ),
inference(forward_subsumption_resolution,[],[f2307,f1452]) ).
fof(f2387,plain,
( spl16_75
| ~ spl16_85 ),
inference(avatar_contradiction_clause,[],[f2386]) ).
fof(f2394,plain,
( $false
| ~ spl16_75
| ~ spl16_85 ),
inference(forward_subsumption_resolution,[],[f2301,f1453]) ).
fof(f2395,plain,
( ~ spl16_75
| ~ spl16_85 ),
inference(avatar_contradiction_clause,[],[f2394]) ).
fof(f3054,plain,
( ! [X2,X0,X1] :
( hBOOL(hAPP(X0,X1))
| X0 = X1
| X0 = X2
| c_Public_Okeymode_OEncryption = X2 )
| ~ spl16_84 ),
inference(superposition,[],[f1632,f757]) ).
fof(f3142,plain,
( ! [X2,X0,X1] :
( c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) = X1
| c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) = X2
| c_Public_Okeymode_OEncryption = X2 )
| ~ spl16_84 ),
inference(resolution,[],[f3054,f46]) ).
fof(f3144,plain,
( ! [X2,X0,X1] :
( hBOOL(hAPP(X0,X2))
| X0 = X1
| c_Public_Okeymode_OEncryption = X1
| c_Public_Okeymode_OSignature = X0
| c_Public_Okeymode_OEncryption = X2 )
| ~ spl16_84 ),
inference(resolution,[],[f3054,f745]) ).
fof(f3156,plain,
( ! [X2,X0,X1] :
( c_Public_Okeymode_OEncryption = X1
| c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) = X2
| c_Public_Okeymode_OEncryption = X2 )
| ~ spl16_62
| ~ spl16_84 ),
inference(forward_demodulation,[],[f3142,f1100]) ).
fof(f3157,plain,
( ! [X2,X1] :
( c_Public_Okeymode_OEncryption = X2
| c_Public_Okeymode_OEncryption = X1
| c_Public_Okeymode_OEncryption = X2 )
| ~ spl16_62
| ~ spl16_84 ),
inference(forward_demodulation,[],[f3156,f1100]) ).
fof(f3158,plain,
( ! [X2,X1] :
( c_Public_Okeymode_OEncryption = X2
| c_Public_Okeymode_OEncryption = X1 )
| ~ spl16_62
| ~ spl16_84 ),
inference(duplicate_literal_removal,[],[f3157]) ).
fof(f3159,plain,
( spl16_85
| spl16_85
| ~ spl16_62
| ~ spl16_84 ),
inference(avatar_split_clause,[],[f3158,f1631,f1099,f1634,f1634]) ).
fof(f3172,plain,
( ! [X2,X0,X1] : c_Set_Oinsert(X0,X1,X2) = c_Public_Okeymode_OEncryption
| ~ spl16_107 ),
inference(resolution,[],[f1940,f482]) ).
fof(f3191,plain,
( ! [X2,X3,X0,X1,X4] :
( c_Set_Oinsert(X0,X1,X2) = X3
| c_Public_Okeymode_OEncryption = X3
| c_Set_Oinsert(X0,X1,X2) = c_Public_Okeymode_OSignature
| c_Public_Okeymode_OEncryption = X4
| X0 = X4
| hBOOL(hAPP(X1,X4)) )
| ~ spl16_84 ),
inference(resolution,[],[f3144,f460]) ).
fof(f3201,plain,
( ! [X2,X3,X0,X1,X4] :
( c_Public_Okeymode_OEncryption = X3
| c_Public_Okeymode_OEncryption = X3
| c_Set_Oinsert(X0,X1,X2) = c_Public_Okeymode_OSignature
| c_Public_Okeymode_OEncryption = X4
| X0 = X4
| hBOOL(hAPP(X1,X4)) )
| ~ spl16_84
| ~ spl16_107 ),
inference(forward_demodulation,[],[f3191,f3172]) ).
fof(f3202,plain,
( ! [X2,X3,X0,X1,X4] :
( c_Public_Okeymode_OEncryption = X3
| c_Set_Oinsert(X0,X1,X2) = c_Public_Okeymode_OSignature
| c_Public_Okeymode_OEncryption = X4
| X0 = X4
| hBOOL(hAPP(X1,X4)) )
| ~ spl16_84
| ~ spl16_107 ),
inference(duplicate_literal_removal,[],[f3201]) ).
