↑ Up

iProver---3.9.4.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SEU178+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n017.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 02:55:46 PM UTC 2026

% Result   : Theorem 3.77s 1.18s
% Output   : CNFRefutation 3.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   60 (   7 unt;   0 def)
%            Number of atoms       :  232 (  33 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  285 ( 113   ~; 116   |;  38   &)
%                                         (  13 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Maximal term depth    :    6 (   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    :   15 (  15 usr;   1 con; 0-2 aty)
%            Number of variables   :  168 (   0 sgn 141   !;  27   ?;  28   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X0] :
      ( relation(X0)
    <=> ! [X1] :
          ~ ( ! [X2,X3] : X1 != ordered_pair(X2,X3)
            & in(X1,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_relat_1) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).

fof(f5,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( X1 = relation_dom(X0)
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_relat_1) ).

fof(f6,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( X1 = relation_rng(X0)
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_relat_1) ).

fof(f30,axiom,
    ! [X0,X1,X2,X3] :
      ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
    <=> ( in(X1,X3)
        & in(X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t106_zfmisc_1) ).

fof(f32,conjecture,
    ! [X0] :
      ( relation(X0)
     => subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_relat_1) ).

fof(f33,negated_conjecture,
    ~ ! [X0] :
        ( relation(X0)
       => subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0))) ),
    inference(negated_conjecture,[status(cth)],[f32]) ).

fof(f42,plain,
    ? [X0] :
      ( relation(X0)
      & ~ subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0))) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f43,plain,
    ! [X0] :
      ( relation(X0)
    <=> ! [X1] :
          ( ? [X2,X3] : ordered_pair(X2,X3) = X1
          | ~ in(X1,X0) ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f44,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( X1 = relation_dom(X0)
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( ~ in(X2,X0)
          | in(X2,X1) ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f46,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( X1 = relation_rng(X0)
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f59,plain,
    ( relation(sK0)
    & ~ subset(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f42]) ).

fof(f61,plain,
    ! [X0] :
      ( ( ~ relation(X0)
        | ! [X1] :
            ( ? [X2,X3] : ordered_pair(X2,X3) = X1
            | ~ in(X1,X0) ) )
      & ( ? [X1] :
            ( ! [X2,X3] : ordered_pair(X2,X3) != X1
            & in(X1,X0) )
        | relation(X0) ) ),
    inference(nnf_transformation,[],[f43]) ).

fof(f62,plain,
    ! [X0] :
      ( ( ~ relation(X0)
        | ! [X4] :
            ( ? [X5,X6] : ordered_pair(X5,X6) = X4
            | ~ in(X4,X0) ) )
      & ( ? [X1] :
            ( ! [X2,X3] : ordered_pair(X2,X3) != X1
            & in(X1,X0) )
        | relation(X0) ) ),
    inference(rectify,[],[f61]) ).

fof(f63,plain,
    ! [X0] :
      ( ( ~ relation(X0)
        | ! [X4] :
            ( ordered_pair(sK3(X4),sK4(X4)) = X4
            | ~ in(X4,X0) ) )
      & ( ( ! [X2,X3] : ordered_pair(X2,X3) != sK2(X0)
          & in(sK2(X0),X0) )
        | relation(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X1,sK2(X0)),skolemize(X5,sK3(X4)),skolemize(X6,sK4(X4))],[f62]) ).

fof(f64,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ( relation_dom(X0) != X1
            | ! [X2] :
                ( ( ~ in(X2,X1)
                  | ? [X3] : in(ordered_pair(X2,X3),X0) )
                & ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
                  | in(X2,X1) ) ) )
          & ( ? [X2] :
                ( ( in(X2,X1)
                  | ? [X3] : in(ordered_pair(X2,X3),X0) )
                & ( ~ in(X2,X1)
                  | ! [X3] : ~ in(ordered_pair(X2,X3),X0) ) )
            | X1 = relation_dom(X0) ) ) ),
    inference(nnf_transformation,[],[f44]) ).

