TSTP Solution File: CSR030+2 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : CSR030+2 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n002.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 0.20s 0.38s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   35 (  10 unt;   0 def)
%            Number of atoms       :   64 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   53 (  24   ~;  18   |;   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(f99,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_6_388(ARG1,ARG2)
     => tptptypes_5_387(ARG1,ARG2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f133,axiom,
    genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f302,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_7_389(ARG1,ARG2)
     => tptptypes_6_388(ARG2,ARG1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f451,axiom,
    ( mtvisible(c_tptp_spindleheadmt)
   => tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f1132,conjecture,
    ? [ARG2] :
      ( mtvisible(c_tptp_member3393_mt)
     => tptptypes_5_387(ARG2,c_pushingwithopenhand) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1133,negated_conjecture,
    ~ ? [ARG2] :
        ( mtvisible(c_tptp_member3393_mt)
       => tptptypes_5_387(ARG2,c_pushingwithopenhand) ),
    inference(negated_conjecture,[status(cth)],[f1132]) ).

fof(f1275,plain,
    ! [ARG1,ARG2] :
      ( ~ tptptypes_6_388(ARG1,ARG2)
      | tptptypes_5_387(ARG1,ARG2) ),
    inference(pre_NNF_transformation,[status(esa)],[f99]) ).

fof(f1276,plain,
    ! [X0,X1] :
      ( ~ tptptypes_6_388(X0,X1)
      | tptptypes_5_387(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f1275]) ).

fof(f1328,plain,
    genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt),
    inference(cnf_transformation,[status(esa)],[f133]) ).

fof(f1575,plain,
    ! [ARG1,ARG2] :
      ( ~ tptptypes_7_389(ARG1,ARG2)
      | tptptypes_6_388(ARG2,ARG1) ),
    inference(pre_NNF_transformation,[status(esa)],[f302]) ).

fof(f1576,plain,
    ! [X0,X1] :
      ( ~ tptptypes_7_389(X0,X1)
      | tptptypes_6_388(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f1575]) ).

fof(f1791,plain,
    ( ~ mtvisible(c_tptp_spindleheadmt)
    | tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451) ),
    inference(pre_NNF_transformation,[status(esa)],[f451]) ).

fof(f1792,plain,
    ( ~ mtvisible(c_tptp_spindleheadmt)
    | tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451) ),
    inference(cnf_transformation,[status(esa)],[f1791]) ).

fof(f3181,plain,
    ! [SPECMT,GENLMT] :
      ( ~ mtvisible(SPECMT)
      | ~ genlmt(SPECMT,GENLMT)
      | mtvisible(GENLMT) ),
    inference(pre_NNF_transformation,[status(esa)],[f1123]) ).

fof(f3182,plain,
    ! [GENLMT] :
      ( ! [SPECMT] :
          ( ~ mtvisible(SPECMT)
          | ~ genlmt(SPECMT,GENLMT) )
      | mtvisible(GENLMT) ),
    inference(miniscoping,[status(esa)],[f3181]) ).

fof(f3183,plain,
    ! [X0,X1] :
      ( ~ mtvisible(X0)
      | ~ genlmt(X0,X1)
      | mtvisible(X1) ),
    inference(cnf_transformation,[status(esa)],[f3182]) ).

fof(f3204,plain,
    ! [ARG2] :
      ( mtvisible(c_tptp_member3393_mt)
      & ~ tptptypes_5_387(ARG2,c_pushingwithopenhand) ),
    inference(pre_NNF_transformation,[status(esa)],[f1133]) ).

fof(f3205,plain,
    ( mtvisible(c_tptp_member3393_mt)
    & ! [ARG2] : ~ tptptypes_5_387(ARG2,c_pushingwithopenhand) ),
    inference(miniscoping,[status(esa)],[f3204]) ).

fof(f3206,plain,
    mtvisible(c_tptp_member3393_mt),
    inference(cnf_transformation,[status(esa)],[f3205]) ).

fof(f3207,plain,
    ! [X0] : ~ tptptypes_5_387(X0,c_pushingwithopenhand),
    inference(cnf_transformation,[status(esa)],[f3205]) ).

fof(f3233,plain,
    ( spl0_7
  <=> mtvisible(c_tptp_spindleheadmt) ),
    introduced(split_symbol_definition) ).

fof(f3235,plain,
    ( ~ mtvisible(c_tptp_spindleheadmt)
    | spl0_7 ),
    inference(component_clause,[status(thm)],[f3233]) ).

fof(f3433,plain,
    ( spl0_61
  <=> tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451) ),
    introduced(split_symbol_definition) ).

fof(f3434,plain,
    ( tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451)
    | ~ spl0_61 ),
    inference(component_clause,[status(thm)],[f3433]) ).

fof(f3436,plain,
    ( ~ spl0_7
    | spl0_61 ),
    inference(split_clause,[status(thm)],[f1792,f3233,f3433]) ).

fof(f3480,plain,
    ! [X0] : ~ tptptypes_6_388(X0,c_pushingwithopenhand),
    inference(resolution,[status(thm)],[f1276,f3207]) ).

fof(f3483,plain,
    ! [X0] :
      ( ~ genlmt(c_tptp_member3393_mt,X0)
      | mtvisible(X0) ),
    inference(resolution,[status(thm)],[f3183,f3206]) ).

fof(f3484,plain,
    mtvisible(c_tptp_spindleheadmt),
    inference(resolution,[status(thm)],[f3483,f1328]) ).

fof(f3487,plain,
    ( $false
    | spl0_7 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3235,f3484]) ).

fof(f3488,plain,
    spl0_7,
    inference(contradiction_clause,[status(thm)],[f3487]) ).

fof(f3759,plain,
    ! [X0] : ~ tptptypes_7_389(c_pushingwithopenhand,X0),
    inference(resolution,[status(thm)],[f1576,f3480]) ).

fof(f3762,plain,
    ( $false
    | ~ spl0_61 ),
    inference(backward_subsumption_resolution,[status(thm)],[f3434,f3759]) ).

fof(f3763,plain,
    ~ spl0_61,
    inference(contradiction_clause,[status(thm)],[f3762]) ).

fof(f3764,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f3436,f3488,f3763]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : CSR030+2 : TPTP v8.1.2. Released v3.4.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n002.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 : Tue Apr 30 00:03:09 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.20/0.37  % Drodi V3.6.0
% 0.20/0.38  % Refutation found
% 0.20/0.38  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.38  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.40  % Elapsed time: 0.051430 seconds
% 0.20/0.40  % CPU time: 0.096680 seconds
% 0.20/0.40  % Total memory used: 20.732 MB
% 0.20/0.40  % Net memory used: 20.680 MB
%------------------------------------------------------------------------------