fof(f3203,plain,
( ! [X3,X0,X1,X4] :
( c_Public_Okeymode_OSignature = c_Public_Okeymode_OEncryption
| c_Public_Okeymode_OEncryption = X3
| c_Public_Okeymode_OEncryption = X4
| X0 = X4
| hBOOL(hAPP(X1,X4)) )
| ~ spl16_84
| ~ spl16_107 ),
inference(forward_demodulation,[],[f3202,f3172]) ).
fof(f3204,plain,
( ! [X3,X0,X1,X4] :
( c_Public_Okeymode_OEncryption = X3
| c_Public_Okeymode_OEncryption = X4
| X0 = X4
| hBOOL(hAPP(X1,X4)) )
| ~ spl16_84
| ~ spl16_107 ),
inference(forward_subsumption_resolution,[],[f3203,f45]) ).
fof(f3206,definition,
( spl16_183
<=> ! [X4,X0,X1] :
( c_Public_Okeymode_OEncryption = X4
| hBOOL(hAPP(X1,X4))
| X0 = X4 ) ),
introduced(definition,[new_symbols(definition,[spl16_183])],[avatar_definition]) ).
fof(f3207,plain,
( ! [X0,X1,X4] :
( hBOOL(hAPP(X1,X4))
| c_Public_Okeymode_OEncryption = X4
| X0 = X4 )
| ~ spl16_183 ),
inference(avatar_component_clause,[],[f3206]) ).
fof(f3208,plain,
( spl16_183
| spl16_85
| ~ spl16_84
| ~ spl16_107 ),
inference(avatar_split_clause,[],[f3204,f1939,f1631,f1634,f3206]) ).
fof(f3210,plain,
( ! [X2,X3,X0,X1] :
( c_Public_Okeymode_OEncryption = X2
| c_Set_Oinsert(c_Public_Okeymode_OSignature,X0,X1) = X3
| c_Public_Okeymode_OEncryption = X3 )
| ~ spl16_88 ),
inference(forward_subsumption_resolution,[],[f1283,f1648]) ).
fof(f3212,definition,
( spl16_184
<=> ! [X0,X1,X3] :
( c_Set_Oinsert(c_Public_Okeymode_OSignature,X0,X1) = X3
| c_Public_Okeymode_OEncryption = X3 ) ),
introduced(definition,[new_symbols(definition,[spl16_184])],[avatar_definition]) ).
fof(f3213,plain,
( ! [X3,X0,X1] :
( c_Set_Oinsert(c_Public_Okeymode_OSignature,X0,X1) = X3
| c_Public_Okeymode_OEncryption = X3 )
| ~ spl16_184 ),
inference(avatar_component_clause,[],[f3212]) ).
fof(f3215,plain,
( spl16_184
| spl16_85
| ~ spl16_88 ),
inference(avatar_split_clause,[],[f3210,f1647,f1634,f3212]) ).
fof(f3216,plain,
( ! [X0,X1] :
( c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) = c_Public_Okeymode_OEncryption
| c_Public_Okeymode_OEncryption = X1 )
| ~ spl16_109 ),
inference(resolution,[],[f1956,f46]) ).
fof(f3288,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,X0,X1),c_Public_Okeymode_OSignature))
| hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,X0,X1),X4))
| c_Public_Okeymode_OEncryption = c_Set_Oinsert(c_Public_Okeymode_OEncryption,X2,X3) )
| ~ spl16_184 ),
inference(superposition,[],[f738,f3213]) ).
fof(f3299,plain,
( ! [X2,X3,X0,X1,X4] :
( hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,X0,X1),X4))
| c_Public_Okeymode_OEncryption = c_Set_Oinsert(c_Public_Okeymode_OEncryption,X2,X3) )
| ~ spl16_184 ),
inference(forward_subsumption_resolution,[],[f3288,f482]) ).
fof(f3319,definition,
( spl16_189
<=> ! [X4,X0,X1] : hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,X0,X1),X4)) ),
introduced(definition,[new_symbols(definition,[spl16_189])],[avatar_definition]) ).
