TSTP Solution File: SEU292+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SEU292+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : Thu Aug 31 17:05:31 EDT 2023

% Result   : Theorem 0.46s 1.15s
% Output   : CNFRefutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   76 (  23 unt;   0 def)
%            Number of atoms       :  260 (  86 equ)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :  289 ( 105   ~;  98   |;  61   &)
%                                         (   7 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   6 con; 0-3 aty)
%            Number of variables   :  149 (   4 sgn;  76   !;  17   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [X0,X1,X2] :
      ( element(X2,powerset(cartesian_product2(X0,X1)))
     => relation(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).

fof(f6,axiom,
    ! [X0,X1,X2] :
      ( relation_of2_as_subset(X2,X0,X1)
     => ( ( empty_set = X1
         => ( ( quasi_total(X2,X0,X1)
            <=> empty_set = X2 )
            | empty_set = X0 ) )
        & ( ( empty_set = X1
           => empty_set = X0 )
         => ( quasi_total(X2,X0,X1)
          <=> relation_dom_as_subset(X0,X1,X2) = X0 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_funct_2) ).

fof(f16,axiom,
    ! [X0,X1,X2] :
      ( relation_of2_as_subset(X2,X0,X1)
     => element(X2,powerset(cartesian_product2(X0,X1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).

fof(f44,axiom,
    ! [X0,X1,X2] :
      ( relation_of2(X2,X0,X1)
     => relation_dom_as_subset(X0,X1,X2) = relation_dom(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_relset_1) ).

fof(f45,axiom,
    ! [X0,X1,X2] :
      ( relation_of2_as_subset(X2,X0,X1)
    <=> relation_of2(X2,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).

fof(f48,conjecture,
    ! [X0,X1,X2,X3] :
      ( ( relation_of2_as_subset(X3,X0,X1)
        & quasi_total(X3,X0,X1)
        & function(X3) )
     => ! [X4] :
          ( ( function(X4)
            & relation(X4) )
         => ( in(X2,X0)
           => ( apply(relation_composition(X3,X4),X2) = apply(X4,apply(X3,X2))
              | empty_set = X1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_funct_2) ).

fof(f49,negated_conjecture,
    ~ ! [X0,X1,X2,X3] :
        ( ( relation_of2_as_subset(X3,X0,X1)
          & quasi_total(X3,X0,X1)
          & function(X3) )
       => ! [X4] :
            ( ( function(X4)
              & relation(X4) )
           => ( in(X2,X0)
             => ( apply(relation_composition(X3,X4),X2) = apply(X4,apply(X3,X2))
                | empty_set = X1 ) ) ) ),
    inference(negated_conjecture,[],[f48]) ).

fof(f50,axiom,
    ! [X0,X1] :
      ( ( function(X1)
        & relation(X1) )
     => ! [X2] :
          ( ( function(X2)
            & relation(X2) )
         => ( in(X0,relation_dom(X1))
           => apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_funct_1) ).

fof(f69,plain,
    ! [X0,X1,X2] :
      ( relation(X2)
      | ~ element(X2,powerset(cartesian_product2(X0,X1))) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f72,plain,
    ! [X0,X1,X2] :
      ( ( ( ( quasi_total(X2,X0,X1)
          <=> empty_set = X2 )
          | empty_set = X0
          | empty_set != X1 )
        & ( ( quasi_total(X2,X0,X1)
          <=> relation_dom_as_subset(X0,X1,X2) = X0 )
          | ( empty_set != X0
            & empty_set = X1 ) ) )
      | ~ relation_of2_as_subset(X2,X0,X1) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f73,plain,
    ! [X0,X1,X2] :
      ( ( ( ( quasi_total(X2,X0,X1)
          <=> empty_set = X2 )
          | empty_set = X0
          | empty_set != X1 )
        & ( ( quasi_total(X2,X0,X1)
          <=> relation_dom_as_subset(X0,X1,X2) = X0 )
          | ( empty_set != X0
            & empty_set = X1 ) ) )
      | ~ relation_of2_as_subset(X2,X0,X1) ),
    inference(flattening,[],[f72]) ).

