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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SEU183+1 : TPTP v9.3.1. Released v3.3.0.
% 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 02:55:47 PM UTC 2026

% Result   : Theorem 7.15s 1.85s
% Output   : CNFRefutation 7.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   57 (   9 unt;   0 def)
%            Number of atoms       :  241 (  23 equ)
%            Maximal formula atoms :   17 (   4 avg)
%            Number of connectives :  308 ( 124   ~; 127   |;  37   &)
%                                         (  10 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   6 avg)
%            Maximal term depth    :    7 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   2 con; 0-4 aty)
%            Number of variables   :  157 (   0 sgn 135   !;  22   ?;  31   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).

fof(f4,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( X1 = relation_rng(X0)
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_relat_1) ).

fof(f6,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( relation(X1)
         => ! [X2] :
              ( relation(X2)
             => ( X2 = relation_composition(X0,X1)
              <=> ! [X3,X4] :
                    ( in(ordered_pair(X3,X4),X2)
                  <=> ? [X5] :
                        ( in(ordered_pair(X5,X4),X1)
                        & in(ordered_pair(X3,X5),X0) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_relat_1) ).

fof(f13,axiom,
    ! [X0,X1] :
      ( ( relation(X1)
        & relation(X0) )
     => relation(relation_composition(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_relat_1) ).

fof(f30,conjecture,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( relation(X1)
         => subset(relation_rng(relation_composition(X0,X1)),relation_rng(X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t45_relat_1) ).

fof(f31,negated_conjecture,
    ~ ! [X0] :
        ( relation(X0)
       => ! [X1] :
            ( relation(X1)
           => subset(relation_rng(relation_composition(X0,X1)),relation_rng(X1)) ) ),
    inference(negated_conjecture,[status(cth)],[f30]) ).

fof(f38,plain,
    ? [X0] :
      ( relation(X0)
      & ? [X1] :
          ( relation(X1)
          & ~ subset(relation_rng(relation_composition(X0,X1)),relation_rng(X1)) ) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f39,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( X1 = relation_rng(X0)
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( ~ in(X2,X0)
          | in(X2,X1) ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( ~ relation(X1)
      | ~ relation(X0)
      | relation(relation_composition(X0,X1)) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( ~ relation(X1)
      | ~ relation(X0)
      | relation(relation_composition(X0,X1)) ),
    inference(flattening,[],[f41]) ).

fof(f43,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ~ relation(X1)
          | ! [X2] :
              ( ~ relation(X2)
              | ( X2 = relation_composition(X0,X1)
              <=> ! [X3,X4] :
                    ( in(ordered_pair(X3,X4),X2)
                  <=> ? [X5] :
                        ( in(ordered_pair(X5,X4),X1)
                        & in(ordered_pair(X3,X5),X0) ) ) ) ) ) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f54,plain,
    ( relation(sK0)
    & relation(sK1)
    & ~ subset(relation_rng(relation_composition(sK0,sK1)),relation_rng(sK1)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f38]) ).

fof(f55,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ( relation_rng(X0) != X1
            | ! [X2] :
                ( ( ~ in(X2,X1)
                  | ? [X3] : in(ordered_pair(X3,X2),X0) )
                & ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
                  | in(X2,X1) ) ) )
          & ( ? [X2] :
                ( ( in(X2,X1)
                  | ? [X3] : in(ordered_pair(X3,X2),X0) )
                & ( ~ in(X2,X1)
                  | ! [X3] : ~ in(ordered_pair(X3,X2),X0) ) )
            | X1 = relation_rng(X0) ) ) ),
    inference(nnf_transformation,[],[f39]) ).

fof(f56,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ( relation_rng(X0) != X1
            | ! [X5] :
                ( ( ~ in(X5,X1)
                  | ? [X7] : in(ordered_pair(X7,X5),X0) )
                & ( ! [X6] : ~ in(ordered_pair(X6,X5),X0)
                  | in(X5,X1) ) ) )
          & ( ? [X2] :
                ( ( in(X2,X1)
                  | ? [X4] : in(ordered_pair(X4,X2),X0) )
                & ( ~ in(X2,X1)
                  | ! [X3] : ~ in(ordered_pair(X3,X2),X0) ) )
            | X1 = relation_rng(X0) ) ) ),
    inference(rectify,[],[f55]) ).

