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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : PLA031-1.003 : TPTP v9.3.1. Released v3.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n026.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 01:58:35 PM UTC 2026

% Result   : Unsatisfiable 97.44s 28.03s
% Output   : CNFRefutation 16.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   67 (  36 unt;   0 def)
%            Number of atoms       :  109 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   86 (  44   ~;  42   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-8 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :  232 ( 232   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [L,O2,O3,O4,D1,D2,T2] :
      ( s(truck1,O2,O3,O4,D1,D2,L,T2)
      | ~ s(L,O2,O3,O4,D1,D2,L,T2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [L,O2,O3,O4,D1,D2,T2] :
      ( ~ s(truck1,O2,O3,O4,D1,D2,L,T2)
      | s(L,O2,O3,O4,D1,D2,L,T2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ! [O1,O2,L,O4,D1,D2,T2] :
      ( s(O1,O2,truck1,O4,D1,D2,L,T2)
      | ~ s(O1,O2,L,O4,D1,D2,L,T2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    ! [O1,O2,L,O4,D1,D2,T2] :
      ( ~ s(O1,O2,truck1,O4,D1,D2,L,T2)
      | s(O1,O2,L,O4,D1,D2,L,T2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    ! [O1,O2,O3,L,D1,D2,T2] :
      ( s(O1,O2,O3,truck1,D1,D2,L,T2)
      | ~ s(O1,O2,O3,L,D1,D2,L,T2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f14,axiom,
    ! [O1,O2,O3,L,D1,D2,T2] :
      ( ~ s(O1,O2,O3,truck1,D1,D2,L,T2)
      | s(O1,O2,O3,L,D1,D2,L,T2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f21,axiom,
    ! [O1,O2,O3,O4,D1,L,T2] :
      ( s(O1,O2,O3,O4,D1,truck1,L,T2)
      | ~ neq(D1,truck1)
      | ~ s(O1,O2,O3,O4,D1,L,L,T2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f27,axiom,
    ! [O1,O2,O3,O4,D1,S,T2,D] :
      ( s(O1,O2,O3,O4,D1,truck1,D,T2)
      | ~ link(S,D)
      | ~ s(O1,O2,O3,O4,D1,truck1,S,T2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f29,axiom,
    ! [O1,O2,O3,O4,S,D2,T1,T2,D] :
      ( s(O1,O2,O3,O4,D,D2,T1,T2)
      | ~ path(S,D)
      | ~ s(O1,O2,O3,O4,S,D2,T1,T2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f30,axiom,
    ! [O1,O2,O3,O4,D1,S,T1,T2,D] :
      ( s(O1,O2,O3,O4,D1,D,T1,T2)
      | ~ path(S,D)
      | ~ s(O1,O2,O3,O4,D1,S,T1,T2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f63,axiom,
    neq(s2,truck1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f95,axiom,
    path(s0,p0_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f98,axiom,
    path(p0_1,s1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f100,axiom,
    path(p1_2,s1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f101,axiom,
    path(s2,p1_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f107,axiom,
    link(s1,s2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f109,axiom,
    link(s2,s0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f110,axiom,
    link(s0,s2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f111,axiom,
    s(s1,s2,s2,s0,s2,s0,s1,s1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f112,negated_conjecture,
    ! [X6,X8] : ~ s(s2,s2,s0,s2,s1,X6,s0,X8),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f113,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( s(truck1,X1,X2,X3,X4,X5,X0,X6)
      | ~ s(X0,X1,X2,X3,X4,X5,X0,X6) ),
    inference(cnf_transformation,[status(thm)],[f1]) ).

fof(f114,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ s(truck1,X1,X2,X3,X4,X5,X0,X6)
      | s(X0,X1,X2,X3,X4,X5,X0,X6) ),
    inference(cnf_transformation,[status(thm)],[f2]) ).

fof(f121,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( s(X0,X1,truck1,X3,X4,X5,X2,X6)
      | ~ s(X0,X1,X2,X3,X4,X5,X2,X6) ),
    inference(cnf_transformation,[status(thm)],[f9]) ).

fof(f122,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ s(X0,X1,truck1,X3,X4,X5,X2,X6)
      | s(X0,X1,X2,X3,X4,X5,X2,X6) ),
    inference(cnf_transformation,[status(thm)],[f10]) ).

fof(f125,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( s(X0,X1,X2,truck1,X4,X5,X3,X6)
      | ~ s(X0,X1,X2,X3,X4,X5,X3,X6) ),
    inference(cnf_transformation,[status(thm)],[f13]) ).

