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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SEU284+1 : TPTP v9.3.1. Released v3.3.0.
% 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 02:56:29 PM UTC 2026

% Result   : Theorem 3.27s 16.30s
% Output   : CNFRefutation 3.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   34
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   72 (   8 unt;   1 def)
%            Number of atoms       :  248 ( 113 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  274 (  98   ~; 111   |;  57   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   1 con; 0-2 aty)
%            Number of variables   :  106 (   0 sgn  80   !;  26   ?;  22   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ! [X0] :
    ? [X1] :
      ( ! [X2] :
          ( in(X2,X0)
         => apply(X1,X2) = singleton(X2) )
      & relation_dom(X1) = X0
      & function(X1)
      & relation(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_funct_1__e16_22__wellord2) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
      ? [X1] :
        ( ! [X2] :
            ( in(X2,X0)
           => apply(X1,X2) = singleton(X2) )
        & relation_dom(X1) = X0
        & function(X1)
        & relation(X1) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f8,axiom,
    ! [X0] :
      ( ( ! [X1] :
            ~ ( ! [X2] : X2 != singleton(X1)
              & in(X1,X0) )
        & ! [X1,X2,X3] :
            ( ( X3 = singleton(X1)
              & X2 = singleton(X1)
              & in(X1,X0) )
           => X2 = X3 ) )
     => ? [X1] :
          ( ! [X2] :
              ( in(X2,X0)
             => apply(X1,X2) = singleton(X2) )
          & relation_dom(X1) = X0
          & function(X1)
          & relation(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s2_funct_1__e16_22__wellord2__1) ).

fof(f29,plain,
    ! [X0] :
      ( ( ! [X4] :
            ~ ( ! [X5] : singleton(X4) != X5
              & in(X4,X0) )
        & ! [X1,X2,X3] :
            ( ( X3 = singleton(X1)
              & X2 = singleton(X1)
              & in(X1,X0) )
           => X2 = X3 ) )
     => ? [X6] :
          ( ! [X7] :
              ( in(X7,X0)
             => apply(X6,X7) = singleton(X7) )
          & relation_dom(X6) = X0
          & function(X6)
          & relation(X6) ) ),
    inference(rectify,[],[f8]) ).

fof(f32,plain,
    ? [X0] :
    ! [X1] :
      ( ? [X2] :
          ( in(X2,X0)
          & apply(X1,X2) != singleton(X2) )
      | relation_dom(X1) != X0
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f34,plain,
    ! [X0] :
      ( ? [X4] :
          ( ! [X5] : singleton(X4) != X5
          & in(X4,X0) )
      | ? [X1,X2,X3] :
          ( X3 = singleton(X1)
          & X2 = singleton(X1)
          & in(X1,X0)
          & X2 != X3 )
      | ? [X6] :
          ( ! [X7] :
              ( ~ in(X7,X0)
              | apply(X6,X7) = singleton(X7) )
          & relation_dom(X6) = X0
          & function(X6)
          & relation(X6) ) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f35,plain,
    ! [X0] :
      ( ? [X4] :
          ( ! [X5] : singleton(X4) != X5
          & in(X4,X0) )
      | ? [X1,X2,X3] :
          ( X3 = singleton(X1)
          & X2 = singleton(X1)
          & in(X1,X0)
          & X2 != X3 )
      | ? [X6] :
          ( ! [X7] :
              ( ~ in(X7,X0)
              | apply(X6,X7) = singleton(X7) )
          & relation_dom(X6) = X0
          & function(X6)
          & relation(X6) ) ),
    inference(flattening,[],[f34]) ).

fof(f49,plain,
    ! [X1] :
      ( ( in(sK2(X1),sK1)
        & apply(X1,sK2(X1)) != singleton(sK2(X1)) )
      | relation_dom(X1) != sK1
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X0,sK1),skolemize(X2,sK2(X1))],[f32]) ).

fof(f53,plain,
    ! [X0] :
      ( ? [X3] :
          ( ! [X4] : singleton(X3) != X4
          & in(X3,X0) )
      | sP0(X0)
      | ? [X1] :
          ( ! [X2] :
              ( ~ in(X2,X0)
              | apply(X1,X2) = singleton(X2) )
          & relation_dom(X1) = X0
          & function(X1)
          & relation(X1) ) ),
    inference(rectify,[],[f48]) ).