fof(f57,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ( relation_rng(X0) != X1
            | ! [X5] :
                ( ( ~ in(X5,X1)
                  | in(ordered_pair(sK4(X0,X5),X5),X0) )
                & ( ! [X6] : ~ in(ordered_pair(X6,X5),X0)
                  | in(X5,X1) ) ) )
          & ( ( ( in(sK2(X0,X1),X1)
                | in(ordered_pair(sK3(X0,X1),sK2(X0,X1)),X0) )
              & ( ~ in(sK2(X0,X1),X1)
                | ! [X3] : ~ in(ordered_pair(X3,sK2(X0,X1)),X0) ) )
            | X1 = relation_rng(X0) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X2,sK2(X0,X1)),skolemize(X4,sK3(X0,X1)),skolemize(X7,sK4(X0,X5))],[f56]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( ( ~ subset(X0,X1)
        | ! [X2] :
            ( ~ in(X2,X0)
            | in(X2,X1) ) )
      & ( ? [X2] :
            ( in(X2,X0)
            & ~ in(X2,X1) )
        | subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f40]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( ( ~ subset(X0,X1)
        | ! [X3] :
            ( ~ in(X3,X0)
            | in(X3,X1) ) )
      & ( ? [X2] :
            ( in(X2,X0)
            & ~ in(X2,X1) )
        | subset(X0,X1) ) ),
    inference(rectify,[],[f59]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ( ~ subset(X0,X1)
        | ! [X3] :
            ( ~ in(X3,X0)
            | in(X3,X1) ) )
      & ( ( in(sK5(X0,X1),X0)
          & ~ in(sK5(X0,X1),X1) )
        | subset(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0,X1))],[f60]) ).

fof(f63,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ~ relation(X1)
          | ! [X2] :
              ( ~ relation(X2)
              | ( ( relation_composition(X0,X1) != X2
                  | ! [X3,X4] :
                      ( ( ~ in(ordered_pair(X3,X4),X2)
                        | ? [X5] :
                            ( in(ordered_pair(X5,X4),X1)
                            & in(ordered_pair(X3,X5),X0) ) )
                      & ( ! [X5] :
                            ( ~ in(ordered_pair(X5,X4),X1)
                            | ~ in(ordered_pair(X3,X5),X0) )
                        | in(ordered_pair(X3,X4),X2) ) ) )
                & ( ? [X3,X4] :
                      ( ( in(ordered_pair(X3,X4),X2)
                        | ? [X5] :
                            ( in(ordered_pair(X5,X4),X1)
                            & in(ordered_pair(X3,X5),X0) ) )
                      & ( ~ in(ordered_pair(X3,X4),X2)
                        | ! [X5] :
                            ( ~ in(ordered_pair(X5,X4),X1)
                            | ~ in(ordered_pair(X3,X5),X0) ) ) )
                  | X2 = relation_composition(X0,X1) ) ) ) ) ),
    inference(nnf_transformation,[],[f43]) ).

fof(f64,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ~ relation(X1)
          | ! [X2] :
              ( ~ relation(X2)
              | ( ( relation_composition(X0,X1) != X2
                  | ! [X7,X8] :
                      ( ( ~ in(ordered_pair(X7,X8),X2)
                        | ? [X10] :
                            ( in(ordered_pair(X10,X8),X1)
                            & in(ordered_pair(X7,X10),X0) ) )
                      & ( ! [X9] :
                            ( ~ in(ordered_pair(X9,X8),X1)
                            | ~ in(ordered_pair(X7,X9),X0) )
                        | in(ordered_pair(X7,X8),X2) ) ) )
                & ( ? [X3,X4] :
                      ( ( in(ordered_pair(X3,X4),X2)
                        | ? [X6] :
                            ( in(ordered_pair(X6,X4),X1)
                            & in(ordered_pair(X3,X6),X0) ) )
                      & ( ~ in(ordered_pair(X3,X4),X2)
                        | ! [X5] :
                            ( ~ in(ordered_pair(X5,X4),X1)
                            | ~ in(ordered_pair(X3,X5),X0) ) ) )
                  | X2 = relation_composition(X0,X1) ) ) ) ) ),
    inference(rectify,[],[f63]) ).

