TSTP Solution File: SEU353+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SEU353+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n005.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 17:06:21 EDT 2023

% Result   : Theorem 3.50s 1.17s
% Output   : CNFRefutation 3.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   83 (  24 unt;   0 def)
%            Number of atoms       :  238 (  47 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  261 ( 106   ~; 102   |;  39   &)
%                                         (   1 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   17 (  15 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   2 con; 0-4 aty)
%            Number of variables   :  131 (   1 sgn;  73   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X0,X1,X2] :
      ( relation_of2(X2,X0,X1)
     => ( ( v1_partfun1(X2,X0,X1)
          & function(X2) )
       => ( quasi_total(X2,X0,X1)
          & function(X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_funct_2) ).

fof(f10,axiom,
    ! [X0] :
      ( one_sorted_str(X0)
     => identity_on_carrier(X0) = identity_as_relation_of(the_carrier(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_grcat_1) ).

fof(f15,axiom,
    ! [X0] :
      ( relation_of2_as_subset(identity_as_relation_of(X0),X0,X0)
      & v1_partfun1(identity_as_relation_of(X0),X0,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_partfun1) ).

fof(f28,axiom,
    ! [X0] :
      ( ( one_sorted_str(X0)
        & ~ empty_carrier(X0) )
     => ~ empty(the_carrier(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).

fof(f31,axiom,
    ! [X0] :
      ( transitive(identity_relation(X0))
      & antisymmetric(identity_relation(X0))
      & symmetric(identity_relation(X0))
      & reflexive(identity_relation(X0))
      & function(identity_relation(X0))
      & relation(identity_relation(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_partfun1) ).

fof(f44,axiom,
    ! [X0] : identity_as_relation_of(X0) = identity_relation(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_partfun1) ).

fof(f45,axiom,
    ! [X0,X1,X2,X3] :
      ( ( element(X3,X0)
        & relation_of2(X2,X0,X1)
        & quasi_total(X2,X0,X1)
        & function(X2)
        & ~ empty(X0) )
     => apply_as_element(X0,X1,X2,X3) = apply(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k8_funct_2) ).

fof(f46,axiom,
    ! [X0,X1,X2] :
      ( relation_of2_as_subset(X2,X0,X1)
    <=> relation_of2(X2,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).

fof(f49,axiom,
    ! [X0,X1] :
      ( element(X0,X1)
     => ( in(X0,X1)
        | empty(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).

fof(f50,axiom,
    ! [X0,X1] :
      ( in(X1,X0)
     => apply(identity_relation(X0),X1) = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t35_funct_1) ).

fof(f57,conjecture,
    ! [X0] :
      ( ( one_sorted_str(X0)
        & ~ empty_carrier(X0) )
     => ! [X1] :
          ( element(X1,the_carrier(X0))
         => apply_as_element(the_carrier(X0),the_carrier(X0),identity_on_carrier(X0),X1) = X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t91_tmap_1) ).

fof(f58,negated_conjecture,
    ~ ! [X0] :
        ( ( one_sorted_str(X0)
          & ~ empty_carrier(X0) )
       => ! [X1] :
            ( element(X1,the_carrier(X0))
           => apply_as_element(the_carrier(X0),the_carrier(X0),identity_on_carrier(X0),X1) = X1 ) ),
    inference(negated_conjecture,[],[f57]) ).

fof(f61,plain,
    ! [X0] :
      ( transitive(identity_relation(X0))
      & symmetric(identity_relation(X0))
      & reflexive(identity_relation(X0))
      & function(identity_relation(X0))
      & relation(identity_relation(X0)) ),
    inference(pure_predicate_removal,[],[f31]) ).

fof(f64,plain,
    ! [X0,X1,X2] :
      ( ( quasi_total(X2,X0,X1)
        & function(X2) )
      | ~ v1_partfun1(X2,X0,X1)
      | ~ function(X2)
      | ~ relation_of2(X2,X0,X1) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f65,plain,
    ! [X0,X1,X2] :
      ( ( quasi_total(X2,X0,X1)
        & function(X2) )
      | ~ v1_partfun1(X2,X0,X1)
      | ~ function(X2)
      | ~ relation_of2(X2,X0,X1) ),
    inference(flattening,[],[f64]) ).

