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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SEU108+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n019.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 02:55:26 PM UTC 2026

% Result   : Theorem 15.70s 3.30s
% Output   : CNFRefutation 15.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   80 (  14 unt;   1 def)
%            Number of atoms       :  306 (  23 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  246 ( 103   ~; 113   |;  20   &)
%                                         (   3 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 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;   2 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   1 con; 0-3 aty)
%            Number of variables   :  138 (   0 sgn 133   !;   5   ?;  46   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ! [X0,X1,X2] :
      ( ( element(X2,powerset(X0))
        & element(X1,powerset(X0)) )
     => element(subset_union2(X0,X1,X2),powerset(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_subset_1) ).

fof(f9,axiom,
    ! [X0,X1,X2] :
      ( ( element(X2,powerset(X0))
        & element(X1,powerset(X0)) )
     => element(subset_difference(X0,X1,X2),powerset(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_subset_1) ).

fof(f12,axiom,
    ! [X0] : ~ empty(powerset(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).

fof(f28,axiom,
    ! [X0,X1,X2] :
      ( ( element(X2,powerset(X0))
        & element(X1,powerset(X0)) )
     => subset_union2(X0,X1,X2) = set_union2(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_subset_1) ).

fof(f29,axiom,
    ! [X0,X1,X2] :
      ( ( element(X2,powerset(X0))
        & element(X1,powerset(X0)) )
     => subset_difference(X0,X1,X2) = set_difference(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_subset_1) ).

fof(f31,axiom,
    ! [X0] :
      ( preboolean(X0)
    <=> ! [X1,X2] :
          ( ( in(X2,X0)
            & in(X1,X0) )
         => ( in(set_difference(X1,X2),X0)
            & in(set_union2(X1,X2),X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_finsub_1) ).

fof(f33,axiom,
    ! [X0,X1] :
      ( in(X0,X1)
     => element(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).

fof(f34,conjecture,
    ! [X0] : preboolean(powerset(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_finsub_1) ).

fof(f35,negated_conjecture,
    ~ ! [X0] : preboolean(powerset(X0)),
    inference(negated_conjecture,[status(cth)],[f34]) ).

fof(f36,axiom,
    ! [X0,X1] :
      ( element(X0,X1)
     => ( in(X0,X1)
        | empty(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).

fof(f64,plain,
    ! [X0,X1,X2] :
      ( ~ element(X2,powerset(X0))
      | ~ element(X1,powerset(X0))
      | element(subset_union2(X0,X1,X2),powerset(X0)) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f65,plain,
    ! [X0,X1,X2] :
      ( ~ element(X2,powerset(X0))
      | ~ element(X1,powerset(X0))
      | element(subset_union2(X0,X1,X2),powerset(X0)) ),
    inference(flattening,[],[f64]) ).

fof(f66,plain,
    ! [X0,X1,X2] :
      ( ~ element(X2,powerset(X0))
      | ~ element(X1,powerset(X0))
      | element(subset_difference(X0,X1,X2),powerset(X0)) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f67,plain,
    ! [X0,X1,X2] :
      ( ~ element(X2,powerset(X0))
      | ~ element(X1,powerset(X0))
      | element(subset_difference(X0,X1,X2),powerset(X0)) ),
    inference(flattening,[],[f66]) ).

fof(f78,plain,
    ! [X0,X1,X2] :
      ( ~ element(X2,powerset(X0))
      | ~ element(X1,powerset(X0))
      | subset_union2(X0,X1,X2) = set_union2(X1,X2) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f79,plain,
    ! [X0,X1,X2] :
      ( ~ element(X2,powerset(X0))
      | ~ element(X1,powerset(X0))
      | subset_union2(X0,X1,X2) = set_union2(X1,X2) ),
    inference(flattening,[],[f78]) ).

fof(f80,plain,
    ! [X0,X1,X2] :
      ( ~ element(X2,powerset(X0))
      | ~ element(X1,powerset(X0))
      | subset_difference(X0,X1,X2) = set_difference(X1,X2) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f81,plain,
    ! [X0,X1,X2] :
      ( ~ element(X2,powerset(X0))
      | ~ element(X1,powerset(X0))
      | subset_difference(X0,X1,X2) = set_difference(X1,X2) ),
    inference(flattening,[],[f80]) ).

