%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV757-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 01:19:26 PM UTC 2026
% Result : Unsatisfiable 6.89s 1.76s
% Output : Refutation 8.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 23
% Syntax : Number of formulae : 160 ( 21 unt; 18 def)
% Number of atoms : 479 ( 199 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 481 ( 162 ~; 301 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 19 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 257 ( 0 sgn 257 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f37,axiom,
! [X0,X1] :
( ~ hBOOL(hAPP(X0,c_Public_Okeymode_OEncryption))
| hBOOL(hAPP(X0,X1))
| ~ hBOOL(hAPP(X0,c_Public_Okeymode_OSignature)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_keymode_Oinduct_0) ).
fof(f197,axiom,
! [X0,X1] : ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bot1E_0) ).
fof(f378,axiom,
! [X2,X0,X1] : hBOOL(hAPP(c_Set_Oinsert(X0,X1,X2),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_1) ).
fof(f382,axiom,
! [X2,X3,X0,X1] :
( hBOOL(hAPP(X0,X1))
| X2 = X1
| ~ hBOOL(hAPP(c_Set_Oinsert(X2,X0,X3),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_0) ).
fof(f383,plain,
! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP(c_Set_Oinsert(X2,X0,X3),X1))
| X1 = X2
| hBOOL(hAPP(X0,X1)) ),
inference(reorient_equations,[],[f382]) ).
fof(f389,axiom,
! [X2,X3,X0,X1] :
( hBOOL(hAPP(c_Set_Oinsert(X0,X1,X2),X3))
| ~ hBOOL(hAPP(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_2) ).
fof(f786,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,[],[f378,f37]) ).
fof(f787,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,[],[f389,f786]) ).
fof(f794,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(X1,c_Public_Okeymode_OSignature))
| hBOOL(hAPP(X1,X0))
| c_Public_Okeymode_OEncryption = X0 ),
inference(resolution,[],[f383,f787]) ).
fof(f795,plain,
! [X2,X0,X1] :
( hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,X0,X1),X2))
| c_Public_Okeymode_OEncryption = X2 ),
inference(resolution,[],[f794,f378]) ).
fof(f798,plain,
! [X0,X1] :
( hBOOL(hAPP(X1,X0))
| c_Public_Okeymode_OSignature = X0
| c_Public_Okeymode_OEncryption = X0 ),
inference(resolution,[],[f795,f383]) ).
fof(f801,plain,
! [X0] :
( c_Public_Okeymode_OSignature = X0
| c_Public_Okeymode_OEncryption = X0 ),
inference(resolution,[],[f798,f197]) ).
fof(f806,plain,
! [X0,X1] :
( X0 = X1
| c_Public_Okeymode_OEncryption = X1
| c_Public_Okeymode_OEncryption = X0 ),
inference(superposition,[],[f801,f801]) ).
fof(f830,definition,
( spl30_6
<=> ! [X0,X1] : c_Public_Okeymode_OEncryption = c_Set_Oinsert(c_Public_Okeymode_OSignature,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl30_6])],[avatar_definition]) ).
fof(f831,plain,
( ! [X0,X1] : c_Public_Okeymode_OEncryption = c_Set_Oinsert(c_Public_Okeymode_OSignature,X0,X1)
| ~ spl30_6 ),
inference(avatar_component_clause,[],[f830]) ).
fof(f840,definition,
( spl30_9
<=> ! [X2] : hBOOL(hAPP(c_Public_Okeymode_OSignature,X2)) ),
introduced(definition,[new_symbols(definition,[spl30_9])],[avatar_definition]) ).
fof(f841,plain,
( ! [X2] : hBOOL(hAPP(c_Public_Okeymode_OSignature,X2))
| ~ spl30_9 ),
inference(avatar_component_clause,[],[f840]) ).
fof(f852,definition,
( spl30_12
<=> ! [X0] : c_Public_Okeymode_OEncryption = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) ),
introduced(definition,[new_symbols(definition,[spl30_12])],[avatar_definition]) ).
fof(f853,plain,
( ! [X0] : c_Public_Okeymode_OEncryption = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))
| ~ spl30_12 ),
inference(avatar_component_clause,[],[f852]) ).
fof(f909,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| X1 = X2
| X0 = X2
| X0 = X3
| c_Public_Okeymode_OEncryption = X3 ),
inference(superposition,[],[f806,f806]) ).
fof(f925,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(X0,X2))
| c_Public_Okeymode_OEncryption = X0
| c_Public_Okeymode_OEncryption = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
inference(superposition,[],[f197,f806]) ).
fof(f931,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,[],[f795,f806]) ).
fof(f978,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,[],[f795,f806]) ).
fof(f1024,definition,
( spl30_27
<=> ! [X2] : hBOOL(hAPP(c_Public_Okeymode_OEncryption,X2)) ),
introduced(definition,[new_symbols(definition,[spl30_27])],[avatar_definition]) ).
fof(f1025,plain,
( ! [X2] : hBOOL(hAPP(c_Public_Okeymode_OEncryption,X2))
| ~ spl30_27 ),
inference(avatar_component_clause,[],[f1024]) ).
fof(f1071,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 )
| ~ spl30_6 ),
inference(forward_demodulation,[],[f978,f831]) ).
fof(f1072,plain,
( ! [X2,X3] :
( c_Public_Okeymode_OEncryption = X3
| hBOOL(hAPP(c_Public_Okeymode_OEncryption,X2))
| c_Public_Okeymode_OEncryption = X2 )
| ~ spl30_6 ),
inference(duplicate_literal_removal,[],[f1071]) ).
