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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SET951+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 : n004.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 02:49:11 PM UTC 2026

% Result   : Theorem 3.06s 1.21s
% Output   : CNFRefutation 4.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   62 (  12 unt;   0 def)
%            Number of atoms       :  236 (  67 equ)
%            Maximal formula atoms :   18 (   3 avg)
%            Number of connectives :  297 ( 123   ~; 115   |;  54   &)
%                                         (   4 <=>;   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  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   5 con; 0-3 aty)
%            Number of variables   :  178 (   0 sgn 158   !;  20   ?;  32   :)

% Comments : 
%------------------------------------------------------------------------------
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,X2] :
      ( X2 = set_intersection2(X0,X1)
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ( in(X3,X1)
            & in(X3,X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).

fof(f11,conjecture,
    ! [X0,X1,X2,X3,X4] :
      ~ ( ! [X5,X6] :
            ~ ( in(X6,set_intersection2(X2,X4))
              & in(X5,set_intersection2(X1,X3))
              & X0 = ordered_pair(X5,X6) )
        & in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,X4))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t104_zfmisc_1) ).

fof(f12,negated_conjecture,
    ~ ! [X0,X1,X2,X3,X4] :
        ~ ( ! [X5,X6] :
              ~ ( in(X6,set_intersection2(X2,X4))
                & in(X5,set_intersection2(X1,X3))
                & X0 = ordered_pair(X5,X6) )
          & in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,X4))) ),
    inference(negated_conjecture,[status(cth)],[f11]) ).

fof(f13,axiom,
    ! [X0,X1,X2,X3] :
      ( ordered_pair(X0,X1) = ordered_pair(X2,X3)
     => ( X1 = X3
        & X0 = X2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t33_zfmisc_1) ).

fof(f15,plain,
    ? [X0,X1,X2,X3,X4] :
      ( ! [X5,X6] :
          ( ~ in(X6,set_intersection2(X2,X4))
          | ~ in(X5,set_intersection2(X1,X3))
          | ordered_pair(X5,X6) != X0 )
      & in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,X4))) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f17,plain,
    ! [X0,X1,X2,X3] :
      ( ordered_pair(X0,X1) != ordered_pair(X2,X3)
      | ( X1 = X3
        & X0 = X2 ) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f18,plain,
    ( ! [X5,X6] :
        ( ~ in(X6,set_intersection2(sK2,sK4))
        | ~ in(X5,set_intersection2(sK1,sK3))
        | ordered_pair(X5,X6) != sK0 )
    & in(sK0,set_intersection2(cartesian_product2(sK1,sK2),cartesian_product2(sK3,sK4))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f15]) ).

fof(f19,plain,
    ! [X0,X1,X2] :
      ( ( set_intersection2(X0,X1) != X2
        | ! [X3] :
            ( ( ~ in(X3,X2)
              | ( in(X3,X1)
                & in(X3,X0) ) )
            & ( ~ in(X3,X1)
              | ~ in(X3,X0)
              | in(X3,X2) ) ) )
      & ( ? [X3] :
            ( ( in(X3,X2)
              | ( in(X3,X1)
                & in(X3,X0) ) )
            & ( ~ in(X3,X2)
              | ~ in(X3,X1)
              | ~ in(X3,X0) ) )
        | X2 = set_intersection2(X0,X1) ) ),
    inference(nnf_transformation,[],[f5]) ).

fof(f20,plain,
    ! [X0,X1,X2] :
      ( ( set_intersection2(X0,X1) != X2
        | ! [X3] :
            ( ( ~ in(X3,X2)
              | ( in(X3,X1)
                & in(X3,X0) ) )
            & ( ~ in(X3,X1)
              | ~ in(X3,X0)
              | in(X3,X2) ) ) )
      & ( ? [X3] :
            ( ( in(X3,X2)
              | ( in(X3,X1)
                & in(X3,X0) ) )
            & ( ~ in(X3,X2)
              | ~ in(X3,X1)
              | ~ in(X3,X0) ) )
        | X2 = set_intersection2(X0,X1) ) ),
    inference(flattening,[],[f19]) ).

