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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR061+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n020.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 21.87s 3.38s
% Output   : CNFRefutation 14.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   38
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   84 (  54 unt;   0 def)
%            Number of atoms       :  122 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  105 (  67   ~;  30   |;   3   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;  19 con; 0-0 aty)
%            Number of variables   :   46 (  46   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f436,axiom,
    genls(c_tptpcol_14_118118,c_tptpcol_13_118117),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f467,axiom,
    genls(c_tptpcol_8_114177,c_tptpcol_7_113665),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f716,axiom,
    genls(c_tptpcol_8_117763,c_tptpcol_7_117762),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f817,axiom,
    genls(c_tptpcol_5_114690,c_tptpcol_4_114689),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f966,axiom,
    genls(c_tptpcol_7_117762,c_tptpcol_6_116738),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f976,axiom,
    genls(c_tptpcol_9_118019,c_tptpcol_8_117763),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1323,axiom,
    genls(c_tptpcol_4_114689,c_tptpcol_3_114688),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1417,axiom,
    genls(c_tptpcol_6_112641,c_tptpcol_5_110593),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1422,axiom,
    genls(c_tptpcol_10_118020,c_tptpcol_9_118019),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1914,axiom,
    genls(c_tptpcol_12_118116,c_tptpcol_11_118084),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2341,axiom,
    genls(c_tptpcol_6_116738,c_tptpcol_5_114690),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2345,axiom,
    disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2474,axiom,
    genls(c_tptpcol_4_106497,c_tptpcol_3_98305),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2515,axiom,
    genls(c_tptpcol_11_118084,c_tptpcol_10_118020),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3407,axiom,
    genls(c_tptpcol_7_113665,c_tptpcol_6_112641),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3445,axiom,
    genls(c_tptpcol_13_118117,c_tptpcol_12_118116),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4158,axiom,
    genls(c_tptpcol_5_110593,c_tptpcol_4_106497),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7584,axiom,
    ! [X,Y] :
      ( disjointwith(X,Y)
     => disjointwith(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7585,axiom,
    ! [ARG1,OLD,NEW] :
      ( ( genls(NEW,OLD)
        & disjointwith(ARG1,OLD) )
     => disjointwith(ARG1,NEW) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7586,axiom,
    ! [OLD,ARG2,NEW] :
      ( ( genls(NEW,OLD)
        & disjointwith(OLD,ARG2) )
     => disjointwith(NEW,ARG2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8006,conjecture,
    ( mtvisible(c_timehasnoendmt)
   => disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8007,negated_conjecture,
    ~ ( mtvisible(c_timehasnoendmt)
     => disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118) ),
    inference(negated_conjecture,[status(cth)],[f8006]) ).

fof(f8595,plain,
    genls(c_tptpcol_14_118118,c_tptpcol_13_118117),
    inference(cnf_transformation,[status(thm)],[f436]) ).

fof(f8637,plain,
    genls(c_tptpcol_8_114177,c_tptpcol_7_113665),
    inference(cnf_transformation,[status(thm)],[f467]) ).

fof(f8992,plain,
    genls(c_tptpcol_8_117763,c_tptpcol_7_117762),
    inference(cnf_transformation,[status(thm)],[f716]) ).

fof(f9136,plain,
    genls(c_tptpcol_5_114690,c_tptpcol_4_114689),
    inference(cnf_transformation,[status(thm)],[f817]) ).

fof(f9357,plain,
    genls(c_tptpcol_7_117762,c_tptpcol_6_116738),
    inference(cnf_transformation,[status(thm)],[f966]) ).

fof(f9373,plain,
    genls(c_tptpcol_9_118019,c_tptpcol_8_117763),
    inference(cnf_transformation,[status(thm)],[f976]) ).

fof(f9862,plain,
    genls(c_tptpcol_4_114689,c_tptpcol_3_114688),
    inference(cnf_transformation,[status(thm)],[f1323]) ).

fof(f9993,plain,
    genls(c_tptpcol_6_112641,c_tptpcol_5_110593),
    inference(cnf_transformation,[status(thm)],[f1417]) ).

