TSTP Solution File: CSR065+2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : CSR065+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 : n011.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 19:44:16 EDT 2024

% Result   : Theorem 0.20s 0.45s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   52 (  12 unt;   0 def)
%            Number of atoms       :  105 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   91 (  38   ~;  34   |;   5   &)
%                                         (   7 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   12 (  11 usr;   8 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-1 aty)
%            Number of variables   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f6595,plain,
    $false,
    inference(avatar_sat_refutation,[],[f6336,f6345,f6358,f6521,f6529,f6542,f6590,f6594]) ).

fof(f6594,plain,
    ( ~ spl0_100
    | ~ spl0_107 ),
    inference(avatar_contradiction_clause,[],[f6593]) ).

fof(f6593,plain,
    ( $false
    | ~ spl0_100
    | ~ spl0_107 ),
    inference(resolution,[],[f6591,f6541]) ).

fof(f6541,plain,
    ( ridgeline_topographical(c_tptpridgeline_topographical)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f6539]) ).

fof(f6539,plain,
    ( spl0_100
  <=> ridgeline_topographical(c_tptpridgeline_topographical) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f6591,plain,
    ( ~ ridgeline_topographical(c_tptpridgeline_topographical)
    | ~ spl0_107 ),
    inference(resolution,[],[f6589,f2686]) ).

fof(f2686,plain,
    ~ tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)),
    inference(cnf_transformation,[],[f1888]) ).

fof(f1888,plain,
    ( ~ tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468))
    & mtvisible(c_tptp_spindlecollectormt) ),
    inference(ennf_transformation,[],[f1133]) ).

fof(f1133,negated_conjecture,
    ~ ( mtvisible(c_tptp_spindlecollectormt)
     => tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) ),
    inference(negated_conjecture,[],[f1132]) ).

fof(f1132,conjecture,
    ( mtvisible(c_tptp_spindlecollectormt)
   => tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query115) ).

fof(f6589,plain,
    ( ! [X0] :
        ( tptpofobject(X0,f_tptpquantityfn_13(n_468))
        | ~ ridgeline_topographical(X0) )
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f6588]) ).

fof(f6588,plain,
    ( spl0_107
  <=> ! [X0] :
        ( tptpofobject(X0,f_tptpquantityfn_13(n_468))
        | ~ ridgeline_topographical(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f6590,plain,
    ( ~ spl0_29
    | spl0_107 ),
    inference(avatar_split_clause,[],[f3563,f6588,f5034]) ).

fof(f5034,plain,
    ( spl0_29
  <=> mtvisible(c_tptp_member235_mt) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f3563,plain,
    ! [X0] :
      ( tptpofobject(X0,f_tptpquantityfn_13(n_468))
      | ~ ridgeline_topographical(X0)
      | ~ mtvisible(c_tptp_member235_mt) ),
    inference(cnf_transformation,[],[f2490]) ).

fof(f2490,plain,
    ! [X0] :
      ( tptpofobject(X0,f_tptpquantityfn_13(n_468))
      | ~ ridgeline_topographical(X0)
      | ~ mtvisible(c_tptp_member235_mt) ),
    inference(flattening,[],[f2489]) ).

fof(f2489,plain,
    ! [X0] :
      ( tptpofobject(X0,f_tptpquantityfn_13(n_468))
      | ~ ridgeline_topographical(X0)
      | ~ mtvisible(c_tptp_member235_mt) ),
    inference(ennf_transformation,[],[f1573]) ).

fof(f1573,plain,
    ! [X0] :
      ( ( ridgeline_topographical(X0)
        & mtvisible(c_tptp_member235_mt) )
     => tptpofobject(X0,f_tptpquantityfn_13(n_468)) ),
    inference(rectify,[],[f105]) ).

fof(f105,axiom,
    ! [X9] :
      ( ( ridgeline_topographical(X9)
        & mtvisible(c_tptp_member235_mt) )
     => tptpofobject(X9,f_tptpquantityfn_13(n_468)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_105) ).

fof(f6542,plain,
    ( ~ spl0_7
    | spl0_100 ),
    inference(avatar_split_clause,[],[f2999,f6539,f3754]) ).

fof(f3754,plain,
    ( spl0_7
  <=> mtvisible(c_cyclistsmt) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f2999,plain,
    ( ridgeline_topographical(c_tptpridgeline_topographical)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(cnf_transformation,[],[f1927]) ).

