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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR070+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n011.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 92.79s 18.26s
% Output   : CNFRefutation 90.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   34 (  11 unt;   0 def)
%            Number of atoms       :   61 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   47 (  20   ~;  17   |;   2   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 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   :   32 (  32   !;   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] :
      ( ( genlmt(SPECMT,GENLMT)
        & mtvisible(SPECMT) )
     => 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_6_818(ARG1,ARG2)
      | ~ tptptypes_7_819(ARG1,ARG2) ),
    inference(pre_NNF_transformation,[status(thm)],[f5897]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f110894,plain,
    ( mtvisible(c_tptp_member2668_mt)
    | ~ mtvisible(c_tptp_spindlecollectormt) ),
    inference(resolution,[status(thm)],[f54881,f110717]) ).

fof(f110895,plain,
    mtvisible(c_tptp_member2668_mt),
    inference(forward_subsumption_resolution,[status(thm)],[f110894,f110739]) ).

fof(f110896,plain,
    tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(backward_subsumption_resolution,[status(thm)],[f70617,f110895]) ).

fof(f113257,plain,
    tptptypes_8_823(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(resolution,[status(thm)],[f71824,f110896]) ).

fof(f113260,plain,
    tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(resolution,[status(thm)],[f113257,f61003]) ).

fof(f113261,plain,
    tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(resolution,[status(thm)],[f113260,f51622]) ).

fof(f113262,plain,
    tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(resolution,[status(thm)],[f113261,f52612]) ).

fof(f113263,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f113262,f110740]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : CSR070+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/5.46  % Computer : n011.cluster.edu
% 0.16/5.46  % Model    : x86_64 x86_64
% 0.16/5.46  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.46  % Memory   : 8046.5625MB
% 0.16/5.46  % OS       : Linux 6.8.0-71-generic
% 0.16/5.46  % CPULimit : 300
% 0.16/5.46  % WCLimit  : 300
% 0.16/5.46  % DateTime : Mon Sep 21 14:44:48 UTC 2026
% 0.16/5.46  % CPUTime  : 
% 1.04/6.42  % Drodi V4.1.1
% 92.79/18.26  % Refutation found
% 92.79/18.26  % SZS status Theorem for theBenchmark: Theorem is valid
% 92.79/18.26  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 15.60/18.66  % Elapsed time: 13.147666 seconds
% 15.60/18.66  % CPU time: 95.639997 seconds
% 15.60/18.66  % Total memory used: 2.070 GB
% 15.60/18.66  % Net memory used: 2.064 GB
%------------------------------------------------------------------------------