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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR062+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n001.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 12:13:19 PM UTC 2026

% Result   : Theorem 64.82s 9.46s
% Output   : CNFRefutation 58.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   35 (   8 unt;   0 def)
%            Number of atoms       :   71 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   70 (  34   ~;  26   |;   3   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 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   :   39 (  37   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f86,axiom,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6288,axiom,
    genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6493,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_7_389(ARG1,ARG2)
     => tptptypes_6_388(ARG2,ARG1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10910,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_8_390(ARG1,ARG2)
     => tptptypes_7_389(ARG1,ARG2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11228,axiom,
    ( mtvisible(c_cyclistsmt)
   => tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11372,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_6_388(ARG1,ARG2)
     => tptptypes_5_387(ARG1,ARG2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f44217,conjecture,
    ? [ARG1] :
      ( mtvisible(c_tptp_member3205_mt)
     => tptptypes_5_387(ARG1,c_pushingwithfingers) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f44218,negated_conjecture,
    ~ ? [ARG1] :
        ( mtvisible(c_tptp_member3205_mt)
       => tptptypes_5_387(ARG1,c_pushingwithfingers) ),
    inference(negated_conjecture,[status(cth)],[f44217]) ).

fof(f44322,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(cnf_transformation,[status(thm)],[f86]) ).

fof(f52123,plain,
    genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
    inference(cnf_transformation,[status(thm)],[f6288]) ).

fof(f52373,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_6_388(ARG2,ARG1)
      | ~ tptptypes_7_389(ARG1,ARG2) ),
    inference(pre_NNF_transformation,[status(thm)],[f6493]) ).

fof(f52374,plain,
    ! [X0,X1] :
      ( tptptypes_6_388(X1,X0)
      | ~ tptptypes_7_389(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f52373]) ).

fof(f57908,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_7_389(ARG1,ARG2)
      | ~ tptptypes_8_390(ARG1,ARG2) ),
    inference(pre_NNF_transformation,[status(thm)],[f10910]) ).

fof(f57909,plain,
    ! [X0,X1] :
      ( tptptypes_7_389(X0,X1)
      | ~ tptptypes_8_390(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f57908]) ).

fof(f58302,plain,
    ( tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(pre_NNF_transformation,[status(thm)],[f11228]) ).

fof(f58303,plain,
    ( tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(cnf_transformation,[status(thm)],[f58302]) ).

fof(f58493,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_5_387(ARG1,ARG2)
      | ~ tptptypes_6_388(ARG1,ARG2) ),
    inference(pre_NNF_transformation,[status(thm)],[f11372]) ).

fof(f58494,plain,
    ! [X0,X1] :
      ( tptptypes_5_387(X0,X1)
      | ~ tptptypes_6_388(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f58493]) ).

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,
    ! [ARG1] :
      ( ~ tptptypes_5_387(ARG1,c_pushingwithfingers)
      & mtvisible(c_tptp_member3205_mt) ),
    inference(pre_NNF_transformation,[status(thm)],[f44218]) ).

fof(f110739,plain,
    ( ! [ARG1] : ~ tptptypes_5_387(ARG1,c_pushingwithfingers)
    & mtvisible(c_tptp_member3205_mt) ),
    inference(miniscoping,[status(thm)],[f110738]) ).

fof(f110740,plain,
    mtvisible(c_tptp_member3205_mt),
    inference(cnf_transformation,[status(thm)],[f110739]) ).

fof(f110741,plain,
    ! [X0] : ~ tptptypes_5_387(X0,c_pushingwithfingers),
    inference(cnf_transformation,[status(thm)],[f110739]) ).

fof(f111491,plain,
    ! [X0] :
      ( ~ genlmt(X0,c_cyclistsmt)
      | ~ mtvisible(X0)
      | tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ),
    inference(resolution,[status(thm)],[f58303,f110717]) ).

fof(f111492,plain,
    ! [X0] :
      ( tptptypes_7_389(c_pushingwithfingers,c_tptpcol_15_4027)
      | ~ genlmt(X0,c_cyclistsmt)
      | ~ mtvisible(X0) ),
    inference(resolution,[status(thm)],[f111491,f57909]) ).

fof(f111493,plain,
    ! [X0] :
      ( tptptypes_6_388(c_tptpcol_15_4027,c_pushingwithfingers)
      | ~ genlmt(X0,c_cyclistsmt)
      | ~ mtvisible(X0) ),
    inference(resolution,[status(thm)],[f111492,f52374]) ).

fof(f111494,plain,
    ! [X0] :
      ( tptptypes_5_387(c_tptpcol_15_4027,c_pushingwithfingers)
      | ~ genlmt(X0,c_cyclistsmt)
      | ~ mtvisible(X0) ),
    inference(resolution,[status(thm)],[f111493,f58494]) ).

fof(f111495,plain,
    ! [X0] :
      ( ~ genlmt(X0,c_cyclistsmt)
      | ~ mtvisible(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f111494,f110741]) ).

fof(f111504,plain,
    ! [X0,X1] :
      ( ~ genlmt(X1,X0)
      | ~ mtvisible(X1)
      | ~ genlmt(X0,c_cyclistsmt) ),
    inference(resolution,[status(thm)],[f111495,f110717]) ).

fof(f111512,plain,
    ! [X0] :
      ( ~ genlmt(c_tptp_member3205_mt,X0)
      | ~ genlmt(X0,c_cyclistsmt) ),
    inference(resolution,[status(thm)],[f111504,f110740]) ).

fof(f111522,plain,
    ~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(resolution,[status(thm)],[f111512,f52123]) ).

fof(f111523,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f111522,f44322]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR062+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37  % Computer : n001.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Mon Sep 21 14:46:29 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 1.05/1.33  % Drodi V4.1.1
% 64.82/9.46  % Refutation found
% 64.82/9.46  % SZS status Theorem for theBenchmark: Theorem is valid
% 64.82/9.46  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.87/9.90  % Elapsed time: 9.479906 seconds
% 2.87/9.90  % CPU time: 66.237584 seconds
% 2.87/9.90  % Total memory used: 2.044 GB
% 2.87/9.90  % Net memory used: 2.038 GB
%------------------------------------------------------------------------------