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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SET774+4 : TPTP v9.3.1. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n011.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 02:48:33 PM UTC 2026

% Result   : Theorem 3.68s 21.26s
% Output   : CNFRefutation 3.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   71 (   8 unt;   1 def)
%            Number of atoms       :  314 (   0 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :  325 ( 124   ~; 134   |;  49   &)
%                                         (   7 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :  153 (   0 sgn 138   !;  15   ?;  35   :)

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

fof(f16,axiom,
    ! [X0,X1] :
      ( pre_order(X0,X1)
    <=> ( ! [X2,X3,X4] :
            ( ( member(X4,X1)
              & member(X3,X1)
              & member(X2,X1) )
           => ( ( apply(X0,X3,X4)
                & apply(X0,X2,X3) )
             => apply(X0,X2,X4) ) )
        & ! [X2] :
            ( member(X2,X1)
           => apply(X0,X2,X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+2.ax',pre_order) ).

fof(f17,conjecture,
    ! [X0,X1,X2] :
      ( ( subset(X1,X0)
        & pre_order(X2,X0) )
     => pre_order(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIII10) ).

fof(f18,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( ( subset(X1,X0)
          & pre_order(X2,X0) )
       => pre_order(X2,X1) ),
    inference(negated_conjecture,[status(cth)],[f17]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( pre_order(X0,X1)
    <=> ( ! [X3,X4,X5] :
            ( ( member(X5,X1)
              & member(X4,X1)
              & member(X3,X1) )
           => ( ( apply(X0,X4,X5)
                & apply(X0,X3,X4) )
             => apply(X0,X3,X5) ) )
        & ! [X2] :
            ( member(X2,X1)
           => apply(X0,X2,X2) ) ) ),
    inference(rectify,[],[f16]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
     => ! [X2] :
          ( member(X2,X0)
         => member(X2,X1) ) ),
    inference(unused_predicate_definition_removal,[],[f1]) ).

fof(f21,plain,
    ? [X0,X1,X2] :
      ( subset(X1,X0)
      & pre_order(X2,X0)
      & ~ pre_order(X2,X1) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f22,plain,
    ? [X0,X1,X2] :
      ( subset(X1,X0)
      & pre_order(X2,X0)
      & ~ pre_order(X2,X1) ),
    inference(flattening,[],[f21]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( ~ subset(X0,X1)
      | ! [X2] :
          ( ~ member(X2,X0)
          | member(X2,X1) ) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( pre_order(X0,X1)
    <=> ( ! [X3,X4,X5] :
            ( ~ member(X5,X1)
            | ~ member(X4,X1)
            | ~ member(X3,X1)
            | ~ apply(X0,X4,X5)
            | ~ apply(X0,X3,X4)
            | apply(X0,X3,X5) )
        & ! [X2] :
            ( ~ member(X2,X1)
            | apply(X0,X2,X2) ) ) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( pre_order(X0,X1)
    <=> ( ! [X3,X4,X5] :
            ( ~ member(X5,X1)
            | ~ member(X4,X1)
            | ~ member(X3,X1)
            | ~ apply(X0,X4,X5)
            | ~ apply(X0,X3,X4)
            | apply(X0,X3,X5) )
        & ! [X2] :
            ( ~ member(X2,X1)
            | apply(X0,X2,X2) ) ) ),
    inference(flattening,[],[f24]) ).

fof(f28,plain,
    ( subset(sK2,sK1)
    & pre_order(sK3,sK1)
    & ~ pre_order(sK3,sK2) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f22]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ( ~ pre_order(X0,X1)
        | ( sP0(X0,X1)
          & ! [X2] :
              ( ~ member(X2,X1)
              | apply(X0,X2,X2) ) ) )
      & ( ~ sP0(X0,X1)
        | ? [X2] :
            ( member(X2,X1)
            & ~ apply(X0,X2,X2) )
        | pre_order(X0,X1) ) ),
    inference(nnf_transformation,[],[f27]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( ( ~ pre_order(X0,X1)
        | ( sP0(X0,X1)
          & ! [X2] :
              ( ~ member(X2,X1)
              | apply(X0,X2,X2) ) ) )
      & ( ~ sP0(X0,X1)
        | ? [X2] :
            ( member(X2,X1)
            & ~ apply(X0,X2,X2) )
        | pre_order(X0,X1) ) ),
    inference(flattening,[],[f32]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( ( ~ pre_order(X0,X1)
        | ( sP0(X0,X1)
          & ! [X3] :
              ( ~ member(X3,X1)
              | apply(X0,X3,X3) ) ) )
      & ( ~ sP0(X0,X1)
        | ? [X2] :
            ( member(X2,X1)
            & ~ apply(X0,X2,X2) )
        | pre_order(X0,X1) ) ),
    inference(rectify,[],[f33]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( ( ~ pre_order(X0,X1)
        | ( sP0(X0,X1)
          & ! [X3] :
              ( ~ member(X3,X1)
              | apply(X0,X3,X3) ) ) )
      & ( ~ sP0(X0,X1)
        | ( member(sK7(X0,X1),X1)
          & ~ apply(X0,sK7(X0,X1),sK7(X0,X1)) )
        | pre_order(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X2,sK7(X0,X1))],[f34]) ).

