TSTP Solution File: SYN563-1 by Drodi---3.6.0

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%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN563-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n019.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 : Tue Apr 30 20:52:32 EDT 2024

% Result   : Unsatisfiable 0.15s 0.36s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   32 (  17 unt;   0 def)
%            Number of atoms       :   57 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   52 (  27   ~;  25   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :   43 (  43   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ! [X0] : p2(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ! [X22] : p6(X22,X22),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,negated_conjecture,
    p2(f4(c7),f4(c8)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,negated_conjecture,
    ~ p6(f4(c7),f3(f4(c8))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,negated_conjecture,
    ! [X16] : p5(f3(f3(X16)),f3(f4(X16))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,negated_conjecture,
    ! [X27] :
      ( p6(c7,f3(X27))
      | ~ p6(c7,X27) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,negated_conjecture,
    ! [X10,X11] :
      ( p6(f4(X10),X11)
      | ~ p5(X10,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,negated_conjecture,
    ! [X3,X4] :
      ( p2(f3(X3),f3(X4))
      | ~ p2(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f15,negated_conjecture,
    ! [X7,X8,X9] :
      ( p5(X7,X8)
      | ~ p5(X9,X8)
      | ~ p6(X7,X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f17,negated_conjecture,
    ! [X12,X13,X15,X14] :
      ( p5(X12,X13)
      | ~ p2(X15,X13)
      | ~ p5(X14,X15)
      | ~ p2(X14,X12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f18,plain,
    ! [X0] : p2(X0,X0),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f19,plain,
    ! [X0] : p6(X0,X0),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f21,plain,
    p2(f4(c7),f4(c8)),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f22,plain,
    ~ p6(f4(c7),f3(f4(c8))),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f24,plain,
    ! [X0] : p5(f3(f3(X0)),f3(f4(X0))),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f26,plain,
    ! [X0] :
      ( p6(c7,f3(X0))
      | ~ p6(c7,X0) ),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( p6(f4(X0),X1)
      | ~ p5(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( p2(f3(X0),f3(X1))
      | ~ p2(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f11]) ).

fof(f34,plain,
    ! [X7,X9] :
      ( ! [X8] :
          ( p5(X7,X8)
          | ~ p5(X9,X8) )
      | ~ p6(X7,X9) ),
    inference(miniscoping,[status(esa)],[f15]) ).

fof(f35,plain,
    ! [X0,X1,X2] :
      ( p5(X0,X1)
      | ~ p5(X2,X1)
      | ~ p6(X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f34]) ).

fof(f38,plain,
    ! [X12,X14] :
      ( ! [X15] :
          ( ! [X13] :
              ( p5(X12,X13)
              | ~ p2(X15,X13) )
          | ~ p5(X14,X15) )
      | ~ p2(X14,X12) ),
    inference(miniscoping,[status(esa)],[f17]) ).

fof(f39,plain,
    ! [X0,X1,X2,X3] :
      ( p5(X0,X1)
      | ~ p2(X2,X1)
      | ~ p5(X3,X2)
      | ~ p2(X3,X0) ),
    inference(cnf_transformation,[status(esa)],[f38]) ).

fof(f55,plain,
    p6(c7,f3(c7)),
    inference(resolution,[status(thm)],[f26,f19]) ).

fof(f56,plain,
    p2(f3(f4(c7)),f3(f4(c8))),
    inference(resolution,[status(thm)],[f28,f21]) ).

fof(f60,plain,
    p6(c7,f3(f3(c7))),
    inference(resolution,[status(thm)],[f55,f26]) ).

fof(f87,plain,
    ! [X0,X1] :
      ( p5(X0,f3(f4(X1)))
      | ~ p6(X0,f3(f3(X1))) ),
    inference(resolution,[status(thm)],[f35,f24]) ).

fof(f133,plain,
    ! [X0,X1,X2] :
      ( p5(X0,X1)
      | ~ p2(X2,X1)
      | ~ p5(X0,X2) ),
    inference(resolution,[status(thm)],[f39,f18]) ).

fof(f320,plain,
    p5(c7,f3(f4(c7))),
    inference(resolution,[status(thm)],[f87,f60]) ).

fof(f363,plain,
    ! [X0] :
      ( p5(c7,X0)
      | ~ p2(f3(f4(c7)),X0) ),
    inference(resolution,[status(thm)],[f133,f320]) ).

fof(f1117,plain,
    p5(c7,f3(f4(c8))),
    inference(resolution,[status(thm)],[f363,f56]) ).

fof(f1122,plain,
    p6(f4(c7),f3(f4(c8))),
    inference(resolution,[status(thm)],[f1117,f27]) ).

fof(f1123,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f1122,f22]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem  : SYN563-1 : TPTP v8.1.2. Released v2.5.0.
% 0.05/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30  % Computer : n019.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 300
% 0.10/0.31  % DateTime : Mon Apr 29 21:56:14 EDT 2024
% 0.10/0.31  % CPUTime  : 
% 0.15/0.31  % Drodi V3.6.0
% 0.15/0.36  % Refutation found
% 0.15/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.38  % Elapsed time: 0.059671 seconds
% 0.15/0.38  % CPU time: 0.398043 seconds
% 0.15/0.38  % Total memory used: 39.976 MB
% 0.15/0.38  % Net memory used: 38.503 MB
%------------------------------------------------------------------------------