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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SET697+4 : TPTP v9.3.1. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n008.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 02:47:49 PM UTC 2026

% Result   : Theorem 36.84s 11.89s
% Output   : CNFRefutation 36.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   84 (   9 unt;   0 def)
%            Number of atoms       :  243 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  272 ( 113   ~; 111   |;  36   &)
%                                         (   7 <=>;   3  =>;   0  <=;   2 <~>)
%            Maximal formula depth :    8 (   5 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  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :  132 (   0 sgn 118   !;  14   ?;  45   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( member(X2,X0)
         => member(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',subset) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( equal_set(X0,X1)
    <=> ( subset(X1,X0)
        & subset(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',equal_set) ).

fof(f4,axiom,
    ! [X0,X1,X2] :
      ( member(X0,intersection(X1,X2))
    <=> ( member(X0,X2)
        & member(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',intersection) ).

fof(f6,axiom,
    ! [X0] : ~ member(X0,empty_set),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',empty_set) ).

fof(f7,axiom,
    ! [X0,X1,X2] :
      ( member(X0,difference(X2,X1))
    <=> ( ~ member(X0,X1)
        & member(X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',difference) ).

fof(f12,conjecture,
    ! [X0,X1,X2] :
      ( ( subset(X1,X2)
        & subset(X0,X2) )
     => ( subset(X0,X1)
      <=> equal_set(intersection(X0,difference(X2,X1)),empty_set) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI31) ).

fof(f13,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( ( subset(X1,X2)
          & subset(X0,X2) )
       => ( subset(X0,X1)
        <=> equal_set(intersection(X0,difference(X2,X1)),empty_set) ) ),
    inference(negated_conjecture,[status(cth)],[f12]) ).

fof(f14,plain,
    ? [X0,X1,X2] :
      ( subset(X1,X2)
      & subset(X0,X2)
      & ( subset(X0,X1)
      <~> equal_set(intersection(X0,difference(X2,X1)),empty_set) ) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f15,plain,
    ? [X0,X1,X2] :
      ( subset(X1,X2)
      & subset(X0,X2)
      & ( subset(X0,X1)
      <~> equal_set(intersection(X0,difference(X2,X1)),empty_set) ) ),
    inference(flattening,[],[f14]) ).

fof(f16,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( ~ member(X2,X0)
          | member(X2,X1) ) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f17,plain,
    ? [X0,X1,X2] :
      ( subset(X1,X2)
      & subset(X0,X2)
      & ( subset(X0,X1)
        | equal_set(intersection(X0,difference(X2,X1)),empty_set) )
      & ( ~ subset(X0,X1)
        | ~ equal_set(intersection(X0,difference(X2,X1)),empty_set) ) ),
    inference(nnf_transformation,[],[f15]) ).

fof(f18,plain,
    ? [X0,X1,X2] :
      ( subset(X1,X2)
      & subset(X0,X2)
      & ( subset(X0,X1)
        | equal_set(intersection(X0,difference(X2,X1)),empty_set) )
      & ( ~ subset(X0,X1)
        | ~ equal_set(intersection(X0,difference(X2,X1)),empty_set) ) ),
    inference(flattening,[],[f17]) ).

fof(f19,plain,
    ( subset(sK1,sK2)
    & subset(sK0,sK2)
    & ( subset(sK0,sK1)
      | equal_set(intersection(sK0,difference(sK2,sK1)),empty_set) )
    & ( ~ subset(sK0,sK1)
      | ~ equal_set(intersection(sK0,difference(sK2,sK1)),empty_set) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f18]) ).

fof(f20,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,[],[f16]) ).

fof(f21,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,[],[f20]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( ( ~ subset(X0,X1)
        | ! [X3] :
            ( ~ member(X3,X0)
            | member(X3,X1) ) )
      & ( ( member(sK3(X0,X1),X0)
          & ~ member(sK3(X0,X1),X1) )
        | subset(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0,X1))],[f21]) ).

fof(f23,plain,
    ! [X0,X1,X2] :
      ( ( ~ member(X0,intersection(X1,X2))
        | ( member(X0,X2)
          & member(X0,X1) ) )
      & ( ~ member(X0,X2)
        | ~ member(X0,X1)
        | member(X0,intersection(X1,X2)) ) ),
    inference(nnf_transformation,[],[f4]) ).