fof(f21,plain,
    ! [X0,X1,X2] :
      ( ( set_intersection2(X0,X1) != X2
        | ! [X4] :
            ( ( ~ in(X4,X2)
              | ( in(X4,X1)
                & in(X4,X0) ) )
            & ( ~ in(X4,X1)
              | ~ in(X4,X0)
              | in(X4,X2) ) ) )
      & ( ? [X3] :
            ( ( in(X3,X2)
              | ( in(X3,X1)
                & in(X3,X0) ) )
            & ( ~ in(X3,X2)
              | ~ in(X3,X1)
              | ~ in(X3,X0) ) )
        | X2 = set_intersection2(X0,X1) ) ),
    inference(rectify,[],[f20]) ).

fof(f22,plain,
    ! [X0,X1,X2] :
      ( ( set_intersection2(X0,X1) != X2
        | ! [X4] :
            ( ( ~ in(X4,X2)
              | ( in(X4,X1)
                & in(X4,X0) ) )
            & ( ~ in(X4,X1)
              | ~ in(X4,X0)
              | in(X4,X2) ) ) )
      & ( ( ( in(sK5(X0,X1,X2),X2)
            | ( in(sK5(X0,X1,X2),X1)
              & in(sK5(X0,X1,X2),X0) ) )
          & ( ~ in(sK5(X0,X1,X2),X2)
            | ~ in(sK5(X0,X1,X2),X1)
            | ~ in(sK5(X0,X1,X2),X0) ) )
        | X2 = set_intersection2(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X3,sK5(X0,X1,X2))],[f21]) ).

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

fof(f25,plain,
    ! [X0,X1,X2] :
      ( ( cartesian_product2(X0,X1) != X2
        | ! [X8] :
            ( ( ~ in(X8,X2)
              | ( ordered_pair(sK9(X0,X1,X8),sK10(X0,X1,X8)) = X8
                & in(sK10(X0,X1,X8),X1)
                & in(sK9(X0,X1,X8),X0) ) )
            & ( ! [X9,X10] :
                  ( ordered_pair(X9,X10) != X8
                  | ~ in(X10,X1)
                  | ~ in(X9,X0) )
              | in(X8,X2) ) ) )
      & ( ( ( in(sK6(X0,X1,X2),X2)
            | ( sK6(X0,X1,X2) = ordered_pair(sK7(X0,X1,X2),sK8(X0,X1,X2))
              & in(sK8(X0,X1,X2),X1)
              & in(sK7(X0,X1,X2),X0) ) )
          & ( ~ in(sK6(X0,X1,X2),X2)
            | ! [X4,X5] :
                ( ordered_pair(X4,X5) != sK6(X0,X1,X2)
                | ~ in(X5,X1)
                | ~ in(X4,X0) ) ) )
        | X2 = cartesian_product2(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9,sK10]),skolemize(X3,sK6(X0,X1,X2)),skolemize(X6,sK7(X0,X1,X2)),skolemize(X7,sK8(X0,X1,X2)),skolemize(X11,sK9(X0,X1,X8)),skolemize(X12,sK10(X0,X1,X8))],[f24]) ).

fof(f26,plain,
    ! [X6,X5] :
      ( ~ in(X6,set_intersection2(sK2,sK4))
      | ~ in(X5,set_intersection2(sK1,sK3))
      | ordered_pair(X5,X6) != sK0 ),
    inference(cnf_transformation,[],[f18]) ).

fof(f27,plain,
    in(sK0,set_intersection2(cartesian_product2(sK1,sK2),cartesian_product2(sK3,sK4))),
    inference(cnf_transformation,[],[f18]) ).

