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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR061+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 12:13:18 PM UTC 2026

% Result   : Theorem 226.04s 30.03s
% Output   : CNFRefutation 197.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   36
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   79 (  52 unt;   0 def)
%            Number of atoms       :  114 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   98 (  63   ~;  28   |;   3   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 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   :   40 (  40   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1986,axiom,
    genls(c_tptpcol_11_118084,c_tptpcol_10_118020),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2507,axiom,
    genls(c_tptpcol_13_118117,c_tptpcol_12_118116),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3846,axiom,
    genls(c_tptpcol_7_113665,c_tptpcol_6_112641),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4144,axiom,
    genls(c_tptpcol_5_110593,c_tptpcol_4_106497),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4831,axiom,
    genls(c_tptpcol_8_114177,c_tptpcol_7_113665),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5741,axiom,
    genls(c_tptpcol_12_118116,c_tptpcol_11_118084),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5948,axiom,
    genls(c_tptpcol_4_106497,c_tptpcol_3_98305),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6167,axiom,
    genls(c_tptpcol_5_114690,c_tptpcol_4_114689),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7346,axiom,
    disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7877,axiom,
    genls(c_tptpcol_8_117763,c_tptpcol_7_117762),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f14093,axiom,
    genls(c_tptpcol_6_116738,c_tptpcol_5_114690),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f14208,axiom,
    genls(c_tptpcol_6_112641,c_tptpcol_5_110593),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f15257,axiom,
    genls(c_tptpcol_4_114689,c_tptpcol_3_114688),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16171,axiom,
    genls(c_tptpcol_14_118118,c_tptpcol_13_118117),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f19275,axiom,
    genls(c_tptpcol_9_118019,c_tptpcol_8_117763),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f25817,axiom,
    genls(c_tptpcol_10_118020,c_tptpcol_9_118019),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f25872,axiom,
    genls(c_tptpcol_7_117762,c_tptpcol_6_116738),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f41387,axiom,
    ! [ARG1,OLD,NEW] :
      ( ( genls(NEW,OLD)
        & disjointwith(ARG1,OLD) )
     => disjointwith(ARG1,NEW) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f41388,axiom,
    ! [OLD,ARG2,NEW] :
      ( ( genls(NEW,OLD)
        & disjointwith(OLD,ARG2) )
     => disjointwith(NEW,ARG2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f44217,conjecture,
    ( mtvisible(c_timehasnoendmt)
   => disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f44218,negated_conjecture,
    ~ ( mtvisible(c_timehasnoendmt)
     => disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118) ),
    inference(negated_conjecture,[status(cth)],[f44217]) ).

fof(f46704,plain,
    genls(c_tptpcol_11_118084,c_tptpcol_10_118020),
    inference(cnf_transformation,[status(thm)],[f1986]) ).

fof(f47348,plain,
    genls(c_tptpcol_13_118117,c_tptpcol_12_118116),
    inference(cnf_transformation,[status(thm)],[f2507]) ).

fof(f49032,plain,
    genls(c_tptpcol_7_113665,c_tptpcol_6_112641),
    inference(cnf_transformation,[status(thm)],[f3846]) ).

fof(f49412,plain,
    genls(c_tptpcol_5_110593,c_tptpcol_4_106497),
    inference(cnf_transformation,[status(thm)],[f4144]) ).

fof(f50284,plain,
    genls(c_tptpcol_8_114177,c_tptpcol_7_113665),
    inference(cnf_transformation,[status(thm)],[f4831]) ).

fof(f51424,plain,
    genls(c_tptpcol_12_118116,c_tptpcol_11_118084),
    inference(cnf_transformation,[status(thm)],[f5741]) ).

fof(f51689,plain,
    genls(c_tptpcol_4_106497,c_tptpcol_3_98305),
    inference(cnf_transformation,[status(thm)],[f5948]) ).

