TSTP Solution File: CSR070+3 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : CSR070+3 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n016.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 20:14:53 EDT 2024

% Result   : Theorem 10.36s 1.78s
% Output   : CNFRefutation 10.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   43 (   7 unt;   0 def)
%            Number of atoms       :   83 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   70 (  30   ~;  27   |;   2   &)
%                                         (   3 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   4 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-3 aty)
%            Number of variables   :   32 (  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f254,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f596,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_7_819(ARG1,ARG2)
     => tptptypes_6_818(ARG1,ARG2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f602,axiom,
    ( mtvisible(c_tptp_member2668_mt)
   => tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1876,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_6_818(ARG1,ARG2)
     => tptptypes_5_802(ARG1,ARG2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2254,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_9_824(ARG1,ARG2)
     => tptptypes_8_823(ARG1,ARG2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2522,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_8_823(ARG1,ARG2)
     => tptptypes_7_819(ARG1,ARG2) ),
    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,
    ( mtvisible(c_tptp_spindlecollectormt)
   => tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8007,negated_conjecture,
    ~ ( mtvisible(c_tptp_spindlecollectormt)
     => tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    inference(negated_conjecture,[status(cth)],[f8006]) ).

fof(f8347,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
    inference(cnf_transformation,[status(esa)],[f254]) ).

fof(f8818,plain,
    ! [ARG1,ARG2] :
      ( ~ tptptypes_7_819(ARG1,ARG2)
      | tptptypes_6_818(ARG1,ARG2) ),
    inference(pre_NNF_transformation,[status(esa)],[f596]) ).

fof(f8819,plain,
    ! [X0,X1] :
      ( ~ tptptypes_7_819(X0,X1)
      | tptptypes_6_818(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f8818]) ).

fof(f8826,plain,
    ( ~ mtvisible(c_tptp_member2668_mt)
    | tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    inference(pre_NNF_transformation,[status(esa)],[f602]) ).

fof(f8827,plain,
    ( ~ mtvisible(c_tptp_member2668_mt)
    | tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    inference(cnf_transformation,[status(esa)],[f8826]) ).

fof(f10634,plain,
    ! [ARG1,ARG2] :
      ( ~ tptptypes_6_818(ARG1,ARG2)
      | tptptypes_5_802(ARG1,ARG2) ),
    inference(pre_NNF_transformation,[status(esa)],[f1876]) ).

fof(f10635,plain,
    ! [X0,X1] :
      ( ~ tptptypes_6_818(X0,X1)
      | tptptypes_5_802(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f10634]) ).

fof(f11169,plain,
    ! [ARG1,ARG2] :
      ( ~ tptptypes_9_824(ARG1,ARG2)
      | tptptypes_8_823(ARG1,ARG2) ),
    inference(pre_NNF_transformation,[status(esa)],[f2254]) ).

fof(f11170,plain,
    ! [X0,X1] :
      ( ~ tptptypes_9_824(X0,X1)
      | tptptypes_8_823(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f11169]) ).

fof(f11535,plain,
    ! [ARG1,ARG2] :
      ( ~ tptptypes_8_823(ARG1,ARG2)
      | tptptypes_7_819(ARG1,ARG2) ),
    inference(pre_NNF_transformation,[status(esa)],[f2522]) ).

fof(f11536,plain,
    ! [X0,X1] :
      ( ~ tptptypes_8_823(X0,X1)
      | tptptypes_7_819(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f11535]) ).

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,
    ( mtvisible(c_tptp_spindlecollectormt)
    & ~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    inference(pre_NNF_transformation,[status(esa)],[f8007]) ).

fof(f21392,plain,
    mtvisible(c_tptp_spindlecollectormt),
    inference(cnf_transformation,[status(esa)],[f21391]) ).

fof(f21393,plain,
    ~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(cnf_transformation,[status(esa)],[f21391]) ).

fof(f21805,plain,
    ( spl0_111
  <=> mtvisible(c_tptp_member2668_mt) ),
    introduced(split_symbol_definition) ).

fof(f21808,plain,
    ( spl0_112
  <=> tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    introduced(split_symbol_definition) ).

fof(f21809,plain,
    ( tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    | ~ spl0_112 ),
    inference(component_clause,[status(thm)],[f21808]) ).

fof(f21811,plain,
    ( ~ spl0_111
    | spl0_112 ),
    inference(split_clause,[status(thm)],[f8827,f21805,f21808]) ).

fof(f24812,plain,
    ( spl0_872
  <=> mtvisible(c_tptp_spindlecollectormt) ),
    introduced(split_symbol_definition) ).

fof(f24814,plain,
    ( ~ mtvisible(c_tptp_spindlecollectormt)
    | spl0_872 ),
    inference(component_clause,[status(thm)],[f24812]) ).

fof(f24817,plain,
    ( $false
    | spl0_872 ),
    inference(forward_subsumption_resolution,[status(thm)],[f24814,f21392]) ).

fof(f24818,plain,
    spl0_872,
    inference(contradiction_clause,[status(thm)],[f24817]) ).

fof(f25078,plain,
    ( ~ mtvisible(c_tptp_spindlecollectormt)
    | mtvisible(c_tptp_member2668_mt) ),
    inference(resolution,[status(thm)],[f8347,f21370]) ).

fof(f25079,plain,
    ( ~ spl0_872
    | spl0_111 ),
    inference(split_clause,[status(thm)],[f25078,f24812,f21805]) ).

fof(f29224,plain,
    ( tptptypes_8_823(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    | ~ spl0_112 ),
    inference(resolution,[status(thm)],[f11170,f21809]) ).

fof(f29776,plain,
    ( tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    | ~ spl0_112 ),
    inference(resolution,[status(thm)],[f11536,f29224]) ).

fof(f29778,plain,
    ( tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    | ~ spl0_112 ),
    inference(resolution,[status(thm)],[f29776,f8819]) ).

fof(f29780,plain,
    ( tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    | ~ spl0_112 ),
    inference(resolution,[status(thm)],[f29778,f10635]) ).

fof(f29781,plain,
    ( $false
    | ~ spl0_112 ),
    inference(forward_subsumption_resolution,[status(thm)],[f29780,f21393]) ).

fof(f29782,plain,
    ~ spl0_112,
    inference(contradiction_clause,[status(thm)],[f29781]) ).

fof(f29783,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f21811,f24818,f25079,f29782]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : CSR070+3 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n016.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 00:35:25 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.19/0.47  % Drodi V3.6.0
% 10.36/1.78  % Refutation found
% 10.36/1.78  % SZS status Theorem for theBenchmark: Theorem is valid
% 10.36/1.78  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 10.89/1.86  % Elapsed time: 1.508953 seconds
% 10.89/1.86  % CPU time: 10.688260 seconds
% 10.89/1.86  % Total memory used: 429.618 MB
% 10.89/1.86  % Net memory used: 426.844 MB
%------------------------------------------------------------------------------