TSTP Solution File: CSR070+2 by Drodi---3.6.0

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%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : CSR070+2 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n024.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 20:14:52 EDT 2024

% Result   : Theorem 0.20s 0.37s
% Output   : CNFRefutation 0.20s
% 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(f139,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_7_819(ARG1,ARG2)
     => tptptypes_6_818(ARG1,ARG2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f178,axiom,
    ( mtvisible(c_tptp_member2668_mt)
   => tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f271,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_8_823(ARG1,ARG2)
     => tptptypes_7_819(ARG1,ARG2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f350,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f416,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_6_818(ARG1,ARG2)
     => tptptypes_5_802(ARG1,ARG2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f427,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_9_824(ARG1,ARG2)
     => tptptypes_8_823(ARG1,ARG2) ),
    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,
    ( mtvisible(c_tptp_spindlecollectormt)
   => tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1133,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)],[f1132]) ).

fof(f1334,plain,
    ! [ARG1,ARG2] :
      ( ~ tptptypes_7_819(ARG1,ARG2)
      | tptptypes_6_818(ARG1,ARG2) ),
    inference(pre_NNF_transformation,[status(esa)],[f139]) ).

fof(f1335,plain,
    ! [X0,X1] :
      ( ~ tptptypes_7_819(X0,X1)
      | tptptypes_6_818(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f1334]) ).

fof(f1393,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)],[f178]) ).

fof(f1394,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)],[f1393]) ).

fof(f1528,plain,
    ! [ARG1,ARG2] :
      ( ~ tptptypes_8_823(ARG1,ARG2)
      | tptptypes_7_819(ARG1,ARG2) ),
    inference(pre_NNF_transformation,[status(esa)],[f271]) ).

fof(f1529,plain,
    ! [X0,X1] :
      ( ~ tptptypes_8_823(X0,X1)
      | tptptypes_7_819(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f1528]) ).

fof(f1643,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
    inference(cnf_transformation,[status(esa)],[f350]) ).

fof(f1739,plain,
    ! [ARG1,ARG2] :
      ( ~ tptptypes_6_818(ARG1,ARG2)
      | tptptypes_5_802(ARG1,ARG2) ),
    inference(pre_NNF_transformation,[status(esa)],[f416]) ).

fof(f1740,plain,
    ! [X0,X1] :
      ( ~ tptptypes_6_818(X0,X1)
      | tptptypes_5_802(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f1739]) ).

fof(f1755,plain,
    ! [ARG1,ARG2] :
      ( ~ tptptypes_9_824(ARG1,ARG2)
      | tptptypes_8_823(ARG1,ARG2) ),
    inference(pre_NNF_transformation,[status(esa)],[f427]) ).

fof(f1756,plain,
    ! [X0,X1] :
      ( ~ tptptypes_9_824(X0,X1)
      | tptptypes_8_823(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f1755]) ).

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,
    ( 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)],[f1133]) ).

fof(f3205,plain,
    mtvisible(c_tptp_spindlecollectormt),
    inference(cnf_transformation,[status(esa)],[f3204]) ).

fof(f3206,plain,
    ~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(cnf_transformation,[status(esa)],[f3204]) ).

fof(f3323,plain,
    ( spl0_32
  <=> mtvisible(c_tptp_member2668_mt) ),
    introduced(split_symbol_definition) ).

fof(f3326,plain,
    ( spl0_33
  <=> tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    introduced(split_symbol_definition) ).

fof(f3327,plain,
    ( tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    | ~ spl0_33 ),
    inference(component_clause,[status(thm)],[f3326]) ).

fof(f3329,plain,
    ( ~ spl0_32
    | spl0_33 ),
    inference(split_clause,[status(thm)],[f1394,f3323,f3326]) ).

fof(f3487,plain,
    ( spl0_75
  <=> mtvisible(c_tptp_spindlecollectormt) ),
    introduced(split_symbol_definition) ).

fof(f3489,plain,
    ( ~ mtvisible(c_tptp_spindlecollectormt)
    | spl0_75 ),
    inference(component_clause,[status(thm)],[f3487]) ).

fof(f3492,plain,
    ( $false
    | spl0_75 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3489,f3205]) ).

fof(f3493,plain,
    spl0_75,
    inference(contradiction_clause,[status(thm)],[f3492]) ).

fof(f3964,plain,
    ( ~ mtvisible(c_tptp_spindlecollectormt)
    | mtvisible(c_tptp_member2668_mt) ),
    inference(resolution,[status(thm)],[f1643,f3183]) ).

fof(f3965,plain,
    ( ~ spl0_75
    | spl0_32 ),
    inference(split_clause,[status(thm)],[f3964,f3487,f3323]) ).

fof(f4233,plain,
    ( tptptypes_8_823(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    | ~ spl0_33 ),
    inference(resolution,[status(thm)],[f1756,f3327]) ).

fof(f4234,plain,
    ( tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    | ~ spl0_33 ),
    inference(resolution,[status(thm)],[f4233,f1529]) ).

fof(f4235,plain,
    ( tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    | ~ spl0_33 ),
    inference(resolution,[status(thm)],[f4234,f1335]) ).

fof(f4277,plain,
    ( tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    | ~ spl0_33 ),
    inference(resolution,[status(thm)],[f4235,f1740]) ).

fof(f4278,plain,
    ( $false
    | ~ spl0_33 ),
    inference(forward_subsumption_resolution,[status(thm)],[f4277,f3206]) ).

fof(f4279,plain,
    ~ spl0_33,
    inference(contradiction_clause,[status(thm)],[f4278]) ).

fof(f4280,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f3329,f3493,f3965,f4279]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : CSR070+2 : TPTP v8.1.2. Released v3.4.0.
% 0.03/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33  % Computer : n024.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Mon Apr 29 23:40:51 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.20/0.36  % Drodi V3.6.0
% 0.20/0.37  % Refutation found
% 0.20/0.37  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.39  % Elapsed time: 0.052135 seconds
% 0.20/0.39  % CPU time: 0.102298 seconds
% 0.20/0.39  % Total memory used: 21.417 MB
% 0.20/0.39  % Net memory used: 21.325 MB
%------------------------------------------------------------------------------