TSTP Solution File: SWW958+1 by Vampire-SAT---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : SWW958+1 : TPTP v8.2.0. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n004.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 19:04:06 EDT 2024
% Result : Theorem 1.72s 0.62s
% Output : Refutation 1.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 30
% Syntax : Number of formulae : 146 ( 36 unt; 0 def)
% Number of atoms : 335 ( 21 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 350 ( 161 ~; 139 |; 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; 5 con; 0-2 aty)
% Number of variables : 184 ( 184 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3093,plain,
$false,
inference(avatar_sat_refutation,[],[f713,f720,f769,f819,f1010,f1118,f1654,f2973,f3092]) ).
fof(f3092,plain,
~ spl0_15,
inference(avatar_contradiction_clause,[],[f3069]) ).
fof(f3069,plain,
( $false
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f637,f2967]) ).
fof(f2967,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f2966]) ).
fof(f2966,plain,
( spl0_15
<=> ! [X0] : ~ pred_attacker(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f637,plain,
! [X0] : pred_attacker(name_new0x2Dname(X0)),
inference(cnf_transformation,[],[f280]) ).
fof(f280,plain,
! [X0] : pred_attacker(name_new0x2Dname(X0)),
inference(rectify,[],[f267]) ).
fof(f267,axiom,
! [X96] : pred_attacker(name_new0x2Dname(X96)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2973,plain,
( spl0_15
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f2972,f1004,f955,f2966]) ).
fof(f955,plain,
( spl0_5
<=> ! [X0] :
( pred_attacker(tuple_client_A_out_5(constr_add(constr_neg(name_Na),constr_adec(X0,name_skA))))
| ~ pred_attacker(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f1004,plain,
( spl0_6
<=> pred_attacker(constr_add(name_Na,name_Sa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f2972,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f2971,f830]) ).
fof(f830,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(f2971,plain,
( ! [X0] :
( ~ pred_attacker(X0)
| ~ pred_attacker(constr_pkey(name_skA)) )
| ~ spl0_5
| ~ spl0_6 ),
inference(duplicate_literal_removal,[],[f2969]) ).
fof(f2969,plain,
( ! [X0] :
( ~ pred_attacker(X0)
| ~ pred_attacker(constr_pkey(name_skA))
| ~ pred_attacker(X0) )
| ~ spl0_5
| ~ spl0_6 ),
inference(resolution,[],[f2959,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(f2959,plain,
( ! [X0] :
( ~ pred_attacker(constr_aenc(X0,constr_pkey(name_skA)))
| ~ pred_attacker(X0) )
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f2956,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(f2956,plain,
( ! [X0] :
( ~ pred_attacker(constr_adec(X0,name_skA))
| ~ pred_attacker(X0) )
| ~ spl0_5
| ~ spl0_6 ),
inference(resolution,[],[f2877,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(f2877,plain,
( ! [X0] :
( ~ pred_attacker(constr_neg(constr_adec(X0,name_skA)))
| ~ pred_attacker(X0) )
| ~ spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f2848,f1232]) ).
fof(f1232,plain,
( ~ pred_attacker(constr_neg(name_Na))
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f1219,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(f1219,plain,
( pred_attacker(name_Sa)
| ~ pred_attacker(constr_neg(name_Na))
| ~ spl0_6 ),
inference(resolution,[],[f1180,f1006]) ).
fof(f1006,plain,
( pred_attacker(constr_add(name_Na,name_Sa))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f1004]) ).
fof(f1180,plain,
! [X0,X1] :
( ~ pred_attacker(constr_add(X0,X1))
| pred_attacker(X1)
| ~ pred_attacker(constr_neg(X0)) ),
inference(superposition,[],[f903,f907]) ).
fof(f907,plain,
! [X0] : constr_neg(constr_neg(X0)) = X0,
inference(forward_demodulation,[],[f898,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(f898,plain,
! [X0] : constr_add(X0,constr_ZERO) = constr_neg(constr_neg(X0)),
inference(superposition,[],[f889,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(f889,plain,
! [X0,X1] : constr_add(X0,constr_add(constr_neg(X0),X1)) = X1,
inference(forward_demodulation,[],[f875,f837]) ).
fof(f837,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(f875,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(f903,plain,
! [X0,X1] :
( ~ pred_attacker(constr_add(constr_neg(X0),X1))
| pred_attacker(X1)
| ~ pred_attacker(X0) ),
inference(superposition,[],[f697,f889]) ).