fof(f1927,plain,
    ( ridgeline_topographical(c_tptpridgeline_topographical)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,axiom,
    ( mtvisible(c_cyclistsmt)
   => ridgeline_topographical(c_tptpridgeline_topographical) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_25) ).

fof(f6529,plain,
    ( ~ spl0_25
    | spl0_7 ),
    inference(avatar_split_clause,[],[f5079,f3754,f3897]) ).

fof(f3897,plain,
    ( spl0_25
  <=> mtvisible(c_tptp_spindleheadmt) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f5079,plain,
    ( mtvisible(c_cyclistsmt)
    | ~ mtvisible(c_tptp_spindleheadmt) ),
    inference(resolution,[],[f3679,f2798]) ).

fof(f2798,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(f3679,plain,
    ! [X0,X1] :
      ( ~ genlmt(X0,X1)
      | mtvisible(X1)
      | ~ mtvisible(X0) ),
    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(f6521,plain,
    ( ~ spl0_65
    | spl0_25 ),
    inference(avatar_split_clause,[],[f5124,f3897,f6355]) ).

fof(f6355,plain,
    ( spl0_65
  <=> mtvisible(c_tptp_member3993_mt) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f5124,plain,
    ( mtvisible(c_tptp_spindleheadmt)
    | ~ mtvisible(c_tptp_member3993_mt) ),
    inference(resolution,[],[f3679,f2772]) ).

fof(f2772,plain,
    genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
    inference(cnf_transformation,[],[f315]) ).

fof(f315,axiom,
    genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_315) ).

fof(f6358,plain,
    ( ~ spl0_63
    | spl0_65 ),
    inference(avatar_split_clause,[],[f5072,f6355,f6331]) ).

fof(f6331,plain,
    ( spl0_63
  <=> mtvisible(c_tptp_spindlecollectormt) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f5072,plain,
    ( mtvisible(c_tptp_member3993_mt)
    | ~ mtvisible(c_tptp_spindlecollectormt) ),
    inference(resolution,[],[f3679,f2786]) ).

fof(f2786,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
    inference(cnf_transformation,[],[f364]) ).

fof(f364,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_364) ).

fof(f6345,plain,
    ( ~ spl0_63
    | spl0_29 ),
    inference(avatar_split_clause,[],[f5069,f5034,f6331]) ).

fof(f5069,plain,
    ( mtvisible(c_tptp_member235_mt)
    | ~ mtvisible(c_tptp_spindlecollectormt) ),
    inference(resolution,[],[f3679,f2790]) ).

fof(f2790,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
    inference(cnf_transformation,[],[f419]) ).

fof(f419,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_419) ).

fof(f6336,plain,
    spl0_63,
    inference(avatar_contradiction_clause,[],[f6335]) ).

fof(f6335,plain,
    ( $false
    | spl0_63 ),
    inference(resolution,[],[f6333,f2685]) ).

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

fof(f6333,plain,
    ( ~ mtvisible(c_tptp_spindlecollectormt)
    | spl0_63 ),
    inference(avatar_component_clause,[],[f6331]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : CSR065+2 : TPTP v8.2.0. Released v3.4.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35  % Computer : n011.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sun May 19 01:05:23 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.36  % (19565)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.40  % (19568)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)
% 0.20/0.40  % (19567)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.40  % (19566)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.20/0.40  % (19569)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.20/0.40  % (19570)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.20/0.40  % (19571)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.20/0.40  % (19572)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)
% 0.20/0.42  TRYING [1]
% 0.20/0.42  TRYING [1]
% 0.20/0.43  TRYING [2]
% 0.20/0.43  TRYING [2]
% 0.20/0.44  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]
% 0.20/0.44  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]
% 0.20/0.44  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]
% 0.20/0.44  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]
% 0.20/0.44  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]
% 0.20/0.44  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]
% 0.20/0.44  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]
% 0.20/0.44  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]
% 0.20/0.45  % (19568)First to succeed.
% 0.20/0.45  % (19568)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19565"
% 0.20/0.45  % (19568)Refutation found. Thanks to Tanya!
% 0.20/0.45  % SZS status Theorem for theBenchmark
% 0.20/0.45  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.45  % (19568)------------------------------
% 0.20/0.45  % (19568)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.45  % (19568)Termination reason: Refutation
% 0.20/0.45  
% 0.20/0.45  % (19568)Memory used [KB]: 3251
% 0.20/0.45  % (19568)Time elapsed: 0.055 s
% 0.20/0.45  % (19568)Instructions burned: 124 (million)
% 0.20/0.45  % (19565)Success in time 0.094 s
%------------------------------------------------------------------------------