TSTP Solution File: SWW958+1 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW958+1 : TPTP v8.2.0. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n013.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 18:47:13 EDT 2024
% Result : Theorem 0.22s 0.50s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 30
% Syntax : Number of formulae : 140 ( 33 unt; 0 def)
% Number of atoms : 322 ( 20 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 335 ( 153 ~; 132 |; 14 &)
% ( 8 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 9 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 6 con; 0-2 aty)
% Number of variables : 173 ( 173 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1806,plain,
$false,
inference(avatar_sat_refutation,[],[f711,f721,f771,f872,f945,f1341,f1649,f1765,f1805]) ).
fof(f1805,plain,
( spl0_15
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f1804,f1339,f1422]) ).
fof(f1422,plain,
( spl0_15
<=> ! [X0] : ~ pred_attacker(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f1339,plain,
( spl0_13
<=> ! [X0] :
( ~ pred_attacker(tuple_client_A_in_1(constr_pkey(X0)))
| ~ pred_attacker(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f1804,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f1803,f654]) ).
fof(f654,plain,
! [X0] :
( pred_attacker(constr_pkey(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f363]) ).
fof(f363,plain,
! [X0] :
( pred_attacker(constr_pkey(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f298]) ).
fof(f298,plain,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(constr_pkey(X0)) ),
inference(rectify,[],[f197]) ).
fof(f197,axiom,
! [X9] :
( pred_attacker(X9)
=> pred_attacker(constr_pkey(X9)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1803,plain,
( ! [X0] :
( ~ pred_attacker(X0)
| ~ pred_attacker(constr_pkey(X0)) )
| ~ spl0_13 ),
inference(resolution,[],[f1340,f652]) ).
fof(f652,plain,
! [X0] :
( pred_attacker(tuple_client_A_in_1(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f361]) ).
fof(f361,plain,
! [X0] :
( pred_attacker(tuple_client_A_in_1(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f296]) ).
fof(f296,plain,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_client_A_in_1(X0)) ),
inference(rectify,[],[f248]) ).
fof(f248,axiom,
! [X83] :
( pred_attacker(X83)
=> pred_attacker(tuple_client_A_in_1(X83)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1340,plain,
( ! [X0] :
( ~ pred_attacker(tuple_client_A_in_1(constr_pkey(X0)))
| ~ pred_attacker(X0) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f1339]) ).
fof(f1765,plain,
~ spl0_15,
inference(avatar_contradiction_clause,[],[f1688]) ).
fof(f1688,plain,
( $false
| ~ spl0_15 ),
inference(resolution,[],[f1423,f436]) ).
fof(f436,plain,
pred_attacker(constr_CONST_0x30),
inference(cnf_transformation,[],[f258]) ).
fof(f258,axiom,
pred_attacker(constr_CONST_0x30),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1423,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f1422]) ).
fof(f1649,plain,
( spl0_15
| ~ spl0_5
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f1648,f1335,f870,f1422]) ).
fof(f870,plain,
( spl0_5
<=> ! [X1] :
( pred_attacker(tuple_client_A_out_5(constr_add(constr_adec(X1,name_skA),constr_neg(name_Na))))
| ~ pred_attacker(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f1335,plain,
( spl0_12
<=> pred_attacker(constr_add(name_Na,name_Sa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f1648,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl0_5
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f1647,f782]) ).
fof(f782,plain,
pred_attacker(constr_pkey(name_skA)),
inference(resolution,[],[f662,f636]) ).
fof(f636,plain,
pred_attacker(tuple_out_1(constr_pkey(name_skA))),
inference(cnf_transformation,[],[f268]) ).
fof(f268,axiom,
pred_attacker(tuple_out_1(constr_pkey(name_skA))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f662,plain,
! [X0] :
( ~ pred_attacker(tuple_out_1(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f371]) ).
fof(f371,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_out_1(X0)) ),
inference(ennf_transformation,[],[f306]) ).
fof(f306,plain,
! [X0] :
( pred_attacker(tuple_out_1(X0))
=> pred_attacker(X0) ),
inference(rectify,[],[f205]) ).