fof(f126,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ s(X0,X1,X2,truck1,X4,X5,X3,X6)
      | s(X0,X1,X2,X3,X4,X5,X3,X6) ),
    inference(cnf_transformation,[status(thm)],[f14]) ).

fof(f133,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( s(X0,X1,X2,X3,X4,truck1,X5,X6)
      | ~ neq(X4,truck1)
      | ~ s(X0,X1,X2,X3,X4,X5,X5,X6) ),
    inference(cnf_transformation,[status(thm)],[f21]) ).

fof(f141,plain,
    ! [O1,O2,O3,O4,D1,T2,D] :
      ( s(O1,O2,O3,O4,D1,truck1,D,T2)
      | ! [S] :
          ( ~ link(S,D)
          | ~ s(O1,O2,O3,O4,D1,truck1,S,T2) ) ),
    inference(miniscoping,[status(thm)],[f27]) ).

fof(f142,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( s(X0,X1,X2,X3,X4,truck1,X7,X6)
      | ~ link(X5,X7)
      | ~ s(X0,X1,X2,X3,X4,truck1,X5,X6) ),
    inference(cnf_transformation,[status(thm)],[f141]) ).

fof(f145,plain,
    ! [O1,O2,O3,O4,D2,T1,T2,D] :
      ( s(O1,O2,O3,O4,D,D2,T1,T2)
      | ! [S] :
          ( ~ path(S,D)
          | ~ s(O1,O2,O3,O4,S,D2,T1,T2) ) ),
    inference(miniscoping,[status(thm)],[f29]) ).

fof(f146,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( s(X0,X1,X2,X3,X8,X5,X6,X7)
      | ~ path(X4,X8)
      | ~ s(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[status(thm)],[f145]) ).

fof(f147,plain,
    ! [O1,O2,O3,O4,D1,T1,T2,D] :
      ( s(O1,O2,O3,O4,D1,D,T1,T2)
      | ! [S] :
          ( ~ path(S,D)
          | ~ s(O1,O2,O3,O4,D1,S,T1,T2) ) ),
    inference(miniscoping,[status(thm)],[f30]) ).

fof(f148,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( s(X0,X1,X2,X3,X4,X8,X6,X7)
      | ~ path(X5,X8)
      | ~ s(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[status(thm)],[f147]) ).

fof(f181,plain,
    neq(s2,truck1),
    inference(cnf_transformation,[status(thm)],[f63]) ).

fof(f213,plain,
    path(s0,p0_1),
    inference(cnf_transformation,[status(thm)],[f95]) ).

fof(f216,plain,
    path(p0_1,s1),
    inference(cnf_transformation,[status(thm)],[f98]) ).

fof(f218,plain,
    path(p1_2,s1),
    inference(cnf_transformation,[status(thm)],[f100]) ).

fof(f219,plain,
    path(s2,p1_2),
    inference(cnf_transformation,[status(thm)],[f101]) ).

fof(f225,plain,
    link(s1,s2),
    inference(cnf_transformation,[status(thm)],[f107]) ).

fof(f227,plain,
    link(s2,s0),
    inference(cnf_transformation,[status(thm)],[f109]) ).

fof(f228,plain,
    link(s0,s2),
    inference(cnf_transformation,[status(thm)],[f110]) ).

fof(f229,plain,
    s(s1,s2,s2,s0,s2,s0,s1,s1),
    inference(cnf_transformation,[status(thm)],[f111]) ).

fof(f230,plain,
    ! [X0,X1] : ~ s(s2,s2,s0,s2,s1,X0,s0,X1),
    inference(cnf_transformation,[status(thm)],[f112]) ).

fof(f243,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( s(X0,X1,X2,X3,s2,truck1,X4,X5)
      | ~ s(X0,X1,X2,X3,s2,X4,X4,X5) ),
    inference(resolution,[status(thm)],[f181,f133]) ).

fof(f259,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( s(X0,X1,X2,X3,X4,p0_1,X5,X6)
      | ~ s(X0,X1,X2,X3,X4,s0,X5,X6) ),
    inference(resolution,[status(thm)],[f213,f148]) ).

fof(f265,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( s(X0,X1,X2,X3,X4,s1,X5,X6)
      | ~ s(X0,X1,X2,X3,X4,p0_1,X5,X6) ),
    inference(resolution,[status(thm)],[f216,f148]) ).

fof(f270,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( s(X0,X1,X2,X3,s1,X4,X5,X6)
      | ~ s(X0,X1,X2,X3,p1_2,X4,X5,X6) ),
    inference(resolution,[status(thm)],[f218,f146]) ).

