TSTP Solution File: CSR031+3 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : CSR031+3 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n032.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 20:14:25 EDT 2024

% Result   : Theorem 1.94s 0.74s
% Output   : CNFRefutation 1.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   27 (  11 unt;   0 def)
%            Number of atoms       :   43 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   34 (  18   ~;  11   |;   1   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   29 (  29   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f23,axiom,
    ! [ARG1,ARG2] :
      ( no(ARG1,ARG2)
     => few(ARG1,ARG2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f220,axiom,
    ! [OBJ] :
      ~ ( individual(OBJ)
        & setorcollection(OBJ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f374,axiom,
    ! [ARG1,ARG2] :
      ( disjointwith(ARG1,ARG2)
     => no(ARG1,ARG2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f781,axiom,
    individual(c_tptptptpcol_16_8398),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2149,axiom,
    ! [ARG1,ARG2] :
      ( few(ARG1,ARG2)
     => setorcollection(ARG2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7584,axiom,
    ! [X,Y] :
      ( disjointwith(X,Y)
     => disjointwith(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8006,conjecture,
    ~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8007,negated_conjecture,
    ~ ~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
    inference(negated_conjecture,[status(cth)],[f8006]) ).

fof(f8035,plain,
    ! [ARG1,ARG2] :
      ( ~ no(ARG1,ARG2)
      | few(ARG1,ARG2) ),
    inference(pre_NNF_transformation,[status(esa)],[f23]) ).

fof(f8036,plain,
    ! [X0,X1] :
      ( ~ no(X0,X1)
      | few(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f8035]) ).

fof(f8298,plain,
    ! [OBJ] :
      ( ~ individual(OBJ)
      | ~ setorcollection(OBJ) ),
    inference(pre_NNF_transformation,[status(esa)],[f220]) ).

fof(f8299,plain,
    ! [X0] :
      ( ~ individual(X0)
      | ~ setorcollection(X0) ),
    inference(cnf_transformation,[status(esa)],[f8298]) ).

fof(f8511,plain,
    ! [ARG1,ARG2] :
      ( ~ disjointwith(ARG1,ARG2)
      | no(ARG1,ARG2) ),
    inference(pre_NNF_transformation,[status(esa)],[f374]) ).

fof(f8512,plain,
    ! [X0,X1] :
      ( ~ disjointwith(X0,X1)
      | no(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f8511]) ).

fof(f9086,plain,
    individual(c_tptptptpcol_16_8398),
    inference(cnf_transformation,[status(esa)],[f781]) ).

fof(f11023,plain,
    ! [ARG1,ARG2] :
      ( ~ few(ARG1,ARG2)
      | setorcollection(ARG2) ),
    inference(pre_NNF_transformation,[status(esa)],[f2149]) ).

fof(f11024,plain,
    ! [ARG2] :
      ( ! [ARG1] : ~ few(ARG1,ARG2)
      | setorcollection(ARG2) ),
    inference(miniscoping,[status(esa)],[f11023]) ).

fof(f11025,plain,
    ! [X0,X1] :
      ( ~ few(X0,X1)
      | setorcollection(X1) ),
    inference(cnf_transformation,[status(esa)],[f11024]) ).

fof(f20546,plain,
    ! [X,Y] :
      ( ~ disjointwith(X,Y)
      | disjointwith(Y,X) ),
    inference(pre_NNF_transformation,[status(esa)],[f7584]) ).

fof(f20547,plain,
    ! [X0,X1] :
      ( ~ disjointwith(X0,X1)
      | disjointwith(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f20546]) ).

fof(f21391,plain,
    disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
    inference(cnf_transformation,[status(esa)],[f8007]) ).

fof(f24609,plain,
    disjointwith(c_tptpcol_16_18488,c_tptptptpcol_16_8398),
    inference(resolution,[status(thm)],[f20547,f21391]) ).

fof(f25030,plain,
    no(c_tptpcol_16_18488,c_tptptptpcol_16_8398),
    inference(resolution,[status(thm)],[f8512,f24609]) ).

fof(f25043,plain,
    few(c_tptpcol_16_18488,c_tptptptpcol_16_8398),
    inference(resolution,[status(thm)],[f25030,f8036]) ).

fof(f38324,plain,
    setorcollection(c_tptptptpcol_16_8398),
    inference(resolution,[status(thm)],[f11025,f25043]) ).

fof(f38330,plain,
    ~ individual(c_tptptptpcol_16_8398),
    inference(resolution,[status(thm)],[f38324,f8299]) ).

fof(f38331,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f38330,f9086]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12  % Problem  : CSR031+3 : TPTP v8.1.2. Released v3.4.0.
% 0.09/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.34  % Computer : n032.cluster.edu
% 0.10/0.34  % Model    : x86_64 x86_64
% 0.10/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34  % Memory   : 8042.1875MB
% 0.10/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.34  % CPULimit : 300
% 0.10/0.34  % WCLimit  : 300
% 0.10/0.34  % DateTime : Mon Apr 29 23:50:35 EDT 2024
% 0.10/0.34  % CPUTime  : 
% 0.16/0.45  % Drodi V3.6.0
% 1.94/0.74  % Refutation found
% 1.94/0.74  % SZS status Theorem for theBenchmark: Theorem is valid
% 1.94/0.74  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.38/0.80  % Elapsed time: 0.451446 seconds
% 2.38/0.80  % CPU time: 2.375621 seconds
% 2.38/0.80  % Total memory used: 431.620 MB
% 2.38/0.80  % Net memory used: 420.765 MB
%------------------------------------------------------------------------------