fof(f205,axiom,
! [X17] :
( pred_attacker(tuple_out_1(X17))
=> pred_attacker(X17) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1647,plain,
( ! [X0] :
( ~ pred_attacker(X0)
| ~ pred_attacker(constr_pkey(name_skA)) )
| ~ spl0_5
| ~ spl0_12 ),
inference(duplicate_literal_removal,[],[f1645]) ).
fof(f1645,plain,
( ! [X0] :
( ~ pred_attacker(X0)
| ~ pred_attacker(constr_pkey(name_skA))
| ~ pred_attacker(X0) )
| ~ spl0_5
| ~ spl0_12 ),
inference(resolution,[],[f1415,f696]) ).
fof(f696,plain,
! [X0,X1] :
( pred_attacker(constr_aenc(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f414]) ).
fof(f414,plain,
! [X0,X1] :
( pred_attacker(constr_aenc(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(flattening,[],[f413]) ).
fof(f413,plain,
! [X0,X1] :
( pred_attacker(constr_aenc(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f339]) ).
fof(f339,plain,
! [X0,X1] :
( ( pred_attacker(X1)
& pred_attacker(X0) )
=> pred_attacker(constr_aenc(X0,X1)) ),
inference(rectify,[],[f250]) ).
fof(f250,axiom,
! [X85,X86] :
( ( pred_attacker(X86)
& pred_attacker(X85) )
=> pred_attacker(constr_aenc(X85,X86)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1415,plain,
( ! [X0] :
( ~ pred_attacker(constr_aenc(X0,constr_pkey(name_skA)))
| ~ pred_attacker(X0) )
| ~ spl0_5
| ~ spl0_12 ),
inference(superposition,[],[f1412,f669]) ).
fof(f669,plain,
! [X0,X1] : constr_adec(constr_aenc(X1,constr_pkey(X0)),X0) = X1,
inference(cnf_transformation,[],[f191]) ).
fof(f191,axiom,
! [X0,X1] : constr_adec(constr_aenc(X1,constr_pkey(X0)),X0) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1412,plain,
( ! [X0] :
( ~ pred_attacker(constr_adec(X0,name_skA))
| ~ pred_attacker(X0) )
| ~ spl0_5
| ~ spl0_12 ),
inference(resolution,[],[f1411,f644]) ).
fof(f644,plain,
! [X0] :
( pred_attacker(constr_neg(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f353]) ).
fof(f353,plain,
! [X0] :
( pred_attacker(constr_neg(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f288]) ).
fof(f288,plain,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(constr_neg(X0)) ),
inference(rectify,[],[f206]) ).
fof(f206,axiom,
! [X18] :
( pred_attacker(X18)
=> pred_attacker(constr_neg(X18)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1411,plain,
( ! [X0] :
( ~ pred_attacker(constr_neg(constr_adec(X0,name_skA)))
| ~ pred_attacker(X0) )
| ~ spl0_5
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f1407,f1396]) ).
fof(f1396,plain,
( ~ pred_attacker(constr_neg(name_Na))
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f1380,f429]) ).
fof(f429,plain,
~ pred_attacker(name_Sa),
inference(cnf_transformation,[],[f279]) ).
fof(f279,plain,
~ pred_attacker(name_Sa),
inference(flattening,[],[f278]) ).
fof(f278,negated_conjecture,
~ pred_attacker(name_Sa),
inference(negated_conjecture,[],[f277]) ).
fof(f277,conjecture,
pred_attacker(name_Sa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1380,plain,
( pred_attacker(name_Sa)
| ~ pred_attacker(constr_neg(name_Na))
| ~ spl0_12 ),
inference(resolution,[],[f1168,f1337]) ).
fof(f1337,plain,
( pred_attacker(constr_add(name_Na,name_Sa))
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f1335]) ).
fof(f1168,plain,
! [X0,X1] :
( ~ pred_attacker(constr_add(X0,X1))
| pred_attacker(X1)
| ~ pred_attacker(constr_neg(X0)) ),
inference(superposition,[],[f697,f862]) ).