fof(f54,plain,
    ! [X0] :
      ( ( ! [X4] : singleton(sK8(X0)) != X4
        & in(sK8(X0),X0) )
      | sP0(X0)
      | ( ! [X2] :
            ( ~ in(X2,X0)
            | singleton(X2) = apply(sK7(X0),X2) )
        & relation_dom(sK7(X0)) = X0
        & function(sK7(X0))
        & relation(sK7(X0)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8]),skolemize(X1,sK7(X0)),skolemize(X3,sK8(X0))],[f53]) ).

fof(f61,plain,
    ! [X1] :
      ( in(sK2(X1),sK1)
      | relation_dom(X1) != sK1
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f62,plain,
    ! [X1] :
      ( apply(X1,sK2(X1)) != singleton(sK2(X1))
      | relation_dom(X1) != sK1
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f70,plain,
    ! [X2,X0,X4] :
      ( singleton(sK8(X0)) != X4
      | sP0(X0)
      | ~ in(X2,X0)
      | singleton(X2) = apply(sK7(X0),X2) ),
    inference(cnf_transformation,[],[f54]) ).

fof(f72,plain,
    ! [X0,X4] :
      ( singleton(sK8(X0)) != X4
      | sP0(X0)
      | relation_dom(sK7(X0)) = X0 ),
    inference(cnf_transformation,[],[f54]) ).

fof(f73,plain,
    ! [X0] :
      ( in(sK8(X0),X0)
      | sP0(X0)
      | relation_dom(sK7(X0)) = X0 ),
    inference(cnf_transformation,[],[f54]) ).

fof(f74,plain,
    ! [X0,X4] :
      ( singleton(sK8(X0)) != X4
      | sP0(X0)
      | function(sK7(X0)) ),
    inference(cnf_transformation,[],[f54]) ).

fof(f76,plain,
    ! [X0,X4] :
      ( singleton(sK8(X0)) != X4
      | sP0(X0)
      | relation(sK7(X0)) ),
    inference(cnf_transformation,[],[f54]) ).

fof(f101,plain,
    ! [X0] :
      ( sP0(X0)
      | relation(sK7(X0)) ),
    inference(equality_resolution,[],[f76]) ).

fof(f102,plain,
    ! [X0] :
      ( sP0(X0)
      | function(sK7(X0)) ),
    inference(equality_resolution,[],[f74]) ).

fof(f103,plain,
    ! [X0] :
      ( sP0(X0)
      | relation_dom(sK7(X0)) = X0 ),
    inference(equality_resolution,[],[f72]) ).

fof(f104,plain,
    ! [X2,X0] :
      ( sP0(X0)
      | ~ in(X2,X0)
      | singleton(X2) = apply(sK7(X0),X2) ),
    inference(equality_resolution,[],[f70]) ).

tcf(c_49,negated_conjecture,
    ! [X0: $i] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ( relation_dom(X0) != sK1 )
      | ( apply(X0,sK2(X0)) != singleton(sK2(X0)) ) ),
    inference(cnf_transformation,[],[f62]) ).

tcf(c_50,negated_conjecture,
    ! [X0: $i] :
      ( in(sK2(X0),sK1)
      | ~ function(X0)
      | ~ relation(X0)
      | ( relation_dom(X0) != sK1 ) ),
    inference(cnf_transformation,[],[f61]) ).

tcf(c_59,plain,
    ! [X0: $i] :
      ( sP0(X0)
      | relation(sK7(X0)) ),
    inference(cnf_transformation,[],[f101]) ).

tcf(c_61,plain,
    ! [X0: $i] :
      ( sP0(X0)
      | function(sK7(X0)) ),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_62,plain,
    ! [X0: $i] :
      ( sP0(X0)
      | in(sK8(X0),X0)
      | ( relation_dom(sK7(X0)) = X0 ) ),
    inference(cnf_transformation,[],[f73]) ).

tcf(c_63,plain,
    ! [X0: $i] :
      ( sP0(X0)
      | ( relation_dom(sK7(X0)) = X0 ) ),
    inference(cnf_transformation,[],[f103]) ).

tcf(c_65,plain,
    ! [X0: $i,X1: $i] :
      ( sP0(X1)
      | ( apply(sK7(X1),X0) = singleton(X0) )
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f104]) ).

tcf(c_110,plain,
    ! [X0: $i] :
      ( sP0(X0)
      | ( relation_dom(sK7(X0)) = X0 ) ),
    inference(global_subsumption_just,[status(thm)],[c_62,c_63]) ).

