TSTP Solution File: CSR070+4 by Drodi---3.6.0

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%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : CSR070+4 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n021.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 47.57s 6.87s
% Output   : CNFRefutation 49.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   42 (   9 unt;   0 def)
%            Number of atoms       :   80 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   69 (  31   ~;  26   |;   2   &)
%                                         (   2 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   3 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-3 aty)
%            Number of variables   :   35 (  35   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5897,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_7_819(ARG1,ARG2)
     => tptptypes_6_818(ARG1,ARG2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6690,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_6_818(ARG1,ARG2)
     => tptptypes_5_802(ARG1,ARG2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8455,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f13383,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_8_823(ARG1,ARG2)
     => tptptypes_7_819(ARG1,ARG2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f21032,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(f21996,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_9_824(ARG1,ARG2)
     => tptptypes_8_823(ARG1,ARG2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f44208,axiom,
    ! [SPECMT,GENLMT] :
      ( ( mtvisible(SPECMT)
        & genlmt(SPECMT,GENLMT) )
     => mtvisible(GENLMT) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f44217,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(f44218,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)],[f44217]) ).

fof(f51621,plain,
    ! [ARG1,ARG2] :
      ( ~ tptptypes_7_819(ARG1,ARG2)
      | tptptypes_6_818(ARG1,ARG2) ),
    inference(pre_NNF_transformation,[status(esa)],[f5897]) ).

fof(f51622,plain,
    ! [X0,X1] :
      ( ~ tptptypes_7_819(X0,X1)
      | tptptypes_6_818(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f51621]) ).

fof(f52611,plain,
    ! [ARG1,ARG2] :
      ( ~ tptptypes_6_818(ARG1,ARG2)
      | tptptypes_5_802(ARG1,ARG2) ),
    inference(pre_NNF_transformation,[status(esa)],[f6690]) ).

fof(f52612,plain,
    ! [X0,X1] :
      ( ~ tptptypes_6_818(X0,X1)
      | tptptypes_5_802(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f52611]) ).

fof(f54881,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
    inference(cnf_transformation,[status(esa)],[f8455]) ).

fof(f61002,plain,
    ! [ARG1,ARG2] :
      ( ~ tptptypes_8_823(ARG1,ARG2)
      | tptptypes_7_819(ARG1,ARG2) ),
    inference(pre_NNF_transformation,[status(esa)],[f13383]) ).

fof(f61003,plain,
    ! [X0,X1] :
      ( ~ tptptypes_8_823(X0,X1)
      | tptptypes_7_819(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f61002]) ).

fof(f70616,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)],[f21032]) ).

fof(f70617,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)],[f70616]) ).

fof(f71823,plain,
    ! [ARG1,ARG2] :
      ( ~ tptptypes_9_824(ARG1,ARG2)
      | tptptypes_8_823(ARG1,ARG2) ),
    inference(pre_NNF_transformation,[status(esa)],[f21996]) ).

fof(f71824,plain,
    ! [X0,X1] :
      ( ~ tptptypes_9_824(X0,X1)
      | tptptypes_8_823(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f71823]) ).

fof(f110715,plain,
    ! [SPECMT,GENLMT] :
      ( ~ mtvisible(SPECMT)
      | ~ genlmt(SPECMT,GENLMT)
      | mtvisible(GENLMT) ),
    inference(pre_NNF_transformation,[status(esa)],[f44208]) ).

fof(f110716,plain,
    ! [GENLMT] :
      ( ! [SPECMT] :
          ( ~ mtvisible(SPECMT)
          | ~ genlmt(SPECMT,GENLMT) )
      | mtvisible(GENLMT) ),
    inference(miniscoping,[status(esa)],[f110715]) ).

fof(f110717,plain,
    ! [X0,X1] :
      ( ~ mtvisible(X0)
      | ~ genlmt(X0,X1)
      | mtvisible(X1) ),
    inference(cnf_transformation,[status(esa)],[f110716]) ).

fof(f110738,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)],[f44218]) ).

fof(f110739,plain,
    mtvisible(c_tptp_spindlecollectormt),
    inference(cnf_transformation,[status(esa)],[f110738]) ).

fof(f110740,plain,
    ~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(cnf_transformation,[status(esa)],[f110738]) ).

fof(f116033,plain,
    ( spl0_1363
  <=> mtvisible(c_tptp_member2668_mt) ),
    introduced(split_symbol_definition) ).

fof(f116035,plain,
    ( ~ mtvisible(c_tptp_member2668_mt)
    | spl0_1363 ),
    inference(component_clause,[status(thm)],[f116033]) ).

fof(f116036,plain,
    ( spl0_1364
  <=> tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    introduced(split_symbol_definition) ).

fof(f116037,plain,
    ( tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    | ~ spl0_1364 ),
    inference(component_clause,[status(thm)],[f116036]) ).

fof(f116039,plain,
    ( ~ spl0_1363
    | spl0_1364 ),
    inference(split_clause,[status(thm)],[f70617,f116033,f116036]) ).

fof(f118219,plain,
    ~ tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(resolution,[status(thm)],[f52612,f110740]) ).

fof(f118220,plain,
    ! [X0] :
      ( ~ mtvisible(X0)
      | ~ genlmt(X0,c_tptp_member2668_mt)
      | spl0_1363 ),
    inference(resolution,[status(thm)],[f116035,f110717]) ).

fof(f118247,plain,
    ( ~ mtvisible(c_tptp_spindlecollectormt)
    | spl0_1363 ),
    inference(resolution,[status(thm)],[f54881,f118220]) ).

fof(f118248,plain,
    ( $false
    | spl0_1363 ),
    inference(forward_subsumption_resolution,[status(thm)],[f118247,f110739]) ).

fof(f118249,plain,
    spl0_1363,
    inference(contradiction_clause,[status(thm)],[f118248]) ).

fof(f118331,plain,
    ~ tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(resolution,[status(thm)],[f51622,f118219]) ).

fof(f118353,plain,
    ! [X0,X1] :
      ( ~ tptptypes_9_824(X0,X1)
      | tptptypes_7_819(X0,X1) ),
    inference(resolution,[status(thm)],[f71824,f61003]) ).

fof(f118460,plain,
    ( tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    | ~ spl0_1364 ),
    inference(resolution,[status(thm)],[f118353,f116037]) ).

fof(f118461,plain,
    ( $false
    | ~ spl0_1364 ),
    inference(forward_subsumption_resolution,[status(thm)],[f118460,f118331]) ).

fof(f118462,plain,
    ~ spl0_1364,
    inference(contradiction_clause,[status(thm)],[f118461]) ).

fof(f118463,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f116039,f118249,f118462]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : CSR070+4 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32  % Computer : n021.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Tue Apr 30 00:03:25 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.69/0.90  % Drodi V3.6.0
% 47.57/6.87  % Refutation found
% 47.57/6.87  % SZS status Theorem for theBenchmark: Theorem is valid
% 47.57/6.87  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 50.43/7.27  % Elapsed time: 6.903542 seconds
% 50.43/7.27  % CPU time: 48.664157 seconds
% 50.43/7.27  % Total memory used: 1.931 GB
% 50.43/7.27  % Net memory used: 1.922 GB
%------------------------------------------------------------------------------