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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SET964+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n012.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 02:49:13 PM UTC 2026

% Result   : Theorem 2.52s 6.45s
% Output   : CNFRefutation 2.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   70 (  11 unt;   0 def)
%            Number of atoms       :  240 (  47 equ)
%            Maximal formula atoms :   18 (   3 avg)
%            Number of connectives :  279 ( 109   ~; 118   |;  45   &)
%                                         (   6 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   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  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   4 con; 0-3 aty)
%            Number of variables   :  182 (   0 sgn 163   !;  19   ?;  50   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X0] :
      ( X0 = empty_set
    <=> ! [X1] : ~ in(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_xboole_0) ).

fof(f4,axiom,
    ! [X0,X1,X2] :
      ( X2 = cartesian_product2(X0,X1)
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ? [X4,X5] :
              ( X3 = ordered_pair(X4,X5)
              & in(X5,X1)
              & in(X4,X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_zfmisc_1) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).

fof(f9,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',l55_zfmisc_1) ).

fof(f13,conjecture,
    ! [X0,X1,X2] :
      ~ ( ~ subset(X1,X2)
        & ( subset(cartesian_product2(X0,X1),cartesian_product2(X0,X2))
          | subset(cartesian_product2(X1,X0),cartesian_product2(X2,X0)) )
        & X0 != empty_set ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t117_zfmisc_1) ).

fof(f14,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ~ ( ~ subset(X1,X2)
          & ( subset(cartesian_product2(X0,X1),cartesian_product2(X0,X2))
            | subset(cartesian_product2(X1,X0),cartesian_product2(X2,X0)) )
          & X0 != empty_set ),
    inference(negated_conjecture,[status(cth)],[f13]) ).

fof(f16,plain,
    ? [X0,X1,X2] :
      ( ~ subset(X1,X2)
      & ( subset(cartesian_product2(X0,X1),cartesian_product2(X0,X2))
        | subset(cartesian_product2(X1,X0),cartesian_product2(X2,X0)) )
      & X0 != empty_set ),
    inference(ennf_transformation,[],[f14]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( ~ in(X2,X0)
          | in(X2,X1) ) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f19,plain,
    ( ~ subset(sK1,sK2)
    & ( subset(cartesian_product2(sK0,sK1),cartesian_product2(sK0,sK2))
      | subset(cartesian_product2(sK1,sK0),cartesian_product2(sK2,sK0)) )
    & empty_set != sK0 ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f16]) ).

fof(f20,plain,
    ! [X0] :
      ( ( empty_set != X0
        | ! [X1] : ~ in(X1,X0) )
      & ( ? [X1] : in(X1,X0)
        | X0 = empty_set ) ),
    inference(nnf_transformation,[],[f3]) ).

fof(f21,plain,
    ! [X0] :
      ( ( empty_set != X0
        | ! [X2] : ~ in(X2,X0) )
      & ( ? [X1] : in(X1,X0)
        | X0 = empty_set ) ),
    inference(rectify,[],[f20]) ).

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

fof(f23,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,[],[f17]) ).

fof(f24,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,[],[f23]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( ( ~ subset(X0,X1)
        | ! [X3] :
            ( ~ in(X3,X0)
            | in(X3,X1) ) )
      & ( ( in(sK4(X0,X1),X0)
          & ~ in(sK4(X0,X1),X1) )
        | subset(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0,X1))],[f24]) ).

fof(f26,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,[],[f9]) ).

fof(f27,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,[],[f26]) ).

fof(f28,plain,
    ! [X0,X1,X2] :
      ( ( cartesian_product2(X0,X1) != X2
        | ! [X3] :
            ( ( ~ in(X3,X2)
              | ? [X4,X5] :
                  ( X3 = ordered_pair(X4,X5)
                  & in(X5,X1)
                  & in(X4,X0) ) )
            & ( ! [X4,X5] :
                  ( ordered_pair(X4,X5) != X3
                  | ~ in(X5,X1)
                  | ~ in(X4,X0) )
              | in(X3,X2) ) ) )
      & ( ? [X3] :
            ( ( in(X3,X2)
              | ? [X4,X5] :
                  ( X3 = ordered_pair(X4,X5)
                  & in(X5,X1)
                  & in(X4,X0) ) )
            & ( ~ in(X3,X2)
              | ! [X4,X5] :
                  ( ordered_pair(X4,X5) != X3
                  | ~ in(X5,X1)
                  | ~ in(X4,X0) ) ) )
        | X2 = cartesian_product2(X0,X1) ) ),
    inference(nnf_transformation,[],[f4]) ).