fof(f77,plain,
    ! [X0,X1,X2] :
      ( element(X2,powerset(cartesian_product2(X0,X1)))
      | ~ relation_of2_as_subset(X2,X0,X1) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f90,plain,
    ! [X0,X1,X2] :
      ( relation_dom_as_subset(X0,X1,X2) = relation_dom(X2)
      | ~ relation_of2(X2,X0,X1) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f92,plain,
    ? [X0,X1,X2,X3] :
      ( ? [X4] :
          ( apply(relation_composition(X3,X4),X2) != apply(X4,apply(X3,X2))
          & empty_set != X1
          & in(X2,X0)
          & function(X4)
          & relation(X4) )
      & relation_of2_as_subset(X3,X0,X1)
      & quasi_total(X3,X0,X1)
      & function(X3) ),
    inference(ennf_transformation,[],[f49]) ).

fof(f93,plain,
    ? [X0,X1,X2,X3] :
      ( ? [X4] :
          ( apply(relation_composition(X3,X4),X2) != apply(X4,apply(X3,X2))
          & empty_set != X1
          & in(X2,X0)
          & function(X4)
          & relation(X4) )
      & relation_of2_as_subset(X3,X0,X1)
      & quasi_total(X3,X0,X1)
      & function(X3) ),
    inference(flattening,[],[f92]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0))
          | ~ in(X0,relation_dom(X1))
          | ~ function(X2)
          | ~ relation(X2) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0))
          | ~ in(X0,relation_dom(X1))
          | ~ function(X2)
          | ~ relation(X2) )
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(flattening,[],[f94]) ).

fof(f105,plain,
    ! [X0,X1,X2] :
      ( ( ( ( ( quasi_total(X2,X0,X1)
              | empty_set != X2 )
            & ( empty_set = X2
              | ~ quasi_total(X2,X0,X1) ) )
          | empty_set = X0
          | empty_set != X1 )
        & ( ( ( quasi_total(X2,X0,X1)
              | relation_dom_as_subset(X0,X1,X2) != X0 )
            & ( relation_dom_as_subset(X0,X1,X2) = X0
              | ~ quasi_total(X2,X0,X1) ) )
          | ( empty_set != X0
            & empty_set = X1 ) ) )
      | ~ relation_of2_as_subset(X2,X0,X1) ),
    inference(nnf_transformation,[],[f73]) ).

fof(f140,plain,
    ! [X0,X1,X2] :
      ( ( relation_of2_as_subset(X2,X0,X1)
        | ~ relation_of2(X2,X0,X1) )
      & ( relation_of2(X2,X0,X1)
        | ~ relation_of2_as_subset(X2,X0,X1) ) ),
    inference(nnf_transformation,[],[f45]) ).

fof(f141,plain,
    ( ? [X0,X1,X2,X3] :
        ( ? [X4] :
            ( apply(relation_composition(X3,X4),X2) != apply(X4,apply(X3,X2))
            & empty_set != X1
            & in(X2,X0)
            & function(X4)
            & relation(X4) )
        & relation_of2_as_subset(X3,X0,X1)
        & quasi_total(X3,X0,X1)
        & function(X3) )
   => ( ? [X4] :
          ( apply(relation_composition(sK20,X4),sK19) != apply(X4,apply(sK20,sK19))
          & empty_set != sK18
          & in(sK19,sK17)
          & function(X4)
          & relation(X4) )
      & relation_of2_as_subset(sK20,sK17,sK18)
      & quasi_total(sK20,sK17,sK18)
      & function(sK20) ) ),
    introduced(choice_axiom,[]) ).

fof(f142,plain,
    ( ? [X4] :
        ( apply(relation_composition(sK20,X4),sK19) != apply(X4,apply(sK20,sK19))
        & empty_set != sK18
        & in(sK19,sK17)
        & function(X4)
        & relation(X4) )
   => ( apply(relation_composition(sK20,sK21),sK19) != apply(sK21,apply(sK20,sK19))
      & empty_set != sK18
      & in(sK19,sK17)
      & function(sK21)
      & relation(sK21) ) ),
    introduced(choice_axiom,[]) ).

fof(f143,plain,
    ( apply(relation_composition(sK20,sK21),sK19) != apply(sK21,apply(sK20,sK19))
    & empty_set != sK18
    & in(sK19,sK17)
    & function(sK21)
    & relation(sK21)
    & relation_of2_as_subset(sK20,sK17,sK18)
    & quasi_total(sK20,sK17,sK18)
    & function(sK20) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18,sK19,sK20,sK21])],[f93,f142,f141]) ).

