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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : PLA031-1.002 : TPTP v9.3.1. Released v3.5.0.
% 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 01:58:34 PM UTC 2026

% Result   : Unsatisfiable 8.14s 1.91s
% Output   : CNFRefutation 8.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   63 (  31 unt;   0 def)
%            Number of atoms       :  106 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   88 (  45   ~;  43   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-7 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :  207 ( 207   !;   0   ?)

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

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

fof(f5,axiom,
    ! [O1,L,O3,D1,D2,T2] :
      ( s(O1,truck1,O3,D1,D2,L,T2)
      | ~ s(O1,L,O3,D1,D2,L,T2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [O1,L,O3,D1,D2,T2] :
      ( ~ s(O1,truck1,O3,D1,D2,L,T2)
      | s(O1,L,O3,D1,D2,L,T2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

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

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

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

fof(f21,axiom,
    ! [O1,O2,O3,D2,S,T2,D] :
      ( s(O1,O2,O3,truck1,D2,D,T2)
      | ~ link(S,D)
      | ~ s(O1,O2,O3,truck1,D2,S,T2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f25,axiom,
    ! [O1,O2,O3,S,D2,T1,T2,D] :
      ( s(O1,O2,O3,D,D2,T1,T2)
      | ~ path(S,D)
      | ~ s(O1,O2,O3,S,D2,T1,T2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f26,axiom,
    ! [O1,O2,O3,D1,S,T1,T2,D] :
      ( s(O1,O2,O3,D1,D,T1,T2)
      | ~ path(S,D)
      | ~ s(O1,O2,O3,D1,S,T1,T2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f48,axiom,
    neq(s1,truck1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f81,axiom,
    path(p2_1,s2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f82,axiom,
    path(s1,p2_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f85,axiom,
    link(s1,s0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f87,axiom,
    link(s2,s1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f89,axiom,
    link(s0,s2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f90,axiom,
    s(s1,s1,s1,s1,s1,s2,s0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f91,negated_conjecture,
    ! [X5,X7] : ~ s(s0,s0,s2,s2,X5,s2,X7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f92,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( s(truck1,X1,X2,X3,X4,X0,X5)
      | ~ s(X0,X1,X2,X3,X4,X0,X5) ),
    inference(cnf_transformation,[status(thm)],[f1]) ).

fof(f93,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ s(truck1,X1,X2,X3,X4,X0,X5)
      | s(X0,X1,X2,X3,X4,X0,X5) ),
    inference(cnf_transformation,[status(thm)],[f2]) ).

fof(f96,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( s(X0,truck1,X2,X3,X4,X1,X5)
      | ~ s(X0,X1,X2,X3,X4,X1,X5) ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f97,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ s(X0,truck1,X2,X3,X4,X1,X5)
      | s(X0,X1,X2,X3,X4,X1,X5) ),
    inference(cnf_transformation,[status(thm)],[f6]) ).

fof(f100,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( s(X0,X1,truck1,X3,X4,X2,X5)
      | ~ s(X0,X1,X2,X3,X4,X2,X5) ),
    inference(cnf_transformation,[status(thm)],[f9]) ).

fof(f101,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ s(X0,X1,truck1,X3,X4,X2,X5)
      | s(X0,X1,X2,X3,X4,X2,X5) ),
    inference(cnf_transformation,[status(thm)],[f10]) ).

fof(f104,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( s(X0,X1,X2,truck1,X4,X3,X5)
      | ~ neq(X4,truck1)
      | ~ s(X0,X1,X2,X3,X4,X3,X5) ),
    inference(cnf_transformation,[status(thm)],[f13]) ).

fof(f105,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ s(X0,X1,X2,truck1,X4,X3,X5)
      | s(X0,X1,X2,X3,X4,X3,X5) ),
    inference(cnf_transformation,[status(thm)],[f14]) ).

