TSTP Solution File: SWW955+1 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SWW955+1 : TPTP v8.2.0. Released v7.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n018.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 0.23s 0.46s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   68 (  19 unt;   0 def)
%            Number of atoms       :  125 (   5 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  100 (  43   ~;  37   |;   2   &)
%                                         (   4 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   5 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   4 con; 0-2 aty)
%            Number of variables   :   52 (  52   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f327,plain,
    $false,
    inference(avatar_sat_refutation,[],[f231,f274,f276,f278,f318]) ).

fof(f318,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f280]) ).

fof(f280,plain,
    ( $false
    | ~ spl0_1 ),
    inference(resolution,[],[f279,f149]) ).

fof(f149,plain,
    pred_attacker(constr_CONST_0x30),
    inference(cnf_transformation,[],[f58]) ).

fof(f58,axiom,
    pred_attacker(constr_CONST_0x30),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f279,plain,
    ( ! [X0] : ~ pred_attacker(X0)
    | ~ spl0_1 ),
    inference(resolution,[],[f226,f203]) ).

fof(f203,plain,
    ! [X0] :
      ( pred_attacker(tuple_A_in_2(X0))
      | ~ pred_attacker(X0) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f118,plain,
    ! [X0] :
      ( pred_attacker(tuple_A_in_2(X0))
      | ~ pred_attacker(X0) ),
    inference(ennf_transformation,[],[f93]) ).

fof(f93,plain,
    ! [X0] :
      ( pred_attacker(X0)
     => pred_attacker(tuple_A_in_2(X0)) ),
    inference(rectify,[],[f71]) ).

fof(f71,axiom,
    ! [X24] :
      ( pred_attacker(X24)
     => pred_attacker(tuple_A_in_2(X24)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f226,plain,
    ( ! [X0] : ~ pred_attacker(tuple_A_in_2(X0))
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f225]) ).

fof(f225,plain,
    ( spl0_1
  <=> ! [X0] : ~ pred_attacker(tuple_A_in_2(X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f278,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f277]) ).

fof(f277,plain,
    ( $false
    | ~ spl0_5 ),
    inference(resolution,[],[f269,f141]) ).

fof(f141,plain,
    ~ pred_attacker(name_objective),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,plain,
    ~ pred_attacker(name_objective),
    inference(flattening,[],[f83]) ).

fof(f83,negated_conjecture,
    ~ pred_attacker(name_objective),
    inference(negated_conjecture,[],[f82]) ).

fof(f82,conjecture,
    pred_attacker(name_objective),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f269,plain,
    ( pred_attacker(name_objective)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f267]) ).

fof(f267,plain,
    ( spl0_5
  <=> pred_attacker(name_objective) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f276,plain,
    spl0_6,
    inference(avatar_contradiction_clause,[],[f275]) ).

fof(f275,plain,
    ( $false
    | spl0_6 ),
    inference(resolution,[],[f273,f249]) ).

fof(f249,plain,
    pred_attacker(name_m_9),
    inference(resolution,[],[f247,f236]) ).

fof(f236,plain,
    pred_attacker(constr_comm_enc(name_m_9,name_Ka)),
    inference(resolution,[],[f208,f195]) ).

fof(f195,plain,
    pred_attacker(tuple_A_out_1(constr_comm_enc(name_m_9,name_Ka))),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,axiom,
    pred_attacker(tuple_A_out_1(constr_comm_enc(name_m_9,name_Ka))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f208,plain,
    ! [X0] :
      ( ~ pred_attacker(tuple_A_out_1(X0))
      | pred_attacker(X0) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f123,plain,
    ! [X0] :
      ( pred_attacker(X0)
      | ~ pred_attacker(tuple_A_out_1(X0)) ),
    inference(ennf_transformation,[],[f98]) ).

fof(f98,plain,
    ! [X0] :
      ( pred_attacker(tuple_A_out_1(X0))
     => pred_attacker(X0) ),
    inference(rectify,[],[f70]) ).

fof(f70,axiom,
    ! [X23] :
      ( pred_attacker(tuple_A_out_1(X23))
     => pred_attacker(X23) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f247,plain,
    ! [X0] :
      ( ~ pred_attacker(constr_comm_enc(X0,name_Ka))
      | pred_attacker(X0) ),
    inference(resolution,[],[f246,f203]) ).