fof(f51974,plain,
    genls(c_tptpcol_5_114690,c_tptpcol_4_114689),
    inference(cnf_transformation,[status(thm)],[f6167]) ).

fof(f53447,plain,
    disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688),
    inference(cnf_transformation,[status(thm)],[f7346]) ).

fof(f54154,plain,
    genls(c_tptpcol_8_117763,c_tptpcol_7_117762),
    inference(cnf_transformation,[status(thm)],[f7877]) ).

fof(f61908,plain,
    genls(c_tptpcol_6_116738,c_tptpcol_5_114690),
    inference(cnf_transformation,[status(thm)],[f14093]) ).

fof(f62052,plain,
    genls(c_tptpcol_6_112641,c_tptpcol_5_110593),
    inference(cnf_transformation,[status(thm)],[f14208]) ).

fof(f63383,plain,
    genls(c_tptpcol_4_114689,c_tptpcol_3_114688),
    inference(cnf_transformation,[status(thm)],[f15257]) ).

fof(f64519,plain,
    genls(c_tptpcol_14_118118,c_tptpcol_13_118117),
    inference(cnf_transformation,[status(thm)],[f16171]) ).

fof(f68412,plain,
    genls(c_tptpcol_9_118019,c_tptpcol_8_117763),
    inference(cnf_transformation,[status(thm)],[f19275]) ).

fof(f76612,plain,
    genls(c_tptpcol_10_118020,c_tptpcol_9_118019),
    inference(cnf_transformation,[status(thm)],[f25817]) ).

fof(f76680,plain,
    genls(c_tptpcol_7_117762,c_tptpcol_6_116738),
    inference(cnf_transformation,[status(thm)],[f25872]) ).

fof(f105181,plain,
    ! [ARG1,OLD,NEW] :
      ( disjointwith(ARG1,NEW)
      | ~ genls(NEW,OLD)
      | ~ disjointwith(ARG1,OLD) ),
    inference(pre_NNF_transformation,[status(thm)],[f41387]) ).

fof(f105182,plain,
    ! [ARG1,NEW] :
      ( disjointwith(ARG1,NEW)
      | ! [OLD] :
          ( ~ genls(NEW,OLD)
          | ~ disjointwith(ARG1,OLD) ) ),
    inference(miniscoping,[status(thm)],[f105181]) ).

fof(f105183,plain,
    ! [X0,X1,X2] :
      ( disjointwith(X0,X2)
      | ~ genls(X2,X1)
      | ~ disjointwith(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f105182]) ).

fof(f105184,plain,
    ! [OLD,ARG2,NEW] :
      ( disjointwith(NEW,ARG2)
      | ~ genls(NEW,OLD)
      | ~ disjointwith(OLD,ARG2) ),
    inference(pre_NNF_transformation,[status(thm)],[f41388]) ).

fof(f105185,plain,
    ! [ARG2,NEW] :
      ( disjointwith(NEW,ARG2)
      | ! [OLD] :
          ( ~ genls(NEW,OLD)
          | ~ disjointwith(OLD,ARG2) ) ),
    inference(miniscoping,[status(thm)],[f105184]) ).

fof(f105186,plain,
    ! [X0,X1,X2] :
      ( disjointwith(X2,X1)
      | ~ genls(X2,X0)
      | ~ disjointwith(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f105185]) ).

fof(f110738,plain,
    ( ~ disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118)
    & mtvisible(c_timehasnoendmt) ),
    inference(pre_NNF_transformation,[status(thm)],[f44218]) ).

fof(f110740,plain,
    ~ disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118),
    inference(cnf_transformation,[status(thm)],[f110738]) ).

fof(f118222,plain,
    ! [X0] :
      ( ~ genls(c_tptpcol_14_118118,X0)
      | ~ disjointwith(c_tptpcol_8_114177,X0) ),
    inference(resolution,[status(thm)],[f105183,f110740]) ).

fof(f118225,plain,
    ~ disjointwith(c_tptpcol_8_114177,c_tptpcol_13_118117),
    inference(resolution,[status(thm)],[f118222,f64519]) ).

