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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : PLA031-1.001 : TPTP v9.3.1. Released v3.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n008.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 01:58:34 PM UTC 2026

% Result   : Unsatisfiable 5.04s 16.18s
% Output   : CNFRefutation 5.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   73 (  35 unt;   0 def)
%            Number of atoms       :  127 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  124 (  70   ~;  54   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-6 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :  186 ( 186   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7,axiom,
    ! [O1,L,D1,D2,T1] :
      ( s(O1,truck2,D1,D2,T1,L)
      | ~ s(O1,L,D1,D2,T1,L) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [O1,L,D1,D2,T1] :
      ( ~ s(O1,truck2,D1,D2,T1,L)
      | s(O1,L,D1,D2,T1,L) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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

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

fof(f11,axiom,
    ! [O1,O2,L,D2,T1] :
      ( s(O1,O2,truck2,D2,T1,L)
      | ~ neq(D2,truck2)
      | ~ s(O1,O2,L,D2,T1,L) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    ! [O1,O2,L,D2,T1] :
      ( ~ s(O1,O2,truck2,D2,T1,L)
      | s(O1,O2,L,D2,T1,L) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f17,axiom,
    ! [O1,O2,D2,S,T2,D] :
      ( s(O1,O2,truck1,D2,D,T2)
      | ~ link(S,D)
      | ~ s(O1,O2,truck1,D2,S,T2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f18,axiom,
    ! [O1,O2,D2,T1,S,D] :
      ( s(O1,O2,truck2,D2,T1,D)
      | ~ link(S,D)
      | ~ s(O1,O2,truck2,D2,T1,S) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f21,axiom,
    ! [O1,O2,S,D2,T1,T2,D] :
      ( s(O1,O2,D,D2,T1,T2)
      | ~ path(S,D)
      | ~ s(O1,O2,S,D2,T1,T2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f22,axiom,
    ! [O1,O2,D1,S,T1,T2,D] :
      ( s(O1,O2,D1,D,T1,T2)
      | ~ path(S,D)
      | ~ s(O1,O2,D1,S,T1,T2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f55,axiom,
    neq(s2,truck1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f56,axiom,
    neq(s2,truck2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f87,axiom,
    path(s1,p1_0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f90,axiom,
    path(p1_0,s0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f92,axiom,
    path(p2_0,s2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f93,axiom,
    path(s0,p2_0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f100,axiom,
    link(s1,s0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f101,axiom,
    link(s0,s2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f104,axiom,
    link(s2,s1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f105,axiom,
    s(s2,s2,s0,s1,s0,s2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f106,negated_conjecture,
    ~ s(s2,s1,s2,s2,s2,s0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f113,plain,
    ! [X0,X1,X2,X3,X4] :
      ( s(X0,truck2,X2,X3,X4,X1)
      | ~ s(X0,X1,X2,X3,X4,X1) ),
    inference(cnf_transformation,[status(thm)],[f7]) ).

fof(f114,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ s(X0,truck2,X2,X3,X4,X1)
      | s(X0,X1,X2,X3,X4,X1) ),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f115,plain,
    ! [X0,X1,X2,X3,X4] :
      ( s(X0,X1,truck1,X3,X2,X4)
      | ~ neq(X3,truck1)
      | ~ s(X0,X1,X2,X3,X2,X4) ),
    inference(cnf_transformation,[status(thm)],[f9]) ).

fof(f116,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ s(X0,X1,truck1,X3,X2,X4)
      | s(X0,X1,X2,X3,X2,X4) ),
    inference(cnf_transformation,[status(thm)],[f10]) ).

fof(f117,plain,
    ! [X0,X1,X2,X3,X4] :
      ( s(X0,X1,truck2,X3,X4,X2)
      | ~ neq(X3,truck2)
      | ~ s(X0,X1,X2,X3,X4,X2) ),
    inference(cnf_transformation,[status(thm)],[f11]) ).

fof(f118,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ s(X0,X1,truck2,X3,X4,X2)
      | s(X0,X1,X2,X3,X4,X2) ),
    inference(cnf_transformation,[status(thm)],[f12]) ).

fof(f123,plain,
    ! [O1,O2,D2,T2,D] :
      ( s(O1,O2,truck1,D2,D,T2)
      | ! [S] :
          ( ~ link(S,D)
          | ~ s(O1,O2,truck1,D2,S,T2) ) ),
    inference(miniscoping,[status(thm)],[f17]) ).

fof(f124,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( s(X0,X1,truck1,X2,X5,X4)
      | ~ link(X3,X5)
      | ~ s(X0,X1,truck1,X2,X3,X4) ),
    inference(cnf_transformation,[status(thm)],[f123]) ).