fof(f1115,definition,
( spl30_40
<=> ! [X2] :
( hBOOL(hAPP(c_Public_Okeymode_OEncryption,X2))
| c_Public_Okeymode_OEncryption = X2 ) ),
introduced(definition,[new_symbols(definition,[spl30_40])],[avatar_definition]) ).
fof(f1116,plain,
( ! [X2] :
( hBOOL(hAPP(c_Public_Okeymode_OEncryption,X2))
| c_Public_Okeymode_OEncryption = X2 )
| ~ spl30_40 ),
inference(avatar_component_clause,[],[f1115]) ).
fof(f1118,definition,
( spl30_41
<=> ! [X3] : c_Public_Okeymode_OEncryption = X3 ),
introduced(definition,[new_symbols(definition,[spl30_41])],[avatar_definition]) ).
fof(f1119,plain,
( ! [X3] : c_Public_Okeymode_OEncryption = X3
| ~ spl30_41 ),
inference(avatar_component_clause,[],[f1118]) ).
fof(f1138,plain,
( spl30_40
| spl30_41
| ~ spl30_6 ),
inference(avatar_split_clause,[],[f1072,f830,f1118,f1115]) ).
fof(f1180,definition,
( spl30_51
<=> ! [X2,X0] :
( ~ hBOOL(hAPP(X0,X2))
| c_Public_Okeymode_OEncryption = X0 ) ),
introduced(definition,[new_symbols(definition,[spl30_51])],[avatar_definition]) ).
fof(f1181,plain,
( ! [X2,X0] :
( ~ hBOOL(hAPP(X0,X2))
| c_Public_Okeymode_OEncryption = X0 )
| ~ spl30_51 ),
inference(avatar_component_clause,[],[f1180]) ).
fof(f1183,plain,
( spl30_12
| spl30_51 ),
inference(avatar_split_clause,[],[f925,f1180,f852]) ).
fof(f1187,definition,
( spl30_52
<=> ! [X0,X3] :
( hBOOL(hAPP(X0,X3))
| c_Public_Okeymode_OEncryption = X0
| c_Public_Okeymode_OEncryption = X3 ) ),
introduced(definition,[new_symbols(definition,[spl30_52])],[avatar_definition]) ).
fof(f1188,plain,
( ! [X3,X0] :
( hBOOL(hAPP(X0,X3))
| c_Public_Okeymode_OEncryption = X0
| c_Public_Okeymode_OEncryption = X3 )
| ~ spl30_52 ),
inference(avatar_component_clause,[],[f1187]) ).
fof(f1190,plain,
( spl30_6
| spl30_52 ),
inference(avatar_split_clause,[],[f931,f1187,f830]) ).
fof(f1224,plain,
( ! [X1] : ~ hBOOL(hAPP(c_Public_Okeymode_OEncryption,X1))
| ~ spl30_41 ),
inference(superposition,[],[f197,f1119]) ).
fof(f1227,plain,
( ! [X0] : hBOOL(hAPP(c_Public_Okeymode_OEncryption,X0))
| ~ spl30_41 ),
inference(superposition,[],[f378,f1119]) ).
fof(f1233,plain,
( $false
| ~ spl30_27
| ~ spl30_41 ),
inference(forward_subsumption_resolution,[],[f1224,f1025]) ).
fof(f1234,plain,
( ~ spl30_27
| ~ spl30_41 ),
inference(avatar_contradiction_clause,[],[f1233]) ).
fof(f1244,plain,
( spl30_27
| ~ spl30_41 ),
inference(avatar_split_clause,[],[f1227,f1118,f1024]) ).
fof(f1313,plain,
( ! [X2,X0,X1] : c_Public_Okeymode_OEncryption = c_Set_Oinsert(X0,X1,X2)
| ~ spl30_51 ),
inference(resolution,[],[f1181,f378]) ).
fof(f1385,plain,
( ! [X3,X0] :
( c_Public_Okeymode_OEncryption = X0
| c_Public_Okeymode_OEncryption = X3 )
| ~ spl30_51
| ~ spl30_52 ),
inference(forward_subsumption_resolution,[],[f1188,f1181]) ).
fof(f1392,plain,
( spl30_41
| spl30_41
| ~ spl30_51
| ~ spl30_52 ),
inference(avatar_split_clause,[],[f1385,f1187,f1180,f1118,f1118]) ).
fof(f1405,plain,
( ! [X2,X0,X1] :
( hBOOL(hAPP(X0,X1))
| X0 = X1
| X0 = X2
| c_Public_Okeymode_OEncryption = X2 )
| ~ spl30_40 ),
inference(superposition,[],[f1116,f806]) ).
fof(f1416,plain,
( ! [X2,X3,X0,X1,X4] :
( c_Set_Oinsert(X0,X1,X2) = X3
| c_Set_Oinsert(X0,X1,X2) = X4
| c_Public_Okeymode_OEncryption = X4
| X0 = X3
| hBOOL(hAPP(X1,X3)) )
| ~ spl30_40 ),
inference(resolution,[],[f1405,f383]) ).
fof(f1425,plain,
( ! [X2,X3,X0,X1,X4] :
( c_Public_Okeymode_OEncryption = X3
| c_Set_Oinsert(X0,X1,X2) = X4
| c_Public_Okeymode_OEncryption = X4
| X0 = X3
| hBOOL(hAPP(X1,X3)) )
| ~ spl30_40
| ~ spl30_51 ),
inference(forward_demodulation,[],[f1416,f1313]) ).
