TSTP Solution File: SWW948+1 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW948+1 : TPTP v8.2.0. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 18:47:11 EDT 2024
% Result : Theorem 0.20s 0.43s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 45
% Syntax : Number of formulae : 163 ( 37 unt; 0 def)
% Number of atoms : 367 ( 26 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 373 ( 169 ~; 155 |; 4 &)
% ( 29 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 32 ( 30 usr; 30 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 130 ( 130 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1261,plain,
$false,
inference(avatar_sat_refutation,[],[f263,f276,f335,f339,f403,f453,f497,f501,f505,f513,f521,f534,f728,f732,f736,f744,f754,f773,f778,f788,f795,f804,f825,f830,f839,f950,f1037,f1234,f1256,f1260]) ).
fof(f1260,plain,
( ~ spl0_50
| ~ spl0_109
| ~ spl0_112
| spl0_160 ),
inference(avatar_contradiction_clause,[],[f1259]) ).
fof(f1259,plain,
( $false
| ~ spl0_50
| ~ spl0_109
| ~ spl0_112
| spl0_160 ),
inference(subsumption_resolution,[],[f1258,f794]) ).
fof(f794,plain,
( pred_attacker(name_r0x30_from_1st)
| ~ spl0_109 ),
inference(avatar_component_clause,[],[f792]) ).
fof(f792,plain,
( spl0_109
<=> pred_attacker(name_r0x30_from_1st) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f1258,plain,
( ~ pred_attacker(name_r0x30_from_1st)
| ~ spl0_50
| ~ spl0_112
| spl0_160 ),
inference(subsumption_resolution,[],[f1257,f829]) ).
fof(f829,plain,
( pred_attacker(name_r1_from_1st)
| ~ spl0_112 ),
inference(avatar_component_clause,[],[f827]) ).
fof(f827,plain,
( spl0_112
<=> pred_attacker(name_r1_from_1st) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f1257,plain,
( ~ pred_attacker(name_r1_from_1st)
| ~ pred_attacker(name_r0x30_from_1st)
| ~ spl0_50
| spl0_160 ),
inference(resolution,[],[f1255,f500]) ).
fof(f500,plain,
( ! [X0,X1] :
( pred_attacker(constr_xor(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) )
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f499,plain,
( spl0_50
<=> ! [X0,X1] :
( pred_attacker(constr_xor(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f1255,plain,
( ~ pred_attacker(constr_xor(name_r0x30_from_1st,name_r1_from_1st))
| spl0_160 ),
inference(avatar_component_clause,[],[f1253]) ).
fof(f1253,plain,
( spl0_160
<=> pred_attacker(constr_xor(name_r0x30_from_1st,name_r1_from_1st)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
fof(f1256,plain,
( ~ spl0_160
| ~ spl0_50
| ~ spl0_108
| spl0_156 ),
inference(avatar_split_clause,[],[f1251,f1231,f785,f499,f1253]) ).
fof(f785,plain,
( spl0_108
<=> pred_attacker(name_r0x30) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f1231,plain,
( spl0_156
<=> pred_attacker(constr_xor(name_r0x30,constr_xor(name_r0x30_from_1st,name_r1_from_1st))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f1251,plain,
( ~ pred_attacker(constr_xor(name_r0x30_from_1st,name_r1_from_1st))
| ~ spl0_50
| ~ spl0_108
| spl0_156 ),
inference(subsumption_resolution,[],[f1250,f787]) ).
fof(f787,plain,
( pred_attacker(name_r0x30)
| ~ spl0_108 ),
inference(avatar_component_clause,[],[f785]) ).
fof(f1250,plain,
( ~ pred_attacker(constr_xor(name_r0x30_from_1st,name_r1_from_1st))
| ~ pred_attacker(name_r0x30)
| ~ spl0_50
| spl0_156 ),
inference(resolution,[],[f1233,f500]) ).
fof(f1233,plain,
( ~ pred_attacker(constr_xor(name_r0x30,constr_xor(name_r0x30_from_1st,name_r1_from_1st)))
| spl0_156 ),
inference(avatar_component_clause,[],[f1231]) ).
fof(f1234,plain,
( ~ spl0_156
| ~ spl0_111
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f1222,f1035,f822,f1231]) ).