fof(f65,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ~ relation(X1)
          | ! [X2] :
              ( ~ relation(X2)
              | ( ( relation_composition(X0,X1) != X2
                  | ! [X7,X8] :
                      ( ( ~ in(ordered_pair(X7,X8),X2)
                        | ( in(ordered_pair(sK10(X0,X1,X7,X8),X8),X1)
                          & in(ordered_pair(X7,sK10(X0,X1,X7,X8)),X0) ) )
                      & ( ! [X9] :
                            ( ~ in(ordered_pair(X9,X8),X1)
                            | ~ in(ordered_pair(X7,X9),X0) )
                        | in(ordered_pair(X7,X8),X2) ) ) )
                & ( ( ( in(ordered_pair(sK7(X0,X1,X2),sK8(X0,X1,X2)),X2)
                      | ( in(ordered_pair(sK9(X0,X1,X2),sK8(X0,X1,X2)),X1)
                        & in(ordered_pair(sK7(X0,X1,X2),sK9(X0,X1,X2)),X0) ) )
                    & ( ~ in(ordered_pair(sK7(X0,X1,X2),sK8(X0,X1,X2)),X2)
                      | ! [X5] :
                          ( ~ in(ordered_pair(X5,sK8(X0,X1,X2)),X1)
                          | ~ in(ordered_pair(sK7(X0,X1,X2),X5),X0) ) ) )
                  | X2 = relation_composition(X0,X1) ) ) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10]),skolemize(X3,sK7(X0,X1,X2)),skolemize(X4,sK8(X0,X1,X2)),skolemize(X6,sK9(X0,X1,X2)),skolemize(X10,sK10(X0,X1,X7,X8))],[f64]) ).

fof(f71,plain,
    relation(sK0),
    inference(cnf_transformation,[],[f54]) ).

fof(f72,plain,
    relation(sK1),
    inference(cnf_transformation,[],[f54]) ).

fof(f73,plain,
    ~ subset(relation_rng(relation_composition(sK0,sK1)),relation_rng(sK1)),
    inference(cnf_transformation,[],[f54]) ).

fof(f74,plain,
    ! [X0,X1,X5] :
      ( ~ relation(X0)
      | relation_rng(X0) != X1
      | ~ in(X5,X1)
      | in(ordered_pair(sK4(X0,X5),X5),X0) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f75,plain,
    ! [X0,X1,X6,X5] :
      ( ~ relation(X0)
      | relation_rng(X0) != X1
      | ~ in(ordered_pair(X6,X5),X0)
      | in(X5,X1) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( in(sK5(X0,X1),X0)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( ~ in(sK5(X0,X1),X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( ~ relation(X1)
      | ~ relation(X0)
      | relation(relation_composition(X0,X1)) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f87,plain,
    ! [X2,X0,X1,X8,X7] :
      ( ~ relation(X0)
      | ~ relation(X1)
      | ~ relation(X2)
      | relation_composition(X0,X1) != X2
      | ~ in(ordered_pair(X7,X8),X2)
      | in(ordered_pair(sK10(X0,X1,X7,X8),X8),X1) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f109,plain,
    ! [X0,X6,X5] :
      ( ~ relation(X0)
      | ~ in(ordered_pair(X6,X5),X0)
      | in(X5,relation_rng(X0)) ),
    inference(equality_resolution,[],[f75]) ).

fof(f110,plain,
    ! [X0,X5] :
      ( ~ relation(X0)
      | ~ in(X5,relation_rng(X0))
      | in(ordered_pair(sK4(X0,X5),X5),X0) ),
    inference(equality_resolution,[],[f74]) ).

fof(f113,plain,
    ! [X0,X1,X8,X7] :
      ( ~ relation(X0)
      | ~ relation(X1)
      | ~ relation(relation_composition(X0,X1))
      | ~ in(ordered_pair(X7,X8),relation_composition(X0,X1))
      | in(ordered_pair(sK10(X0,X1,X7,X8),X8),X1) ),
    inference(equality_resolution,[],[f87]) ).

tcf(c_49,negated_conjecture,
    ~ subset(relation_rng(relation_composition(sK0,sK1)),relation_rng(sK1)),
    inference(cnf_transformation,[],[f73]) ).

tcf(c_50,negated_conjecture,
    relation(sK1),
    inference(cnf_transformation,[],[f72]) ).

tcf(c_51,negated_conjecture,
    relation(sK0),
    inference(cnf_transformation,[],[f71]) ).

tcf(c_54,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( in(X1,relation_rng(X2))
      | ~ relation(X2)
      | ~ in(ordered_pair(X0,X1),X2) ),
    inference(cnf_transformation,[],[f109]) ).

