TSTP Solution File: SYN182-1 by Drodi---3.5.1

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%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN182-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n025.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May 31 12:46:11 EDT 2023

% Result   : Unsatisfiable 0.10s 0.36s
% Output   : CNFRefutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   23 (  10 unt;   0 def)
%            Number of atoms       :   36 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   29 (  16   ~;  13   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   30 (;  30   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f26,axiom,
    n0(d,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f104,axiom,
    ! [G,H] :
      ( p1(G,G,G)
      | ~ n0(H,G) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f175,axiom,
    ! [A,B,C] :
      ( n2(A)
      | ~ p1(B,C,A) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f282,axiom,
    ! [H] :
      ( p3(H,H,H)
      | ~ n2(H) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f315,axiom,
    ! [J,A,B] :
      ( l4(J)
      | ~ p3(A,B,J) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f362,axiom,
    ! [I] :
      ( q5(I,I)
      | ~ l4(I) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f369,negated_conjecture,
    ! [X] : ~ q5(X,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f395,plain,
    n0(d,c),
    inference(cnf_transformation,[status(esa)],[f26]) ).

fof(f513,plain,
    ! [G] :
      ( p1(G,G,G)
      | ! [H] : ~ n0(H,G) ),
    inference(miniscoping,[status(esa)],[f104]) ).

fof(f514,plain,
    ! [X0,X1] :
      ( p1(X0,X0,X0)
      | ~ n0(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f513]) ).

fof(f626,plain,
    ! [A] :
      ( n2(A)
      | ! [B,C] : ~ p1(B,C,A) ),
    inference(miniscoping,[status(esa)],[f175]) ).

fof(f627,plain,
    ! [X0,X1,X2] :
      ( n2(X0)
      | ~ p1(X1,X2,X0) ),
    inference(cnf_transformation,[status(esa)],[f626]) ).

fof(f784,plain,
    ! [X0] :
      ( p3(X0,X0,X0)
      | ~ n2(X0) ),
    inference(cnf_transformation,[status(esa)],[f282]) ).

fof(f836,plain,
    ! [J] :
      ( l4(J)
      | ! [A,B] : ~ p3(A,B,J) ),
    inference(miniscoping,[status(esa)],[f315]) ).

fof(f837,plain,
    ! [X0,X1,X2] :
      ( l4(X0)
      | ~ p3(X1,X2,X0) ),
    inference(cnf_transformation,[status(esa)],[f836]) ).

fof(f914,plain,
    ! [X0] :
      ( q5(X0,X0)
      | ~ l4(X0) ),
    inference(cnf_transformation,[status(esa)],[f362]) ).

fof(f924,plain,
    ! [X0] : ~ q5(X0,c),
    inference(cnf_transformation,[status(esa)],[f369]) ).

fof(f1992,plain,
    ~ l4(c),
    inference(resolution,[status(thm)],[f914,f924]) ).

fof(f2171,plain,
    p1(c,c,c),
    inference(resolution,[status(thm)],[f514,f395]) ).

fof(f2177,plain,
    n2(c),
    inference(resolution,[status(thm)],[f2171,f627]) ).

fof(f2178,plain,
    p3(c,c,c),
    inference(resolution,[status(thm)],[f2177,f784]) ).

fof(f2189,plain,
    l4(c),
    inference(resolution,[status(thm)],[f2178,f837]) ).

fof(f2190,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f2189,f1992]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SYN182-1 : TPTP v8.1.2. Released v1.1.0.
% 0.09/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32  % Computer : n025.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Tue May 30 10:33:57 EDT 2023
% 0.10/0.32  % CPUTime  : 
% 0.10/0.33  % Drodi V3.5.1
% 0.10/0.36  % Refutation found
% 0.10/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.39  % Elapsed time: 0.063001 seconds
% 0.10/0.39  % CPU time: 0.058974 seconds
% 0.10/0.39  % Memory used: 7.028 MB
%------------------------------------------------------------------------------