fof(f65,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ( relation_dom(X0) != X1
            | ! [X5] :
                ( ( ~ in(X5,X1)
                  | ? [X7] : in(ordered_pair(X5,X7),X0) )
                & ( ! [X6] : ~ in(ordered_pair(X5,X6),X0)
                  | in(X5,X1) ) ) )
          & ( ? [X2] :
                ( ( in(X2,X1)
                  | ? [X4] : in(ordered_pair(X2,X4),X0) )
                & ( ~ in(X2,X1)
                  | ! [X3] : ~ in(ordered_pair(X2,X3),X0) ) )
            | X1 = relation_dom(X0) ) ) ),
    inference(rectify,[],[f64]) ).

fof(f66,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ( relation_dom(X0) != X1
            | ! [X5] :
                ( ( ~ in(X5,X1)
                  | in(ordered_pair(X5,sK7(X0,X5)),X0) )
                & ( ! [X6] : ~ in(ordered_pair(X5,X6),X0)
                  | in(X5,X1) ) ) )
          & ( ( ( in(sK5(X0,X1),X1)
                | in(ordered_pair(sK5(X0,X1),sK6(X0,X1)),X0) )
              & ( ~ in(sK5(X0,X1),X1)
                | ! [X3] : ~ in(ordered_pair(sK5(X0,X1),X3),X0) ) )
            | X1 = relation_dom(X0) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7]),skolemize(X2,sK5(X0,X1)),skolemize(X4,sK6(X0,X1)),skolemize(X7,sK7(X0,X5))],[f65]) ).

fof(f68,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,[],[f45]) ).

fof(f69,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,[],[f68]) ).

fof(f70,plain,
    ! [X0,X1] :
      ( ( ~ subset(X0,X1)
        | ! [X3] :
            ( ~ in(X3,X0)
            | in(X3,X1) ) )
      & ( ( in(sK8(X0,X1),X0)
          & ~ in(sK8(X0,X1),X1) )
        | subset(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X2,sK8(X0,X1))],[f69]) ).

fof(f71,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,[],[f46]) ).

fof(f72,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,[],[f71]) ).

fof(f73,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ( relation_rng(X0) != X1
            | ! [X5] :
                ( ( ~ in(X5,X1)
                  | in(ordered_pair(sK11(X0,X5),X5),X0) )
                & ( ! [X6] : ~ in(ordered_pair(X6,X5),X0)
                  | in(X5,X1) ) ) )
          & ( ( ( in(sK9(X0,X1),X1)
                | in(ordered_pair(sK10(X0,X1),sK9(X0,X1)),X0) )
              & ( ~ in(sK9(X0,X1),X1)
                | ! [X3] : ~ in(ordered_pair(X3,sK9(X0,X1)),X0) ) )
            | X1 = relation_rng(X0) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10,sK11]),skolemize(X2,sK9(X0,X1)),skolemize(X4,sK10(X0,X1)),skolemize(X7,sK11(X0,X5))],[f72]) ).

fof(f74,plain,
    ! [X0,X1,X2,X3] :
      ( ( ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
        | ( in(X1,X3)
          & in(X0,X2) ) )
      & ( ~ in(X1,X3)
        | ~ in(X0,X2)
        | in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ) ),
    inference(nnf_transformation,[],[f30]) ).

fof(f75,plain,
    ! [X0,X1,X2,X3] :
      ( ( ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
        | ( in(X1,X3)
          & in(X0,X2) ) )
      & ( ~ in(X1,X3)
        | ~ in(X0,X2)
        | in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ) ),
    inference(flattening,[],[f74]) ).

fof(f81,plain,
    relation(sK0),
    inference(cnf_transformation,[],[f59]) ).

fof(f82,plain,
    ~ subset(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0))),
    inference(cnf_transformation,[],[f59]) ).

fof(f85,plain,
    ! [X0,X4] :
      ( ~ relation(X0)
      | ordered_pair(sK3(X4),sK4(X4)) = X4
      | ~ in(X4,X0) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f89,plain,
    ! [X0,X1,X6,X5] :
      ( ~ relation(X0)
      | relation_dom(X0) != X1
      | ~ in(ordered_pair(X5,X6),X0)
      | in(X5,X1) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f96,plain,
    ! [X0,X1] :
      ( in(sK8(X0,X1),X0)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( ~ in(sK8(X0,X1),X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f99,plain,
    ! [X0,X1,X6,X5] :
      ( ~ relation(X0)
      | relation_rng(X0) != X1
      | ~ in(ordered_pair(X6,X5),X0)
      | in(X5,X1) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f104,plain,
    ! [X2,X3,X0,X1] :
      ( ~ in(X1,X3)
      | ~ in(X0,X2)
      | in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f122,plain,
    ! [X0,X6,X5] :
      ( ~ relation(X0)
      | ~ in(ordered_pair(X5,X6),X0)
      | in(X5,relation_dom(X0)) ),
    inference(equality_resolution,[],[f89]) ).

