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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR070+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 12:13:24 PM UTC 2026

% Result   : Theorem 0.12s 0.40s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   34 (   6 unt;   0 def)
%            Number of atoms       :   71 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   69 (  32   ~;  27   |;   2   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-3 aty)
%            Number of variables   :   38 (  38   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_6_818(ARG1,ARG2)
     => tptptypes_5_802(ARG1,ARG2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_7_819(ARG1,ARG2)
     => tptptypes_6_818(ARG1,ARG2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_8_823(ARG1,ARG2)
     => tptptypes_7_819(ARG1,ARG2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f14,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_9_824(ARG1,ARG2)
     => tptptypes_8_823(ARG1,ARG2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f19,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(f57,axiom,
    ! [SPECMT,GENLMT] :
      ( ( genlmt(SPECMT,GENLMT)
        & mtvisible(SPECMT) )
     => mtvisible(GENLMT) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f80,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(f81,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)],[f80]) ).

fof(f89,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_5_802(ARG1,ARG2)
      | ~ tptptypes_6_818(ARG1,ARG2) ),
    inference(pre_NNF_transformation,[status(thm)],[f8]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( tptptypes_5_802(X0,X1)
      | ~ tptptypes_6_818(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f89]) ).

fof(f92,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_6_818(ARG1,ARG2)
      | ~ tptptypes_7_819(ARG1,ARG2) ),
    inference(pre_NNF_transformation,[status(thm)],[f10]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( tptptypes_6_818(X0,X1)
      | ~ tptptypes_7_819(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f92]) ).

fof(f95,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_7_819(ARG1,ARG2)
      | ~ tptptypes_8_823(ARG1,ARG2) ),
    inference(pre_NNF_transformation,[status(thm)],[f12]) ).

fof(f96,plain,
    ! [X0,X1] :
      ( tptptypes_7_819(X0,X1)
      | ~ tptptypes_8_823(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f95]) ).

fof(f98,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_8_823(ARG1,ARG2)
      | ~ tptptypes_9_824(ARG1,ARG2) ),
    inference(pre_NNF_transformation,[status(thm)],[f14]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( tptptypes_8_823(X0,X1)
      | ~ tptptypes_9_824(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f98]) ).

fof(f101,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
    inference(cnf_transformation,[status(thm)],[f16]) ).

fof(f104,plain,
    ( tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    | ~ mtvisible(c_tptp_member2668_mt) ),
    inference(pre_NNF_transformation,[status(thm)],[f19]) ).

fof(f105,plain,
    ( tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    | ~ mtvisible(c_tptp_member2668_mt) ),
    inference(cnf_transformation,[status(thm)],[f104]) ).

fof(f196,plain,
    ! [SPECMT,GENLMT] :
      ( mtvisible(GENLMT)
      | ~ genlmt(SPECMT,GENLMT)
      | ~ mtvisible(SPECMT) ),
    inference(pre_NNF_transformation,[status(thm)],[f57]) ).

fof(f197,plain,
    ! [GENLMT] :
      ( mtvisible(GENLMT)
      | ! [SPECMT] :
          ( ~ genlmt(SPECMT,GENLMT)
          | ~ mtvisible(SPECMT) ) ),
    inference(miniscoping,[status(thm)],[f196]) ).

fof(f198,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ genlmt(X0,X1)
      | ~ mtvisible(X0) ),
    inference(cnf_transformation,[status(thm)],[f197]) ).

fof(f257,plain,
    ( ~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    & mtvisible(c_tptp_spindlecollectormt) ),
    inference(pre_NNF_transformation,[status(thm)],[f81]) ).

fof(f258,plain,
    mtvisible(c_tptp_spindlecollectormt),
    inference(cnf_transformation,[status(thm)],[f257]) ).

fof(f259,plain,
    ~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(cnf_transformation,[status(thm)],[f257]) ).

fof(f260,plain,
    ! [X0] :
      ( ~ genlmt(X0,c_tptp_member2668_mt)
      | ~ mtvisible(X0)
      | tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    inference(resolution,[status(thm)],[f105,f198]) ).

fof(f261,plain,
    ! [X0] :
      ( tptptypes_8_823(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
      | ~ genlmt(X0,c_tptp_member2668_mt)
      | ~ mtvisible(X0) ),
    inference(resolution,[status(thm)],[f260,f99]) ).

fof(f262,plain,
    ! [X0] :
      ( tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
      | ~ genlmt(X0,c_tptp_member2668_mt)
      | ~ mtvisible(X0) ),
    inference(resolution,[status(thm)],[f261,f96]) ).

fof(f263,plain,
    ! [X0] :
      ( tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
      | ~ genlmt(X0,c_tptp_member2668_mt)
      | ~ mtvisible(X0) ),
    inference(resolution,[status(thm)],[f262,f93]) ).

fof(f264,plain,
    ! [X0] :
      ( tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
      | ~ genlmt(X0,c_tptp_member2668_mt)
      | ~ mtvisible(X0) ),
    inference(resolution,[status(thm)],[f263,f90]) ).

fof(f265,plain,
    ! [X0] :
      ( ~ genlmt(X0,c_tptp_member2668_mt)
      | ~ mtvisible(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f264,f259]) ).

fof(f266,plain,
    ~ mtvisible(c_tptp_spindlecollectormt),
    inference(resolution,[status(thm)],[f265,f101]) ).

fof(f267,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f266,f258]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR070+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36  % Computer : n026.cluster.edu
% 0.12/0.36  % Model    : x86_64 x86_64
% 0.12/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36  % Memory   : 8046.5625MB
% 0.12/0.36  % OS       : Linux 6.8.0-71-generic
% 0.12/0.36  % CPULimit : 300
% 0.12/0.36  % WCLimit  : 300
% 0.12/0.36  % DateTime : Mon Sep 21 14:47:36 UTC 2026
% 0.12/0.37  % CPUTime  : 
% 0.12/0.38  % Drodi V4.1.1
% 0.12/0.40  % Refutation found
% 0.12/0.40  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.40  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.43  % Elapsed time: 0.048251 seconds
% 0.12/0.43  % CPU time: 0.138548 seconds
% 0.12/0.43  % Total memory used: 57.756 MB
% 0.12/0.43  % Net memory used: 57.728 MB
%------------------------------------------------------------------------------