TSTP Solution File: SWV860-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SWV860-1 : TPTP v8.1.2. Released v4.1.0.
% 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 : Tue Apr 30 20:49:27 EDT 2024

% Result   : Unsatisfiable 0.20s 0.39s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (   9 unt;   0 def)
%            Number of atoms       :   15 (   4 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   6   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f484,axiom,
    ! [V_t,V_s,V_n] :
      ( V_t = V_s
      | ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_t) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f485,negated_conjecture,
    hBOOL(hAPP(hAPP(v_P,v_x),v_xa)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f486,negated_conjecture,
    c_Natural_Oevaln(c_Com_Ocom_OSKIP,v_xa,v_n,v_xb),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f487,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(v_P,v_x),v_xb)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1261,plain,
    ! [V_t,V_s] :
      ( V_t = V_s
      | ! [V_n] : ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_t) ),
    inference(miniscoping,[status(esa)],[f484]) ).

fof(f1262,plain,
    ! [X0,X1,X2] :
      ( X0 = X1
      | ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,X2,X0) ),
    inference(cnf_transformation,[status(esa)],[f1261]) ).

fof(f1263,plain,
    hBOOL(hAPP(hAPP(v_P,v_x),v_xa)),
    inference(cnf_transformation,[status(esa)],[f485]) ).

fof(f1264,plain,
    c_Natural_Oevaln(c_Com_Ocom_OSKIP,v_xa,v_n,v_xb),
    inference(cnf_transformation,[status(esa)],[f486]) ).

fof(f1265,plain,
    ~ hBOOL(hAPP(hAPP(v_P,v_x),v_xb)),
    inference(cnf_transformation,[status(esa)],[f487]) ).

fof(f1328,plain,
    v_xb = v_xa,
    inference(resolution,[status(thm)],[f1262,f1264]) ).

fof(f1329,plain,
    ~ hBOOL(hAPP(hAPP(v_P,v_x),v_xa)),
    inference(backward_demodulation,[status(thm)],[f1328,f1265]) ).

fof(f1330,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f1329,f1263]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : SWV860-1 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n014.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue Apr 30 00:47:19 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.20/0.38  % Drodi V3.6.0
% 0.20/0.39  % Refutation found
% 0.20/0.39  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.39  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.40  % Elapsed time: 0.053496 seconds
% 0.20/0.40  % CPU time: 0.081920 seconds
% 0.20/0.40  % Total memory used: 20.853 MB
% 0.20/0.40  % Net memory used: 20.808 MB
%------------------------------------------------------------------------------