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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SEU171+1 : TPTP v9.3.1. Released v3.3.0.
% 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 02:55:44 PM UTC 2026

% Result   : Theorem 4.06s 1.52s
% Output   : CNFRefutation 4.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   86 (  34 unt;   2 def)
%            Number of atoms       :  241 (  41 equ)
%            Maximal formula atoms :   14 (   2 avg)
%            Number of connectives :  247 ( 101   ~;  86   |;  41   &)
%                                         (   6 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-3 aty)
%            Number of variables   :  125 (   0 sgn 115   !;  10   ?;  34   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X0,X1] :
      ( ( empty(X0)
       => ( element(X1,X0)
        <=> empty(X1) ) )
      & ( ~ empty(X0)
       => ( element(X1,X0)
        <=> in(X1,X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_subset_1) ).

fof(f3,axiom,
    ! [X0,X1,X2] :
      ( X2 = set_difference(X0,X1)
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ( ~ in(X3,X1)
            & in(X3,X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( element(X1,powerset(X0))
     => subset_complement(X0,X1) = set_difference(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_subset_1) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( element(X1,powerset(X0))
     => element(subset_complement(X0,X1),powerset(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_subset_1) ).

fof(f10,axiom,
    ! [X0] :
    ? [X1] : element(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).

fof(f12,axiom,
    empty(empty_set),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).

fof(f13,axiom,
    ! [X0,X1] :
      ( element(X1,powerset(X0))
     => subset_complement(X0,subset_complement(X0,X1)) = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutiveness_k3_subset_1) ).

fof(f20,conjecture,
    ! [X0] :
      ( X0 != empty_set
     => ! [X1] :
          ( element(X1,powerset(X0))
         => ! [X2] :
              ( element(X2,X0)
             => ( ~ in(X2,X1)
               => in(X2,subset_complement(X0,X1)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t50_subset_1) ).

fof(f21,negated_conjecture,
    ~ ! [X0] :
        ( X0 != empty_set
       => ! [X1] :
            ( element(X1,powerset(X0))
           => ! [X2] :
                ( element(X2,X0)
               => ( ~ in(X2,X1)
                 => in(X2,subset_complement(X0,X1)) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f20]) ).

fof(f23,axiom,
    ! [X0,X1] :
      ~ ( empty(X1)
        & in(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).

fof(f24,axiom,
    ! [X0,X1] :
      ~ ( empty(X1)
        & X0 != X1
        & empty(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).

fof(f26,plain,
    ! [X0,X1] :
      ( ( ~ empty(X0)
        | ( element(X1,X0)
        <=> empty(X1) ) )
      & ( empty(X0)
        | ( element(X1,X0)
        <=> in(X1,X0) ) ) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( ~ element(X1,powerset(X0))
      | subset_complement(X0,X1) = set_difference(X0,X1) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( ~ element(X1,powerset(X0))
      | element(subset_complement(X0,X1),powerset(X0)) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ~ element(X1,powerset(X0))
      | subset_complement(X0,subset_complement(X0,X1)) = X1 ),
    inference(ennf_transformation,[],[f13]) ).

fof(f31,plain,
    ? [X0] :
      ( X0 != empty_set
      & ? [X1] :
          ( element(X1,powerset(X0))
          & ? [X2] :
              ( element(X2,X0)
              & ~ in(X2,X1)
              & ~ in(X2,subset_complement(X0,X1)) ) ) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f32,plain,
    ? [X0] :
      ( X0 != empty_set
      & ? [X1] :
          ( element(X1,powerset(X0))
          & ? [X2] :
              ( element(X2,X0)
              & ~ in(X2,X1)
              & ~ in(X2,subset_complement(X0,X1)) ) ) ),
    inference(flattening,[],[f31]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( ~ empty(X1)
      | ~ in(X0,X1) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( ~ empty(X1)
      | X0 = X1
      | ~ empty(X0) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( ( ~ empty(X0)
        | ( ( ~ element(X1,X0)
            | empty(X1) )
          & ( ~ empty(X1)
            | element(X1,X0) ) ) )
      & ( empty(X0)
        | ( ( ~ element(X1,X0)
            | in(X1,X0) )
          & ( ~ in(X1,X0)
            | element(X1,X0) ) ) ) ),
    inference(nnf_transformation,[],[f26]) ).

