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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SET807+4 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 02:48:37 PM UTC 2026

% Result   : Theorem 0.57s 1.22s
% Output   : CNFRefutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   66 (   7 unt;   1 def)
%            Number of atoms       :  275 (   0 equ)
%            Maximal formula atoms :    9 (   4 avg)
%            Number of connectives :  223 (  80   ~;  74   |;  53   &)
%                                         (   5 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :  133 (   0 sgn 112   !;  21   ?;  38   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( member(X2,X0)
         => member(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',subset) ).

fof(f16,axiom,
    ! [X0,X1] :
      ( pre_order(X0,X1)
    <=> ( ! [X2,X3,X4] :
            ( ( member(X4,X1)
              & member(X3,X1)
              & member(X2,X1) )
           => ( ( apply(X0,X3,X4)
                & apply(X0,X2,X3) )
             => apply(X0,X2,X4) ) )
        & ! [X2] :
            ( member(X2,X1)
           => apply(X0,X2,X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+2.ax',pre_order) ).

fof(f17,axiom,
    ! [X0,X1] :
      ( apply(subset_predicate,X0,X1)
    <=> subset(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rel_subset) ).

fof(f18,conjecture,
    ! [X0] : pre_order(subset_predicate,power_set(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIV18a) ).

fof(f19,negated_conjecture,
    ~ ! [X0] : pre_order(subset_predicate,power_set(X0)),
    inference(negated_conjecture,[status(cth)],[f18]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( pre_order(X0,X1)
    <=> ( ! [X3,X4,X5] :
            ( ( member(X5,X1)
              & member(X4,X1)
              & member(X3,X1) )
           => ( ( apply(X0,X4,X5)
                & apply(X0,X3,X4) )
             => apply(X0,X3,X5) ) )
        & ! [X2] :
            ( member(X2,X1)
           => apply(X0,X2,X2) ) ) ),
    inference(rectify,[],[f16]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( ( ! [X3,X4,X5] :
            ( ( member(X5,X1)
              & member(X4,X1)
              & member(X3,X1) )
           => ( ( apply(X0,X4,X5)
                & apply(X0,X3,X4) )
             => apply(X0,X3,X5) ) )
        & ! [X2] :
            ( member(X2,X1)
           => apply(X0,X2,X2) ) )
     => pre_order(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f20]) ).

fof(f22,plain,
    ? [X0] : ~ pre_order(subset_predicate,power_set(X0)),
    inference(ennf_transformation,[],[f19]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( ~ member(X2,X0)
          | member(X2,X1) ) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( ? [X3,X4,X5] :
          ( member(X5,X1)
          & member(X4,X1)
          & member(X3,X1)
          & apply(X0,X4,X5)
          & apply(X0,X3,X4)
          & ~ apply(X0,X3,X5) )
      | ? [X2] :
          ( member(X2,X1)
          & ~ apply(X0,X2,X2) )
      | pre_order(X0,X1) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( ? [X3,X4,X5] :
          ( member(X5,X1)
          & member(X4,X1)
          & member(X3,X1)
          & apply(X0,X4,X5)
          & apply(X0,X3,X4)
          & ~ apply(X0,X3,X5) )
      | ? [X2] :
          ( member(X2,X1)
          & ~ apply(X0,X2,X2) )
      | pre_order(X0,X1) ),
    inference(flattening,[],[f24]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( ( ~ apply(subset_predicate,X0,X1)
        | subset(X0,X1) )
      & ( ~ subset(X0,X1)
        | apply(subset_predicate,X0,X1) ) ),
    inference(nnf_transformation,[],[f17]) ).

