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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR062+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n003.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 12:13:18 PM UTC 2026

% Result   : Theorem 0.50s 0.95s
% Output   : CNFRefutation 0.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   35 (  12 unt;   0 def)
%            Number of atoms       :   62 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   48 (  21   ~;  17   |;   3   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   35 (  33   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f968,axiom,
    ( mtvisible(c_cyclistsmt)
   => tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1143,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_6_388(ARG1,ARG2)
     => tptptypes_5_387(ARG1,ARG2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1462,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_7_389(ARG1,ARG2)
     => tptptypes_6_388(ARG2,ARG1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2187,axiom,
    genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2531,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_8_390(ARG1,ARG2)
     => tptptypes_7_389(ARG1,ARG2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4288,axiom,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7997,axiom,
    ! [SPECMT,GENLMT] :
      ( ( genlmt(SPECMT,GENLMT)
        & mtvisible(SPECMT) )
     => mtvisible(GENLMT) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8006,conjecture,
    ? [ARG1] :
      ( mtvisible(c_tptp_member3205_mt)
     => tptptypes_5_387(ARG1,c_pushingwithfingers) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8007,negated_conjecture,
    ~ ? [ARG1] :
        ( mtvisible(c_tptp_member3205_mt)
       => tptptypes_5_387(ARG1,c_pushingwithfingers) ),
    inference(negated_conjecture,[status(cth)],[f8006]) ).

fof(f9360,plain,
    ( tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(pre_NNF_transformation,[status(thm)],[f968]) ).

fof(f9361,plain,
    ( tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(cnf_transformation,[status(thm)],[f9360]) ).

fof(f9607,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_5_387(ARG1,ARG2)
      | ~ tptptypes_6_388(ARG1,ARG2) ),
    inference(pre_NNF_transformation,[status(thm)],[f1143]) ).

fof(f9608,plain,
    ! [X0,X1] :
      ( tptptypes_5_387(X0,X1)
      | ~ tptptypes_6_388(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f9607]) ).

fof(f10057,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_6_388(ARG2,ARG1)
      | ~ tptptypes_7_389(ARG1,ARG2) ),
    inference(pre_NNF_transformation,[status(thm)],[f1462]) ).

fof(f10058,plain,
    ! [X0,X1] :
      ( tptptypes_6_388(X1,X0)
      | ~ tptptypes_7_389(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f10057]) ).

fof(f11077,plain,
    genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
    inference(cnf_transformation,[status(thm)],[f2187]) ).

fof(f11548,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_7_389(ARG1,ARG2)
      | ~ tptptypes_8_390(ARG1,ARG2) ),
    inference(pre_NNF_transformation,[status(thm)],[f2531]) ).

fof(f11549,plain,
    ! [X0,X1] :
      ( tptptypes_7_389(X0,X1)
      | ~ tptptypes_8_390(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f11548]) ).

fof(f14003,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(cnf_transformation,[status(thm)],[f4288]) ).

fof(f21368,plain,
    ! [SPECMT,GENLMT] :
      ( mtvisible(GENLMT)
      | ~ genlmt(SPECMT,GENLMT)
      | ~ mtvisible(SPECMT) ),
    inference(pre_NNF_transformation,[status(thm)],[f7997]) ).

fof(f21369,plain,
    ! [GENLMT] :
      ( mtvisible(GENLMT)
      | ! [SPECMT] :
          ( ~ genlmt(SPECMT,GENLMT)
          | ~ mtvisible(SPECMT) ) ),
    inference(miniscoping,[status(thm)],[f21368]) ).

fof(f21370,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ genlmt(X0,X1)
      | ~ mtvisible(X0) ),
    inference(cnf_transformation,[status(thm)],[f21369]) ).

fof(f21391,plain,
    ! [ARG1] :
      ( ~ tptptypes_5_387(ARG1,c_pushingwithfingers)
      & mtvisible(c_tptp_member3205_mt) ),
    inference(pre_NNF_transformation,[status(thm)],[f8007]) ).

fof(f21392,plain,
    ( ! [ARG1] : ~ tptptypes_5_387(ARG1,c_pushingwithfingers)
    & mtvisible(c_tptp_member3205_mt) ),
    inference(miniscoping,[status(thm)],[f21391]) ).

fof(f21393,plain,
    mtvisible(c_tptp_member3205_mt),
    inference(cnf_transformation,[status(thm)],[f21392]) ).

fof(f21394,plain,
    ! [X0] : ~ tptptypes_5_387(X0,c_pushingwithfingers),
    inference(cnf_transformation,[status(thm)],[f21392]) ).

fof(f21395,plain,
    ! [X0] :
      ( mtvisible(X0)
      | ~ genlmt(c_tptp_member3205_mt,X0) ),
    inference(resolution,[status(thm)],[f21370,f21393]) ).

fof(f21396,plain,
    mtvisible(c_tptp_spindleheadmt),
    inference(resolution,[status(thm)],[f21395,f11077]) ).

fof(f21398,plain,
    ! [X0] :
      ( mtvisible(X0)
      | ~ genlmt(c_tptp_spindleheadmt,X0) ),
    inference(resolution,[status(thm)],[f21396,f21370]) ).

fof(f21892,plain,
    ! [X0,X1] :
      ( tptptypes_5_387(X1,X0)
      | ~ tptptypes_7_389(X0,X1) ),
    inference(resolution,[status(thm)],[f10058,f9608]) ).

fof(f22301,plain,
    mtvisible(c_cyclistsmt),
    inference(resolution,[status(thm)],[f14003,f21398]) ).

fof(f22318,plain,
    tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027),
    inference(backward_subsumption_resolution,[status(thm)],[f9361,f22301]) ).

fof(f22553,plain,
    tptptypes_7_389(c_pushingwithfingers,c_tptpcol_15_4027),
    inference(resolution,[status(thm)],[f11549,f22318]) ).

fof(f22554,plain,
    tptptypes_5_387(c_tptpcol_15_4027,c_pushingwithfingers),
    inference(resolution,[status(thm)],[f22553,f21892]) ).

fof(f22555,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f22554,f21394]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR062+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.39  % Computer : n003.cluster.edu
% 0.14/0.39  % Model    : x86_64 x86_64
% 0.14/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39  % Memory   : 8046.5625MB
% 0.14/0.39  % OS       : Linux 6.8.0-71-generic
% 0.14/0.39  % CPULimit : 300
% 0.14/0.39  % WCLimit  : 300
% 0.14/0.39  % DateTime : Mon Sep 21 14:42:31 UTC 2026
% 0.14/0.39  % CPUTime  : 
% 0.34/0.65  % Drodi V4.1.1
% 0.50/0.95  % Refutation found
% 0.50/0.95  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.50/0.95  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.65/2.20  % Elapsed time: 1.571846 seconds
% 3.65/2.20  % CPU time: 2.660874 seconds
% 3.65/2.20  % Total memory used: 406.969 MB
% 3.65/2.20  % Net memory used: 405.464 MB
%------------------------------------------------------------------------------