fof(f79,plain,
    ! [X0] :
      ( identity_on_carrier(X0) = identity_as_relation_of(the_carrier(X0))
      | ~ one_sorted_str(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f84,plain,
    ! [X0] :
      ( ~ empty(the_carrier(X0))
      | ~ one_sorted_str(X0)
      | empty_carrier(X0) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f85,plain,
    ! [X0] :
      ( ~ empty(the_carrier(X0))
      | ~ one_sorted_str(X0)
      | empty_carrier(X0) ),
    inference(flattening,[],[f84]) ).

fof(f91,plain,
    ! [X0,X1,X2,X3] :
      ( apply_as_element(X0,X1,X2,X3) = apply(X2,X3)
      | ~ element(X3,X0)
      | ~ relation_of2(X2,X0,X1)
      | ~ quasi_total(X2,X0,X1)
      | ~ function(X2)
      | empty(X0) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f92,plain,
    ! [X0,X1,X2,X3] :
      ( apply_as_element(X0,X1,X2,X3) = apply(X2,X3)
      | ~ element(X3,X0)
      | ~ relation_of2(X2,X0,X1)
      | ~ quasi_total(X2,X0,X1)
      | ~ function(X2)
      | empty(X0) ),
    inference(flattening,[],[f91]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | empty(X1)
      | ~ element(X0,X1) ),
    inference(ennf_transformation,[],[f49]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | empty(X1)
      | ~ element(X0,X1) ),
    inference(flattening,[],[f94]) ).

fof(f96,plain,
    ! [X0,X1] :
      ( apply(identity_relation(X0),X1) = X1
      | ~ in(X1,X0) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f104,plain,
    ? [X0] :
      ( ? [X1] :
          ( apply_as_element(the_carrier(X0),the_carrier(X0),identity_on_carrier(X0),X1) != X1
          & element(X1,the_carrier(X0)) )
      & one_sorted_str(X0)
      & ~ empty_carrier(X0) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f105,plain,
    ? [X0] :
      ( ? [X1] :
          ( apply_as_element(the_carrier(X0),the_carrier(X0),identity_on_carrier(X0),X1) != X1
          & element(X1,the_carrier(X0)) )
      & one_sorted_str(X0)
      & ~ empty_carrier(X0) ),
    inference(flattening,[],[f104]) ).

fof(f136,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,[],[f46]) ).

fof(f137,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( apply_as_element(the_carrier(X0),the_carrier(X0),identity_on_carrier(X0),X1) != X1
            & element(X1,the_carrier(X0)) )
        & one_sorted_str(X0)
        & ~ empty_carrier(X0) )
   => ( ? [X1] :
          ( apply_as_element(the_carrier(sK15),the_carrier(sK15),identity_on_carrier(sK15),X1) != X1
          & element(X1,the_carrier(sK15)) )
      & one_sorted_str(sK15)
      & ~ empty_carrier(sK15) ) ),
    introduced(choice_axiom,[]) ).

fof(f138,plain,
    ( ? [X1] :
        ( apply_as_element(the_carrier(sK15),the_carrier(sK15),identity_on_carrier(sK15),X1) != X1
        & element(X1,the_carrier(sK15)) )
   => ( sK16 != apply_as_element(the_carrier(sK15),the_carrier(sK15),identity_on_carrier(sK15),sK16)
      & element(sK16,the_carrier(sK15)) ) ),
    introduced(choice_axiom,[]) ).

fof(f139,plain,
    ( sK16 != apply_as_element(the_carrier(sK15),the_carrier(sK15),identity_on_carrier(sK15),sK16)
    & element(sK16,the_carrier(sK15))
    & one_sorted_str(sK15)
    & ~ empty_carrier(sK15) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16])],[f105,f138,f137]) ).

fof(f142,plain,
    ! [X2,X0,X1] :
      ( quasi_total(X2,X0,X1)
      | ~ v1_partfun1(X2,X0,X1)
      | ~ function(X2)
      | ~ relation_of2(X2,X0,X1) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f165,plain,
    ! [X0] :
      ( identity_on_carrier(X0) = identity_as_relation_of(the_carrier(X0))
      | ~ one_sorted_str(X0) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f166,plain,
    ! [X0] : v1_partfun1(identity_as_relation_of(X0),X0,X0),
    inference(cnf_transformation,[],[f15]) ).

fof(f167,plain,
    ! [X0] : relation_of2_as_subset(identity_as_relation_of(X0),X0,X0),
    inference(cnf_transformation,[],[f15]) ).

fof(f178,plain,
    ! [X0] :
      ( ~ empty(the_carrier(X0))
      | ~ one_sorted_str(X0)
      | empty_carrier(X0) ),
    inference(cnf_transformation,[],[f85]) ).

