TSTP Solution File: GEO087-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GEO087-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n031.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 12:07:44 EDT 2023

% Result   : Unsatisfiable 0.13s 0.37s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   24 (  11 unt;   0 def)
%            Number of atoms       :   47 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   54 (  31   ~;  23   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   40 (;  40   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [A,B,C] :
      ( ~ part_of(A,B)
      | ~ incident_c(C,A)
      | incident_c(C,B) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f21,axiom,
    ! [A,B] :
      ( ~ inner_point(A,B)
      | incident_c(A,B) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f22,axiom,
    ! [A,B] :
      ( ~ inner_point(A,B)
      | ~ end_point(A,B) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f26,axiom,
    ! [A,B,C,D] :
      ( ~ meet(A,B,C)
      | ~ incident_c(D,B)
      | ~ incident_c(D,C)
      | end_point(D,B) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f37,axiom,
    ! [A] : inner_point(ax0_sk8(A),A),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f49,negated_conjecture,
    part_of(sk14,sk15),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f50,negated_conjecture,
    meet(sk16,sk14,sk15),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f51,plain,
    ! [B,C] :
      ( ! [A] :
          ( ~ part_of(A,B)
          | ~ incident_c(C,A) )
      | incident_c(C,B) ),
    inference(miniscoping,[status(esa)],[f1]) ).

fof(f52,plain,
    ! [X0,X1,X2] :
      ( ~ part_of(X0,X1)
      | ~ incident_c(X2,X0)
      | incident_c(X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f51]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( ~ inner_point(X0,X1)
      | incident_c(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f21]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( ~ inner_point(X0,X1)
      | ~ end_point(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f22]) ).

fof(f83,plain,
    ! [B,D] :
      ( ! [C] :
          ( ! [A] : ~ meet(A,B,C)
          | ~ incident_c(D,B)
          | ~ incident_c(D,C) )
      | end_point(D,B) ),
    inference(miniscoping,[status(esa)],[f26]) ).

fof(f84,plain,
    ! [X0,X1,X2,X3] :
      ( ~ meet(X0,X1,X2)
      | ~ incident_c(X3,X1)
      | ~ incident_c(X3,X2)
      | end_point(X3,X1) ),
    inference(cnf_transformation,[status(esa)],[f83]) ).

fof(f100,plain,
    ! [X0] : inner_point(ax0_sk8(X0),X0),
    inference(cnf_transformation,[status(esa)],[f37]) ).

fof(f115,plain,
    part_of(sk14,sk15),
    inference(cnf_transformation,[status(esa)],[f49]) ).

fof(f116,plain,
    meet(sk16,sk14,sk15),
    inference(cnf_transformation,[status(esa)],[f50]) ).

fof(f170,plain,
    ! [X0] : incident_c(ax0_sk8(X0),X0),
    inference(resolution,[status(thm)],[f76,f100]) ).

fof(f171,plain,
    ! [X0] : ~ end_point(ax0_sk8(X0),X0),
    inference(resolution,[status(thm)],[f77,f100]) ).

fof(f174,plain,
    ! [X0,X1,X2] :
      ( ~ meet(X0,X1,X2)
      | ~ incident_c(ax0_sk8(X1),X1)
      | ~ incident_c(ax0_sk8(X1),X2) ),
    inference(resolution,[status(thm)],[f171,f84]) ).

fof(f175,plain,
    ! [X0,X1,X2] :
      ( ~ meet(X0,X1,X2)
      | ~ incident_c(ax0_sk8(X1),X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f174,f170]) ).

fof(f233,plain,
    ~ incident_c(ax0_sk8(sk14),sk15),
    inference(resolution,[status(thm)],[f175,f116]) ).

fof(f234,plain,
    ! [X0] :
      ( ~ part_of(X0,sk15)
      | ~ incident_c(ax0_sk8(sk14),X0) ),
    inference(resolution,[status(thm)],[f233,f52]) ).

fof(f235,plain,
    ~ incident_c(ax0_sk8(sk14),sk14),
    inference(resolution,[status(thm)],[f234,f115]) ).

fof(f236,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f235,f170]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO087-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33  % Computer : n031.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Tue May 30 12:24:22 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.5.1
% 0.13/0.37  % Refutation found
% 0.13/0.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.37  % Elapsed time: 0.025194 seconds
% 0.13/0.37  % CPU time: 0.052364 seconds
% 0.13/0.37  % Memory used: 11.846 MB
%------------------------------------------------------------------------------