↑ Up

iProver---3.9.4.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SEU262+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 : n005.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 02:56:24 PM UTC 2026

% Result   : Theorem 3.05s 1.19s
% Output   : CNFRefutation 3.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   72 (   9 unt;   0 def)
%            Number of atoms       :  240 (  21 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  279 ( 111   ~; 115   |;  34   &)
%                                         (  12 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;   3 con; 0-2 aty)
%            Number of variables   :  189 (   0 sgn 168   !;  21   ?;  44   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X0,X1,X2] :
      ( element(X2,powerset(cartesian_product2(X0,X1)))
     => relation(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).

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

fof(f18,axiom,
    ! [X0,X1,X2] :
      ( relation_of2_as_subset(X2,X0,X1)
     => element(X2,powerset(cartesian_product2(X0,X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).

fof(f28,axiom,
    ! [X0,X1,X2,X3] :
      ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
    <=> ( in(X1,X3)
        & in(X0,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t106_zfmisc_1) ).

fof(f29,conjecture,
    ! [X0,X1,X2] :
      ( relation_of2_as_subset(X2,X0,X1)
     => ( subset(relation_rng(X2),X1)
        & subset(relation_dom(X2),X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_relset_1) ).

fof(f30,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( relation_of2_as_subset(X2,X0,X1)
       => ( subset(relation_rng(X2),X1)
          & subset(relation_dom(X2),X0) ) ),
    inference(negated_conjecture,[status(cth)],[f29]) ).

fof(f33,axiom,
    ! [X0,X1] :
      ( element(X0,powerset(X1))
    <=> subset(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).

fof(f40,plain,
    ? [X0,X1,X2] :
      ( relation_of2_as_subset(X2,X0,X1)
      & ( ~ subset(relation_rng(X2),X1)
        | ~ subset(relation_dom(X2),X0) ) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f41,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(f42,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( ~ in(X2,X0)
          | in(X2,X1) ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f43,plain,
    ! [X0,X1,X2] :
      ( ~ relation_of2_as_subset(X2,X0,X1)
      | element(X2,powerset(cartesian_product2(X0,X1))) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f44,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(f51,plain,
    ! [X0,X1,X2] :
      ( ~ element(X2,powerset(cartesian_product2(X0,X1)))
      | relation(X2) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f55,plain,
    ( relation_of2_as_subset(sK2,sK0,sK1)
    & ( ~ subset(relation_rng(sK2),sK1)
      | ~ subset(relation_dom(sK2),sK0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f40]) ).

fof(f56,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,[],[f41]) ).

fof(f57,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,[],[f56]) ).

fof(f58,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ( relation_dom(X0) != X1
            | ! [X5] :
                ( ( ~ in(X5,X1)
                  | in(ordered_pair(X5,sK5(X0,X5)),X0) )
                & ( ! [X6] : ~ in(ordered_pair(X5,X6),X0)
                  | in(X5,X1) ) ) )
          & ( ( ( in(sK3(X0,X1),X1)
                | in(ordered_pair(sK3(X0,X1),sK4(X0,X1)),X0) )
              & ( ~ in(sK3(X0,X1),X1)
                | ! [X3] : ~ in(ordered_pair(sK3(X0,X1),X3),X0) ) )
            | X1 = relation_dom(X0) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5]),skolemize(X2,sK3(X0,X1)),skolemize(X4,sK4(X0,X1)),skolemize(X7,sK5(X0,X5))],[f57]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( ( ~ element(X0,powerset(X1))
        | subset(X0,X1) )
      & ( ~ subset(X0,X1)
        | element(X0,powerset(X1)) ) ),
    inference(nnf_transformation,[],[f33]) ).

fof(f60,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,[],[f42]) ).

fof(f61,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,[],[f60]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( ( ~ subset(X0,X1)
        | ! [X3] :
            ( ~ in(X3,X0)
            | in(X3,X1) ) )
      & ( ( in(sK6(X0,X1),X0)
          & ~ in(sK6(X0,X1),X1) )
        | subset(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X2,sK6(X0,X1))],[f61]) ).