fof(f822,plain,
( spl0_111
<=> pred_attacker(constr_h(constr_xor(name_k,constr_xor(name_r0x30_from_1st,name_r1_from_1st)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f1035,plain,
( spl0_138
<=> ! [X0] :
( ~ pred_attacker(constr_h(constr_xor(name_k,X0)))
| ~ pred_attacker(constr_xor(name_r0x30,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f1222,plain,
( ~ pred_attacker(constr_xor(name_r0x30,constr_xor(name_r0x30_from_1st,name_r1_from_1st)))
| ~ spl0_111
| ~ spl0_138 ),
inference(resolution,[],[f1036,f824]) ).
fof(f824,plain,
( pred_attacker(constr_h(constr_xor(name_k,constr_xor(name_r0x30_from_1st,name_r1_from_1st))))
| ~ spl0_111 ),
inference(avatar_component_clause,[],[f822]) ).
fof(f1036,plain,
( ! [X0] :
( ~ pred_attacker(constr_h(constr_xor(name_k,X0)))
| ~ pred_attacker(constr_xor(name_r0x30,X0)) )
| ~ spl0_138 ),
inference(avatar_component_clause,[],[f1035]) ).
fof(f1037,plain,
( spl0_138
| ~ spl0_113
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f1003,f948,f837,f1035]) ).
fof(f837,plain,
( spl0_113
<=> ! [X0] :
( ~ pred_attacker(constr_h(constr_xor(name_k,constr_xor(name_r0x30,X0))))
| ~ pred_attacker(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f948,plain,
( spl0_124
<=> ! [X0,X1] : constr_xor(X0,constr_xor(X0,X1)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f1003,plain,
( ! [X0] :
( ~ pred_attacker(constr_h(constr_xor(name_k,X0)))
| ~ pred_attacker(constr_xor(name_r0x30,X0)) )
| ~ spl0_113
| ~ spl0_124 ),
inference(superposition,[],[f838,f949]) ).
fof(f949,plain,
( ! [X0,X1] : constr_xor(X0,constr_xor(X0,X1)) = X1
| ~ spl0_124 ),
inference(avatar_component_clause,[],[f948]) ).
fof(f838,plain,
( ! [X0] :
( ~ pred_attacker(constr_h(constr_xor(name_k,constr_xor(name_r0x30,X0))))
| ~ pred_attacker(X0) )
| ~ spl0_113 ),
inference(avatar_component_clause,[],[f837]) ).
fof(f950,plain,
( spl0_124
| ~ spl0_17
| ~ spl0_49
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f946,f802,f495,f337,f948]) ).
fof(f337,plain,
( spl0_17
<=> ! [X0] : constr_ZERO = constr_xor(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f495,plain,
( spl0_49
<=> ! [X2,X0,X1] : constr_xor(X0,constr_xor(X1,X2)) = constr_xor(constr_xor(X0,X1),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f802,plain,
( spl0_110
<=> ! [X0] : constr_xor(constr_ZERO,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f946,plain,
( ! [X0,X1] : constr_xor(X0,constr_xor(X0,X1)) = X1
| ~ spl0_17
| ~ spl0_49
| ~ spl0_110 ),
inference(forward_demodulation,[],[f929,f803]) ).
fof(f803,plain,
( ! [X0] : constr_xor(constr_ZERO,X0) = X0
| ~ spl0_110 ),
inference(avatar_component_clause,[],[f802]) ).
fof(f929,plain,
( ! [X0,X1] : constr_xor(constr_ZERO,X1) = constr_xor(X0,constr_xor(X0,X1))
| ~ spl0_17
| ~ spl0_49 ),
inference(superposition,[],[f496,f338]) ).
fof(f338,plain,
( ! [X0] : constr_ZERO = constr_xor(X0,X0)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f496,plain,
( ! [X2,X0,X1] : constr_xor(X0,constr_xor(X1,X2)) = constr_xor(constr_xor(X0,X1),X2)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f839,plain,
( spl0_113
| ~ spl0_55
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f831,f776,f519,f837]) ).
fof(f519,plain,
( spl0_55
<=> ! [X0,X1] :
( pred_attacker(tuple_R_in_2(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f776,plain,
( spl0_107
<=> ! [X0] : ~ pred_attacker(tuple_R_in_2(X0,constr_h(constr_xor(name_k,constr_xor(name_r0x30,X0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f831,plain,
( ! [X0] :
( ~ pred_attacker(constr_h(constr_xor(name_k,constr_xor(name_r0x30,X0))))
| ~ pred_attacker(X0) )
| ~ spl0_55
| ~ spl0_107 ),
inference(resolution,[],[f777,f520]) ).