fof(f9999,plain,
    genls(c_tptpcol_10_118020,c_tptpcol_9_118019),
    inference(cnf_transformation,[status(thm)],[f1422]) ).

fof(f10691,plain,
    genls(c_tptpcol_12_118116,c_tptpcol_11_118084),
    inference(cnf_transformation,[status(thm)],[f1914]) ).

fof(f11285,plain,
    genls(c_tptpcol_6_116738,c_tptpcol_5_114690),
    inference(cnf_transformation,[status(thm)],[f2341]) ).

fof(f11290,plain,
    disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688),
    inference(cnf_transformation,[status(thm)],[f2345]) ).

fof(f11467,plain,
    genls(c_tptpcol_4_106497,c_tptpcol_3_98305),
    inference(cnf_transformation,[status(thm)],[f2474]) ).

fof(f11525,plain,
    genls(c_tptpcol_11_118084,c_tptpcol_10_118020),
    inference(cnf_transformation,[status(thm)],[f2515]) ).

fof(f12774,plain,
    genls(c_tptpcol_7_113665,c_tptpcol_6_112641),
    inference(cnf_transformation,[status(thm)],[f3407]) ).

fof(f12824,plain,
    genls(c_tptpcol_13_118117,c_tptpcol_12_118116),
    inference(cnf_transformation,[status(thm)],[f3445]) ).

fof(f13816,plain,
    genls(c_tptpcol_5_110593,c_tptpcol_4_106497),
    inference(cnf_transformation,[status(thm)],[f4158]) ).

fof(f20546,plain,
    ! [X,Y] :
      ( disjointwith(Y,X)
      | ~ disjointwith(X,Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f7584]) ).

fof(f20547,plain,
    ! [X0,X1] :
      ( disjointwith(X1,X0)
      | ~ disjointwith(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f20546]) ).

fof(f20548,plain,
    ! [ARG1,OLD,NEW] :
      ( disjointwith(ARG1,NEW)
      | ~ genls(NEW,OLD)
      | ~ disjointwith(ARG1,OLD) ),
    inference(pre_NNF_transformation,[status(thm)],[f7585]) ).

fof(f20549,plain,
    ! [ARG1,NEW] :
      ( disjointwith(ARG1,NEW)
      | ! [OLD] :
          ( ~ genls(NEW,OLD)
          | ~ disjointwith(ARG1,OLD) ) ),
    inference(miniscoping,[status(thm)],[f20548]) ).

fof(f20550,plain,
    ! [X0,X1,X2] :
      ( disjointwith(X0,X2)
      | ~ genls(X2,X1)
      | ~ disjointwith(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f20549]) ).

fof(f20551,plain,
    ! [OLD,ARG2,NEW] :
      ( disjointwith(NEW,ARG2)
      | ~ genls(NEW,OLD)
      | ~ disjointwith(OLD,ARG2) ),
    inference(pre_NNF_transformation,[status(thm)],[f7586]) ).

fof(f20552,plain,
    ! [ARG2,NEW] :
      ( disjointwith(NEW,ARG2)
      | ! [OLD] :
          ( ~ genls(NEW,OLD)
          | ~ disjointwith(OLD,ARG2) ) ),
    inference(miniscoping,[status(thm)],[f20551]) ).

fof(f20553,plain,
    ! [X0,X1,X2] :
      ( disjointwith(X2,X1)
      | ~ genls(X2,X0)
      | ~ disjointwith(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f20552]) ).

fof(f21391,plain,
    ( ~ disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118)
    & mtvisible(c_timehasnoendmt) ),
    inference(pre_NNF_transformation,[status(thm)],[f8007]) ).

fof(f21393,plain,
    ~ disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118),
    inference(cnf_transformation,[status(thm)],[f21391]) ).

fof(f21397,plain,
    ! [X0] :
      ( ~ genls(c_tptpcol_14_118118,X0)
      | ~ disjointwith(c_tptpcol_8_114177,X0) ),
    inference(resolution,[status(thm)],[f20550,f21393]) ).

fof(f21401,plain,
    ~ disjointwith(c_tptpcol_8_114177,c_tptpcol_13_118117),
    inference(resolution,[status(thm)],[f21397,f8595]) ).