fof(f29,plain,
    ~ pre_order(subset_predicate,power_set(sK1)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f22]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( ( ~ subset(X0,X1)
        | ! [X2] :
            ( ~ member(X2,X0)
            | member(X2,X1) ) )
      & ( ? [X2] :
            ( member(X2,X0)
            & ~ member(X2,X1) )
        | subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f23]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( ( ~ subset(X0,X1)
        | ! [X3] :
            ( ~ member(X3,X0)
            | member(X3,X1) ) )
      & ( ? [X2] :
            ( member(X2,X0)
            & ~ member(X2,X1) )
        | subset(X0,X1) ) ),
    inference(rectify,[],[f30]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ( ~ subset(X0,X1)
        | ! [X3] :
            ( ~ member(X3,X0)
            | member(X3,X1) ) )
      & ( ( member(sK2(X0,X1),X0)
          & ~ member(sK2(X0,X1),X1) )
        | subset(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0,X1))],[f31]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( sP0(X0,X1)
      | ( member(sK6(X0,X1),X1)
        & ~ apply(X0,sK6(X0,X1),sK6(X0,X1)) )
      | pre_order(X0,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X2,sK6(X0,X1))],[f27]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( ~ apply(subset_predicate,X0,X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( ~ subset(X0,X1)
      | apply(subset_predicate,X0,X1) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f40,plain,
    ~ pre_order(subset_predicate,power_set(sK1)),
    inference(cnf_transformation,[],[f29]) ).

fof(f41,plain,
    ! [X3,X0,X1] :
      ( ~ subset(X0,X1)
      | ~ member(X3,X0)
      | member(X3,X1) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( member(sK2(X0,X1),X0)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( ~ member(sK2(X0,X1),X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( sP0(X0,X1)
      | ~ apply(X0,sK6(X0,X1),sK6(X0,X1))
      | pre_order(X0,X1) ),
    inference(cnf_transformation,[],[f37]) ).

tcf(c_49,plain,
    ! [X0: $i,X1: $i] :
      ( apply(subset_predicate,X0,X1)
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f39]) ).

tcf(c_50,plain,
    ! [X0: $i,X1: $i] :
      ( subset(X0,X1)
      | ~ apply(subset_predicate,X0,X1) ),
    inference(cnf_transformation,[],[f38]) ).

tcf(c_51,negated_conjecture,
    ~ pre_order(subset_predicate,power_set(sK1)),
    inference(cnf_transformation,[],[f40]) ).

tcf(c_52,plain,
    ! [X0: $i,X1: $i] :
      ( subset(X0,X1)
      | ~ member(sK2(X0,X1),X1) ),
    inference(cnf_transformation,[],[f43]) ).

tcf(c_53,plain,
    ! [X0: $i,X1: $i] :
      ( subset(X0,X1)
      | member(sK2(X0,X1),X0) ),
    inference(cnf_transformation,[],[f42]) ).

tcf(c_54,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( member(X2,X1)
      | ~ member(X2,X0)
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f41]) ).

tcf(c_63,plain,
    ! [X0: $i,X1: $i] :
      ( sP0(X0,X1)
      | pre_order(X0,X1)
      | ~ apply(X0,sK6(X0,X1),sK6(X0,X1)) ),
    inference(cnf_transformation,[],[f53]) ).

tcf(c_79,plain,
    ! [X0: $i,X1: $i] :
      ( ~ apply(subset_predicate,X0,X1)
      | subset(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_50]) ).

tcf(c_80,plain,
    ! [X0: $i,X1: $i] :
      ( subset(X0,X1)
      | ~ apply(subset_predicate,X0,X1) ),
    inference(renaming,[status(thm)],[c_79]) ).

tcf(c_81,plain,
    ! [X0: $i,X1: $i] :
      ( apply(subset_predicate,X0,X1)
      | ~ subset(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_49]) ).

tcf(c_220,plain,
    ( sP0(subset_predicate,power_set(sK1))
    | ~ apply(subset_predicate,sK6(subset_predicate,power_set(sK1)),sK6(subset_predicate,power_set(sK1))) ),
    inference(resolution,[status(thm)],[c_51,c_63]) ).

tcf(c_256,plain,
    ( sP0(subset_predicate,power_set(sK1))
    | ~ subset(sK6(subset_predicate,power_set(sK1)),sK6(subset_predicate,power_set(sK1))) ),
    inference(resolution,[status(thm)],[c_81,c_220]) ).

tcf(c_381,plain,
    ( subset(sK6(subset_predicate,power_set(sK1)),sK6(subset_predicate,power_set(sK1)))
    | ~ member(sK2(sK6(subset_predicate,power_set(sK1)),sK6(subset_predicate,power_set(sK1))),sK6(subset_predicate,power_set(sK1))) ),
    inference(instantiation,[status(thm)],[c_52]) ).