fof(f36,plain,
    subset(sK2,sK1),
    inference(cnf_transformation,[],[f28]) ).

fof(f37,plain,
    pre_order(sK3,sK1),
    inference(cnf_transformation,[],[f28]) ).

fof(f38,plain,
    ~ pre_order(sK3,sK2),
    inference(cnf_transformation,[],[f28]) ).

fof(f39,plain,
    ! [X2,X0,X1] :
      ( ~ subset(X0,X1)
      | ~ member(X2,X0)
      | member(X2,X1) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( ~ pre_order(X0,X1)
      | sP0(X0,X1) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f48,plain,
    ! [X3,X0,X1] :
      ( ~ pre_order(X0,X1)
      | ~ member(X3,X1)
      | apply(X0,X3,X3) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( ~ sP0(X0,X1)
      | member(sK7(X0,X1),X1)
      | pre_order(X0,X1) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( ~ sP0(X0,X1)
      | ~ apply(X0,sK7(X0,X1),sK7(X0,X1))
      | pre_order(X0,X1) ),
    inference(cnf_transformation,[],[f35]) ).

tcf(c_49,negated_conjecture,
    ~ pre_order(sK3,sK2),
    inference(cnf_transformation,[],[f38]) ).

tcf(c_50,negated_conjecture,
    pre_order(sK3,sK1),
    inference(cnf_transformation,[],[f37]) ).

tcf(c_51,negated_conjecture,
    subset(sK2,sK1),
    inference(cnf_transformation,[],[f36]) ).

tcf(c_52,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( member(X2,X1)
      | ~ member(X2,X0)
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f39]) ).

tcf(c_60,plain,
    ! [X0: $i,X1: $i] :
      ( pre_order(X0,X1)
      | ~ sP0(X0,X1)
      | ~ apply(X0,sK7(X0,X1),sK7(X0,X1)) ),
    inference(cnf_transformation,[],[f50]) ).

tcf(c_61,plain,
    ! [X0: $i,X1: $i] :
      ( pre_order(X0,X1)
      | member(sK7(X0,X1),X1)
      | ~ sP0(X0,X1) ),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_62,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( apply(X0,X2,X2)
      | ~ member(X2,X1)
      | ~ pre_order(X0,X1) ),
    inference(cnf_transformation,[],[f48]) ).

tcf(c_63,plain,
    ! [X0: $i,X1: $i] :
      ( sP0(X0,X1)
      | ~ pre_order(X0,X1) ),
    inference(cnf_transformation,[],[f47]) ).

tcf(c_146,plain,
    ! [X0: $i] :
      ( member(X0,sK1)
      | ~ member(X0,sK2) ),
    inference(resolution,[status(thm)],[c_51,c_52]) ).

tcf(c_186,plain,
    ( member(sK7(sK3,sK2),sK2)
    | ~ sP0(sK3,sK2) ),
    inference(resolution,[status(thm)],[c_49,c_61]) ).

tcf(c_193,plain,
    ( ~ sP0(sK3,sK2)
    | ~ apply(sK3,sK7(sK3,sK2),sK7(sK3,sK2)) ),
    inference(resolution,[status(thm)],[c_49,c_60]) ).

tcf(c_200,plain,
    sP0(sK3,sK1),
    inference(resolution,[status(thm)],[c_50,c_63]) ).

tcf(c_1116,plain,
    ( member(sK7(sK3,sK2),sK1)
    | ~ member(sK7(sK3,sK2),sK2) ),
    inference(instantiation,[status(thm)],[c_146]) ).

