TSTP Solution File: SWW961+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWW961+1 : TPTP v8.1.0. Released v7.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n003.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 : Wed Aug 31 19:15:09 EDT 2022

% Result   : Theorem 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   60 (  18 unt;   0 def)
%            Number of atoms       :  140 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  152 (  72   ~;  56   |;  10   &)
%                                         (   4 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    7 (   6 usr;   5 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;   7 con; 0-2 aty)
%            Number of variables   :   60 (  60   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f689,plain,
    $false,
    inference(avatar_sat_refutation,[],[f559,f599,f642,f685,f688]) ).

fof(f688,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f687]) ).

fof(f687,plain,
    ( $false
    | ~ spl0_1 ),
    inference(resolution,[],[f686,f533]) ).

fof(f533,plain,
    ~ pred_attacker(name_objective),
    inference(cnf_transformation,[],[f184]) ).

fof(f184,plain,
    ~ pred_attacker(name_objective),
    inference(flattening,[],[f178]) ).

fof(f178,negated_conjecture,
    ~ pred_attacker(name_objective),
    inference(negated_conjecture,[],[f177]) ).

fof(f177,conjecture,
    pred_attacker(name_objective),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co0) ).

fof(f686,plain,
    ( pred_attacker(name_objective)
    | ~ spl0_1 ),
    inference(resolution,[],[f549,f379]) ).

fof(f379,plain,
    ! [X0] :
      ( ~ pred_attacker(tuple_client_B_out_6(X0))
      | pred_attacker(X0) ),
    inference(cnf_transformation,[],[f302]) ).

fof(f302,plain,
    ! [X0] :
      ( pred_attacker(X0)
      | ~ pred_attacker(tuple_client_B_out_6(X0)) ),
    inference(ennf_transformation,[],[f204]) ).

fof(f204,plain,
    ! [X0] :
      ( pred_attacker(tuple_client_B_out_6(X0))
     => pred_attacker(X0) ),
    inference(rectify,[],[f115]) ).

fof(f115,axiom,
    ! [X56] :
      ( pred_attacker(tuple_client_B_out_6(X56))
     => pred_attacker(X56) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax114) ).

fof(f549,plain,
    ( pred_attacker(tuple_client_B_out_6(name_objective))
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f547]) ).

fof(f547,plain,
    ( spl0_1
  <=> pred_attacker(tuple_client_B_out_6(name_objective)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f685,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[],[f660]) ).

fof(f660,plain,
    ( $false
    | ~ spl0_4 ),
    inference(resolution,[],[f645,f501]) ).

fof(f501,plain,
    pred_attacker(tuple_out_1(constr_pkey(name_skA))),
    inference(cnf_transformation,[],[f166]) ).

fof(f166,axiom,
    pred_attacker(tuple_out_1(constr_pkey(name_skA))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax165) ).

fof(f645,plain,
    ( ! [X0] : ~ pred_attacker(X0)
    | ~ spl0_4 ),
    inference(resolution,[],[f643,f429]) ).

fof(f429,plain,
    ! [X0] :
      ( pred_attacker(tuple_client_B_in_5(X0))
      | ~ pred_attacker(X0) ),
    inference(cnf_transformation,[],[f338]) ).

fof(f338,plain,
    ! [X0] :
      ( ~ pred_attacker(X0)
      | pred_attacker(tuple_client_B_in_5(X0)) ),
    inference(ennf_transformation,[],[f187]) ).

fof(f187,plain,
    ! [X0] :
      ( pred_attacker(X0)
     => pred_attacker(tuple_client_B_in_5(X0)) ),
    inference(rectify,[],[f121]) ).

fof(f121,axiom,
    ! [X65] :
      ( pred_attacker(X65)
     => pred_attacker(tuple_client_B_in_5(X65)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax120) ).

fof(f643,plain,
    ( ! [X0] : ~ pred_attacker(tuple_client_B_in_5(X0))
    | ~ spl0_4 ),
    inference(resolution,[],[f558,f487]) ).