fof(f112,plain,
    ! [O1,O2,O3,D2,T2,D] :
      ( s(O1,O2,O3,truck1,D2,D,T2)
      | ! [S] :
          ( ~ link(S,D)
          | ~ s(O1,O2,O3,truck1,D2,S,T2) ) ),
    inference(miniscoping,[status(thm)],[f21]) ).

fof(f113,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( s(X0,X1,X2,truck1,X3,X6,X5)
      | ~ link(X4,X6)
      | ~ s(X0,X1,X2,truck1,X3,X4,X5) ),
    inference(cnf_transformation,[status(thm)],[f112]) ).

fof(f120,plain,
    ! [O1,O2,O3,D2,T1,T2,D] :
      ( s(O1,O2,O3,D,D2,T1,T2)
      | ! [S] :
          ( ~ path(S,D)
          | ~ s(O1,O2,O3,S,D2,T1,T2) ) ),
    inference(miniscoping,[status(thm)],[f25]) ).

fof(f121,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( s(X0,X1,X2,X7,X4,X5,X6)
      | ~ path(X3,X7)
      | ~ s(X0,X1,X2,X3,X4,X5,X6) ),
    inference(cnf_transformation,[status(thm)],[f120]) ).

fof(f122,plain,
    ! [O1,O2,O3,D1,T1,T2,D] :
      ( s(O1,O2,O3,D1,D,T1,T2)
      | ! [S] :
          ( ~ path(S,D)
          | ~ s(O1,O2,O3,D1,S,T1,T2) ) ),
    inference(miniscoping,[status(thm)],[f26]) ).

fof(f123,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( s(X0,X1,X2,X3,X7,X5,X6)
      | ~ path(X4,X7)
      | ~ s(X0,X1,X2,X3,X4,X5,X6) ),
    inference(cnf_transformation,[status(thm)],[f122]) ).

fof(f145,plain,
    neq(s1,truck1),
    inference(cnf_transformation,[status(thm)],[f48]) ).

fof(f178,plain,
    path(p2_1,s2),
    inference(cnf_transformation,[status(thm)],[f81]) ).

fof(f179,plain,
    path(s1,p2_1),
    inference(cnf_transformation,[status(thm)],[f82]) ).

fof(f182,plain,
    link(s1,s0),
    inference(cnf_transformation,[status(thm)],[f85]) ).

fof(f184,plain,
    link(s2,s1),
    inference(cnf_transformation,[status(thm)],[f87]) ).

fof(f186,plain,
    link(s0,s2),
    inference(cnf_transformation,[status(thm)],[f89]) ).

fof(f187,plain,
    s(s1,s1,s1,s1,s1,s2,s0),
    inference(cnf_transformation,[status(thm)],[f90]) ).

fof(f188,plain,
    ! [X0,X1] : ~ s(s0,s0,s2,s2,X0,s2,X1),
    inference(cnf_transformation,[status(thm)],[f91]) ).

fof(f192,plain,
    ! [X0,X1,X2,X3,X4] :
      ( s(X0,X1,X2,truck1,s1,X3,X4)
      | ~ s(X0,X1,X2,X3,s1,X3,X4) ),
    inference(resolution,[status(thm)],[f104,f145]) ).

fof(f214,plain,
    ! [X0,X1,X2,X3,X4] :
      ( s(X0,X1,X2,truck1,X3,s1,X4)
      | ~ s(X0,X1,X2,truck1,X3,s2,X4) ),
    inference(resolution,[status(thm)],[f113,f184]) ).

fof(f216,plain,
    ! [X0,X1,X2,X3,X4] :
      ( s(X0,X1,X2,truck1,X3,s0,X4)
      | ~ s(X0,X1,X2,truck1,X3,s1,X4) ),
    inference(resolution,[status(thm)],[f113,f182]) ).

fof(f217,plain,
    ! [X0,X1,X2,X3,X4] :
      ( s(X0,X1,X2,truck1,X3,s2,X4)
      | ~ s(X0,X1,X2,truck1,X3,s0,X4) ),
    inference(resolution,[status(thm)],[f113,f186]) ).

