TSTP Solution File: SYN726-1 by Drodi---3.5.1

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%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN726-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n010.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 12:47:29 EDT 2023

% Result   : Unsatisfiable 0.19s 0.39s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   26 (  10 unt;   0 def)
%            Number of atoms       :   50 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   45 (  21   ~;  24   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   41 (;  41   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ! [A,C,B] :
      ( p(A,C)
      | ~ p(A,B)
      | ~ p(B,C) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ! [A,C,B] :
      ( q(A,C)
      | ~ q(A,B)
      | ~ q(B,C) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,negated_conjecture,
    ! [B,A] :
      ( q(B,A)
      | ~ q(A,B) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,negated_conjecture,
    ! [A,B] :
      ( p(A,B)
      | q(A,B) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,negated_conjecture,
    ~ p(sk1,sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,negated_conjecture,
    ~ q(sk3,sk4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,plain,
    ! [C,B] :
      ( ! [A] :
          ( p(A,C)
          | ~ p(A,B) )
      | ~ p(B,C) ),
    inference(miniscoping,[status(esa)],[f1]) ).

fof(f8,plain,
    ! [X0,X1,X2] :
      ( p(X0,X1)
      | ~ p(X0,X2)
      | ~ p(X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f9,plain,
    ! [C,B] :
      ( ! [A] :
          ( q(A,C)
          | ~ q(A,B) )
      | ~ q(B,C) ),
    inference(miniscoping,[status(esa)],[f2]) ).

fof(f10,plain,
    ! [X0,X1,X2] :
      ( q(X0,X1)
      | ~ q(X0,X2)
      | ~ q(X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f11,plain,
    ! [X0,X1] :
      ( q(X0,X1)
      | ~ q(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f12,plain,
    ! [X0,X1] :
      ( p(X0,X1)
      | q(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f13,plain,
    ~ p(sk1,sk2),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f14,plain,
    ~ q(sk3,sk4),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f15,plain,
    q(sk1,sk2),
    inference(resolution,[status(thm)],[f12,f13]) ).

fof(f16,plain,
    q(sk2,sk1),
    inference(resolution,[status(thm)],[f15,f11]) ).

fof(f18,plain,
    ! [X0,X1,X2] :
      ( p(X0,X1)
      | ~ p(X2,X1)
      | q(X0,X2) ),
    inference(resolution,[status(thm)],[f8,f12]) ).

fof(f21,plain,
    ! [X0] :
      ( q(sk2,X0)
      | ~ q(sk1,X0) ),
    inference(resolution,[status(thm)],[f10,f16]) ).

fof(f39,plain,
    ! [X0,X1,X2] :
      ( p(X0,X1)
      | q(X0,X2)
      | q(X2,X1) ),
    inference(resolution,[status(thm)],[f18,f12]) ).

fof(f41,plain,
    ! [X0] :
      ( q(sk1,X0)
      | q(X0,sk2) ),
    inference(resolution,[status(thm)],[f39,f13]) ).

fof(f48,plain,
    ! [X0] :
      ( q(X0,sk2)
      | q(sk2,X0) ),
    inference(resolution,[status(thm)],[f41,f21]) ).

fof(f49,plain,
    ! [X0] : q(X0,sk2),
    inference(forward_subsumption_resolution,[status(thm)],[f48,f11]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( q(X0,X1)
      | ~ q(sk2,X1) ),
    inference(resolution,[status(thm)],[f49,f10]) ).

fof(f77,plain,
    ! [X0] : q(sk2,X0),
    inference(resolution,[status(thm)],[f49,f11]) ).

fof(f78,plain,
    ! [X0,X1] : q(X0,X1),
    inference(backward_subsumption_resolution,[status(thm)],[f76,f77]) ).

fof(f79,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f14,f78]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.15  % Problem  : SYN726-1 : TPTP v8.1.2. Released v2.5.0.
% 0.04/0.16  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.37  % Computer : n010.cluster.edu
% 0.12/0.37  % Model    : x86_64 x86_64
% 0.12/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37  % Memory   : 8042.1875MB
% 0.12/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.37  % CPULimit : 300
% 0.12/0.37  % WCLimit  : 300
% 0.12/0.37  % DateTime : Tue May 30 10:16:07 EDT 2023
% 0.12/0.37  % CPUTime  : 
% 0.12/0.38  % Drodi V3.5.1
% 0.19/0.39  % Refutation found
% 0.19/0.39  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.39  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.23/0.60  % Elapsed time: 0.009912 seconds
% 0.23/0.60  % CPU time: 0.030193 seconds
% 0.23/0.60  % Memory used: 1.829 MB
%------------------------------------------------------------------------------