fof(f487,plain,
    ! [X0,X1] : pred_eq_bitstring_bitstring(X1,X0),
    inference(cnf_transformation,[],[f188]) ).

fof(f188,plain,
    ! [X0,X1] : pred_eq_bitstring_bitstring(X1,X0),
    inference(rectify,[],[f90]) ).

fof(f90,axiom,
    ! [X24,X23] : pred_eq_bitstring_bitstring(X23,X24),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax89) ).

fof(f558,plain,
    ( ! [X2,X1] :
        ( ~ pred_eq_bitstring_bitstring(name_Nb(X1),constr_adec(X2,name_skB))
        | ~ pred_attacker(tuple_client_B_in_5(X2)) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f557]) ).

fof(f557,plain,
    ( spl0_4
  <=> ! [X2,X1] :
        ( ~ pred_eq_bitstring_bitstring(name_Nb(X1),constr_adec(X2,name_skB))
        | ~ pred_attacker(tuple_client_B_in_5(X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f642,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f604]) ).

fof(f604,plain,
    ( $false
    | ~ spl0_3 ),
    inference(resolution,[],[f602,f516]) ).

fof(f516,plain,
    pred_attacker(constr_CONST_1),
    inference(cnf_transformation,[],[f151]) ).

fof(f151,axiom,
    pred_attacker(constr_CONST_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax150) ).

fof(f602,plain,
    ( ! [X1] : ~ pred_attacker(X1)
    | ~ spl0_3 ),
    inference(resolution,[],[f468,f600]) ).

fof(f600,plain,
    ( ! [X0] : ~ pred_attacker(tuple_client_B_in_3(X0))
    | ~ spl0_3 ),
    inference(resolution,[],[f555,f487]) ).

fof(f555,plain,
    ( ! [X0] :
        ( ~ pred_eq_bitstring_bitstring(name_A,constr_assoc_pair_2_get_1(constr_adec(X0,name_skB)))
        | ~ pred_attacker(tuple_client_B_in_3(X0)) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f554]) ).

fof(f554,plain,
    ( spl0_3
  <=> ! [X0] :
        ( ~ pred_eq_bitstring_bitstring(name_A,constr_assoc_pair_2_get_1(constr_adec(X0,name_skB)))
        | ~ pred_attacker(tuple_client_B_in_3(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f468,plain,
    ! [X0] :
      ( pred_attacker(tuple_client_B_in_3(X0))
      | ~ pred_attacker(X0) ),
    inference(cnf_transformation,[],[f278]) ).

fof(f278,plain,
    ! [X0] :
      ( pred_attacker(tuple_client_B_in_3(X0))
      | ~ pred_attacker(X0) ),
    inference(ennf_transformation,[],[f189]) ).

fof(f189,plain,
    ! [X0] :
      ( pred_attacker(X0)
     => pred_attacker(tuple_client_B_in_3(X0)) ),
    inference(rectify,[],[f123]) ).

fof(f123,axiom,
    ! [X67] :
      ( pred_attacker(X67)
     => pred_attacker(tuple_client_B_in_3(X67)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax122) ).

fof(f599,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f571]) ).

fof(f571,plain,
    ( $false
    | ~ spl0_2 ),
    inference(resolution,[],[f561,f441]) ).

fof(f441,plain,
    pred_attacker(name_c),
    inference(cnf_transformation,[],[f158]) ).

fof(f158,axiom,
    pred_attacker(name_c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax157) ).

fof(f561,plain,
    ( ! [X0] : ~ pred_attacker(X0)
    | ~ spl0_2 ),
    inference(resolution,[],[f405,f560]) ).

fof(f560,plain,
    ( ! [X0] : ~ pred_attacker(tuple_client_B_in_2(X0))
    | ~ spl0_2 ),
    inference(resolution,[],[f487,f552]) ).