fof(f3320,plain,
( ! [X0,X1,X4] : hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,X0,X1),X4))
| ~ spl16_189 ),
inference(avatar_component_clause,[],[f3319]) ).
fof(f3321,plain,
( spl16_48
| spl16_189
| ~ spl16_184 ),
inference(avatar_split_clause,[],[f3299,f3212,f3319,f1040]) ).
fof(f3326,plain,
! [X2,X3,X0,X1] :
( hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,X0,X1),X2))
| c_Public_Okeymode_OEncryption = X3
| ~ hBOOL(hAPP(X0,X3)) ),
inference(resolution,[],[f760,f436]) ).
fof(f3337,plain,
! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP(c_Public_Okeymode_OSignature,X2))
| hBOOL(hAPP(c_Public_Okeymode_OSignature,X3))
| c_Public_Okeymode_OEncryption = X2
| c_Public_Okeymode_OEncryption = c_Set_Oinsert(c_Public_Okeymode_OEncryption,X0,X1) ),
inference(superposition,[],[f760,f752]) ).
fof(f3346,plain,
( ! [X2,X3,X0,X1] :
( hBOOL(hAPP(c_Public_Okeymode_OSignature,X3))
| c_Public_Okeymode_OEncryption = X2
| c_Public_Okeymode_OEncryption = c_Set_Oinsert(c_Public_Okeymode_OEncryption,X0,X1) )
| ~ spl16_47 ),
inference(forward_subsumption_resolution,[],[f3337,f1037]) ).
fof(f3350,plain,
( ! [X2,X3,X0] :
( hBOOL(hAPP(c_Public_Okeymode_OEncryption,X2))
| c_Public_Okeymode_OEncryption = X3
| ~ hBOOL(hAPP(X0,X3)) )
| ~ spl16_48 ),
inference(forward_demodulation,[],[f3326,f1041]) ).
fof(f3351,plain,
( ! [X3,X0] :
( ~ hBOOL(hAPP(X0,X3))
| c_Public_Okeymode_OEncryption = X3 )
| ~ spl16_48
| ~ spl16_88 ),
inference(forward_subsumption_resolution,[],[f3350,f1648]) ).
fof(f3355,plain,
( ! [X0] :
( c_Public_Okeymode_OEncryption = X0
| c_Public_Okeymode_OEncryption = X0 )
| ~ spl16_48
| ~ spl16_88 ),
inference(resolution,[],[f3351,f747]) ).
fof(f3368,plain,
( ! [X0] : c_Public_Okeymode_OEncryption = X0
| ~ spl16_48
| ~ spl16_88 ),
inference(duplicate_literal_removal,[],[f3355]) ).
fof(f3373,plain,
( spl16_85
| ~ spl16_48
| ~ spl16_88 ),
inference(avatar_split_clause,[],[f3368,f1647,f1040,f1634]) ).
fof(f3375,plain,
( spl16_48
| spl16_85
| spl16_49
| ~ spl16_47 ),
inference(avatar_split_clause,[],[f3346,f1036,f1043,f1634,f1040]) ).
fof(f3414,plain,
( ! [X0,X1] :
( hBOOL(hAPP(X1,X0))
| c_Public_Okeymode_OSignature = X0 )
| ~ spl16_189 ),
inference(resolution,[],[f3320,f460]) ).
fof(f3442,plain,
( ! [X0] : c_Public_Okeymode_OSignature = X0
| ~ spl16_189 ),
inference(resolution,[],[f3414,f46]) ).
fof(f3525,plain,
( ! [X1] : ~ hBOOL(hAPP(c_Public_Okeymode_OSignature,X1))
| ~ spl16_189 ),
inference(superposition,[],[f46,f3442]) ).
fof(f3605,plain,
( $false
| ~ spl16_49
| ~ spl16_189 ),
inference(forward_subsumption_resolution,[],[f3525,f1044]) ).
fof(f3606,plain,
( ~ spl16_49
| ~ spl16_189 ),
inference(avatar_contradiction_clause,[],[f3605]) ).
fof(f3648,plain,
( spl16_85
| spl16_62
| ~ spl16_109 ),
inference(avatar_split_clause,[],[f3216,f1955,f1099,f1634]) ).