fof(f862,plain,
! [X0,X1] : constr_add(constr_neg(X0),constr_add(X0,X1)) = X1,
inference(superposition,[],[f841,f857]) ).
fof(f857,plain,
! [X0] : constr_neg(constr_neg(X0)) = X0,
inference(forward_demodulation,[],[f848,f638]) ).
fof(f638,plain,
! [X0] : constr_add(X0,constr_ZERO) = X0,
inference(cnf_transformation,[],[f282]) ).
fof(f282,plain,
! [X0] : constr_add(X0,constr_ZERO) = X0,
inference(rectify,[],[f193]) ).
fof(f193,axiom,
! [X3] : constr_add(X3,constr_ZERO) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f848,plain,
! [X0] : constr_add(X0,constr_ZERO) = constr_neg(constr_neg(X0)),
inference(superposition,[],[f841,f639]) ).
fof(f639,plain,
! [X0] : constr_ZERO = constr_add(X0,constr_neg(X0)),
inference(cnf_transformation,[],[f283]) ).
fof(f283,plain,
! [X0] : constr_ZERO = constr_add(X0,constr_neg(X0)),
inference(rectify,[],[f192]) ).
fof(f192,axiom,
! [X2] : constr_ZERO = constr_add(X2,constr_neg(X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f841,plain,
! [X0,X1] : constr_add(X0,constr_add(constr_neg(X0),X1)) = X1,
inference(forward_demodulation,[],[f827,f789]) ).
fof(f789,plain,
! [X0] : constr_add(constr_ZERO,X0) = X0,
inference(superposition,[],[f668,f638]) ).
fof(f668,plain,
! [X0,X1] : constr_add(X0,X1) = constr_add(X1,X0),
inference(cnf_transformation,[],[f312]) ).
fof(f312,plain,
! [X0,X1] : constr_add(X0,X1) = constr_add(X1,X0),
inference(rectify,[],[f194]) ).
fof(f194,axiom,
! [X4,X5] : constr_add(X4,X5) = constr_add(X5,X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f827,plain,
! [X0,X1] : constr_add(constr_ZERO,X1) = constr_add(X0,constr_add(constr_neg(X0),X1)),
inference(superposition,[],[f700,f639]) ).
fof(f700,plain,
! [X2,X0,X1] : constr_add(X0,constr_add(X1,X2)) = constr_add(constr_add(X0,X1),X2),
inference(cnf_transformation,[],[f343]) ).
fof(f343,plain,
! [X0,X1,X2] : constr_add(X0,constr_add(X1,X2)) = constr_add(constr_add(X0,X1),X2),
inference(rectify,[],[f195]) ).
fof(f195,axiom,
! [X6,X7,X8] : constr_add(X6,constr_add(X7,X8)) = constr_add(constr_add(X6,X7),X8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f697,plain,
! [X0,X1] :
( pred_attacker(constr_add(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f416]) ).
fof(f416,plain,
! [X0,X1] :
( pred_attacker(constr_add(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(flattening,[],[f415]) ).
fof(f415,plain,
! [X0,X1] :
( pred_attacker(constr_add(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f340]) ).
fof(f340,plain,
! [X0,X1] :
( ( pred_attacker(X1)
& pred_attacker(X0) )
=> pred_attacker(constr_add(X0,X1)) ),
inference(rectify,[],[f252]) ).
fof(f252,axiom,
! [X89,X90] :
( ( pred_attacker(X90)
& pred_attacker(X89) )
=> pred_attacker(constr_add(X89,X90)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1407,plain,
( ! [X0] :
( ~ pred_attacker(X0)
| pred_attacker(constr_neg(name_Na))
| ~ pred_attacker(constr_neg(constr_adec(X0,name_skA))) )
| ~ spl0_5 ),
inference(resolution,[],[f1402,f1168]) ).
fof(f1402,plain,
( ! [X0] :
( pred_attacker(constr_add(constr_adec(X0,name_skA),constr_neg(name_Na)))
| ~ pred_attacker(X0) )
| ~ spl0_5 ),
inference(resolution,[],[f871,f663]) ).
fof(f663,plain,
! [X0] :
( ~ pred_attacker(tuple_client_A_out_5(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f372]) ).