fof(f125,plain,
    ! [O1,O2,D2,T1,D] :
      ( s(O1,O2,truck2,D2,T1,D)
      | ! [S] :
          ( ~ link(S,D)
          | ~ s(O1,O2,truck2,D2,T1,S) ) ),
    inference(miniscoping,[status(thm)],[f18]) ).

fof(f126,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( s(X0,X1,truck2,X2,X3,X5)
      | ~ link(X4,X5)
      | ~ s(X0,X1,truck2,X2,X3,X4) ),
    inference(cnf_transformation,[status(thm)],[f125]) ).

fof(f131,plain,
    ! [O1,O2,D2,T1,T2,D] :
      ( s(O1,O2,D,D2,T1,T2)
      | ! [S] :
          ( ~ path(S,D)
          | ~ s(O1,O2,S,D2,T1,T2) ) ),
    inference(miniscoping,[status(thm)],[f21]) ).

fof(f132,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( s(X0,X1,X6,X3,X4,X5)
      | ~ path(X2,X6)
      | ~ s(X0,X1,X2,X3,X4,X5) ),
    inference(cnf_transformation,[status(thm)],[f131]) ).

fof(f133,plain,
    ! [O1,O2,D1,T1,T2,D] :
      ( s(O1,O2,D1,D,T1,T2)
      | ! [S] :
          ( ~ path(S,D)
          | ~ s(O1,O2,D1,S,T1,T2) ) ),
    inference(miniscoping,[status(thm)],[f22]) ).

fof(f134,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( s(X0,X1,X2,X6,X4,X5)
      | ~ path(X3,X6)
      | ~ s(X0,X1,X2,X3,X4,X5) ),
    inference(cnf_transformation,[status(thm)],[f133]) ).

fof(f167,plain,
    neq(s2,truck1),
    inference(cnf_transformation,[status(thm)],[f55]) ).

fof(f168,plain,
    neq(s2,truck2),
    inference(cnf_transformation,[status(thm)],[f56]) ).

fof(f199,plain,
    path(s1,p1_0),
    inference(cnf_transformation,[status(thm)],[f87]) ).

fof(f202,plain,
    path(p1_0,s0),
    inference(cnf_transformation,[status(thm)],[f90]) ).

fof(f204,plain,
    path(p2_0,s2),
    inference(cnf_transformation,[status(thm)],[f92]) ).

fof(f205,plain,
    path(s0,p2_0),
    inference(cnf_transformation,[status(thm)],[f93]) ).

fof(f212,plain,
    link(s1,s0),
    inference(cnf_transformation,[status(thm)],[f100]) ).

fof(f213,plain,
    link(s0,s2),
    inference(cnf_transformation,[status(thm)],[f101]) ).

fof(f216,plain,
    link(s2,s1),
    inference(cnf_transformation,[status(thm)],[f104]) ).

fof(f217,plain,
    s(s2,s2,s0,s1,s0,s2),
    inference(cnf_transformation,[status(thm)],[f105]) ).

fof(f218,plain,
    ~ s(s2,s1,s2,s2,s2,s0),
    inference(cnf_transformation,[status(thm)],[f106]) ).

fof(f233,plain,
    ~ s(s2,s1,truck1,s2,s2,s0),
    inference(resolution,[status(thm)],[f116,f218]) ).

fof(f256,plain,
    ! [X0] :
      ( ~ link(X0,s2)
      | ~ s(s2,s1,truck1,s2,X0,s0) ),
    inference(resolution,[status(thm)],[f124,f233]) ).

fof(f264,plain,
    ~ s(s2,s1,truck1,s2,s0,s0),
    inference(resolution,[status(thm)],[f256,f213]) ).

fof(f273,plain,
    ( ~ neq(s2,truck1)
    | ~ s(s2,s1,s0,s2,s0,s0) ),
    inference(resolution,[status(thm)],[f264,f115]) ).

fof(f274,plain,
    ~ s(s2,s1,s0,s2,s0,s0),
    inference(forward_subsumption_resolution,[status(thm)],[f273,f167]) ).

fof(f282,plain,
    ~ s(s2,s1,truck2,s2,s0,s0),
    inference(resolution,[status(thm)],[f274,f118]) ).

fof(f295,plain,
    ! [X0] :
      ( ~ link(X0,s0)
      | ~ s(s2,s1,truck2,s2,s0,X0) ),
    inference(resolution,[status(thm)],[f126,f282]) ).

fof(f326,plain,
    ~ s(s2,s1,truck2,s2,s0,s1),
    inference(resolution,[status(thm)],[f295,f212]) ).

fof(f352,plain,
    ~ s(s2,truck2,truck2,s2,s0,s1),
    inference(resolution,[status(thm)],[f326,f114]) ).