fof(f1428,plain,
( ! [X3,X0,X1,X4] :
( c_Public_Okeymode_OEncryption = X4
| c_Public_Okeymode_OEncryption = X3
| c_Public_Okeymode_OEncryption = X4
| X0 = X3
| hBOOL(hAPP(X1,X3)) )
| ~ spl30_40
| ~ spl30_51 ),
inference(forward_demodulation,[],[f1425,f1313]) ).
fof(f1429,plain,
( ! [X3,X0,X1,X4] :
( c_Public_Okeymode_OEncryption = X4
| c_Public_Okeymode_OEncryption = X3
| X0 = X3
| hBOOL(hAPP(X1,X3)) )
| ~ spl30_40
| ~ spl30_51 ),
inference(duplicate_literal_removal,[],[f1428]) ).
fof(f1433,definition,
( spl30_59
<=> ! [X0,X1,X3] :
( c_Public_Okeymode_OEncryption = X3
| hBOOL(hAPP(X1,X3))
| X0 = X3 ) ),
introduced(definition,[new_symbols(definition,[spl30_59])],[avatar_definition]) ).
fof(f1434,plain,
( ! [X3,X0,X1] :
( hBOOL(hAPP(X1,X3))
| c_Public_Okeymode_OEncryption = X3
| X0 = X3 )
| ~ spl30_59 ),
inference(avatar_component_clause,[],[f1433]) ).
fof(f1435,plain,
( spl30_59
| spl30_41
| ~ spl30_40
| ~ spl30_51 ),
inference(avatar_split_clause,[],[f1429,f1180,f1115,f1118,f1433]) ).
fof(f1441,plain,
( ! [X0,X1] :
( c_Public_Okeymode_OEncryption = X0
| X0 = X1 )
| ~ spl30_59 ),
inference(resolution,[],[f1434,f197]) ).
fof(f1457,definition,
( spl30_60
<=> ! [X0,X1] :
( c_Public_Okeymode_OEncryption = X0
| X0 = X1 ) ),
introduced(definition,[new_symbols(definition,[spl30_60])],[avatar_definition]) ).
fof(f1458,plain,
( ! [X0,X1] :
( c_Public_Okeymode_OEncryption = X0
| X0 = X1 )
| ~ spl30_60 ),
inference(avatar_component_clause,[],[f1457]) ).
fof(f1461,plain,
( spl30_60
| ~ spl30_59 ),
inference(avatar_split_clause,[],[f1441,f1433,f1457]) ).
fof(f1467,definition,
( spl30_62
<=> ! [X0] : c_Public_Okeymode_OSignature = X0 ),
introduced(definition,[new_symbols(definition,[spl30_62])],[avatar_definition]) ).
fof(f1468,plain,
( ! [X0] : c_Public_Okeymode_OSignature = X0
| ~ spl30_62 ),
inference(avatar_component_clause,[],[f1467]) ).
fof(f1965,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| c_Public_Okeymode_OEncryption = X1
| X0 = X2
| c_Public_Okeymode_OSignature = X2
| X0 = X3
| c_Public_Okeymode_OEncryption = X3 ),
inference(superposition,[],[f801,f909]) ).
fof(f2104,plain,
! [X2,X0,X1] :
( c_Public_Okeymode_OEncryption != X1
| X1 = X2
| X0 = X2
| X0 = X2
| c_Public_Okeymode_OEncryption = X0 ),
inference(equality_factoring,[],[f909]) ).
fof(f2123,plain,
! [X2,X0,X1] :
( X1 != X1
| X1 = X2
| X0 = X2
| X0 = X1
| c_Public_Okeymode_OEncryption = X0 ),
inference(equality_factoring,[],[f909]) ).
fof(f2137,plain,
! [X2,X0,X1] :
( c_Public_Okeymode_OEncryption != X1
| X1 = X2
| X0 = X2
| X0 = X1
| X0 = X1 ),
inference(equality_factoring,[],[f909]) ).
fof(f2139,plain,
! [X2,X0,X1] :
( c_Public_Okeymode_OEncryption != X1
| X1 = X2
| X0 = X2
| X0 = X1 ),
inference(duplicate_literal_removal,[],[f2137]) ).
fof(f2144,plain,
! [X2,X0,X1] :
( X1 = X2
| X0 = X2
| X0 = X1
| c_Public_Okeymode_OEncryption = X0 ),
inference(trivial_inequality_removal,[],[f2123]) ).
fof(f2151,plain,
! [X2,X0,X1] :
( c_Public_Okeymode_OEncryption != X1
| X1 = X2
| X0 = X2
| c_Public_Okeymode_OEncryption = X0 ),
inference(duplicate_literal_removal,[],[f2104]) ).
fof(f2174,plain,
! [X2,X0,X1] :
( X1 = X2
| X0 = X2
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f2144,f2139]) ).
fof(f2259,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| X0 = X2
| c_Public_Okeymode_OSignature = X2
| X0 = X3
| c_Public_Okeymode_OEncryption = X3 ),
inference(forward_subsumption_resolution,[],[f1965,f2151]) ).
fof(f2635,plain,
! [X2,X0,X1] :
( X0 = X1
| c_Public_Okeymode_OEncryption = X1
| c_Public_Okeymode_OSignature = X2
| X0 = X2 ),
inference(superposition,[],[f801,f2174]) ).
fof(f3078,plain,
! [X2,X3,X0,X1,X4] :
( ~ hBOOL(hAPP(X0,X2))
| c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = X3
| c_Public_Okeymode_OSignature = X0
| c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = X4
| c_Public_Okeymode_OEncryption = X4 ),
inference(superposition,[],[f197,f2259]) ).