fof(f372,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_client_A_out_5(X0)) ),
inference(ennf_transformation,[],[f307]) ).
fof(f307,plain,
! [X0] :
( pred_attacker(tuple_client_A_out_5(X0))
=> pred_attacker(X0) ),
inference(rectify,[],[f239]) ).
fof(f239,axiom,
! [X68] :
( pred_attacker(tuple_client_A_out_5(X68))
=> pred_attacker(X68) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f871,plain,
( ! [X1] :
( pred_attacker(tuple_client_A_out_5(constr_add(constr_adec(X1,name_skA),constr_neg(name_Na))))
| ~ pred_attacker(X1) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f870]) ).
fof(f1341,plain,
( spl0_12
| spl0_13
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f1333,f709,f1339,f1335]) ).
fof(f709,plain,
( spl0_2
<=> ! [X1] :
( pred_attacker(tuple_client_A_out_3(name_A,constr_aenc(constr_add(name_Na,name_Sa),X1)))
| ~ pred_attacker(tuple_client_A_in_1(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f1333,plain,
( ! [X0] :
( ~ pred_attacker(tuple_client_A_in_1(constr_pkey(X0)))
| ~ pred_attacker(X0)
| pred_attacker(constr_add(name_Na,name_Sa)) )
| ~ spl0_2 ),
inference(resolution,[],[f866,f819]) ).
fof(f819,plain,
! [X0,X1] :
( ~ pred_attacker(constr_aenc(X0,constr_pkey(X1)))
| ~ pred_attacker(X1)
| pred_attacker(X0) ),
inference(superposition,[],[f695,f669]) ).
fof(f695,plain,
! [X0,X1] :
( pred_attacker(constr_adec(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f412]) ).
fof(f412,plain,
! [X0,X1] :
( pred_attacker(constr_adec(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(flattening,[],[f411]) ).
fof(f411,plain,
! [X0,X1] :
( pred_attacker(constr_adec(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f338]) ).
fof(f338,plain,
! [X0,X1] :
( ( pred_attacker(X1)
& pred_attacker(X0) )
=> pred_attacker(constr_adec(X0,X1)) ),
inference(rectify,[],[f251]) ).
fof(f251,axiom,
! [X87,X88] :
( ( pred_attacker(X88)
& pred_attacker(X87) )
=> pred_attacker(constr_adec(X87,X88)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f866,plain,
( ! [X0] :
( pred_attacker(constr_aenc(constr_add(name_Na,name_Sa),X0))
| ~ pred_attacker(tuple_client_A_in_1(X0)) )
| ~ spl0_2 ),
inference(resolution,[],[f710,f674]) ).
fof(f674,plain,
! [X0,X1] :
( ~ pred_attacker(tuple_client_A_out_3(X0,X1))
| pred_attacker(X1) ),
inference(cnf_transformation,[],[f381]) ).
fof(f381,plain,
! [X0,X1] :
( pred_attacker(X1)
| ~ pred_attacker(tuple_client_A_out_3(X0,X1)) ),
inference(ennf_transformation,[],[f317]) ).
fof(f317,plain,
! [X0,X1] :
( pred_attacker(tuple_client_A_out_3(X0,X1))
=> pred_attacker(X1) ),
inference(rectify,[],[f242]) ).
fof(f242,axiom,
! [X73,X74] :
( pred_attacker(tuple_client_A_out_3(X73,X74))
=> pred_attacker(X74) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f710,plain,
( ! [X1] :
( pred_attacker(tuple_client_A_out_3(name_A,constr_aenc(constr_add(name_Na,name_Sa),X1)))
| ~ pred_attacker(tuple_client_A_in_1(X1)) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f945,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f875]) ).
fof(f875,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f873,f436]) ).
fof(f873,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl0_1 ),
inference(resolution,[],[f707,f653]) ).
fof(f653,plain,
! [X0] :
( pred_attacker(tuple_client_A_in_2(X0))
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f362]) ).
fof(f362,plain,
! [X0] :
( pred_attacker(tuple_client_A_in_2(X0))
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f297]) ).