fof(f82,plain,
    ! [X0] :
      ( preboolean(X0)
    <=> ! [X1,X2] :
          ( ~ in(X2,X0)
          | ~ in(X1,X0)
          | ( in(set_difference(X1,X2),X0)
            & in(set_union2(X1,X2),X0) ) ) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f83,plain,
    ! [X0] :
      ( preboolean(X0)
    <=> ! [X1,X2] :
          ( ~ in(X2,X0)
          | ~ in(X1,X0)
          | ( in(set_difference(X1,X2),X0)
            & in(set_union2(X1,X2),X0) ) ) ),
    inference(flattening,[],[f82]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( ~ in(X0,X1)
      | element(X0,X1) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f85,plain,
    ? [X0] : ~ preboolean(powerset(X0)),
    inference(ennf_transformation,[],[f35]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( ~ element(X0,X1)
      | in(X0,X1)
      | empty(X1) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f87,plain,
    ! [X0,X1] :
      ( ~ element(X0,X1)
      | in(X0,X1)
      | empty(X1) ),
    inference(flattening,[],[f86]) ).

fof(f105,plain,
    ! [X0] :
      ( ( ~ preboolean(X0)
        | ! [X1,X2] :
            ( ~ in(X2,X0)
            | ~ in(X1,X0)
            | ( in(set_difference(X1,X2),X0)
              & in(set_union2(X1,X2),X0) ) ) )
      & ( ? [X1,X2] :
            ( in(X2,X0)
            & in(X1,X0)
            & ( ~ in(set_difference(X1,X2),X0)
              | ~ in(set_union2(X1,X2),X0) ) )
        | preboolean(X0) ) ),
    inference(nnf_transformation,[],[f83]) ).

fof(f106,plain,
    ! [X0] :
      ( ( ~ preboolean(X0)
        | ! [X3,X4] :
            ( ~ in(X4,X0)
            | ~ in(X3,X0)
            | ( in(set_difference(X3,X4),X0)
              & in(set_union2(X3,X4),X0) ) ) )
      & ( ? [X1,X2] :
            ( in(X2,X0)
            & in(X1,X0)
            & ( ~ in(set_difference(X1,X2),X0)
              | ~ in(set_union2(X1,X2),X0) ) )
        | preboolean(X0) ) ),
    inference(rectify,[],[f105]) ).

fof(f107,plain,
    ! [X0] :
      ( ( ~ preboolean(X0)
        | ! [X3,X4] :
            ( ~ in(X4,X0)
            | ~ in(X3,X0)
            | ( in(set_difference(X3,X4),X0)
              & in(set_union2(X3,X4),X0) ) ) )
      & ( ( in(sK11(X0),X0)
          & in(sK10(X0),X0)
          & ( ~ in(set_difference(sK10(X0),sK11(X0)),X0)
            | ~ in(set_union2(sK10(X0),sK11(X0)),X0) ) )
        | preboolean(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11]),skolemize(X1,sK10(X0)),skolemize(X2,sK11(X0))],[f106]) ).

fof(f108,plain,
    ~ preboolean(powerset(sK12)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X0,sK12)],[f85]) ).

fof(f117,plain,
    ! [X2,X0,X1] :
      ( ~ element(X2,powerset(X0))
      | ~ element(X1,powerset(X0))
      | element(subset_union2(X0,X1,X2),powerset(X0)) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f118,plain,
    ! [X2,X0,X1] :
      ( ~ element(X2,powerset(X0))
      | ~ element(X1,powerset(X0))
      | element(subset_difference(X0,X1,X2),powerset(X0)) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f121,plain,
    ! [X0] : ~ empty(powerset(X0)),
    inference(cnf_transformation,[],[f12]) ).

fof(f149,plain,
    ! [X2,X0,X1] :
      ( ~ element(X2,powerset(X0))
      | ~ element(X1,powerset(X0))
      | subset_union2(X0,X1,X2) = set_union2(X1,X2) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f150,plain,
    ! [X2,X0,X1] :
      ( ~ element(X2,powerset(X0))
      | ~ element(X1,powerset(X0))
      | subset_difference(X0,X1,X2) = set_difference(X1,X2) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f154,plain,
    ! [X0] :
      ( in(sK11(X0),X0)
      | preboolean(X0) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f155,plain,
    ! [X0] :
      ( in(sK10(X0),X0)
      | preboolean(X0) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f156,plain,
    ! [X0] :
      ( ~ in(set_difference(sK10(X0),sK11(X0)),X0)
      | ~ in(set_union2(sK10(X0),sK11(X0)),X0)
      | preboolean(X0) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f158,plain,
    ! [X0,X1] :
      ( ~ in(X0,X1)
      | element(X0,X1) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f159,plain,
    ~ preboolean(powerset(sK12)),
    inference(cnf_transformation,[],[f108]) ).