fof(f4242,definition,
( spl30_110
<=> ! [X0,X1,X3] :
( X0 = X3
| hBOOL(hAPP(X1,X3)) ) ),
introduced(definition,[new_symbols(definition,[spl30_110])],[avatar_definition]) ).
fof(f4243,plain,
( ! [X3,X0,X1] :
( hBOOL(hAPP(X1,X3))
| X0 = X3 )
| ~ spl30_110 ),
inference(avatar_component_clause,[],[f4242]) ).
fof(f4366,definition,
( spl30_124
<=> ! [X0,X1] :
( X0 != X1
| c_Public_Okeymode_OEncryption = X0
| c_Public_Okeymode_OSignature = X1 ) ),
introduced(definition,[new_symbols(definition,[spl30_124])],[avatar_definition]) ).
fof(f4367,plain,
( ! [X0,X1] :
( X0 != X1
| c_Public_Okeymode_OEncryption = X0
| c_Public_Okeymode_OSignature = X1 )
| ~ spl30_124 ),
inference(avatar_component_clause,[],[f4366]) ).
fof(f4674,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ hBOOL(hAPP(c_Public_Okeymode_OSignature,X3))
| X0 = X3
| hBOOL(hAPP(X1,X3))
| X4 = X5
| c_Public_Okeymode_OEncryption = X5
| c_Set_Oinsert(X0,X1,X2) = X4 ),
inference(superposition,[],[f383,f2635]) ).
fof(f4676,plain,
! [X2,X3,X0,X1,X4] :
( hBOOL(hAPP(c_Public_Okeymode_OSignature,X0))
| X3 = X4
| c_Public_Okeymode_OEncryption = X4
| c_Set_Oinsert(X0,X1,X2) = X3 ),
inference(superposition,[],[f378,f2635]) ).
fof(f4745,plain,
! [X0,X1] :
( X0 != X1
| c_Public_Okeymode_OEncryption = X0
| c_Public_Okeymode_OSignature = X1
| c_Public_Okeymode_OSignature = X1 ),
inference(equality_factoring,[],[f2635]) ).
fof(f4748,plain,
! [X2,X0,X1] :
( c_Public_Okeymode_OEncryption != X1
| c_Public_Okeymode_OEncryption = X0
| c_Public_Okeymode_OSignature = X2
| X1 = X2 ),
inference(equality_factoring,[],[f2635]) ).
fof(f4780,plain,
! [X0,X1] :
( X0 != X1
| c_Public_Okeymode_OEncryption = X0
| c_Public_Okeymode_OSignature = X1 ),
inference(duplicate_literal_removal,[],[f4745]) ).
fof(f5024,plain,
( ! [X0,X1] : X0 = X1
| ~ spl30_62 ),
inference(superposition,[],[f1468,f1468]) ).
fof(f5112,plain,
( ! [X0,X1] :
( c_Public_Okeymode_OEncryption = X0
| c_Public_Okeymode_OSignature = X1 )
| ~ spl30_60
| ~ spl30_124 ),
inference(forward_subsumption_resolution,[],[f4367,f1458]) ).
fof(f5394,definition,
( spl30_169
<=> ! [X2,X1] :
( c_Public_Okeymode_OSignature = X2
| X1 = X2 ) ),
introduced(definition,[new_symbols(definition,[spl30_169])],[avatar_definition]) ).
fof(f5395,plain,
( ! [X2,X1] :
( c_Public_Okeymode_OSignature = X2
| X1 = X2 )
| ~ spl30_169 ),
inference(avatar_component_clause,[],[f5394]) ).
fof(f5466,plain,
( spl30_62
| spl30_41
| ~ spl30_60
| ~ spl30_124 ),
inference(avatar_split_clause,[],[f5112,f4366,f1457,f1118,f1467]) ).
fof(f5509,definition,
( spl30_190
<=> ! [X2,X1] :
( c_Public_Okeymode_OEncryption != X1
| X1 = X2
| c_Public_Okeymode_OSignature = X2 ) ),
introduced(definition,[new_symbols(definition,[spl30_190])],[avatar_definition]) ).
fof(f5510,plain,
( ! [X2,X1] :
( c_Public_Okeymode_OEncryption != X1
| X1 = X2
| c_Public_Okeymode_OSignature = X2 )
| ~ spl30_190 ),
inference(avatar_component_clause,[],[f5509]) ).
fof(f5511,plain,
( spl30_41
| spl30_190 ),
inference(avatar_split_clause,[],[f4748,f5509,f1118]) ).
fof(f5513,plain,
spl30_124,
inference(avatar_split_clause,[],[f4780,f4366]) ).
fof(f5559,plain,
( ! [X2,X3,X0,X1,X4] :
( c_Public_Okeymode_OEncryption = X3
| ~ hBOOL(hAPP(X0,X2))
| c_Public_Okeymode_OSignature = X0
| c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = X4
| c_Public_Okeymode_OEncryption = X4 )
| ~ spl30_12 ),
inference(forward_demodulation,[],[f3078,f853]) ).
fof(f5580,definition,
( spl30_195
<=> ! [X2,X0] :
( ~ hBOOL(hAPP(X0,X2))
| c_Public_Okeymode_OSignature = X0 ) ),
introduced(definition,[new_symbols(definition,[spl30_195])],[avatar_definition]) ).
fof(f5581,plain,
( ! [X2,X0] :
( ~ hBOOL(hAPP(X0,X2))
| c_Public_Okeymode_OSignature = X0 )
| ~ spl30_195 ),
inference(avatar_component_clause,[],[f5580]) ).
