TSTP Solution File: SYN972+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN972+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n004.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 03:33:45 EDT 2024

% Result   : Theorem 0.73s 1.14s
% Output   : CNFRefutation 0.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   17 (   9 unt;   0 def)
%            Number of atoms       :   25 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   20 (  12   ~;   0   |;   3   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   34 (   4 sgn  18   !;  12   ?)

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

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

fof(f3,plain,
    ~ ( ? [X0] :
        ! [X1] : p(X0,X1)
     => ! [X2] :
        ? [X3] : p(X3,X2) ),
    inference(rectify,[],[f2]) ).

fof(f4,plain,
    ( ? [X2] :
      ! [X3] : ~ p(X3,X2)
    & ? [X0] :
      ! [X1] : p(X0,X1) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ? [X0] :
      ! [X1] : ~ p(X1,X0)
    & ? [X2] :
      ! [X3] : p(X2,X3) ),
    inference(rectify,[],[f4]) ).

fof(f6,plain,
    ( ? [X0] :
      ! [X1] : ~ p(X1,X0)
   => ! [X1] : ~ p(X1,sK0) ),
    introduced(choice_axiom,[]) ).

fof(f7,plain,
    ( ? [X2] :
      ! [X3] : p(X2,X3)
   => ! [X3] : p(sK1,X3) ),
    introduced(choice_axiom,[]) ).

fof(f8,plain,
    ( ! [X1] : ~ p(X1,sK0)
    & ! [X3] : p(sK1,X3) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f5,f7,f6]) ).

fof(f9,plain,
    ! [X3] : p(sK1,X3),
    inference(cnf_transformation,[],[f8]) ).

fof(f10,plain,
    ! [X1] : ~ p(X1,sK0),
    inference(cnf_transformation,[],[f8]) ).

cnf(c_49,negated_conjecture,
    ~ p(X0,sK0),
    inference(cnf_transformation,[],[f10]) ).

cnf(c_50,negated_conjecture,
    p(sK1,X0),
    inference(cnf_transformation,[],[f9]) ).

cnf(c_51,plain,
    p(sK1,sK0),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_54,negated_conjecture,
    ~ p(X0_13,sK0),
    inference(subtyping,[status(esa)],[c_49]) ).

cnf(c_55,negated_conjecture,
    ~ p(X0_13,sK0),
    inference(demodulation,[status(thm)],[c_54]) ).

cnf(c_57,plain,
    ~ p(sK1,sK0),
    inference(instantiation,[status(thm)],[c_55]) ).

cnf(c_58,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_57,c_51]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN972+1 : TPTP v8.1.2. Released v3.1.0.
% 0.03/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n004.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Thu May  2 20:41:33 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  Running first-order theorem proving
% 0.19/0.45  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
% 0.73/1.14  % SZS status Started for theBenchmark.p
% 0.73/1.14  % SZS status Theorem for theBenchmark.p
% 0.73/1.14  
% 0.73/1.14  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.73/1.14  
% 0.73/1.14  ------  iProver source info
% 0.73/1.14  
% 0.73/1.14  git: date: 2024-05-02 19:28:25 +0000
% 0.73/1.14  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.73/1.14  git: non_committed_changes: false
% 0.73/1.14  
% 0.73/1.14  ------ Parsing...
% 0.73/1.14  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_horn
% 0.73/1.14  
% 0.73/1.14  
% 0.73/1.14  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 0.73/1.14  
% 0.73/1.14  ------ Preprocessing...------  preprocesses with Option_epr_horn
% 0.73/1.14   gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.73/1.14  ------ Proving...
% 0.73/1.14  ------ Problem Properties 
% 0.73/1.14  
% 0.73/1.14  
% 0.73/1.14  clauses                                 2
% 0.73/1.14  conjectures                             2
% 0.73/1.14  EPR                                     2
% 0.73/1.14  Horn                                    2
% 0.73/1.14  unary                                   2
% 0.73/1.14  binary                                  0
% 0.73/1.14  lits                                    2
% 0.73/1.14  lits eq                                 0
% 0.73/1.14  fd_pure                                 0
% 0.73/1.14  fd_pseudo                               0
% 0.73/1.14  fd_cond                                 0
% 0.73/1.14  fd_pseudo_cond                          0
% 0.73/1.14  AC symbols                              0
% 0.73/1.14  
% 0.73/1.14  ------ Schedule EPR Horn non eq is on
% 0.73/1.14  
% 0.73/1.14  ------ no equalities: superposition off 
% 0.73/1.14  
% 0.73/1.14  ------ Option_epr_horn Time Limit: Unbounded
% 0.73/1.14  
% 0.73/1.14  
% 0.73/1.14  ------ 
% 0.73/1.14  Current options:
% 0.73/1.14  ------ 
% 0.73/1.14  
% 0.73/1.14  
% 0.73/1.14  
% 0.73/1.14  
% 0.73/1.14  ------ Proving...
% 0.73/1.14  
% 0.73/1.14  
% 0.73/1.14  % SZS status Theorem for theBenchmark.p
% 0.73/1.14  
% 0.73/1.14  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.73/1.14  
% 0.73/1.14  
%------------------------------------------------------------------------------