%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWV011+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n003.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 03:13:16 EDT 2024

% Result   : Theorem 0.66s 1.11s
% Output   : CNFRefutation 0.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (   8 unt;   0 def)
%            Number of atoms       :   18 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   13 (   8   ~;   3   |;   2   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    5 (   0 sgn   2   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f11,axiom,
    b_holds(key(generate_key(an_a_nonce),a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).

fof(f13,axiom,
    a_holds(key(generate_key(an_a_nonce),b)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).

fof(f17,conjecture,
    ? [X0] :
      ( b_holds(key(X0,a))
      & a_holds(key(X0,b)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f18,negated_conjecture,
    ~ ? [X0] :
        ( b_holds(key(X0,a))
        & a_holds(key(X0,b)) ),
    inference(negated_conjecture,[],[f17]) ).

fof(f31,plain,
    ! [X0] :
      ( ~ b_holds(key(X0,a))
      | ~ a_holds(key(X0,b)) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f34,plain,
    b_holds(key(generate_key(an_a_nonce),a)),
    inference(cnf_transformation,[],[f11]) ).

fof(f35,plain,
    a_holds(key(generate_key(an_a_nonce),b)),
    inference(cnf_transformation,[],[f13]) ).

fof(f36,plain,
    ! [X0] :
      ( ~ b_holds(key(X0,a))
      | ~ a_holds(key(X0,b)) ),
    inference(cnf_transformation,[],[f31]) ).

cnf(c_51,plain,
    b_holds(key(generate_key(an_a_nonce),a)),
    inference(cnf_transformation,[],[f34]) ).

cnf(c_52,plain,
    a_holds(key(generate_key(an_a_nonce),b)),
    inference(cnf_transformation,[],[f35]) ).

cnf(c_53,negated_conjecture,
    ( ~ a_holds(key(X0,b))
    | ~ b_holds(key(X0,a)) ),
    inference(cnf_transformation,[],[f36]) ).

cnf(c_67,plain,
    ~ b_holds(key(generate_key(an_a_nonce),a)),
    inference(resolution,[status(thm)],[c_52,c_53]) ).

cnf(c_68,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_67,c_51]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem  : SWV011+1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.11  % Command  : run_iprover %s %d THM
% 0.10/0.31  % Computer : n003.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Fri May  3 00:22:35 EDT 2024
% 0.10/0.31  % CPUTime  : 
% 0.16/0.42  Running first-order theorem proving
% 0.16/0.42  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
% 0.66/1.11  % SZS status Started for theBenchmark.p
% 0.66/1.11  % SZS status Theorem for theBenchmark.p
% 0.66/1.11  
% 0.66/1.11  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.66/1.11  
% 0.66/1.11  ------  iProver source info
% 0.66/1.11  
% 0.66/1.11  git: date: 2024-05-02 19:28:25 +0000
% 0.66/1.11  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.66/1.11  git: non_committed_changes: false
% 0.66/1.11  
% 0.66/1.11  ------ Parsing...
% 0.66/1.11  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 0.66/1.11  
% 0.66/1.11  ------ Preprocessing... sf_s  rm: 2 0s  sf_e  pe_s 
% 0.66/1.11  
% 0.66/1.11  % SZS status Theorem for theBenchmark.p
% 0.66/1.11  
% 0.66/1.11  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.66/1.11  
% 0.66/1.11  
%------------------------------------------------------------------------------