TSTP Solution File: CSR030+3 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : CSR030+3 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n007.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 : Tue Apr 30 20:14:25 EDT 2024

% Result   : Theorem 0.83s 0.62s
% Output   : CNFRefutation 1.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   35 (   8 unt;   0 def)
%            Number of atoms       :   66 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   55 (  24   ~;  20   |;   3   &)
%                                         (   2 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   3 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   28 (  26   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f900,axiom,
    ( mtvisible(c_tptp_spindleheadmt)
   => tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1143,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_6_388(ARG1,ARG2)
     => tptptypes_5_387(ARG1,ARG2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1462,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_7_389(ARG1,ARG2)
     => tptptypes_6_388(ARG2,ARG1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2434,axiom,
    genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7997,axiom,
    ! [SPECMT,GENLMT] :
      ( ( mtvisible(SPECMT)
        & genlmt(SPECMT,GENLMT) )
     => mtvisible(GENLMT) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8006,conjecture,
    ? [ARG2] :
      ( mtvisible(c_tptp_member3393_mt)
     => tptptypes_5_387(ARG2,c_pushingwithopenhand) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8007,negated_conjecture,
    ~ ? [ARG2] :
        ( mtvisible(c_tptp_member3393_mt)
       => tptptypes_5_387(ARG2,c_pushingwithopenhand) ),
    inference(negated_conjecture,[status(cth)],[f8006]) ).

fof(f9263,plain,
    ( ~ mtvisible(c_tptp_spindleheadmt)
    | tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451) ),
    inference(pre_NNF_transformation,[status(esa)],[f900]) ).

fof(f9264,plain,
    ( ~ mtvisible(c_tptp_spindleheadmt)
    | tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451) ),
    inference(cnf_transformation,[status(esa)],[f9263]) ).

fof(f9607,plain,
    ! [ARG1,ARG2] :
      ( ~ tptptypes_6_388(ARG1,ARG2)
      | tptptypes_5_387(ARG1,ARG2) ),
    inference(pre_NNF_transformation,[status(esa)],[f1143]) ).

fof(f9608,plain,
    ! [X0,X1] :
      ( ~ tptptypes_6_388(X0,X1)
      | tptptypes_5_387(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f9607]) ).

fof(f10057,plain,
    ! [ARG1,ARG2] :
      ( ~ tptptypes_7_389(ARG1,ARG2)
      | tptptypes_6_388(ARG2,ARG1) ),
    inference(pre_NNF_transformation,[status(esa)],[f1462]) ).

fof(f10058,plain,
    ! [X0,X1] :
      ( ~ tptptypes_7_389(X0,X1)
      | tptptypes_6_388(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f10057]) ).

fof(f11414,plain,
    genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt),
    inference(cnf_transformation,[status(esa)],[f2434]) ).

fof(f21368,plain,
    ! [SPECMT,GENLMT] :
      ( ~ mtvisible(SPECMT)
      | ~ genlmt(SPECMT,GENLMT)
      | mtvisible(GENLMT) ),
    inference(pre_NNF_transformation,[status(esa)],[f7997]) ).

fof(f21369,plain,
    ! [GENLMT] :
      ( ! [SPECMT] :
          ( ~ mtvisible(SPECMT)
          | ~ genlmt(SPECMT,GENLMT) )
      | mtvisible(GENLMT) ),
    inference(miniscoping,[status(esa)],[f21368]) ).

fof(f21370,plain,
    ! [X0,X1] :
      ( ~ mtvisible(X0)
      | ~ genlmt(X0,X1)
      | mtvisible(X1) ),
    inference(cnf_transformation,[status(esa)],[f21369]) ).

fof(f21391,plain,
    ! [ARG2] :
      ( mtvisible(c_tptp_member3393_mt)
      & ~ tptptypes_5_387(ARG2,c_pushingwithopenhand) ),
    inference(pre_NNF_transformation,[status(esa)],[f8007]) ).

fof(f21392,plain,
    ( mtvisible(c_tptp_member3393_mt)
    & ! [ARG2] : ~ tptptypes_5_387(ARG2,c_pushingwithopenhand) ),
    inference(miniscoping,[status(esa)],[f21391]) ).

fof(f21393,plain,
    mtvisible(c_tptp_member3393_mt),
    inference(cnf_transformation,[status(esa)],[f21392]) ).

fof(f21394,plain,
    ! [X0] : ~ tptptypes_5_387(X0,c_pushingwithopenhand),
    inference(cnf_transformation,[status(esa)],[f21392]) ).

fof(f21481,plain,
    ( spl0_24
  <=> mtvisible(c_tptp_spindleheadmt) ),
    introduced(split_symbol_definition) ).

fof(f21483,plain,
    ( ~ mtvisible(c_tptp_spindleheadmt)
    | spl0_24 ),
    inference(component_clause,[status(thm)],[f21481]) ).

fof(f22136,plain,
    ( spl0_199
  <=> tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451) ),
    introduced(split_symbol_definition) ).

fof(f22137,plain,
    ( tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451)
    | ~ spl0_199 ),
    inference(component_clause,[status(thm)],[f22136]) ).

fof(f22139,plain,
    ( ~ spl0_24
    | spl0_199 ),
    inference(split_clause,[status(thm)],[f9264,f21481,f22136]) ).

fof(f24604,plain,
    ! [X0] :
      ( ~ genlmt(c_tptp_member3393_mt,X0)
      | mtvisible(X0) ),
    inference(resolution,[status(thm)],[f21370,f21393]) ).

fof(f24605,plain,
    mtvisible(c_tptp_spindleheadmt),
    inference(resolution,[status(thm)],[f24604,f11414]) ).

fof(f24609,plain,
    ( $false
    | spl0_24 ),
    inference(forward_subsumption_resolution,[status(thm)],[f21483,f24605]) ).

fof(f24610,plain,
    spl0_24,
    inference(contradiction_clause,[status(thm)],[f24609]) ).

fof(f24945,plain,
    ! [X0,X1] :
      ( ~ tptptypes_7_389(X0,X1)
      | tptptypes_5_387(X1,X0) ),
    inference(resolution,[status(thm)],[f10058,f9608]) ).

fof(f24946,plain,
    ( tptptypes_5_387(c_tptpcol_16_4451,c_pushingwithopenhand)
    | ~ spl0_199 ),
    inference(resolution,[status(thm)],[f24945,f22137]) ).

fof(f24947,plain,
    ( $false
    | ~ spl0_199 ),
    inference(forward_subsumption_resolution,[status(thm)],[f24946,f21394]) ).

fof(f24948,plain,
    ~ spl0_199,
    inference(contradiction_clause,[status(thm)],[f24947]) ).

fof(f24949,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f22139,f24610,f24948]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : CSR030+3 : TPTP v8.1.2. Released v3.4.0.
% 0.11/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.35  % Computer : n007.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit : 300
% 0.12/0.35  % WCLimit  : 300
% 0.12/0.35  % DateTime : Mon Apr 29 23:50:32 EDT 2024
% 0.12/0.35  % CPUTime  : 
% 0.18/0.49  % Drodi V3.6.0
% 0.83/0.62  % Refutation found
% 0.83/0.62  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.83/0.62  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.29/0.73  % Elapsed time: 0.345375 seconds
% 1.29/0.73  % CPU time: 1.273865 seconds
% 1.29/0.73  % Total memory used: 375.484 MB
% 1.29/0.73  % Net memory used: 374.181 MB
%------------------------------------------------------------------------------