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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SEU325+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 : n018.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 02:56:52 PM UTC 2026

% Result   : Theorem 2.60s 6.20s
% Output   : CNFRefutation 2.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   89 (  34 unt;   2 def)
%            Number of atoms       :  241 (  57 equ)
%            Maximal formula atoms :   14 (   2 avg)
%            Number of connectives :  240 (  99   ~;  83   |;  44   &)
%                                         (   4 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 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  :   15 (  13 usr;   3 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   3 con; 0-2 aty)
%            Number of variables   :  110 (   0 sgn  98   !;  12   ?;  30   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f17,axiom,
    ! [X0] :
      ( one_sorted_str(X0)
     => cast_as_carrier_subset(X0) = the_carrier(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_pre_topc) ).

fof(f18,axiom,
    ! [X0,X1] :
      ( X1 = union(X0)
    <=> ! [X2] :
          ( in(X2,X1)
        <=> ? [X3] :
              ( in(X3,X0)
              & in(X2,X3) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_tarski) ).

fof(f19,axiom,
    ! [X0] :
      ( one_sorted_str(X0)
     => ! [X1] :
          ( element(X1,powerset(powerset(the_carrier(X0))))
         => ( is_a_cover_of_carrier(X0,X1)
          <=> cast_as_carrier_subset(X0) = union_of_subsets(the_carrier(X0),X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_pre_topc) ).

fof(f30,axiom,
    ! [X0] :
      ( ( one_sorted_str(X0)
        & ~ empty_carrier(X0) )
     => ~ empty(the_carrier(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).

fof(f33,axiom,
    ( v5_membered(empty_set)
    & v4_membered(empty_set)
    & v3_membered(empty_set)
    & v2_membered(empty_set)
    & v1_membered(empty_set)
    & empty(empty_set) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_membered) ).

fof(f36,axiom,
    ! [X0] :
    ? [X1] :
      ( empty(X1)
      & element(X1,powerset(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_subset_1) ).

fof(f39,axiom,
    ! [X0,X1] :
      ( element(X1,powerset(powerset(X0)))
     => union_of_subsets(X0,X1) = union(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k5_setfam_1) ).

fof(f45,axiom,
    ! [X0,X1,X2] :
      ~ ( empty(X2)
        & element(X1,powerset(X2))
        & in(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).

fof(f46,conjecture,
    ! [X0] :
      ( ( one_sorted_str(X0)
        & ~ empty_carrier(X0) )
     => ! [X1] :
          ( element(X1,powerset(powerset(the_carrier(X0))))
         => ~ ( X1 = empty_set
              & is_a_cover_of_carrier(X0,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_tops_2) ).

fof(f47,negated_conjecture,
    ~ ! [X0] :
        ( ( one_sorted_str(X0)
          & ~ empty_carrier(X0) )
       => ! [X1] :
            ( element(X1,powerset(powerset(the_carrier(X0))))
           => ~ ( X1 = empty_set
                & is_a_cover_of_carrier(X0,X1) ) ) ),
    inference(negated_conjecture,[status(cth)],[f46]) ).

fof(f48,axiom,
    ! [X0] :
      ( empty(X0)
     => X0 = empty_set ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).

fof(f49,axiom,
    ! [X0,X1] :
      ~ ( empty(X1)
        & in(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).