fof(f118228,plain,
    ! [X0] :
      ( ~ genls(c_tptpcol_13_118117,X0)
      | ~ disjointwith(c_tptpcol_8_114177,X0) ),
    inference(resolution,[status(thm)],[f118225,f105183]) ).

fof(f118254,plain,
    ~ disjointwith(c_tptpcol_8_114177,c_tptpcol_12_118116),
    inference(resolution,[status(thm)],[f47348,f118228]) ).

fof(f118259,plain,
    ! [X0] :
      ( ~ genls(c_tptpcol_12_118116,X0)
      | ~ disjointwith(c_tptpcol_8_114177,X0) ),
    inference(resolution,[status(thm)],[f118254,f105183]) ).

fof(f125869,plain,
    ~ disjointwith(c_tptpcol_8_114177,c_tptpcol_11_118084),
    inference(resolution,[status(thm)],[f51424,f118259]) ).

fof(f125876,plain,
    ! [X0] :
      ( ~ genls(c_tptpcol_11_118084,X0)
      | ~ disjointwith(c_tptpcol_8_114177,X0) ),
    inference(resolution,[status(thm)],[f125869,f105183]) ).

fof(f125881,plain,
    ~ disjointwith(c_tptpcol_8_114177,c_tptpcol_10_118020),
    inference(resolution,[status(thm)],[f125876,f46704]) ).

fof(f125999,plain,
    ! [X0] :
      ( ~ genls(c_tptpcol_10_118020,X0)
      | ~ disjointwith(c_tptpcol_8_114177,X0) ),
    inference(resolution,[status(thm)],[f125881,f105183]) ).

fof(f139396,plain,
    ~ disjointwith(c_tptpcol_8_114177,c_tptpcol_9_118019),
    inference(resolution,[status(thm)],[f76612,f125999]) ).

fof(f139401,plain,
    ! [X0] :
      ( ~ genls(c_tptpcol_9_118019,X0)
      | ~ disjointwith(c_tptpcol_8_114177,X0) ),
    inference(resolution,[status(thm)],[f139396,f105183]) ).

fof(f139406,plain,
    ~ disjointwith(c_tptpcol_8_114177,c_tptpcol_8_117763),
    inference(resolution,[status(thm)],[f139401,f68412]) ).

fof(f139532,plain,
    ! [X0] :
      ( ~ genls(c_tptpcol_8_117763,X0)
      | ~ disjointwith(c_tptpcol_8_114177,X0) ),
    inference(resolution,[status(thm)],[f139406,f105183]) ).

fof(f139534,plain,
    ~ disjointwith(c_tptpcol_8_114177,c_tptpcol_7_117762),
    inference(resolution,[status(thm)],[f139532,f54154]) ).

fof(f139572,plain,
    ! [X0] :
      ( ~ genls(c_tptpcol_7_117762,X0)
      | ~ disjointwith(c_tptpcol_8_114177,X0) ),
    inference(resolution,[status(thm)],[f139534,f105183]) ).

fof(f139574,plain,
    ~ disjointwith(c_tptpcol_8_114177,c_tptpcol_6_116738),
    inference(resolution,[status(thm)],[f139572,f76680]) ).

fof(f140112,plain,
    ! [X0] :
      ( ~ genls(c_tptpcol_6_116738,X0)
      | ~ disjointwith(c_tptpcol_8_114177,X0) ),
    inference(resolution,[status(thm)],[f139574,f105183]) ).

fof(f140115,plain,
    ~ disjointwith(c_tptpcol_8_114177,c_tptpcol_5_114690),
    inference(resolution,[status(thm)],[f140112,f61908]) ).

fof(f140306,plain,
    ! [X0] :
      ( ~ genls(c_tptpcol_5_114690,X0)
      | ~ disjointwith(c_tptpcol_8_114177,X0) ),
    inference(resolution,[status(thm)],[f140115,f105183]) ).