fof(f28,plain,
    ! [X2,X0,X1,X4] :
      ( set_intersection2(X0,X1) != X2
      | ~ in(X4,X2)
      | in(X4,X1) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f29,plain,
    ! [X2,X0,X1,X4] :
      ( set_intersection2(X0,X1) != X2
      | ~ in(X4,X2)
      | in(X4,X0) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f30,plain,
    ! [X2,X0,X1,X4] :
      ( set_intersection2(X0,X1) != X2
      | ~ in(X4,X1)
      | ~ in(X4,X0)
      | in(X4,X2) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f37,plain,
    ! [X2,X0,X1,X8] :
      ( cartesian_product2(X0,X1) != X2
      | ~ in(X8,X2)
      | ordered_pair(sK9(X0,X1,X8),sK10(X0,X1,X8)) = X8 ),
    inference(cnf_transformation,[],[f25]) ).

fof(f38,plain,
    ! [X2,X0,X1,X8] :
      ( cartesian_product2(X0,X1) != X2
      | ~ in(X8,X2)
      | in(sK10(X0,X1,X8),X1) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f39,plain,
    ! [X2,X0,X1,X8] :
      ( cartesian_product2(X0,X1) != X2
      | ~ in(X8,X2)
      | in(sK9(X0,X1,X8),X0) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f45,plain,
    ! [X2,X3,X0,X1] :
      ( ordered_pair(X0,X1) != ordered_pair(X2,X3)
      | X1 = X3 ),
    inference(cnf_transformation,[],[f17]) ).

fof(f46,plain,
    ! [X2,X3,X0,X1] :
      ( ordered_pair(X0,X1) != ordered_pair(X2,X3)
      | X0 = X2 ),
    inference(cnf_transformation,[],[f17]) ).

fof(f47,plain,
    ! [X0,X1,X4] :
      ( ~ in(X4,X1)
      | ~ in(X4,X0)
      | in(X4,set_intersection2(X0,X1)) ),
    inference(equality_resolution,[],[f30]) ).

fof(f48,plain,
    ! [X0,X1,X4] :
      ( ~ in(X4,set_intersection2(X0,X1))
      | in(X4,X0) ),
    inference(equality_resolution,[],[f29]) ).

fof(f49,plain,
    ! [X0,X1,X4] :
      ( ~ in(X4,set_intersection2(X0,X1))
      | in(X4,X1) ),
    inference(equality_resolution,[],[f28]) ).

fof(f52,plain,
    ! [X0,X1,X8] :
      ( ~ in(X8,cartesian_product2(X0,X1))
      | in(sK9(X0,X1,X8),X0) ),
    inference(equality_resolution,[],[f39]) ).

fof(f53,plain,
    ! [X0,X1,X8] :
      ( ~ in(X8,cartesian_product2(X0,X1))
      | in(sK10(X0,X1,X8),X1) ),
    inference(equality_resolution,[],[f38]) ).

fof(f54,plain,
    ! [X0,X1,X8] :
      ( ~ in(X8,cartesian_product2(X0,X1))
      | ordered_pair(sK9(X0,X1,X8),sK10(X0,X1,X8)) = X8 ),
    inference(equality_resolution,[],[f37]) ).

tcf(c_49,negated_conjecture,
    in(sK0,set_intersection2(cartesian_product2(sK1,sK2),cartesian_product2(sK3,sK4))),
    inference(cnf_transformation,[],[f27]) ).

tcf(c_50,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( ~ in(X1,set_intersection2(sK2,sK4))
      | ~ in(X0,set_intersection2(sK1,sK3))
      | ( ordered_pair(X0,X1) != sK0 ) ),
    inference(cnf_transformation,[],[f26]) ).

tcf(c_54,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( in(X0,set_intersection2(X1,X2))
      | ~ in(X0,X2)
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f47]) ).

tcf(c_55,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( in(X0,X1)
      | ~ in(X0,set_intersection2(X1,X2)) ),
    inference(cnf_transformation,[],[f48]) ).

tcf(c_56,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( in(X0,X2)
      | ~ in(X0,set_intersection2(X1,X2)) ),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_65,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( in(sK9(X1,X2,X0),X1)
      | ~ in(X0,cartesian_product2(X1,X2)) ),
    inference(cnf_transformation,[],[f52]) ).

tcf(c_66,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( in(sK10(X1,X2,X0),X2)
      | ~ in(X0,cartesian_product2(X1,X2)) ),
    inference(cnf_transformation,[],[f53]) ).

