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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR061+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n006.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 0.12s 0.40s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   83 (  52 unt;   0 def)
%            Number of atoms       :  126 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   80 (  37   ~;  34   |;   4   &)
%                                         (   0 <=>;   5  =>;   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   :   52 (  52   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    genls(c_tptpcol_4_106497,c_tptpcol_3_98305),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    genls(c_tptpcol_5_110593,c_tptpcol_4_106497),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    genls(c_tptpcol_6_112641,c_tptpcol_5_110593),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    genls(c_tptpcol_7_113665,c_tptpcol_6_112641),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    genls(c_tptpcol_8_114177,c_tptpcol_7_113665),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f15,axiom,
    genls(c_tptpcol_4_114689,c_tptpcol_3_114688),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f17,axiom,
    genls(c_tptpcol_5_114690,c_tptpcol_4_114689),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f19,axiom,
    genls(c_tptpcol_6_116738,c_tptpcol_5_114690),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f21,axiom,
    genls(c_tptpcol_7_117762,c_tptpcol_6_116738),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f23,axiom,
    genls(c_tptpcol_8_117763,c_tptpcol_7_117762),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f25,axiom,
    genls(c_tptpcol_9_118019,c_tptpcol_8_117763),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f27,axiom,
    genls(c_tptpcol_10_118020,c_tptpcol_9_118019),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f29,axiom,
    genls(c_tptpcol_11_118084,c_tptpcol_10_118020),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f31,axiom,
    genls(c_tptpcol_12_118116,c_tptpcol_11_118084),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f33,axiom,
    genls(c_tptpcol_13_118117,c_tptpcol_12_118116),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f35,axiom,
    genls(c_tptpcol_14_118118,c_tptpcol_13_118117),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f37,axiom,
    disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f55,axiom,
    ! [ARG1,OLD,NEW] :
      ( ( genls(NEW,OLD)
        & disjointwith(ARG1,OLD) )
     => disjointwith(ARG1,NEW) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f56,axiom,
    ! [OLD,ARG2,NEW] :
      ( ( genls(NEW,OLD)
        & disjointwith(OLD,ARG2) )
     => disjointwith(NEW,ARG2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f97,axiom,
    ! [X,Y,Z] :
      ( ( genls(Y,Z)
        & genls(X,Y) )
     => genls(X,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f119,conjecture,
    ( mtvisible(c_timehasnoendmt)
   => disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f120,negated_conjecture,
    ~ ( mtvisible(c_timehasnoendmt)
     => disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118) ),
    inference(negated_conjecture,[status(cth)],[f119]) ).

fof(f125,plain,
    genls(c_tptpcol_4_106497,c_tptpcol_3_98305),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f128,plain,
    genls(c_tptpcol_5_110593,c_tptpcol_4_106497),
    inference(cnf_transformation,[status(thm)],[f7]) ).

fof(f131,plain,
    genls(c_tptpcol_6_112641,c_tptpcol_5_110593),
    inference(cnf_transformation,[status(thm)],[f9]) ).

fof(f134,plain,
    genls(c_tptpcol_7_113665,c_tptpcol_6_112641),
    inference(cnf_transformation,[status(thm)],[f11]) ).

fof(f137,plain,
    genls(c_tptpcol_8_114177,c_tptpcol_7_113665),
    inference(cnf_transformation,[status(thm)],[f13]) ).

fof(f140,plain,
    genls(c_tptpcol_4_114689,c_tptpcol_3_114688),
    inference(cnf_transformation,[status(thm)],[f15]) ).

fof(f143,plain,
    genls(c_tptpcol_5_114690,c_tptpcol_4_114689),
    inference(cnf_transformation,[status(thm)],[f17]) ).

fof(f146,plain,
    genls(c_tptpcol_6_116738,c_tptpcol_5_114690),
    inference(cnf_transformation,[status(thm)],[f19]) ).

fof(f149,plain,
    genls(c_tptpcol_7_117762,c_tptpcol_6_116738),
    inference(cnf_transformation,[status(thm)],[f21]) ).

fof(f152,plain,
    genls(c_tptpcol_8_117763,c_tptpcol_7_117762),
    inference(cnf_transformation,[status(thm)],[f23]) ).

fof(f155,plain,
    genls(c_tptpcol_9_118019,c_tptpcol_8_117763),
    inference(cnf_transformation,[status(thm)],[f25]) ).

fof(f158,plain,
    genls(c_tptpcol_10_118020,c_tptpcol_9_118019),
    inference(cnf_transformation,[status(thm)],[f27]) ).

fof(f161,plain,
    genls(c_tptpcol_11_118084,c_tptpcol_10_118020),
    inference(cnf_transformation,[status(thm)],[f29]) ).

fof(f164,plain,
    genls(c_tptpcol_12_118116,c_tptpcol_11_118084),
    inference(cnf_transformation,[status(thm)],[f31]) ).