fof(f124,plain,
    ! [X0,X6,X5] :
      ( ~ relation(X0)
      | ~ in(ordered_pair(X6,X5),X0)
      | in(X5,relation_rng(X0)) ),
    inference(equality_resolution,[],[f99]) ).

tcf(c_49,negated_conjecture,
    ~ subset(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0))),
    inference(cnf_transformation,[],[f82]) ).

tcf(c_50,negated_conjecture,
    relation(sK0),
    inference(cnf_transformation,[],[f81]) ).

tcf(c_55,plain,
    ! [X0: $i,X1: $i] :
      ( ( ordered_pair(sK3(X0),sK4(X0)) = X0 )
      | ~ relation(X1)
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f85]) ).

tcf(c_58,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( in(X0,relation_dom(X2))
      | ~ relation(X2)
      | ~ in(ordered_pair(X0,X1),X2) ),
    inference(cnf_transformation,[],[f122]) ).

tcf(c_63,plain,
    ! [X0: $i,X1: $i] :
      ( subset(X0,X1)
      | ~ in(sK8(X0,X1),X1) ),
    inference(cnf_transformation,[],[f97]) ).

tcf(c_64,plain,
    ! [X0: $i,X1: $i] :
      ( subset(X0,X1)
      | in(sK8(X0,X1),X0) ),
    inference(cnf_transformation,[],[f96]) ).

tcf(c_68,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( in(X1,relation_rng(X2))
      | ~ relation(X2)
      | ~ in(ordered_pair(X0,X1),X2) ),
    inference(cnf_transformation,[],[f124]) ).

tcf(c_70,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( in(ordered_pair(X0,X2),cartesian_product2(X1,X3))
      | ~ in(X2,X3)
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f104]) ).

tcf(c_132,plain,
    ! [X0: $i,X1: $i] :
      ( in(sK8(X0,X1),X0)
      | subset(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_64]) ).

tcf(c_133,plain,
    ! [X0: $i,X1: $i] :
      ( subset(X0,X1)
      | in(sK8(X0,X1),X0) ),
    inference(renaming,[status(thm)],[c_132]) ).

tcf(c_812,plain,
    ! [X0: $i,X1: $i] :
      ( in(sK8(X1,X0),X1)
      | ( X1 != sK0 )
      | ( cartesian_product2(relation_dom(sK0),relation_rng(sK0)) != X0 ) ),
    inference(resolution_lifted,[status(thm)],[c_49,c_133]) ).

tcf(c_813,plain,
    in(sK8(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0))),sK0),
    inference(unflattening,[status(thm)],[c_812]) ).

tcf(c_2496,plain,
    ! [X0: $i,X1: $i] :
      ( subset(X0,X1)
      | ( ordered_pair(sK3(sK8(X0,X1)),sK4(sK8(X0,X1))) = sK8(X0,X1) )
      | ~ relation(X0) ),
    inference(superposition,[status(thm)],[c_64,c_55]) ).

tcf(c_3715,plain,
    ( ( ordered_pair(sK3(sK8(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0)))),sK4(sK8(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0))))) = sK8(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0))) )
    | ~ relation(sK0) ),
    inference(superposition,[status(thm)],[c_2496,c_49]) ).

tcf(c_3734,plain,
    ordered_pair(sK3(sK8(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0)))),sK4(sK8(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0))))) = sK8(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0))),
    inference(forward_subsumption_resolution,[status(thm)],[c_3715,c_50]) ).

tcf(c_3945,plain,
    ! [X0: $i] :
      ( in(sK4(sK8(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0)))),relation_rng(X0))
      | ~ relation(X0)
      | ~ in(sK8(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0))),X0) ),
    inference(superposition,[status(thm)],[c_3734,c_68]) ).