fof(f29,plain,
    ! [X0,X1,X2] :
      ( ( cartesian_product2(X0,X1) != X2
        | ! [X8] :
            ( ( ~ in(X8,X2)
              | ? [X11,X12] :
                  ( ordered_pair(X11,X12) = X8
                  & in(X12,X1)
                  & in(X11,X0) ) )
            & ( ! [X9,X10] :
                  ( ordered_pair(X9,X10) != X8
                  | ~ in(X10,X1)
                  | ~ in(X9,X0) )
              | in(X8,X2) ) ) )
      & ( ? [X3] :
            ( ( in(X3,X2)
              | ? [X6,X7] :
                  ( ordered_pair(X6,X7) = X3
                  & in(X7,X1)
                  & in(X6,X0) ) )
            & ( ~ in(X3,X2)
              | ! [X4,X5] :
                  ( ordered_pair(X4,X5) != X3
                  | ~ in(X5,X1)
                  | ~ in(X4,X0) ) ) )
        | X2 = cartesian_product2(X0,X1) ) ),
    inference(rectify,[],[f28]) ).

fof(f30,plain,
    ! [X0,X1,X2] :
      ( ( cartesian_product2(X0,X1) != X2
        | ! [X8] :
            ( ( ~ in(X8,X2)
              | ( ordered_pair(sK8(X0,X1,X8),sK9(X0,X1,X8)) = X8
                & in(sK9(X0,X1,X8),X1)
                & in(sK8(X0,X1,X8),X0) ) )
            & ( ! [X9,X10] :
                  ( ordered_pair(X9,X10) != X8
                  | ~ in(X10,X1)
                  | ~ in(X9,X0) )
              | in(X8,X2) ) ) )
      & ( ( ( in(sK5(X0,X1,X2),X2)
            | ( sK5(X0,X1,X2) = ordered_pair(sK6(X0,X1,X2),sK7(X0,X1,X2))
              & in(sK7(X0,X1,X2),X1)
              & in(sK6(X0,X1,X2),X0) ) )
          & ( ~ in(sK5(X0,X1,X2),X2)
            | ! [X4,X5] :
                ( ordered_pair(X4,X5) != sK5(X0,X1,X2)
                | ~ in(X5,X1)
                | ~ in(X4,X0) ) ) )
        | X2 = cartesian_product2(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8,sK9]),skolemize(X3,sK5(X0,X1,X2)),skolemize(X6,sK6(X0,X1,X2)),skolemize(X7,sK7(X0,X1,X2)),skolemize(X11,sK8(X0,X1,X8)),skolemize(X12,sK9(X0,X1,X8))],[f29]) ).

fof(f33,plain,
    ~ subset(sK1,sK2),
    inference(cnf_transformation,[],[f19]) ).

fof(f34,plain,
    ( subset(cartesian_product2(sK0,sK1),cartesian_product2(sK0,sK2))
    | subset(cartesian_product2(sK1,sK0),cartesian_product2(sK2,sK0)) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f35,plain,
    empty_set != sK0,
    inference(cnf_transformation,[],[f19]) ).

fof(f37,plain,
    ! [X2,X0] :
      ( empty_set != X0
      | ~ in(X2,X0) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f38,plain,
    ! [X0] :
      ( in(sK3(X0),X0)
      | empty_set = X0 ),
    inference(cnf_transformation,[],[f22]) ).