fof(f356,plain,
    ! [X0,X1,X2,X3,X4] :
      ( s(X0,X1,p2_0,X2,X3,X4)
      | ~ s(X0,X1,s0,X2,X3,X4) ),
    inference(resolution,[status(thm)],[f132,f205]) ).

fof(f362,plain,
    ! [X0,X1,X2,X3,X4] :
      ( s(X0,X1,X2,p2_0,X3,X4)
      | ~ s(X0,X1,X2,s0,X3,X4) ),
    inference(resolution,[status(thm)],[f134,f205]) ).

fof(f365,plain,
    ! [X0,X1,X2,X3,X4] :
      ( s(X0,X1,X2,p1_0,X3,X4)
      | ~ s(X0,X1,X2,s1,X3,X4) ),
    inference(resolution,[status(thm)],[f134,f199]) ).

fof(f405,plain,
    ! [X0] :
      ( ~ link(X0,s1)
      | ~ s(s2,truck2,truck2,s2,s0,X0) ),
    inference(resolution,[status(thm)],[f352,f126]) ).

fof(f594,plain,
    ~ s(s2,truck2,truck2,s2,s0,s2),
    inference(resolution,[status(thm)],[f405,f216]) ).

fof(f614,plain,
    ~ s(s2,s2,truck2,s2,s0,s2),
    inference(resolution,[status(thm)],[f594,f113]) ).

fof(f637,plain,
    ( ~ neq(s2,truck2)
    | ~ s(s2,s2,s2,s2,s0,s2) ),
    inference(resolution,[status(thm)],[f614,f117]) ).

fof(f641,plain,
    ~ s(s2,s2,s2,s2,s0,s2),
    inference(forward_subsumption_resolution,[status(thm)],[f637,f168]) ).

fof(f855,plain,
    ! [X0,X1,X2,X3,X4] :
      ( s(X0,X1,X2,s0,X3,X4)
      | ~ s(X0,X1,X2,p1_0,X3,X4) ),
    inference(resolution,[status(thm)],[f202,f134]) ).

fof(f909,plain,
    ! [X0,X1,X2,X3,X4] :
      ( s(X0,X1,X2,s2,X3,X4)
      | ~ s(X0,X1,X2,p2_0,X3,X4) ),
    inference(resolution,[status(thm)],[f204,f134]) ).

fof(f910,plain,
    ! [X0,X1,X2,X3,X4] :
      ( s(X0,X1,s2,X2,X3,X4)
      | ~ s(X0,X1,p2_0,X2,X3,X4) ),
    inference(resolution,[status(thm)],[f204,f132]) ).

fof(f2085,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ s(X0,X1,X2,s1,X3,X4)
      | s(X0,X1,X2,s0,X3,X4) ),
    inference(resolution,[status(thm)],[f855,f365]) ).

fof(f2224,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ s(X0,X1,X2,s0,X3,X4)
      | s(X0,X1,X2,s2,X3,X4) ),
    inference(resolution,[status(thm)],[f909,f362]) ).

fof(f2255,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ s(X0,X1,s0,X2,X3,X4)
      | s(X0,X1,s2,X2,X3,X4) ),
    inference(resolution,[status(thm)],[f910,f356]) ).

fof(f3741,plain,
    s(s2,s2,s0,s0,s0,s2),
    inference(resolution,[status(thm)],[f2085,f217]) ).

fof(f3874,plain,
    s(s2,s2,s0,s2,s0,s2),
    inference(resolution,[status(thm)],[f2224,f3741]) ).

fof(f3938,plain,
    s(s2,s2,s2,s2,s0,s2),
    inference(resolution,[status(thm)],[f2255,f3874]) ).

fof(f4004,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f3938,f641]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : PLA031-1.001 : TPTP v9.3.1. Released v3.5.0.
% 0.00/0.06  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/15.43  % Computer : n008.cluster.edu
% 0.15/15.43  % Model    : x86_64 x86_64
% 0.15/15.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/15.43  % Memory   : 8046.5625MB
% 0.15/15.43  % OS       : Linux 6.8.0-71-generic
% 0.15/15.43  % CPULimit : 300
% 0.15/15.43  % WCLimit  : 300
% 0.15/15.43  % DateTime : Mon Sep 21 03:34:24 UTC 2026
% 0.15/15.43  % CPUTime  : 
% 0.15/15.45  % Drodi V4.1.1
% 5.04/16.18  % Refutation found
% 5.04/16.18  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 5.04/16.18  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.96/16.24  % Elapsed time: 0.792353 seconds
% 0.96/16.24  % CPU time: 6.011928 seconds
% 0.96/16.24  % Total memory used: 160.204 MB
% 0.96/16.24  % Net memory used: 152.943 MB
%------------------------------------------------------------------------------