TSTP Solution File: MSC011+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : MSC011+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n021.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 : Thu Aug 31 09:26:11 EDT 2023

% Result   : Theorem 0.70s 1.15s
% Output   : CNFRefutation 0.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   24 (  11 unt;   0 def)
%            Number of atoms       :   43 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   37 (  18   ~;  14   |;   2   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   11 (   1 sgn;   6   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] :
      ( ( not_drunk(X0)
        & drunk(X0) )
     => goal ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_cons) ).

fof(f2,axiom,
    ! [X0] :
      ( neg_psi
      & drunk(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',neg_phi) ).

fof(f3,axiom,
    ( neg_psi
   => ? [X0] : not_drunk(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',neg_psi_ax) ).

fof(f4,conjecture,
    goal,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_to_be_proved) ).

fof(f5,negated_conjecture,
    ~ goal,
    inference(negated_conjecture,[],[f4]) ).

fof(f6,plain,
    ~ goal,
    inference(flattening,[],[f5]) ).

fof(f7,plain,
    ! [X0] :
      ( goal
      | ~ not_drunk(X0)
      | ~ drunk(X0) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f8,plain,
    ! [X0] :
      ( goal
      | ~ not_drunk(X0)
      | ~ drunk(X0) ),
    inference(flattening,[],[f7]) ).

fof(f9,plain,
    ( ? [X0] : not_drunk(X0)
    | ~ neg_psi ),
    inference(ennf_transformation,[],[f3]) ).

fof(f10,plain,
    ( ? [X0] : not_drunk(X0)
   => not_drunk(sK0) ),
    introduced(choice_axiom,[]) ).

fof(f11,plain,
    ( not_drunk(sK0)
    | ~ neg_psi ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f9,f10]) ).

fof(f12,plain,
    ! [X0] :
      ( goal
      | ~ not_drunk(X0)
      | ~ drunk(X0) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f13,plain,
    ! [X0] : drunk(X0),
    inference(cnf_transformation,[],[f2]) ).

fof(f14,plain,
    neg_psi,
    inference(cnf_transformation,[],[f2]) ).

fof(f15,plain,
    ( not_drunk(sK0)
    | ~ neg_psi ),
    inference(cnf_transformation,[],[f11]) ).

fof(f16,plain,
    ~ goal,
    inference(cnf_transformation,[],[f6]) ).

cnf(c_49,plain,
    ( ~ not_drunk(X0)
    | ~ drunk(X0)
    | goal ),
    inference(cnf_transformation,[],[f12]) ).

cnf(c_50,plain,
    neg_psi,
    inference(cnf_transformation,[],[f14]) ).

cnf(c_51,plain,
    drunk(X0),
    inference(cnf_transformation,[],[f13]) ).

cnf(c_52,plain,
    ( ~ neg_psi
    | not_drunk(sK0) ),
    inference(cnf_transformation,[],[f15]) ).

cnf(c_53,negated_conjecture,
    ~ goal,
    inference(cnf_transformation,[],[f16]) ).

cnf(c_54,plain,
    drunk(sK0),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_55,plain,
    ( ~ not_drunk(sK0)
    | ~ drunk(sK0)
    | goal ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_56,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_55,c_52,c_54,c_53,c_50]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : MSC011+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu Aug 24 13:45:40 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.70/1.15  % SZS status Started for theBenchmark.p
% 0.70/1.15  % SZS status Theorem for theBenchmark.p
% 0.70/1.15  
% 0.70/1.15  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.70/1.15  
% 0.70/1.15  ------  iProver source info
% 0.70/1.15  
% 0.70/1.15  git: date: 2023-05-31 18:12:56 +0000
% 0.70/1.15  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.70/1.15  git: non_committed_changes: false
% 0.70/1.15  git: last_make_outside_of_git: false
% 0.70/1.15  
% 0.70/1.15  ------ Parsing...
% 0.70/1.15  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_horn
% 0.70/1.15  
% 0.70/1.15  
% 0.70/1.15  ------ Preprocessing...
% 0.70/1.15  
% 0.70/1.15  % SZS status Theorem for theBenchmark.p
% 0.70/1.15  
% 0.70/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.70/1.15  
% 0.70/1.15  
%------------------------------------------------------------------------------