tcf(c_3946,plain,
    ! [X0: $i] :
      ( in(sK3(sK8(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0)))),relation_dom(X0))
      | ~ relation(X0)
      | ~ in(sK8(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0))),X0) ),
    inference(superposition,[status(thm)],[c_3734,c_58]) ).

tcf(c_3951,plain,
    ! [X0: $i,X1: $i] :
      ( in(sK8(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0))),cartesian_product2(X0,X1))
      | ~ in(sK4(sK8(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0)))),X1)
      | ~ in(sK3(sK8(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0)))),X0) ),
    inference(superposition,[status(thm)],[c_3734,c_70]) ).

tcf(c_3969,plain,
    ( in(sK3(sK8(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0)))),relation_dom(sK0))
    | ~ relation(sK0)
    | ~ in(sK8(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0))),sK0) ),
    inference(instantiation,[status(thm)],[c_3946]) ).

tcf(c_3970,plain,
    ( in(sK4(sK8(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0)))),relation_rng(sK0))
    | ~ relation(sK0)
    | ~ in(sK8(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0))),sK0) ),
    inference(instantiation,[status(thm)],[c_3945]) ).

tcf(c_4099,plain,
    ( subset(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0)))
    | ~ in(sK4(sK8(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0)))),relation_rng(sK0))
    | ~ in(sK3(sK8(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0)))),relation_dom(sK0)) ),
    inference(superposition,[status(thm)],[c_3951,c_63]) ).

tcf(c_4105,plain,
    ( ~ in(sK4(sK8(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0)))),relation_rng(sK0))
    | ~ in(sK3(sK8(sK0,cartesian_product2(relation_dom(sK0),relation_rng(sK0)))),relation_dom(sK0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4099,c_49]) ).

tcf(c_4114,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_4105,c_3970,c_3969,c_813,c_50]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU178+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36  % Computer : n017.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Thu Sep 24 12:59:17 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.40  Running first-order theorem proving
% 0.09/0.40  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.41  
% 0.09/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41  
% 0.09/0.41  % Detected problem language: tptp
% 0.09/0.42  % Proving...
% 3.77/1.18  % SZS status Started for theBenchmark.p
% 3.77/1.18  % SZS status Theorem for theBenchmark.p
% 3.77/1.18  
% 3.77/1.18  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.77/1.18  
% 3.77/1.18  % ------  iProver source info
% 3.77/1.18  
% 3.77/1.18  % git: date: 2026-07-19 20:42:38 +0200
% 3.77/1.18  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.77/1.18  % git: non_committed_changes: false
% 3.77/1.18  
% 3.77/1.18  % ------ Parsing...
% 3.77/1.18  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 3.77/1.18  
% 3.77/1.18  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e % 
% 3.77/1.18  
% 3.77/1.18  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 3.77/1.18  
% 3.77/1.18  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.77/1.18  % ------ Proving...
% 3.77/1.18  % ------ Problem Properties 
% 3.77/1.18  
% 3.77/1.18  % 
% 3.77/1.18  % clauses                               41
% 3.77/1.18  % conjectures                           2
% 3.77/1.18  % EPR                                   14
% 3.77/1.18  % Horn                                  34
% 3.77/1.18  % unary                                 12
% 3.77/1.18  % binary                                13
% 3.77/1.18  % lits                                  90
% 3.77/1.18  % lits eq                               7
% 3.77/1.18  % fd_pure                               0
% 3.77/1.18  % fd_pseudo                             0
% 3.77/1.18  % fd_cond                               0
% 3.77/1.18  % fd_pseudo_cond                        5
% 3.77/1.18  % AC symbols                            0
% 3.77/1.18  
% 3.77/1.18  % ------ Schedule dynamic 5 is on 
% 3.77/1.18  
% 3.77/1.18  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.77/1.18  
% 3.77/1.18  
% 3.77/1.18  % ------ 
% 3.77/1.18  % Current options:
% 3.77/1.18  % ------ 
% 3.77/1.18  
% 3.77/1.18  
% 3.77/1.18  % 
% 3.77/1.18  
% 3.77/1.18  % ------ Proving...
% 3.77/1.18  % 
% 3.77/1.18  
% 3.77/1.18  % SZS status Theorem for theBenchmark.p
% 3.77/1.18  
% 3.77/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.77/1.19  
%------------------------------------------------------------------------------