fof(f297,plain,
! [X0] :
( pred_attacker(X0)
=> pred_attacker(tuple_client_A_in_2(X0)) ),
inference(rectify,[],[f246]) ).
fof(f246,axiom,
! [X81] :
( pred_attacker(X81)
=> pred_attacker(tuple_client_A_in_2(X81)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f707,plain,
( ! [X0] : ~ pred_attacker(tuple_client_A_in_2(X0))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f706]) ).
fof(f706,plain,
( spl0_1
<=> ! [X0] : ~ pred_attacker(tuple_client_A_in_2(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f872,plain,
( spl0_5
| spl0_1
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f868,f719,f706,f870]) ).
fof(f719,plain,
( spl0_4
<=> ! [X0,X1] :
( pred_attacker(tuple_client_A_out_5(constr_add(constr_adec(X0,name_skA),constr_neg(name_Na))))
| ~ pred_attacker(tuple_client_A_in_2(X1))
| ~ pred_attacker(tuple_client_A_in_4(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f868,plain,
( ! [X0,X1] :
( ~ pred_attacker(tuple_client_A_in_2(X0))
| pred_attacker(tuple_client_A_out_5(constr_add(constr_adec(X1,name_skA),constr_neg(name_Na))))
| ~ pred_attacker(X1) )
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f867,f667]) ).
fof(f667,plain,
! [X0] :
( ~ pred_attacker(tuple_client_A_in_2(X0))
| pred_attacker(X0) ),
inference(cnf_transformation,[],[f376]) ).
fof(f376,plain,
! [X0] :
( pred_attacker(X0)
| ~ pred_attacker(tuple_client_A_in_2(X0)) ),
inference(ennf_transformation,[],[f311]) ).
fof(f311,plain,
! [X0] :
( pred_attacker(tuple_client_A_in_2(X0))
=> pred_attacker(X0) ),
inference(rectify,[],[f247]) ).
fof(f247,axiom,
! [X82] :
( pred_attacker(tuple_client_A_in_2(X82))
=> pred_attacker(X82) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f867,plain,
( ! [X0,X1] :
( ~ pred_attacker(tuple_client_A_in_2(X0))
| pred_attacker(tuple_client_A_out_5(constr_add(constr_adec(X1,name_skA),constr_neg(name_Na))))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) )
| ~ spl0_4 ),
inference(resolution,[],[f720,f690]) ).
fof(f690,plain,
! [X0,X1] :
( pred_attacker(tuple_client_A_in_4(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(cnf_transformation,[],[f402]) ).
fof(f402,plain,
! [X0,X1] :
( pred_attacker(tuple_client_A_in_4(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(flattening,[],[f401]) ).
fof(f401,plain,
! [X0,X1] :
( pred_attacker(tuple_client_A_in_4(X0,X1))
| ~ pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(ennf_transformation,[],[f333]) ).
fof(f333,plain,
! [X0,X1] :
( ( pred_attacker(X1)
& pred_attacker(X0) )
=> pred_attacker(tuple_client_A_in_4(X0,X1)) ),
inference(rectify,[],[f243]) ).
fof(f243,axiom,
! [X75,X76] :
( ( pred_attacker(X76)
& pred_attacker(X75) )
=> pred_attacker(tuple_client_A_in_4(X75,X76)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f720,plain,
( ! [X0,X1] :
( ~ pred_attacker(tuple_client_A_in_4(X1,X0))
| ~ pred_attacker(tuple_client_A_in_2(X1))
| pred_attacker(tuple_client_A_out_5(constr_add(constr_adec(X0,name_skA),constr_neg(name_Na)))) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f719]) ).
fof(f771,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f723]) ).
fof(f723,plain,
( $false
| ~ spl0_3 ),
inference(resolution,[],[f722,f436]) ).
fof(f722,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl0_3 ),
inference(resolution,[],[f652,f717]) ).
fof(f717,plain,
( ! [X2] : ~ pred_attacker(tuple_client_A_in_1(X2))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f716]) ).
fof(f716,plain,
( spl0_3
<=> ! [X2] : ~ pred_attacker(tuple_client_A_in_1(X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f721,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f704,f719,f716]) ).
