TSTP Solution File: GEO258+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : GEO258+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n024.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 23:10:44 EDT 2023

% Result   : Theorem 0.90s 1.17s
% Output   : CNFRefutation 0.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   35 (   7 unt;   0 def)
%            Number of atoms       :   99 (   0 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  102 (  38   ~;  42   |;  16   &)
%                                         (   2 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   84 (   2 sgn;  52   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [X1,X0,X3,X4] :
      ( between_on_line(X1,X0,X3,X4)
    <=> ( ( before_on_line(X1,X3,X0)
          & before_on_line(X1,X4,X3) )
        | ( before_on_line(X1,X3,X4)
          & before_on_line(X1,X0,X3) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bet_def) ).

fof(f32,conjecture,
    ! [X1,X0,X3,X4] :
      ( between_on_line(X1,X0,X3,X4)
     => between_on_line(X1,X4,X3,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

fof(f33,negated_conjecture,
    ~ ! [X1,X0,X3,X4] :
        ( between_on_line(X1,X0,X3,X4)
       => between_on_line(X1,X4,X3,X0) ),
    inference(negated_conjecture,[],[f32]) ).

fof(f37,plain,
    ! [X0,X1,X2,X3] :
      ( between_on_line(X0,X1,X2,X3)
    <=> ( ( before_on_line(X0,X2,X1)
          & before_on_line(X0,X3,X2) )
        | ( before_on_line(X0,X2,X3)
          & before_on_line(X0,X1,X2) ) ) ),
    inference(rectify,[],[f5]) ).

fof(f59,plain,
    ~ ! [X0,X1,X2,X3] :
        ( between_on_line(X0,X1,X2,X3)
       => between_on_line(X0,X3,X2,X1) ),
    inference(rectify,[],[f33]) ).

fof(f98,plain,
    ? [X0,X1,X2,X3] :
      ( ~ between_on_line(X0,X3,X2,X1)
      & between_on_line(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f59]) ).

fof(f101,plain,
    ! [X0,X1,X2,X3] :
      ( ( between_on_line(X0,X1,X2,X3)
        | ( ( ~ before_on_line(X0,X2,X1)
            | ~ before_on_line(X0,X3,X2) )
          & ( ~ before_on_line(X0,X2,X3)
            | ~ before_on_line(X0,X1,X2) ) ) )
      & ( ( before_on_line(X0,X2,X1)
          & before_on_line(X0,X3,X2) )
        | ( before_on_line(X0,X2,X3)
          & before_on_line(X0,X1,X2) )
        | ~ between_on_line(X0,X1,X2,X3) ) ),
    inference(nnf_transformation,[],[f37]) ).

fof(f102,plain,
    ! [X0,X1,X2,X3] :
      ( ( between_on_line(X0,X1,X2,X3)
        | ( ( ~ before_on_line(X0,X2,X1)
            | ~ before_on_line(X0,X3,X2) )
          & ( ~ before_on_line(X0,X2,X3)
            | ~ before_on_line(X0,X1,X2) ) ) )
      & ( ( before_on_line(X0,X2,X1)
          & before_on_line(X0,X3,X2) )
        | ( before_on_line(X0,X2,X3)
          & before_on_line(X0,X1,X2) )
        | ~ between_on_line(X0,X1,X2,X3) ) ),
    inference(flattening,[],[f101]) ).

fof(f103,plain,
    ( ? [X0,X1,X2,X3] :
        ( ~ between_on_line(X0,X3,X2,X1)
        & between_on_line(X0,X1,X2,X3) )
   => ( ~ between_on_line(sK0,sK3,sK2,sK1)
      & between_on_line(sK0,sK1,sK2,sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f104,plain,
    ( ~ between_on_line(sK0,sK3,sK2,sK1)
    & between_on_line(sK0,sK1,sK2,sK3) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f98,f103]) ).

fof(f114,plain,
    ! [X2,X3,X0,X1] :
      ( before_on_line(X0,X3,X2)
      | before_on_line(X0,X1,X2)
      | ~ between_on_line(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f115,plain,
    ! [X2,X3,X0,X1] :
      ( before_on_line(X0,X3,X2)
      | before_on_line(X0,X2,X3)
      | ~ between_on_line(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f116,plain,
    ! [X2,X3,X0,X1] :
      ( before_on_line(X0,X2,X1)
      | before_on_line(X0,X1,X2)
      | ~ between_on_line(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f117,plain,
    ! [X2,X3,X0,X1] :
      ( before_on_line(X0,X2,X1)
      | before_on_line(X0,X2,X3)
      | ~ between_on_line(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f118,plain,
    ! [X2,X3,X0,X1] :
      ( between_on_line(X0,X1,X2,X3)
      | ~ before_on_line(X0,X2,X3)
      | ~ before_on_line(X0,X1,X2) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f119,plain,
    ! [X2,X3,X0,X1] :
      ( between_on_line(X0,X1,X2,X3)
      | ~ before_on_line(X0,X2,X1)
      | ~ before_on_line(X0,X3,X2) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f153,plain,
    between_on_line(sK0,sK1,sK2,sK3),
    inference(cnf_transformation,[],[f104]) ).