fof(f64,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,[],[f44]) ).

fof(f65,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,[],[f64]) ).

fof(f66,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ( relation_rng(X0) != X1
            | ! [X5] :
                ( ( ~ in(X5,X1)
                  | in(ordered_pair(sK10(X0,X5),X5),X0) )
                & ( ! [X6] : ~ in(ordered_pair(X6,X5),X0)
                  | in(X5,X1) ) ) )
          & ( ( ( in(sK8(X0,X1),X1)
                | in(ordered_pair(sK9(X0,X1),sK8(X0,X1)),X0) )
              & ( ~ in(sK8(X0,X1),X1)
                | ! [X3] : ~ in(ordered_pair(X3,sK8(X0,X1)),X0) ) )
            | X1 = relation_rng(X0) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10]),skolemize(X2,sK8(X0,X1)),skolemize(X4,sK9(X0,X1)),skolemize(X7,sK10(X0,X5))],[f65]) ).

fof(f68,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,[],[f28]) ).

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

fof(f72,plain,
    relation_of2_as_subset(sK2,sK0,sK1),
    inference(cnf_transformation,[],[f55]) ).

fof(f73,plain,
    ( ~ subset(relation_rng(sK2),sK1)
    | ~ subset(relation_dom(sK2),sK0) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f74,plain,
    ! [X0,X1,X5] :
      ( ~ relation(X0)
      | relation_dom(X0) != X1
      | ~ in(X5,X1)
      | in(ordered_pair(X5,sK5(X0,X5)),X0) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( ~ element(X0,powerset(X1))
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f81,plain,
    ! [X3,X0,X1] :
      ( ~ subset(X0,X1)
      | ~ in(X3,X0)
      | in(X3,X1) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( in(sK6(X0,X1),X0)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( ~ in(sK6(X0,X1),X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f85,plain,
    ! [X2,X0,X1] :
      ( ~ relation_of2_as_subset(X2,X0,X1)
      | element(X2,powerset(cartesian_product2(X0,X1))) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f86,plain,
    ! [X0,X1,X5] :
      ( ~ relation(X0)
      | relation_rng(X0) != X1
      | ~ in(X5,X1)
      | in(ordered_pair(sK10(X0,X5),X5),X0) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f95,plain,
    ! [X2,X0,X1] :
      ( ~ element(X2,powerset(cartesian_product2(X0,X1)))
      | relation(X2) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f100,plain,
    ! [X2,X3,X0,X1] :
      ( ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
      | in(X1,X3) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f101,plain,
    ! [X2,X3,X0,X1] :
      ( ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
      | in(X0,X2) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f106,plain,
    ! [X0,X5] :
      ( ~ relation(X0)
      | ~ in(X5,relation_dom(X0))
      | in(ordered_pair(X5,sK5(X0,X5)),X0) ),
    inference(equality_resolution,[],[f74]) ).

fof(f108,plain,
    ! [X0,X5] :
      ( ~ relation(X0)
      | ~ in(X5,relation_rng(X0))
      | in(ordered_pair(sK10(X0,X5),X5),X0) ),
    inference(equality_resolution,[],[f86]) ).

tcf(c_49,negated_conjecture,
    ( ~ subset(relation_rng(sK2),sK1)
    | ~ subset(relation_dom(sK2),sK0) ),
    inference(cnf_transformation,[],[f73]) ).

tcf(c_50,negated_conjecture,
    relation_of2_as_subset(sK2,sK0,sK1),
    inference(cnf_transformation,[],[f72]) ).

tcf(c_54,plain,
    ! [X0: $i,X1: $i] :
      ( in(ordered_pair(X0,sK5(X1,X0)),X1)
      | ~ relation(X1)
      | ~ in(X0,relation_dom(X1)) ),
    inference(cnf_transformation,[],[f106]) ).