tcf(c_67,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ordered_pair(sK9(X1,X2,X0),sK10(X1,X2,X0)) = X0 )
      | ~ in(X0,cartesian_product2(X1,X2)) ),
    inference(cnf_transformation,[],[f54]) ).

tcf(c_68,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X0 = X2 )
      | ( ordered_pair(X0,X1) != ordered_pair(X2,X3) ) ),
    inference(cnf_transformation,[],[f46]) ).

tcf(c_69,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X1 = X3 )
      | ( ordered_pair(X0,X1) != ordered_pair(X2,X3) ) ),
    inference(cnf_transformation,[],[f45]) ).

tcf(c_590,plain,
    in(sK0,cartesian_product2(sK1,sK2)),
    inference(superposition,[status(thm)],[c_49,c_55]) ).

tcf(c_599,plain,
    in(sK0,cartesian_product2(sK3,sK4)),
    inference(superposition,[status(thm)],[c_49,c_56]) ).

tcf(c_842,plain,
    ( in(sK10(sK1,sK2,sK0),sK2)
    | ~ in(sK0,cartesian_product2(sK1,sK2)) ),
    inference(instantiation,[status(thm)],[c_66]) ).

tcf(c_843,plain,
    ( in(sK9(sK1,sK2,sK0),sK1)
    | ~ in(sK0,cartesian_product2(sK1,sK2)) ),
    inference(instantiation,[status(thm)],[c_65]) ).

tcf(c_1164,plain,
    ordered_pair(sK9(sK1,sK2,sK0),sK10(sK1,sK2,sK0)) = sK0,
    inference(superposition,[status(thm)],[c_590,c_67]) ).

tcf(c_1165,plain,
    ordered_pair(sK9(sK3,sK4,sK0),sK10(sK3,sK4,sK0)) = sK0,
    inference(superposition,[status(thm)],[c_599,c_67]) ).

tcf(c_1371,plain,
    ( ~ in(sK10(sK1,sK2,sK0),set_intersection2(sK2,sK4))
    | ~ in(sK9(sK1,sK2,sK0),set_intersection2(sK1,sK3)) ),
    inference(superposition,[status(thm)],[c_1164,c_50]) ).

tcf(c_1375,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK10(sK1,sK2,sK0) = X1 )
      | ( ordered_pair(X0,X1) != sK0 ) ),
    inference(superposition,[status(thm)],[c_1164,c_69]) ).

tcf(c_1376,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK9(sK1,sK2,sK0) = X0 )
      | ( ordered_pair(X0,X1) != sK0 ) ),
    inference(superposition,[status(thm)],[c_1164,c_68]) ).

tcf(c_1489,plain,
    sK10(sK1,sK2,sK0) = sK10(sK3,sK4,sK0),
    inference(superposition,[status(thm)],[c_1165,c_1375]) ).

tcf(c_1490,plain,
    ordered_pair(sK9(sK3,sK4,sK0),sK10(sK1,sK2,sK0)) = sK0,
    inference(demodulation,[status(thm)],[c_1165,c_1489]) ).

tcf(c_1514,plain,
    ( in(sK10(sK1,sK2,sK0),sK4)
    | ~ in(sK0,cartesian_product2(sK3,sK4)) ),
    inference(superposition,[status(thm)],[c_1489,c_66]) ).

tcf(c_1516,plain,
    in(sK10(sK1,sK2,sK0),sK4),
    inference(forward_subsumption_resolution,[status(thm)],[c_1514,c_599]) ).

tcf(c_1522,plain,
    ( ~ in(sK9(sK1,sK2,sK0),sK3)
    | ~ in(sK9(sK1,sK2,sK0),sK1)
    | ~ in(sK10(sK1,sK2,sK0),set_intersection2(sK2,sK4)) ),
    inference(superposition,[status(thm)],[c_54,c_1371]) ).