fof(f182,plain,
    ! [X0] : function(identity_relation(X0)),
    inference(cnf_transformation,[],[f61]) ).

fof(f221,plain,
    ! [X0] : identity_as_relation_of(X0) = identity_relation(X0),
    inference(cnf_transformation,[],[f44]) ).

fof(f222,plain,
    ! [X2,X3,X0,X1] :
      ( apply_as_element(X0,X1,X2,X3) = apply(X2,X3)
      | ~ element(X3,X0)
      | ~ relation_of2(X2,X0,X1)
      | ~ quasi_total(X2,X0,X1)
      | ~ function(X2)
      | empty(X0) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f223,plain,
    ! [X2,X0,X1] :
      ( relation_of2(X2,X0,X1)
      | ~ relation_of2_as_subset(X2,X0,X1) ),
    inference(cnf_transformation,[],[f136]) ).

fof(f227,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | empty(X1)
      | ~ element(X0,X1) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f228,plain,
    ! [X0,X1] :
      ( apply(identity_relation(X0),X1) = X1
      | ~ in(X1,X0) ),
    inference(cnf_transformation,[],[f96]) ).

fof(f235,plain,
    ~ empty_carrier(sK15),
    inference(cnf_transformation,[],[f139]) ).

fof(f236,plain,
    one_sorted_str(sK15),
    inference(cnf_transformation,[],[f139]) ).

fof(f237,plain,
    element(sK16,the_carrier(sK15)),
    inference(cnf_transformation,[],[f139]) ).

fof(f238,plain,
    sK16 != apply_as_element(the_carrier(sK15),the_carrier(sK15),identity_on_carrier(sK15),sK16),
    inference(cnf_transformation,[],[f139]) ).

fof(f239,plain,
    ! [X0] :
      ( identity_on_carrier(X0) = identity_relation(the_carrier(X0))
      | ~ one_sorted_str(X0) ),
    inference(definition_unfolding,[],[f165,f221]) ).

fof(f240,plain,
    ! [X0] : relation_of2_as_subset(identity_relation(X0),X0,X0),
    inference(definition_unfolding,[],[f167,f221]) ).

fof(f241,plain,
    ! [X0] : v1_partfun1(identity_relation(X0),X0,X0),
    inference(definition_unfolding,[],[f166,f221]) ).

cnf(c_50,plain,
    ( ~ v1_partfun1(X0,X1,X2)
    | ~ relation_of2(X0,X1,X2)
    | ~ function(X0)
    | quasi_total(X0,X1,X2) ),
    inference(cnf_transformation,[],[f142]) ).

cnf(c_62,plain,
    ( ~ one_sorted_str(X0)
    | identity_relation(the_carrier(X0)) = identity_on_carrier(X0) ),
    inference(cnf_transformation,[],[f239]) ).

cnf(c_63,plain,
    relation_of2_as_subset(identity_relation(X0),X0,X0),
    inference(cnf_transformation,[],[f240]) ).

cnf(c_64,plain,
    v1_partfun1(identity_relation(X0),X0,X0),
    inference(cnf_transformation,[],[f241]) ).

cnf(c_75,plain,
    ( ~ empty(the_carrier(X0))
    | ~ one_sorted_str(X0)
    | empty_carrier(X0) ),
    inference(cnf_transformation,[],[f178]) ).

cnf(c_81,plain,
    function(identity_relation(X0)),
    inference(cnf_transformation,[],[f182]) ).

cnf(c_118,plain,
    ( ~ quasi_total(X0,X1,X2)
    | ~ relation_of2(X0,X1,X2)
    | ~ element(X3,X1)
    | ~ function(X0)
    | apply_as_element(X1,X2,X0,X3) = apply(X0,X3)
    | empty(X1) ),
    inference(cnf_transformation,[],[f222]) ).

cnf(c_120,plain,
    ( ~ relation_of2_as_subset(X0,X1,X2)
    | relation_of2(X0,X1,X2) ),
    inference(cnf_transformation,[],[f223]) ).

cnf(c_123,plain,
    ( ~ element(X0,X1)
    | in(X0,X1)
    | empty(X1) ),
    inference(cnf_transformation,[],[f227]) ).

cnf(c_124,plain,
    ( ~ in(X0,X1)
    | apply(identity_relation(X1),X0) = X0 ),
    inference(cnf_transformation,[],[f228]) ).