fof(f3685,plain,
( ! [X0,X1] :
( c_Public_Okeymode_OEncryption = X0
| X0 = X1 )
| ~ spl16_183 ),
inference(resolution,[],[f3207,f46]) ).
fof(f3707,definition,
( spl16_194
<=> ! [X0,X1] :
( c_Public_Okeymode_OEncryption = X0
| X0 = X1 ) ),
introduced(definition,[new_symbols(definition,[spl16_194])],[avatar_definition]) ).
fof(f3708,plain,
( ! [X0,X1] :
( c_Public_Okeymode_OEncryption = X0
| X0 = X1 )
| ~ spl16_194 ),
inference(avatar_component_clause,[],[f3707]) ).
fof(f3711,plain,
( spl16_194
| ~ spl16_183 ),
inference(avatar_split_clause,[],[f3685,f3206,f3707]) ).
fof(f3925,plain,
( ! [X0] :
( X0 != X0
| c_Public_Okeymode_OEncryption = X0 )
| ~ spl16_194 ),
inference(equality_factoring,[],[f3708]) ).
fof(f3926,plain,
( ! [X0] : c_Public_Okeymode_OEncryption = X0
| ~ spl16_194 ),
inference(trivial_inequality_removal,[],[f3925]) ).
fof(f3929,plain,
( spl16_85
| ~ spl16_194 ),
inference(avatar_split_clause,[],[f3926,f3707,f1634]) ).
cnf(s26,plain,
( spl16_46
| spl16_47 ),
inference(sat_conversion,[],[f1038]) ).
cnf(s74,plain,
( ~ spl16_46
| spl16_84
| spl16_85 ),
inference(sat_conversion,[],[f1687]) ).
cnf(s78,plain,
( ~ spl16_62
| spl16_85
| spl16_88 ),
inference(sat_conversion,[],[f1691]) ).
cnf(s145,plain,
( spl16_62
| spl16_107 ),
inference(sat_conversion,[],[f1941]) ).
cnf(s152,plain,
( spl16_46
| spl16_109 ),
inference(sat_conversion,[],[f1958]) ).
cnf(s218,plain,
( spl16_75
| ~ spl16_85 ),
inference(sat_conversion,[],[f2387]) ).
cnf(s221,plain,
( ~ spl16_75
| ~ spl16_85 ),
inference(sat_conversion,[],[f2395]) ).
cnf(s360,plain,
( spl16_85
| ~ spl16_84
| ~ spl16_62
| spl16_85 ),
inference(sat_conversion,[],[f3159]) ).
cnf(s361,plain,
( ~ spl16_62
| ~ spl16_84
| spl16_85 ),
inference(rat,[],[s360]) ).
cnf(s363,plain,
( ~ spl16_84
| spl16_85
| ~ spl16_107
| spl16_183 ),
inference(sat_conversion,[],[f3208]) ).
cnf(s365,plain,
( spl16_85
| ~ spl16_88
| spl16_184 ),
inference(sat_conversion,[],[f3215]) ).
cnf(s369,plain,
( spl16_48
| ~ spl16_184
| spl16_189 ),
inference(sat_conversion,[],[f3321]) ).
cnf(s374,plain,
( ~ spl16_48
| spl16_85
| ~ spl16_88 ),
inference(sat_conversion,[],[f3373]) ).
cnf(s377,plain,
( ~ spl16_47
| spl16_48
| spl16_49
| spl16_85 ),
inference(sat_conversion,[],[f3375]) ).
cnf(s383,plain,
( ~ spl16_49
| ~ spl16_189 ),
inference(sat_conversion,[],[f3606]) ).
cnf(s395,plain,
( spl16_62
| spl16_85
| ~ spl16_109 ),
inference(sat_conversion,[],[f3648]) ).
cnf(s411,plain,
( ~ spl16_183
| spl16_194 ),
inference(sat_conversion,[],[f3711]) ).
cnf(s413,plain,
( spl16_85
| ~ spl16_194 ),
inference(sat_conversion,[],[f3929]) ).
cnf(s439,plain,
~ spl16_85,
inference(rat,[],[s218,s221]) ).