fof(f140309,plain,
    ~ disjointwith(c_tptpcol_8_114177,c_tptpcol_4_114689),
    inference(resolution,[status(thm)],[f140306,f51974]) ).

fof(f140600,plain,
    ! [X0] :
      ( ~ genls(c_tptpcol_4_114689,X0)
      | ~ disjointwith(c_tptpcol_8_114177,X0) ),
    inference(resolution,[status(thm)],[f140309,f105183]) ).

fof(f140606,plain,
    ~ disjointwith(c_tptpcol_8_114177,c_tptpcol_3_114688),
    inference(resolution,[status(thm)],[f140600,f63383]) ).

fof(f140741,plain,
    ! [X0] :
      ( ~ genls(c_tptpcol_8_114177,X0)
      | ~ disjointwith(X0,c_tptpcol_3_114688) ),
    inference(resolution,[status(thm)],[f140606,f105186]) ).

fof(f141338,plain,
    ~ disjointwith(c_tptpcol_7_113665,c_tptpcol_3_114688),
    inference(resolution,[status(thm)],[f140741,f50284]) ).

fof(f141392,plain,
    ! [X0] :
      ( ~ genls(c_tptpcol_7_113665,X0)
      | ~ disjointwith(X0,c_tptpcol_3_114688) ),
    inference(resolution,[status(thm)],[f141338,f105186]) ).

fof(f142379,plain,
    ~ disjointwith(c_tptpcol_6_112641,c_tptpcol_3_114688),
    inference(resolution,[status(thm)],[f141392,f49032]) ).

fof(f143206,plain,
    ! [X0] :
      ( ~ genls(c_tptpcol_6_112641,X0)
      | ~ disjointwith(X0,c_tptpcol_3_114688) ),
    inference(resolution,[status(thm)],[f142379,f105186]) ).

fof(f143524,plain,
    ~ disjointwith(c_tptpcol_5_110593,c_tptpcol_3_114688),
    inference(resolution,[status(thm)],[f143206,f62052]) ).

fof(f143947,plain,
    ! [X0] :
      ( ~ genls(c_tptpcol_5_110593,X0)
      | ~ disjointwith(X0,c_tptpcol_3_114688) ),
    inference(resolution,[status(thm)],[f143524,f105186]) ).

fof(f147532,plain,
    ~ disjointwith(c_tptpcol_4_106497,c_tptpcol_3_114688),
    inference(resolution,[status(thm)],[f143947,f49412]) ).

fof(f147741,plain,
    ! [X0] :
      ( ~ genls(c_tptpcol_4_106497,X0)
      | ~ disjointwith(X0,c_tptpcol_3_114688) ),
    inference(resolution,[status(thm)],[f147532,f105186]) ).

fof(f148169,plain,
    ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688),
    inference(resolution,[status(thm)],[f147741,f51689]) ).

fof(f148171,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f148169,f53447]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR061+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.38  % Computer : n001.cluster.edu
% 0.09/0.38  % Model    : x86_64 x86_64
% 0.09/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38  % Memory   : 8046.5625MB
% 0.09/0.38  % OS       : Linux 6.8.0-71-generic
% 0.09/0.38  % CPULimit : 300
% 0.09/0.38  % WCLimit  : 300
% 0.09/0.38  % DateTime : Mon Sep 21 14:45:45 UTC 2026
% 0.09/0.38  % CPUTime  : 
% 1.34/1.61  % Drodi V4.1.1
% 226.04/30.03  % Refutation found
% 226.04/30.03  % SZS status Theorem for theBenchmark: Theorem is valid
% 226.04/30.03  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 15.09/30.66  % Elapsed time: 30.231717 seconds
% 15.09/30.66  % CPU time: 228.575282 seconds
% 15.09/30.66  % Total memory used: 3.393 GB
% 15.09/30.66  % Net memory used: 3.381 GB
%------------------------------------------------------------------------------