TSTP Solution File: GEO258+3 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GEO258+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% 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 : Fri May  3 02:17:17 EDT 2024

% Result   : Theorem 0.90s 1.18s
% 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(f10,axiom,
    ! [X3,X2,X5,X6] :
      ( between_on_line(X3,X2,X5,X6)
    <=> ( ( before_on_line(X3,X5,X2)
          & before_on_line(X3,X6,X5) )
        | ( before_on_line(X3,X5,X6)
          & before_on_line(X3,X2,X5) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a9_defns) ).

fof(f37,conjecture,
    ! [X3,X2,X5,X6] :
      ( between_on_line(X3,X2,X5,X6)
     => between_on_line(X3,X6,X5,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

fof(f38,negated_conjecture,
    ~ ! [X3,X2,X5,X6] :
        ( between_on_line(X3,X2,X5,X6)
       => between_on_line(X3,X6,X5,X2) ),
    inference(negated_conjecture,[],[f37]) ).

fof(f43,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,[],[f10]) ).

fof(f70,plain,
    ~ ! [X0,X1,X2,X3] :
        ( between_on_line(X0,X1,X2,X3)
       => between_on_line(X0,X3,X2,X1) ),
    inference(rectify,[],[f38]) ).

fof(f108,plain,
    ? [X0,X1,X2,X3] :
      ( ~ between_on_line(X0,X3,X2,X1)
      & between_on_line(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f70]) ).

fof(f112,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,[],[f43]) ).

fof(f113,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,[],[f112]) ).

fof(f114,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(f115,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])],[f108,f114]) ).

fof(f126,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,[],[f113]) ).

fof(f127,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,[],[f113]) ).

fof(f128,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,[],[f113]) ).

fof(f129,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,[],[f113]) ).

fof(f130,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,[],[f113]) ).

fof(f131,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,[],[f113]) ).

fof(f165,plain,
    between_on_line(sK0,sK1,sK2,sK3),
    inference(cnf_transformation,[],[f115]) ).

fof(f166,plain,
    ~ between_on_line(sK0,sK3,sK2,sK1),
    inference(cnf_transformation,[],[f115]) ).

cnf(c_59,plain,
    ( ~ before_on_line(X0,X1,X2)
    | ~ before_on_line(X0,X3,X1)
    | between_on_line(X0,X2,X1,X3) ),
    inference(cnf_transformation,[],[f131]) ).

cnf(c_60,plain,
    ( ~ before_on_line(X0,X1,X2)
    | ~ before_on_line(X0,X2,X3)
    | between_on_line(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f130]) ).

cnf(c_61,plain,
    ( ~ between_on_line(X0,X1,X2,X3)
    | before_on_line(X0,X2,X1)
    | before_on_line(X0,X2,X3) ),
    inference(cnf_transformation,[],[f129]) ).

cnf(c_62,plain,
    ( ~ between_on_line(X0,X1,X2,X3)
    | before_on_line(X0,X1,X2)
    | before_on_line(X0,X2,X1) ),
    inference(cnf_transformation,[],[f128]) ).

cnf(c_63,plain,
    ( ~ between_on_line(X0,X1,X2,X3)
    | before_on_line(X0,X2,X3)
    | before_on_line(X0,X3,X2) ),
    inference(cnf_transformation,[],[f127]) ).

cnf(c_64,plain,
    ( ~ between_on_line(X0,X1,X2,X3)
    | before_on_line(X0,X1,X2)
    | before_on_line(X0,X3,X2) ),
    inference(cnf_transformation,[],[f126]) ).

cnf(c_98,negated_conjecture,
    ~ between_on_line(sK0,sK3,sK2,sK1),
    inference(cnf_transformation,[],[f166]) ).

cnf(c_99,negated_conjecture,
    between_on_line(sK0,sK1,sK2,sK3),
    inference(cnf_transformation,[],[f165]) ).

cnf(c_527,plain,
    ( ~ before_on_line(sK0,sK3,sK2)
    | ~ before_on_line(sK0,sK2,sK1) ),
    inference(resolution,[status(thm)],[c_60,c_98]) ).

cnf(c_534,plain,
    ( before_on_line(sK0,sK3,sK2)
    | before_on_line(sK0,sK1,sK2) ),
    inference(resolution,[status(thm)],[c_64,c_99]) ).

cnf(c_541,plain,
    ( before_on_line(sK0,sK3,sK2)
    | before_on_line(sK0,sK2,sK3) ),
    inference(resolution,[status(thm)],[c_63,c_99]) ).

cnf(c_548,plain,
    ( before_on_line(sK0,sK2,sK1)
    | before_on_line(sK0,sK1,sK2) ),
    inference(resolution,[status(thm)],[c_62,c_99]) ).

cnf(c_549,plain,
    before_on_line(sK0,sK1,sK2),
    inference(global_subsumption_just,[status(thm)],[c_548,c_527,c_534,c_548]) ).

cnf(c_554,plain,
    ( before_on_line(sK0,sK2,sK3)
    | before_on_line(sK0,sK2,sK1) ),
    inference(resolution,[status(thm)],[c_61,c_99]) ).

cnf(c_555,plain,
    before_on_line(sK0,sK2,sK3),
    inference(global_subsumption_just,[status(thm)],[c_554,c_527,c_541,c_554]) ).

cnf(c_560,plain,
    ( ~ before_on_line(sK0,sK2,sK3)
    | ~ before_on_line(sK0,sK1,sK2) ),
    inference(resolution,[status(thm)],[c_59,c_98]) ).

cnf(c_561,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_560,c_555,c_549]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : GEO258+3 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n031.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Fri May  3 02:00:31 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.90/1.18  % SZS status Started for theBenchmark.p
% 0.90/1.18  % SZS status Theorem for theBenchmark.p
% 0.90/1.18  
% 0.90/1.18  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.90/1.18  
% 0.90/1.18  ------  iProver source info
% 0.90/1.18  
% 0.90/1.18  git: date: 2024-05-02 19:28:25 +0000
% 0.90/1.18  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.90/1.18  git: non_committed_changes: false
% 0.90/1.18  
% 0.90/1.18  ------ Parsing...
% 0.90/1.18  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 0.90/1.18  
% 0.90/1.18  ------ Preprocessing... sf_s  rm: 13 0s  sf_e  pe_s 
% 0.90/1.18  
% 0.90/1.18  % SZS status Theorem for theBenchmark.p
% 0.90/1.18  
% 0.90/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.90/1.18  
% 0.90/1.18  
%------------------------------------------------------------------------------