fof(f37,plain,
    ! [X0,X1,X2] :
      ( ( set_difference(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_difference(X0,X1) ) ),
    inference(nnf_transformation,[],[f3]) ).

fof(f38,plain,
    ! [X0,X1,X2] :
      ( ( set_difference(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_difference(X0,X1) ) ),
    inference(flattening,[],[f37]) ).

fof(f39,plain,
    ! [X0,X1,X2] :
      ( ( set_difference(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_difference(X0,X1) ) ),
    inference(rectify,[],[f38]) ).

fof(f40,plain,
    ! [X0,X1,X2] :
      ( ( set_difference(X0,X1) != X2
        | ! [X4] :
            ( ( ~ in(X4,X2)
              | ( ~ in(X4,X1)
                & in(X4,X0) ) )
            & ( in(X4,X1)
              | ~ in(X4,X0)
              | in(X4,X2) ) ) )
      & ( ( ( in(sK0(X0,X1,X2),X2)
            | ( ~ in(sK0(X0,X1,X2),X1)
              & in(sK0(X0,X1,X2),X0) ) )
          & ( ~ in(sK0(X0,X1,X2),X2)
            | in(sK0(X0,X1,X2),X1)
            | ~ in(sK0(X0,X1,X2),X0) ) )
        | X2 = set_difference(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1,X2))],[f39]) ).

fof(f41,plain,
    ! [X0] : element(sK1(X0),X0),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X1,sK1(X0))],[f10]) ).

fof(f46,plain,
    ( empty_set != sK6
    & element(sK7,powerset(sK6))
    & element(sK8,sK6)
    & ~ in(sK8,sK7)
    & ~ in(sK8,subset_complement(sK6,sK7)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8]),skolemize(X0,sK6),skolemize(X1,sK7),skolemize(X2,sK8)],[f32]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( empty(X0)
      | ~ element(X1,X0)
      | in(X1,X0) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f53,plain,
    ! [X2,X0,X1,X4] :
      ( set_difference(X0,X1) != X2
      | ~ in(X4,X2)
      | in(X4,X0) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f54,plain,
    ! [X2,X0,X1,X4] :
      ( set_difference(X0,X1) != X2
      | in(X4,X1)
      | ~ in(X4,X0)
      | in(X4,X2) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( ~ element(X1,powerset(X0))
      | set_difference(X0,X1) = subset_complement(X0,X1) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( ~ element(X1,powerset(X0))
      | element(subset_complement(X0,X1),powerset(X0)) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f60,plain,
    ! [X0] : element(sK1(X0),X0),
    inference(cnf_transformation,[],[f41]) ).

fof(f62,plain,
    empty(empty_set),
    inference(cnf_transformation,[],[f12]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( ~ element(X1,powerset(X0))
      | subset_complement(X0,subset_complement(X0,X1)) = X1 ),
    inference(cnf_transformation,[],[f29]) ).

fof(f72,plain,
    empty_set != sK6,
    inference(cnf_transformation,[],[f46]) ).

fof(f73,plain,
    element(sK7,powerset(sK6)),
    inference(cnf_transformation,[],[f46]) ).

fof(f74,plain,
    element(sK8,sK6),
    inference(cnf_transformation,[],[f46]) ).

fof(f75,plain,
    ~ in(sK8,sK7),
    inference(cnf_transformation,[],[f46]) ).

