TSTP Solution File: SWW970+1 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SWW970+1 : TPTP v8.2.0. Released v7.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n022.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 18:47:16 EDT 2024

% Result   : Theorem 0.21s 0.44s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   35 (  12 unt;   0 def)
%            Number of atoms       :   65 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   58 (  28   ~;  20   |;   2   &)
%                                         (   2 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   23 (  23   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f471,plain,
    $false,
    inference(avatar_sat_refutation,[],[f424,f463,f470]) ).

fof(f470,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f469]) ).

fof(f469,plain,
    ( $false
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f468,f263]) ).

fof(f263,plain,
    ~ pred_attacker(name_objective),
    inference(cnf_transformation,[],[f141]) ).

fof(f141,plain,
    ~ pred_attacker(name_objective),
    inference(flattening,[],[f140]) ).

fof(f140,negated_conjecture,
    ~ pred_attacker(name_objective),
    inference(negated_conjecture,[],[f139]) ).

fof(f139,conjecture,
    pred_attacker(name_objective),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f468,plain,
    ( pred_attacker(name_objective)
    | ~ spl0_6 ),
    inference(resolution,[],[f358,f423]) ).

fof(f423,plain,
    ( pred_attacker(tuple_client_B_out_2(name_objective))
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f421]) ).

fof(f421,plain,
    ( spl0_6
  <=> pred_attacker(tuple_client_B_out_2(name_objective)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f358,plain,
    ! [X0] :
      ( ~ pred_attacker(tuple_client_B_out_2(X0))
      | pred_attacker(X0) ),
    inference(cnf_transformation,[],[f219]) ).

fof(f219,plain,
    ! [X0] :
      ( pred_attacker(X0)
      | ~ pred_attacker(tuple_client_B_out_2(X0)) ),
    inference(ennf_transformation,[],[f160]) ).

fof(f160,plain,
    ! [X0] :
      ( pred_attacker(tuple_client_B_out_2(X0))
     => pred_attacker(X0) ),
    inference(rectify,[],[f94]) ).

fof(f94,axiom,
    ! [X65] :
      ( pred_attacker(tuple_client_B_out_2(X65))
     => pred_attacker(X65) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f463,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f427]) ).

fof(f427,plain,
    ( $false
    | ~ spl0_5 ),
    inference(resolution,[],[f426,f267]) ).

fof(f267,plain,
    pred_attacker(constr_CONST_0x30),
    inference(cnf_transformation,[],[f115]) ).

fof(f115,axiom,
    pred_attacker(constr_CONST_0x30),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f426,plain,
    ( ! [X0] : ~ pred_attacker(X0)
    | ~ spl0_5 ),
    inference(resolution,[],[f354,f425]) ).

fof(f425,plain,
    ( ! [X0] : ~ pred_attacker(tuple_client_B_in_1(X0))
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f419,f362]) ).

fof(f362,plain,
    ! [X0,X1] : pred_eq_bitstring_bitstring(X0,X1),
    inference(cnf_transformation,[],[f164]) ).

fof(f164,plain,
    ! [X0,X1] : pred_eq_bitstring_bitstring(X0,X1),
    inference(rectify,[],[f80]) ).

fof(f80,axiom,
    ! [X49,X50] : pred_eq_bitstring_bitstring(X49,X50),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f419,plain,
    ( ! [X0] :
        ( ~ pred_attacker(tuple_client_B_in_1(X0))
        | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(X0,name_Kbs))) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f418]) ).

fof(f418,plain,
    ( spl0_5
  <=> ! [X0] :
        ( ~ pred_attacker(tuple_client_B_in_1(X0))
        | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(X0,name_Kbs))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f354,plain,
    ! [X0] :
      ( pred_attacker(tuple_client_B_in_1(X0))
      | ~ pred_attacker(X0) ),
    inference(cnf_transformation,[],[f215]) ).

fof(f215,plain,
    ! [X0] :
      ( pred_attacker(tuple_client_B_in_1(X0))
      | ~ pred_attacker(X0) ),
    inference(ennf_transformation,[],[f156]) ).

fof(f156,plain,
    ! [X0] :
      ( pred_attacker(X0)
     => pred_attacker(tuple_client_B_in_1(X0)) ),
    inference(rectify,[],[f95]) ).

fof(f95,axiom,
    ! [X66] :
      ( pred_attacker(X66)
     => pred_attacker(tuple_client_B_in_1(X66)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f424,plain,
    ( spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f361,f421,f418]) ).

