TSTP Solution File: CSR068+2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : CSR068+2 : TPTP v8.2.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n006.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 May 20 19:44:19 EDT 2024

% Result   : Theorem 0.20s 0.44s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   30 (  10 unt;   0 def)
%            Number of atoms       :   62 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   55 (  23   ~;  19   |;   5   &)
%                                         (   2 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   3 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :   18 (  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7577,plain,
    $false,
    inference(avatar_sat_refutation,[],[f4061,f7558,f7576]) ).

fof(f7576,plain,
    ~ spl0_73,
    inference(avatar_contradiction_clause,[],[f7575]) ).

fof(f7575,plain,
    ( $false
    | ~ spl0_73 ),
    inference(subsumption_resolution,[],[f7574,f2686]) ).

fof(f2686,plain,
    ~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),
    inference(cnf_transformation,[],[f1888]) ).

fof(f1888,plain,
    ( ~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328))
    & mtvisible(c_tptp_member2356_mt) ),
    inference(ennf_transformation,[],[f1133]) ).

fof(f1133,negated_conjecture,
    ~ ( mtvisible(c_tptp_member2356_mt)
     => tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
    inference(negated_conjecture,[],[f1132]) ).

fof(f1132,conjecture,
    ( mtvisible(c_tptp_member2356_mt)
   => tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query118) ).

fof(f7574,plain,
    ( tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328))
    | ~ spl0_73 ),
    inference(resolution,[],[f4060,f2690]) ).

fof(f2690,plain,
    furpelt(c_theprototypicalfurpelt),
    inference(cnf_transformation,[],[f260]) ).

fof(f260,axiom,
    furpelt(c_theprototypicalfurpelt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_260) ).

fof(f4060,plain,
    ( ! [X0] :
        ( ~ furpelt(X0)
        | tptpofobject(X0,f_tptpquantityfn_1(n_328)) )
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f4059]) ).

fof(f4059,plain,
    ( spl0_73
  <=> ! [X0] :
        ( tptpofobject(X0,f_tptpquantityfn_1(n_328))
        | ~ furpelt(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f7558,plain,
    spl0_61,
    inference(avatar_split_clause,[],[f7554,f4008]) ).

fof(f4008,plain,
    ( spl0_61
  <=> mtvisible(c_tptp_spindleheadmt) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f7554,plain,
    mtvisible(c_tptp_spindleheadmt),
    inference(resolution,[],[f5906,f2772]) ).

fof(f2772,plain,
    genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
    inference(cnf_transformation,[],[f446]) ).

fof(f446,axiom,
    genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_446) ).

fof(f5906,plain,
    ! [X0] :
      ( ~ genlmt(c_tptp_member2356_mt,X0)
      | mtvisible(X0) ),
    inference(resolution,[],[f3679,f2685]) ).

fof(f2685,plain,
    mtvisible(c_tptp_member2356_mt),
    inference(cnf_transformation,[],[f1888]) ).

fof(f3679,plain,
    ! [X0,X1] :
      ( ~ mtvisible(X0)
      | ~ genlmt(X0,X1)
      | mtvisible(X1) ),
    inference(cnf_transformation,[],[f2611]) ).

fof(f2611,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ genlmt(X0,X1)
      | ~ mtvisible(X0) ),
    inference(flattening,[],[f2610]) ).

fof(f2610,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ genlmt(X0,X1)
      | ~ mtvisible(X0) ),
    inference(ennf_transformation,[],[f1716]) ).

fof(f1716,plain,
    ! [X0,X1] :
      ( ( genlmt(X0,X1)
        & mtvisible(X0) )
     => mtvisible(X1) ),
    inference(rectify,[],[f1123]) ).

fof(f1123,axiom,
    ! [X19,X20] :
      ( ( genlmt(X19,X20)
        & mtvisible(X19) )
     => mtvisible(X20) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_1123) ).

fof(f4061,plain,
    ( ~ spl0_61
    | spl0_73 ),
    inference(avatar_split_clause,[],[f3568,f4059,f4008]) ).

fof(f3568,plain,
    ! [X0] :
      ( tptpofobject(X0,f_tptpquantityfn_1(n_328))
      | ~ furpelt(X0)
      | ~ mtvisible(c_tptp_spindleheadmt) ),
    inference(cnf_transformation,[],[f2500]) ).

fof(f2500,plain,
    ! [X0] :
      ( tptpofobject(X0,f_tptpquantityfn_1(n_328))
      | ~ furpelt(X0)
      | ~ mtvisible(c_tptp_spindleheadmt) ),
    inference(flattening,[],[f2499]) ).

fof(f2499,plain,
    ! [X0] :
      ( tptpofobject(X0,f_tptpquantityfn_1(n_328))
      | ~ furpelt(X0)
      | ~ mtvisible(c_tptp_spindleheadmt) ),
    inference(ennf_transformation,[],[f1578]) ).

fof(f1578,plain,
    ! [X0] :
      ( ( furpelt(X0)
        & mtvisible(c_tptp_spindleheadmt) )
     => tptpofobject(X0,f_tptpquantityfn_1(n_328)) ),
    inference(rectify,[],[f80]) ).

fof(f80,axiom,
    ! [X9] :
      ( ( furpelt(X9)
        & mtvisible(c_tptp_spindleheadmt) )
     => tptpofobject(X9,f_tptpquantityfn_1(n_328)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_80) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : CSR068+2 : TPTP v8.2.0. Released v3.4.0.
% 0.10/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.34  % Computer : n006.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit   : 300
% 0.15/0.34  % WCLimit    : 300
% 0.15/0.34  % DateTime   : Sun May 19 00:42:53 EDT 2024
% 0.15/0.34  % CPUTime    : 
% 0.15/0.34  % (31099)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (31103)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38  % (31101)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38  % (31100)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38  % (31105)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38  % (31102)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.38  % (31104)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38  % (31106)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.40  TRYING [1]
% 0.15/0.40  TRYING [1]
% 0.15/0.40  TRYING [2]
% 0.20/0.41  TRYING [2]
% 0.20/0.41  Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.20/0.41  Detected maximum model sizes of [max,7,3,1,1,1,3,3,2,1,1,1,2,1,2,2,2,1,1,1,1,1,1,1,1,1,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max]
% 0.20/0.41  TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.20/0.42  Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.20/0.42  Detected maximum model sizes of [max,7,3,1,1,1,3,3,2,1,1,1,2,1,2,2,2,1,1,1,1,1,1,1,1,1,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max]
% 0.20/0.42  TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.20/0.42  TRYING [2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.20/0.42  TRYING [2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.20/0.43  % (31105)First to succeed.
% 0.20/0.43  TRYING [3]
% 0.20/0.43  % (31105)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-31099"
% 0.20/0.43  % (31104)Also succeeded, but the first one will report.
% 0.20/0.44  TRYING [3]
% 0.20/0.44  % (31102)Also succeeded, but the first one will report.
% 0.20/0.44  % (31105)Refutation found. Thanks to Tanya!
% 0.20/0.44  % SZS status Theorem for theBenchmark
% 0.20/0.44  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.44  % (31105)------------------------------
% 0.20/0.44  % (31105)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.44  % (31105)Termination reason: Refutation
% 0.20/0.44  
% 0.20/0.44  % (31105)Memory used [KB]: 3326
% 0.20/0.44  % (31105)Time elapsed: 0.059 s
% 0.20/0.44  % (31105)Instructions burned: 120 (million)
% 0.20/0.44  % (31099)Success in time 0.091 s
%------------------------------------------------------------------------------