fof(f40,plain,
    ! [X3,X0,X1] :
      ( ~ subset(X0,X1)
      | ~ in(X3,X0)
      | in(X3,X1) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( in(sK4(X0,X1),X0)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( ~ in(sK4(X0,X1),X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f43,plain,
    ! [X2,X3,X0,X1] :
      ( ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
      | in(X1,X3) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f44,plain,
    ! [X2,X3,X0,X1] :
      ( ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
      | in(X0,X2) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f48,plain,
    ! [X2,X0,X1,X8] :
      ( cartesian_product2(X0,X1) != X2
      | ~ in(X8,X2)
      | in(sK8(X0,X1,X8),X0) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f49,plain,
    ! [X2,X10,X0,X1,X8,X9] :
      ( cartesian_product2(X0,X1) != X2
      | ordered_pair(X9,X10) != X8
      | ~ in(X10,X1)
      | ~ in(X9,X0)
      | in(X8,X2) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f52,plain,
    ! [X2,X0,X1] :
      ( in(sK5(X0,X1,X2),X2)
      | in(sK6(X0,X1,X2),X0)
      | cartesian_product2(X0,X1) = X2 ),
    inference(cnf_transformation,[],[f30]) ).

fof(f58,plain,
    ! [X2] : ~ in(X2,empty_set),
    inference(equality_resolution,[],[f37]) ).

fof(f59,plain,
    ! [X2,X10,X0,X1,X9] :
      ( cartesian_product2(X0,X1) != X2
      | ~ in(X10,X1)
      | ~ in(X9,X0)
      | in(ordered_pair(X9,X10),X2) ),
    inference(equality_resolution,[],[f49]) ).

fof(f60,plain,
    ! [X10,X0,X1,X9] :
      ( ~ in(X10,X1)
      | ~ in(X9,X0)
      | in(ordered_pair(X9,X10),cartesian_product2(X0,X1)) ),
    inference(equality_resolution,[],[f59]) ).

fof(f61,plain,
    ! [X0,X1,X8] :
      ( ~ in(X8,cartesian_product2(X0,X1))
      | in(sK8(X0,X1,X8),X0) ),
    inference(equality_resolution,[],[f48]) ).

tcf(c_49,negated_conjecture,
    empty_set != sK0,
    inference(cnf_transformation,[],[f35]) ).

tcf(c_50,negated_conjecture,
    ( subset(cartesian_product2(sK1,sK0),cartesian_product2(sK2,sK0))
    | subset(cartesian_product2(sK0,sK1),cartesian_product2(sK0,sK2)) ),
    inference(cnf_transformation,[],[f34]) ).

tcf(c_51,negated_conjecture,
    ~ subset(sK1,sK2),
    inference(cnf_transformation,[],[f33]) ).

tcf(c_53,plain,
    ! [X0: $i] :
      ( in(sK3(X0),X0)
      | ( X0 = empty_set ) ),
    inference(cnf_transformation,[],[f38]) ).

tcf(c_54,plain,
    ! [X0: $i] : ~ in(X0,empty_set),
    inference(cnf_transformation,[],[f58]) ).

tcf(c_56,plain,
    ! [X0: $i,X1: $i] :
      ( subset(X0,X1)
      | ~ in(sK4(X0,X1),X1) ),
    inference(cnf_transformation,[],[f42]) ).

tcf(c_57,plain,
    ! [X0: $i,X1: $i] :
      ( subset(X0,X1)
      | in(sK4(X0,X1),X0) ),
    inference(cnf_transformation,[],[f41]) ).

tcf(c_58,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( in(X2,X1)
      | ~ in(X2,X0)
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f40]) ).

tcf(c_60,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( in(X0,X2)
      | ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ),
    inference(cnf_transformation,[],[f44]) ).

tcf(c_61,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( in(X1,X3)
      | ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ),
    inference(cnf_transformation,[],[f43]) ).

tcf(c_63,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( in(sK6(X0,X1,X2),X0)
      | in(sK5(X0,X1,X2),X2)
      | ( cartesian_product2(X0,X1) = X2 ) ),
    inference(cnf_transformation,[],[f52]) ).

tcf(c_66,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( in(ordered_pair(X0,X2),cartesian_product2(X1,X3))
      | ~ in(X2,X3)
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f60]) ).

tcf(c_67,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( in(sK8(X1,X2,X0),X1)
      | ~ in(X0,cartesian_product2(X1,X2)) ),
    inference(cnf_transformation,[],[f61]) ).

