TSTP Solution File: RNG120+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : RNG120+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 14:04:28 EDT 2024

% Result   : Theorem 102.64s 14.36s
% Output   : CNFRefutation 102.64s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    aElement0(sz10),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).

fof(f4,axiom,
    ! [X0] :
      ( aElement0(X0)
     => aElement0(smndt0(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsU) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ( aElement0(X1)
        & aElement0(X0) )
     => aElement0(sdtasdt0(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).

fof(f15,axiom,
    ! [X0] :
      ( aElement0(X0)
     => ( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
        & smndt0(X0) = sdtasdt0(smndt0(sz10),X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulMnOne) ).

fof(f20,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ! [X1] :
          ( aElementOf0(X1,X0)
         => aElement0(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).

fof(f24,axiom,
    ! [X0] :
      ( aIdeal0(X0)
    <=> ( ! [X1] :
            ( aElementOf0(X1,X0)
           => ( ! [X2] :
                  ( aElement0(X2)
                 => aElementOf0(sdtasdt0(X2,X1),X0) )
              & ! [X2] :
                  ( aElementOf0(X2,X0)
                 => aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
        & aSet0(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefIdeal) ).

fof(f42,axiom,
    ( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
    & aIdeal0(xI) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2174) ).

fof(f45,axiom,
    ( ! [X0] :
        ( ( sz00 != X0
          & aElementOf0(X0,xI) )
       => ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) )
    & sz00 != xu
    & aElementOf0(xu,xI) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2273) ).

fof(f50,axiom,
    ( ( iLess0(sbrdtbr0(xr),sbrdtbr0(xu))
      | sz00 = xr )
    & xb = sdtpldt0(sdtasdt0(xq,xu),xr)
    & aElement0(xr)
    & aElement0(xq) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2666) ).

fof(f52,conjecture,
    aElementOf0(smndt0(sdtasdt0(xq,xu)),xI),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f53,negated_conjecture,
    ~ aElementOf0(smndt0(sdtasdt0(xq,xu)),xI),
    inference(negated_conjecture,[],[f52]) ).

fof(f57,plain,
    ! [X0] :
      ( aIdeal0(X0)
    <=> ( ! [X1] :
            ( aElementOf0(X1,X0)
           => ( ! [X2] :
                  ( aElement0(X2)
                 => aElementOf0(sdtasdt0(X2,X1),X0) )
              & ! [X3] :
                  ( aElementOf0(X3,X0)
                 => aElementOf0(sdtpldt0(X1,X3),X0) ) ) )
        & aSet0(X0) ) ),
    inference(rectify,[],[f24]) ).

fof(f61,plain,
    ~ aElementOf0(smndt0(sdtasdt0(xq,xu)),xI),
    inference(flattening,[],[f53]) ).

fof(f63,plain,
    ! [X0] :
      ( aElement0(smndt0(X0))
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( aElement0(sdtasdt0(X0,X1))
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( aElement0(sdtasdt0(X0,X1))
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(flattening,[],[f66]) ).

fof(f81,plain,
    ! [X0] :
      ( ( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
        & smndt0(X0) = sdtasdt0(smndt0(sz10),X0) )
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f85,plain,
    ! [X0] :
      ( ! [X1] :
          ( aElement0(X1)
          | ~ aElementOf0(X1,X0) )
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f92,plain,
    ! [X0] :
      ( aIdeal0(X0)
    <=> ( ! [X1] :
            ( ( ! [X2] :
                  ( aElementOf0(sdtasdt0(X2,X1),X0)
                  | ~ aElement0(X2) )
              & ! [X3] :
                  ( aElementOf0(sdtpldt0(X1,X3),X0)
                  | ~ aElementOf0(X3,X0) ) )
            | ~ aElementOf0(X1,X0) )
        & aSet0(X0) ) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f112,plain,
    ( ! [X0] :
        ( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
        | sz00 = X0
        | ~ aElementOf0(X0,xI) )
    & sz00 != xu
    & aElementOf0(xu,xI) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f113,plain,
    ( ! [X0] :
        ( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
        | sz00 = X0
        | ~ aElementOf0(X0,xI) )
    & sz00 != xu
    & aElementOf0(xu,xI) ),
    inference(flattening,[],[f112]) ).