fof(f520,plain,
( ! [X0,X1] :
( pred_attacker(tuple_R_in_2(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) )
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f777,plain,
( ! [X0] : ~ pred_attacker(tuple_R_in_2(X0,constr_h(constr_xor(name_k,constr_xor(name_r0x30,X0)))))
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f776]) ).
fof(f830,plain,
( spl0_112
| ~ spl0_98
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f820,f751,f726,f827]) ).
fof(f726,plain,
( spl0_98
<=> ! [X0,X1] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_knowledge_from_1st_round_out_2(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f751,plain,
( spl0_104
<=> pred_attacker(tuple_knowledge_from_1st_round_out_2(name_r1_from_1st,constr_h(constr_xor(name_k,constr_xor(name_r0x30_from_1st,name_r1_from_1st))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f820,plain,
( pred_attacker(name_r1_from_1st)
| ~ spl0_98
| ~ spl0_104 ),
inference(resolution,[],[f753,f727]) ).
fof(f727,plain,
( ! [X0,X1] :
( ~ pred_attacker(tuple_knowledge_from_1st_round_out_2(X0,X1))
| pred_attacker(X0) )
| ~ spl0_98 ),
inference(avatar_component_clause,[],[f726]) ).
fof(f753,plain,
( pred_attacker(tuple_knowledge_from_1st_round_out_2(name_r1_from_1st,constr_h(constr_xor(name_k,constr_xor(name_r0x30_from_1st,name_r1_from_1st)))))
| ~ spl0_104 ),
inference(avatar_component_clause,[],[f751]) ).
fof(f825,plain,
( spl0_111
| ~ spl0_99
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f819,f751,f730,f822]) ).
fof(f730,plain,
( spl0_99
<=> ! [X0,X1] :
( pred_attacker(X1)
| ~ pred_attacker(tuple_knowledge_from_1st_round_out_2(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f819,plain,
( pred_attacker(constr_h(constr_xor(name_k,constr_xor(name_r0x30_from_1st,name_r1_from_1st))))
| ~ spl0_99
| ~ spl0_104 ),
inference(resolution,[],[f753,f731]) ).
fof(f731,plain,
( ! [X0,X1] :
( ~ pred_attacker(tuple_knowledge_from_1st_round_out_2(X0,X1))
| pred_attacker(X1) )
| ~ spl0_99 ),
inference(avatar_component_clause,[],[f730]) ).
fof(f804,plain,
( spl0_110
| ~ spl0_16
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f797,f503,f333,f802]) ).
fof(f333,plain,
( spl0_16
<=> ! [X0] : constr_xor(X0,constr_ZERO) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f503,plain,
( spl0_51
<=> ! [X0,X1] : constr_xor(X0,X1) = constr_xor(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f797,plain,
( ! [X0] : constr_xor(constr_ZERO,X0) = X0
| ~ spl0_16
| ~ spl0_51 ),
inference(superposition,[],[f504,f334]) ).
fof(f334,plain,
( ! [X0] : constr_xor(X0,constr_ZERO) = X0
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f333]) ).
fof(f504,plain,
( ! [X0,X1] : constr_xor(X0,X1) = constr_xor(X1,X0)
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f795,plain,
( spl0_109
| ~ spl0_58
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f790,f742,f531,f792]) ).
fof(f531,plain,
( spl0_58
<=> pred_attacker(tuple_knowledge_from_1st_round_out_1(name_r0x30_from_1st)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f742,plain,
( spl0_102
<=> ! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_knowledge_from_1st_round_out_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f790,plain,
( pred_attacker(name_r0x30_from_1st)
| ~ spl0_58
| ~ spl0_102 ),
inference(resolution,[],[f743,f533]) ).
fof(f533,plain,
( pred_attacker(tuple_knowledge_from_1st_round_out_1(name_r0x30_from_1st))
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f531]) ).
fof(f743,plain,
( ! [X0] :
( ~ pred_attacker(tuple_knowledge_from_1st_round_out_1(X0))
| pred_attacker(X0) )
| ~ spl0_102 ),
inference(avatar_component_clause,[],[f742]) ).