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(f2848,plain,
( ! [X0] :
( pred_attacker(constr_neg(name_Na))
| ~ pred_attacker(constr_neg(constr_adec(X0,name_skA)))
| ~ pred_attacker(X0) )
| ~ spl0_5 ),
inference(resolution,[],[f995,f1924]) ).
fof(f1924,plain,
( ! [X0] :
( pred_attacker(constr_add(constr_neg(name_Na),constr_adec(X0,name_skA)))
| ~ pred_attacker(X0) )
| ~ spl0_5 ),
inference(resolution,[],[f956,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(f956,plain,
( ! [X0] :
( pred_attacker(tuple_client_A_out_5(constr_add(constr_neg(name_Na),constr_adec(X0,name_skA))))
| ~ pred_attacker(X0) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f955]) ).
fof(f995,plain,
! [X0,X1] :
( ~ pred_attacker(constr_add(X1,X0))
| pred_attacker(X1)
| ~ pred_attacker(constr_neg(X0)) ),
inference(superposition,[],[f697,f932]) ).
fof(f932,plain,
! [X0,X1] : constr_add(constr_neg(X0),constr_add(X1,X0)) = X1,
inference(superposition,[],[f895,f907]) ).
fof(f895,plain,
! [X0,X1] : constr_add(X0,constr_add(X1,constr_neg(X0))) = X1,
inference(superposition,[],[f889,f668]) ).
fof(f1654,plain,
( spl0_2
| spl0_5
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f1653,f718,f955,f711]) ).
fof(f711,plain,
( spl0_2
<=> ! [X0] : ~ pred_attacker(tuple_client_A_in_2(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f718,plain,
( spl0_4
<=> ! [X0,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))))
| ~ pred_attacker(tuple_client_A_in_2(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f1653,plain,
( ! [X0,X1] :
( pred_attacker(tuple_client_A_out_5(constr_add(constr_neg(name_Na),constr_adec(X0,name_skA))))
| ~ pred_attacker(tuple_client_A_in_2(X1))
| ~ pred_attacker(X0) )
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f1652,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(f1652,plain,
( ! [X0,X1] :
( pred_attacker(tuple_client_A_out_5(constr_add(constr_neg(name_Na),constr_adec(X0,name_skA))))
| ~ pred_attacker(tuple_client_A_in_2(X1))
| ~ pred_attacker(X0)
| ~ pred_attacker(X1) )
| ~ spl0_4 ),
inference(resolution,[],[f918,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(f918,plain,
( ! [X0,X1] :
( ~ pred_attacker(tuple_client_A_in_4(X1,X0))
| pred_attacker(tuple_client_A_out_5(constr_add(constr_neg(name_Na),constr_adec(X0,name_skA))))
| ~ pred_attacker(tuple_client_A_in_2(X1)) )
| ~ spl0_4 ),
inference(forward_demodulation,[],[f719,f668]) ).
fof(f719,plain,
( ! [X0,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))))
| ~ pred_attacker(tuple_client_A_in_2(X1)) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f718]) ).
fof(f1118,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[],[f1096]) ).
fof(f1096,plain,
( $false
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f637,f1013]) ).
fof(f1013,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f1012,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(f1012,plain,
( ! [X0] :
( ~ pred_attacker(X0)
| ~ pred_attacker(constr_pkey(X0)) )
| ~ spl0_7 ),
inference(resolution,[],[f1009,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(f1009,plain,
( ! [X0] :
( ~ pred_attacker(tuple_client_A_in_1(constr_pkey(X0)))
| ~ pred_attacker(X0) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f1008]) ).
fof(f1008,plain,
( spl0_7
<=> ! [X0] :
( ~ pred_attacker(tuple_client_A_in_1(constr_pkey(X0)))
| ~ pred_attacker(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f1010,plain,
( spl0_6
| spl0_7
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f1002,f708,f1008,f1004]) ).
fof(f708,plain,
( spl0_1
<=> ! [X1] :
( ~ pred_attacker(tuple_client_A_in_1(X1))
| pred_attacker(tuple_client_A_out_3(name_A,constr_aenc(constr_add(name_Na,name_Sa),X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f1002,plain,
( ! [X0] :
( ~ pred_attacker(tuple_client_A_in_1(constr_pkey(X0)))
| ~ pred_attacker(X0)
| pred_attacker(constr_add(name_Na,name_Sa)) )
| ~ spl0_1 ),
inference(resolution,[],[f893,f867]) ).
fof(f867,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(f893,plain,
( ! [X0] :
( pred_attacker(constr_aenc(constr_add(name_Na,name_Sa),X0))
| ~ pred_attacker(tuple_client_A_in_1(X0)) )
| ~ spl0_1 ),
inference(resolution,[],[f709,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(f709,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_1 ),
inference(avatar_component_clause,[],[f708]) ).
fof(f819,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f801]) ).
fof(f801,plain,
( $false
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f637,f770]) ).
fof(f770,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f653,f712]) ).
fof(f712,plain,
( ! [X0] : ~ pred_attacker(tuple_client_A_in_2(X0))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f711]) ).