tcf(c_1694,negated_conjecture,
    ! [X0: $i] :
      ( in(sK2(X0),sK1)
      | ~ function(X0)
      | ~ relation(X0)
      | ( relation_dom(X0) != sK1 ) ),
    inference(demodulation,[status(thm)],[c_50]) ).

tcf(c_1695,negated_conjecture,
    ! [X0: $i] :
      ( ~ function(X0)
      | ~ relation(X0)
      | ( relation_dom(X0) != sK1 )
      | ( apply(X0,sK2(X0)) != singleton(sK2(X0)) ) ),
    inference(demodulation,[status(thm)],[c_49]) ).

fof(f47,definition,
    ! [X0] :
      ( ~ sP0(X0)
      | ? [X1,X2,X3] :
          ( X3 = singleton(X1)
          & X2 = singleton(X1)
          & in(X1,X0)
          & X2 != X3 ) ),
    introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).

fof(f48,plain,
    ! [X0] :
      ( ? [X4] :
          ( ! [X5] : singleton(X4) != X5
          & in(X4,X0) )
      | sP0(X0)
      | ? [X6] :
          ( ! [X7] :
              ( ~ in(X7,X0)
              | apply(X6,X7) = singleton(X7) )
          & relation_dom(X6) = X0
          & function(X6)
          & relation(X6) ) ),
    inference(definition_folding,[],[f35,f47]) ).

fof(f51,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | ? [X1,X2,X3] :
          ( X3 = singleton(X1)
          & X2 = singleton(X1)
          & in(X1,X0)
          & X2 != X3 ) ),
    inference(nnf_transformation,[],[f47]) ).

fof(f52,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | ( sK6(X0) = singleton(sK4(X0))
        & sK5(X0) = singleton(sK4(X0))
        & in(sK4(X0),X0)
        & sK5(X0) != sK6(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6]),skolemize(X1,sK4(X0)),skolemize(X2,sK5(X0)),skolemize(X3,sK6(X0))],[f51]) ).

fof(f66,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | sK6(X0) = singleton(sK4(X0)) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f67,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | sK5(X0) = singleton(sK4(X0)) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f69,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | sK5(X0) != sK6(X0) ),
    inference(cnf_transformation,[],[f52]) ).

tcf(c_54,plain,
    ! [X0: $i] :
      ( ~ sP0(X0)
      | ( sK5(X0) != sK6(X0) ) ),
    inference(cnf_transformation,[],[f69]) ).

tcf(c_56,plain,
    ! [X0: $i] :
      ( ( singleton(sK4(X0)) = sK5(X0) )
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f67]) ).

tcf(c_57,plain,
    ! [X0: $i] :
      ( ( singleton(sK4(X0)) = sK6(X0) )
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f66]) ).

tcf(c_482,plain,
    ! [X0: $i,X1: $i] :
      ( ( relation_dom(sK7(X1)) = X1 )
      | ( X0 != X1 )
      | ( sK5(X0) != sK6(X0) ) ),
    inference(resolution_lifted,[status(thm)],[c_110,c_54]) ).

tcf(c_483,plain,
    ! [X0: $i] :
      ( ( relation_dom(sK7(X0)) = X0 )
      | ( sK5(X0) != sK6(X0) ) ),
    inference(unflattening,[status(thm)],[c_482]) ).

tcf(c_2216,plain,
    ! [X0: $i] :
      ( ( singleton(sK4(X0)) = sK5(X0) )
      | ( relation_dom(sK7(X0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_63,c_56]) ).

tcf(c_2227,plain,
    ! [X0: $i] :
      ( ( singleton(sK4(X0)) = sK6(X0) )
      | ( relation_dom(sK7(X0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_63,c_57]) ).

tcf(c_2354,plain,
    ! [X0: $i] :
      ( ( sK5(X0) = sK6(X0) )
      | ( relation_dom(sK7(X0)) = X0 ) ),
    inference(superposition,[status(thm)],[c_2216,c_2227]) ).

tcf(c_2381,plain,
    ! [X0: $i] : relation_dom(sK7(X0)) = X0,
    inference(global_subsumption_just,[status(thm)],[c_2354,c_483,c_2354]) ).

tcf(c_2391,plain,
    ! [X0: $i] :
      ( in(sK2(sK7(X0)),sK1)
      | ~ function(sK7(X0))
      | ~ relation(sK7(X0))
      | ( X0 != sK1 ) ),
    inference(superposition,[status(thm)],[c_2381,c_1694]) ).