fof(f5594,plain,
( ! [X2,X3,X0,X4] :
( c_Public_Okeymode_OEncryption = X4
| c_Public_Okeymode_OEncryption = X3
| ~ hBOOL(hAPP(X0,X2))
| c_Public_Okeymode_OSignature = X0
| c_Public_Okeymode_OEncryption = X4 )
| ~ spl30_12 ),
inference(forward_demodulation,[],[f5559,f853]) ).
fof(f5595,plain,
( ! [X2,X3,X0,X4] :
( c_Public_Okeymode_OEncryption = X4
| c_Public_Okeymode_OEncryption = X3
| ~ hBOOL(hAPP(X0,X2))
| c_Public_Okeymode_OSignature = X0 )
| ~ spl30_12 ),
inference(duplicate_literal_removal,[],[f5594]) ).
fof(f5603,plain,
( spl30_195
| spl30_41
| spl30_41
| ~ spl30_12 ),
inference(avatar_split_clause,[],[f5595,f852,f1118,f1118,f5580]) ).
fof(f6208,plain,
( ! [X2,X0,X1] : c_Public_Okeymode_OSignature = c_Set_Oinsert(X0,X1,X2)
| ~ spl30_195 ),
inference(resolution,[],[f5581,f378]) ).
fof(f6520,plain,
( ! [X3,X0,X4] :
( c_Public_Okeymode_OSignature = X3
| hBOOL(hAPP(c_Public_Okeymode_OSignature,X0))
| X3 = X4
| c_Public_Okeymode_OEncryption = X4 )
| ~ spl30_195 ),
inference(forward_demodulation,[],[f4676,f6208]) ).
fof(f6522,plain,
( ! [X3,X0,X1,X4,X5] :
( c_Public_Okeymode_OSignature = X4
| ~ hBOOL(hAPP(c_Public_Okeymode_OSignature,X3))
| X0 = X3
| hBOOL(hAPP(X1,X3))
| X4 = X5
| c_Public_Okeymode_OEncryption = X5 )
| ~ spl30_195 ),
inference(forward_demodulation,[],[f4674,f6208]) ).
fof(f6527,plain,
( ! [X3,X0,X4] :
( c_Public_Okeymode_OSignature = X3
| hBOOL(hAPP(c_Public_Okeymode_OSignature,X0))
| X3 = X4 )
| ~ spl30_190
| ~ spl30_195 ),
inference(forward_subsumption_resolution,[],[f6520,f5510]) ).
fof(f6529,plain,
( ! [X3,X0,X1,X4,X5] :
( c_Public_Okeymode_OSignature = X4
| ~ hBOOL(hAPP(c_Public_Okeymode_OSignature,X3))
| X0 = X3
| hBOOL(hAPP(X1,X3))
| X4 = X5 )
| ~ spl30_190
| ~ spl30_195 ),
inference(forward_subsumption_resolution,[],[f6522,f5510]) ).
fof(f6532,plain,
( spl30_9
| spl30_169
| ~ spl30_190
| ~ spl30_195 ),
inference(avatar_split_clause,[],[f6527,f5580,f5509,f5394,f840]) ).
fof(f6538,definition,
( spl30_209
<=> ! [X0,X1,X3] :
( ~ hBOOL(hAPP(c_Public_Okeymode_OSignature,X3))
| hBOOL(hAPP(X1,X3))
| X0 = X3 ) ),
introduced(definition,[new_symbols(definition,[spl30_209])],[avatar_definition]) ).
fof(f6539,plain,
( ! [X3,X0,X1] :
( ~ hBOOL(hAPP(c_Public_Okeymode_OSignature,X3))
| hBOOL(hAPP(X1,X3))
| X0 = X3 )
| ~ spl30_209 ),
inference(avatar_component_clause,[],[f6538]) ).
fof(f6540,plain,
( spl30_209
| spl30_169
| ~ spl30_190
| ~ spl30_195 ),
inference(avatar_split_clause,[],[f6529,f5580,f5509,f5394,f6538]) ).
fof(f6699,plain,
( ! [X0,X1] :
( c_Public_Okeymode_OSignature != X1
| X0 = X1 )
| ~ spl30_169 ),
inference(equality_factoring,[],[f5395]) ).
fof(f6712,plain,
( ! [X0,X1] : X0 = X1
| ~ spl30_169 ),
inference(forward_subsumption_resolution,[],[f6699,f5395]) ).
fof(f6778,plain,
( ! [X3,X0,X1] :
( hBOOL(hAPP(X1,X3))
| X0 = X3 )
| ~ spl30_9
| ~ spl30_209 ),
inference(forward_subsumption_resolution,[],[f6539,f841]) ).
fof(f6782,plain,
( spl30_110
| ~ spl30_9
| ~ spl30_209 ),
inference(avatar_split_clause,[],[f6778,f6538,f840,f4242]) ).
fof(f6954,plain,
( ! [X0,X1] : X0 = X1
| ~ spl30_110 ),
inference(resolution,[],[f4243,f197]) ).
fof(f7025,definition,
( spl30_221
<=> ! [X0,X1] : X0 = X1 ),
introduced(definition,[new_symbols(definition,[spl30_221])],[avatar_definition]) ).
fof(f7026,plain,
( ! [X0,X1] : X0 = X1
| ~ spl30_221 ),
inference(avatar_component_clause,[],[f7025]) ).
fof(f7028,plain,
( spl30_221
| ~ spl30_110 ),
inference(avatar_split_clause,[],[f6954,f4242,f7025]) ).
fof(f7124,plain,
( ! [X0] : ~ hBOOL(X0)
| ~ spl30_221 ),
inference(superposition,[],[f197,f7026]) ).