tcf(c_825,plain,
    ! [X0: $i] :
      ( in(X0,cartesian_product2(sK2,sK0))
      | subset(cartesian_product2(sK0,sK1),cartesian_product2(sK0,sK2))
      | ~ in(X0,cartesian_product2(sK1,sK0)) ),
    inference(superposition,[status(thm)],[c_50,c_58]) ).

tcf(c_969,plain,
    ! [X0: $i,X1: $i] :
      ( in(X0,sK2)
      | subset(cartesian_product2(sK0,sK1),cartesian_product2(sK0,sK2))
      | ~ in(ordered_pair(X0,X1),cartesian_product2(sK1,sK0)) ),
    inference(superposition,[status(thm)],[c_825,c_60]) ).

tcf(c_1011,plain,
    ! [X0: $i,X1: $i] : ~ in(X0,cartesian_product2(empty_set,X1)),
    inference(superposition,[status(thm)],[c_67,c_54]) ).

tcf(c_1079,plain,
    ! [X0: $i] : cartesian_product2(empty_set,X0) = empty_set,
    inference(superposition,[status(thm)],[c_53,c_1011]) ).

tcf(c_1115,plain,
    ! [X0: $i,X1: $i] :
      ( in(X0,sK2)
      | subset(cartesian_product2(sK0,sK1),cartesian_product2(sK0,sK2))
      | ~ in(X1,sK0)
      | ~ in(X0,sK1) ),
    inference(superposition,[status(thm)],[c_66,c_969]) ).

tcf(c_1128,plain,
    ! [X0: $i] :
      ( in(X0,sK2)
      | subset(cartesian_product2(sK0,sK1),cartesian_product2(sK0,sK2))
      | ( empty_set = sK0 )
      | ~ in(X0,sK1) ),
    inference(superposition,[status(thm)],[c_53,c_1115]) ).

tcf(c_1136,plain,
    ! [X0: $i] :
      ( in(X0,sK2)
      | subset(cartesian_product2(sK0,sK1),cartesian_product2(sK0,sK2))
      | ~ in(X0,sK1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1128,c_49]) ).

tcf(c_1150,plain,
    ! [X0: $i] :
      ( subset(X0,sK2)
      | subset(cartesian_product2(sK0,sK1),cartesian_product2(sK0,sK2))
      | ~ in(sK4(X0,sK2),sK1) ),
    inference(superposition,[status(thm)],[c_1136,c_56]) ).

tcf(c_1200,plain,
    ( subset(sK1,sK2)
    | subset(cartesian_product2(sK0,sK1),cartesian_product2(sK0,sK2)) ),
    inference(superposition,[status(thm)],[c_57,c_1150]) ).

tcf(c_1201,plain,
    subset(cartesian_product2(sK0,sK1),cartesian_product2(sK0,sK2)),
    inference(forward_subsumption_resolution,[status(thm)],[c_1200,c_51]) ).

tcf(c_1202,plain,
    ! [X0: $i] :
      ( in(X0,cartesian_product2(sK0,sK2))
      | ~ in(X0,cartesian_product2(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_1201,c_58]) ).

tcf(c_1212,plain,
    ! [X0: $i,X1: $i] :
      ( in(ordered_pair(X0,X1),cartesian_product2(sK0,sK2))
      | ~ in(X1,sK1)
      | ~ in(X0,sK0) ),
    inference(superposition,[status(thm)],[c_66,c_1202]) ).

tcf(c_1238,plain,
    ! [X0: $i,X1: $i] :
      ( in(sK5(empty_set,X0,X1),X1)
      | ( cartesian_product2(empty_set,X0) = X1 ) ),
    inference(superposition,[status(thm)],[c_63,c_54]) ).

tcf(c_1246,plain,
    ! [X0: $i,X1: $i] :
      ( in(sK5(empty_set,X1,X0),X0)
      | ( X0 = empty_set ) ),
    inference(light_normalisation,[status(thm)],[c_1238,c_1079]) ).