tcf(c_382,plain,
    ( subset(sK3(subset_predicate,power_set(sK1)),sK5(subset_predicate,power_set(sK1)))
    | ~ member(sK2(sK3(subset_predicate,power_set(sK1)),sK5(subset_predicate,power_set(sK1))),sK5(subset_predicate,power_set(sK1))) ),
    inference(instantiation,[status(thm)],[c_52]) ).

tcf(c_383,plain,
    ( subset(sK6(subset_predicate,power_set(sK1)),sK6(subset_predicate,power_set(sK1)))
    | member(sK2(sK6(subset_predicate,power_set(sK1)),sK6(subset_predicate,power_set(sK1))),sK6(subset_predicate,power_set(sK1))) ),
    inference(instantiation,[status(thm)],[c_53]) ).

tcf(c_384,plain,
    ( subset(sK3(subset_predicate,power_set(sK1)),sK5(subset_predicate,power_set(sK1)))
    | member(sK2(sK3(subset_predicate,power_set(sK1)),sK5(subset_predicate,power_set(sK1))),sK3(subset_predicate,power_set(sK1))) ),
    inference(instantiation,[status(thm)],[c_53]) ).

tcf(c_398,plain,
    ! [X0: $i] :
      ( member(sK2(sK3(subset_predicate,power_set(sK1)),sK5(subset_predicate,power_set(sK1))),X0)
      | ~ subset(sK3(subset_predicate,power_set(sK1)),X0)
      | ~ member(sK2(sK3(subset_predicate,power_set(sK1)),sK5(subset_predicate,power_set(sK1))),sK3(subset_predicate,power_set(sK1))) ),
    inference(instantiation,[status(thm)],[c_54]) ).

tcf(c_403,plain,
    ! [X0: $i,X1: $i] :
      ( member(sK2(sK3(subset_predicate,power_set(sK1)),sK5(subset_predicate,power_set(sK1))),X1)
      | ~ subset(X0,X1)
      | ~ member(sK2(sK3(subset_predicate,power_set(sK1)),sK5(subset_predicate,power_set(sK1))),X0) ),
    inference(instantiation,[status(thm)],[c_54]) ).

tcf(c_446,plain,
    ( member(sK2(sK3(subset_predicate,power_set(sK1)),sK5(subset_predicate,power_set(sK1))),sK4(subset_predicate,power_set(sK1)))
    | ~ subset(sK3(subset_predicate,power_set(sK1)),sK4(subset_predicate,power_set(sK1)))
    | ~ member(sK2(sK3(subset_predicate,power_set(sK1)),sK5(subset_predicate,power_set(sK1))),sK3(subset_predicate,power_set(sK1))) ),
    inference(instantiation,[status(thm)],[c_398]) ).

tcf(c_453,plain,
    ! [X0: $i] :
      ( member(sK2(sK3(subset_predicate,power_set(sK1)),sK5(subset_predicate,power_set(sK1))),X0)
      | ~ subset(sK4(subset_predicate,power_set(sK1)),X0)
      | ~ member(sK2(sK3(subset_predicate,power_set(sK1)),sK5(subset_predicate,power_set(sK1))),sK4(subset_predicate,power_set(sK1))) ),
    inference(instantiation,[status(thm)],[c_403]) ).

tcf(c_516,plain,
    ( member(sK2(sK3(subset_predicate,power_set(sK1)),sK5(subset_predicate,power_set(sK1))),sK5(subset_predicate,power_set(sK1)))
    | ~ subset(sK4(subset_predicate,power_set(sK1)),sK5(subset_predicate,power_set(sK1)))
    | ~ member(sK2(sK3(subset_predicate,power_set(sK1)),sK5(subset_predicate,power_set(sK1))),sK4(subset_predicate,power_set(sK1))) ),
    inference(instantiation,[status(thm)],[c_453]) ).

