TSTP Solution File: CSR056+2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : CSR056+2 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n020.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 : Sun May  5 04:59:20 EDT 2024

% Result   : Theorem 0.19s 0.44s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   47 (   8 unt;   0 def)
%            Number of atoms       :   99 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   91 (  39   ~;  33   |;   5   &)
%                                         (   5 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   6 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :   25 (  22   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f6544,plain,
    $false,
    inference(avatar_sat_refutation,[],[f6484,f6486,f6494,f6509,f6538,f6543]) ).

fof(f6543,plain,
    ( ~ spl0_97
    | ~ spl0_101 ),
    inference(avatar_contradiction_clause,[],[f6542]) ).

fof(f6542,plain,
    ( $false
    | ~ spl0_97
    | ~ spl0_101 ),
    inference(resolution,[],[f6541,f6508]) ).

fof(f6508,plain,
    ( artsupplies(c_tptpartsupplies)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f6506]) ).

fof(f6506,plain,
    ( spl0_97
  <=> artsupplies(c_tptpartsupplies) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f6541,plain,
    ( ~ artsupplies(c_tptpartsupplies)
    | ~ spl0_101 ),
    inference(resolution,[],[f6539,f3162]) ).

fof(f3162,plain,
    ! [X0] :
      ( supplies(X0)
      | ~ artsupplies(X0) ),
    inference(cnf_transformation,[],[f2085]) ).

fof(f2085,plain,
    ! [X0] :
      ( supplies(X0)
      | ~ artsupplies(X0) ),
    inference(ennf_transformation,[],[f238]) ).

fof(f238,axiom,
    ! [X0] :
      ( artsupplies(X0)
     => supplies(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_238) ).

fof(f6539,plain,
    ( ~ supplies(c_tptpartsupplies)
    | ~ spl0_101 ),
    inference(resolution,[],[f6537,f2687]) ).

fof(f2687,plain,
    ! [X0] : ~ tptpofobject(c_tptpartsupplies,X0),
    inference(cnf_transformation,[],[f1889]) ).

fof(f1889,plain,
    ! [X0] :
      ( ~ tptpofobject(c_tptpartsupplies,X0)
      & mtvisible(c_tptp_member3717_mt) ),
    inference(ennf_transformation,[],[f1134]) ).

fof(f1134,plain,
    ~ ? [X0] :
        ( mtvisible(c_tptp_member3717_mt)
       => tptpofobject(c_tptpartsupplies,X0) ),
    inference(rectify,[],[f1133]) ).

fof(f1133,negated_conjecture,
    ~ ? [X21] :
        ( mtvisible(c_tptp_member3717_mt)
       => tptpofobject(c_tptpartsupplies,X21) ),
    inference(negated_conjecture,[],[f1132]) ).

fof(f1132,conjecture,
    ? [X21] :
      ( mtvisible(c_tptp_member3717_mt)
     => tptpofobject(c_tptpartsupplies,X21) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query106) ).

fof(f6537,plain,
    ( ! [X0] :
        ( tptpofobject(X0,f_tptpquantityfn_14(n_232))
        | ~ supplies(X0) )
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f6536]) ).

fof(f6536,plain,
    ( spl0_101
  <=> ! [X0] :
        ( tptpofobject(X0,f_tptpquantityfn_14(n_232))
        | ~ supplies(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f6538,plain,
    ( ~ spl0_25
    | spl0_101 ),
    inference(avatar_split_clause,[],[f3568,f6536,f3898]) ).

fof(f3898,plain,
    ( spl0_25
  <=> mtvisible(c_tptp_spindleheadmt) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f3568,plain,
    ! [X0] :
      ( tptpofobject(X0,f_tptpquantityfn_14(n_232))
      | ~ supplies(X0)
      | ~ mtvisible(c_tptp_spindleheadmt) ),
    inference(cnf_transformation,[],[f2499]) ).

fof(f2499,plain,
    ! [X0] :
      ( tptpofobject(X0,f_tptpquantityfn_14(n_232))
      | ~ supplies(X0)
      | ~ mtvisible(c_tptp_spindleheadmt) ),
    inference(flattening,[],[f2498]) ).

fof(f2498,plain,
    ! [X0] :
      ( tptpofobject(X0,f_tptpquantityfn_14(n_232))
      | ~ supplies(X0)
      | ~ mtvisible(c_tptp_spindleheadmt) ),
    inference(ennf_transformation,[],[f1578]) ).

fof(f1578,plain,
    ! [X0] :
      ( ( supplies(X0)
        & mtvisible(c_tptp_spindleheadmt) )
     => tptpofobject(X0,f_tptpquantityfn_14(n_232)) ),
    inference(rectify,[],[f202]) ).