tcf(c_56,plain,
    ! [X0: $i,X1: $i] :
      ( subset(X0,X1)
      | ~ element(X0,powerset(X1)) ),
    inference(cnf_transformation,[],[f78]) ).

tcf(c_58,plain,
    ! [X0: $i,X1: $i] :
      ( subset(X0,X1)
      | ~ in(sK6(X0,X1),X1) ),
    inference(cnf_transformation,[],[f83]) ).

tcf(c_59,plain,
    ! [X0: $i,X1: $i] :
      ( subset(X0,X1)
      | in(sK6(X0,X1),X0) ),
    inference(cnf_transformation,[],[f82]) ).

tcf(c_60,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( in(X2,X1)
      | ~ in(X2,X0)
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f81]) ).

tcf(c_62,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( element(X0,powerset(cartesian_product2(X1,X2)))
      | ~ relation_of2_as_subset(X0,X1,X2) ),
    inference(cnf_transformation,[],[f85]) ).

tcf(c_66,plain,
    ! [X0: $i,X1: $i] :
      ( in(ordered_pair(sK10(X1,X0),X0),X1)
      | ~ relation(X1)
      | ~ in(X0,relation_rng(X1)) ),
    inference(cnf_transformation,[],[f108]) ).

tcf(c_72,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( relation(X0)
      | ~ element(X0,powerset(cartesian_product2(X1,X2))) ),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_78,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( in(X0,X2)
      | ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ),
    inference(cnf_transformation,[],[f101]) ).

tcf(c_79,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( in(X1,X3)
      | ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ),
    inference(cnf_transformation,[],[f100]) ).

tcf(c_119,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( element(X0,powerset(cartesian_product2(X1,X2)))
      | ~ relation_of2_as_subset(X0,X1,X2) ),
    inference(prop_impl_just,[status(thm)],[c_62]) ).

tcf(c_512,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( element(X0,powerset(cartesian_product2(X1,X2)))
      | ( X2 != sK1 )
      | ( X1 != sK0 )
      | ( X0 != sK2 ) ),
    inference(resolution_lifted,[status(thm)],[c_50,c_119]) ).

tcf(c_513,plain,
    element(sK2,powerset(cartesian_product2(sK0,sK1))),
    inference(unflattening,[status(thm)],[c_512]) ).

tcf(c_2260,plain,
    subset(sK2,cartesian_product2(sK0,sK1)),
    inference(superposition,[status(thm)],[c_513,c_56]) ).

tcf(c_2354,plain,
    relation(sK2),
    inference(superposition,[status(thm)],[c_513,c_72]) ).

tcf(c_2382,plain,
    ! [X0: $i] :
      ( in(X0,cartesian_product2(sK0,sK1))
      | ~ in(X0,sK2) ),
    inference(superposition,[status(thm)],[c_2260,c_60]) ).

tcf(c_2419,plain,
    ! [X0: $i,X1: $i] :
      ( in(X0,sK0)
      | ~ in(ordered_pair(X0,X1),sK2) ),
    inference(superposition,[status(thm)],[c_2382,c_78]) ).

tcf(c_2477,plain,
    ! [X0: $i,X1: $i] :
      ( in(X1,sK1)
      | ~ in(ordered_pair(X0,X1),sK2) ),
    inference(superposition,[status(thm)],[c_2382,c_79]) ).

tcf(c_2517,plain,
    ! [X0: $i] :
      ( in(X0,sK0)
      | ~ relation(sK2)
      | ~ in(X0,relation_dom(sK2)) ),
    inference(superposition,[status(thm)],[c_54,c_2419]) ).

tcf(c_2518,plain,
    ! [X0: $i] :
      ( in(X0,sK0)
      | ~ in(X0,relation_dom(sK2)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2517,c_2354]) ).

tcf(c_2583,plain,
    ! [X0: $i] :
      ( subset(relation_dom(sK2),X0)
      | in(sK6(relation_dom(sK2),X0),sK0) ),
    inference(superposition,[status(thm)],[c_59,c_2518]) ).