fof(f552,plain,
    ( ! [X3] :
        ( ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X3,constr_pkey(name_skS))))
        | ~ pred_attacker(tuple_client_B_in_2(X3)) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f551]) ).

fof(f551,plain,
    ( spl0_2
  <=> ! [X3] :
        ( ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X3,constr_pkey(name_skS))))
        | ~ pred_attacker(tuple_client_B_in_2(X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f405,plain,
    ! [X0] :
      ( pred_attacker(tuple_client_B_in_2(X0))
      | ~ pred_attacker(X0) ),
    inference(cnf_transformation,[],[f281]) ).

fof(f281,plain,
    ! [X0] :
      ( pred_attacker(tuple_client_B_in_2(X0))
      | ~ pred_attacker(X0) ),
    inference(ennf_transformation,[],[f227]) ).

fof(f227,plain,
    ! [X0] :
      ( pred_attacker(X0)
     => pred_attacker(tuple_client_B_in_2(X0)) ),
    inference(rectify,[],[f125]) ).

fof(f125,axiom,
    ! [X69] :
      ( pred_attacker(X69)
     => pred_attacker(tuple_client_B_in_2(X69)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax124) ).

fof(f559,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f387,f557,f554,f551,f547]) ).

fof(f387,plain,
    ! [X2,X3,X0,X1] :
      ( ~ pred_eq_bitstring_bitstring(name_Nb(X1),constr_adec(X2,name_skB))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_assoc_pair_2_get_1(constr_adec(X0,name_skB)))
      | ~ pred_attacker(tuple_client_B_in_5(X2))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X3,constr_pkey(name_skS))))
      | ~ pred_attacker(tuple_client_B_in_3(X0))
      | ~ pred_attacker(tuple_client_B_in_2(X3))
      | pred_attacker(tuple_client_B_out_6(name_objective)) ),
    inference(cnf_transformation,[],[f347]) ).

fof(f347,plain,
    ! [X0,X1,X2,X3] :
      ( ~ pred_attacker(tuple_client_B_in_3(X0))
      | ~ pred_attacker(tuple_client_B_in_5(X2))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_assoc_pair_2_get_1(constr_adec(X0,name_skB)))
      | ~ pred_attacker(tuple_client_B_in_2(X3))
      | ~ pred_eq_bitstring_bitstring(name_Nb(X1),constr_adec(X2,name_skB))
      | pred_attacker(tuple_client_B_out_6(name_objective))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X3,constr_pkey(name_skS)))) ),
    inference(rectify,[],[f287]) ).

fof(f287,plain,
    ! [X1,X0,X3,X2] :
      ( ~ pred_attacker(tuple_client_B_in_3(X1))
      | ~ pred_attacker(tuple_client_B_in_5(X3))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_assoc_pair_2_get_1(constr_adec(X1,name_skB)))
      | ~ pred_attacker(tuple_client_B_in_2(X2))
      | ~ pred_eq_bitstring_bitstring(name_Nb(X0),constr_adec(X3,name_skB))
      | pred_attacker(tuple_client_B_out_6(name_objective))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X2,constr_pkey(name_skS)))) ),
    inference(flattening,[],[f286]) ).

fof(f286,plain,
    ! [X3,X1,X2,X0] :
      ( pred_attacker(tuple_client_B_out_6(name_objective))
      | ~ pred_attacker(tuple_client_B_in_3(X1))
      | ~ pred_eq_bitstring_bitstring(name_Nb(X0),constr_adec(X3,name_skB))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X2,constr_pkey(name_skS))))
      | ~ pred_attacker(tuple_client_B_in_2(X2))
      | ~ pred_attacker(tuple_client_B_in_5(X3))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_assoc_pair_2_get_1(constr_adec(X1,name_skB))) ),
    inference(ennf_transformation,[],[f217]) ).