fof(f7130,plain,
( ! [X2,X0,X4] :
( hBOOL(X0)
| ~ hBOOL(hAPP(X2,X4)) )
| ~ spl30_221 ),
inference(superposition,[],[f389,f7026]) ).
fof(f7157,plain,
( ! [X0,X1] : hBOOL(hAPP(X0,X1))
| ~ spl30_221 ),
inference(superposition,[],[f378,f7026]) ).
fof(f7168,plain,
( ! [X0] : hBOOL(X0)
| ~ spl30_221 ),
inference(forward_subsumption_resolution,[],[f7130,f7157]) ).
fof(f7172,plain,
( $false
| ~ spl30_221 ),
inference(forward_subsumption_resolution,[],[f7168,f7124]) ).
fof(f7173,plain,
~ spl30_221,
inference(avatar_contradiction_clause,[],[f7172]) ).
fof(f7181,plain,
( spl30_221
| ~ spl30_62 ),
inference(avatar_split_clause,[],[f5024,f1467,f7025]) ).
fof(f7184,plain,
( spl30_221
| ~ spl30_169 ),
inference(avatar_split_clause,[],[f6712,f5394,f7025]) ).
cnf(s51,plain,
( ~ spl30_6
| spl30_40
| spl30_41 ),
inference(sat_conversion,[],[f1138]) ).
cnf(s71,plain,
( spl30_12
| spl30_51 ),
inference(sat_conversion,[],[f1183]) ).
cnf(s73,plain,
( spl30_6
| spl30_52 ),
inference(sat_conversion,[],[f1190]) ).
cnf(s75,plain,
( ~ spl30_27
| ~ spl30_41 ),
inference(sat_conversion,[],[f1234]) ).
cnf(s79,plain,
( spl30_27
| ~ spl30_41 ),
inference(sat_conversion,[],[f1244]) ).
cnf(s98,plain,
( spl30_41
| spl30_41
| ~ spl30_51
| ~ spl30_52 ),
inference(sat_conversion,[],[f1392]) ).
cnf(s99,plain,
( spl30_41
| ~ spl30_51
| ~ spl30_52 ),
inference(rat,[],[s98]) ).
cnf(s104,plain,
( ~ spl30_40
| spl30_41
| ~ spl30_51
| spl30_59 ),
inference(sat_conversion,[],[f1435]) ).
cnf(s107,plain,
( ~ spl30_59
| spl30_60 ),
inference(sat_conversion,[],[f1461]) ).
cnf(s318,plain,
( spl30_41
| ~ spl30_60
| spl30_62
| ~ spl30_124 ),
inference(sat_conversion,[],[f5466]) ).
cnf(s337,plain,
( spl30_41
| spl30_190 ),
inference(sat_conversion,[],[f5511]) ).
cnf(s338,plain,
spl30_124,
inference(sat_conversion,[],[f5513]) ).
cnf(s354,plain,
( spl30_41
| ~ spl30_12
| spl30_41
| spl30_195 ),
inference(sat_conversion,[],[f5603]) ).
cnf(s355,plain,
( ~ spl30_12
| spl30_41
| spl30_195 ),
inference(rat,[],[s354]) ).
cnf(s411,plain,
( spl30_9
| spl30_169
| ~ spl30_190
| ~ spl30_195 ),
inference(sat_conversion,[],[f6532]) ).
cnf(s413,plain,
( spl30_169
| ~ spl30_190
| ~ spl30_195
| spl30_209 ),
inference(sat_conversion,[],[f6540]) ).
cnf(s431,plain,
( ~ spl30_9
| spl30_110
| ~ spl30_209 ),
inference(sat_conversion,[],[f6782]) ).
cnf(s450,plain,
( ~ spl30_110
| spl30_221 ),
inference(sat_conversion,[],[f7028]) ).
cnf(s469,plain,
~ spl30_221,
inference(sat_conversion,[],[f7173]) ).
cnf(s470,plain,
( ~ spl30_62
| spl30_221 ),
inference(sat_conversion,[],[f7181]) ).
cnf(s472,plain,
( ~ spl30_169
| spl30_221 ),
inference(sat_conversion,[],[f7184]) ).
cnf(s474,plain,
~ spl30_169,
inference(rat,[],[s472,s469]) ).
cnf(s475,plain,
~ spl30_62,
inference(rat,[],[s470,s469]) ).
cnf(s478,plain,
~ spl30_110,
inference(rat,[],[s450,s469]) ).
cnf(s481,plain,
( ~ spl30_9
| ~ spl30_209 ),
inference(rat,[],[s431,s478]) ).
cnf(s485,plain,
( ~ spl30_190
| ~ spl30_195
| spl30_209 ),
inference(rat,[],[s413,s474]) ).
cnf(s487,plain,
( spl30_9
| ~ spl30_190
| ~ spl30_195 ),
inference(rat,[],[s411,s474]) ).
cnf(s498,plain,
( spl30_41
| ~ spl30_60 ),
inference(rat,[],[s318,s338,s475]) ).
cnf(s522,plain,
~ spl30_41,
inference(rat,[],[s75,s79]) ).
cnf(s524,plain,
spl30_190,
inference(rat,[],[s337,s522]) ).
cnf(s525,plain,
~ spl30_60,
inference(rat,[],[s498,s522]) ).
cnf(s528,plain,
~ spl30_59,
inference(rat,[],[s107,s525]) ).
cnf(s529,plain,
~ spl30_195,
inference(rat,[],[s481,s487,s485,s524]) ).
cnf(s530,plain,
~ spl30_12,
inference(rat,[],[s355,s522,s529]) ).
cnf(s531,plain,
spl30_51,
inference(rat,[],[s71,s530]) ).
