TSTP Solution File: GEO171+2 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : GEO171+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n028.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 Aug 30 23:09:48 EDT 2023

% Result   : Theorem 0.48s 1.17s
% Output   : CNFRefutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   15 (   5 unt;   0 def)
%            Number of atoms       :   27 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   23 (  11   ~;   4   |;   4   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   16 (   0 sgn;  10   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f12,axiom,
    ! [X0,X1] :
      ( convergent_lines(X0,X1)
     => distinct_lines(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq3) ).

fof(f13,conjecture,
    ! [X0,X1] :
      ( convergent_lines(X0,X1)
     => distinct_lines(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

fof(f14,negated_conjecture,
    ~ ! [X0,X1] :
        ( convergent_lines(X0,X1)
       => distinct_lines(X0,X1) ),
    inference(negated_conjecture,[],[f13]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( distinct_lines(X0,X1)
      | ~ convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f33,plain,
    ? [X0,X1] :
      ( ~ distinct_lines(X0,X1)
      & convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f34,plain,
    ( ? [X0,X1] :
        ( ~ distinct_lines(X0,X1)
        & convergent_lines(X0,X1) )
   => ( ~ distinct_lines(sK0,sK1)
      & convergent_lines(sK0,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f35,plain,
    ( ~ distinct_lines(sK0,sK1)
    & convergent_lines(sK0,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f33,f34]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( distinct_lines(X0,X1)
      | ~ convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f50,plain,
    convergent_lines(sK0,sK1),
    inference(cnf_transformation,[],[f35]) ).

fof(f51,plain,
    ~ distinct_lines(sK0,sK1),
    inference(cnf_transformation,[],[f35]) ).

cnf(c_62,plain,
    ( ~ convergent_lines(X0,X1)
    | distinct_lines(X0,X1) ),
    inference(cnf_transformation,[],[f49]) ).

cnf(c_63,negated_conjecture,
    ~ distinct_lines(sK0,sK1),
    inference(cnf_transformation,[],[f51]) ).

cnf(c_64,negated_conjecture,
    convergent_lines(sK0,sK1),
    inference(cnf_transformation,[],[f50]) ).

cnf(c_172,plain,
    ( ~ convergent_lines(sK0,sK1)
    | distinct_lines(sK0,sK1) ),
    inference(instantiation,[status(thm)],[c_62]) ).

cnf(c_173,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_172,c_63,c_64]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GEO171+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14  % Command  : run_iprover %s %d THM
% 0.15/0.35  % Computer : n028.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Tue Aug 29 19:10:26 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.48/1.17  % SZS status Started for theBenchmark.p
% 0.48/1.17  % SZS status Theorem for theBenchmark.p
% 0.48/1.17  
% 0.48/1.17  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.48/1.17  
% 0.48/1.17  ------  iProver source info
% 0.48/1.17  
% 0.48/1.17  git: date: 2023-05-31 18:12:56 +0000
% 0.48/1.17  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.48/1.17  git: non_committed_changes: false
% 0.48/1.17  git: last_make_outside_of_git: false
% 0.48/1.17  
% 0.48/1.17  ------ Parsing...
% 0.48/1.17  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 0.48/1.17  
% 0.48/1.17  ------ Preprocessing... sf_s  rm: 9 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 0.48/1.17  
% 0.48/1.17  ------ Preprocessing...------  preprocesses with Option_epr_non_horn_non_eq
% 0.48/1.17   gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.48/1.17  ------ Proving...
% 0.48/1.17  ------ Problem Properties 
% 0.48/1.17  
% 0.48/1.17  
% 0.48/1.17  clauses                                 7
% 0.48/1.17  conjectures                             2
% 0.48/1.17  EPR                                     7
% 0.48/1.17  Horn                                    5
% 0.48/1.17  unary                                   4
% 0.48/1.17  binary                                  1
% 0.48/1.17  lits                                    12
% 0.48/1.17  lits eq                                 0
% 0.48/1.17  fd_pure                                 0
% 0.48/1.17  fd_pseudo                               0
% 0.48/1.17  fd_cond                                 0
% 0.48/1.17  fd_pseudo_cond                          0
% 0.48/1.17  AC symbols                              0
% 0.48/1.17  
% 0.48/1.17  ------ Schedule EPR non Horn non eq is on
% 0.48/1.17  
% 0.48/1.17  ------ no equalities: superposition off 
% 0.48/1.17  
% 0.48/1.17  ------ Input Options "--resolution_flag false" Time Limit: 70.
% 0.48/1.17  
% 0.48/1.17  
% 0.48/1.17  ------ 
% 0.48/1.17  Current options:
% 0.48/1.17  ------ 
% 0.48/1.17  
% 0.48/1.17  
% 0.48/1.17  
% 0.48/1.17  
% 0.48/1.17  ------ Proving...
% 0.48/1.17  
% 0.48/1.17  
% 0.48/1.17  % SZS status Theorem for theBenchmark.p
% 0.48/1.17  
% 0.48/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.48/1.17  
% 0.48/1.17  
%------------------------------------------------------------------------------