cnf(s440,plain,
~ spl16_194,
inference(rat,[],[s413,s439]) ).
cnf(s441,plain,
~ spl16_183,
inference(rat,[],[s411,s440]) ).
cnf(s442,plain,
spl16_46,
inference(rat,[],[s383,s369,s377,s365,s374,s78,s395,s26,s152,s439]) ).
cnf(s444,plain,
spl16_84,
inference(rat,[],[s74,s439,s442]) ).
cnf(s446,plain,
~ spl16_107,
inference(rat,[],[s363,s441,s439,s444]) ).
cnf(s447,plain,
~ spl16_62,
inference(rat,[],[s361,s439,s444]) ).
cnf(s449,plain,
$false,
inference(rat,[],[s145,s446,s447]) ).
fof(f4122,plain,
$false,
inference(avatar_sat_refutation,[],[s449]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV730-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.17 % Computer : n018.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Mon Sep 28 12:24:55 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 Running first-order theorem proving
% 0.10/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.86/1.96 % (3341807)Input is clausal, will run a generic CNF schedule.
% 7.86/1.96 % (3341818)dis-21_1_sil=8000:lcm=predicate:random_seed=2726778481:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 7.86/1.96 % (3341818)Instruction limit reached!
% 7.86/1.96 % (3341818)------------------------------
% 7.86/1.96 % (3341818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.86/1.96 % (3341818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.86/1.96 % (3341817)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1375251010:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.86/1.96 % (3341818)CaDiCaL version: 2.1.3
% 7.86/1.96 % (3341812)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=144069989:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.86/1.96 % (3341813)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2860317820:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.86/1.96 % (3341816)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3314206500:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.86/1.96 % (3341814)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1596109453:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.86/1.96 % (3341818)Termination reason: Instruction limit
% 7.86/1.96 % (3341818)Termination phase: Saturation
% 7.86/1.96 % (3341818)Time elapsed: 0.040 s
% 7.86/1.96 % (3341815)lrs+10_1_sil=8000:sp=occurrence:random_seed=1508692437:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.86/1.96 % (3341818)Peak memory usage: 89 MB
% 7.86/1.96 % (3341818)Instructions burned: 120 (million)
% 7.86/1.96 % (3341815)Instruction limit reached!
% 7.86/1.96 % (3341815)------------------------------
% 7.86/1.96 % (3341815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.86/1.96 % (3341815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.86/1.96 % (3341815)CaDiCaL version: 2.1.3
% 7.86/1.96 % (3341815)Termination reason: Instruction limit
% 7.86/1.96 % (3341815)Termination phase: Saturation
% 7.86/1.96 % (3341815)Time elapsed: 0.075 s
% 7.86/1.96 % (3341815)Peak memory usage: 89 MB
% 7.86/1.96 % (3341815)Instructions burned: 108 (million)
% 7.86/1.96 % (3341816)Instruction limit reached!
% 7.86/1.96 % (3341816)------------------------------
% 7.86/1.96 % (3341816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.86/1.96 % (3341816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.86/1.96 % (3341816)CaDiCaL version: 2.1.3
% 7.86/1.96 % (3341816)Termination reason: Instruction limit
% 7.86/1.96 % (3341816)Termination phase: Saturation
% 7.86/1.96 % (3341816)Time elapsed: 0.081 s
% 7.86/1.96 % (3341816)Peak memory usage: 89 MB
% 7.86/1.96 % (3341816)Instructions burned: 116 (million)
% 7.86/1.96 % (3341817)Instruction limit reached!