fof(f134,plain,
    ! [X0] :
      ( ( aIdeal0(X0)
        | ? [X1] :
            ( ( ? [X2] :
                  ( ~ aElementOf0(sdtasdt0(X2,X1),X0)
                  & aElement0(X2) )
              | ? [X3] :
                  ( ~ aElementOf0(sdtpldt0(X1,X3),X0)
                  & aElementOf0(X3,X0) ) )
            & aElementOf0(X1,X0) )
        | ~ aSet0(X0) )
      & ( ( ! [X1] :
              ( ( ! [X2] :
                    ( aElementOf0(sdtasdt0(X2,X1),X0)
                    | ~ aElement0(X2) )
                & ! [X3] :
                    ( aElementOf0(sdtpldt0(X1,X3),X0)
                    | ~ aElementOf0(X3,X0) ) )
              | ~ aElementOf0(X1,X0) )
          & aSet0(X0) )
        | ~ aIdeal0(X0) ) ),
    inference(nnf_transformation,[],[f92]) ).

fof(f135,plain,
    ! [X0] :
      ( ( aIdeal0(X0)
        | ? [X1] :
            ( ( ? [X2] :
                  ( ~ aElementOf0(sdtasdt0(X2,X1),X0)
                  & aElement0(X2) )
              | ? [X3] :
                  ( ~ aElementOf0(sdtpldt0(X1,X3),X0)
                  & aElementOf0(X3,X0) ) )
            & aElementOf0(X1,X0) )
        | ~ aSet0(X0) )
      & ( ( ! [X1] :
              ( ( ! [X2] :
                    ( aElementOf0(sdtasdt0(X2,X1),X0)
                    | ~ aElement0(X2) )
                & ! [X3] :
                    ( aElementOf0(sdtpldt0(X1,X3),X0)
                    | ~ aElementOf0(X3,X0) ) )
              | ~ aElementOf0(X1,X0) )
          & aSet0(X0) )
        | ~ aIdeal0(X0) ) ),
    inference(flattening,[],[f134]) ).

fof(f136,plain,
    ! [X0] :
      ( ( aIdeal0(X0)
        | ? [X1] :
            ( ( ? [X2] :
                  ( ~ aElementOf0(sdtasdt0(X2,X1),X0)
                  & aElement0(X2) )
              | ? [X3] :
                  ( ~ aElementOf0(sdtpldt0(X1,X3),X0)
                  & aElementOf0(X3,X0) ) )
            & aElementOf0(X1,X0) )
        | ~ aSet0(X0) )
      & ( ( ! [X4] :
              ( ( ! [X5] :
                    ( aElementOf0(sdtasdt0(X5,X4),X0)
                    | ~ aElement0(X5) )
                & ! [X6] :
                    ( aElementOf0(sdtpldt0(X4,X6),X0)
                    | ~ aElementOf0(X6,X0) ) )
              | ~ aElementOf0(X4,X0) )
          & aSet0(X0) )
        | ~ aIdeal0(X0) ) ),
    inference(rectify,[],[f135]) ).

