TSTP Solution File: SYN396+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN396+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n012.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 03:30:27 EDT 2024

% Result   : Theorem 1.52s 1.19s
% Output   : CNFRefutation 1.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   21 (   7 unt;   0 def)
%            Number of atoms       :   41 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   45 (  25   ~;  12   |;   3   &)
%                                         (   2 <=>;   2  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   2 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   25 (   5 sgn  10   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ( ~ ! [X0] : f(X0)
  <=> ? [X1] : ~ f(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kalish203) ).

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

fof(f3,plain,
    ( ? [X0] : ~ f(X0)
  <~> ? [X1] : ~ f(X1) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f4,plain,
    ( ( ! [X1] : f(X1)
      | ! [X0] : f(X0) )
    & ( ? [X1] : ~ f(X1)
      | ? [X0] : ~ f(X0) ) ),
    inference(nnf_transformation,[],[f3]) ).

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

fof(f6,plain,
    ( ? [X2] : ~ f(X2)
   => ~ f(sK0) ),
    introduced(choice_axiom,[]) ).

fof(f7,plain,
    ( ? [X3] : ~ f(X3)
   => ~ f(sK1) ),
    introduced(choice_axiom,[]) ).

fof(f8,plain,
    ( ( ! [X0] : f(X0)
      | ! [X1] : f(X1) )
    & ( ~ f(sK0)
      | ~ f(sK1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f5,f7,f6]) ).

fof(f9,plain,
    ( ~ f(sK0)
    | ~ f(sK1) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f10,plain,
    ! [X0,X1] :
      ( f(X0)
      | f(X1) ),
    inference(cnf_transformation,[],[f8]) ).

cnf(c_49,negated_conjecture,
    ( f(X0)
    | f(X1) ),
    inference(cnf_transformation,[],[f10]) ).

cnf(c_50,negated_conjecture,
    ( ~ f(sK0)
    | ~ f(sK1) ),
    inference(cnf_transformation,[],[f9]) ).

cnf(c_51,plain,
    f(sK0),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_52,negated_conjecture,
    ~ f(sK1),
    inference(global_subsumption_just,[status(thm)],[c_50,c_51,c_50]) ).

cnf(c_60,negated_conjecture,
    ( f(X0)
    | ~ sP0_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_49]) ).

cnf(c_61,negated_conjecture,
    sP0_iProver_def,
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_49]) ).

cnf(c_62,negated_conjecture,
    ~ f(sK1),
    inference(demodulation,[status(thm)],[c_52]) ).

cnf(c_63,negated_conjecture,
    sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_61]) ).

cnf(c_65,negated_conjecture,
    ( ~ sP0_iProver_def
    | f(X0) ),
    inference(demodulation,[status(thm)],[c_60]) ).

cnf(c_68,negated_conjecture,
    f(X0),
    inference(global_subsumption_just,[status(thm)],[c_65,c_63,c_65]) ).

cnf(c_70,plain,
    $false,
    inference(resolution,[status(thm)],[c_68,c_62]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : SYN396+1 : TPTP v8.1.2. Released v2.0.0.
% 0.13/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.36  % Computer : n012.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu May  2 20:42:25 EDT 2024
% 0.14/0.36  % CPUTime  : 
% 0.21/0.50  Running first-order theorem proving
% 0.21/0.50  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
% 1.52/1.19  % SZS status Started for theBenchmark.p
% 1.52/1.19  % SZS status Theorem for theBenchmark.p
% 1.52/1.19  
% 1.52/1.19  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.52/1.19  
% 1.52/1.19  ------  iProver source info
% 1.52/1.19  
% 1.52/1.19  git: date: 2024-05-02 19:28:25 +0000
% 1.52/1.19  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.52/1.19  git: non_committed_changes: false
% 1.52/1.19  
% 1.52/1.19  ------ Parsing...
% 1.52/1.19  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_non_horn_non_eq
% 1.52/1.19  
% 1.52/1.19  
% 1.52/1.19  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 1.52/1.19  
% 1.52/1.19  ------ Preprocessing...------  preprocesses with Option_epr_non_horn_non_eq
% 1.52/1.19   gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.52/1.19  ------ Proving...
% 1.52/1.19  ------ Problem Properties 
% 1.52/1.19  
% 1.52/1.19  
% 1.52/1.19  clauses                                 3
% 1.52/1.19  conjectures                             3
% 1.52/1.19  EPR                                     3
% 1.52/1.19  Horn                                    3
% 1.52/1.19  unary                                   2
% 1.52/1.19  binary                                  1
% 1.52/1.19  lits                                    4
% 1.52/1.19  lits eq                                 0
% 1.52/1.19  fd_pure                                 0
% 1.52/1.19  fd_pseudo                               0
% 1.52/1.19  fd_cond                                 0
% 1.52/1.19  fd_pseudo_cond                          0
% 1.52/1.19  AC symbols                              0
% 1.52/1.19  
% 1.52/1.19  ------ Schedule EPR Horn non eq is on
% 1.52/1.19  
% 1.52/1.19  ------ no equalities: superposition off 
% 1.52/1.19  
% 1.52/1.19  ------ Option_epr_horn Time Limit: Unbounded
% 1.52/1.19  
% 1.52/1.19  
% 1.52/1.19  ------ 
% 1.52/1.19  Current options:
% 1.52/1.19  ------ 
% 1.52/1.19  
% 1.52/1.19  
% 1.52/1.19  
% 1.52/1.19  
% 1.52/1.19  ------ Proving...
% 1.52/1.19  
% 1.52/1.19  
% 1.52/1.19  % SZS status Theorem for theBenchmark.p
% 1.52/1.19  
% 1.52/1.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.52/1.19  
% 1.52/1.19  
%------------------------------------------------------------------------------