TSTP Solution File: SYN081+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN081+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n017.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 03:29:11 EDT 2024

% Result   : Theorem 0.75s 1.19s
% Output   : CNFRefutation 0.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   15 (   4 unt;   0 def)
%            Number of atoms       :   28 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   27 (  14   ~;   9   |;   3   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 1-1 aty)
%            Number of variables   :   14 (   3 sgn   6   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] :
      ( big_f(X0)
    <=> ~ big_f(f(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel59_1) ).

fof(f2,conjecture,
    ? [X0] :
      ( ~ big_f(f(X0))
      & big_f(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel59) ).

fof(f3,negated_conjecture,
    ~ ? [X0] :
        ( ~ big_f(f(X0))
        & big_f(X0) ),
    inference(negated_conjecture,[],[f2]) ).

fof(f4,plain,
    ! [X0] :
      ( big_f(f(X0))
      | ~ big_f(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ! [X0] :
      ( ( big_f(X0)
        | big_f(f(X0)) )
      & ( ~ big_f(f(X0))
        | ~ big_f(X0) ) ),
    inference(nnf_transformation,[],[f1]) ).

fof(f6,plain,
    ! [X0] :
      ( ~ big_f(f(X0))
      | ~ big_f(X0) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ! [X0] :
      ( big_f(X0)
      | big_f(f(X0)) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ! [X0] :
      ( big_f(f(X0))
      | ~ big_f(X0) ),
    inference(cnf_transformation,[],[f4]) ).

cnf(c_49,plain,
    ( big_f(f(X0))
    | big_f(X0) ),
    inference(cnf_transformation,[],[f7]) ).

cnf(c_50,plain,
    ( ~ big_f(f(X0))
    | ~ big_f(X0) ),
    inference(cnf_transformation,[],[f6]) ).

cnf(c_51,negated_conjecture,
    ( ~ big_f(X0)
    | big_f(f(X0)) ),
    inference(cnf_transformation,[],[f8]) ).

cnf(c_55,plain,
    big_f(f(X0)),
    inference(global_subsumption_just,[status(thm)],[c_49,c_49,c_51]) ).

cnf(c_58,negated_conjecture,
    big_f(f(X0)),
    inference(global_subsumption_just,[status(thm)],[c_51,c_55]) ).

cnf(c_60,plain,
    ~ big_f(X0),
    inference(global_subsumption_just,[status(thm)],[c_50,c_49,c_51,c_50]) ).

cnf(c_64,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_58,c_60]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14  % Problem  : SYN081+1 : TPTP v8.1.2. Released v2.0.0.
% 0.03/0.15  % Command  : run_iprover %s %d THM
% 0.14/0.36  % Computer : n017.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 20:18:06 EDT 2024
% 0.14/0.36  % CPUTime  : 
% 0.22/0.50  Running first-order theorem proving
% 0.22/0.50  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
% 0.75/1.19  % SZS status Started for theBenchmark.p
% 0.75/1.19  % SZS status Theorem for theBenchmark.p
% 0.75/1.19  
% 0.75/1.19  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.75/1.19  
% 0.75/1.19  ------  iProver source info
% 0.75/1.19  
% 0.75/1.19  git: date: 2024-05-02 19:28:25 +0000
% 0.75/1.19  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.75/1.19  git: non_committed_changes: false
% 0.75/1.19  
% 0.75/1.19  ------ Parsing...
% 0.75/1.19  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 0.75/1.19  
% 0.75/1.19  ------ Preprocessing...
% 0.75/1.19  
% 0.75/1.19  % SZS status Theorem for theBenchmark.p
% 0.75/1.19  
% 0.75/1.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.75/1.19  
% 0.75/1.19  
%------------------------------------------------------------------------------