cnf(c_131,negated_conjecture,
    apply_as_element(the_carrier(sK15),the_carrier(sK15),identity_on_carrier(sK15),sK16) != sK16,
    inference(cnf_transformation,[],[f238]) ).

cnf(c_132,negated_conjecture,
    element(sK16,the_carrier(sK15)),
    inference(cnf_transformation,[],[f237]) ).

cnf(c_133,negated_conjecture,
    one_sorted_str(sK15),
    inference(cnf_transformation,[],[f236]) ).

cnf(c_134,negated_conjecture,
    ~ empty_carrier(sK15),
    inference(cnf_transformation,[],[f235]) ).

cnf(c_182,plain,
    ( ~ empty(the_carrier(sK15))
    | ~ one_sorted_str(sK15)
    | empty_carrier(sK15) ),
    inference(instantiation,[status(thm)],[c_75]) ).

cnf(c_205,plain,
    ( ~ relation_of2_as_subset(X0,X1,X2)
    | relation_of2(X0,X1,X2) ),
    inference(prop_impl_just,[status(thm)],[c_120]) ).

cnf(c_233,plain,
    ( ~ one_sorted_str(X0)
    | identity_relation(the_carrier(X0)) = identity_on_carrier(X0) ),
    inference(prop_impl_just,[status(thm)],[c_62]) ).

cnf(c_277,plain,
    ( ~ v1_partfun1(X0,X1,X2)
    | ~ relation_of2_as_subset(X0,X1,X2)
    | ~ function(X0)
    | quasi_total(X0,X1,X2) ),
    inference(bin_hyper_res,[status(thm)],[c_50,c_205]) ).

cnf(c_284,plain,
    ( ~ quasi_total(X0,X1,X2)
    | ~ relation_of2_as_subset(X0,X1,X2)
    | ~ element(X3,X1)
    | ~ function(X0)
    | apply_as_element(X1,X2,X0,X3) = apply(X0,X3)
    | empty(X1) ),
    inference(bin_hyper_res,[status(thm)],[c_118,c_205]) ).

cnf(c_409,plain,
    ( X0 != sK15
    | identity_relation(the_carrier(X0)) = identity_on_carrier(X0) ),
    inference(resolution_lifted,[status(thm)],[c_233,c_133]) ).

cnf(c_410,plain,
    identity_relation(the_carrier(sK15)) = identity_on_carrier(sK15),
    inference(unflattening,[status(thm)],[c_409]) ).

cnf(c_473,plain,
    ( identity_relation(X0) != X1
    | X0 != X2
    | X0 != X3
    | ~ relation_of2_as_subset(X1,X2,X3)
    | ~ function(X1)
    | quasi_total(X1,X2,X3) ),
    inference(resolution_lifted,[status(thm)],[c_277,c_64]) ).

cnf(c_474,plain,
    ( ~ relation_of2_as_subset(identity_relation(X0),X0,X0)
    | ~ function(identity_relation(X0))
    | quasi_total(identity_relation(X0),X0,X0) ),
    inference(unflattening,[status(thm)],[c_473]) ).

cnf(c_476,plain,
    quasi_total(identity_relation(X0),X0,X0),
    inference(global_subsumption_just,[status(thm)],[c_474,c_81,c_63,c_474]) ).

cnf(c_686,plain,
    ( identity_relation(X0) != X1
    | X0 != X2
    | X0 != X3
    | ~ relation_of2_as_subset(X1,X2,X3)
    | ~ element(X4,X2)
    | ~ function(X1)
    | apply_as_element(X2,X3,X1,X4) = apply(X1,X4)
    | empty(X2) ),
    inference(resolution_lifted,[status(thm)],[c_284,c_476]) ).

cnf(c_687,plain,
    ( ~ relation_of2_as_subset(identity_relation(X0),X0,X0)
    | ~ element(X1,X0)
    | ~ function(identity_relation(X0))
    | apply_as_element(X0,X0,identity_relation(X0),X1) = apply(identity_relation(X0),X1)
    | empty(X0) ),
    inference(unflattening,[status(thm)],[c_686]) ).

cnf(c_3730,plain,
    ( in(sK16,the_carrier(sK15))
    | empty(the_carrier(sK15)) ),
    inference(superposition,[status(thm)],[c_132,c_123]) ).

cnf(c_4050,plain,
    ( ~ relation_of2_as_subset(identity_relation(X0),X0,X0)
    | ~ element(X1,X0)
    | ~ function(identity_relation(X0))
    | apply_as_element(X0,X0,identity_relation(X0),X1) = apply(identity_relation(X0),X1)
    | empty(X0) ),
    inference(superposition,[status(thm)],[c_476,c_284]) ).