fof(f788,plain,
( spl0_108
| ~ spl0_40
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f783,f734,f450,f785]) ).
fof(f450,plain,
( spl0_40
<=> pred_attacker(tuple_R_out_1(name_r0x30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f734,plain,
( spl0_100
<=> ! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_R_out_1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f783,plain,
( pred_attacker(name_r0x30)
| ~ spl0_40
| ~ spl0_100 ),
inference(resolution,[],[f735,f452]) ).
fof(f452,plain,
( pred_attacker(tuple_R_out_1(name_r0x30))
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f735,plain,
( ! [X0] :
( ~ pred_attacker(tuple_R_out_1(X0))
| pred_attacker(X0) )
| ~ spl0_100 ),
inference(avatar_component_clause,[],[f734]) ).
fof(f778,plain,
( spl0_107
| ~ spl0_3
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f774,f503,f270,f776]) ).
fof(f270,plain,
( spl0_3
<=> ! [X0] : ~ pred_attacker(tuple_R_in_2(X0,constr_h(constr_xor(constr_xor(name_r0x30,X0),name_k)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f774,plain,
( ! [X0] : ~ pred_attacker(tuple_R_in_2(X0,constr_h(constr_xor(name_k,constr_xor(name_r0x30,X0)))))
| ~ spl0_3
| ~ spl0_51 ),
inference(forward_demodulation,[],[f271,f504]) ).
fof(f271,plain,
( ! [X0] : ~ pred_attacker(tuple_R_in_2(X0,constr_h(constr_xor(constr_xor(name_r0x30,X0),name_k))))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f773,plain,
( spl0_1
| ~ spl0_4
| ~ spl0_53 ),
inference(avatar_contradiction_clause,[],[f772]) ).
fof(f772,plain,
( $false
| spl0_1
| ~ spl0_4
| ~ spl0_53 ),
inference(subsumption_resolution,[],[f771,f262]) ).
fof(f262,plain,
( ~ pred_attacker(name_objective_R)
| spl0_1 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f260,plain,
( spl0_1
<=> pred_attacker(name_objective_R) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f771,plain,
( pred_attacker(name_objective_R)
| ~ spl0_4
| ~ spl0_53 ),
inference(resolution,[],[f512,f275]) ).
fof(f275,plain,
( pred_attacker(tuple_R_out_4(name_objective_R))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f273,plain,
( spl0_4
<=> pred_attacker(tuple_R_out_4(name_objective_R)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f512,plain,
( ! [X0] :
( ~ pred_attacker(tuple_R_out_4(X0))
| pred_attacker(X0) )
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f511,plain,
( spl0_53
<=> ! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_R_out_4(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f754,plain,
( spl0_104
| ~ spl0_30
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f749,f503,f400,f751]) ).
fof(f400,plain,
( spl0_30
<=> pred_attacker(tuple_knowledge_from_1st_round_out_2(name_r1_from_1st,constr_h(constr_xor(constr_xor(name_r0x30_from_1st,name_r1_from_1st),name_k)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f749,plain,
( pred_attacker(tuple_knowledge_from_1st_round_out_2(name_r1_from_1st,constr_h(constr_xor(name_k,constr_xor(name_r0x30_from_1st,name_r1_from_1st)))))
| ~ spl0_30
| ~ spl0_51 ),
inference(forward_demodulation,[],[f402,f504]) ).
fof(f402,plain,
( pred_attacker(tuple_knowledge_from_1st_round_out_2(name_r1_from_1st,constr_h(constr_xor(constr_xor(name_r0x30_from_1st,name_r1_from_1st),name_k))))
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f744,plain,
spl0_102,
inference(avatar_split_clause,[],[f257,f742]) ).
fof(f257,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_knowledge_from_1st_round_out_1(X0)) ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_knowledge_from_1st_round_out_1(X0)) ),
inference(ennf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0] :
( pred_attacker(tuple_knowledge_from_1st_round_out_1(X0))
=> pred_attacker(X0) ),
inference(rectify,[],[f79]) ).
fof(f79,axiom,
! [X18] :
( pred_attacker(tuple_knowledge_from_1st_round_out_1(X18))
=> pred_attacker(X18) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f736,plain,
spl0_100,
inference(avatar_split_clause,[],[f255,f734]) ).