tcf(c_1436,plain,
    ! [X0: $i,X1: $i] :
      ( in(X1,sK2)
      | ~ in(X1,sK1)
      | ~ in(X0,sK0) ),
    inference(superposition,[status(thm)],[c_1212,c_61]) ).

tcf(c_1626,plain,
    ! [X0: $i] :
      ( in(X0,sK2)
      | ( empty_set = sK0 )
      | ~ in(X0,sK1) ),
    inference(superposition,[status(thm)],[c_1246,c_1436]) ).

tcf(c_1631,plain,
    ! [X0: $i] :
      ( in(X0,sK2)
      | ~ in(X0,sK1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1626,c_49]) ).

tcf(c_1642,plain,
    ! [X0: $i] :
      ( subset(sK1,X0)
      | in(sK4(sK1,X0),sK2) ),
    inference(superposition,[status(thm)],[c_57,c_1631]) ).

tcf(c_1752,plain,
    subset(sK1,sK2),
    inference(superposition,[status(thm)],[c_1642,c_56]) ).

tcf(c_1754,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_1752,c_51]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : SET964+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.02  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.05/5.74  % Computer : n012.cluster.edu
% 0.05/5.74  % Model    : x86_64 x86_64
% 0.05/5.74  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/5.74  % Memory   : 8046.5625MB
% 0.05/5.74  % OS       : Linux 6.8.0-71-generic
% 0.05/5.74  % CPULimit : 300
% 0.05/5.74  % WCLimit  : 300
% 0.05/5.74  % DateTime : Thu Sep 24 12:27:41 UTC 2026
% 0.05/5.74  % CPUTime  : 
% 0.05/5.74  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.05/5.77  Running first-order theorem proving
% 0.05/5.77  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
% 0.05/5.78  
% 0.05/5.78  % ======== iProver multi-core TPTP/SMT =========
% 0.05/5.78  
% 0.05/5.78  % Detected problem language: tptp
% 0.05/5.79  % Proving...
% 2.52/6.45  % SZS status Started for theBenchmark.p
% 2.52/6.45  % SZS status Theorem for theBenchmark.p
% 2.52/6.45  
% 2.52/6.45  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.52/6.45  
% 2.52/6.45  % ------  iProver source info
% 2.52/6.45  
% 2.52/6.45  % git: date: 2026-07-19 20:42:38 +0200
% 2.52/6.45  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.52/6.45  % git: non_committed_changes: false
% 2.52/6.45  
% 2.52/6.45  % ------ Parsing...
% 2.52/6.45  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 2.52/6.45  
% 2.52/6.45  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e % 
% 2.52/6.45  
% 2.52/6.45  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 2.52/6.45  
% 2.52/6.45  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.52/6.45  % ------ Proving...
% 2.52/6.45  % ------ Problem Properties 
% 2.52/6.45  
% 2.52/6.45  % 
% 2.52/6.45  % clauses                               24
% 2.52/6.45  % conjectures                           3
% 2.52/6.45  % EPR                                   9
% 2.52/6.45  % Horn                                  18
% 2.52/6.45  % unary                                 8
% 2.52/6.45  % binary                                10
% 2.52/6.45  % lits                                  48
% 2.52/6.45  % lits eq                               9
% 2.52/6.45  % fd_pure                               0
% 2.52/6.45  % fd_pseudo                             0
% 2.52/6.45  % fd_cond                               1
% 2.52/6.45  % fd_pseudo_cond                        4
% 2.52/6.45  % AC symbols                            0
% 2.52/6.45  
% 2.52/6.45  % ------ Schedule dynamic 5 is on 
% 2.52/6.45  
% 2.52/6.45  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.52/6.45  
% 2.52/6.45  
% 2.52/6.45  % ------ 
% 2.52/6.45  % Current options:
% 2.52/6.45  % ------ 
% 2.52/6.45  
% 2.52/6.45  
% 2.52/6.45  % 
% 2.52/6.45  
% 2.52/6.45  % ------ Proving...
% 2.52/6.45  % 
% 2.52/6.45  
% 2.52/6.45  % SZS status Theorem for theBenchmark.p
% 2.52/6.45  
% 2.52/6.45  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.52/6.45  
% 2.52/6.45  
%------------------------------------------------------------------------------