TSTP Solution File: SWV861-1 by Drodi---3.5.1

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%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWV861-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n012.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 12:44:08 EDT 2023

% Result   : Unsatisfiable 0.17s 0.62s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   19 (  10 unt;   0 def)
%            Number of atoms       :   35 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   36 (  20   ~;  16   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :   11 (  11 usr;  10 con; 0-2 aty)
%            Number of variables   :   22 (;  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f569,negated_conjecture,
    hBOOL(hAPP(hAPP(v_P,v_Z),v_s)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f570,negated_conjecture,
    c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f571,negated_conjecture,
    c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f572,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(v_R,v_Z),v_s_H)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f574,negated_conjecture,
    ! [V_Z,V_s_H,V_s] :
      ( hBOOL(hAPP(hAPP(v_Q,V_Z),V_s_H))
      | ~ c_Natural_Oevaln(v_c,V_s,v_n,V_s_H)
      | ~ hBOOL(hAPP(hAPP(v_P,V_Z),V_s)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f575,negated_conjecture,
    ! [V_Z,V_s_H,V_s] :
      ( hBOOL(hAPP(hAPP(v_R,V_Z),V_s_H))
      | ~ c_Natural_Oevaln(v_d,V_s,v_n,V_s_H)
      | ~ hBOOL(hAPP(hAPP(v_Q,V_Z),V_s)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1510,plain,
    hBOOL(hAPP(hAPP(v_P,v_Z),v_s)),
    inference(cnf_transformation,[status(esa)],[f569]) ).

fof(f1511,plain,
    c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
    inference(cnf_transformation,[status(esa)],[f570]) ).

fof(f1512,plain,
    c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H),
    inference(cnf_transformation,[status(esa)],[f571]) ).

fof(f1513,plain,
    ~ hBOOL(hAPP(hAPP(v_R,v_Z),v_s_H)),
    inference(cnf_transformation,[status(esa)],[f572]) ).

fof(f1515,plain,
    ! [V_Z,V_s] :
      ( ! [V_s_H] :
          ( hBOOL(hAPP(hAPP(v_Q,V_Z),V_s_H))
          | ~ c_Natural_Oevaln(v_c,V_s,v_n,V_s_H) )
      | ~ hBOOL(hAPP(hAPP(v_P,V_Z),V_s)) ),
    inference(miniscoping,[status(esa)],[f574]) ).

fof(f1516,plain,
    ! [X0,X1,X2] :
      ( hBOOL(hAPP(hAPP(v_Q,X0),X1))
      | ~ c_Natural_Oevaln(v_c,X2,v_n,X1)
      | ~ hBOOL(hAPP(hAPP(v_P,X0),X2)) ),
    inference(cnf_transformation,[status(esa)],[f1515]) ).

fof(f1517,plain,
    ! [V_Z,V_s] :
      ( ! [V_s_H] :
          ( hBOOL(hAPP(hAPP(v_R,V_Z),V_s_H))
          | ~ c_Natural_Oevaln(v_d,V_s,v_n,V_s_H) )
      | ~ hBOOL(hAPP(hAPP(v_Q,V_Z),V_s)) ),
    inference(miniscoping,[status(esa)],[f575]) ).

fof(f1518,plain,
    ! [X0,X1,X2] :
      ( hBOOL(hAPP(hAPP(v_R,X0),X1))
      | ~ c_Natural_Oevaln(v_d,X2,v_n,X1)
      | ~ hBOOL(hAPP(hAPP(v_Q,X0),X2)) ),
    inference(cnf_transformation,[status(esa)],[f1517]) ).

fof(f1561,plain,
    ! [X0] :
      ( hBOOL(hAPP(hAPP(v_Q,v_Z),X0))
      | ~ c_Natural_Oevaln(v_c,v_s,v_n,X0) ),
    inference(resolution,[status(thm)],[f1516,f1510]) ).

fof(f1563,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(hAPP(v_R,v_Z),X0))
      | ~ c_Natural_Oevaln(v_d,X1,v_n,X0)
      | ~ c_Natural_Oevaln(v_c,v_s,v_n,X1) ),
    inference(resolution,[status(thm)],[f1518,f1561]) ).

fof(f1564,plain,
    ! [X0] :
      ( ~ c_Natural_Oevaln(v_d,X0,v_n,v_s_H)
      | ~ c_Natural_Oevaln(v_c,v_s,v_n,X0) ),
    inference(resolution,[status(thm)],[f1563,f1513]) ).

fof(f1565,plain,
    ~ c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
    inference(resolution,[status(thm)],[f1564,f1512]) ).

fof(f1566,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f1565,f1511]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.10  % Problem  : SWV861-1 : TPTP v8.1.2. Released v4.1.0.
% 0.04/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30  % Computer : n012.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
% 0.10/0.30  % DateTime : Tue May 30 11:30:40 EDT 2023
% 0.10/0.31  % CPUTime  : 
% 0.14/0.34  % Drodi V3.5.1
% 0.17/0.62  % Refutation found
% 0.17/0.62  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.62  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.62  % Elapsed time: 0.094148 seconds
% 0.17/0.62  % CPU time: 0.048796 seconds
% 0.17/0.62  % Memory used: 5.395 MB
%------------------------------------------------------------------------------