fof(f24,plain,
    ! [X0,X1,X2] :
      ( ( ~ member(X0,intersection(X1,X2))
        | ( member(X0,X2)
          & member(X0,X1) ) )
      & ( ~ member(X0,X2)
        | ~ member(X0,X1)
        | member(X0,intersection(X1,X2)) ) ),
    inference(flattening,[],[f23]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( ( ~ equal_set(X0,X1)
        | ( subset(X1,X0)
          & subset(X0,X1) ) )
      & ( ~ subset(X1,X0)
        | ~ subset(X0,X1)
        | equal_set(X0,X1) ) ),
    inference(nnf_transformation,[],[f2]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( ( ~ equal_set(X0,X1)
        | ( subset(X1,X0)
          & subset(X0,X1) ) )
      & ( ~ subset(X1,X0)
        | ~ subset(X0,X1)
        | equal_set(X0,X1) ) ),
    inference(flattening,[],[f25]) ).

fof(f27,plain,
    ! [X0,X1,X2] :
      ( ( ~ member(X0,difference(X2,X1))
        | ( ~ member(X0,X1)
          & member(X0,X2) ) )
      & ( member(X0,X1)
        | ~ member(X0,X2)
        | member(X0,difference(X2,X1)) ) ),
    inference(nnf_transformation,[],[f7]) ).

fof(f28,plain,
    ! [X0,X1,X2] :
      ( ( ~ member(X0,difference(X2,X1))
        | ( ~ member(X0,X1)
          & member(X0,X2) ) )
      & ( member(X0,X1)
        | ~ member(X0,X2)
        | member(X0,difference(X2,X1)) ) ),
    inference(flattening,[],[f27]) ).

fof(f30,plain,
    subset(sK0,sK2),
    inference(cnf_transformation,[],[f19]) ).

fof(f31,plain,
    ( subset(sK0,sK1)
    | equal_set(intersection(sK0,difference(sK2,sK1)),empty_set) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f32,plain,
    ( ~ subset(sK0,sK1)
    | ~ equal_set(intersection(sK0,difference(sK2,sK1)),empty_set) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f33,plain,
    ! [X3,X0,X1] :
      ( ~ subset(X0,X1)
      | ~ member(X3,X0)
      | member(X3,X1) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( member(sK3(X0,X1),X0)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( ~ member(sK3(X0,X1),X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f36,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,intersection(X1,X2))
      | member(X0,X2) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f37,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,intersection(X1,X2))
      | member(X0,X1) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f38,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,X2)
      | ~ member(X0,X1)
      | member(X0,intersection(X1,X2)) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( ~ equal_set(X0,X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( ~ subset(X1,X0)
      | ~ subset(X0,X1)
      | equal_set(X0,X1) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f42,plain,
    ! [X0] : ~ member(X0,empty_set),
    inference(cnf_transformation,[],[f6]) ).

fof(f43,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,difference(X2,X1))
      | ~ member(X0,X1) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f45,plain,
    ! [X2,X0,X1] :
      ( member(X0,X1)
      | ~ member(X0,X2)
      | member(X0,difference(X2,X1)) ),
    inference(cnf_transformation,[],[f28]) ).

tcf(c_49,negated_conjecture,
    ( ~ subset(sK0,sK1)
    | ~ equal_set(intersection(sK0,difference(sK2,sK1)),empty_set) ),
    inference(cnf_transformation,[],[f32]) ).

tcf(c_50,negated_conjecture,
    ( subset(sK0,sK1)
    | equal_set(intersection(sK0,difference(sK2,sK1)),empty_set) ),
    inference(cnf_transformation,[],[f31]) ).

tcf(c_51,negated_conjecture,
    subset(sK0,sK2),
    inference(cnf_transformation,[],[f30]) ).

tcf(c_53,plain,
    ! [X0: $i,X1: $i] :
      ( subset(X0,X1)
      | ~ member(sK3(X0,X1),X1) ),
    inference(cnf_transformation,[],[f35]) ).

tcf(c_54,plain,
    ! [X0: $i,X1: $i] :
      ( subset(X0,X1)
      | member(sK3(X0,X1),X0) ),
    inference(cnf_transformation,[],[f34]) ).

tcf(c_55,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( member(X2,X1)
      | ~ member(X2,X0)
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f33]) ).

tcf(c_56,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( member(X0,intersection(X1,X2))
      | ~ member(X0,X2)
      | ~ member(X0,X1) ),
    inference(cnf_transformation,[],[f38]) ).

tcf(c_57,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( member(X0,X1)
      | ~ member(X0,intersection(X1,X2)) ),
    inference(cnf_transformation,[],[f37]) ).

tcf(c_58,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( member(X0,X2)
      | ~ member(X0,intersection(X1,X2)) ),
    inference(cnf_transformation,[],[f36]) ).