fof(f79,plain,
    ! [X0] :
      ( ~ one_sorted_str(X0)
      | cast_as_carrier_subset(X0) = the_carrier(X0) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f80,plain,
    ! [X0] :
      ( ~ one_sorted_str(X0)
      | ! [X1] :
          ( ~ element(X1,powerset(powerset(the_carrier(X0))))
          | ( is_a_cover_of_carrier(X0,X1)
          <=> cast_as_carrier_subset(X0) = union_of_subsets(the_carrier(X0),X1) ) ) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f83,plain,
    ! [X0] :
      ( ~ one_sorted_str(X0)
      | empty_carrier(X0)
      | ~ empty(the_carrier(X0)) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f84,plain,
    ! [X0] :
      ( ~ one_sorted_str(X0)
      | empty_carrier(X0)
      | ~ empty(the_carrier(X0)) ),
    inference(flattening,[],[f83]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( ~ element(X1,powerset(powerset(X0)))
      | union_of_subsets(X0,X1) = union(X1) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f97,plain,
    ! [X0,X1,X2] :
      ( ~ empty(X2)
      | ~ element(X1,powerset(X2))
      | ~ in(X0,X1) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f98,plain,
    ? [X0] :
      ( one_sorted_str(X0)
      & ~ empty_carrier(X0)
      & ? [X1] :
          ( element(X1,powerset(powerset(the_carrier(X0))))
          & X1 = empty_set
          & is_a_cover_of_carrier(X0,X1) ) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f99,plain,
    ? [X0] :
      ( one_sorted_str(X0)
      & ~ empty_carrier(X0)
      & ? [X1] :
          ( element(X1,powerset(powerset(the_carrier(X0))))
          & X1 = empty_set
          & is_a_cover_of_carrier(X0,X1) ) ),
    inference(flattening,[],[f98]) ).

fof(f100,plain,
    ! [X0] :
      ( ~ empty(X0)
      | X0 = empty_set ),
    inference(ennf_transformation,[],[f48]) ).

fof(f101,plain,
    ! [X0,X1] :
      ( ~ empty(X1)
      | ~ in(X0,X1) ),
    inference(ennf_transformation,[],[f49]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( ( union(X0) != X1
        | ! [X2] :
            ( ( ~ in(X2,X1)
              | ? [X3] :
                  ( in(X3,X0)
                  & in(X2,X3) ) )
            & ( ! [X3] :
                  ( ~ in(X3,X0)
                  | ~ in(X2,X3) )
              | in(X2,X1) ) ) )
      & ( ? [X2] :
            ( ( in(X2,X1)
              | ? [X3] :
                  ( in(X3,X0)
                  & in(X2,X3) ) )
            & ( ~ in(X2,X1)
              | ! [X3] :
                  ( ~ in(X3,X0)
                  | ~ in(X2,X3) ) ) )
        | X1 = union(X0) ) ),
    inference(nnf_transformation,[],[f18]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( ( union(X0) != X1
        | ! [X5] :
            ( ( ~ in(X5,X1)
              | ? [X7] :
                  ( in(X7,X0)
                  & in(X5,X7) ) )
            & ( ! [X6] :
                  ( ~ in(X6,X0)
                  | ~ in(X5,X6) )
              | in(X5,X1) ) ) )
      & ( ? [X2] :
            ( ( in(X2,X1)
              | ? [X4] :
                  ( in(X4,X0)
                  & in(X2,X4) ) )
            & ( ~ in(X2,X1)
              | ! [X3] :
                  ( ~ in(X3,X0)
                  | ~ in(X2,X3) ) ) )
        | X1 = union(X0) ) ),
    inference(rectify,[],[f103]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( ( union(X0) != X1
        | ! [X5] :
            ( ( ~ in(X5,X1)
              | ( in(sK2(X0,X5),X0)
                & in(X5,sK2(X0,X5)) ) )
            & ( ! [X6] :
                  ( ~ in(X6,X0)
                  | ~ in(X5,X6) )
              | in(X5,X1) ) ) )
      & ( ( ( in(sK0(X0,X1),X1)
            | ( in(sK1(X0,X1),X0)
              & in(sK0(X0,X1),sK1(X0,X1)) ) )
          & ( ~ in(sK0(X0,X1),X1)
            | ! [X3] :
                ( ~ in(X3,X0)
                | ~ in(sK0(X0,X1),X3) ) ) )
        | X1 = union(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X2,sK0(X0,X1)),skolemize(X4,sK1(X0,X1)),skolemize(X7,sK2(X0,X5))],[f104]) ).