cnf(s533,plain,
~ spl30_52,
inference(rat,[],[s99,s522,s531]) ).
cnf(s534,plain,
~ spl30_40,
inference(rat,[],[s104,s528,s522,s531]) ).
cnf(s538,plain,
spl30_6,
inference(rat,[],[s73,s533]) ).
cnf(s539,plain,
$false,
inference(rat,[],[s51,s522,s538,s534]) ).
fof(f7188,plain,
$false,
inference(avatar_sat_refutation,[],[s539]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV757-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.16 % Computer : n004.cluster.edu
% 0.06/0.16 % Model : x86_64 x86_64
% 0.06/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.16 % Memory : 8046.5625MB
% 0.06/0.16 % OS : Linux 6.8.0-71-generic
% 0.06/0.17 % CPULimit : 300
% 0.06/0.17 % WCLimit : 300
% 0.06/0.17 % DateTime : Mon Sep 28 12:27:07 UTC 2026
% 0.06/0.17 % CPUTime :
% 0.06/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.20 Running first-order theorem proving
% 0.06/0.20 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.89/1.76 % (318802)Input is clausal, will run a generic CNF schedule.
% 6.89/1.76 % (318807)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=3099920323:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.89/1.76 % (318811)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2025014880:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.89/1.76 % (318809)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3251928356:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.89/1.76 % (318808)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2169768865:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.89/1.76 % (318813)dis-21_1_sil=8000:lcm=predicate:random_seed=2626678636: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)
% 6.89/1.76 % (318810)lrs+10_1_sil=8000:sp=occurrence:random_seed=3849685034:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.89/1.76 % (318812)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3846613476:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.89/1.76 % (318813)Instruction limit reached!
% 6.89/1.76 % (318813)------------------------------
% 6.89/1.76 % (318813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.89/1.76 % (318813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/1.76 % (318813)CaDiCaL version: 2.1.3
% 6.89/1.76 % (318813)Termination reason: Instruction limit
% 6.89/1.76 % (318813)Termination phase: Saturation
% 6.89/1.76 % (318813)Time elapsed: 0.058 s
% 6.89/1.76 % (318813)Peak memory usage: 89 MB
% 6.89/1.76 % (318813)Instructions burned: 119 (million)
% 6.89/1.76 % (318810)Instruction limit reached!
% 6.89/1.76 % (318810)------------------------------
% 6.89/1.76 % (318810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.89/1.76 % (318810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/1.76 % (318810)CaDiCaL version: 2.1.3
% 6.89/1.76 % (318810)Termination reason: Instruction limit
% 6.89/1.76 % (318810)Termination phase: Saturation
% 6.89/1.76 % (318810)Time elapsed: 0.069 s
% 6.89/1.76 % (318810)Peak memory usage: 89 MB
% 6.89/1.76 % (318810)Instructions burned: 107 (million)
% 6.89/1.76 % (318811)Instruction limit reached!
% 6.89/1.76 % (318811)------------------------------
% 6.89/1.76 % (318811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.89/1.76 % (318811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/1.76 % (318811)CaDiCaL version: 2.1.3
% 6.89/1.76 % (318811)Termination reason: Instruction limit
% 6.89/1.76 % (318811)Termination phase: Saturation
% 6.89/1.76 % (318811)Time elapsed: 0.074 s
% 6.89/1.76 % (318811)Peak memory usage: 89 MB
% 6.89/1.76 % (318811)Instructions burned: 115 (million)
% 6.89/1.76 % (318812)Instruction limit reached!
% 6.89/1.76 % (318812)------------------------------
% 6.89/1.76 % (318812)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.89/1.76 % (318812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/1.76 % (318812)CaDiCaL version: 2.1.3
% 6.89/1.76 % (318812)Termination reason: Instruction limit
% 6.89/1.76 % (318812)Termination phase: Saturation
% 6.89/1.76 % (318812)Time elapsed: 0.117 s
% 6.89/1.76 % (318812)Peak memory usage: 90 MB
% 6.89/1.76 % (318812)Instructions burned: 180 (million)
% 6.89/1.76 % (318822)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3656498730: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)
% 6.89/1.76 % (318823)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=172241903:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.89/1.76 % (318821)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=2526305966:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.89/1.76 % (318824)lrs+10_64_to=lpo:sil=8000:random_seed=3284353135:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 6.89/1.76 % (318821)Instruction limit reached!
% 6.89/1.76 % (318821)------------------------------
% 6.89/1.76 % (318821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.89/1.76 % (318821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/1.76 % (318821)CaDiCaL version: 2.1.3
% 6.89/1.76 % (318821)Termination reason: Instruction limit
% 6.89/1.76 % (318821)Termination phase: Saturation
% 6.89/1.76 % (318821)Time elapsed: 0.088 s
% 6.89/1.76 % (318821)Peak memory usage: 90 MB
% 6.89/1.76 % (318821)Instructions burned: 145 (million)
% 6.89/1.76 % (318822)Instruction limit reached!
% 6.89/1.76 % (318822)------------------------------
% 6.89/1.76 % (318822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.89/1.76 % (318822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/1.76 % (318822)CaDiCaL version: 2.1.3
% 6.89/1.76 % (318822)Termination reason: Instruction limit
% 6.89/1.76 % (318822)Termination phase: Saturation
% 6.89/1.76 % (318822)Time elapsed: 0.102 s
% 6.89/1.76 % (318822)Peak memory usage: 91 MB
% 6.89/1.76 % (318822)Instructions burned: 191 (million)
% 6.89/1.76 % (318823)Instruction limit reached!