fof(f160,plain,
    ! [X0,X1] :
      ( ~ element(X0,X1)
      | in(X0,X1)
      | empty(X1) ),
    inference(cnf_transformation,[],[f87]) ).

tcf(c_57,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( element(subset_union2(X1,X0,X2),powerset(X1))
      | ~ element(X2,powerset(X1))
      | ~ element(X0,powerset(X1)) ),
    inference(cnf_transformation,[],[f117]) ).

tcf(c_58,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( element(subset_difference(X1,X0,X2),powerset(X1))
      | ~ element(X2,powerset(X1))
      | ~ element(X0,powerset(X1)) ),
    inference(cnf_transformation,[],[f118]) ).

tcf(c_61,plain,
    ! [X0: $i] : ~ empty(powerset(X0)),
    inference(cnf_transformation,[],[f121]) ).

tcf(c_89,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( subset_union2(X1,X0,X2) = set_union2(X0,X2) )
      | ~ element(X2,powerset(X1))
      | ~ element(X0,powerset(X1)) ),
    inference(cnf_transformation,[],[f149]) ).

tcf(c_90,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( subset_difference(X1,X0,X2) = set_difference(X0,X2) )
      | ~ element(X2,powerset(X1))
      | ~ element(X0,powerset(X1)) ),
    inference(cnf_transformation,[],[f150]) ).

tcf(c_92,plain,
    ! [X0: $i] :
      ( preboolean(X0)
      | ~ in(set_difference(sK10(X0),sK11(X0)),X0)
      | ~ in(set_union2(sK10(X0),sK11(X0)),X0) ),
    inference(cnf_transformation,[],[f156]) ).

tcf(c_93,plain,
    ! [X0: $i] :
      ( preboolean(X0)
      | in(sK10(X0),X0) ),
    inference(cnf_transformation,[],[f155]) ).

tcf(c_94,plain,
    ! [X0: $i] :
      ( preboolean(X0)
      | in(sK11(X0),X0) ),
    inference(cnf_transformation,[],[f154]) ).

tcf(c_98,plain,
    ! [X0: $i,X1: $i] :
      ( element(X0,X1)
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f158]) ).

tcf(c_99,negated_conjecture,
    ~ preboolean(powerset(sK12)),
    inference(cnf_transformation,[],[f159]) ).

tcf(c_100,plain,
    ! [X0: $i,X1: $i] :
      ( empty(X1)
      | in(X0,X1)
      | ~ element(X0,X1) ),
    inference(cnf_transformation,[],[f160]) ).

tcf(c_1242,definition,
    iPr_def_10 = powerset(sK12),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_1243,negated_conjecture,
    ~ preboolean(iPr_def_10),
    inference(demodulation,[status(thm)],[c_99,c_1242]) ).

tcf(c_2113,plain,
    ( preboolean(iPr_def_10)
    | in(sK10(iPr_def_10),iPr_def_10) ),
    inference(instantiation,[status(thm)],[c_93]) ).

tcf(c_2123,plain,
    ( preboolean(iPr_def_10)
    | in(sK11(iPr_def_10),iPr_def_10) ),
    inference(instantiation,[status(thm)],[c_94]) ).

tcf(c_2167,plain,
    ( preboolean(iPr_def_10)
    | ~ in(set_difference(sK10(iPr_def_10),sK11(iPr_def_10)),iPr_def_10)
    | ~ in(set_union2(sK10(iPr_def_10),sK11(iPr_def_10)),iPr_def_10) ),
    inference(instantiation,[status(thm)],[c_92]) ).

tcf(c_2695,plain,
    ( element(sK10(iPr_def_10),iPr_def_10)
    | ~ in(sK10(iPr_def_10),iPr_def_10) ),
    inference(instantiation,[status(thm)],[c_98]) ).

tcf(c_2752,plain,
    ( element(sK11(iPr_def_10),iPr_def_10)
    | ~ in(sK11(iPr_def_10),iPr_def_10) ),
    inference(instantiation,[status(thm)],[c_98]) ).

tcf(c_20831,plain,
    ! [X0: $i] :
      ( preboolean(X0)
      | element(sK10(X0),X0) ),
    inference(superposition,[status(thm)],[c_93,c_98]) ).