fof(f106,plain,
    ! [X0] :
      ( ~ one_sorted_str(X0)
      | ! [X1] :
          ( ~ element(X1,powerset(powerset(the_carrier(X0))))
          | ( ( ~ is_a_cover_of_carrier(X0,X1)
              | cast_as_carrier_subset(X0) = union_of_subsets(the_carrier(X0),X1) )
            & ( cast_as_carrier_subset(X0) != union_of_subsets(the_carrier(X0),X1)
              | is_a_cover_of_carrier(X0,X1) ) ) ) ),
    inference(nnf_transformation,[],[f80]) ).

fof(f111,plain,
    ! [X0] :
      ( empty(sK7(X0))
      & element(sK7(X0),powerset(X0)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X1,sK7(X0))],[f36]) ).

fof(f114,plain,
    ( one_sorted_str(sK10)
    & ~ empty_carrier(sK10)
    & element(sK11,powerset(powerset(the_carrier(sK10))))
    & empty_set = sK11
    & is_a_cover_of_carrier(sK10,sK11) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11]),skolemize(X0,sK10),skolemize(X1,sK11)],[f99]) ).

fof(f140,plain,
    ! [X0] :
      ( ~ one_sorted_str(X0)
      | cast_as_carrier_subset(X0) = the_carrier(X0) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f144,plain,
    ! [X0,X1] :
      ( in(sK0(X0,X1),X1)
      | in(sK1(X0,X1),X0)
      | union(X0) = X1 ),
    inference(cnf_transformation,[],[f105]) ).

fof(f147,plain,
    ! [X0,X1] :
      ( ~ one_sorted_str(X0)
      | ~ element(X1,powerset(powerset(the_carrier(X0))))
      | ~ is_a_cover_of_carrier(X0,X1)
      | cast_as_carrier_subset(X0) = union_of_subsets(the_carrier(X0),X1) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f153,plain,
    ! [X0] :
      ( ~ one_sorted_str(X0)
      | empty_carrier(X0)
      | ~ empty(the_carrier(X0)) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f161,plain,
    empty(empty_set),
    inference(cnf_transformation,[],[f33]) ).

fof(f170,plain,
    ! [X0] : empty(sK7(X0)),
    inference(cnf_transformation,[],[f111]) ).

fof(f171,plain,
    ! [X0] : element(sK7(X0),powerset(X0)),
    inference(cnf_transformation,[],[f111]) ).

fof(f176,plain,
    ! [X0,X1] :
      ( ~ element(X1,powerset(powerset(X0)))
      | union_of_subsets(X0,X1) = union(X1) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f182,plain,
    ! [X2,X0,X1] :
      ( ~ empty(X2)
      | ~ element(X1,powerset(X2))
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f183,plain,
    one_sorted_str(sK10),
    inference(cnf_transformation,[],[f114]) ).

fof(f184,plain,
    ~ empty_carrier(sK10),
    inference(cnf_transformation,[],[f114]) ).

fof(f185,plain,
    element(sK11,powerset(powerset(the_carrier(sK10)))),
    inference(cnf_transformation,[],[f114]) ).

fof(f186,plain,
    empty_set = sK11,
    inference(cnf_transformation,[],[f114]) ).

fof(f187,plain,
    is_a_cover_of_carrier(sK10,sK11),
    inference(cnf_transformation,[],[f114]) ).

fof(f188,plain,
    ! [X0] :
      ( ~ empty(X0)
      | empty_set = X0 ),
    inference(cnf_transformation,[],[f100]) ).

fof(f189,plain,
    ! [X0,X1] :
      ( ~ empty(X1)
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f191,plain,
    empty(sK11),
    inference(definition_unfolding,[],[f161,f186]) ).

fof(f197,plain,
    ! [X0] :
      ( ~ empty(X0)
      | sK11 = X0 ),
    inference(definition_unfolding,[],[f188,f186]) ).

