TSTP Solution File: SYN961+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN961+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% 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 : Fri May  3 03:33:43 EDT 2024

% Result   : Theorem 0.51s 1.00s
% Output   : CNFRefutation 0.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   14 (   7 unt;   0 def)
%            Number of atoms       :   29 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   30 (  15   ~;   6   |;   6   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   17 (   2 sgn  11   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ! [X0,X1] :
      ( ! [X2] : p(X2)
     => ( p(X1)
        & p(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

fof(f2,negated_conjecture,
    ~ ! [X0,X1] :
        ( ! [X2] : p(X2)
       => ( p(X1)
          & p(X0) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f3,plain,
    ? [X0,X1] :
      ( ( ~ p(X1)
        | ~ p(X0) )
      & ! [X2] : p(X2) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f4,plain,
    ( ? [X0,X1] :
        ( ( ~ p(X1)
          | ~ p(X0) )
        & ! [X2] : p(X2) )
   => ( ( ~ p(sK1)
        | ~ p(sK0) )
      & ! [X2] : p(X2) ) ),
    introduced(choice_axiom,[]) ).

fof(f5,plain,
    ( ( ~ p(sK1)
      | ~ p(sK0) )
    & ! [X2] : p(X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f3,f4]) ).

fof(f6,plain,
    ! [X2] : p(X2),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ( ~ p(sK1)
    | ~ p(sK0) ),
    inference(cnf_transformation,[],[f5]) ).

cnf(c_49,negated_conjecture,
    ( ~ p(sK1)
    | ~ p(sK0) ),
    inference(cnf_transformation,[],[f7]) ).

cnf(c_50,negated_conjecture,
    p(X0),
    inference(cnf_transformation,[],[f6]) ).

cnf(c_51,plain,
    p(sK0),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_52,negated_conjecture,
    ~ p(sK1),
    inference(global_subsumption_just,[status(thm)],[c_49,c_51,c_49]) ).

cnf(c_54,negated_conjecture,
    ~ p(sK1),
    inference(demodulation,[status(thm)],[c_52]) ).

cnf(c_55,negated_conjecture,
    p(X0),
    inference(demodulation,[status(thm)],[c_50]) ).

cnf(c_56,plain,
    $false,
    inference(resolution,[status(thm)],[c_54,c_55]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : SYN961+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.08  % Command  : run_iprover %s %d THM
% 0.07/0.27  % Computer : n032.cluster.edu
% 0.07/0.27  % Model    : x86_64 x86_64
% 0.07/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27  % Memory   : 8042.1875MB
% 0.07/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27  % CPULimit : 300
% 0.07/0.27  % WCLimit  : 300
% 0.07/0.27  % DateTime : Thu May  2 21:08:53 EDT 2024
% 0.07/0.27  % CPUTime  : 
% 0.11/0.35  Running first-order theorem proving
% 0.11/0.35  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.51/1.00  % SZS status Started for theBenchmark.p
% 0.51/1.00  % SZS status Theorem for theBenchmark.p
% 0.51/1.00  
% 0.51/1.00  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.51/1.00  
% 0.51/1.00  ------  iProver source info
% 0.51/1.00  
% 0.51/1.00  git: date: 2024-05-02 19:28:25 +0000
% 0.51/1.00  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.51/1.00  git: non_committed_changes: false
% 0.51/1.00  
% 0.51/1.00  ------ Parsing...
% 0.51/1.00  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_horn
% 0.51/1.00  
% 0.51/1.00  
% 0.51/1.00  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 0.51/1.00  
% 0.51/1.00  ------ Preprocessing...------  preprocesses with Option_epr_horn
% 0.51/1.00   gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.51/1.00  ------ Proving...
% 0.51/1.00  ------ Problem Properties 
% 0.51/1.00  
% 0.51/1.00  
% 0.51/1.00  clauses                                 2
% 0.51/1.00  conjectures                             2
% 0.51/1.00  EPR                                     2
% 0.51/1.00  Horn                                    2
% 0.51/1.00  unary                                   2
% 0.51/1.00  binary                                  0
% 0.51/1.00  lits                                    2
% 0.51/1.00  lits eq                                 0
% 0.51/1.00  fd_pure                                 0
% 0.51/1.00  fd_pseudo                               0
% 0.51/1.00  fd_cond                                 0
% 0.51/1.00  fd_pseudo_cond                          0
% 0.51/1.00  AC symbols                              0
% 0.51/1.00  
% 0.51/1.00  ------ Schedule EPR Horn non eq is on
% 0.51/1.00  
% 0.51/1.00  ------ no equalities: superposition off 
% 0.51/1.00  
% 0.51/1.00  ------ Option_epr_horn Time Limit: Unbounded
% 0.51/1.00  
% 0.51/1.00  
% 0.51/1.00  ------ 
% 0.51/1.00  Current options:
% 0.51/1.00  ------ 
% 0.51/1.00  
% 0.51/1.00  
% 0.51/1.00  
% 0.51/1.00  
% 0.51/1.00  ------ Proving...
% 0.51/1.00  
% 0.51/1.00  
% 0.51/1.00  % SZS status Theorem for theBenchmark.p
% 0.51/1.00  
% 0.51/1.00  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.51/1.00  
% 0.51/1.00  
%------------------------------------------------------------------------------