fof(f137,plain,
    ! [X0] :
      ( ? [X1] :
          ( ( ? [X2] :
                ( ~ aElementOf0(sdtasdt0(X2,X1),X0)
                & aElement0(X2) )
            | ? [X3] :
                ( ~ aElementOf0(sdtpldt0(X1,X3),X0)
                & aElementOf0(X3,X0) ) )
          & aElementOf0(X1,X0) )
     => ( ( ? [X2] :
              ( ~ aElementOf0(sdtasdt0(X2,sK10(X0)),X0)
              & aElement0(X2) )
          | ? [X3] :
              ( ~ aElementOf0(sdtpldt0(sK10(X0),X3),X0)
              & aElementOf0(X3,X0) ) )
        & aElementOf0(sK10(X0),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f138,plain,
    ! [X0] :
      ( ? [X2] :
          ( ~ aElementOf0(sdtasdt0(X2,sK10(X0)),X0)
          & aElement0(X2) )
     => ( ~ aElementOf0(sdtasdt0(sK11(X0),sK10(X0)),X0)
        & aElement0(sK11(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f139,plain,
    ! [X0] :
      ( ? [X3] :
          ( ~ aElementOf0(sdtpldt0(sK10(X0),X3),X0)
          & aElementOf0(X3,X0) )
     => ( ~ aElementOf0(sdtpldt0(sK10(X0),sK12(X0)),X0)
        & aElementOf0(sK12(X0),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f140,plain,
    ! [X0] :
      ( ( aIdeal0(X0)
        | ( ( ( ~ aElementOf0(sdtasdt0(sK11(X0),sK10(X0)),X0)
              & aElement0(sK11(X0)) )
            | ( ~ aElementOf0(sdtpldt0(sK10(X0),sK12(X0)),X0)
              & aElementOf0(sK12(X0),X0) ) )
          & aElementOf0(sK10(X0),X0) )
        | ~ aSet0(X0) )
      & ( ( ! [X4] :
              ( ( ! [X5] :
                    ( aElementOf0(sdtasdt0(X5,X4),X0)
                    | ~ aElement0(X5) )
                & ! [X6] :
                    ( aElementOf0(sdtpldt0(X4,X6),X0)
                    | ~ aElementOf0(X6,X0) ) )
              | ~ aElementOf0(X4,X0) )
          & aSet0(X0) )
        | ~ aIdeal0(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f136,f139,f138,f137]) ).

fof(f172,plain,
    aElement0(sz10),
    inference(cnf_transformation,[],[f3]) ).

fof(f173,plain,
    ! [X0] :
      ( aElement0(smndt0(X0))
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f175,plain,
    ! [X0,X1] :
      ( aElement0(sdtasdt0(X0,X1))
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f188,plain,
    ! [X0] :
      ( smndt0(X0) = sdtasdt0(smndt0(sz10),X0)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f194,plain,
    ! [X0,X1] :
      ( aElement0(X1)
      | ~ aElementOf0(X1,X0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f85]) ).

fof(f218,plain,
    ! [X0] :
      ( aSet0(X0)
      | ~ aIdeal0(X0) ),
    inference(cnf_transformation,[],[f140]) ).

fof(f220,plain,
    ! [X0,X4,X5] :
      ( aElementOf0(sdtasdt0(X5,X4),X0)
      | ~ aElement0(X5)
      | ~ aElementOf0(X4,X0)
      | ~ aIdeal0(X0) ),
    inference(cnf_transformation,[],[f140]) ).

fof(f266,plain,
    aIdeal0(xI),
    inference(cnf_transformation,[],[f42]) ).

fof(f274,plain,
    aElementOf0(xu,xI),
    inference(cnf_transformation,[],[f113]) ).

fof(f283,plain,
    aElement0(xq),
    inference(cnf_transformation,[],[f50]) ).

fof(f288,plain,
    ~ aElementOf0(smndt0(sdtasdt0(xq,xu)),xI),
    inference(cnf_transformation,[],[f61]) ).

cnf(c_50,plain,
    aElement0(sz10),
    inference(cnf_transformation,[],[f172]) ).

cnf(c_51,plain,
    ( ~ aElement0(X0)
    | aElement0(smndt0(X0)) ),
    inference(cnf_transformation,[],[f173]) ).

cnf(c_53,plain,
    ( ~ aElement0(X0)
    | ~ aElement0(X1)
    | aElement0(sdtasdt0(X0,X1)) ),
    inference(cnf_transformation,[],[f175]) ).

cnf(c_67,plain,
    ( ~ aElement0(X0)
    | sdtasdt0(smndt0(sz10),X0) = smndt0(X0) ),
    inference(cnf_transformation,[],[f188]) ).

cnf(c_72,plain,
    ( ~ aElementOf0(X0,X1)
    | ~ aSet0(X1)
    | aElement0(X0) ),
    inference(cnf_transformation,[],[f194]) ).

cnf(c_101,plain,
    ( ~ aElementOf0(X0,X1)
    | ~ aElement0(X2)
    | ~ aIdeal0(X1)
    | aElementOf0(sdtasdt0(X2,X0),X1) ),
    inference(cnf_transformation,[],[f220]) ).