tcf(c_74,plain,
    ! [X0: $i] :
      ( ( cast_as_carrier_subset(X0) = the_carrier(X0) )
      | ~ one_sorted_str(X0) ),
    inference(cnf_transformation,[],[f140]) ).

tcf(c_77,plain,
    ! [X0: $i,X1: $i] :
      ( in(sK1(X0,X1),X0)
      | in(sK0(X0,X1),X1)
      | ( union(X0) = X1 ) ),
    inference(cnf_transformation,[],[f144]) ).

tcf(c_82,plain,
    ! [X0: $i,X1: $i] :
      ( ( union_of_subsets(the_carrier(X1),X0) = cast_as_carrier_subset(X1) )
      | ~ one_sorted_str(X1)
      | ~ is_a_cover_of_carrier(X1,X0)
      | ~ element(X0,powerset(powerset(the_carrier(X1)))) ),
    inference(cnf_transformation,[],[f147]) ).

tcf(c_87,plain,
    ! [X0: $i] :
      ( empty_carrier(X0)
      | ~ one_sorted_str(X0)
      | ~ empty(the_carrier(X0)) ),
    inference(cnf_transformation,[],[f153]) ).

tcf(c_90,negated_conjecture,
    empty(sK11),
    inference(cnf_transformation,[],[f191]) ).

tcf(c_104,plain,
    ! [X0: $i] : element(sK7(X0),powerset(X0)),
    inference(cnf_transformation,[],[f171]) ).

tcf(c_105,plain,
    ! [X0: $i] : empty(sK7(X0)),
    inference(cnf_transformation,[],[f170]) ).

tcf(c_110,plain,
    ! [X0: $i,X1: $i] :
      ( ( union_of_subsets(X1,X0) = union(X0) )
      | ~ element(X0,powerset(powerset(X1))) ),
    inference(cnf_transformation,[],[f176]) ).

tcf(c_116,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ empty(X1)
      | ~ in(X2,X0)
      | ~ element(X0,powerset(X1)) ),
    inference(cnf_transformation,[],[f182]) ).

tcf(c_117,negated_conjecture,
    is_a_cover_of_carrier(sK10,sK11),
    inference(cnf_transformation,[],[f187]) ).

tcf(c_118,negated_conjecture,
    element(sK11,powerset(powerset(the_carrier(sK10)))),
    inference(cnf_transformation,[],[f185]) ).

tcf(c_119,negated_conjecture,
    ~ empty_carrier(sK10),
    inference(cnf_transformation,[],[f184]) ).

tcf(c_120,negated_conjecture,
    one_sorted_str(sK10),
    inference(cnf_transformation,[],[f183]) ).

tcf(c_121,negated_conjecture,
    ! [X0: $i] :
      ( ( X0 = sK11 )
      | ~ empty(X0) ),
    inference(cnf_transformation,[],[f197]) ).

tcf(c_122,plain,
    ! [X0: $i,X1: $i] :
      ( ~ empty(X1)
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f189]) ).

tcf(c_756,plain,
    ! [X0: $i,X1: $i] :
      ( ( union_of_subsets(the_carrier(X1),X0) = cast_as_carrier_subset(X1) )
      | ~ one_sorted_str(X1)
      | ~ element(X0,powerset(powerset(the_carrier(X1))))
      | ( X1 != sK10 )
      | ( X0 != sK11 ) ),
    inference(resolution_lifted,[status(thm)],[c_82,c_117]) ).

tcf(c_757,plain,
    ( ( union_of_subsets(the_carrier(sK10),sK11) = cast_as_carrier_subset(sK10) )
    | ~ one_sorted_str(sK10)
    | ~ element(sK11,powerset(powerset(the_carrier(sK10)))) ),
    inference(unflattening,[status(thm)],[c_756]) ).