tcf(c_59,plain,
    ! [X0: $i,X1: $i] :
      ( equal_set(X0,X1)
      | ~ subset(X1,X0)
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f41]) ).

tcf(c_60,plain,
    ! [X0: $i,X1: $i] :
      ( subset(X0,X1)
      | ~ equal_set(X0,X1) ),
    inference(cnf_transformation,[],[f40]) ).

tcf(c_62,plain,
    ! [X0: $i] : ~ member(X0,empty_set),
    inference(cnf_transformation,[],[f42]) ).

tcf(c_63,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( member(X0,X2)
      | member(X0,difference(X1,X2))
      | ~ member(X0,X1) ),
    inference(cnf_transformation,[],[f45]) ).

tcf(c_65,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ member(X0,X2)
      | ~ member(X0,difference(X1,X2)) ),
    inference(cnf_transformation,[],[f43]) ).

tcf(c_75,plain,
    ( ~ equal_set(intersection(sK0,difference(sK2,sK1)),empty_set)
    | ~ subset(sK0,sK1) ),
    inference(prop_impl_just,[status(thm)],[c_49]) ).

tcf(c_76,plain,
    ( ~ subset(sK0,sK1)
    | ~ equal_set(intersection(sK0,difference(sK2,sK1)),empty_set) ),
    inference(renaming,[status(thm)],[c_75]) ).

tcf(c_77,plain,
    ( equal_set(intersection(sK0,difference(sK2,sK1)),empty_set)
    | subset(sK0,sK1) ),
    inference(prop_impl_just,[status(thm)],[c_50]) ).

tcf(c_78,plain,
    ( subset(sK0,sK1)
    | equal_set(intersection(sK0,difference(sK2,sK1)),empty_set) ),
    inference(renaming,[status(thm)],[c_77]) ).

tcf(c_85,plain,
    ! [X0: $i,X1: $i] :
      ( ~ equal_set(X0,X1)
      | subset(X0,X1) ),
    inference(prop_impl_just,[status(thm)],[c_60]) ).

tcf(c_86,plain,
    ! [X0: $i,X1: $i] :
      ( subset(X0,X1)
      | ~ equal_set(X0,X1) ),
    inference(renaming,[status(thm)],[c_85]) ).

tcf(c_218,plain,
    ( subset(sK0,sK1)
    | subset(intersection(sK0,difference(sK2,sK1)),empty_set) ),
    inference(resolution,[status(thm)],[c_78,c_86]) ).

tcf(c_225,plain,
    ( ~ subset(sK0,sK1)
    | ~ subset(empty_set,intersection(sK0,difference(sK2,sK1)))
    | ~ subset(intersection(sK0,difference(sK2,sK1)),empty_set) ),
    inference(resolution,[status(thm)],[c_76,c_59]) ).

tcf(c_305,plain,
    ( subset(intersection(sK0,difference(sK2,sK1)),empty_set)
    | member(sK3(intersection(sK0,difference(sK2,sK1)),empty_set),intersection(sK0,difference(sK2,sK1))) ),
    inference(instantiation,[status(thm)],[c_54]) ).

tcf(c_306,plain,
    ( subset(empty_set,intersection(sK0,difference(sK2,sK1)))
    | member(sK3(empty_set,intersection(sK0,difference(sK2,sK1))),empty_set) ),
    inference(instantiation,[status(thm)],[c_54]) ).

tcf(c_316,plain,
    ~ member(sK3(empty_set,intersection(sK0,difference(sK2,sK1))),empty_set),
    inference(instantiation,[status(thm)],[c_62]) ).

tcf(c_317,plain,
    ( subset(sK0,sK1)
    | member(sK3(sK0,sK1),sK0) ),
    inference(instantiation,[status(thm)],[c_54]) ).

tcf(c_318,plain,
    ( subset(sK0,sK1)
    | ~ member(sK3(sK0,sK1),sK1) ),
    inference(instantiation,[status(thm)],[c_53]) ).

tcf(c_319,plain,
    ! [X0: $i] :
      ( member(sK3(sK0,sK1),X0)
      | ~ subset(sK0,X0)
      | ~ member(sK3(sK0,sK1),sK0) ),
    inference(instantiation,[status(thm)],[c_55]) ).

tcf(c_335,plain,
    ( member(sK3(intersection(sK0,difference(sK2,sK1)),empty_set),difference(sK2,sK1))
    | ~ member(sK3(intersection(sK0,difference(sK2,sK1)),empty_set),intersection(sK0,difference(sK2,sK1))) ),
    inference(instantiation,[status(thm)],[c_58]) ).

