TSTP Solution File: SYN613-1 by Drodi---3.5.1

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%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN613-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n014.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 12:47:14 EDT 2023

% Result   : Unsatisfiable 0.13s 0.36s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   39 (  17 unt;   0 def)
%            Number of atoms       :   83 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   88 (  44   ~;  42   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    7 (   6 usr;   3 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   6 con; 0-2 aty)
%            Number of variables   :   45 (;  45   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ! [X0] : p11(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,negated_conjecture,
    ! [X36] : p3(X36,X36),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,negated_conjecture,
    ! [X14] : p16(X14,X14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,negated_conjecture,
    p11(c23,f12(f9(c21))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,negated_conjecture,
    p11(c24,f12(f9(c21))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f15,negated_conjecture,
    ! [X1,X2,X0] :
      ( p11(X1,X2)
      | ~ p11(X0,X1)
      | ~ p11(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f21,negated_conjecture,
    p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c24),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f22,negated_conjecture,
    ~ p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c23),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f29,negated_conjecture,
    ! [X17,X18,X19,X22,X21,X20] :
      ( p17(X17,X18,X19)
      | ~ p3(X22,X18)
      | ~ p16(X21,X17)
      | ~ p11(X20,X19)
      | ~ p17(X21,X22,X20) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f32,plain,
    ! [X0] : p11(X0,X0),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f35,plain,
    ! [X0] : p3(X0,X0),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f37,plain,
    ! [X0] : p16(X0,X0),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f38,plain,
    p11(c23,f12(f9(c21))),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f39,plain,
    p11(c24,f12(f9(c21))),
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f46,plain,
    ! [X2,X0] :
      ( ! [X1] :
          ( p11(X1,X2)
          | ~ p11(X0,X1) )
      | ~ p11(X0,X2) ),
    inference(miniscoping,[status(esa)],[f15]) ).

fof(f47,plain,
    ! [X0,X1,X2] :
      ( p11(X0,X1)
      | ~ p11(X2,X0)
      | ~ p11(X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f46]) ).

fof(f58,plain,
    p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c24),
    inference(cnf_transformation,[status(esa)],[f21]) ).

fof(f59,plain,
    ~ p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c23),
    inference(cnf_transformation,[status(esa)],[f22]) ).

fof(f70,plain,
    ! [X22,X21,X20] :
      ( ! [X19] :
          ( ! [X17] :
              ( ! [X18] :
                  ( p17(X17,X18,X19)
                  | ~ p3(X22,X18) )
              | ~ p16(X21,X17) )
          | ~ p11(X20,X19) )
      | ~ p17(X21,X22,X20) ),
    inference(miniscoping,[status(esa)],[f29]) ).

fof(f71,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( p17(X0,X1,X2)
      | ~ p3(X3,X1)
      | ~ p16(X4,X0)
      | ~ p11(X5,X2)
      | ~ p17(X4,X3,X5) ),
    inference(cnf_transformation,[status(esa)],[f70]) ).

fof(f85,plain,
    ! [X0,X1,X2] :
      ( p17(X0,X1,X2)
      | ~ p3(f4(f7(f10(c20),f8(f9(c21),c22))),X1)
      | ~ p16(c19,X0)
      | ~ p11(c24,X2) ),
    inference(resolution,[status(thm)],[f71,f58]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( p17(c19,X0,X1)
      | ~ p3(f4(f7(f10(c20),f8(f9(c21),c22))),X0)
      | ~ p11(c24,X1) ),
    inference(resolution,[status(thm)],[f85,f37]) ).

fof(f90,plain,
    ( spl0_3
  <=> p3(f4(f7(f10(c20),f8(f9(c21),c22))),f4(f7(f10(c20),f8(f9(c21),c22)))) ),
    introduced(split_symbol_definition) ).

fof(f92,plain,
    ( ~ p3(f4(f7(f10(c20),f8(f9(c21),c22))),f4(f7(f10(c20),f8(f9(c21),c22))))
    | spl0_3 ),
    inference(component_clause,[status(thm)],[f90]) ).

fof(f93,plain,
    ( spl0_4
  <=> p11(c24,c23) ),
    introduced(split_symbol_definition) ).

fof(f95,plain,
    ( ~ p11(c24,c23)
    | spl0_4 ),
    inference(component_clause,[status(thm)],[f93]) ).

fof(f96,plain,
    ( ~ p3(f4(f7(f10(c20),f8(f9(c21),c22))),f4(f7(f10(c20),f8(f9(c21),c22))))
    | ~ p11(c24,c23) ),
    inference(resolution,[status(thm)],[f89,f59]) ).

fof(f97,plain,
    ( ~ spl0_3
    | ~ spl0_4 ),
    inference(split_clause,[status(thm)],[f96,f90,f93]) ).

fof(f99,plain,
    ( $false
    | spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f92,f35]) ).

fof(f100,plain,
    spl0_3,
    inference(contradiction_clause,[status(thm)],[f99]) ).

fof(f107,plain,
    ! [X0] :
      ( ~ p11(X0,c24)
      | ~ p11(X0,c23)
      | spl0_4 ),
    inference(resolution,[status(thm)],[f95,f47]) ).

fof(f109,plain,
    ! [X0,X1] :
      ( ~ p11(X0,c23)
      | ~ p11(X1,X0)
      | ~ p11(X1,c24)
      | spl0_4 ),
    inference(resolution,[status(thm)],[f107,f47]) ).

fof(f112,plain,
    ! [X0] :
      ( ~ p11(X0,c23)
      | ~ p11(c24,X0)
      | spl0_4 ),
    inference(resolution,[status(thm)],[f109,f32]) ).

fof(f113,plain,
    ! [X0,X1] :
      ( ~ p11(c24,X0)
      | ~ p11(X1,X0)
      | ~ p11(X1,c23)
      | spl0_4 ),
    inference(resolution,[status(thm)],[f112,f47]) ).

fof(f118,plain,
    ! [X0] :
      ( ~ p11(c24,X0)
      | ~ p11(c23,X0)
      | spl0_4 ),
    inference(resolution,[status(thm)],[f113,f32]) ).

fof(f119,plain,
    ( ~ p11(c23,f12(f9(c21)))
    | spl0_4 ),
    inference(resolution,[status(thm)],[f118,f39]) ).

fof(f120,plain,
    ( $false
    | spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f119,f38]) ).

fof(f121,plain,
    spl0_4,
    inference(contradiction_clause,[status(thm)],[f120]) ).

fof(f122,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f97,f100,f121]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SYN613-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n014.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Tue May 30 10:25:49 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.36  % Drodi V3.5.1
% 0.13/0.36  % Refutation found
% 0.13/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.23/0.58  % Elapsed time: 0.013184 seconds
% 0.23/0.58  % CPU time: 0.041212 seconds
% 0.23/0.58  % Memory used: 2.146 MB
%------------------------------------------------------------------------------