% 7.86/1.96 % (3341817)------------------------------
% 7.86/1.96 % (3341817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.86/1.96 % (3341817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.86/1.96 % (3341817)CaDiCaL version: 2.1.3
% 7.86/1.96 % (3341817)Termination reason: Instruction limit
% 7.86/1.96 % (3341817)Termination phase: Saturation
% 7.86/1.96 % (3341817)Time elapsed: 0.118 s
% 7.86/1.96 % (3341817)Peak memory usage: 90 MB
% 7.86/1.96 % (3341817)Instructions burned: 180 (million)
% 7.86/1.96 % (3341826)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3933140629:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 7.86/1.96 % (3341826)Refutation not found, incomplete strategy
% 7.86/1.96 % (3341826)------------------------------
% 7.86/1.96 % (3341826)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.86/1.96 % (3341826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.86/1.96 % (3341826)CaDiCaL version: 2.1.3
% 7.86/1.96 % (3341826)Termination reason: Refutation not found, incomplete strategy
% 7.86/1.96 % (3341826)Time elapsed: 0.011 s
% 7.86/1.96 % (3341826)Peak memory usage: 89 MB
% 7.86/1.96 % (3341826)Instructions burned: 32 (million)
% 7.86/1.96 % (3341827)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=419164428:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 7.86/1.96 % (3341828)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=292299990:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 7.86/1.96 % (3341828)Refutation not found, incomplete strategy
% 7.86/1.96 % (3341828)------------------------------
% 7.86/1.96 % (3341828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.86/1.96 % (3341828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.86/1.96 % (3341828)CaDiCaL version: 2.1.3
% 7.86/1.96 % (3341828)Termination reason: Refutation not found, incomplete strategy
% 7.86/1.96 % (3341828)Time elapsed: 0.023 s
% 7.86/1.96 % (3341828)Peak memory usage: 89 MB
% 7.86/1.96 % (3341828)Instructions burned: 36 (million)
% 7.86/1.96 % (3341826)------------------------------
% 7.86/1.96 % (3341826)------------------------------
% 7.86/1.96 % (3341830)lrs+10_64_to=lpo:sil=8000:random_seed=3509773164:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 7.86/1.96 % (3341827)Instruction limit reached!
% 7.86/1.96 % (3341827)------------------------------
% 7.86/1.96 % (3341827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.86/1.96 % (3341827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.86/1.96 % (3341827)CaDiCaL version: 2.1.3
% 7.86/1.96 % (3341827)Termination reason: Instruction limit
% 7.86/1.96 % (3341827)Termination phase: Saturation
% 7.86/1.96 % (3341827)Time elapsed: 0.107 s
% 7.86/1.96 % (3341827)Peak memory usage: 90 MB
% 7.86/1.96 % (3341827)Instructions burned: 189 (million)
% 7.86/1.96 % (3341830)Instruction limit reached!
% 7.86/1.96 % (3341830)------------------------------
% 7.86/1.96 % (3341830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.86/1.96 % (3341830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.86/1.96 % (3341830)CaDiCaL version: 2.1.3
% 7.86/1.96 % (3341830)Termination reason: Instruction limit
% 7.86/1.96 % (3341830)Termination phase: Saturation
% 7.86/1.96 % (3341830)Time elapsed: 0.076 s
% 7.86/1.96 % (3341830)Peak memory usage: 90 MB
% 7.86/1.96 % (3341830)Instructions burned: 128 (million)
% 7.86/1.96 % (3341834)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2902361017:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 7.86/1.96 % (3341834)Instruction limit reached!
% 7.86/1.96 % (3341834)------------------------------
% 7.86/1.96 % (3341834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.86/1.96 % (3341834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.86/1.96 % (3341834)CaDiCaL version: 2.1.3
% 7.86/1.96 % (3341834)Termination reason: Instruction limit
% 7.86/1.96 % (3341834)Termination phase: Saturation
% 7.86/1.96 % (3341834)Time elapsed: 0.070 s
% 7.86/1.96 % (3341834)Peak memory usage: 90 MB
% 7.86/1.96 % (3341834)Instructions burned: 194 (million)
% 7.86/1.96 % (3341835)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1763634077:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 7.86/1.96 % (3341828)------------------------------
% 7.86/1.96 % (3341828)------------------------------
% 7.86/1.96 % (3341836)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=975300473:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 7.86/1.96 % (3341838)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=2196008978:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 7.86/1.96 % (3341835)Instruction limit reached!
% 7.86/1.96 % (3341835)------------------------------
% 7.86/1.96 % (3341835)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.86/1.96 % (3341835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.86/1.96 % (3341835)CaDiCaL version: 2.1.3
% 7.86/1.96 % (3341835)Termination reason: Instruction limit
% 7.86/1.96 % (3341835)Termination phase: Saturation
% 7.86/1.96 % (3341835)Time elapsed: 0.109 s
% 7.86/1.96 % (3341835)Peak memory usage: 91 MB
% 7.86/1.96 % (3341835)Instructions burned: 158 (million)
% 7.86/1.96 % (3341838)Instruction limit reached!