fof(f154,plain,
    ~ between_on_line(sK0,sK3,sK2,sK1),
    inference(cnf_transformation,[],[f104]) ).

cnf(c_58,plain,
    ( ~ before_on_line(X0,X1,X2)
    | ~ before_on_line(X0,X3,X1)
    | between_on_line(X0,X2,X1,X3) ),
    inference(cnf_transformation,[],[f119]) ).

cnf(c_59,plain,
    ( ~ before_on_line(X0,X1,X2)
    | ~ before_on_line(X0,X2,X3)
    | between_on_line(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f118]) ).

cnf(c_60,plain,
    ( ~ between_on_line(X0,X1,X2,X3)
    | before_on_line(X0,X2,X1)
    | before_on_line(X0,X2,X3) ),
    inference(cnf_transformation,[],[f117]) ).

cnf(c_61,plain,
    ( ~ between_on_line(X0,X1,X2,X3)
    | before_on_line(X0,X1,X2)
    | before_on_line(X0,X2,X1) ),
    inference(cnf_transformation,[],[f116]) ).

cnf(c_62,plain,
    ( ~ between_on_line(X0,X1,X2,X3)
    | before_on_line(X0,X2,X3)
    | before_on_line(X0,X3,X2) ),
    inference(cnf_transformation,[],[f115]) ).

cnf(c_63,plain,
    ( ~ between_on_line(X0,X1,X2,X3)
    | before_on_line(X0,X1,X2)
    | before_on_line(X0,X3,X2) ),
    inference(cnf_transformation,[],[f114]) ).

cnf(c_97,negated_conjecture,
    ~ between_on_line(sK0,sK3,sK2,sK1),
    inference(cnf_transformation,[],[f154]) ).

cnf(c_98,negated_conjecture,
    between_on_line(sK0,sK1,sK2,sK3),
    inference(cnf_transformation,[],[f153]) ).

cnf(c_309,plain,
    ( ~ before_on_line(sK0,sK3,sK2)
    | ~ before_on_line(sK0,sK2,sK1) ),
    inference(resolution,[status(thm)],[c_59,c_97]) ).

cnf(c_316,plain,
    ( before_on_line(sK0,sK3,sK2)
    | before_on_line(sK0,sK1,sK2) ),
    inference(resolution,[status(thm)],[c_63,c_98]) ).

cnf(c_323,plain,
    ( before_on_line(sK0,sK3,sK2)
    | before_on_line(sK0,sK2,sK3) ),
    inference(resolution,[status(thm)],[c_62,c_98]) ).

cnf(c_330,plain,
    ( before_on_line(sK0,sK2,sK1)
    | before_on_line(sK0,sK1,sK2) ),
    inference(resolution,[status(thm)],[c_61,c_98]) ).

cnf(c_331,plain,
    before_on_line(sK0,sK1,sK2),
    inference(global_subsumption_just,[status(thm)],[c_330,c_309,c_316,c_330]) ).

cnf(c_336,plain,
    ( before_on_line(sK0,sK2,sK3)
    | before_on_line(sK0,sK2,sK1) ),
    inference(resolution,[status(thm)],[c_60,c_98]) ).

cnf(c_337,plain,
    before_on_line(sK0,sK2,sK3),
    inference(global_subsumption_just,[status(thm)],[c_336,c_309,c_323,c_336]) ).

cnf(c_342,plain,
    ( ~ before_on_line(sK0,sK2,sK3)
    | ~ before_on_line(sK0,sK1,sK2) ),
    inference(resolution,[status(thm)],[c_58,c_97]) ).

cnf(c_343,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_342,c_337,c_331]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GEO258+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.07/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n024.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Tue Aug 29 21:53:38 EDT 2023
% 0.14/0.35  % 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
% 0.90/1.17  % SZS status Started for theBenchmark.p
% 0.90/1.17  % SZS status Theorem for theBenchmark.p
% 0.90/1.17  
% 0.90/1.17  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.90/1.17  
% 0.90/1.17  ------  iProver source info
% 0.90/1.17  
% 0.90/1.17  git: date: 2023-05-31 18:12:56 +0000
% 0.90/1.17  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.90/1.17  git: non_committed_changes: false
% 0.90/1.17  git: last_make_outside_of_git: false
% 0.90/1.17  
% 0.90/1.17  ------ Parsing...
% 0.90/1.17  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 0.90/1.17  
% 0.90/1.17  ------ Preprocessing... sf_s  rm: 13 0s  sf_e  pe_s 
% 0.90/1.17  
% 0.90/1.17  % SZS status Theorem for theBenchmark.p
% 0.90/1.17  
% 0.90/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.90/1.17  
% 0.90/1.17  
%------------------------------------------------------------------------------