fof(f217,plain,
    ! [X3,X1,X2,X0] :
      ( ( pred_attacker(tuple_client_B_in_3(X1))
        & pred_eq_bitstring_bitstring(name_Nb(X0),constr_adec(X3,name_skB))
        & pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X2,constr_pkey(name_skS))))
        & pred_attacker(tuple_client_B_in_2(X2))
        & pred_attacker(tuple_client_B_in_5(X3))
        & pred_eq_bitstring_bitstring(name_A,constr_assoc_pair_2_get_1(constr_adec(X1,name_skB))) )
     => pred_attacker(tuple_client_B_out_6(name_objective)) ),
    inference(rectify,[],[f174]) ).

fof(f174,axiom,
    ! [X121,X122,X124,X123] :
      ( ( pred_eq_bitstring_bitstring(name_A,constr_assoc_pair_2_get_1(constr_adec(X122,name_skB)))
        & pred_attacker(tuple_client_B_in_5(X123))
        & pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X124,constr_pkey(name_skS))))
        & pred_attacker(tuple_client_B_in_3(X122))
        & pred_eq_bitstring_bitstring(name_Nb(X121),constr_adec(X123,name_skB))
        & pred_attacker(tuple_client_B_in_2(X124)) )
     => pred_attacker(tuple_client_B_out_6(name_objective)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax173) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWW961+1 : TPTP v8.1.0. Released v7.4.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n003.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 21:18:52 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.50  % (23880)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.50  % (23885)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.50  % (23872)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.50  % (23858)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.50  % (23872)Instruction limit reached!
% 0.20/0.50  % (23872)------------------------------
% 0.20/0.50  % (23872)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (23872)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (23872)Termination reason: Unknown
% 0.20/0.50  % (23872)Termination phase: Clausification
% 0.20/0.50  
% 0.20/0.50  % (23872)Memory used [KB]: 1663
% 0.20/0.50  % (23872)Time elapsed: 0.004 s
% 0.20/0.50  % (23872)Instructions burned: 3 (million)
% 0.20/0.50  % (23872)------------------------------
% 0.20/0.50  % (23872)------------------------------
% 0.20/0.51  % (23864)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.51  % (23877)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.51  % (23865)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.51  % (23868)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.51  % (23880)First to succeed.
% 0.20/0.51  % (23864)Refutation not found, incomplete strategy% (23864)------------------------------
% 0.20/0.51  % (23864)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (23864)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (23864)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51  
% 0.20/0.51  % (23864)Memory used [KB]: 6012
% 0.20/0.51  % (23864)Time elapsed: 0.065 s
% 0.20/0.51  % (23864)Instructions burned: 3 (million)
% 0.20/0.51  % (23864)------------------------------
% 0.20/0.51  % (23864)------------------------------
% 0.20/0.51  % (23868)Refutation not found, incomplete strategy% (23868)------------------------------
% 0.20/0.51  % (23868)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (23868)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (23868)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51  
% 0.20/0.51  % (23868)Memory used [KB]: 6268
% 0.20/0.51  % (23868)Time elapsed: 0.100 s
% 0.20/0.51  % (23868)Instructions burned: 6 (million)
% 0.20/0.51  % (23868)------------------------------
% 0.20/0.51  % (23868)------------------------------
% 0.20/0.51  % (23880)Refutation found. Thanks to Tanya!
% 0.20/0.51  % SZS status Theorem for theBenchmark
% 0.20/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51  % (23880)------------------------------
% 0.20/0.51  % (23880)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (23880)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (23880)Termination reason: Refutation
% 0.20/0.51  
% 0.20/0.51  % (23880)Memory used [KB]: 6268
% 0.20/0.51  % (23880)Time elapsed: 0.063 s
% 0.20/0.51  % (23880)Instructions burned: 8 (million)
% 0.20/0.51  % (23880)------------------------------
% 0.20/0.51  % (23880)------------------------------
% 0.20/0.51  % (23857)Success in time 0.16 s
%------------------------------------------------------------------------------