fof(f21406,plain,
    ! [X0] :
      ( ~ genls(c_tptpcol_8_114177,X0)
      | ~ disjointwith(X0,c_tptpcol_13_118117) ),
    inference(resolution,[status(thm)],[f21401,f20553]) ).

fof(f21413,plain,
    ~ disjointwith(c_tptpcol_7_113665,c_tptpcol_13_118117),
    inference(resolution,[status(thm)],[f21406,f8637]) ).

fof(f21417,plain,
    ! [X0] :
      ( ~ genls(c_tptpcol_7_113665,X0)
      | ~ disjointwith(X0,c_tptpcol_13_118117) ),
    inference(resolution,[status(thm)],[f21413,f20553]) ).

fof(f21811,plain,
    ~ disjointwith(c_tptpcol_6_112641,c_tptpcol_13_118117),
    inference(resolution,[status(thm)],[f12774,f21417]) ).

fof(f21817,plain,
    ! [X0] :
      ( ~ genls(c_tptpcol_6_112641,X0)
      | ~ disjointwith(X0,c_tptpcol_13_118117) ),
    inference(resolution,[status(thm)],[f21811,f20553]) ).

fof(f21828,plain,
    ~ disjointwith(c_tptpcol_5_110593,c_tptpcol_13_118117),
    inference(resolution,[status(thm)],[f21817,f9993]) ).

fof(f21835,plain,
    ~ disjointwith(c_tptpcol_13_118117,c_tptpcol_5_110593),
    inference(resolution,[status(thm)],[f21828,f20547]) ).

fof(f21841,plain,
    ! [X0] :
      ( ~ genls(c_tptpcol_13_118117,X0)
      | ~ disjointwith(X0,c_tptpcol_5_110593) ),
    inference(resolution,[status(thm)],[f21835,f20553]) ).

fof(f21847,plain,
    ~ disjointwith(c_tptpcol_12_118116,c_tptpcol_5_110593),
    inference(resolution,[status(thm)],[f12824,f21841]) ).

fof(f21855,plain,
    ! [X0] :
      ( ~ genls(c_tptpcol_12_118116,X0)
      | ~ disjointwith(X0,c_tptpcol_5_110593) ),
    inference(resolution,[status(thm)],[f21847,f20553]) ).

fof(f21893,plain,
    ~ disjointwith(c_tptpcol_11_118084,c_tptpcol_5_110593),
    inference(resolution,[status(thm)],[f21855,f10691]) ).

fof(f21896,plain,
    ! [X0] :
      ( ~ genls(c_tptpcol_11_118084,X0)
      | ~ disjointwith(X0,c_tptpcol_5_110593) ),
    inference(resolution,[status(thm)],[f21893,f20553]) ).

fof(f21958,plain,
    ~ disjointwith(c_tptpcol_10_118020,c_tptpcol_5_110593),
    inference(resolution,[status(thm)],[f21896,f11525]) ).

fof(f21959,plain,
    ! [X0] :
      ( ~ genls(c_tptpcol_10_118020,X0)
      | ~ disjointwith(X0,c_tptpcol_5_110593) ),
    inference(resolution,[status(thm)],[f21958,f20553]) ).

fof(f22024,plain,
    ~ disjointwith(c_tptpcol_9_118019,c_tptpcol_5_110593),
    inference(resolution,[status(thm)],[f21959,f9999]) ).

fof(f22025,plain,
    ! [X0] :
      ( ~ genls(c_tptpcol_9_118019,X0)
      | ~ disjointwith(X0,c_tptpcol_5_110593) ),
    inference(resolution,[status(thm)],[f22024,f20553]) ).

fof(f22079,plain,
    ~ disjointwith(c_tptpcol_8_117763,c_tptpcol_5_110593),
    inference(resolution,[status(thm)],[f22025,f9373]) ).

fof(f22080,plain,
    ! [X0] :
      ( ~ genls(c_tptpcol_8_117763,X0)
      | ~ disjointwith(X0,c_tptpcol_5_110593) ),
    inference(resolution,[status(thm)],[f22079,f20553]) ).