fof(f147,plain,
    ! [X2,X0,X1] :
      ( relation(X2)
      | ~ element(X2,powerset(cartesian_product2(X0,X1))) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f150,plain,
    ! [X2,X0,X1] :
      ( relation_dom_as_subset(X0,X1,X2) = X0
      | ~ quasi_total(X2,X0,X1)
      | empty_set = X1
      | ~ relation_of2_as_subset(X2,X0,X1) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f158,plain,
    ! [X2,X0,X1] :
      ( element(X2,powerset(cartesian_product2(X0,X1)))
      | ~ relation_of2_as_subset(X2,X0,X1) ),
    inference(cnf_transformation,[],[f77]) ).

fof(f208,plain,
    ! [X2,X0,X1] :
      ( relation_dom_as_subset(X0,X1,X2) = relation_dom(X2)
      | ~ relation_of2(X2,X0,X1) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f209,plain,
    ! [X2,X0,X1] :
      ( relation_of2(X2,X0,X1)
      | ~ relation_of2_as_subset(X2,X0,X1) ),
    inference(cnf_transformation,[],[f140]) ).

fof(f210,plain,
    ! [X2,X0,X1] :
      ( relation_of2_as_subset(X2,X0,X1)
      | ~ relation_of2(X2,X0,X1) ),
    inference(cnf_transformation,[],[f140]) ).

fof(f213,plain,
    function(sK20),
    inference(cnf_transformation,[],[f143]) ).

fof(f214,plain,
    quasi_total(sK20,sK17,sK18),
    inference(cnf_transformation,[],[f143]) ).

fof(f215,plain,
    relation_of2_as_subset(sK20,sK17,sK18),
    inference(cnf_transformation,[],[f143]) ).

fof(f216,plain,
    relation(sK21),
    inference(cnf_transformation,[],[f143]) ).

fof(f217,plain,
    function(sK21),
    inference(cnf_transformation,[],[f143]) ).

fof(f218,plain,
    in(sK19,sK17),
    inference(cnf_transformation,[],[f143]) ).

fof(f219,plain,
    empty_set != sK18,
    inference(cnf_transformation,[],[f143]) ).

fof(f220,plain,
    apply(relation_composition(sK20,sK21),sK19) != apply(sK21,apply(sK20,sK19)),
    inference(cnf_transformation,[],[f143]) ).

fof(f221,plain,
    ! [X2,X0,X1] :
      ( apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0))
      | ~ in(X0,relation_dom(X1))
      | ~ function(X2)
      | ~ relation(X2)
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f95]) ).

cnf(c_52,plain,
    ( ~ element(X0,powerset(cartesian_product2(X1,X2)))
    | relation(X0) ),
    inference(cnf_transformation,[],[f147]) ).

cnf(c_58,plain,
    ( ~ quasi_total(X0,X1,X2)
    | ~ relation_of2_as_subset(X0,X1,X2)
    | relation_dom_as_subset(X1,X2,X0) = X1
    | X2 = empty_set ),
    inference(cnf_transformation,[],[f150]) ).

cnf(c_61,plain,
    ( ~ relation_of2_as_subset(X0,X1,X2)
    | element(X0,powerset(cartesian_product2(X1,X2))) ),
    inference(cnf_transformation,[],[f158]) ).

cnf(c_111,plain,
    ( ~ relation_of2(X0,X1,X2)
    | relation_dom_as_subset(X1,X2,X0) = relation_dom(X0) ),
    inference(cnf_transformation,[],[f208]) ).

cnf(c_112,plain,
    ( ~ relation_of2(X0,X1,X2)
    | relation_of2_as_subset(X0,X1,X2) ),
    inference(cnf_transformation,[],[f210]) ).

cnf(c_113,plain,
    ( ~ relation_of2_as_subset(X0,X1,X2)
    | relation_of2(X0,X1,X2) ),
    inference(cnf_transformation,[],[f209]) ).

cnf(c_116,negated_conjecture,
    apply(relation_composition(sK20,sK21),sK19) != apply(sK21,apply(sK20,sK19)),
    inference(cnf_transformation,[],[f220]) ).

cnf(c_117,negated_conjecture,
    empty_set != sK18,
    inference(cnf_transformation,[],[f219]) ).

cnf(c_118,negated_conjecture,
    in(sK19,sK17),
    inference(cnf_transformation,[],[f218]) ).

cnf(c_119,negated_conjecture,
    function(sK21),
    inference(cnf_transformation,[],[f217]) ).