fof(f704,plain,
! [X2,X0,X1] :
( pred_attacker(tuple_client_A_out_5(constr_add(constr_adec(X0,name_skA),constr_neg(name_Na))))
| ~ pred_attacker(tuple_client_A_in_1(X2))
| ~ pred_attacker(tuple_client_A_in_2(X1))
| ~ pred_attacker(tuple_client_A_in_4(X1,X0)) ),
inference(cnf_transformation,[],[f428]) ).
fof(f428,plain,
! [X0,X1,X2] :
( pred_attacker(tuple_client_A_out_5(constr_add(constr_adec(X0,name_skA),constr_neg(name_Na))))
| ~ pred_attacker(tuple_client_A_in_1(X2))
| ~ pred_attacker(tuple_client_A_in_2(X1))
| ~ pred_attacker(tuple_client_A_in_4(X1,X0)) ),
inference(flattening,[],[f427]) ).
fof(f427,plain,
! [X0,X1,X2] :
( pred_attacker(tuple_client_A_out_5(constr_add(constr_adec(X0,name_skA),constr_neg(name_Na))))
| ~ pred_attacker(tuple_client_A_in_1(X2))
| ~ pred_attacker(tuple_client_A_in_2(X1))
| ~ pred_attacker(tuple_client_A_in_4(X1,X0)) ),
inference(ennf_transformation,[],[f347]) ).
fof(f347,plain,
! [X0,X1,X2] :
( ( pred_attacker(tuple_client_A_in_1(X2))
& pred_attacker(tuple_client_A_in_2(X1))
& pred_attacker(tuple_client_A_in_4(X1,X0)) )
=> pred_attacker(tuple_client_A_out_5(constr_add(constr_adec(X0,name_skA),constr_neg(name_Na)))) ),
inference(rectify,[],[f273]) ).
fof(f273,axiom,
! [X99,X100,X101] :
( ( pred_attacker(tuple_client_A_in_1(X101))
& pred_attacker(tuple_client_A_in_2(X100))
& pred_attacker(tuple_client_A_in_4(X100,X99)) )
=> pred_attacker(tuple_client_A_out_5(constr_add(constr_adec(X99,name_skA),constr_neg(name_Na)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f711,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f698,f709,f706]) ).
fof(f698,plain,
! [X0,X1] :
( pred_attacker(tuple_client_A_out_3(name_A,constr_aenc(constr_add(name_Na,name_Sa),X1)))
| ~ pred_attacker(tuple_client_A_in_1(X1))
| ~ pred_attacker(tuple_client_A_in_2(X0)) ),
inference(cnf_transformation,[],[f418]) ).
fof(f418,plain,
! [X0,X1] :
( pred_attacker(tuple_client_A_out_3(name_A,constr_aenc(constr_add(name_Na,name_Sa),X1)))
| ~ pred_attacker(tuple_client_A_in_1(X1))
| ~ pred_attacker(tuple_client_A_in_2(X0)) ),
inference(flattening,[],[f417]) ).
fof(f417,plain,
! [X0,X1] :
( pred_attacker(tuple_client_A_out_3(name_A,constr_aenc(constr_add(name_Na,name_Sa),X1)))
| ~ pred_attacker(tuple_client_A_in_1(X1))
| ~ pred_attacker(tuple_client_A_in_2(X0)) ),
inference(ennf_transformation,[],[f341]) ).
fof(f341,plain,
! [X0,X1] :
( ( pred_attacker(tuple_client_A_in_1(X1))
& pred_attacker(tuple_client_A_in_2(X0)) )
=> pred_attacker(tuple_client_A_out_3(name_A,constr_aenc(constr_add(name_Na,name_Sa),X1))) ),
inference(rectify,[],[f272]) ).
fof(f272,axiom,
! [X97,X98] :
( ( pred_attacker(tuple_client_A_in_1(X98))
& pred_attacker(tuple_client_A_in_2(X97)) )
=> pred_attacker(tuple_client_A_out_3(name_A,constr_aenc(constr_add(name_Na,name_Sa),X98))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWW958+1 : TPTP v8.2.0. Released v7.4.0.