fof(f246,plain,
    ! [X0] :
      ( ~ pred_attacker(tuple_A_in_2(constr_comm_enc(X0,name_Ka)))
      | pred_attacker(X0) ),
    inference(superposition,[],[f244,f215]) ).

fof(f215,plain,
    ! [X0,X1] : constr_comm_dec(constr_comm_enc(X1,X0),X0) = X1,
    inference(cnf_transformation,[],[f104]) ).

fof(f104,plain,
    ! [X0,X1] : constr_comm_dec(constr_comm_enc(X1,X0),X0) = X1,
    inference(rectify,[],[f47]) ).

fof(f47,axiom,
    ! [X2,X3] : constr_comm_dec(constr_comm_enc(X3,X2),X2) = X3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f244,plain,
    ! [X0] :
      ( pred_attacker(constr_comm_dec(X0,name_Ka))
      | ~ pred_attacker(tuple_A_in_2(X0)) ),
    inference(resolution,[],[f213,f207]) ).

fof(f207,plain,
    ! [X0] :
      ( ~ pred_attacker(tuple_A_out_3(X0))
      | pred_attacker(X0) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f122,plain,
    ! [X0] :
      ( pred_attacker(X0)
      | ~ pred_attacker(tuple_A_out_3(X0)) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f97,plain,
    ! [X0] :
      ( pred_attacker(tuple_A_out_3(X0))
     => pred_attacker(X0) ),
    inference(rectify,[],[f68]) ).

fof(f68,axiom,
    ! [X21] :
      ( pred_attacker(tuple_A_out_3(X21))
     => pred_attacker(X21) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f213,plain,
    ! [X0] :
      ( pred_attacker(tuple_A_out_3(constr_comm_dec(X0,name_Ka)))
      | ~ pred_attacker(tuple_A_in_2(X0)) ),
    inference(cnf_transformation,[],[f128]) ).

fof(f128,plain,
    ! [X0] :
      ( pred_attacker(tuple_A_out_3(constr_comm_dec(X0,name_Ka)))
      | ~ pred_attacker(tuple_A_in_2(X0)) ),
    inference(ennf_transformation,[],[f103]) ).

fof(f103,plain,
    ! [X0] :
      ( pred_attacker(tuple_A_in_2(X0))
     => pred_attacker(tuple_A_out_3(constr_comm_dec(X0,name_Ka))) ),
    inference(rectify,[],[f79]) ).

fof(f79,axiom,
    ! [X32] :
      ( pred_attacker(tuple_A_in_2(X32))
     => pred_attacker(tuple_A_out_3(constr_comm_dec(X32,name_Ka))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f273,plain,
    ( ~ pred_attacker(name_m_9)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f271]) ).

fof(f271,plain,
    ( spl0_6
  <=> pred_attacker(name_m_9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f274,plain,
    ( spl0_5
    | ~ spl0_6
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f263,f228,f271,f267]) ).

fof(f228,plain,
    ( spl0_2
  <=> pred_attacker(tuple_A_out_4(constr_enc(name_objective,name_m_9))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f263,plain,
    ( ~ pred_attacker(name_m_9)
    | pred_attacker(name_objective)
    | ~ spl0_2 ),
    inference(resolution,[],[f248,f240]) ).

fof(f240,plain,
    ( pred_attacker(constr_enc(name_objective,name_m_9))
    | ~ spl0_2 ),
    inference(resolution,[],[f230,f205]) ).

fof(f205,plain,
    ! [X0] :
      ( ~ pred_attacker(tuple_A_out_4(X0))
      | pred_attacker(X0) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f120,plain,
    ! [X0] :
      ( pred_attacker(X0)
      | ~ pred_attacker(tuple_A_out_4(X0)) ),
    inference(ennf_transformation,[],[f95]) ).

fof(f95,plain,
    ! [X0] :
      ( pred_attacker(tuple_A_out_4(X0))
     => pred_attacker(X0) ),
    inference(rectify,[],[f66]) ).

fof(f66,axiom,
    ! [X19] :
      ( pred_attacker(tuple_A_out_4(X19))
     => pred_attacker(X19) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f230,plain,
    ( pred_attacker(tuple_A_out_4(constr_enc(name_objective,name_m_9)))
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f228]) ).

fof(f248,plain,
    ! [X0,X1] :
      ( ~ pred_attacker(constr_enc(X0,X1))
      | ~ pred_attacker(X1)
      | pred_attacker(X0) ),
    inference(superposition,[],[f217,f214]) ).