cnf(c_120,negated_conjecture,
    relation(sK21),
    inference(cnf_transformation,[],[f216]) ).

cnf(c_121,negated_conjecture,
    relation_of2_as_subset(sK20,sK17,sK18),
    inference(cnf_transformation,[],[f215]) ).

cnf(c_122,negated_conjecture,
    quasi_total(sK20,sK17,sK18),
    inference(cnf_transformation,[],[f214]) ).

cnf(c_123,negated_conjecture,
    function(sK20),
    inference(cnf_transformation,[],[f213]) ).

cnf(c_124,plain,
    ( ~ in(X0,relation_dom(X1))
    | ~ function(X1)
    | ~ function(X2)
    | ~ relation(X1)
    | ~ relation(X2)
    | apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0)) ),
    inference(cnf_transformation,[],[f221]) ).

cnf(c_171,plain,
    ( relation_of2(X0,X1,X2)
    | ~ relation_of2_as_subset(X0,X1,X2) ),
    inference(prop_impl_just,[status(thm)],[c_113]) ).

cnf(c_172,plain,
    ( ~ relation_of2_as_subset(X0,X1,X2)
    | relation_of2(X0,X1,X2) ),
    inference(renaming,[status(thm)],[c_171]) ).

cnf(c_173,plain,
    ( ~ relation_of2(X0,X1,X2)
    | relation_of2_as_subset(X0,X1,X2) ),
    inference(prop_impl_just,[status(thm)],[c_112]) ).

cnf(c_201,plain,
    ( element(X0,powerset(cartesian_product2(X1,X2)))
    | ~ relation_of2(X0,X1,X2) ),
    inference(prop_impl_just,[status(thm)],[c_112,c_61]) ).

cnf(c_202,plain,
    ( ~ relation_of2(X0,X1,X2)
    | element(X0,powerset(cartesian_product2(X1,X2))) ),
    inference(renaming,[status(thm)],[c_201]) ).

cnf(c_342,plain,
    ( ~ quasi_total(X0,X1,X2)
    | ~ relation_of2(X0,X1,X2)
    | relation_dom_as_subset(X1,X2,X0) = X1
    | X2 = empty_set ),
    inference(bin_hyper_res,[status(thm)],[c_58,c_173]) ).

cnf(c_1181,plain,
    ( X0 != sK20
    | X1 != sK17
    | X2 != sK18
    | relation_of2(X0,X1,X2) ),
    inference(resolution_lifted,[status(thm)],[c_172,c_121]) ).

cnf(c_1182,plain,
    relation_of2(sK20,sK17,sK18),
    inference(unflattening,[status(thm)],[c_1181]) ).

cnf(c_1286,plain,
    ( X0 != sK20
    | X1 != sK17
    | X2 != sK18
    | ~ relation_of2(X0,X1,X2)
    | relation_dom_as_subset(X1,X2,X0) = X1
    | X2 = empty_set ),
    inference(resolution_lifted,[status(thm)],[c_342,c_122]) ).

cnf(c_1287,plain,
    ( ~ relation_of2(sK20,sK17,sK18)
    | relation_dom_as_subset(sK17,sK18,sK20) = sK17
    | sK18 = empty_set ),
    inference(unflattening,[status(thm)],[c_1286]) ).

cnf(c_1288,plain,
    ( relation_dom_as_subset(sK17,sK18,sK20) = sK17
    | sK18 = empty_set ),
    inference(global_subsumption_just,[status(thm)],[c_1287,c_1182,c_1287]) ).

cnf(c_1423,plain,
    ( X0 != sK20
    | X1 != sK17
    | X2 != sK18
    | relation_of2(X0,X1,X2) ),
    inference(resolution_lifted,[status(thm)],[c_172,c_121]) ).

cnf(c_1424,plain,
    relation_of2(sK20,sK17,sK18),
    inference(unflattening,[status(thm)],[c_1423]) ).

cnf(c_3833,plain,
    relation_dom_as_subset(sK17,sK18,sK20) = relation_dom(sK20),
    inference(superposition,[status(thm)],[c_1424,c_111]) ).

cnf(c_3841,plain,
    ( relation_dom(sK20) = sK17
    | empty_set = sK18 ),
    inference(demodulation,[status(thm)],[c_1288,c_3833]) ).

