%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN948+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n031.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 03:33:41 EDT 2024

% Result   : Theorem 0.78s 1.21s
% Output   : CNFRefutation 0.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   5 unt;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   19 (   6   ~;   0   |;  10   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 1-1 aty)
%            Number of variables   :   20 (   0 sgn  11   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ( ! [X0] :
      ? [X1] :
        ( a(X1,X1)
        & a(X0,X1) )
   => ? [X2] : a(X2,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f2,negated_conjecture,
    ~ ( ! [X0] :
        ? [X1] :
          ( a(X1,X1)
          & a(X0,X1) )
     => ? [X2] : a(X2,X2) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f3,plain,
    ( ! [X2] : ~ a(X2,X2)
    & ! [X0] :
      ? [X1] :
        ( a(X1,X1)
        & a(X0,X1) ) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f4,plain,
    ( ! [X0] : ~ a(X0,X0)
    & ! [X1] :
      ? [X2] :
        ( a(X2,X2)
        & a(X1,X2) ) ),
    inference(rectify,[],[f3]) ).

fof(f5,plain,
    ! [X1] :
      ( ? [X2] :
          ( a(X2,X2)
          & a(X1,X2) )
     => ( a(sK0(X1),sK0(X1))
        & a(X1,sK0(X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f6,plain,
    ( ! [X0] : ~ a(X0,X0)
    & ! [X1] :
        ( a(sK0(X1),sK0(X1))
        & a(X1,sK0(X1)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f4,f5]) ).

fof(f8,plain,
    ! [X1] : a(sK0(X1),sK0(X1)),
    inference(cnf_transformation,[],[f6]) ).

fof(f9,plain,
    ! [X0] : ~ a(X0,X0),
    inference(cnf_transformation,[],[f6]) ).

cnf(c_49,negated_conjecture,
    ~ a(X0,X0),
    inference(cnf_transformation,[],[f9]) ).

cnf(c_50,negated_conjecture,
    a(sK0(X0),sK0(X0)),
    inference(cnf_transformation,[],[f8]) ).

cnf(c_57,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_50,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : SYN948+1 : TPTP v8.1.2. Released v3.1.0.
% 0.11/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n031.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 : Thu May  2 21:19:01 EDT 2024
% 0.14/0.36  % CPUTime  : 
% 0.21/0.49  Running first-order theorem proving
% 0.21/0.49  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
% 0.78/1.21  % SZS status Started for theBenchmark.p
% 0.78/1.21  % SZS status Theorem for theBenchmark.p
% 0.78/1.21  
% 0.78/1.21  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.78/1.21  
% 0.78/1.21  ------  iProver source info
% 0.78/1.21  
% 0.78/1.21  git: date: 2024-05-02 19:28:25 +0000
% 0.78/1.21  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.78/1.21  git: non_committed_changes: false
% 0.78/1.21  
% 0.78/1.21  ------ Parsing...
% 0.78/1.21  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 0.78/1.21  
% 0.78/1.21  ------ Preprocessing...
% 0.78/1.21  
% 0.78/1.21  % SZS status Theorem for theBenchmark.p
% 0.78/1.21  
% 0.78/1.21  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.78/1.21  
% 0.78/1.21  
%------------------------------------------------------------------------------