fof(f26,definition,
    ! [X0,X1] :
      ( ~ sP0(X0,X1)
      | ? [X3,X4,X5] :
          ( member(X5,X1)
          & member(X4,X1)
          & member(X3,X1)
          & apply(X0,X4,X5)
          & apply(X0,X3,X4)
          & ~ apply(X0,X3,X5) ) ),
    introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( sP0(X0,X1)
      | ? [X2] :
          ( member(X2,X1)
          & ~ apply(X0,X2,X2) )
      | pre_order(X0,X1) ),
    inference(definition_folding,[],[f25,f26]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( ~ sP0(X0,X1)
      | ? [X3,X4,X5] :
          ( member(X5,X1)
          & member(X4,X1)
          & member(X3,X1)
          & apply(X0,X4,X5)
          & apply(X0,X3,X4)
          & ~ apply(X0,X3,X5) ) ),
    inference(nnf_transformation,[],[f26]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( ~ sP0(X0,X1)
      | ? [X2,X3,X4] :
          ( member(X4,X1)
          & member(X3,X1)
          & member(X2,X1)
          & apply(X0,X3,X4)
          & apply(X0,X2,X3)
          & ~ apply(X0,X2,X4) ) ),
    inference(rectify,[],[f34]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( ~ sP0(X0,X1)
      | ( member(sK5(X0,X1),X1)
        & member(sK4(X0,X1),X1)
        & member(sK3(X0,X1),X1)
        & apply(X0,sK4(X0,X1),sK5(X0,X1))
        & apply(X0,sK3(X0,X1),sK4(X0,X1))
        & ~ apply(X0,sK3(X0,X1),sK5(X0,X1)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5]),skolemize(X2,sK3(X0,X1)),skolemize(X3,sK4(X0,X1)),skolemize(X4,sK5(X0,X1))],[f35]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( ~ sP0(X0,X1)
      | apply(X0,sK4(X0,X1),sK5(X0,X1)) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( ~ sP0(X0,X1)
      | apply(X0,sK3(X0,X1),sK4(X0,X1)) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ~ sP0(X0,X1)
      | ~ apply(X0,sK3(X0,X1),sK5(X0,X1)) ),
    inference(cnf_transformation,[],[f36]) ).

tcf(c_57,plain,
    ! [X0: $i,X1: $i] :
      ( ~ sP0(X0,X1)
      | ~ apply(X0,sK3(X0,X1),sK5(X0,X1)) ),
    inference(cnf_transformation,[],[f51]) ).

tcf(c_58,plain,
    ! [X0: $i,X1: $i] :
      ( apply(X0,sK3(X0,X1),sK4(X0,X1))
      | ~ sP0(X0,X1) ),
    inference(cnf_transformation,[],[f50]) ).

tcf(c_59,plain,
    ! [X0: $i,X1: $i] :
      ( apply(X0,sK4(X0,X1),sK5(X0,X1))
      | ~ sP0(X0,X1) ),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_93,plain,
    ! [X0: $i,X1: $i] :
      ( ~ sP0(X0,X1)
      | ~ apply(X0,sK3(X0,X1),sK5(X0,X1)) ),
    inference(prop_impl_just,[status(thm)],[c_57]) ).

tcf(c_97,plain,
    ! [X0: $i,X1: $i] :
      ( apply(X0,sK3(X0,X1),sK4(X0,X1))
      | ~ sP0(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_58]) ).

tcf(c_99,plain,
    ! [X0: $i,X1: $i] :
      ( apply(X0,sK4(X0,X1),sK5(X0,X1))
      | ~ sP0(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_59]) ).

tcf(c_232,plain,
    ! [X0: $i] :
      ( ~ sP0(subset_predicate,X0)
      | ~ subset(sK3(subset_predicate,X0),sK5(subset_predicate,X0)) ),
    inference(resolution,[status(thm)],[c_81,c_93]) ).

tcf(c_240,plain,
    ! [X0: $i] :
      ( subset(sK3(subset_predicate,X0),sK4(subset_predicate,X0))
      | ~ sP0(subset_predicate,X0) ),
    inference(resolution,[status(thm)],[c_80,c_97]) ).

tcf(c_248,plain,
    ! [X0: $i] :
      ( subset(sK4(subset_predicate,X0),sK5(subset_predicate,X0))
      | ~ sP0(subset_predicate,X0) ),
    inference(resolution,[status(thm)],[c_80,c_99]) ).