fof(f22123,plain,
    ~ disjointwith(c_tptpcol_7_117762,c_tptpcol_5_110593),
    inference(resolution,[status(thm)],[f22080,f8992]) ).

fof(f22124,plain,
    ! [X0] :
      ( ~ genls(c_tptpcol_7_117762,X0)
      | ~ disjointwith(X0,c_tptpcol_5_110593) ),
    inference(resolution,[status(thm)],[f22123,f20553]) ).

fof(f22163,plain,
    ~ disjointwith(c_tptpcol_6_116738,c_tptpcol_5_110593),
    inference(resolution,[status(thm)],[f22124,f9357]) ).

fof(f22166,plain,
    ! [X0] :
      ( ~ genls(c_tptpcol_6_116738,X0)
      | ~ disjointwith(X0,c_tptpcol_5_110593) ),
    inference(resolution,[status(thm)],[f22163,f20553]) ).

fof(f22201,plain,
    ~ disjointwith(c_tptpcol_5_114690,c_tptpcol_5_110593),
    inference(resolution,[status(thm)],[f22166,f11285]) ).

fof(f22204,plain,
    ! [X0] :
      ( ~ genls(c_tptpcol_5_114690,X0)
      | ~ disjointwith(X0,c_tptpcol_5_110593) ),
    inference(resolution,[status(thm)],[f22201,f20553]) ).

fof(f22240,plain,
    ~ disjointwith(c_tptpcol_4_114689,c_tptpcol_5_110593),
    inference(resolution,[status(thm)],[f22204,f9136]) ).

fof(f22243,plain,
    ! [X0] :
      ( ~ genls(c_tptpcol_4_114689,X0)
      | ~ disjointwith(X0,c_tptpcol_5_110593) ),
    inference(resolution,[status(thm)],[f22240,f20553]) ).

fof(f22278,plain,
    ~ disjointwith(c_tptpcol_3_114688,c_tptpcol_5_110593),
    inference(resolution,[status(thm)],[f22243,f9862]) ).

fof(f22283,plain,
    ~ disjointwith(c_tptpcol_5_110593,c_tptpcol_3_114688),
    inference(resolution,[status(thm)],[f22278,f20547]) ).

fof(f22288,plain,
    ! [X0] :
      ( ~ genls(c_tptpcol_5_110593,X0)
      | ~ disjointwith(X0,c_tptpcol_3_114688) ),
    inference(resolution,[status(thm)],[f22283,f20553]) ).

fof(f22596,plain,
    ~ disjointwith(c_tptpcol_4_106497,c_tptpcol_3_114688),
    inference(resolution,[status(thm)],[f13816,f22288]) ).

fof(f22689,plain,
    ! [X0] :
      ( ~ genls(c_tptpcol_4_106497,X0)
      | ~ disjointwith(X0,c_tptpcol_3_114688) ),
    inference(resolution,[status(thm)],[f22596,f20553]) ).

fof(f23112,plain,
    ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688),
    inference(resolution,[status(thm)],[f22689,f11467]) ).

fof(f23113,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f23112,f11290]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR061+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.34  % Computer : n020.cluster.edu
% 0.07/0.34  % Model    : x86_64 x86_64
% 0.07/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34  % Memory   : 8046.5625MB
% 0.07/0.34  % OS       : Linux 6.8.0-71-generic
% 0.07/0.35  % CPULimit : 300
% 0.07/0.35  % WCLimit  : 300
% 0.07/0.35  % DateTime : Mon Sep 21 14:41:03 UTC 2026
% 0.07/0.35  % CPUTime  : 
% 0.21/0.53  % Drodi V4.1.1
% 21.87/3.38  % Refutation found
% 21.87/3.38  % SZS status Theorem for theBenchmark: Theorem is valid
% 21.87/3.38  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 14.67/4.70  % Elapsed time: 4.115673 seconds
% 14.67/4.70  % CPU time: 22.441949 seconds
% 14.67/4.70  % Total memory used: 545.057 MB
% 14.67/4.70  % Net memory used: 539.141 MB
%------------------------------------------------------------------------------