tcf(c_20832,plain,
    ! [X0: $i] :
      ( preboolean(X0)
      | element(sK11(X0),X0) ),
    inference(superposition,[status(thm)],[c_94,c_98]) ).

tcf(c_21164,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( empty(powerset(X1))
      | in(subset_union2(X1,X0,X2),powerset(X1))
      | ~ element(X2,powerset(X1))
      | ~ element(X0,powerset(X1)) ),
    inference(superposition,[status(thm)],[c_57,c_100]) ).

tcf(c_21169,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( in(subset_union2(X1,X0,X2),powerset(X1))
      | ~ element(X2,powerset(X1))
      | ~ element(X0,powerset(X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_21164,c_61]) ).

tcf(c_21190,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( empty(powerset(X1))
      | in(subset_difference(X1,X0,X2),powerset(X1))
      | ~ element(X2,powerset(X1))
      | ~ element(X0,powerset(X1)) ),
    inference(superposition,[status(thm)],[c_58,c_100]) ).

tcf(c_21195,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( in(subset_difference(X1,X0,X2),powerset(X1))
      | ~ element(X2,powerset(X1))
      | ~ element(X0,powerset(X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_21190,c_61]) ).

tcf(c_21438,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset_union2(sK12,X1,X0) = set_union2(X1,X0) )
      | ~ element(X1,iPr_def_10)
      | ~ element(X0,powerset(sK12)) ),
    inference(superposition,[status(thm)],[c_1242,c_89]) ).

tcf(c_21444,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset_union2(sK12,X1,X0) = set_union2(X1,X0) )
      | ~ element(X1,iPr_def_10)
      | ~ element(X0,iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_21438,c_1242]) ).

tcf(c_21489,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset_difference(sK12,X1,X0) = set_difference(X1,X0) )
      | ~ element(X1,iPr_def_10)
      | ~ element(X0,powerset(sK12)) ),
    inference(superposition,[status(thm)],[c_1242,c_90]) ).

tcf(c_21495,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset_difference(sK12,X1,X0) = set_difference(X1,X0) )
      | ~ element(X1,iPr_def_10)
      | ~ element(X0,iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_21489,c_1242]) ).

tcf(c_35254,plain,
    ! [X0: $i] :
      ( preboolean(iPr_def_10)
      | ( subset_union2(sK12,X0,sK11(iPr_def_10)) = set_union2(X0,sK11(iPr_def_10)) )
      | ~ element(X0,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_20832,c_21444]) ).

tcf(c_35282,plain,
    ! [X0: $i] :
      ( ( subset_union2(sK12,X0,sK11(iPr_def_10)) = set_union2(X0,sK11(iPr_def_10)) )
      | ~ element(X0,iPr_def_10) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_35254,c_1243]) ).

tcf(c_36867,plain,
    ! [X0: $i] :
      ( preboolean(iPr_def_10)
      | ( subset_difference(sK12,X0,sK11(iPr_def_10)) = set_difference(X0,sK11(iPr_def_10)) )
      | ~ element(X0,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_20832,c_21495]) ).

tcf(c_36895,plain,
    ! [X0: $i] :
      ( ( subset_difference(sK12,X0,sK11(iPr_def_10)) = set_difference(X0,sK11(iPr_def_10)) )
      | ~ element(X0,iPr_def_10) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_36867,c_1243]) ).

tcf(c_38322,plain,
    ( preboolean(iPr_def_10)
    | ( subset_union2(sK12,sK10(iPr_def_10),sK11(iPr_def_10)) = set_union2(sK10(iPr_def_10),sK11(iPr_def_10)) ) ),
    inference(superposition,[status(thm)],[c_20831,c_35282]) ).

tcf(c_38345,plain,
    subset_union2(sK12,sK10(iPr_def_10),sK11(iPr_def_10)) = set_union2(sK10(iPr_def_10),sK11(iPr_def_10)),
    inference(forward_subsumption_resolution,[status(thm)],[c_38322,c_1243]) ).

tcf(c_38446,plain,
    ( in(set_union2(sK10(iPr_def_10),sK11(iPr_def_10)),powerset(sK12))
    | ~ element(sK11(iPr_def_10),powerset(sK12))
    | ~ element(sK10(iPr_def_10),powerset(sK12)) ),
    inference(superposition,[status(thm)],[c_38345,c_21169]) ).