fof(f76,plain,
    ~ in(sK8,subset_complement(sK6,sK7)),
    inference(cnf_transformation,[],[f46]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( ~ empty(X1)
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( ~ empty(X1)
      | X0 = X1
      | ~ empty(X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f80,plain,
    ! [X0,X1,X4] :
      ( in(X4,X1)
      | ~ in(X4,X0)
      | in(X4,set_difference(X0,X1)) ),
    inference(equality_resolution,[],[f54]) ).

fof(f81,plain,
    ! [X0,X1,X4] :
      ( ~ in(X4,set_difference(X0,X1))
      | in(X4,X0) ),
    inference(equality_resolution,[],[f53]) ).

tcf(c_51,plain,
    ! [X0: $i,X1: $i] :
      ( empty(X1)
      | in(X0,X1)
      | ~ element(X0,X1) ),
    inference(cnf_transformation,[],[f50]) ).

tcf(c_57,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( in(X0,X2)
      | in(X0,set_difference(X1,X2))
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f80]) ).

tcf(c_58,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( in(X0,X1)
      | ~ in(X0,set_difference(X1,X2)) ),
    inference(cnf_transformation,[],[f81]) ).

tcf(c_60,plain,
    ! [X0: $i,X1: $i] :
      ( ( set_difference(X1,X0) = subset_complement(X1,X0) )
      | ~ element(X0,powerset(X1)) ),
    inference(cnf_transformation,[],[f58]) ).

tcf(c_61,plain,
    ! [X0: $i,X1: $i] :
      ( element(subset_complement(X1,X0),powerset(X1))
      | ~ element(X0,powerset(X1)) ),
    inference(cnf_transformation,[],[f59]) ).

tcf(c_62,plain,
    ! [X0: $i] : element(sK1(X0),X0),
    inference(cnf_transformation,[],[f60]) ).

tcf(c_64,plain,
    empty(empty_set),
    inference(cnf_transformation,[],[f62]) ).

tcf(c_65,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset_complement(X1,subset_complement(X1,X0)) = X0 )
      | ~ element(X0,powerset(X1)) ),
    inference(cnf_transformation,[],[f63]) ).

tcf(c_74,negated_conjecture,
    ~ in(sK8,subset_complement(sK6,sK7)),
    inference(cnf_transformation,[],[f76]) ).

tcf(c_75,negated_conjecture,
    ~ in(sK8,sK7),
    inference(cnf_transformation,[],[f75]) ).

tcf(c_76,negated_conjecture,
    element(sK8,sK6),
    inference(cnf_transformation,[],[f74]) ).

tcf(c_77,negated_conjecture,
    element(sK7,powerset(sK6)),
    inference(cnf_transformation,[],[f73]) ).

tcf(c_78,negated_conjecture,
    empty_set != sK6,
    inference(cnf_transformation,[],[f72]) ).

tcf(c_80,plain,
    ! [X0: $i,X1: $i] :
      ( ~ empty(X1)
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f78]) ).

tcf(c_81,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ~ empty(X1)
      | ~ empty(X0) ),
    inference(cnf_transformation,[],[f79]) ).

tcf(c_320,definition,
    iPr_def_10 = powerset(sK6),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_321,definition,
    iPr_def_11 = subset_complement(sK6,sK7),
    introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).

tcf(c_323,negated_conjecture,
    element(sK7,iPr_def_10),
    inference(demodulation,[status(thm)],[c_77,c_320]) ).

tcf(c_324,negated_conjecture,
    element(sK8,sK6),
    inference(demodulation,[status(thm)],[c_76]) ).

tcf(c_325,negated_conjecture,
    ~ in(sK8,sK7),
    inference(demodulation,[status(thm)],[c_75]) ).

tcf(c_326,negated_conjecture,
    ~ in(sK8,iPr_def_11),
    inference(demodulation,[status(thm)],[c_74,c_321]) ).

tcf(c_730,plain,
    ! [X0: $i] :
      ( empty(X0)
      | in(sK1(X0),X0) ),
    inference(superposition,[status(thm)],[c_62,c_51]) ).