% 6.89/1.76 % (318823)------------------------------
% 6.89/1.76 % (318823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.89/1.76 % (318823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/1.76 % (318823)CaDiCaL version: 2.1.3
% 6.89/1.76 % (318823)Termination reason: Instruction limit
% 6.89/1.76 % (318823)Termination phase: Saturation
% 6.89/1.76 % (318823)Time elapsed: 0.125 s
% 6.89/1.76 % (318823)Peak memory usage: 91 MB
% 6.89/1.76 % (318823)Instructions burned: 219 (million)
% 6.89/1.76 % (318824)Instruction limit reached!
% 6.89/1.76 % (318824)------------------------------
% 6.89/1.76 % (318824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.89/1.76 % (318824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/1.76 % (318824)CaDiCaL version: 2.1.3
% 6.89/1.76 % (318824)Termination reason: Instruction limit
% 6.89/1.76 % (318824)Termination phase: Saturation
% 6.89/1.76 % (318824)Time elapsed: 0.080 s
% 6.89/1.76 % (318824)Peak memory usage: 90 MB
% 6.89/1.76 % (318824)Instructions burned: 127 (million)
% 6.89/1.76 % (318829)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1054205938:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 6.89/1.76 % (318830)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2511631512:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 6.89/1.76 % (318832)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=3641756587:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 6.89/1.76 % (318831)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3893266129:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 6.89/1.76 % (318829)Instruction limit reached!
% 6.89/1.76 % (318829)------------------------------
% 6.89/1.76 % (318829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.89/1.76 % (318829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/1.76 % (318829)CaDiCaL version: 2.1.3
% 6.89/1.76 % (318829)Termination reason: Instruction limit
% 6.89/1.76 % (318829)Termination phase: Saturation
% 6.89/1.76 % (318829)Time elapsed: 0.108 s
% 6.89/1.76 % (318829)Peak memory usage: 91 MB
% 6.89/1.76 % (318829)Instructions burned: 194 (million)
% 6.89/1.76 % (318832)Instruction limit reached!
% 6.89/1.76 % (318832)------------------------------
% 6.89/1.76 % (318832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.89/1.76 % (318832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/1.76 % (318832)CaDiCaL version: 2.1.3
% 6.89/1.76 % (318832)Termination reason: Instruction limit
% 6.89/1.76 % (318832)Termination phase: Saturation
% 6.89/1.76 % (318832)Time elapsed: 0.059 s
% 6.89/1.76 % (318832)Peak memory usage: 89 MB
% 6.89/1.76 % (318832)Instructions burned: 107 (million)
% 6.89/1.76 % (318830)Instruction limit reached!
% 6.89/1.76 % (318830)------------------------------
% 6.89/1.76 % (318830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.89/1.76 % (318830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/1.76 % (318830)CaDiCaL version: 2.1.3
% 6.89/1.76 % (318830)Termination reason: Instruction limit
% 6.89/1.76 % (318830)Termination phase: Saturation
% 6.89/1.76 % (318830)Time elapsed: 0.103 s
% 6.89/1.76 % (318830)Peak memory usage: 91 MB
% 6.89/1.76 % (318830)Instructions burned: 157 (million)
% 6.89/1.76 % (318838)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=351519553:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 6.89/1.76 % (318837)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=359747080:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 6.89/1.76 % (318839)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=825412705:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 6.89/1.76 % (318807)First to succeed.
% 6.89/1.76 % (318807)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-318802"
% 6.89/1.76 % (318837)Instruction limit reached!
% 6.89/1.76 % (318837)------------------------------
% 6.89/1.76 % (318837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.89/1.76 % (318837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/1.76 % (318837)CaDiCaL version: 2.1.3
% 6.89/1.76 % (318837)Termination reason: Instruction limit
% 6.89/1.76 % (318837)Termination phase: Saturation
% 6.89/1.76 % (318837)Time elapsed: 0.063 s
% 6.89/1.76 % (318837)Peak memory usage: 90 MB
% 6.89/1.76 % (318837)Instructions burned: 109 (million)
% 6.89/1.76 % (318838)Instruction limit reached!
% 6.89/1.76 % (318838)------------------------------
% 6.89/1.76 % (318838)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.89/1.76 % (318838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/1.76 % (318838)CaDiCaL version: 2.1.3
% 6.89/1.76 % (318838)Termination reason: Instruction limit
% 6.89/1.76 % (318838)Termination phase: Saturation
% 6.89/1.76 % (318838)Time elapsed: 0.150 s
% 6.89/1.76 % (318838)Peak memory usage: 90 MB
% 6.89/1.76 % (318838)Instructions burned: 243 (million)
% 6.89/1.76 % (318807)Refutation found. Thanks to Tanya!
% 6.89/1.76 % SZS status Unsatisfiable for theBenchmark
% 6.89/1.76 % SZS output start Proof for theBenchmark
% See solution above
% 8.35/1.95 % (318807)------------------------------
% 8.35/1.95 % (318807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.35/1.95 % (318807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.35/1.95 % (318807)CaDiCaL version: 2.1.3
% 8.35/1.95 % (318807)Termination reason: Refutation
% 8.35/1.95 % (318807)Time elapsed: 0.790 s
% 8.35/1.95 % (318807)Peak memory usage: 137 MB
% 8.35/1.95 % (318807)Instructions burned: 2674 (million)
% 8.35/1.95 % (318807)------------------------------
% 8.35/1.95 % (318807)------------------------------
% 8.35/1.95 % (318802)Success in time 1.119 s
% 8.35/1.95 % Vampire exiting
%------------------------------------------------------------------------------