cnf(c_103,plain,
    ( ~ aIdeal0(X0)
    | aSet0(X0) ),
    inference(cnf_transformation,[],[f218]) ).

cnf(c_145,plain,
    aIdeal0(xI),
    inference(cnf_transformation,[],[f266]) ).

cnf(c_154,plain,
    aElementOf0(xu,xI),
    inference(cnf_transformation,[],[f274]) ).

cnf(c_164,plain,
    aElement0(xq),
    inference(cnf_transformation,[],[f283]) ).

cnf(c_166,negated_conjecture,
    ~ aElementOf0(smndt0(sdtasdt0(xq,xu)),xI),
    inference(cnf_transformation,[],[f288]) ).

cnf(c_5692,plain,
    sdtasdt0(xq,xu) = sP0_iProver_def,
    definition ).

cnf(c_5693,plain,
    smndt0(sP0_iProver_def) = sP1_iProver_def,
    definition ).

cnf(c_5694,negated_conjecture,
    ~ aElementOf0(sP1_iProver_def,xI),
    inference(demodulation,[status(thm)],[c_166,c_5692,c_5693]) ).

cnf(c_5695,plain,
    X0 = X0,
    theory(equality) ).

cnf(c_5697,plain,
    ( X0 != X1
    | X2 != X1
    | X2 = X0 ),
    theory(equality) ).

cnf(c_5702,plain,
    ( X0 != X1
    | X2 != X3
    | ~ aElementOf0(X1,X3)
    | aElementOf0(X0,X2) ),
    theory(equality) ).

cnf(c_7462,plain,
    aSet0(xI),
    inference(superposition,[status(thm)],[c_145,c_103]) ).

cnf(c_7715,plain,
    ( ~ aSet0(xI)
    | aElement0(xu) ),
    inference(superposition,[status(thm)],[c_154,c_72]) ).

cnf(c_7718,plain,
    aElement0(xu),
    inference(forward_subsumption_resolution,[status(thm)],[c_7715,c_7462]) ).

cnf(c_7834,plain,
    ( ~ aElement0(xu)
    | ~ aElement0(xq)
    | aElement0(sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_5692,c_53]) ).

cnf(c_7851,plain,
    aElement0(sP0_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_7834,c_164,c_7718]) ).

cnf(c_7882,plain,
    xI = xI,
    inference(instantiation,[status(thm)],[c_5695]) ).

cnf(c_12810,plain,
    ( X0 != X1
    | X1 = X0 ),
    inference(resolution,[status(thm)],[c_5697,c_5695]) ).

cnf(c_13102,plain,
    sP1_iProver_def = smndt0(sP0_iProver_def),
    inference(resolution,[status(thm)],[c_12810,c_5693]) ).

cnf(c_13404,plain,
    ( X0 != smndt0(sP0_iProver_def)
    | sP1_iProver_def = X0 ),
    inference(resolution,[status(thm)],[c_13102,c_5697]) ).

cnf(c_17168,plain,
    ( ~ aElement0(sP0_iProver_def)
    | sP1_iProver_def = sdtasdt0(smndt0(sz10),sP0_iProver_def) ),
    inference(resolution,[status(thm)],[c_13404,c_67]) ).

cnf(c_41567,plain,
    ( ~ aElementOf0(xu,X0)
    | ~ aIdeal0(X0)
    | ~ aElement0(xq)
    | aElementOf0(sP0_iProver_def,X0) ),
    inference(superposition,[status(thm)],[c_5692,c_101]) ).

cnf(c_41600,plain,
    ( ~ aElementOf0(xu,X0)
    | ~ aIdeal0(X0)
    | aElementOf0(sP0_iProver_def,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_41567,c_164]) ).

cnf(c_41902,plain,
    ( ~ aIdeal0(xI)
    | aElementOf0(sP0_iProver_def,xI) ),
    inference(superposition,[status(thm)],[c_154,c_41600]) ).

cnf(c_41903,plain,
    aElementOf0(sP0_iProver_def,xI),
    inference(forward_subsumption_resolution,[status(thm)],[c_41902,c_145]) ).