tcf(c_313,plain,
    ( subset(sK4(subset_predicate,power_set(sK1)),sK5(subset_predicate,power_set(sK1)))
    | ~ subset(sK6(subset_predicate,power_set(sK1)),sK6(subset_predicate,power_set(sK1))) ),
    inference(resolution,[status(thm)],[c_256,c_248]) ).

tcf(c_320,plain,
    ( subset(sK3(subset_predicate,power_set(sK1)),sK4(subset_predicate,power_set(sK1)))
    | ~ subset(sK6(subset_predicate,power_set(sK1)),sK6(subset_predicate,power_set(sK1))) ),
    inference(resolution,[status(thm)],[c_256,c_240]) ).

tcf(c_327,plain,
    ( ~ subset(sK6(subset_predicate,power_set(sK1)),sK6(subset_predicate,power_set(sK1)))
    | ~ subset(sK3(subset_predicate,power_set(sK1)),sK5(subset_predicate,power_set(sK1))) ),
    inference(resolution,[status(thm)],[c_256,c_232]) ).

tcf(c_517,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_516,c_446,c_384,c_383,c_382,c_381,c_327,c_320,c_313]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET807+4 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.37  % Computer : n015.cluster.edu
% 0.12/0.37  % Model    : x86_64 x86_64
% 0.12/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37  % Memory   : 8046.5625MB
% 0.12/0.37  % OS       : Linux 6.8.0-71-generic
% 0.12/0.37  % CPULimit : 300
% 0.12/0.37  % WCLimit  : 300
% 0.12/0.37  % DateTime : Thu Sep 24 12:03:55 UTC 2026
% 0.12/0.37  % CPUTime  : 
% 0.12/0.38  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.41  Running first-order theorem proving
% 0.12/0.41  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.43  
% 0.12/0.43  % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.43  
% 0.12/0.43  % Detected problem language: tptp
% 0.12/0.44  % Proving...
% 0.57/1.22  % SZS status Started for theBenchmark.p
% 0.57/1.22  % SZS status Theorem for theBenchmark.p
% 0.57/1.22  
% 0.57/1.22  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.57/1.22  
% 0.57/1.22  % ------  iProver source info
% 0.57/1.22  
% 0.57/1.22  % git: date: 2026-07-19 20:42:38 +0200
% 0.57/1.22  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.57/1.22  % git: non_committed_changes: false
% 0.57/1.22  
% 0.57/1.22  % ------ Parsing...
% 0.57/1.22  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 0.57/1.22  
% 0.57/1.22  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e % 
% 0.57/1.22  
% 0.57/1.22  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.57/1.22  % ------ Proving...
% 0.57/1.22  % ------ Problem Properties 
% 0.57/1.22  
% 0.57/1.22  % 
% 0.57/1.22  % clauses                               17
% 0.57/1.22  % conjectures                           0
% 0.57/1.22  % EPR                                   1
% 0.57/1.22  % Horn                                  11
% 0.57/1.22  % unary                                 0
% 0.57/1.22  % binary                                16
% 0.57/1.22  % lits                                  35
% 0.57/1.22  % lits eq                               0
% 0.57/1.22  % fd_pure                               0
% 0.57/1.22  % fd_pseudo                             0
% 0.57/1.22  % fd_cond                               0
% 0.57/1.22  % fd_pseudo_cond                        0
% 0.57/1.22  % AC symbols                            0
% 0.57/1.22  
% 0.57/1.22  % ------ Schedule dynamic 5 is on 
% 0.57/1.22  
% 0.57/1.22  % ------ no conjectures: strip conj schedule 
% 0.57/1.22  
% 0.57/1.22  % ------ no equalities: superposition off 
% 0.57/1.22  
% 0.57/1.22  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 0.57/1.22  
% 0.57/1.22  
% 0.57/1.22  % ------ 
% 0.57/1.22  % Current options:
% 0.57/1.22  % ------ 
% 0.57/1.22  
% 0.57/1.22  
% 0.57/1.22  % 
% 0.57/1.22  
% 0.57/1.22  % ------ Proving...
% 0.57/1.22  % 
% 0.57/1.22  
% 0.57/1.22  % SZS status Theorem for theBenchmark.p
% 0.57/1.22  
% 0.57/1.22  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.57/1.22  
% 0.57/1.22  
%------------------------------------------------------------------------------