tcf(c_1118,plain,
    ! [X0: $i] :
      ( apply(X0,sK7(sK3,sK2),sK7(sK3,sK2))
      | ~ pre_order(X0,sK1)
      | ~ member(sK7(sK3,sK2),sK1) ),
    inference(instantiation,[status(thm)],[c_62]) ).

tcf(c_1124,plain,
    ( apply(sK3,sK7(sK3,sK2),sK7(sK3,sK2))
    | ~ pre_order(sK3,sK1)
    | ~ member(sK7(sK3,sK2),sK1) ),
    inference(instantiation,[status(thm)],[c_1118]) ).

tcf(c_1138,plain,
    ( member(sK6(sK3,sK2),sK1)
    | ~ member(sK6(sK3,sK2),sK2) ),
    inference(instantiation,[status(thm)],[c_146]) ).

tcf(c_1143,plain,
    ( member(sK5(sK3,sK2),sK1)
    | ~ member(sK5(sK3,sK2),sK2) ),
    inference(instantiation,[status(thm)],[c_146]) ).

tcf(c_1148,plain,
    ( member(sK4(sK3,sK2),sK1)
    | ~ member(sK4(sK3,sK2),sK2) ),
    inference(instantiation,[status(thm)],[c_146]) ).

fof(f26,definition,
    ! [X0,X1] :
      ( sP0(X0,X1)
    <=> ! [X3,X4,X5] :
          ( ~ member(X5,X1)
          | ~ member(X4,X1)
          | ~ member(X3,X1)
          | ~ apply(X0,X4,X5)
          | ~ apply(X0,X3,X4)
          | apply(X0,X3,X5) ) ),
    introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( pre_order(X0,X1)
    <=> ( sP0(X0,X1)
        & ! [X2] :
            ( ~ member(X2,X1)
            | apply(X0,X2,X2) ) ) ),
    inference(definition_folding,[],[f25,f26]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ( ~ sP0(X0,X1)
        | ! [X3,X4,X5] :
            ( ~ member(X5,X1)
            | ~ member(X4,X1)
            | ~ member(X3,X1)
            | ~ apply(X0,X4,X5)
            | ~ apply(X0,X3,X4)
            | apply(X0,X3,X5) ) )
      & ( ? [X3,X4,X5] :
            ( member(X5,X1)
            & member(X4,X1)
            & member(X3,X1)
            & apply(X0,X4,X5)
            & apply(X0,X3,X4)
            & ~ apply(X0,X3,X5) )
        | sP0(X0,X1) ) ),
    inference(nnf_transformation,[],[f26]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( ( ~ sP0(X0,X1)
        | ! [X5,X6,X7] :
            ( ~ member(X7,X1)
            | ~ member(X6,X1)
            | ~ member(X5,X1)
            | ~ apply(X0,X6,X7)
            | ~ apply(X0,X5,X6)
            | apply(X0,X5,X7) ) )
      & ( ? [X2,X3,X4] :
            ( member(X4,X1)
            & member(X3,X1)
            & member(X2,X1)
            & apply(X0,X3,X4)
            & apply(X0,X2,X3)
            & ~ apply(X0,X2,X4) )
        | sP0(X0,X1) ) ),
    inference(rectify,[],[f29]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( ( ~ sP0(X0,X1)
        | ! [X5,X6,X7] :
            ( ~ member(X7,X1)
            | ~ member(X6,X1)
            | ~ member(X5,X1)
            | ~ apply(X0,X6,X7)
            | ~ apply(X0,X5,X6)
            | apply(X0,X5,X7) ) )
      & ( ( member(sK6(X0,X1),X1)
          & member(sK5(X0,X1),X1)
          & member(sK4(X0,X1),X1)
          & apply(X0,sK5(X0,X1),sK6(X0,X1))
          & apply(X0,sK4(X0,X1),sK5(X0,X1))
          & ~ apply(X0,sK4(X0,X1),sK6(X0,X1)) )
        | sP0(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6]),skolemize(X2,sK4(X0,X1)),skolemize(X3,sK5(X0,X1)),skolemize(X4,sK6(X0,X1))],[f30]) ).