cnf(c_54562,plain,
    ( ~ aElementOf0(X0,xI)
    | ~ aElement0(X1)
    | ~ aIdeal0(xI)
    | aElementOf0(sdtasdt0(X1,X0),xI) ),
    inference(instantiation,[status(thm)],[c_101]) ).

cnf(c_69936,plain,
    ( xI != X0
    | sP1_iProver_def != X1
    | ~ aElementOf0(X1,X0)
    | aElementOf0(sP1_iProver_def,xI) ),
    inference(instantiation,[status(thm)],[c_5702]) ).

cnf(c_77082,plain,
    ( xI != xI
    | sP1_iProver_def != X0
    | ~ aElementOf0(X0,xI)
    | aElementOf0(sP1_iProver_def,xI) ),
    inference(instantiation,[status(thm)],[c_69936]) ).

cnf(c_125721,plain,
    ( xI != xI
    | sP1_iProver_def != sdtasdt0(smndt0(sz10),sP0_iProver_def)
    | ~ aElementOf0(sdtasdt0(smndt0(sz10),sP0_iProver_def),xI)
    | aElementOf0(sP1_iProver_def,xI) ),
    inference(instantiation,[status(thm)],[c_77082]) ).

cnf(c_127317,plain,
    ( ~ aElement0(smndt0(sz10))
    | ~ aElementOf0(sP0_iProver_def,xI)
    | ~ aIdeal0(xI)
    | aElementOf0(sdtasdt0(smndt0(sz10),sP0_iProver_def),xI) ),
    inference(instantiation,[status(thm)],[c_54562]) ).

cnf(c_182835,plain,
    ( ~ aElement0(sz10)
    | aElement0(smndt0(sz10)) ),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_182836,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_182835,c_127317,c_125721,c_41903,c_17168,c_7882,c_7851,c_5694,c_50,c_145]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : RNG120+1 : TPTP v8.2.0. Released v4.0.0.
% 0.00/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n008.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Tue Jun 18 14:05:24 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.21/0.47  Running first-order theorem proving
% 0.21/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 102.64/14.36  % SZS status Started for theBenchmark.p
% 102.64/14.36  % SZS status Theorem for theBenchmark.p
% 102.64/14.36  
% 102.64/14.36  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 102.64/14.36  
% 102.64/14.36  ------  iProver source info
% 102.64/14.36  
% 102.64/14.36  git: date: 2024-06-12 09:56:46 +0000
% 102.64/14.36  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 102.64/14.36  git: non_committed_changes: false
% 102.64/14.36  
% 102.64/14.36  ------ Parsing...
% 102.64/14.36  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 102.64/14.36  
% 102.64/14.36  ------ Preprocessing... sup_sim: 1  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 102.64/14.36  
% 102.64/14.36  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 102.64/14.36  
% 102.64/14.36  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 102.64/14.36  ------ Proving...
% 102.64/14.36  ------ Problem Properties 
% 102.64/14.36  
% 102.64/14.36  
% 102.64/14.36  clauses                                 115
% 102.64/14.36  conjectures                             1
% 102.64/14.36  EPR                                     30
% 102.64/14.36  Horn                                    91
% 102.64/14.36  unary                                   30
% 102.64/14.36  binary                                  16
% 102.64/14.36  lits                                    358
% 102.64/14.36  lits eq                                 55
% 102.64/14.36  fd_pure                                 0
% 102.64/14.36  fd_pseudo                               0
% 102.64/14.36  fd_cond                                 5
% 102.64/14.36  fd_pseudo_cond                          11
% 102.64/14.36  AC symbols                              0
% 102.64/14.36  
% 102.64/14.36  ------ Input Options Time Limit: Unbounded
% 102.64/14.36  
% 102.64/14.36  
% 102.64/14.36  ------ 
% 102.64/14.36  Current options:
% 102.64/14.36  ------ 
% 102.64/14.36  
% 102.64/14.36  
% 102.64/14.36  
% 102.64/14.36  
% 102.64/14.36  ------ Proving...
% 102.64/14.36  
% 102.64/14.36  
% 102.64/14.36  % SZS status Theorem for theBenchmark.p
% 102.64/14.36  
% 102.64/14.36  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 102.64/14.36  
% 102.64/14.37  
%------------------------------------------------------------------------------