tcf(c_336,plain,
    ( member(sK3(intersection(sK0,difference(sK2,sK1)),empty_set),sK0)
    | ~ member(sK3(intersection(sK0,difference(sK2,sK1)),empty_set),intersection(sK0,difference(sK2,sK1))) ),
    inference(instantiation,[status(thm)],[c_57]) ).

tcf(c_339,plain,
    ! [X0: $i,X1: $i] :
      ( member(sK3(sK0,sK1),X1)
      | ~ subset(X0,X1)
      | ~ member(sK3(sK0,sK1),X0) ),
    inference(instantiation,[status(thm)],[c_55]) ).

tcf(c_340,plain,
    ! [X0: $i,X1: $i] :
      ( member(sK3(sK0,sK1),X1)
      | member(sK3(sK0,sK1),difference(X0,X1))
      | ~ member(sK3(sK0,sK1),X0) ),
    inference(instantiation,[status(thm)],[c_63]) ).

tcf(c_348,plain,
    ~ member(sK3(sK0,sK1),empty_set),
    inference(instantiation,[status(thm)],[c_62]) ).

tcf(c_399,plain,
    ! [X0: $i] :
      ( member(sK3(intersection(sK0,difference(sK2,sK1)),empty_set),X0)
      | ~ subset(sK0,X0)
      | ~ member(sK3(intersection(sK0,difference(sK2,sK1)),empty_set),sK0) ),
    inference(instantiation,[status(thm)],[c_55]) ).

tcf(c_416,plain,
    ! [X0: $i,X1: $i] :
      ( ~ member(sK3(intersection(sK0,difference(sK2,sK1)),empty_set),X1)
      | ~ member(sK3(intersection(sK0,difference(sK2,sK1)),empty_set),difference(X0,X1)) ),
    inference(instantiation,[status(thm)],[c_65]) ).

tcf(c_693,plain,
    ( ~ member(sK3(intersection(sK0,difference(sK2,sK1)),empty_set),sK1)
    | ~ member(sK3(intersection(sK0,difference(sK2,sK1)),empty_set),difference(sK2,sK1)) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_999,plain,
    ! [X0: $i] :
      ( member(sK3(sK0,sK1),X0)
      | member(sK3(sK0,sK1),difference(sK2,X0))
      | ~ member(sK3(sK0,sK1),sK2) ),
    inference(instantiation,[status(thm)],[c_340]) ).

tcf(c_1066,plain,
    ( member(sK3(intersection(sK0,difference(sK2,sK1)),empty_set),sK1)
    | ~ subset(sK0,sK1)
    | ~ member(sK3(intersection(sK0,difference(sK2,sK1)),empty_set),sK0) ),
    inference(instantiation,[status(thm)],[c_399]) ).

tcf(c_1404,plain,
    ~ subset(sK0,sK1),
    inference(global_subsumption_just,[status(thm)],[c_225,c_225,c_305,c_306,c_316,c_336,c_335,c_693,c_1066]) ).

tcf(c_2125,plain,
    ! [X0: $i] :
      ( member(sK3(sK0,sK1),empty_set)
      | ~ subset(X0,empty_set)
      | ~ member(sK3(sK0,sK1),X0) ),
    inference(instantiation,[status(thm)],[c_339]) ).

tcf(c_3092,plain,
    ( member(sK3(sK0,sK1),sK2)
    | ~ subset(sK0,sK2)
    | ~ member(sK3(sK0,sK1),sK0) ),
    inference(instantiation,[status(thm)],[c_319]) ).

tcf(c_3140,plain,
    ( member(sK3(sK0,sK1),sK1)
    | member(sK3(sK0,sK1),difference(sK2,sK1))
    | ~ member(sK3(sK0,sK1),sK2) ),
    inference(instantiation,[status(thm)],[c_999]) ).

tcf(c_3665,plain,
    ( member(sK3(sK0,sK1),empty_set)
    | ~ subset(intersection(sK0,difference(sK2,sK1)),empty_set)
    | ~ member(sK3(sK0,sK1),intersection(sK0,difference(sK2,sK1))) ),
    inference(instantiation,[status(thm)],[c_2125]) ).

tcf(c_123899,plain,
    ! [X0: $i] :
      ( member(sK3(sK0,sK1),intersection(sK0,X0))
      | ~ member(sK3(sK0,sK1),sK0)
      | ~ member(sK3(sK0,sK1),X0) ),
    inference(instantiation,[status(thm)],[c_56]) ).