fof(f40,plain,
    ! [X0,X1,X6,X7,X5] :
      ( ~ sP0(X0,X1)
      | ~ member(X7,X1)
      | ~ member(X6,X1)
      | ~ member(X5,X1)
      | ~ apply(X0,X6,X7)
      | ~ apply(X0,X5,X6)
      | apply(X0,X5,X7) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( member(sK6(X0,X1),X1)
      | sP0(X0,X1) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( member(sK5(X0,X1),X1)
      | sP0(X0,X1) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( member(sK4(X0,X1),X1)
      | sP0(X0,X1) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( apply(X0,sK5(X0,X1),sK6(X0,X1))
      | sP0(X0,X1) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( apply(X0,sK4(X0,X1),sK5(X0,X1))
      | sP0(X0,X1) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( ~ apply(X0,sK4(X0,X1),sK6(X0,X1))
      | sP0(X0,X1) ),
    inference(cnf_transformation,[],[f31]) ).

tcf(c_53,plain,
    ! [X0: $i,X1: $i] :
      ( sP0(X0,X1)
      | ~ apply(X0,sK4(X0,X1),sK6(X0,X1)) ),
    inference(cnf_transformation,[],[f46]) ).

tcf(c_54,plain,
    ! [X0: $i,X1: $i] :
      ( sP0(X0,X1)
      | apply(X0,sK4(X0,X1),sK5(X0,X1)) ),
    inference(cnf_transformation,[],[f45]) ).

tcf(c_55,plain,
    ! [X0: $i,X1: $i] :
      ( sP0(X0,X1)
      | apply(X0,sK5(X0,X1),sK6(X0,X1)) ),
    inference(cnf_transformation,[],[f44]) ).

tcf(c_56,plain,
    ! [X0: $i,X1: $i] :
      ( sP0(X0,X1)
      | member(sK4(X0,X1),X1) ),
    inference(cnf_transformation,[],[f43]) ).

tcf(c_57,plain,
    ! [X0: $i,X1: $i] :
      ( sP0(X0,X1)
      | member(sK5(X0,X1),X1) ),
    inference(cnf_transformation,[],[f42]) ).

tcf(c_58,plain,
    ! [X0: $i,X1: $i] :
      ( sP0(X0,X1)
      | member(sK6(X0,X1),X1) ),
    inference(cnf_transformation,[],[f41]) ).

tcf(c_59,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( apply(X0,X1,X3)
      | ~ sP0(X0,X4)
      | ~ member(X3,X4)
      | ~ member(X2,X4)
      | ~ member(X1,X4)
      | ~ apply(X0,X2,X3)
      | ~ apply(X0,X1,X2) ),
    inference(cnf_transformation,[],[f40]) ).

tcf(c_1099,plain,
    ( sP0(sK3,sK2)
    | apply(sK3,sK5(sK3,sK2),sK6(sK3,sK2)) ),
    inference(instantiation,[status(thm)],[c_55]) ).

tcf(c_1100,plain,
    ( sP0(sK3,sK2)
    | apply(sK3,sK4(sK3,sK2),sK5(sK3,sK2)) ),
    inference(instantiation,[status(thm)],[c_54]) ).

tcf(c_1101,plain,
    ( sP0(sK3,sK2)
    | ~ apply(sK3,sK4(sK3,sK2),sK6(sK3,sK2)) ),
    inference(instantiation,[status(thm)],[c_53]) ).

tcf(c_1102,plain,
    ( sP0(sK3,sK2)
    | member(sK6(sK3,sK2),sK2) ),
    inference(instantiation,[status(thm)],[c_58]) ).

tcf(c_1103,plain,
    ( sP0(sK3,sK2)
    | member(sK5(sK3,sK2),sK2) ),
    inference(instantiation,[status(thm)],[c_57]) ).

tcf(c_1104,plain,
    ( sP0(sK3,sK2)
    | member(sK4(sK3,sK2),sK2) ),
    inference(instantiation,[status(thm)],[c_56]) ).

tcf(c_1155,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( apply(X0,sK4(sK3,sK2),X2)
      | ~ sP0(X0,sK1)
      | ~ member(X2,sK1)
      | ~ member(X1,sK1)
      | ~ apply(X0,X1,X2)
      | ~ member(sK4(sK3,sK2),sK1)
      | ~ apply(X0,sK4(sK3,sK2),X1) ),
    inference(instantiation,[status(thm)],[c_59]) ).