fof(f361,plain,
    ! [X0] :
      ( pred_attacker(tuple_client_B_out_2(name_objective))
      | ~ pred_attacker(tuple_client_B_in_1(X0))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(X0,name_Kbs))) ),
    inference(cnf_transformation,[],[f223]) ).

fof(f223,plain,
    ! [X0] :
      ( pred_attacker(tuple_client_B_out_2(name_objective))
      | ~ pred_attacker(tuple_client_B_in_1(X0))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(X0,name_Kbs))) ),
    inference(flattening,[],[f222]) ).

fof(f222,plain,
    ! [X0] :
      ( pred_attacker(tuple_client_B_out_2(name_objective))
      | ~ pred_attacker(tuple_client_B_in_1(X0))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(X0,name_Kbs))) ),
    inference(ennf_transformation,[],[f163]) ).

fof(f163,plain,
    ! [X0] :
      ( ( pred_attacker(tuple_client_B_in_1(X0))
        & pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(X0,name_Kbs))) )
     => pred_attacker(tuple_client_B_out_2(name_objective)) ),
    inference(rectify,[],[f136]) ).

fof(f136,axiom,
    ! [X140] :
      ( ( pred_attacker(tuple_client_B_in_1(X140))
        & pred_eq_bitstring_bitstring(name_A,constr_tuple_3_get_0x30(constr_cbc_dec_3(X140,name_Kbs))) )
     => pred_attacker(tuple_client_B_out_2(name_objective)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SWW970+1 : TPTP v8.2.0. Released v7.4.0.
% 0.08/0.13  % Command    : run_vampire %s %d THM
% 0.12/0.34  % Computer : n022.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Wed Jun 19 07:06:24 EDT 2024
% 0.12/0.35  % CPUTime    : 
% 0.12/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.12/0.37  Running first-order theorem proving
% 0.12/0.37  Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.43  % (10904)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43  % (10909)dis+11_1:1_nwc=5.0:s2a=on:i=66616:s2at=3.0:sil=128000:bd=off_0 on theBenchmark for (2999ds/66616Mi)
% 0.21/0.43  % (10904)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43  % (10912)dis+1011_3:1_sil=256000:tgt=ground:sac=on:i=109:sd=1:ss=included_0 on theBenchmark for (2999ds/109Mi)
% 0.21/0.43  % (10904)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43  % (10913)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)
% 0.21/0.43  % (10904)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43  % (10911)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)
% 0.21/0.43  % (10904)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43  % (10910)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)
% 0.21/0.43  % (10904)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43  % (10914)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)
% 0.21/0.43  % (10904)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43  % (10908)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)
% 0.21/0.44  % (10913)Refutation not found, incomplete strategy% (10913)------------------------------
% 0.21/0.44  % (10913)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.44  % (10913)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.44  % (10913)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.44  
% 0.21/0.44  % (10913)Memory used [KB]: 1131
% 0.21/0.44  % (10913)Time elapsed: 0.003 s
% 0.21/0.44  % (10913)Instructions burned: 2 (million)
% 0.21/0.44  % (10913)------------------------------
% 0.21/0.44  % (10913)------------------------------
% 0.21/0.44  % (10914)Refutation not found, incomplete strategy% (10914)------------------------------
% 0.21/0.44  % (10914)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.44  % (10914)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.44  % (10914)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.44  
% 0.21/0.44  % (10914)Memory used [KB]: 1130
% 0.21/0.44  % (10914)Time elapsed: 0.005 s
% 0.21/0.44  % (10914)Instructions burned: 4 (million)
% 0.21/0.44  % (10914)------------------------------
% 0.21/0.44  % (10914)------------------------------
% 0.21/0.44  % (10908)First to succeed.
% 0.21/0.44  % (10911)Also succeeded, but the first one will report.
% 0.21/0.44  % (10908)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-10904"
% 0.21/0.44  % (10909)Also succeeded, but the first one will report.
% 0.21/0.44  % (10904)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.44  % (10908)Refutation found. Thanks to Tanya!
% 0.21/0.44  % SZS status Theorem for theBenchmark
% 0.21/0.44  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.44  % (10908)------------------------------
% 0.21/0.44  % (10908)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.44  % (10908)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.44  % (10908)Termination reason: Refutation
% 0.21/0.44  
% 0.21/0.44  % (10908)Memory used [KB]: 1212
% 0.21/0.44  % (10908)Time elapsed: 0.008 s
% 0.21/0.44  % (10908)Instructions burned: 9 (million)
% 0.21/0.44  % (10908)------------------------------
% 0.21/0.44  % (10908)------------------------------
% 0.21/0.44  % (10904)Success in time 0.066 s
%------------------------------------------------------------------------------