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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR066+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n016.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 12:13:21 PM UTC 2026

% Result   : Theorem 0.13s 5.44s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   28 (  10 unt;   0 def)
%            Number of atoms       :   53 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   45 (  20   ~;  14   |;   5   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-4 aty)
%            Number of variables   :   28 (  26   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f64,axiom,
    ! [TERM,INDEPCOL,PRED,DEPCOL] :
      ( ( relationexistsall(PRED,DEPCOL,INDEPCOL)
        & isa(TERM,INDEPCOL) )
     => isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f97,axiom,
    shavingrazor_manual(c_theprototypicalshavingrazor_manual),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f391,axiom,
    ! [TERM] :
      ( shavingrazor_manual(TERM)
     => tptp_8_271(f_relationexistsallfn(TERM,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),TERM) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f392,axiom,
    relationexistsall(c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f563,axiom,
    ! [X] :
      ( isa(X,c_tptpcol_16_25972)
     => tptpcol_16_25972(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f913,axiom,
    ! [X] :
      ( shavingrazor_manual(X)
     => isa(X,c_shavingrazor_manual) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1132,conjecture,
    ? [X] :
      ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_webnjiteducjohnsontreebiochhtm)),c_translation_21))
     => ( tptpcol_16_25972(X)
        & tptp_8_271(X,c_theprototypicalshavingrazor_manual) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1133,negated_conjecture,
    ~ ? [X] :
        ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_webnjiteducjohnsontreebiochhtm)),c_translation_21))
       => ( tptpcol_16_25972(X)
          & tptp_8_271(X,c_theprototypicalshavingrazor_manual) ) ),
    inference(negated_conjecture,[status(cth)],[f1132]) ).

fof(f1226,plain,
    ! [TERM,INDEPCOL,PRED,DEPCOL] :
      ( isa(f_relationexistsallfn(TERM,PRED,DEPCOL,INDEPCOL),DEPCOL)
      | ~ relationexistsall(PRED,DEPCOL,INDEPCOL)
      | ~ isa(TERM,INDEPCOL) ),
    inference(pre_NNF_transformation,[status(thm)],[f64]) ).

fof(f1227,plain,
    ! [X0,X1,X2,X3] :
      ( isa(f_relationexistsallfn(X0,X2,X3,X1),X3)
      | ~ relationexistsall(X2,X3,X1)
      | ~ isa(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f1226]) ).

fof(f1273,plain,
    shavingrazor_manual(c_theprototypicalshavingrazor_manual),
    inference(cnf_transformation,[status(thm)],[f97]) ).

fof(f1703,plain,
    ! [TERM] :
      ( tptp_8_271(f_relationexistsallfn(TERM,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),TERM)
      | ~ shavingrazor_manual(TERM) ),
    inference(pre_NNF_transformation,[status(thm)],[f391]) ).

fof(f1704,plain,
    ! [X0] :
      ( tptp_8_271(f_relationexistsallfn(X0,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),X0)
      | ~ shavingrazor_manual(X0) ),
    inference(cnf_transformation,[status(thm)],[f1703]) ).

fof(f1705,plain,
    relationexistsall(c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),
    inference(cnf_transformation,[status(thm)],[f392]) ).

fof(f1989,plain,
    ! [X] :
      ( tptpcol_16_25972(X)
      | ~ isa(X,c_tptpcol_16_25972) ),
    inference(pre_NNF_transformation,[status(thm)],[f563]) ).

fof(f1990,plain,
    ! [X0] :
      ( tptpcol_16_25972(X0)
      | ~ isa(X0,c_tptpcol_16_25972) ),
    inference(cnf_transformation,[status(thm)],[f1989]) ).

fof(f2724,plain,
    ! [X] :
      ( isa(X,c_shavingrazor_manual)
      | ~ shavingrazor_manual(X) ),
    inference(pre_NNF_transformation,[status(thm)],[f913]) ).

fof(f2725,plain,
    ! [X0] :
      ( isa(X0,c_shavingrazor_manual)
      | ~ shavingrazor_manual(X0) ),
    inference(cnf_transformation,[status(thm)],[f2724]) ).

fof(f3204,plain,
    ! [X] :
      ( ( ~ tptpcol_16_25972(X)
        | ~ tptp_8_271(X,c_theprototypicalshavingrazor_manual) )
      & mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_webnjiteducjohnsontreebiochhtm)),c_translation_21)) ),
    inference(pre_NNF_transformation,[status(thm)],[f1133]) ).

fof(f3205,plain,
    ( ! [X] :
        ( ~ tptpcol_16_25972(X)
        | ~ tptp_8_271(X,c_theprototypicalshavingrazor_manual) )
    & mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_webnjiteducjohnsontreebiochhtm)),c_translation_21)) ),
    inference(miniscoping,[status(thm)],[f3204]) ).

fof(f3207,plain,
    ! [X0] :
      ( ~ tptpcol_16_25972(X0)
      | ~ tptp_8_271(X0,c_theprototypicalshavingrazor_manual) ),
    inference(cnf_transformation,[status(thm)],[f3205]) ).

fof(f4002,plain,
    isa(c_theprototypicalshavingrazor_manual,c_shavingrazor_manual),
    inference(resolution,[status(thm)],[f2725,f1273]) ).

fof(f4006,plain,
    ! [X0,X1] :
      ( isa(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,X0,X1,c_shavingrazor_manual),X1)
      | ~ relationexistsall(X0,X1,c_shavingrazor_manual) ),
    inference(resolution,[status(thm)],[f4002,f1227]) ).

fof(f4014,plain,
    isa(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),c_tptpcol_16_25972),
    inference(resolution,[status(thm)],[f4006,f1705]) ).

fof(f4015,plain,
    tptpcol_16_25972(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual)),
    inference(resolution,[status(thm)],[f4014,f1990]) ).

fof(f4019,plain,
    ~ tptp_8_271(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),c_theprototypicalshavingrazor_manual),
    inference(resolution,[status(thm)],[f4015,f3207]) ).

fof(f4026,plain,
    ~ shavingrazor_manual(c_theprototypicalshavingrazor_manual),
    inference(resolution,[status(thm)],[f4019,f1704]) ).

fof(f4027,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f4026,f1273]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR066+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/5.35  % Computer : n016.cluster.edu
% 0.08/5.35  % Model    : x86_64 x86_64
% 0.08/5.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.35  % Memory   : 8046.5625MB
% 0.08/5.35  % OS       : Linux 6.8.0-71-generic
% 0.08/5.35  % CPULimit : 300
% 0.08/5.35  % WCLimit  : 300
% 0.08/5.35  % DateTime : Mon Sep 21 14:47:13 UTC 2026
% 0.08/5.36  % CPUTime  : 
% 0.08/5.39  % Drodi V4.1.1
% 0.13/5.44  % Refutation found
% 0.13/5.44  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/5.44  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.72/6.67  % Elapsed time: 1.095709 seconds
% 1.72/6.67  % CPU time: 0.492087 seconds
% 1.72/6.67  % Total memory used: 107.992 MB
% 1.72/6.67  % Net memory used: 107.724 MB
%------------------------------------------------------------------------------