fof(f202,axiom,
    ! [X9] :
      ( ( supplies(X9)
        & mtvisible(c_tptp_spindleheadmt) )
     => tptpofobject(X9,f_tptpquantityfn_14(n_232)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_202) ).

fof(f6509,plain,
    ( ~ spl0_7
    | spl0_97 ),
    inference(avatar_split_clause,[],[f3000,f6506,f3755]) ).

fof(f3755,plain,
    ( spl0_7
  <=> mtvisible(c_cyclistsmt) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f3000,plain,
    ( artsupplies(c_tptpartsupplies)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(cnf_transformation,[],[f1928]) ).

fof(f1928,plain,
    ( artsupplies(c_tptpartsupplies)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f40,axiom,
    ( mtvisible(c_cyclistsmt)
   => artsupplies(c_tptpartsupplies) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_40) ).

fof(f6494,plain,
    ( ~ spl0_25
    | spl0_7 ),
    inference(avatar_split_clause,[],[f5080,f3755,f3898]) ).

fof(f5080,plain,
    ( mtvisible(c_cyclistsmt)
    | ~ mtvisible(c_tptp_spindleheadmt) ),
    inference(resolution,[],[f3680,f2799]) ).

fof(f2799,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(cnf_transformation,[],[f254]) ).

fof(f254,axiom,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_254) ).

fof(f3680,plain,
    ! [X0,X1] :
      ( ~ genlmt(X0,X1)
      | mtvisible(X1)
      | ~ mtvisible(X0) ),
    inference(cnf_transformation,[],[f2612]) ).

fof(f2612,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ genlmt(X0,X1)
      | ~ mtvisible(X0) ),
    inference(flattening,[],[f2611]) ).

fof(f2611,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ genlmt(X0,X1)
      | ~ mtvisible(X0) ),
    inference(ennf_transformation,[],[f1717]) ).

fof(f1717,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(f6486,plain,
    spl0_94,
    inference(avatar_contradiction_clause,[],[f6485]) ).

fof(f6485,plain,
    ( $false
    | spl0_94 ),
    inference(resolution,[],[f6483,f2686]) ).

fof(f2686,plain,
    mtvisible(c_tptp_member3717_mt),
    inference(cnf_transformation,[],[f1889]) ).

fof(f6483,plain,
    ( ~ mtvisible(c_tptp_member3717_mt)
    | spl0_94 ),
    inference(avatar_component_clause,[],[f6481]) ).

fof(f6481,plain,
    ( spl0_94
  <=> mtvisible(c_tptp_member3717_mt) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f6484,plain,
    ( ~ spl0_94
    | spl0_25 ),
    inference(avatar_split_clause,[],[f5124,f3898,f6481]) ).

fof(f5124,plain,
    ( mtvisible(c_tptp_spindleheadmt)
    | ~ mtvisible(c_tptp_member3717_mt) ),
    inference(resolution,[],[f3680,f2773]) ).

fof(f2773,plain,
    genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt),
    inference(cnf_transformation,[],[f279]) ).

fof(f279,axiom,
    genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_279) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : CSR056+2 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34  % Computer : n020.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   : Fri May  3 20:19:08 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.35  % (31319)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.39  % (31322)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)
% 0.19/0.39  % (31326)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)
% 0.19/0.39  % (31324)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.19/0.39  % (31325)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.19/0.39  % (31321)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.19/0.39  % (31323)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.19/0.39  % (31320)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.19/0.41  TRYING [1]
% 0.19/0.41  TRYING [1]
% 0.19/0.42  TRYING [2]
% 0.19/0.42  TRYING [2]
% 0.19/0.42  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]
% 0.19/0.42  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]
% 0.19/0.42  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]
% 0.19/0.42  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]
% 0.19/0.42  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]
% 0.19/0.42  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]
% 0.19/0.43  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]
% 0.19/0.43  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]
% 0.19/0.43  TRYING [3]
% 0.19/0.44  TRYING [3]
% 0.19/0.44  % (31322)First to succeed.
% 0.19/0.44  % (31322)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-31319"
% 0.19/0.44  % (31322)Refutation found. Thanks to Tanya!
% 0.19/0.44  % SZS status Theorem for theBenchmark
% 0.19/0.44  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.44  % (31322)------------------------------
% 0.19/0.44  % (31322)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.19/0.44  % (31322)Termination reason: Refutation
% 0.19/0.44  
% 0.19/0.44  % (31322)Memory used [KB]: 3219
% 0.19/0.44  % (31322)Time elapsed: 0.052 s
% 0.19/0.44  % (31322)Instructions burned: 123 (million)
% 0.19/0.44  % (31319)Success in time 0.091 s
%------------------------------------------------------------------------------