tcf(c_732,plain,
    ( empty(sK6)
    | in(sK8,sK6) ),
    inference(superposition,[status(thm)],[c_324,c_51]) ).

tcf(c_846,plain,
    ! [X0: $i,X1: $i] :
      ( empty(set_difference(X0,X1))
      | in(sK1(set_difference(X0,X1)),X0) ),
    inference(superposition,[status(thm)],[c_730,c_58]) ).

tcf(c_999,plain,
    ! [X0: $i] : set_difference(X0,sK1(powerset(X0))) = subset_complement(X0,sK1(powerset(X0))),
    inference(superposition,[status(thm)],[c_62,c_60]) ).

tcf(c_1002,plain,
    ! [X0: $i] :
      ( ( set_difference(sK6,X0) = subset_complement(sK6,X0) )
      | ~ element(X0,iPr_def_10) ),
    inference(superposition,[status(thm)],[c_320,c_60]) ).

tcf(c_1018,plain,
    ( ( empty_set = sK6 )
    | ~ empty(sK6)
    | ~ empty(empty_set) ),
    inference(instantiation,[status(thm)],[c_81]) ).

tcf(c_1027,plain,
    ! [X0: $i] : subset_complement(X0,subset_complement(X0,sK1(powerset(X0)))) = sK1(powerset(X0)),
    inference(superposition,[status(thm)],[c_62,c_65]) ).

tcf(c_1036,plain,
    ! [X0: $i] : subset_complement(X0,set_difference(X0,sK1(powerset(X0)))) = sK1(powerset(X0)),
    inference(light_normalisation,[status(thm)],[c_1027,c_999]) ).

tcf(c_1095,plain,
    ! [X0: $i] :
      ( element(set_difference(X0,sK1(powerset(X0))),powerset(X0))
      | ~ element(sK1(powerset(X0)),powerset(X0)) ),
    inference(superposition,[status(thm)],[c_999,c_61]) ).

tcf(c_1096,plain,
    ! [X0: $i] : element(set_difference(X0,sK1(powerset(X0))),powerset(X0)),
    inference(forward_subsumption_resolution,[status(thm)],[c_1095,c_62]) ).

tcf(c_1205,plain,
    ! [X0: $i] : set_difference(X0,set_difference(X0,sK1(powerset(X0)))) = subset_complement(X0,set_difference(X0,sK1(powerset(X0)))),
    inference(superposition,[status(thm)],[c_1096,c_60]) ).

tcf(c_1207,plain,
    ! [X0: $i] : set_difference(X0,set_difference(X0,sK1(powerset(X0)))) = sK1(powerset(X0)),
    inference(light_normalisation,[status(thm)],[c_1205,c_1036]) ).

tcf(c_1288,plain,
    ! [X0: $i,X1: $i] :
      ( empty(set_difference(X0,X1))
      | ~ empty(X0) ),
    inference(superposition,[status(thm)],[c_846,c_80]) ).

tcf(c_1511,plain,
    ! [X0: $i] :
      ( empty(sK1(powerset(X0)))
      | ~ empty(X0) ),
    inference(superposition,[status(thm)],[c_1207,c_1288]) ).

tcf(c_1697,plain,
    ( empty(sK1(iPr_def_10))
    | ~ empty(sK6) ),
    inference(superposition,[status(thm)],[c_320,c_1511]) ).

tcf(c_1735,plain,
    ~ empty(sK6),
    inference(global_subsumption_just,[status(thm)],[c_1697,c_64,c_78,c_1018]) ).

tcf(c_1740,plain,
    in(sK8,sK6),
    inference(backward_subsumption_resolution,[status(thm)],[c_732,c_1735]) ).

tcf(c_2868,plain,
    set_difference(sK6,sK7) = subset_complement(sK6,sK7),
    inference(superposition,[status(thm)],[c_323,c_1002]) ).

