TSTP Solution File: SYN962+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYN962+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n022.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 Sep  1 03:14:57 EDT 2023

% Result   : Theorem 0.74s 1.14s
% Output   : CNFRefutation 0.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   15 (   5 unt;   0 def)
%            Number of atoms       :   31 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   33 (  17   ~;   5   |;   6   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   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   :   20 (   1 sgn;  13   !;   6   ?)

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

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

fof(f3,plain,
    ~ ( ! [X0] : p(X0)
     => ( ! [X1] : p(X1)
        & ! [X2] : p(X2) ) ),
    inference(rectify,[],[f2]) ).

fof(f4,plain,
    ( ( ? [X1] : ~ p(X1)
      | ? [X2] : ~ p(X2) )
    & ! [X0] : p(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ? [X0] : ~ p(X0)
      | ? [X1] : ~ p(X1) )
    & ! [X2] : p(X2) ),
    inference(rectify,[],[f4]) ).

fof(f6,plain,
    ( ? [X0] : ~ p(X0)
   => ~ p(sK0) ),
    introduced(choice_axiom,[]) ).

fof(f7,plain,
    ( ? [X1] : ~ p(X1)
   => ~ p(sK1) ),
    introduced(choice_axiom,[]) ).

fof(f8,plain,
    ( ( ~ p(sK0)
      | ~ p(sK1) )
    & ! [X2] : p(X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f5,f7,f6]) ).

fof(f9,plain,
    ! [X2] : p(X2),
    inference(cnf_transformation,[],[f8]) ).

fof(f10,plain,
    ( ~ p(sK0)
    | ~ p(sK1) ),
    inference(cnf_transformation,[],[f8]) ).

cnf(c_49,negated_conjecture,
    ( ~ p(sK0)
    | ~ p(sK1) ),
    inference(cnf_transformation,[],[f10]) ).

cnf(c_50,negated_conjecture,
    p(X0),
    inference(cnf_transformation,[],[f9]) ).

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,plain,
    $false,
    inference(resolution,[status(thm)],[c_52,c_50]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYN962+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n022.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 : Sat Aug 26 18:37:25 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
% 0.74/1.14  % SZS status Started for theBenchmark.p
% 0.74/1.14  % SZS status Theorem for theBenchmark.p
% 0.74/1.14  
% 0.74/1.14  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.74/1.14  
% 0.74/1.14  ------  iProver source info
% 0.74/1.14  
% 0.74/1.14  git: date: 2023-05-31 18:12:56 +0000
% 0.74/1.14  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.74/1.14  git: non_committed_changes: false
% 0.74/1.14  git: last_make_outside_of_git: false
% 0.74/1.14  
% 0.74/1.14  ------ Parsing...
% 0.74/1.14  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_horn
% 0.74/1.14  
% 0.74/1.14  
% 0.74/1.14  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 0.74/1.14  
% 0.74/1.14  ------ Preprocessing...------  preprocesses with Option_epr_horn
% 0.74/1.14   gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.74/1.14  ------ Proving...
% 0.74/1.14  ------ Problem Properties 
% 0.74/1.14  
% 0.74/1.14  
% 0.74/1.14  clauses                                 2
% 0.74/1.14  conjectures                             2
% 0.74/1.14  EPR                                     2
% 0.74/1.14  Horn                                    2
% 0.74/1.14  unary                                   2
% 0.74/1.14  binary                                  0
% 0.74/1.14  lits                                    2
% 0.74/1.14  lits eq                                 0
% 0.74/1.14  fd_pure                                 0
% 0.74/1.14  fd_pseudo                               0
% 0.74/1.14  fd_cond                                 0
% 0.74/1.14  fd_pseudo_cond                          0
% 0.74/1.14  AC symbols                              0
% 0.74/1.14  
% 0.74/1.14  ------ Schedule EPR Horn non eq is on
% 0.74/1.14  
% 0.74/1.14  ------ no equalities: superposition off 
% 0.74/1.14  
% 0.74/1.14  ------ Option_epr_horn Time Limit: Unbounded
% 0.74/1.14  
% 0.74/1.14  
% 0.74/1.14  ------ 
% 0.74/1.14  Current options:
% 0.74/1.14  ------ 
% 0.74/1.14  
% 0.74/1.14  
% 0.74/1.14  
% 0.74/1.14  
% 0.74/1.14  ------ Proving...
% 0.74/1.14  
% 0.74/1.14  
% 0.74/1.14  % SZS status Theorem for theBenchmark.p
% 0.74/1.14  
% 0.74/1.14  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.74/1.14  
% 0.74/1.14  
%------------------------------------------------------------------------------