tcf(c_2429,plain,
    ( in(sK2(sK7(sK1)),sK1)
    | ~ function(sK7(sK1))
    | ~ relation(sK7(sK1)) ),
    inference(equality_resolution,[status(thm)],[c_2391]) ).

tcf(c_2439,plain,
    ( sP0(sK1)
    | ( apply(sK7(sK1),sK2(sK7(sK1))) = singleton(sK2(sK7(sK1))) )
    | ~ function(sK7(sK1))
    | ~ relation(sK7(sK1)) ),
    inference(superposition,[status(thm)],[c_2429,c_65]) ).

tcf(c_2472,plain,
    ( sP0(sK1)
    | ( apply(sK7(sK1),sK2(sK7(sK1))) = singleton(sK2(sK7(sK1))) ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2439,c_61,c_59]) ).

tcf(c_2479,plain,
    ( ( singleton(sK4(sK1)) = sK6(sK1) )
    | ( apply(sK7(sK1),sK2(sK7(sK1))) = singleton(sK2(sK7(sK1))) ) ),
    inference(superposition,[status(thm)],[c_2472,c_57]) ).

tcf(c_2480,plain,
    ( ( singleton(sK4(sK1)) = sK5(sK1) )
    | ( apply(sK7(sK1),sK2(sK7(sK1))) = singleton(sK2(sK7(sK1))) ) ),
    inference(superposition,[status(thm)],[c_2472,c_56]) ).

tcf(c_2496,plain,
    ( ( singleton(sK4(sK1)) = sK6(sK1) )
    | ~ function(sK7(sK1))
    | ~ relation(sK7(sK1))
    | ( relation_dom(sK7(sK1)) != sK1 ) ),
    inference(superposition,[status(thm)],[c_2479,c_1695]) ).

tcf(c_2497,plain,
    ( ( singleton(sK4(sK1)) = sK6(sK1) )
    | ~ function(sK7(sK1))
    | ~ relation(sK7(sK1)) ),
    inference(ground_joinability,[status(thm)],[c_2496,c_2381]) ).

tcf(c_2505,plain,
    ( ( singleton(sK4(sK1)) = sK5(sK1) )
    | ~ function(sK7(sK1))
    | ~ relation(sK7(sK1))
    | ( relation_dom(sK7(sK1)) != sK1 ) ),
    inference(superposition,[status(thm)],[c_2480,c_1695]) ).

tcf(c_2506,plain,
    ( ( singleton(sK4(sK1)) = sK5(sK1) )
    | ~ function(sK7(sK1))
    | ~ relation(sK7(sK1)) ),
    inference(ground_joinability,[status(thm)],[c_2505,c_2381]) ).

tcf(c_2653,plain,
    ( sP0(sK1)
    | ( singleton(sK4(sK1)) = sK6(sK1) )
    | ~ relation(sK7(sK1)) ),
    inference(superposition,[status(thm)],[c_61,c_2497]) ).

tcf(c_2664,plain,
    ( sP0(sK1)
    | ( singleton(sK4(sK1)) = sK5(sK1) )
    | ~ relation(sK7(sK1)) ),
    inference(superposition,[status(thm)],[c_61,c_2506]) ).

tcf(c_2671,plain,
    singleton(sK4(sK1)) = sK6(sK1),
    inference(forward_subsumption_resolution,[status(thm)],[c_2653,c_57,c_59]) ).

tcf(c_2681,plain,
    ( sP0(sK1)
    | ( sK5(sK1) = sK6(sK1) )
    | ~ relation(sK7(sK1)) ),
    inference(light_normalisation,[status(thm)],[c_2664,c_2671]) ).

tcf(c_2685,plain,
    ( sP0(sK1)
    | ( sK5(sK1) = sK6(sK1) ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2681,c_59]) ).

tcf(c_2693,plain,
    ( ( sK5(sK1) = sK6(sK1) )
    | ( singleton(sK4(sK1)) = sK5(sK1) ) ),
    inference(superposition,[status(thm)],[c_2685,c_56]) ).

tcf(c_2695,plain,
    sK5(sK1) = sK6(sK1),
    inference(light_normalisation,[status(thm)],[c_2693,c_2671]) ).

tcf(c_2699,plain,
    ~ sP0(sK1),
    inference(superposition,[status(thm)],[c_2695,c_54]) ).