tcf(c_2879,plain,
    set_difference(sK6,sK7) = iPr_def_11,
    inference(light_normalisation,[status(thm)],[c_2868,c_321]) ).

tcf(c_2930,plain,
    ! [X0: $i] :
      ( in(X0,iPr_def_11)
      | in(X0,sK7)
      | ~ in(X0,sK6) ),
    inference(superposition,[status(thm)],[c_2879,c_57]) ).

tcf(c_3208,plain,
    ( in(sK8,iPr_def_11)
    | in(sK8,sK7) ),
    inference(superposition,[status(thm)],[c_1740,c_2930]) ).

tcf(c_3215,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_3208,c_326,c_325]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SEU171+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.07  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.19/0.44  % Computer : n011.cluster.edu
% 0.19/0.44  % Model    : x86_64 x86_64
% 0.19/0.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44  % Memory   : 8046.5625MB
% 0.19/0.44  % OS       : Linux 6.8.0-71-generic
% 0.19/0.44  % CPULimit : 300
% 0.19/0.44  % WCLimit  : 300
% 0.19/0.44  % DateTime : Thu Sep 24 13:02:27 UTC 2026
% 0.19/0.44  % CPUTime  : 
% 0.19/0.44  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.22/0.50  Running first-order theorem proving
% 0.22/0.50  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
% 0.22/0.52  
% 0.22/0.52  % ======== iProver multi-core TPTP/SMT =========
% 0.22/0.52  
% 0.22/0.52  % Detected problem language: tptp
% 0.22/0.54  % Proving...
% 4.06/1.52  % SZS status Started for theBenchmark.p
% 4.06/1.52  % SZS status Theorem for theBenchmark.p
% 4.06/1.52  
% 4.06/1.52  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.06/1.52  
% 4.06/1.52  % ------  iProver source info
% 4.06/1.52  
% 4.06/1.52  % git: date: 2026-07-19 20:42:38 +0200
% 4.06/1.52  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.06/1.52  % git: non_committed_changes: false
% 4.06/1.52  
% 4.06/1.52  % ------ Parsing...
% 4.06/1.52  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 4.06/1.52  
% 4.06/1.52  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e % 
% 4.06/1.52  
% 4.06/1.52  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 4.06/1.52  
% 4.06/1.52  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.06/1.52  % ------ Proving...
% 4.06/1.52  % ------ Problem Properties 
% 4.06/1.52  
% 4.06/1.52  % 
% 4.06/1.52  % clauses                               35
% 4.06/1.52  % conjectures                           5
% 4.06/1.52  % EPR                                   16
% 4.06/1.52  % Horn                                  29
% 4.06/1.52  % unary                                 16
% 4.06/1.52  % binary                                11
% 4.06/1.52  % lits                                  63
% 4.06/1.52  % lits eq                               12
% 4.06/1.52  % fd_pure                               0
% 4.06/1.52  % fd_pseudo                             0
% 4.06/1.52  % fd_cond                               1
% 4.06/1.52  % fd_pseudo_cond                        4
% 4.06/1.52  % AC symbols                            0
% 4.06/1.52  
% 4.06/1.52  % ------ Schedule dynamic 5 is on 
% 4.06/1.52  
% 4.06/1.52  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.06/1.52  
% 4.06/1.52  
% 4.06/1.52  % ------ 
% 4.06/1.52  % Current options:
% 4.06/1.52  % ------ 
% 4.06/1.52  
% 4.06/1.52  
% 4.06/1.52  % 
% 4.06/1.52  
% 4.06/1.52  % ------ Proving...
% 4.06/1.52  % 
% 4.06/1.52  
% 4.06/1.52  % SZS status Theorem for theBenchmark.p
% 4.06/1.52  
% 4.06/1.52  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.06/1.52  
% 4.06/1.52  
%------------------------------------------------------------------------------