fof(f167,plain,
    genls(c_tptpcol_13_118117,c_tptpcol_12_118116),
    inference(cnf_transformation,[status(thm)],[f33]) ).

fof(f170,plain,
    genls(c_tptpcol_14_118118,c_tptpcol_13_118117),
    inference(cnf_transformation,[status(thm)],[f35]) ).

fof(f173,plain,
    disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688),
    inference(cnf_transformation,[status(thm)],[f37]) ).

fof(f221,plain,
    ! [ARG1,OLD,NEW] :
      ( disjointwith(ARG1,NEW)
      | ~ genls(NEW,OLD)
      | ~ disjointwith(ARG1,OLD) ),
    inference(pre_NNF_transformation,[status(thm)],[f55]) ).

fof(f222,plain,
    ! [ARG1,NEW] :
      ( disjointwith(ARG1,NEW)
      | ! [OLD] :
          ( ~ genls(NEW,OLD)
          | ~ disjointwith(ARG1,OLD) ) ),
    inference(miniscoping,[status(thm)],[f221]) ).

fof(f223,plain,
    ! [X0,X1,X2] :
      ( disjointwith(X0,X2)
      | ~ genls(X2,X1)
      | ~ disjointwith(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f222]) ).

fof(f224,plain,
    ! [OLD,ARG2,NEW] :
      ( disjointwith(NEW,ARG2)
      | ~ genls(NEW,OLD)
      | ~ disjointwith(OLD,ARG2) ),
    inference(pre_NNF_transformation,[status(thm)],[f56]) ).

fof(f225,plain,
    ! [ARG2,NEW] :
      ( disjointwith(NEW,ARG2)
      | ! [OLD] :
          ( ~ genls(NEW,OLD)
          | ~ disjointwith(OLD,ARG2) ) ),
    inference(miniscoping,[status(thm)],[f224]) ).

fof(f226,plain,
    ! [X0,X1,X2] :
      ( disjointwith(X2,X1)
      | ~ genls(X2,X0)
      | ~ disjointwith(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f225]) ).

fof(f311,plain,
    ! [X,Y,Z] :
      ( genls(X,Z)
      | ~ genls(Y,Z)
      | ~ genls(X,Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f97]) ).

fof(f312,plain,
    ! [X,Z] :
      ( genls(X,Z)
      | ! [Y] :
          ( ~ genls(Y,Z)
          | ~ genls(X,Y) ) ),
    inference(miniscoping,[status(thm)],[f311]) ).

fof(f313,plain,
    ! [X0,X1,X2] :
      ( genls(X0,X2)
      | ~ genls(X1,X2)
      | ~ genls(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f312]) ).

fof(f367,plain,
    ( ~ disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118)
    & mtvisible(c_timehasnoendmt) ),
    inference(pre_NNF_transformation,[status(thm)],[f120]) ).

fof(f369,plain,
    ~ disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118),
    inference(cnf_transformation,[status(thm)],[f367]) ).

fof(f371,plain,
    ! [X0] :
      ( disjointwith(c_tptpcol_3_98305,X0)
      | ~ genls(X0,c_tptpcol_3_114688) ),
    inference(resolution,[status(thm)],[f173,f223]) ).

fof(f384,plain,
    disjointwith(c_tptpcol_3_98305,c_tptpcol_4_114689),
    inference(resolution,[status(thm)],[f371,f140]) ).

fof(f387,plain,
    ! [X0] :
      ( disjointwith(c_tptpcol_3_98305,X0)
      | ~ genls(X0,c_tptpcol_4_114689) ),
    inference(resolution,[status(thm)],[f384,f223]) ).

fof(f408,plain,
    disjointwith(c_tptpcol_3_98305,c_tptpcol_5_114690),
    inference(resolution,[status(thm)],[f387,f143]) ).

fof(f409,plain,
    ! [X0] :
      ( disjointwith(X0,c_tptpcol_5_114690)
      | ~ genls(X0,c_tptpcol_3_98305) ),
    inference(resolution,[status(thm)],[f408,f226]) ).

fof(f559,plain,
    ! [X0] :
      ( genls(X0,c_tptpcol_12_118116)
      | ~ genls(X0,c_tptpcol_13_118117) ),
    inference(resolution,[status(thm)],[f313,f167]) ).

fof(f560,plain,
    ! [X0] :
      ( genls(X0,c_tptpcol_11_118084)
      | ~ genls(X0,c_tptpcol_12_118116) ),
    inference(resolution,[status(thm)],[f313,f164]) ).

fof(f561,plain,
    ! [X0] :
      ( genls(X0,c_tptpcol_10_118020)
      | ~ genls(X0,c_tptpcol_11_118084) ),
    inference(resolution,[status(thm)],[f313,f161]) ).

fof(f562,plain,
    ! [X0] :
      ( genls(X0,c_tptpcol_9_118019)
      | ~ genls(X0,c_tptpcol_10_118020) ),
    inference(resolution,[status(thm)],[f313,f158]) ).