fof(f255,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_R_out_1(X0)) ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_R_out_1(X0)) ),
inference(ennf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( pred_attacker(tuple_R_out_1(X0))
=> pred_attacker(X0) ),
inference(rectify,[],[f88]) ).
fof(f88,axiom,
! [X25] :
( pred_attacker(tuple_R_out_1(X25))
=> pred_attacker(X25) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f732,plain,
spl0_99,
inference(avatar_split_clause,[],[f254,f730]) ).
fof(f254,plain,
! [X0,X1] :
( pred_attacker(X1)
| ~ pred_attacker(tuple_knowledge_from_1st_round_out_2(X0,X1)) ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
! [X0,X1] :
( pred_attacker(X1)
| ~ pred_attacker(tuple_knowledge_from_1st_round_out_2(X0,X1)) ),
inference(ennf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( pred_attacker(tuple_knowledge_from_1st_round_out_2(X0,X1))
=> pred_attacker(X1) ),
inference(rectify,[],[f77]) ).
fof(f77,axiom,
! [X15,X16] :
( pred_attacker(tuple_knowledge_from_1st_round_out_2(X15,X16))
=> pred_attacker(X16) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f728,plain,
spl0_98,
inference(avatar_split_clause,[],[f253,f726]) ).
fof(f253,plain,
! [X0,X1] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_knowledge_from_1st_round_out_2(X0,X1)) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0,X1] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_knowledge_from_1st_round_out_2(X0,X1)) ),
inference(ennf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1] :
( pred_attacker(tuple_knowledge_from_1st_round_out_2(X0,X1))
=> pred_attacker(X0) ),
inference(rectify,[],[f76]) ).
fof(f76,axiom,
! [X13,X14] :
( pred_attacker(tuple_knowledge_from_1st_round_out_2(X13,X14))
=> pred_attacker(X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f534,plain,
spl0_58,
inference(avatar_split_clause,[],[f213,f531]) ).
fof(f213,plain,
pred_attacker(tuple_knowledge_from_1st_round_out_1(name_r0x30_from_1st)),
inference(cnf_transformation,[],[f102]) ).
fof(f102,axiom,
pred_attacker(tuple_knowledge_from_1st_round_out_1(name_r0x30_from_1st)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f521,plain,
spl0_55,
inference(avatar_split_clause,[],[f210,f519]) ).
fof(f210,plain,
! [X0,X1] :
( pred_attacker(tuple_R_in_2(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0,X1] :
( pred_attacker(tuple_R_in_2(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(flattening,[],[f141]) ).
fof(f141,plain,
! [X0,X1] :
( pred_attacker(tuple_R_in_2(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1] :
( ( pred_attacker(X1)
& pred_attacker(X0) )
=> pred_attacker(tuple_R_in_2(X0,X1)) ),
inference(rectify,[],[f89]) ).
fof(f89,axiom,
! [X26,X27] :
( ( pred_attacker(X27)
& pred_attacker(X26) )
=> pred_attacker(tuple_R_in_2(X26,X27)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f513,plain,
spl0_53,
inference(avatar_split_clause,[],[f208,f511]) ).
fof(f208,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_R_out_4(X0)) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_R_out_4(X0)) ),
inference(ennf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0] :
( pred_attacker(tuple_R_out_4(X0))
=> pred_attacker(X0) ),
inference(rectify,[],[f84]) ).
fof(f84,axiom,
! [X21] :
( pred_attacker(tuple_R_out_4(X21))
=> pred_attacker(X21) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f505,plain,
spl0_51,
inference(avatar_split_clause,[],[f206,f503]) ).
fof(f206,plain,
! [X0,X1] : constr_xor(X0,X1) = constr_xor(X1,X0),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1] : constr_xor(X0,X1) = constr_xor(X1,X0),
inference(rectify,[],[f69]) ).
fof(f69,axiom,
! [X2,X3] : constr_xor(X2,X3) = constr_xor(X3,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f501,plain,
spl0_50,
inference(avatar_split_clause,[],[f205,f499]) ).
fof(f205,plain,
! [X0,X1] :
( pred_attacker(constr_xor(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1] :
( pred_attacker(constr_xor(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(flattening,[],[f136]) ).
fof(f136,plain,
! [X0,X1] :
( pred_attacker(constr_xor(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1] :
( ( pred_attacker(X1)
& pred_attacker(X0) )
=> pred_attacker(constr_xor(X0,X1)) ),
inference(rectify,[],[f71]) ).