cnf(c_3842,plain,
    relation_dom(sK20) = sK17,
    inference(forward_subsumption_resolution,[status(thm)],[c_3841,c_117]) ).

cnf(c_3952,plain,
    ( ~ in(X0,sK17)
    | ~ function(X1)
    | ~ relation(X1)
    | ~ function(sK20)
    | ~ relation(sK20)
    | apply(relation_composition(sK20,X1),X0) = apply(X1,apply(sK20,X0)) ),
    inference(superposition,[status(thm)],[c_3842,c_124]) ).

cnf(c_3953,plain,
    ( ~ in(X0,sK17)
    | ~ function(X1)
    | ~ relation(X1)
    | ~ relation(sK20)
    | apply(relation_composition(sK20,X1),X0) = apply(X1,apply(sK20,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3952,c_123]) ).

cnf(c_4122,plain,
    ( ~ function(X0)
    | ~ relation(X0)
    | ~ relation(sK20)
    | apply(relation_composition(sK20,X0),sK19) = apply(X0,apply(sK20,sK19)) ),
    inference(superposition,[status(thm)],[c_118,c_3953]) ).

cnf(c_4155,plain,
    ( ~ relation(sK20)
    | ~ relation(sK21)
    | apply(relation_composition(sK20,sK21),sK19) = apply(sK21,apply(sK20,sK19)) ),
    inference(superposition,[status(thm)],[c_119,c_4122]) ).

cnf(c_4166,plain,
    ~ relation(sK20),
    inference(forward_subsumption_resolution,[status(thm)],[c_4155,c_116,c_120]) ).

cnf(c_4811,plain,
    ( ~ relation_of2(X0,X1,X2)
    | relation(X0) ),
    inference(superposition,[status(thm)],[c_202,c_52]) ).

cnf(c_4836,plain,
    relation(sK20),
    inference(superposition,[status(thm)],[c_1424,c_4811]) ).

cnf(c_4838,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_4836,c_4166]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SEU292+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n003.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed Aug 23 20:02:52 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.19/0.48  Running first-order theorem proving
% 0.19/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.46/1.15  % SZS status Started for theBenchmark.p
% 0.46/1.15  % SZS status Theorem for theBenchmark.p
% 0.46/1.15  
% 0.46/1.15  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.46/1.15  
% 0.46/1.15  ------  iProver source info
% 0.46/1.15  
% 0.46/1.15  git: date: 2023-05-31 18:12:56 +0000
% 0.46/1.15  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.46/1.15  git: non_committed_changes: false
% 0.46/1.15  git: last_make_outside_of_git: false
% 0.46/1.15  
% 0.46/1.15  ------ Parsing...
% 0.46/1.15  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 0.46/1.15  
% 0.46/1.15  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 3 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 3 0s  sf_e  pe_s  pe_e 
% 0.46/1.15  
% 0.46/1.15  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.46/1.15  
% 0.46/1.15  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.46/1.15  ------ Proving...
% 0.46/1.15  ------ Problem Properties 
% 0.46/1.15  
% 0.46/1.15  
% 0.46/1.15  clauses                                 73
% 0.46/1.15  conjectures                             6
% 0.46/1.15  EPR                                     35
% 0.46/1.15  Horn                                    67
% 0.46/1.15  unary                                   42
% 0.46/1.15  binary                                  18
% 0.46/1.15  lits                                    122
% 0.46/1.15  lits eq                                 15
% 0.46/1.15  fd_pure                                 0
% 0.46/1.15  fd_pseudo                               0
% 0.46/1.15  fd_cond                                 2
% 0.46/1.15  fd_pseudo_cond                          1
% 0.46/1.15  AC symbols                              0
% 0.46/1.15  
% 0.46/1.15  ------ Schedule dynamic 5 is on 
% 0.46/1.15  
% 0.46/1.15  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.46/1.15  
% 0.46/1.15  
% 0.46/1.15  ------ 
% 0.46/1.15  Current options:
% 0.46/1.15  ------ 
% 0.46/1.15  
% 0.46/1.15  
% 0.46/1.15  
% 0.46/1.15  
% 0.46/1.15  ------ Proving...
% 0.46/1.15  
% 0.46/1.15  
% 0.46/1.15  % SZS status Theorem for theBenchmark.p
% 0.46/1.15  
% 0.46/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.46/1.15  
% 0.46/1.16  
%------------------------------------------------------------------------------