tcf(c_124537,plain,
    ! [X0: $i,X1: $i] :
      ( member(sK3(sK0,sK1),intersection(sK0,difference(X0,X1)))
      | ~ member(sK3(sK0,sK1),sK0)
      | ~ member(sK3(sK0,sK1),difference(X0,X1)) ),
    inference(instantiation,[status(thm)],[c_123899]) ).

tcf(c_126053,plain,
    ! [X0: $i] :
      ( member(sK3(sK0,sK1),intersection(sK0,difference(X0,sK1)))
      | ~ member(sK3(sK0,sK1),sK0)
      | ~ member(sK3(sK0,sK1),difference(X0,sK1)) ),
    inference(instantiation,[status(thm)],[c_124537]) ).

tcf(c_131537,plain,
    ( member(sK3(sK0,sK1),intersection(sK0,difference(sK2,sK1)))
    | ~ member(sK3(sK0,sK1),sK0)
    | ~ member(sK3(sK0,sK1),difference(sK2,sK1)) ),
    inference(instantiation,[status(thm)],[c_126053]) ).

tcf(c_131538,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_131537,c_3665,c_3140,c_3092,c_1404,c_348,c_317,c_318,c_218,c_51]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SET697+4 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/5.40  % Computer : n008.cluster.edu
% 0.13/5.40  % Model    : x86_64 x86_64
% 0.13/5.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/5.40  % Memory   : 8046.5625MB
% 0.13/5.40  % OS       : Linux 6.8.0-71-generic
% 0.13/5.40  % CPULimit : 300
% 0.13/5.40  % WCLimit  : 300
% 0.13/5.40  % DateTime : Thu Sep 24 11:43:09 UTC 2026
% 0.13/5.41  % CPUTime  : 
% 0.13/5.41  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/5.45  Running first-order theorem proving
% 0.13/5.45  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
% 0.13/5.46  
% 0.13/5.46  % ======== iProver multi-core TPTP/SMT =========
% 0.13/5.46  
% 0.13/5.46  % Detected problem language: tptp
% 0.13/5.47  % Proving...
% 36.84/11.89  % SZS status Started for theBenchmark.p
% 36.84/11.89  % SZS status Theorem for theBenchmark.p
% 36.84/11.89  
% 36.84/11.89  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 36.84/11.89  
% 36.84/11.89  % ------  iProver source info
% 36.84/11.89  
% 36.84/11.89  % git: date: 2026-07-19 20:42:38 +0200
% 36.84/11.89  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 36.84/11.89  % git: non_committed_changes: false
% 36.84/11.89  
% 36.84/11.89  % ------ Parsing...
% 36.84/11.89  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 36.84/11.89  
% 36.84/11.89  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe:1:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 36.84/11.89  
% 36.84/11.89  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 36.84/11.89  % ------ Proving...
% 36.84/11.89  % ------ Problem Properties 
% 36.84/11.89  
% 36.84/11.89  % 
% 36.84/11.89  % clauses                               15
% 36.84/11.89  % conjectures                           2
% 36.84/11.89  % EPR                                   4
% 36.84/11.89  % Horn                                  11
% 36.84/11.89  % unary                                 3
% 36.84/11.89  % binary                                8
% 36.84/11.89  % lits                                  31
% 36.84/11.89  % lits eq                               0
% 36.84/11.89  % fd_pure                               0
% 36.84/11.89  % fd_pseudo                             0
% 36.84/11.89  % fd_cond                               0
% 36.84/11.89  % fd_pseudo_cond                        0
% 36.84/11.89  % AC symbols                            0
% 36.84/11.89  
% 36.84/11.89  % ------ Schedule dynamic 5 is on 
% 36.84/11.89  
% 36.84/11.89  % ------ no equalities: superposition off 
% 36.84/11.89  
% 36.84/11.89  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 36.84/11.89  
% 36.84/11.89  
% 36.84/11.89  % ------ 
% 36.84/11.89  % Current options:
% 36.84/11.89  % ------ 
% 36.84/11.89  
% 36.84/11.89  
% 36.84/11.89  % 
% 36.84/11.89  
% 36.84/11.89  % ------ Proving...
% 36.84/11.89  % 
% 36.84/11.89  
% 36.84/11.89  % SZS status Theorem for theBenchmark.p
% 36.84/11.89  
% 36.84/11.89  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 36.84/11.89  
% 36.84/11.89  
%------------------------------------------------------------------------------