tcf(c_2700,plain,
    apply(sK7(sK1),sK2(sK7(sK1))) = singleton(sK2(sK7(sK1))),
    inference(backward_subsumption_resolution,[status(thm)],[c_2472,c_2699]) ).

tcf(c_2701,plain,
    ( ~ function(sK7(sK1))
    | ~ relation(sK7(sK1))
    | ( relation_dom(sK7(sK1)) != sK1 ) ),
    inference(superposition,[status(thm)],[c_2700,c_1695]) ).

tcf(c_2702,plain,
    ( ~ function(sK7(sK1))
    | ~ relation(sK7(sK1)) ),
    inference(ground_joinability,[status(thm)],[c_2701,c_2381]) ).

tcf(c_2750,plain,
    ( sP0(sK1)
    | ~ function(sK7(sK1)) ),
    inference(superposition,[status(thm)],[c_59,c_2702]) ).

tcf(c_2751,plain,
    ~ function(sK7(sK1)),
    inference(forward_subsumption_resolution,[status(thm)],[c_2750,c_2699]) ).

tcf(c_2753,plain,
    sP0(sK1),
    inference(superposition,[status(thm)],[c_61,c_2751]) ).

tcf(c_2754,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_2753,c_2699]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SEU284+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/15.39  % Computer : n019.cluster.edu
% 0.09/15.39  % Model    : x86_64 x86_64
% 0.09/15.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/15.39  % Memory   : 8046.5625MB
% 0.09/15.39  % OS       : Linux 6.8.0-71-generic
% 0.09/15.39  % CPULimit : 300
% 0.09/15.39  % WCLimit  : 300
% 0.09/15.39  % DateTime : Thu Sep 24 13:32:21 UTC 2026
% 0.09/15.40  % CPUTime  : 
% 0.09/15.40  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/15.43  Running first-order theorem proving
% 0.14/15.43  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
% 0.14/15.44  
% 0.14/15.44  % ======== iProver multi-core TPTP/SMT =========
% 0.14/15.44  
% 0.14/15.44  % Detected problem language: tptp
% 0.14/15.45  % Proving...
% 3.27/16.30  % SZS status Started for theBenchmark.p
% 3.27/16.30  % SZS status Theorem for theBenchmark.p
% 3.27/16.30  
% 3.27/16.30  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.27/16.30  
% 3.27/16.30  % ------  iProver source info
% 3.27/16.30  
% 3.27/16.30  % git: date: 2026-07-19 20:42:38 +0200
% 3.27/16.30  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.27/16.30  % git: non_committed_changes: false
% 3.27/16.30  
% 3.27/16.30  % ------ Parsing...
% 3.27/16.30  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 3.27/16.30  
% 3.27/16.30  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e % 
% 3.27/16.30  
% 3.27/16.30  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 3.27/16.30  
% 3.27/16.30  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.27/16.30  % ------ Proving...
% 3.27/16.30  % ------ Problem Properties 
% 3.27/16.30  
% 3.27/16.30  % 
% 3.27/16.30  % clauses                               31
% 3.27/16.30  % conjectures                           2
% 3.27/16.30  % EPR                                   17
% 3.27/16.30  % Horn                                  26
% 3.27/16.30  % unary                                 11
% 3.27/16.30  % binary                                15
% 3.27/16.30  % lits                                  58
% 3.27/16.30  % lits eq                               10
% 3.27/16.30  % fd_pure                               0
% 3.27/16.30  % fd_pseudo                             0
% 3.27/16.30  % fd_cond                               1
% 3.27/16.30  % fd_pseudo_cond                        1
% 3.27/16.30  % AC symbols                            0
% 3.27/16.30  
% 3.27/16.30  % ------ Schedule dynamic 5 is on 
% 3.27/16.30  
% 3.27/16.30  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.27/16.30  
% 3.27/16.30  
% 3.27/16.30  % ------ 
% 3.27/16.30  % Current options:
% 3.27/16.30  % ------ 
% 3.27/16.30  
% 3.27/16.30  
% 3.27/16.30  % 
% 3.27/16.30  
% 3.27/16.30  % ------ Proving...
% 3.27/16.30  % 
% 3.27/16.30  
% 3.27/16.30  % SZS status Theorem for theBenchmark.p
% 3.27/16.30  
% 3.27/16.30  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.27/16.31  
% 3.27/16.31  
%------------------------------------------------------------------------------