tcf(c_758,plain,
    union_of_subsets(the_carrier(sK10),sK11) = cast_as_carrier_subset(sK10),
    inference(global_subsumption_just,[status(thm)],[c_757,c_120,c_118,c_757]) ).

tcf(c_813,plain,
    ! [X0: $i] :
      ( ~ one_sorted_str(X0)
      | ~ empty(the_carrier(X0))
      | ( X0 != sK10 ) ),
    inference(resolution_lifted,[status(thm)],[c_87,c_119]) ).

tcf(c_814,plain,
    ( ~ one_sorted_str(sK10)
    | ~ empty(the_carrier(sK10)) ),
    inference(unflattening,[status(thm)],[c_813]) ).

tcf(c_815,plain,
    ~ empty(the_carrier(sK10)),
    inference(global_subsumption_just,[status(thm)],[c_814,c_120,c_814]) ).

tcf(c_853,plain,
    ! [X0: $i] :
      ( ( cast_as_carrier_subset(X0) = the_carrier(X0) )
      | ( X0 != sK10 ) ),
    inference(resolution_lifted,[status(thm)],[c_74,c_120]) ).

tcf(c_854,plain,
    cast_as_carrier_subset(sK10) = the_carrier(sK10),
    inference(unflattening,[status(thm)],[c_853]) ).

tcf(c_1023,plain,
    union_of_subsets(the_carrier(sK10),sK11) = the_carrier(sK10),
    inference(light_normalisation,[status(thm)],[c_758,c_854]) ).

tcf(c_1330,definition,
    iPr_def_10 = the_carrier(sK10),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_1331,definition,
    iPr_def_11 = union_of_subsets(iPr_def_10,sK11),
    introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).

tcf(c_1336,plain,
    iPr_def_11 = iPr_def_10,
    inference(demodulation,[status(thm)],[c_1023,c_1330,c_1331]) ).

tcf(c_1338,plain,
    ~ empty(iPr_def_10),
    inference(demodulation,[status(thm)],[c_815]) ).

tcf(c_1341,negated_conjecture,
    ! [X0: $i] :
      ( ( X0 = sK11 )
      | ~ empty(X0) ),
    inference(demodulation,[status(thm)],[c_121]) ).

tcf(c_1343,negated_conjecture,
    empty(sK11),
    inference(demodulation,[status(thm)],[c_90]) ).

tcf(c_1747,plain,
    ! [X0: $i] : sK7(X0) = sK11,
    inference(superposition,[status(thm)],[c_105,c_1341]) ).

tcf(c_1750,plain,
    ! [X0: $i] : element(sK11,powerset(X0)),
    inference(light_normalisation,[status(thm)],[c_104,c_1747]) ).

tcf(c_1762,plain,
    union_of_subsets(iPr_def_10,sK11) = iPr_def_10,
    inference(light_normalisation,[status(thm)],[c_1331,c_1336]) ).

tcf(c_2085,plain,
    ! [X0: $i,X1: $i] :
      ( ~ empty(X1)
      | ~ in(X0,sK11) ),
    inference(superposition,[status(thm)],[c_1750,c_116]) ).

tcf(c_2105,plain,
    ! [X0: $i] : union_of_subsets(X0,sK11) = union(sK11),
    inference(superposition,[status(thm)],[c_1750,c_110]) ).

tcf(c_2116,plain,
    union(sK11) = iPr_def_10,
    inference(demodulation,[status(thm)],[c_1762,c_2105]) ).

tcf(c_2254,plain,
    ! [X0: $i,X1: $i] :
      ( in(sK1(X1,sK11),X1)
      | ( union(X1) = sK11 )
      | ~ empty(X0) ),
    inference(superposition,[status(thm)],[c_77,c_2085]) ).

tcf(c_2522,plain,
    ! [X0: $i] :
      ( in(sK1(X0,sK11),X0)
      | ( union(X0) = sK11 ) ),
    inference(superposition,[status(thm)],[c_1343,c_2254]) ).