tcf(c_38454,plain,
    ( in(set_union2(sK10(iPr_def_10),sK11(iPr_def_10)),iPr_def_10)
    | ~ element(sK11(iPr_def_10),iPr_def_10)
    | ~ element(sK10(iPr_def_10),iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_38446,c_1242]) ).

tcf(c_39522,plain,
    ( preboolean(iPr_def_10)
    | ( subset_difference(sK12,sK10(iPr_def_10),sK11(iPr_def_10)) = set_difference(sK10(iPr_def_10),sK11(iPr_def_10)) ) ),
    inference(superposition,[status(thm)],[c_20831,c_36895]) ).

tcf(c_39545,plain,
    subset_difference(sK12,sK10(iPr_def_10),sK11(iPr_def_10)) = set_difference(sK10(iPr_def_10),sK11(iPr_def_10)),
    inference(forward_subsumption_resolution,[status(thm)],[c_39522,c_1243]) ).

tcf(c_42829,plain,
    ( in(set_difference(sK10(iPr_def_10),sK11(iPr_def_10)),powerset(sK12))
    | ~ element(sK11(iPr_def_10),powerset(sK12))
    | ~ element(sK10(iPr_def_10),powerset(sK12)) ),
    inference(superposition,[status(thm)],[c_39545,c_21195]) ).

tcf(c_42837,plain,
    ( in(set_difference(sK10(iPr_def_10),sK11(iPr_def_10)),iPr_def_10)
    | ~ element(sK11(iPr_def_10),iPr_def_10)
    | ~ element(sK10(iPr_def_10),iPr_def_10) ),
    inference(light_normalisation,[status(thm)],[c_42829,c_1242]) ).

tcf(c_42846,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_42837,c_38454,c_2752,c_2695,c_2167,c_2123,c_2113,c_1243]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU108+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36  % Computer : n019.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
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Thu Sep 24 12:46:19 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.41  Running first-order theorem proving
% 0.09/0.41  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
% 0.09/0.42  
% 0.09/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42  
% 0.09/0.42  % Detected problem language: tptp
% 0.09/0.43  % Proving...
% 15.70/3.30  % SZS status Started for theBenchmark.p
% 15.70/3.30  % SZS status Theorem for theBenchmark.p
% 15.70/3.30  
% 15.70/3.30  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 15.70/3.30  
% 15.70/3.30  % ------  iProver source info
% 15.70/3.30  
% 15.70/3.30  % git: date: 2026-07-19 20:42:38 +0200
% 15.70/3.30  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 15.70/3.30  % git: non_committed_changes: false
% 15.70/3.30  
% 15.70/3.30  % ------ Parsing...
% 15.70/3.30  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 15.70/3.30  
% 15.70/3.30  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 10 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 4 0s  sf_e  pe_s  pe_e % 
% 15.70/3.30  
% 15.70/3.30  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 15.70/3.30  
% 15.70/3.30  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 15.70/3.30  % ------ Proving...
% 15.70/3.30  % ------ Problem Properties 
% 15.70/3.30  
% 15.70/3.30  % 
% 15.70/3.30  % clauses                               47
% 15.70/3.30  % conjectures                           1
% 15.70/3.30  % EPR                                   13
% 15.70/3.30  % Horn                                  41
% 15.70/3.30  % unary                                 20
% 15.70/3.30  % binary                                14
% 15.70/3.30  % lits                                  89
% 15.70/3.30  % lits eq                               12
% 15.70/3.30  % fd_pure                               0
% 15.70/3.30  % fd_pseudo                             0
% 15.70/3.30  % fd_cond                               1
% 15.70/3.30  % fd_pseudo_cond                        1
% 15.70/3.30  % AC symbols                            0
% 15.70/3.30  
% 15.70/3.30  % ------ Schedule dynamic 5 is on 
% 15.70/3.30  
% 15.70/3.30  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 15.70/3.30  
% 15.70/3.30  
% 15.70/3.30  % ------ 
% 15.70/3.30  % Current options:
% 15.70/3.30  % ------ 
% 15.70/3.30  
% 15.70/3.30  
% 15.70/3.30  % 
% 15.70/3.30  
% 15.70/3.30  % ------ Proving...
% 15.70/3.30  % 
% 15.70/3.30  
% 15.70/3.30  % SZS status Theorem for theBenchmark.p
% 15.70/3.30  
% 15.70/3.30  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 15.70/3.30  
% 15.70/3.30  
%------------------------------------------------------------------------------