fof(f226,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( s(X0,X1,X2,s2,X3,X4,X5)
      | ~ s(X0,X1,X2,p2_1,X3,X4,X5) ),
    inference(resolution,[status(thm)],[f121,f178]) ).

fof(f231,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( s(X0,X1,X2,p2_1,X3,X4,X5)
      | ~ s(X0,X1,X2,s1,X3,X4,X5) ),
    inference(resolution,[status(thm)],[f121,f179]) ).

fof(f233,plain,
    s(s1,s1,s1,p2_1,s1,s2,s0),
    inference(resolution,[status(thm)],[f231,f187]) ).

fof(f234,plain,
    s(s1,s1,s1,s2,s1,s2,s0),
    inference(resolution,[status(thm)],[f233,f226]) ).

fof(f237,plain,
    s(s1,s1,s1,truck1,s1,s2,s0),
    inference(resolution,[status(thm)],[f234,f192]) ).

fof(f258,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( s(X0,X1,X2,X3,p2_1,X4,X5)
      | ~ s(X0,X1,X2,X3,s1,X4,X5) ),
    inference(resolution,[status(thm)],[f123,f179]) ).

fof(f285,plain,
    s(s1,s1,s1,truck1,p2_1,s2,s0),
    inference(resolution,[status(thm)],[f258,f237]) ).

fof(f355,plain,
    s(s1,s1,s1,truck1,p2_1,s1,s0),
    inference(resolution,[status(thm)],[f214,f285]) ).

fof(f404,plain,
    s(s1,s1,truck1,truck1,p2_1,s1,s0),
    inference(resolution,[status(thm)],[f355,f100]) ).

fof(f459,plain,
    s(s1,truck1,truck1,truck1,p2_1,s1,s0),
    inference(resolution,[status(thm)],[f404,f96]) ).

fof(f627,plain,
    s(truck1,truck1,truck1,truck1,p2_1,s1,s0),
    inference(resolution,[status(thm)],[f459,f92]) ).

fof(f1109,plain,
    s(truck1,truck1,truck1,truck1,p2_1,s0,s0),
    inference(resolution,[status(thm)],[f627,f216]) ).

fof(f2258,plain,
    s(s0,truck1,truck1,truck1,p2_1,s0,s0),
    inference(resolution,[status(thm)],[f1109,f93]) ).

fof(f5137,plain,
    s(s0,s0,truck1,truck1,p2_1,s0,s0),
    inference(resolution,[status(thm)],[f2258,f97]) ).

fof(f11159,plain,
    s(s0,s0,truck1,truck1,p2_1,s2,s0),
    inference(resolution,[status(thm)],[f5137,f217]) ).

fof(f23269,plain,
    s(s0,s0,s2,truck1,p2_1,s2,s0),
    inference(resolution,[status(thm)],[f11159,f101]) ).

fof(f46075,plain,
    s(s0,s0,s2,s2,p2_1,s2,s0),
    inference(resolution,[status(thm)],[f23269,f105]) ).

fof(f46081,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f46075,f188]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : PLA031-1.002 : TPTP v9.3.1. Released v3.5.0.
% 0.00/0.06  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  % Computer : n001.cluster.edu
% 0.18/0.45  % Model    : x86_64 x86_64
% 0.18/0.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45  % Memory   : 8046.5625MB
% 0.18/0.45  % OS       : Linux 6.8.0-71-generic
% 0.18/0.45  % CPULimit : 300
% 0.18/0.45  % WCLimit  : 300
% 0.18/0.45  % DateTime : Mon Sep 21 03:38:58 UTC 2026
% 0.18/0.46  % CPUTime  : 
% 0.18/0.47  % Drodi V4.1.1
% 8.14/1.91  % Refutation found
% 8.14/1.91  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 8.14/1.91  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 7.91/1.99  % Elapsed time: 1.515783 seconds
% 7.91/1.99  % CPU time: 11.521756 seconds
% 7.91/1.99  % Total memory used: 163.542 MB
% 7.91/1.99  % Net memory used: 157.667 MB
%------------------------------------------------------------------------------