tcf(c_2597,plain,
    ! [X0: $i] :
      ( ( union(X0) = sK11 )
      | ~ empty(X0) ),
    inference(superposition,[status(thm)],[c_2522,c_122]) ).

tcf(c_2650,plain,
    union(sK11) = sK11,
    inference(superposition,[status(thm)],[c_1343,c_2597]) ).

tcf(c_2651,plain,
    sK11 = iPr_def_10,
    inference(light_normalisation,[status(thm)],[c_2650,c_2116]) ).

tcf(c_2673,plain,
    empty(iPr_def_10),
    inference(demodulation,[status(thm)],[c_1343,c_2651]) ).

tcf(c_2674,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_2673,c_1338]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU325+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/5.38  % Computer : n018.cluster.edu
% 0.09/5.38  % Model    : x86_64 x86_64
% 0.09/5.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38  % Memory   : 8046.5625MB
% 0.09/5.38  % OS       : Linux 6.8.0-71-generic
% 0.09/5.38  % CPULimit : 300
% 0.09/5.38  % WCLimit  : 300
% 0.09/5.38  % DateTime : Thu Sep 24 13:44:24 UTC 2026
% 0.09/5.38  % CPUTime  : 
% 0.09/5.38  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/5.42  Running first-order theorem proving
% 0.15/5.42  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
% 0.15/5.43  
% 0.15/5.43  % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.43  
% 0.15/5.43  % Detected problem language: tptp
% 0.15/5.44  % Proving...
% 2.60/6.20  % SZS status Started for theBenchmark.p
% 2.60/6.20  % SZS status Theorem for theBenchmark.p
% 2.60/6.20  
% 2.60/6.20  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.60/6.20  
% 2.60/6.20  % ------  iProver source info
% 2.60/6.20  
% 2.60/6.20  % git: date: 2026-07-19 20:42:38 +0200
% 2.60/6.20  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.60/6.20  % git: non_committed_changes: false
% 2.60/6.20  
% 2.60/6.20  % ------ Parsing...
% 2.60/6.20  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 2.60/6.20  
% 2.60/6.20  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 40 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sup_sim: 8  sf_s  rm: 9 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 9 0s  sf_e  pe_s  pe_e % 
% 2.60/6.20  
% 2.60/6.20  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 2.60/6.20  
% 2.60/6.20  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.60/6.20  % ------ Proving...
% 2.60/6.20  % ------ Problem Properties 
% 2.60/6.20  
% 2.60/6.20  % 
% 2.60/6.20  % clauses                               42
% 2.60/6.20  % conjectures                           3
% 2.60/6.20  % EPR                                   14
% 2.60/6.20  % Horn                                  38
% 2.60/6.20  % unary                                 24
% 2.60/6.20  % binary                                10
% 2.60/6.20  % lits                                  69
% 2.60/6.20  % lits eq                               16
% 2.60/6.20  % fd_pure                               0
% 2.60/6.20  % fd_pseudo                             0
% 2.60/6.20  % fd_cond                               1
% 2.60/6.20  % fd_pseudo_cond                        4
% 2.60/6.20  % AC symbols                            0
% 2.60/6.20  
% 2.60/6.20  % ------ Schedule dynamic 5 is on 
% 2.60/6.20  
% 2.60/6.20  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.60/6.20  
% 2.60/6.20  
% 2.60/6.20  % ------ 
% 2.60/6.20  % Current options:
% 2.60/6.20  % ------ 
% 2.60/6.20  
% 2.60/6.20  
% 2.60/6.20  % 
% 2.60/6.20  
% 2.60/6.20  % ------ Proving...
% 2.60/6.20  % 
% 2.60/6.20  
% 2.60/6.20  % SZS status Theorem for theBenchmark.p
% 2.60/6.20  
% 2.60/6.20  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.60/6.20  
% 2.60/6.20  
%------------------------------------------------------------------------------