% 0.12/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jun 19 08:25:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.35 Running first-order theorem proving
% 0.12/0.35 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.46 % (22245)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.46 % (22250)dis+11_1:1_nwc=5.0:s2a=on:i=66616:s2at=3.0:sil=128000:bd=off_0 on theBenchmark for (2999ds/66616Mi)
% 0.22/0.46 % (22245)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.46 % (22253)dis+1011_3:1_sil=256000:tgt=ground:sac=on:i=109:sd=1:ss=included_0 on theBenchmark for (2999ds/109Mi)
% 0.22/0.46 % (22245)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.46 % (22251)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=179501: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/179501Mi)
% 0.22/0.46 % (22245)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.46 % (22248)lrs+1011_1:12_anc=none:drc=off:sil=64000:sims=off:sp=unary_first:spb=goal_then_units:lsd=20:rnwc=on:nwc=2.0:i=53554:add=off:awrs=converge:bd=off:uhcvi=on:tgt=ground:afp=300:afq=1.63_0 on theBenchmark for (2999ds/53554Mi)
% 0.22/0.47 % (22245)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.47 % (22252)lrs+10_1:3_drc=off:sil=256000:sp=unary_first:lwlo=on:i=216875:kws=precedence:ins=3:rawr=on:nwc=10.0_0 on theBenchmark for (2999ds/216875Mi)
% 0.22/0.47 % (22245)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.47 % (22254)dis+1010_1:1_sil=2000:nwc=3.0:s2a=on:i=132:ins=5:fsr=off:ss=axioms:sd=2:fd=off_0 on theBenchmark for (2999ds/132Mi)
% 0.22/0.47 % (22245)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.47 % (22255)dis+1010_159245:1048576_to=lpo:sil=2000:etr=on:sp=unary_frequency:spb=goal:rnwc=on:nwc=10.9066:st=2:i=124:sd=1:nm=3:av=off:ss=axioms:rawr=on:drc=encompass:foolp=on:sgt=5:cond=fast:er=filter:erape=on:erml=2:s2a=on_0 on theBenchmark for (2999ds/124Mi)
% 0.22/0.47 % (22254)Refutation not found, incomplete strategy% (22254)------------------------------
% 0.22/0.47 % (22254)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.47 % (22254)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.47 % (22254)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.47
% 0.22/0.47 % (22254)Memory used [KB]: 1145
% 0.22/0.47 % (22254)Time elapsed: 0.005 s
% 0.22/0.47 % (22254)Instructions burned: 5 (million)
% 0.22/0.47 % (22254)------------------------------
% 0.22/0.47 % (22254)------------------------------
% 0.22/0.47 % (22255)Refutation not found, incomplete strategy% (22255)------------------------------
% 0.22/0.47 % (22255)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.47 % (22255)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.47 % (22255)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.47
% 0.22/0.47 % (22255)Memory used [KB]: 1155
% 0.22/0.47 % (22255)Time elapsed: 0.005 s
% 0.22/0.47 % (22255)Instructions burned: 5 (million)
% 0.22/0.47 % (22255)------------------------------
% 0.22/0.47 % (22255)------------------------------
% 0.22/0.50 % (22252)First to succeed.
% 0.22/0.50 % (22252)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-22245"
% 0.22/0.50 % (22245)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.50 % (22252)Refutation found. Thanks to Tanya!
% 0.22/0.50 % SZS status Theorem for theBenchmark
% 0.22/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.50 % (22252)------------------------------
% 0.22/0.50 % (22252)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.50 % (22252)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.50 % (22252)Termination reason: Refutation
% 0.22/0.50
% 0.22/0.50 % (22252)Memory used [KB]: 1659
% 0.22/0.50 % (22252)Time elapsed: 0.062 s
% 0.22/0.50 % (22252)Instructions burned: 54 (million)
% 0.22/0.50 % (22252)------------------------------
% 0.22/0.50 % (22252)------------------------------
% 0.22/0.50 % (22245)Success in time 0.128 s
%------------------------------------------------------------------------------