fof(f563,plain,
    ! [X0] :
      ( genls(X0,c_tptpcol_8_117763)
      | ~ genls(X0,c_tptpcol_9_118019) ),
    inference(resolution,[status(thm)],[f313,f155]) ).

fof(f565,plain,
    ! [X0] :
      ( genls(X0,c_tptpcol_6_116738)
      | ~ genls(X0,c_tptpcol_7_117762) ),
    inference(resolution,[status(thm)],[f313,f149]) ).

fof(f566,plain,
    ! [X0] :
      ( genls(X0,c_tptpcol_5_114690)
      | ~ genls(X0,c_tptpcol_6_116738) ),
    inference(resolution,[status(thm)],[f313,f146]) ).

fof(f569,plain,
    ! [X0] :
      ( genls(X0,c_tptpcol_6_112641)
      | ~ genls(X0,c_tptpcol_7_113665) ),
    inference(resolution,[status(thm)],[f313,f134]) ).

fof(f570,plain,
    ! [X0] :
      ( genls(X0,c_tptpcol_5_110593)
      | ~ genls(X0,c_tptpcol_6_112641) ),
    inference(resolution,[status(thm)],[f313,f131]) ).

fof(f571,plain,
    ! [X0] :
      ( genls(X0,c_tptpcol_4_106497)
      | ~ genls(X0,c_tptpcol_5_110593) ),
    inference(resolution,[status(thm)],[f313,f128]) ).

fof(f572,plain,
    ! [X0] :
      ( genls(X0,c_tptpcol_3_98305)
      | ~ genls(X0,c_tptpcol_4_106497) ),
    inference(resolution,[status(thm)],[f313,f125]) ).

fof(f800,plain,
    genls(c_tptpcol_14_118118,c_tptpcol_12_118116),
    inference(resolution,[status(thm)],[f559,f170]) ).

fof(f824,plain,
    genls(c_tptpcol_14_118118,c_tptpcol_11_118084),
    inference(resolution,[status(thm)],[f560,f800]) ).

fof(f856,plain,
    genls(c_tptpcol_8_117763,c_tptpcol_6_116738),
    inference(resolution,[status(thm)],[f565,f152]) ).

fof(f858,plain,
    genls(c_tptpcol_14_118118,c_tptpcol_10_118020),
    inference(resolution,[status(thm)],[f824,f561]) ).

fof(f885,plain,
    genls(c_tptpcol_14_118118,c_tptpcol_9_118019),
    inference(resolution,[status(thm)],[f858,f562]) ).

fof(f890,plain,
    genls(c_tptpcol_8_114177,c_tptpcol_6_112641),
    inference(resolution,[status(thm)],[f569,f137]) ).

fof(f895,plain,
    genls(c_tptpcol_8_114177,c_tptpcol_5_110593),
    inference(resolution,[status(thm)],[f890,f570]) ).

fof(f904,plain,
    genls(c_tptpcol_8_114177,c_tptpcol_4_106497),
    inference(resolution,[status(thm)],[f895,f571]) ).

fof(f919,plain,
    genls(c_tptpcol_8_114177,c_tptpcol_3_98305),
    inference(resolution,[status(thm)],[f904,f572]) ).

fof(f936,plain,
    genls(c_tptpcol_14_118118,c_tptpcol_8_117763),
    inference(resolution,[status(thm)],[f885,f563]) ).

fof(f958,plain,
    disjointwith(c_tptpcol_8_114177,c_tptpcol_5_114690),
    inference(resolution,[status(thm)],[f919,f409]) ).

fof(f980,plain,
    ! [X0] :
      ( genls(X0,c_tptpcol_6_116738)
      | ~ genls(X0,c_tptpcol_8_117763) ),
    inference(resolution,[status(thm)],[f856,f313]) ).

fof(f1037,plain,
    ! [X0] :
      ( disjointwith(c_tptpcol_8_114177,X0)
      | ~ genls(X0,c_tptpcol_5_114690) ),
    inference(resolution,[status(thm)],[f958,f223]) ).

fof(f1157,plain,
    genls(c_tptpcol_14_118118,c_tptpcol_6_116738),
    inference(resolution,[status(thm)],[f980,f936]) ).

fof(f1176,plain,
    genls(c_tptpcol_14_118118,c_tptpcol_5_114690),
    inference(resolution,[status(thm)],[f1157,f566]) ).

fof(f1326,plain,
    disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118),
    inference(resolution,[status(thm)],[f1176,f1037]) ).

fof(f1338,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f1326,f369]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR061+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35  % Computer : n006.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Mon Sep 21 14:40:11 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.12/0.37  % Drodi V4.1.1
% 0.12/0.40  % Refutation found
% 0.12/0.40  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.40  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.43  % Elapsed time: 0.065351 seconds
% 0.12/0.43  % CPU time: 0.236550 seconds
% 0.12/0.43  % Total memory used: 61.661 MB
% 0.12/0.43  % Net memory used: 61.555 MB
%------------------------------------------------------------------------------