fof(f214,plain,
    ! [X0,X1] : constr_dec(constr_enc(X1,X0),X0) = X1,
    inference(cnf_transformation,[],[f46]) ).

fof(f46,axiom,
    ! [X0,X1] : constr_dec(constr_enc(X1,X0),X0) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f217,plain,
    ! [X0,X1] :
      ( pred_attacker(constr_dec(X0,X1))
      | ~ pred_attacker(X1)
      | ~ pred_attacker(X0) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f132,plain,
    ! [X0,X1] :
      ( pred_attacker(constr_dec(X0,X1))
      | ~ pred_attacker(X1)
      | ~ pred_attacker(X0) ),
    inference(flattening,[],[f131]) ).

fof(f131,plain,
    ! [X0,X1] :
      ( pred_attacker(constr_dec(X0,X1))
      | ~ pred_attacker(X1)
      | ~ pred_attacker(X0) ),
    inference(ennf_transformation,[],[f106]) ).

fof(f106,plain,
    ! [X0,X1] :
      ( ( pred_attacker(X1)
        & pred_attacker(X0) )
     => pred_attacker(constr_dec(X0,X1)) ),
    inference(rectify,[],[f51]) ).

fof(f51,axiom,
    ! [X6,X7] :
      ( ( pred_attacker(X7)
        & pred_attacker(X6) )
     => pred_attacker(constr_dec(X6,X7)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f231,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f212,f228,f225]) ).

fof(f212,plain,
    ! [X0] :
      ( pred_attacker(tuple_A_out_4(constr_enc(name_objective,name_m_9)))
      | ~ pred_attacker(tuple_A_in_2(X0)) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f127,plain,
    ! [X0] :
      ( pred_attacker(tuple_A_out_4(constr_enc(name_objective,name_m_9)))
      | ~ pred_attacker(tuple_A_in_2(X0)) ),
    inference(ennf_transformation,[],[f102]) ).

fof(f102,plain,
    ! [X0] :
      ( pred_attacker(tuple_A_in_2(X0))
     => pred_attacker(tuple_A_out_4(constr_enc(name_objective,name_m_9))) ),
    inference(rectify,[],[f80]) ).

fof(f80,axiom,
    ! [X33] :
      ( pred_attacker(tuple_A_in_2(X33))
     => pred_attacker(tuple_A_out_4(constr_enc(name_objective,name_m_9))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWW955+1 : TPTP v8.2.0. Released v7.4.0.
% 0.07/0.13  % Command    : run_vampire %s %d THM
% 0.14/0.34  % Computer : n018.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Wed Jun 19 07:52:39 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.14/0.37  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.37  Running first-order theorem proving
% 0.14/0.37  Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.45  % (9233)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.45  % (9235)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)
% 0.23/0.45  % (9233)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.45  % (9237)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)
% 0.23/0.45  % (9233)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.45  % (9236)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)
% 0.23/0.45  % (9237)Refutation not found, incomplete strategy% (9237)------------------------------
% 0.23/0.45  % (9237)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.45  % (9237)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.45  % (9233)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.45  % (9238)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)
% 0.23/0.45  % (9237)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.45  
% 0.23/0.45  % (9237)Memory used [KB]: 1061
% 0.23/0.45  % (9237)Time elapsed: 0.003 s
% 0.23/0.45  % (9237)Instructions burned: 2 (million)
% 0.23/0.46  % (9237)------------------------------
% 0.23/0.46  % (9237)------------------------------
% 0.23/0.46  % (9238)First to succeed.
% 0.23/0.46  % (9238)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9233"
% 0.23/0.46  % (9233)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.46  % (9238)Refutation found. Thanks to Tanya!
% 0.23/0.46  % SZS status Theorem for theBenchmark
% 0.23/0.46  % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.46  % (9238)------------------------------
% 0.23/0.46  % (9238)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.46  % (9238)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.46  % (9238)Termination reason: Refutation
% 0.23/0.46  
% 0.23/0.46  % (9238)Memory used [KB]: 1178
% 0.23/0.46  % (9238)Time elapsed: 0.005 s
% 0.23/0.46  % (9238)Instructions burned: 5 (million)
% 0.23/0.46  % (9238)------------------------------
% 0.23/0.46  % (9238)------------------------------
% 0.23/0.46  % (9233)Success in time 0.08 s
%------------------------------------------------------------------------------