tcf(c_1188,plain,
    ! [X0: $i] :
      ( apply(sK3,sK4(sK3,sK2),sK6(sK3,sK2))
      | ~ sP0(sK3,sK1)
      | ~ member(X0,sK1)
      | ~ member(sK6(sK3,sK2),sK1)
      | ~ member(sK4(sK3,sK2),sK1)
      | ~ apply(sK3,X0,sK6(sK3,sK2))
      | ~ apply(sK3,sK4(sK3,sK2),X0) ),
    inference(instantiation,[status(thm)],[c_1155]) ).

tcf(c_1191,plain,
    ( apply(sK3,sK4(sK3,sK2),sK6(sK3,sK2))
    | ~ sP0(sK3,sK1)
    | ~ member(sK5(sK3,sK2),sK1)
    | ~ member(sK6(sK3,sK2),sK1)
    | ~ member(sK4(sK3,sK2),sK1)
    | ~ apply(sK3,sK5(sK3,sK2),sK6(sK3,sK2))
    | ~ apply(sK3,sK4(sK3,sK2),sK5(sK3,sK2)) ),
    inference(instantiation,[status(thm)],[c_1188]) ).

tcf(c_1193,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_1191,c_1148,c_1143,c_1138,c_1124,c_1116,c_1099,c_1100,c_1101,c_1102,c_1103,c_1104,c_200,c_193,c_186,c_50]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SET774+4 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.03  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.34   % Computer : n011.cluster.edu
% 0.08/0.34   % Model    : x86_64 x86_64
% 0.08/0.34   % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34   % Memory   : 8046.5625MB
% 0.08/0.34   % OS       : Linux 6.8.0-71-generic
% 0.08/20.43  % CPULimit : 300
% 0.08/20.43  % WCLimit  : 300
% 0.08/20.43  % DateTime : Thu Sep 24 12:00:35 UTC 2026
% 0.08/20.43  % CPUTime  : 
% 0.08/20.43  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/20.47  Running first-order theorem proving
% 0.08/20.47  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
% 0.08/20.48  
% 0.08/20.48  % ======== iProver multi-core TPTP/SMT =========
% 0.08/20.48  
% 0.08/20.48  % Detected problem language: tptp
% 0.08/20.49  % Proving...
% 3.68/21.26  % SZS status Started for theBenchmark.p
% 3.68/21.26  % SZS status Theorem for theBenchmark.p
% 3.68/21.26  
% 3.68/21.26  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.68/21.26  
% 3.68/21.26  % ------  iProver source info
% 3.68/21.26  
% 3.68/21.26  % git: date: 2026-07-19 20:42:38 +0200
% 3.68/21.26  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.68/21.26  % git: non_committed_changes: false
% 3.68/21.26  
% 3.68/21.26  % ------ Parsing...
% 3.68/21.26  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 3.68/21.26  
% 3.68/21.26  % ------ 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 % 
% 3.68/21.26  
% 3.68/21.26  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.68/21.26  % ------ Proving...
% 3.68/21.26  % ------ Problem Properties 
% 3.68/21.26  
% 3.68/21.26  % 
% 3.68/21.26  % clauses                               14
% 3.68/21.26  % conjectures                           2
% 3.68/21.26  % EPR                                   6
% 3.68/21.26  % Horn                                  8
% 3.68/21.26  % unary                                 2
% 3.68/21.26  % binary                                8
% 3.68/21.26  % lits                                  34
% 3.68/21.26  % lits eq                               0
% 3.68/21.26  % fd_pure                               0
% 3.68/21.26  % fd_pseudo                             0
% 3.68/21.26  % fd_cond                               0
% 3.68/21.26  % fd_pseudo_cond                        0
% 3.68/21.26  % AC symbols                            0
% 3.68/21.26  
% 3.68/21.26  % ------ Schedule dynamic 5 is on 
% 3.68/21.26  
% 3.68/21.26  % ------ no equalities: superposition off 
% 3.68/21.26  
% 3.68/21.26  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.68/21.26  
% 3.68/21.26  
% 3.68/21.26  % ------ 
% 3.68/21.26  % Current options:
% 3.68/21.26  % ------ 
% 3.68/21.26  
% 3.68/21.26  
% 3.68/21.26  % 
% 3.68/21.26  
% 3.68/21.26  % ------ Proving...
% 3.68/21.26  % 
% 3.68/21.26  
% 3.68/21.26  % SZS status Theorem for theBenchmark.p
% 3.68/21.26  
% 3.68/21.26  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.68/21.27  
% 3.68/21.27  
%------------------------------------------------------------------------------