fof(f272,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( s(X0,X1,X2,X3,p1_2,X4,X5,X6)
      | ~ s(X0,X1,X2,X3,s2,X4,X5,X6) ),
    inference(resolution,[status(thm)],[f219,f146]) ).

fof(f284,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( s(X0,X1,X2,X3,X4,truck1,s2,X5)
      | ~ s(X0,X1,X2,X3,X4,truck1,s1,X5) ),
    inference(resolution,[status(thm)],[f225,f142]) ).

fof(f292,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( s(X0,X1,X2,X3,X4,truck1,s0,X5)
      | ~ s(X0,X1,X2,X3,X4,truck1,s2,X5) ),
    inference(resolution,[status(thm)],[f227,f142]) ).

fof(f296,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( s(X0,X1,X2,X3,X4,truck1,s2,X5)
      | ~ s(X0,X1,X2,X3,X4,truck1,s0,X5) ),
    inference(resolution,[status(thm)],[f228,f142]) ).

fof(f300,plain,
    s(truck1,s2,s2,s0,s2,s0,s1,s1),
    inference(resolution,[status(thm)],[f229,f113]) ).

fof(f303,plain,
    s(truck1,s2,s2,s0,s2,p0_1,s1,s1),
    inference(resolution,[status(thm)],[f259,f300]) ).

fof(f313,plain,
    s(truck1,s2,s2,s0,s2,s1,s1,s1),
    inference(resolution,[status(thm)],[f265,f303]) ).

fof(f318,plain,
    s(truck1,s2,s2,s0,s2,truck1,s1,s1),
    inference(resolution,[status(thm)],[f313,f243]) ).

fof(f356,plain,
    s(truck1,s2,s2,s0,p1_2,truck1,s1,s1),
    inference(resolution,[status(thm)],[f318,f272]) ).

fof(f590,plain,
    s(truck1,s2,s2,s0,s1,truck1,s1,s1),
    inference(resolution,[status(thm)],[f356,f270]) ).

fof(f1040,plain,
    s(truck1,s2,s2,s0,s1,truck1,s2,s1),
    inference(resolution,[status(thm)],[f590,f284]) ).

fof(f1899,plain,
    s(s2,s2,s2,s0,s1,truck1,s2,s1),
    inference(resolution,[status(thm)],[f1040,f114]) ).

fof(f4323,plain,
    s(s2,s2,s2,s0,s1,truck1,s0,s1),
    inference(resolution,[status(thm)],[f1899,f292]) ).

fof(f10235,plain,
    s(s2,s2,s2,truck1,s1,truck1,s0,s1),
    inference(resolution,[status(thm)],[f4323,f125]) ).

fof(f23301,plain,
    s(s2,s2,s2,truck1,s1,truck1,s2,s1),
    inference(resolution,[status(thm)],[f10235,f296]) ).

fof(f48800,plain,
    s(s2,s2,s2,s2,s1,truck1,s2,s1),
    inference(resolution,[status(thm)],[f23301,f126]) ).

fof(f94367,plain,
    s(s2,s2,truck1,s2,s1,truck1,s2,s1),
    inference(resolution,[status(thm)],[f48800,f121]) ).

fof(f170496,plain,
    s(s2,s2,truck1,s2,s1,truck1,s0,s1),
    inference(resolution,[status(thm)],[f94367,f292]) ).

fof(f293123,plain,
    s(s2,s2,s0,s2,s1,truck1,s0,s1),
    inference(resolution,[status(thm)],[f170496,f122]) ).

fof(f293129,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f293123,f230]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : PLA031-1.003 : TPTP v9.3.1. Released v3.5.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/15.59  % Computer : n026.cluster.edu
% 0.09/15.59  % Model    : x86_64 x86_64
% 0.09/15.59  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/15.59  % Memory   : 8046.5625MB
% 0.09/15.59  % OS       : Linux 6.8.0-71-generic
% 0.09/15.59  % CPULimit : 300
% 0.09/15.59  % WCLimit  : 300
% 0.09/15.59  % DateTime : Mon Sep 21 03:36:10 UTC 2026
% 0.09/15.59  % CPUTime  : 
% 0.14/15.61  % Drodi V4.1.1
% 97.44/28.03  % Refutation found
% 97.44/28.03  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 97.44/28.03  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 6.78/28.66  % Elapsed time: 13.047188 seconds
% 6.78/28.66  % CPU time: 100.545053 seconds
% 6.78/28.66  % Total memory used: 829.956 MB
% 6.78/28.66  % Net memory used: 731.806 MB
%------------------------------------------------------------------------------