tcf(c_2673,plain,
    subset(relation_dom(sK2),sK0),
    inference(superposition,[status(thm)],[c_2583,c_58]) ).

tcf(c_2683,plain,
    ~ subset(relation_rng(sK2),sK1),
    inference(backward_subsumption_resolution,[status(thm)],[c_49,c_2673]) ).

tcf(c_2702,plain,
    ! [X0: $i] :
      ( in(X0,sK1)
      | ~ relation(sK2)
      | ~ in(X0,relation_rng(sK2)) ),
    inference(superposition,[status(thm)],[c_66,c_2477]) ).

tcf(c_2706,plain,
    ! [X0: $i] :
      ( in(X0,sK1)
      | ~ in(X0,relation_rng(sK2)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2702,c_2354]) ).

tcf(c_2984,plain,
    ! [X0: $i] :
      ( subset(relation_rng(sK2),X0)
      | in(sK6(relation_rng(sK2),X0),sK1) ),
    inference(superposition,[status(thm)],[c_59,c_2706]) ).

tcf(c_3404,plain,
    subset(relation_rng(sK2),sK1),
    inference(superposition,[status(thm)],[c_2984,c_58]) ).

tcf(c_3408,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_3404,c_2683]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU262+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36  % Computer : n005.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 13:26:47 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.40  Running first-order theorem proving
% 0.14/0.40  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
% 0.14/0.41  
% 0.14/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41  
% 0.14/0.41  % Detected problem language: tptp
% 0.14/0.42  % Proving...
% 3.05/1.19  % SZS status Started for theBenchmark.p
% 3.05/1.19  % SZS status Theorem for theBenchmark.p
% 3.05/1.19  
% 3.05/1.19  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.05/1.19  
% 3.05/1.19  % ------  iProver source info
% 3.05/1.19  
% 3.05/1.19  % git: date: 2026-07-19 20:42:38 +0200
% 3.05/1.19  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.05/1.19  % git: non_committed_changes: false
% 3.05/1.19  
% 3.05/1.19  % ------ Parsing...
% 3.05/1.19  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 3.05/1.19  
% 3.05/1.19  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e % 
% 3.05/1.19  
% 3.05/1.19  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 3.05/1.19  
% 3.05/1.19  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.05/1.19  % ------ Proving...
% 3.05/1.19  % ------ Problem Properties 
% 3.05/1.19  
% 3.05/1.19  % 
% 3.05/1.19  % clauses                               32
% 3.05/1.19  % conjectures                           1
% 3.05/1.19  % EPR                                   11
% 3.05/1.19  % Horn                                  28
% 3.05/1.19  % unary                                 7
% 3.05/1.19  % binary                                11
% 3.05/1.19  % lits                                  75
% 3.05/1.19  % lits eq                               5
% 3.05/1.19  % fd_pure                               0
% 3.05/1.19  % fd_pseudo                             0
% 3.05/1.19  % fd_cond                               0
% 3.05/1.19  % fd_pseudo_cond                        5
% 3.05/1.19  % AC symbols                            0
% 3.05/1.19  
% 3.05/1.19  % ------ Schedule dynamic 5 is on 
% 3.05/1.19  
% 3.05/1.19  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.05/1.19  
% 3.05/1.19  
% 3.05/1.19  % ------ 
% 3.05/1.19  % Current options:
% 3.05/1.19  % ------ 
% 3.05/1.19  
% 3.05/1.19  
% 3.05/1.19  % 
% 3.05/1.19  
% 3.05/1.19  % ------ Proving...
% 3.05/1.19  % 
% 3.05/1.19  
% 3.05/1.19  % SZS status Theorem for theBenchmark.p
% 3.05/1.19  
% 3.05/1.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.05/1.19  
% 3.05/1.19  
%------------------------------------------------------------------------------