cnf(c_4174,plain,
    in(sK16,the_carrier(sK15)),
    inference(global_subsumption_just,[status(thm)],[c_3730,c_133,c_134,c_182,c_3730]) ).

cnf(c_4176,plain,
    apply(identity_relation(the_carrier(sK15)),sK16) = sK16,
    inference(superposition,[status(thm)],[c_4174,c_124]) ).

cnf(c_4181,plain,
    apply(identity_on_carrier(sK15),sK16) = sK16,
    inference(demodulation,[status(thm)],[c_4176,c_410]) ).

cnf(c_4814,plain,
    ( ~ element(X1,X0)
    | apply_as_element(X0,X0,identity_relation(X0),X1) = apply(identity_relation(X0),X1)
    | empty(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_4050,c_81,c_63,c_687]) ).

cnf(c_4815,plain,
    ( ~ element(X0,X1)
    | apply_as_element(X1,X1,identity_relation(X1),X0) = apply(identity_relation(X1),X0)
    | empty(X1) ),
    inference(renaming,[status(thm)],[c_4814]) ).

cnf(c_4824,plain,
    ( apply_as_element(the_carrier(sK15),the_carrier(sK15),identity_relation(the_carrier(sK15)),sK16) = apply(identity_relation(the_carrier(sK15)),sK16)
    | empty(the_carrier(sK15)) ),
    inference(superposition,[status(thm)],[c_132,c_4815]) ).

cnf(c_4843,plain,
    ( apply_as_element(the_carrier(sK15),the_carrier(sK15),identity_on_carrier(sK15),sK16) = sK16
    | empty(the_carrier(sK15)) ),
    inference(demodulation,[status(thm)],[c_4824,c_410,c_4181]) ).

cnf(c_4893,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_4843,c_131,c_182,c_134,c_133]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SEU353+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n005.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 Aug 24 01:02:24 EDT 2023
% 0.14/0.35  % 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 --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.50/1.17  % SZS status Started for theBenchmark.p
% 3.50/1.17  % SZS status Theorem for theBenchmark.p
% 3.50/1.17  
% 3.50/1.17  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.50/1.17  
% 3.50/1.17  ------  iProver source info
% 3.50/1.17  
% 3.50/1.17  git: date: 2023-05-31 18:12:56 +0000
% 3.50/1.17  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.50/1.17  git: non_committed_changes: false
% 3.50/1.17  git: last_make_outside_of_git: false
% 3.50/1.17  
% 3.50/1.17  ------ Parsing...
% 3.50/1.17  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 3.50/1.17  
% 3.50/1.17  ------ Preprocessing... sup_sim: 0  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e  sup_sim: 0  pe_s  pe_e 
% 3.50/1.17  
% 3.50/1.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  scvd_s sp: 1 0s scvd_e  snvd_s sp: 0 0s snvd_e 
% 3.50/1.17  
% 3.50/1.17  ------ Preprocessing...
% 3.50/1.17  ------ Proving...
% 3.50/1.17  ------ Problem Properties 
% 3.50/1.17  
% 3.50/1.17  
% 3.50/1.17  clauses                                 64
% 3.50/1.17  conjectures                             2
% 3.50/1.17  EPR                                     13
% 3.50/1.17  Horn                                    57
% 3.50/1.17  unary                                   44
% 3.50/1.17  binary                                  12
% 3.50/1.17  lits                                    101
% 3.50/1.17  lits eq                                 10
% 3.50/1.17  fd_pure                                 0
% 3.50/1.17  fd_pseudo                               0
% 3.50/1.17  fd_cond                                 3
% 3.50/1.17  fd_pseudo_cond                          1
% 3.50/1.17  AC symbols                              0
% 3.50/1.17  
% 3.50/1.17  ------ Input Options Time Limit: Unbounded
% 3.50/1.17  
% 3.50/1.17  
% 3.50/1.17  ------ 
% 3.50/1.17  Current options:
% 3.50/1.17  ------ 
% 3.50/1.17  
% 3.50/1.17  
% 3.50/1.17  
% 3.50/1.17  
% 3.50/1.17  ------ Proving...
% 3.50/1.17  
% 3.50/1.17  
% 3.50/1.17  % SZS status Theorem for theBenchmark.p
% 3.50/1.17  
% 3.50/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.50/1.17  
% 3.50/1.17  
%------------------------------------------------------------------------------