% 7.86/1.96 % (3341838)------------------------------
% 7.86/1.96 % (3341838)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.86/1.96 % (3341838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.86/1.96 % (3341838)CaDiCaL version: 2.1.3
% 7.86/1.96 % (3341838)Termination reason: Instruction limit
% 7.86/1.96 % (3341838)Termination phase: Saturation
% 7.86/1.96 % (3341838)Time elapsed: 0.033 s
% 7.86/1.96 % (3341838)Peak memory usage: 89 MB
% 7.86/1.96 % (3341838)Instructions burned: 111 (million)
% 7.86/1.96 % (3341841)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1024083663:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 7.86/1.96 % (3341841)Instruction limit reached!
% 7.86/1.96 % (3341841)------------------------------
% 7.86/1.96 % (3341841)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.86/1.96 % (3341841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.86/1.96 % (3341841)CaDiCaL version: 2.1.3
% 7.86/1.96 % (3341841)Termination reason: Instruction limit
% 7.86/1.96 % (3341841)Termination phase: Saturation
% 7.86/1.96 % (3341841)Time elapsed: 0.069 s
% 7.86/1.96 % (3341841)Peak memory usage: 90 MB
% 7.86/1.96 % (3341841)Instructions burned: 107 (million)
% 7.86/1.96 % (3341844)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2832623848:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 7.86/1.96 % (3341843)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3227085328:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 7.86/1.96 % (3341812)First to succeed.
% 7.86/1.96 % (3341812)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3341807"
% 7.86/1.96 % (3341843)Instruction limit reached!
% 7.86/1.96 % (3341843)------------------------------
% 7.86/1.96 % (3341843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.86/1.96 % (3341843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.86/1.96 % (3341843)CaDiCaL version: 2.1.3
% 7.86/1.96 % (3341843)Termination reason: Instruction limit
% 7.86/1.96 % (3341843)Termination phase: Saturation
% 7.86/1.96 % (3341843)Time elapsed: 0.159 s
% 7.86/1.96 % (3341843)Peak memory usage: 90 MB
% 7.86/1.96 % (3341843)Instructions burned: 243 (million)
% 7.86/1.96 % (3341846)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1666408098:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 7.86/1.96 % (3341846)Instruction limit reached!
% 7.86/1.96 % (3341846)------------------------------
% 7.86/1.96 % (3341846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.86/1.96 % (3341846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.86/1.96 % (3341846)CaDiCaL version: 2.1.3
% 7.86/1.96 % (3341846)Termination reason: Instruction limit
% 7.86/1.96 % (3341846)Termination phase: Saturation
% 7.86/1.96 % (3341846)Time elapsed: 0.091 s
% 7.86/1.96 % (3341846)Peak memory usage: 90 MB
% 7.86/1.96 % (3341846)Instructions burned: 134 (million)
% 7.86/1.96 % (3341850)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1907033449:i=499:bd=all_2988 on theBenchmark for (2988ds/499Mi)
% 7.86/1.96 % (3341812)Refutation found. Thanks to Tanya!
% 7.86/1.96 % SZS status Unsatisfiable for theBenchmark
% 7.86/1.96 % SZS output start Proof for theBenchmark
% See solution above
% 9.79/2.15 % (3341812)------------------------------
% 9.79/2.15 % (3341812)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.79/2.15 % (3341812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.79/2.15 % (3341812)CaDiCaL version: 2.1.3
% 9.79/2.15 % (3341812)Termination reason: Refutation
% 9.79/2.15 % (3341812)Time elapsed: 0.865 s
% 9.79/2.15 % (3341812)Peak memory usage: 136 MB
% 9.79/2.15 % (3341812)Instructions burned: 1362 (million)
% 9.79/2.15 % (3341812)------------------------------
% 9.79/2.15 % (3341812)------------------------------
% 9.79/2.15 % (3341807)Success in time 1.315 s
% 9.79/2.15 % Vampire exiting
%------------------------------------------------------------------------------