tcf(c_55,plain,
    ! [X0: $i,X1: $i] :
      ( in(ordered_pair(sK4(X1,X0),X0),X1)
      | ~ relation(X1)
      | ~ in(X0,relation_rng(X1)) ),
    inference(cnf_transformation,[],[f110]) ).

tcf(c_59,plain,
    ! [X0: $i,X1: $i] :
      ( subset(X0,X1)
      | ~ in(sK5(X0,X1),X1) ),
    inference(cnf_transformation,[],[f83]) ).

tcf(c_60,plain,
    ! [X0: $i,X1: $i] :
      ( subset(X0,X1)
      | in(sK5(X0,X1),X0) ),
    inference(cnf_transformation,[],[f82]) ).

tcf(c_64,plain,
    ! [X0: $i,X1: $i] :
      ( relation(relation_composition(X0,X1))
      | ~ relation(X1)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_70,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( in(ordered_pair(sK10(X2,X3,X0,X1),X1),X3)
      | ~ relation(X3)
      | ~ relation(X2)
      | ~ relation(relation_composition(X2,X3))
      | ~ in(ordered_pair(X0,X1),relation_composition(X2,X3)) ),
    inference(cnf_transformation,[],[f113]) ).

tcf(c_116,plain,
    ! [X0: $i,X1: $i] :
      ( ~ in(sK5(X0,X1),X1)
      | subset(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_59]) ).

tcf(c_117,plain,
    ! [X0: $i,X1: $i] :
      ( subset(X0,X1)
      | ~ in(sK5(X0,X1),X1) ),
    inference(renaming,[status(thm)],[c_116]) ).

tcf(c_118,plain,
    ! [X0: $i,X1: $i] :
      ( in(sK5(X0,X1),X0)
      | subset(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_60]) ).

tcf(c_119,plain,
    ! [X0: $i,X1: $i] :
      ( subset(X0,X1)
      | in(sK5(X0,X1),X0) ),
    inference(renaming,[status(thm)],[c_118]) ).

tcf(c_286,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( in(ordered_pair(sK10(X2,X3,X0,X1),X1),X3)
      | ~ relation(X3)
      | ~ relation(X2)
      | ~ in(ordered_pair(X0,X1),relation_composition(X2,X3)) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_70,c_64]) ).

tcf(c_816,plain,
    ! [X0: $i,X1: $i] :
      ( in(sK5(X0,X1),X0)
      | ( relation_rng(sK1) != X1 )
      | ( relation_rng(relation_composition(sK0,sK1)) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_49,c_119]) ).

tcf(c_817,plain,
    in(sK5(relation_rng(relation_composition(sK0,sK1)),relation_rng(sK1)),relation_rng(relation_composition(sK0,sK1))),
    inference(unflattening,[status(thm)],[c_816]) ).

tcf(c_821,plain,
    ! [X0: $i,X1: $i] :
      ( ~ in(sK5(X0,X1),X1)
      | ( relation_rng(sK1) != X1 )
      | ( relation_rng(relation_composition(sK0,sK1)) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_49,c_117]) ).

tcf(c_822,plain,
    ~ in(sK5(relation_rng(relation_composition(sK0,sK1)),relation_rng(sK1)),relation_rng(sK1)),
    inference(unflattening,[status(thm)],[c_821]) ).

tcf(c_2299,plain,
    ( in(ordered_pair(sK4(relation_composition(sK0,sK1),sK5(relation_rng(relation_composition(sK0,sK1)),relation_rng(sK1))),sK5(relation_rng(relation_composition(sK0,sK1)),relation_rng(sK1))),relation_composition(sK0,sK1))
    | ~ relation(relation_composition(sK0,sK1))
    | ~ in(sK5(relation_rng(relation_composition(sK0,sK1)),relation_rng(sK1)),relation_rng(relation_composition(sK0,sK1))) ),
    inference(instantiation,[status(thm)],[c_55]) ).

tcf(c_3619,plain,
    ( relation(relation_composition(sK0,sK1))
    | ~ relation(sK1)
    | ~ relation(sK0) ),
    inference(instantiation,[status(thm)],[c_64]) ).

