↑ Up

Drodi---4.1.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SWW383+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 03:07:45 PM UTC 2026

% Result   : Theorem 30.24s 4.90s
% Output   : CNFRefutation 30.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (   9 unt;   0 def)
%            Number of atoms       :   23 (   7 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   18 (   9   ~;   7   |;   0   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f6,axiom,
    ! [V_b,V_pn] :
      ( c_Com_OWT__bodies
     => ( hAPP(c_Com_Obody,V_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),V_b)
       => hBOOL(hAPP(c_Com_OWT,V_b)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5242,hypothesis,
    c_Com_OWT__bodies,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5246,hypothesis,
    hAPP(c_Com_Obody,v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5248,conjecture,
    hBOOL(hAPP(c_Com_OWT,v_y)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5249,negated_conjecture,
    ~ hBOOL(hAPP(c_Com_OWT,v_y)),
    inference(negated_conjecture,[status(cth)],[f5248]) ).

fof(f5264,plain,
    ! [V_b,V_pn] :
      ( hBOOL(hAPP(c_Com_OWT,V_b))
      | hAPP(c_Com_Obody,V_pn) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),V_b)
      | ~ c_Com_OWT__bodies ),
    inference(pre_NNF_transformation,[status(thm)],[f6]) ).

fof(f5265,plain,
    ( ! [V_b] :
        ( hBOOL(hAPP(c_Com_OWT,V_b))
        | ! [V_pn] : hAPP(c_Com_Obody,V_pn) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),V_b) )
    | ~ c_Com_OWT__bodies ),
    inference(miniscoping,[status(thm)],[f5264]) ).

fof(f5266,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(c_Com_OWT,X1))
      | hAPP(c_Com_Obody,X0) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X1)
      | ~ c_Com_OWT__bodies ),
    inference(cnf_transformation,[status(thm)],[f5265]) ).

fof(f19985,plain,
    c_Com_OWT__bodies,
    inference(cnf_transformation,[status(thm)],[f5242]) ).

fof(f19989,plain,
    hAPP(c_Com_Obody,v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y),
    inference(cnf_transformation,[status(thm)],[f5246]) ).

fof(f19991,plain,
    ~ hBOOL(hAPP(c_Com_OWT,v_y)),
    inference(cnf_transformation,[status(thm)],[f5249]) ).

fof(f20774,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(c_Com_OWT,X1))
      | hAPP(c_Com_Obody,X0) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f5266,f19985]) ).

fof(f28368,plain,
    hBOOL(hAPP(c_Com_OWT,v_y)),
    inference(resolution,[status(thm)],[f19989,f20774]) ).

fof(f28410,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f28368,f19991]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWW383+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35  % Computer : n007.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Mon Sep 21 09:48:05 UTC 2026
% 0.08/0.36  % CPUTime  : 
% 0.77/1.05  % Drodi V4.1.1
% 30.24/4.90  % Refutation found
% 30.24/4.90  % SZS status Theorem for theBenchmark: Theorem is valid
% 30.24/4.90  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 22.69/4.97  % Elapsed time: 4.597448 seconds
% 22.69/4.97  % CPU time: 31.013626 seconds
% 22.69/4.97  % Total memory used: 901.717 MB
% 22.69/4.97  % Net memory used: 886.430 MB
%------------------------------------------------------------------------------