fof(f71,axiom,
! [X7,X8] :
( ( pred_attacker(X8)
& pred_attacker(X7) )
=> pred_attacker(constr_xor(X7,X8)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f497,plain,
spl0_49,
inference(avatar_split_clause,[],[f204,f495]) ).
fof(f204,plain,
! [X2,X0,X1] : constr_xor(X0,constr_xor(X1,X2)) = constr_xor(constr_xor(X0,X1),X2),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1,X2] : constr_xor(X0,constr_xor(X1,X2)) = constr_xor(constr_xor(X0,X1),X2),
inference(rectify,[],[f70]) ).
fof(f70,axiom,
! [X4,X5,X6] : constr_xor(X4,constr_xor(X5,X6)) = constr_xor(constr_xor(X4,X5),X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f453,plain,
spl0_40,
inference(avatar_split_clause,[],[f195,f450]) ).
fof(f195,plain,
pred_attacker(tuple_R_out_1(name_r0x30)),
inference(cnf_transformation,[],[f105]) ).
fof(f105,axiom,
pred_attacker(tuple_R_out_1(name_r0x30)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f403,plain,
spl0_30,
inference(avatar_split_clause,[],[f185,f400]) ).
fof(f185,plain,
pred_attacker(tuple_knowledge_from_1st_round_out_2(name_r1_from_1st,constr_h(constr_xor(constr_xor(name_r0x30_from_1st,name_r1_from_1st),name_k)))),
inference(cnf_transformation,[],[f103]) ).
fof(f103,axiom,
pred_attacker(tuple_knowledge_from_1st_round_out_2(name_r1_from_1st,constr_h(constr_xor(constr_xor(name_r0x30_from_1st,name_r1_from_1st),name_k)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f339,plain,
spl0_17,
inference(avatar_split_clause,[],[f172,f337]) ).
fof(f172,plain,
! [X0] : constr_ZERO = constr_xor(X0,X0),
inference(cnf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0] : constr_ZERO = constr_xor(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f335,plain,
spl0_16,
inference(avatar_split_clause,[],[f171,f333]) ).
fof(f171,plain,
! [X0] : constr_xor(X0,constr_ZERO) = X0,
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0] : constr_xor(X0,constr_ZERO) = X0,
inference(rectify,[],[f68]) ).
fof(f68,axiom,
! [X1] : constr_xor(X1,constr_ZERO) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f276,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f159,f273,f270]) ).
fof(f159,plain,
! [X0] :
( pred_attacker(tuple_R_out_4(name_objective_R))
| ~ pred_attacker(tuple_R_in_2(X0,constr_h(constr_xor(constr_xor(name_r0x30,X0),name_k)))) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0] :
( pred_attacker(tuple_R_out_4(name_objective_R))
| ~ pred_attacker(tuple_R_in_2(X0,constr_h(constr_xor(constr_xor(name_r0x30,X0),name_k)))) ),
inference(ennf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0] :
( pred_attacker(tuple_R_in_2(X0,constr_h(constr_xor(constr_xor(name_r0x30,X0),name_k))))
=> pred_attacker(tuple_R_out_4(name_objective_R)) ),
inference(rectify,[],[f107]) ).
fof(f107,axiom,
! [X39] :
( pred_attacker(tuple_R_in_2(X39,constr_h(constr_xor(constr_xor(name_r0x30,X39),name_k))))
=> pred_attacker(tuple_R_out_4(name_objective_R)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f263,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f157,f260]) ).
fof(f157,plain,
~ pred_attacker(name_objective_R),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
~ pred_attacker(name_objective_R),
inference(flattening,[],[f109]) ).
fof(f109,negated_conjecture,
~ pred_attacker(name_objective_R),
inference(negated_conjecture,[],[f108]) ).
fof(f108,conjecture,
pred_attacker(name_objective_R),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWW948+1 : TPTP v8.2.0. Released v7.4.0.