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(f769,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f751]) ).
fof(f751,plain,
( $false
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f637,f721]) ).
fof(f721,plain,
( ! [X0] : ~ pred_attacker(X0)
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f652,f716]) ).
fof(f716,plain,
( ! [X2] : ~ pred_attacker(tuple_client_A_in_1(X2))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f715]) ).
fof(f715,plain,
( spl0_3
<=> ! [X2] : ~ pred_attacker(tuple_client_A_in_1(X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f720,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f704,f718,f715]) ).
fof(f704,plain,
! [X2,X0,X1] :
( ~ pred_attacker(tuple_client_A_in_4(X1,X0))
| ~ pred_attacker(tuple_client_A_in_2(X1))
| ~ pred_attacker(tuple_client_A_in_1(X2))
| pred_attacker(tuple_client_A_out_5(constr_add(constr_adec(X0,name_skA),constr_neg(name_Na)))) ),
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(f713,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f698,f711,f708]) ).
fof(f698,plain,
! [X0,X1] :
( ~ pred_attacker(tuple_client_A_in_2(X0))
| ~ pred_attacker(tuple_client_A_in_1(X1))
| pred_attacker(tuple_client_A_out_3(name_A,constr_aenc(constr_add(name_Na,name_Sa),X1))) ),
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
% 0.07/0.13 % Problem : SWW958+1 : TPTP v8.2.0. Released v7.4.0.
% 0.07/0.13 % Command : run_vampire %s %d SAT
% 0.12/0.36 % Computer : n004.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8042.1875MB
% 0.12/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Wed Jun 19 08:25:39 EDT 2024
% 0.12/0.36 % CPUTime :
% 0.12/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.38 Running first-order model finding
% 0.12/0.38 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.44 % (7774)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (7775)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (2999ds/98885Mi)
% 0.23/0.44 % (7774)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (7777)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (2999ds/214858Mi)
% 0.23/0.44 % (7774)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (7780)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (2999ds/146Mi)
% 0.23/0.44 % (7774)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (7776)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency:i=99418_0 on theBenchmark for (2999ds/99418Mi)
% 0.23/0.44 % (7774)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (7779)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (2999ds/104Mi)
% 0.23/0.44 % (7774)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (7778)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (2999ds/152523Mi)
% 0.23/0.44 % (7774)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (7781)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (2999ds/115Mi)
% 0.23/0.45 Detected minimum model sizes of [20]
% 0.23/0.45 Detected maximum model sizes of [max]
% 0.23/0.45 Detected minimum model sizes of [20]
% 0.23/0.45 Detected minimum model sizes of [20]
% 0.23/0.45 Detected maximum model sizes of [max]
% 0.23/0.45 Detected maximum model sizes of [max]
% 0.23/0.50 % (7781)Instruction limit reached!
% 0.23/0.50 % (7781)------------------------------
% 0.23/0.50 % (7781)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.50 % (7781)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.50 % (7781)Termination reason: Time limit
% 0.23/0.50 % (7781)Termination phase: Saturation
% 0.23/0.50
% 0.23/0.50 % (7781)Memory used [KB]: 1450
% 0.23/0.50 % (7781)Time elapsed: 0.058 s
% 0.23/0.50 % (7781)Instructions burned: 116 (million)
% 0.23/0.50 % (7779)Instruction limit reached!
% 0.23/0.50 % (7779)------------------------------
% 0.23/0.50 % (7779)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.50 % (7779)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.50 % (7779)Termination reason: Time limit
% 0.23/0.50 % (7779)Termination phase: Saturation
% 0.23/0.50
% 0.23/0.50 % (7779)Memory used [KB]: 1932
% 0.23/0.50 % (7779)Time elapsed: 0.061 s
% 0.23/0.50 % (7779)Instructions burned: 104 (million)
% 0.23/0.53 % (7780)Instruction limit reached!
% 0.23/0.53 % (7780)------------------------------
% 0.23/0.53 % (7780)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.53 % (7780)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.53 % (7780)Termination reason: Time limit
% 0.23/0.53 % (7780)Termination phase: Saturation
% 0.23/0.53
% 0.23/0.53 % (7780)Memory used [KB]: 2288
% 0.23/0.53 % (7780)Time elapsed: 0.091 s
% 0.23/0.53 % (7780)Instructions burned: 147 (million)
% 0.23/0.56 % (7774)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.56 % (7782)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2998ds/404Mi)
% 0.23/0.56 % (7774)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.56 % (7783)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2998ds/175Mi)
% 0.23/0.57 TRYING [20]
% 1.54/0.59 TRYING [20]
% 1.54/0.59 % (7774)Running in auto input_syntax mode. Trying TPTP
% 1.54/0.59 % (7784)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2998ds/270Mi)
% 1.72/0.62 % (7782)First to succeed.
% 1.72/0.62 % (7782)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7774"
% 1.72/0.62 % (7774)Running in auto input_syntax mode. Trying TPTP
% 1.72/0.62 % (7782)Refutation found. Thanks to Tanya!
% 1.72/0.62 % SZS status Theorem for theBenchmark
% 1.72/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 1.72/0.62 % (7782)------------------------------
% 1.72/0.62 % (7782)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.72/0.62 % (7782)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.72/0.62 % (7782)Termination reason: Refutation
% 1.72/0.62
% 1.72/0.62 % (7782)Memory used [KB]: 1631
% 1.72/0.62 % (7782)Time elapsed: 0.057 s
% 1.72/0.62 % (7782)Instructions burned: 106 (million)
% 1.72/0.62 % (7782)------------------------------
% 1.72/0.62 % (7782)------------------------------
% 1.72/0.62 % (7774)Success in time 0.23 s
%------------------------------------------------------------------------------