tcf(c_6222,plain,
    ( in(ordered_pair(sK10(sK0,sK1,sK4(relation_composition(sK0,sK1),sK5(relation_rng(relation_composition(sK0,sK1)),relation_rng(sK1))),sK5(relation_rng(relation_composition(sK0,sK1)),relation_rng(sK1))),sK5(relation_rng(relation_composition(sK0,sK1)),relation_rng(sK1))),sK1)
    | ~ relation(sK1)
    | ~ relation(sK0)
    | ~ in(ordered_pair(sK4(relation_composition(sK0,sK1),sK5(relation_rng(relation_composition(sK0,sK1)),relation_rng(sK1))),sK5(relation_rng(relation_composition(sK0,sK1)),relation_rng(sK1))),relation_composition(sK0,sK1)) ),
    inference(instantiation,[status(thm)],[c_286]) ).

tcf(c_12192,plain,
    ( in(sK5(relation_rng(relation_composition(sK0,sK1)),relation_rng(sK1)),relation_rng(sK1))
    | ~ relation(sK1)
    | ~ in(ordered_pair(sK10(sK0,sK1,sK4(relation_composition(sK0,sK1),sK5(relation_rng(relation_composition(sK0,sK1)),relation_rng(sK1))),sK5(relation_rng(relation_composition(sK0,sK1)),relation_rng(sK1))),sK5(relation_rng(relation_composition(sK0,sK1)),relation_rng(sK1))),sK1) ),
    inference(instantiation,[status(thm)],[c_54]) ).

tcf(c_12193,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_12192,c_6222,c_3619,c_2299,c_822,c_817,c_50,c_51]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SEU183+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.58  % Computer : n015.cluster.edu
% 0.09/0.58  % Model    : x86_64 x86_64
% 0.09/0.58  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.58  % Memory   : 8046.5625MB
% 0.09/0.58  % OS       : Linux 6.8.0-71-generic
% 0.09/0.58  % CPULimit : 300
% 0.09/0.58  % WCLimit  : 300
% 0.09/0.58  % DateTime : Thu Sep 24 13:07:58 UTC 2026
% 0.09/0.59  % CPUTime  : 
% 0.09/0.59  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.62  Running first-order theorem proving
% 0.09/0.62  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
% 0.14/0.63  
% 0.14/0.63  % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.63  
% 0.14/0.63  % Detected problem language: tptp
% 0.14/0.64  % Proving...
% 7.15/1.85  % SZS status Started for theBenchmark.p
% 7.15/1.85  % SZS status Theorem for theBenchmark.p
% 7.15/1.85  
% 7.15/1.85  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 7.15/1.85  
% 7.15/1.85  % ------  iProver source info
% 7.15/1.85  
% 7.15/1.85  % git: date: 2026-07-19 20:42:38 +0200
% 7.15/1.85  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 7.15/1.85  % git: non_committed_changes: false
% 7.15/1.85  
% 7.15/1.85  % ------ Parsing...
% 7.15/1.85  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 7.15/1.85  
% 7.15/1.85  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e % 
% 7.15/1.85  
% 7.15/1.85  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 7.15/1.85  
% 7.15/1.85  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.15/1.85  % ------ Proving...
% 7.15/1.85  % ------ Problem Properties 
% 7.15/1.85  
% 7.15/1.85  % 
% 7.15/1.85  % clauses                               38
% 7.15/1.85  % conjectures                           3
% 7.15/1.85  % EPR                                   15
% 7.15/1.85  % Horn                                  32
% 7.15/1.85  % unary                                 13
% 7.15/1.85  % binary                                9
% 7.15/1.85  % lits                                  95
% 7.15/1.85  % lits eq                               6
% 7.15/1.85  % fd_pure                               0
% 7.15/1.85  % fd_pseudo                             0
% 7.15/1.85  % fd_cond                               0
% 7.15/1.85  % fd_pseudo_cond                        6
% 7.15/1.85  % AC symbols                            0
% 7.15/1.85  
% 7.15/1.85  % ------ Schedule dynamic 5 is on 
% 7.15/1.85  
% 7.15/1.85  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.15/1.85  
% 7.15/1.85  
% 7.15/1.85  % ------ 
% 7.15/1.85  % Current options:
% 7.15/1.85  % ------ 
% 7.15/1.85  
% 7.15/1.85  
% 7.15/1.85  % 
% 7.15/1.85  
% 7.15/1.85  % ------ Proving...
% 7.15/1.85  % 
% 7.15/1.85  
% 7.15/1.85  % SZS status Theorem for theBenchmark.p
% 7.15/1.85  
% 7.15/1.85  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.15/1.85  
% 7.15/1.85  
%------------------------------------------------------------------------------