tcf(c_1541,plain,
    ( ~ in(sK9(sK1,sK2,sK0),sK3)
    | ~ in(sK10(sK1,sK2,sK0),set_intersection2(sK2,sK4)) ),
    inference(global_subsumption_just,[status(thm)],[c_1522,c_590,c_843,c_1522]) ).

tcf(c_1547,plain,
    ( ~ in(sK10(sK1,sK2,sK0),sK4)
    | ~ in(sK10(sK1,sK2,sK0),sK2)
    | ~ in(sK9(sK1,sK2,sK0),sK3) ),
    inference(superposition,[status(thm)],[c_54,c_1541]) ).

tcf(c_1548,plain,
    ( ~ in(sK10(sK1,sK2,sK0),sK2)
    | ~ in(sK9(sK1,sK2,sK0),sK3) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1547,c_1516]) ).

tcf(c_1582,plain,
    sK9(sK1,sK2,sK0) = sK9(sK3,sK4,sK0),
    inference(superposition,[status(thm)],[c_1490,c_1376]) ).

tcf(c_1646,plain,
    ~ in(sK9(sK1,sK2,sK0),sK3),
    inference(global_subsumption_just,[status(thm)],[c_1548,c_590,c_842,c_1548]) ).

tcf(c_1656,plain,
    ( in(sK9(sK1,sK2,sK0),sK3)
    | ~ in(sK0,cartesian_product2(sK3,sK4)) ),
    inference(superposition,[status(thm)],[c_1582,c_65]) ).

tcf(c_1658,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_1656,c_1646,c_599]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET951+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.38  % Computer : n004.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Thu Sep 24 12:26:06 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.42  Running first-order theorem proving
% 0.11/0.42  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
% 0.11/0.43  
% 0.11/0.43  % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43  
% 0.11/0.43  % Detected problem language: tptp
% 0.11/0.45  % Proving...
% 3.06/1.21  % SZS status Started for theBenchmark.p
% 3.06/1.21  % SZS status Theorem for theBenchmark.p
% 3.06/1.21  
% 3.06/1.21  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.06/1.21  
% 3.06/1.21  % ------  iProver source info
% 3.06/1.21  
% 3.06/1.21  % git: date: 2026-07-19 20:42:38 +0200
% 3.06/1.21  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.06/1.21  % git: non_committed_changes: false
% 3.06/1.21  
% 3.06/1.21  % ------ Parsing...
% 3.06/1.21  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 3.06/1.21  
% 3.06/1.21  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e % 
% 3.06/1.21  
% 3.06/1.21  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 3.06/1.21  
% 3.06/1.21  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.06/1.21  % ------ Proving...
% 3.06/1.21  % ------ Problem Properties 
% 3.06/1.21  
% 3.06/1.21  % 
% 3.06/1.21  % clauses                               21
% 3.06/1.21  % conjectures                           2
% 3.06/1.21  % EPR                                   1
% 3.06/1.21  % Horn                                  16
% 3.06/1.21  % unary                                 3
% 3.06/1.21  % binary                                8
% 3.06/1.21  % lits                                  52
% 3.06/1.21  % lits eq                               17
% 3.06/1.21  % fd_pure                               0
% 3.06/1.21  % fd_pseudo                             0
% 3.06/1.21  % fd_cond                               0
% 3.06/1.21  % fd_pseudo_cond                        9
% 3.06/1.21  % AC symbols                            0
% 3.06/1.21  
% 3.06/1.21  % ------ Schedule dynamic 5 is on 
% 3.06/1.21  
% 3.06/1.21  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.06/1.21  
% 3.06/1.21  
% 3.06/1.21  % ------ 
% 3.06/1.21  % Current options:
% 3.06/1.21  % ------ 
% 3.06/1.21  
% 3.06/1.21  
% 3.06/1.21  % 
% 3.06/1.21  
% 3.06/1.21  % ------ Proving...
% 3.06/1.21  % 
% 3.06/1.21  
% 3.06/1.21  % SZS status Theorem for theBenchmark.p
% 3.06/1.21  
% 3.06/1.21  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.11/1.21  
% 4.11/1.21  
%------------------------------------------------------------------------------