TSTP Solution File: CSR062+2 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : CSR062+2 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n029.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 20:14:47 EDT 2024

% Result   : Theorem 0.15s 0.39s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   43 (  14 unt;   0 def)
%            Number of atoms       :   76 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   61 (  28   ~;  21   |;   3   &)
%                                         (   2 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   3 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   36 (  34   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f34,axiom,
    genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f61,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_8_390(ARG1,ARG2)
     => tptptypes_7_389(ARG1,ARG2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f99,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_6_388(ARG1,ARG2)
     => tptptypes_5_387(ARG1,ARG2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f254,axiom,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    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(f460,axiom,
    ( mtvisible(c_cyclistsmt)
   => tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ),
    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,
    ? [ARG1] :
      ( mtvisible(c_tptp_member3205_mt)
     => tptptypes_5_387(ARG1,c_pushingwithfingers) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1133,negated_conjecture,
    ~ ? [ARG1] :
        ( mtvisible(c_tptp_member3205_mt)
       => tptptypes_5_387(ARG1,c_pushingwithfingers) ),
    inference(negated_conjecture,[status(cth)],[f1132]) ).

fof(f1184,plain,
    genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
    inference(cnf_transformation,[status(esa)],[f34]) ).

fof(f1222,plain,
    ! [ARG1,ARG2] :
      ( ~ tptptypes_8_390(ARG1,ARG2)
      | tptptypes_7_389(ARG1,ARG2) ),
    inference(pre_NNF_transformation,[status(esa)],[f61]) ).

fof(f1223,plain,
    ! [X0,X1] :
      ( ~ tptptypes_8_390(X0,X1)
      | tptptypes_7_389(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f1222]) ).

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(f1504,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(cnf_transformation,[status(esa)],[f254]) ).

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(f1804,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ),
    inference(pre_NNF_transformation,[status(esa)],[f460]) ).

fof(f1805,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ),
    inference(cnf_transformation,[status(esa)],[f1804]) ).

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,
    ! [ARG1] :
      ( mtvisible(c_tptp_member3205_mt)
      & ~ tptptypes_5_387(ARG1,c_pushingwithfingers) ),
    inference(pre_NNF_transformation,[status(esa)],[f1133]) ).

fof(f3205,plain,
    ( mtvisible(c_tptp_member3205_mt)
    & ! [ARG1] : ~ tptptypes_5_387(ARG1,c_pushingwithfingers) ),
    inference(miniscoping,[status(esa)],[f3204]) ).

fof(f3206,plain,
    mtvisible(c_tptp_member3205_mt),
    inference(cnf_transformation,[status(esa)],[f3205]) ).

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

fof(f3215,plain,
    ( spl0_2
  <=> mtvisible(c_cyclistsmt) ),
    introduced(split_symbol_definition) ).

fof(f3217,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | spl0_2 ),
    inference(component_clause,[status(thm)],[f3215]) ).

fof(f3441,plain,
    ( spl0_63
  <=> tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ),
    introduced(split_symbol_definition) ).

fof(f3442,plain,
    ( tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027)
    | ~ spl0_63 ),
    inference(component_clause,[status(thm)],[f3441]) ).

fof(f3444,plain,
    ( ~ spl0_2
    | spl0_63 ),
    inference(split_clause,[status(thm)],[f1805,f3215,f3441]) ).

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

fof(f3483,plain,
    ! [X0] :
      ( ~ genlmt(c_tptp_member3205_mt,X0)
      | mtvisible(X0) ),
    inference(resolution,[status(thm)],[f3183,f3206]) ).

fof(f3484,plain,
    mtvisible(c_tptp_spindleheadmt),
    inference(resolution,[status(thm)],[f3483,f1184]) ).

fof(f3485,plain,
    ! [X0] :
      ( ~ genlmt(c_tptp_spindleheadmt,X0)
      | mtvisible(X0) ),
    inference(resolution,[status(thm)],[f3484,f3183]) ).

fof(f3602,plain,
    mtvisible(c_cyclistsmt),
    inference(resolution,[status(thm)],[f1504,f3485]) ).

fof(f3603,plain,
    ( $false
    | spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3602,f3217]) ).

fof(f3604,plain,
    spl0_2,
    inference(contradiction_clause,[status(thm)],[f3603]) ).

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

fof(f3762,plain,
    ! [X0] : ~ tptptypes_8_390(c_pushingwithfingers,X0),
    inference(resolution,[status(thm)],[f3759,f1223]) ).

fof(f3763,plain,
    ( $false
    | ~ spl0_63 ),
    inference(backward_subsumption_resolution,[status(thm)],[f3442,f3762]) ).

fof(f3764,plain,
    ~ spl0_63,
    inference(contradiction_clause,[status(thm)],[f3763]) ).

fof(f3765,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f3444,f3604,f3764]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : CSR062+2 : TPTP v8.1.2. Released v3.4.0.
% 0.08/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.15/0.35  % Computer : n029.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Tue Apr 30 00:09:50 EDT 2024
% 0.15/0.35  % CPUTime  : 
% 0.15/0.38  % Drodi V3.6.0
% 0.15/0.39  % Refutation found
% 0.15/0.39  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.39  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.22/0.41  % Elapsed time: 0.052153 seconds
% 0.22/0.41  % CPU time: 0.099523 seconds
% 0.22/0.41  % Total memory used: 23.010 MB
% 0.22/0.41  % Net memory used: 22.951 MB
%------------------------------------------------------------------------------