% 0.06/0.11 % Command : run_vampire %s %d THM
% 0.10/0.33 % Computer : n005.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Wed Jun 19 07:23:39 EDT 2024
% 0.10/0.33 % CPUTime :
% 0.18/0.34 This is a FOF_THM_RFO_SEQ problem
% 0.18/0.34 Running first-order theorem proving
% 0.18/0.34 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.38 % (26445)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.38 % (26452)lrs+1011_1:1_sil=32000:rnwc=on:nwc=10.0:lwlo=on:i=107:bd=off:av=off_0 on theBenchmark for (2999ds/107Mi)
% 0.18/0.38 % (26445)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.38 % (26447)lrs-1011_16:31_bsr=on:drc=encompass:tgt=full:sp=unary_first:acc=on:updr=off:nicw=on:i=134284:sil=256000:si=on:rtra=on:to=lpo:spb=goal_then_units:nwc=5.23:urr=on:lwlo=on:fdi=20:fsd=on:awrs=decay_0 on theBenchmark for (2999ds/134284Mi)
% 0.20/0.41 % (26445)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (26448)ott+1011_1:3_drc=encompass:sil=256000:bsd=on:sp=occurrence:sos=on:newcnf=on:i=214065:afp=1:aac=none:amm=off:afq=3.64962_0 on theBenchmark for (2999ds/214065Mi)
% 0.20/0.41 % (26445)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (26450)dis+1011_1:1_to=lpo:sil=4000:sp=const_max:sos=all:spb=goal:st=1.5:i=103:av=off:ss=axioms:sfv=off:bd=off:sd=2:fd=off_0 on theBenchmark for (2999ds/103Mi)
% 0.20/0.41 % (26445)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (26449)lrs+1010_2201:262144_anc=all:drc=encompass:sil=256000:sims=off:sp=frequency:spb=goal_then_units:rp=on:lwlo=on:st=3.0:i=231451:bs=unit_only:nm=6:ins=2:fsd=on:ss=axioms:sgt=16:afr=on:tgt=ground:awrs=decay:awrsf=200:acc=on:ccuc=first_0 on theBenchmark for (2999ds/231451Mi)
% 0.20/0.41 % (26445)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (26451)dis-1002_1:2_sil=4000:i=110:nm=2:ins=3:bd=off:fsr=off:rp=on:to=lpo:nwc=5.0:fd=off:sfv=off:fs=off_0 on theBenchmark for (2999ds/110Mi)
% 0.20/0.41 % (26445)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (26453)lrs-1011_4:7_sil=2000:tgt=full:bsd=on:spb=goal:nwc=5.0:updr=off:newcnf=on:i=121:kws=arity_squared:rawr=on:bsdmm=2_0 on theBenchmark for (2999ds/121Mi)
% 0.20/0.41 % (26450)Refutation not found, incomplete strategy% (26450)------------------------------
% 0.20/0.41 % (26450)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.41 % (26450)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.41 % (26450)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.41
% 0.20/0.41 % (26450)Memory used [KB]: 1131
% 0.20/0.41 % (26450)Time elapsed: 0.002 s
% 0.20/0.41 % (26450)Instructions burned: 3 (million)
% 0.20/0.41 % (26450)------------------------------
% 0.20/0.41 % (26450)------------------------------
% 0.20/0.41 % (26452)Instruction limit reached!
% 0.20/0.41 % (26452)------------------------------
% 0.20/0.41 % (26452)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.41 % (26452)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.41 % (26452)Termination reason: Time limit
% 0.20/0.41 % (26452)Termination phase: Saturation
% 0.20/0.41
% 0.20/0.41 % (26452)Memory used [KB]: 1811
% 0.20/0.41 % (26452)Time elapsed: 0.034 s
% 0.20/0.41 % (26452)Instructions burned: 108 (million)
% 0.20/0.43 % (26449)First to succeed.
% 0.20/0.43 % (26449)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26445"
% 0.20/0.43 % (26445)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (26449)Refutation found. Thanks to Tanya!
% 0.20/0.43 % SZS status Theorem for theBenchmark
% 0.20/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.43 % (26449)------------------------------
% 0.20/0.43 % (26449)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.43 % (26449)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.43 % (26449)Termination reason: Refutation
% 0.20/0.43
% 0.20/0.43 % (26449)Memory used [KB]: 1568
% 0.20/0.43 % (26449)Time elapsed: 0.022 s
% 0.20/0.43 % (26449)Instructions burned: 30 (million)
% 0.20/0.43 % (26449)------------------------------
% 0.20/0.43 % (26449)------------------------------
% 0.20/0.43 % (26445)Success in time 0.082 s
%------------------------------------------------------------------------------