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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : RNG120+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n002.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 02:39:13 PM UTC 2026

% Result   : Theorem 65.41s 25.68s
% Output   : CNFRefutation 65.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   73 (  20 unt;   0 def)
%            Number of atoms       :  239 (  45 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  281 ( 115   ~; 107   |;  44   &)
%                                         (   3 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 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  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;   8 con; 0-2 aty)
%            Number of variables   :   96 (   0 sgn  87   !;   9   ?;  32   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    aElement0(sz10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).

fof(f4,axiom,
    ! [X0] :
      ( aElement0(X0)
     => aElement0(smndt0(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsU) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ( aElement0(X1)
        & aElement0(X0) )
     => aElement0(sdtasdt0(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).

fof(f15,axiom,
    ! [X0] :
      ( aElement0(X0)
     => ( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
        & sdtasdt0(smndt0(sz10),X0) = smndt0(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulMnOne) ).

fof(f20,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ! [X1] :
          ( aElementOf0(X1,X0)
         => aElement0(X1) ) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mDefIdeal) ).

fof(f42,axiom,
    ( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
    & aIdeal0(xI) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2174) ).

fof(f45,axiom,
    ( ! [X0] :
        ( ( X0 != sz00
          & aElementOf0(X0,xI) )
       => ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) )
    & xu != sz00
    & aElementOf0(xu,xI) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2273) ).

fof(f50,axiom,
    ( ( iLess0(sbrdtbr0(xr),sbrdtbr0(xu))
      | xr = sz00 )
    & xb = sdtpldt0(sdtasdt0(xq,xu),xr)
    & aElement0(xr)
    & aElement0(xq) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2666) ).

fof(f52,conjecture,
    aElementOf0(smndt0(sdtasdt0(xq,xu)),xI),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

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

fof(f54,plain,
    ~ aElementOf0(smndt0(sdtasdt0(xq,xu)),xI),
    inference(flattening,[],[f53]) ).

fof(f56,plain,
    ! [X0] :
      ( aIdeal0(X0)
    <=> ( ! [X1] :
            ( aElementOf0(X1,X0)
           => ( ! [X3] :
                  ( aElement0(X3)
                 => aElementOf0(sdtasdt0(X3,X1),X0) )
              & ! [X2] :
                  ( aElementOf0(X2,X0)
                 => aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
        & aSet0(X0) ) ),
    inference(rectify,[],[f24]) ).

fof(f62,plain,
    ( ! [X0] :
        ( sz00 = X0
        | ~ aElementOf0(X0,xI)
        | ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) )
    & xu != sz00
    & aElementOf0(xu,xI) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f63,plain,
    ( ! [X0] :
        ( sz00 = X0
        | ~ aElementOf0(X0,xI)
        | ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) )
    & xu != sz00
    & aElementOf0(xu,xI) ),
    inference(flattening,[],[f62]) ).

fof(f74,plain,
    ! [X0] :
      ( aIdeal0(X0)
    <=> ( ! [X1] :
            ( ~ aElementOf0(X1,X0)
            | ( ! [X3] :
                  ( ~ aElement0(X3)
                  | aElementOf0(sdtasdt0(X3,X1),X0) )
              & ! [X2] :
                  ( ~ aElementOf0(X2,X0)
                  | aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
        & aSet0(X0) ) ),
    inference(ennf_transformation,[],[f56]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( ~ aElement0(X1)
      | ~ aElement0(X0)
      | aElement0(sdtasdt0(X0,X1)) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( ~ aElement0(X1)
      | ~ aElement0(X0)
      | aElement0(sdtasdt0(X0,X1)) ),
    inference(flattening,[],[f93]) ).

fof(f97,plain,
    ! [X0] :
      ( ~ aElement0(X0)
      | ( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
        & sdtasdt0(smndt0(sz10),X0) = smndt0(X0) ) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f99,plain,
    ! [X0] :
      ( ~ aElement0(X0)
      | aElement0(smndt0(X0)) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f102,plain,
    ! [X0] :
      ( ~ aSet0(X0)
      | ! [X1] :
          ( ~ aElementOf0(X1,X0)
          | aElement0(X1) ) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f113,plain,
    ! [X0] :
      ( ( ~ aIdeal0(X0)
        | ( ! [X1] :
              ( ~ aElementOf0(X1,X0)
              | ( ! [X3] :
                    ( ~ aElement0(X3)
                    | aElementOf0(sdtasdt0(X3,X1),X0) )
                & ! [X2] :
                    ( ~ aElementOf0(X2,X0)
                    | aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
          & aSet0(X0) ) )
      & ( ? [X1] :
            ( aElementOf0(X1,X0)
            & ( ? [X3] :
                  ( aElement0(X3)
                  & ~ aElementOf0(sdtasdt0(X3,X1),X0) )
              | ? [X2] :
                  ( aElementOf0(X2,X0)
                  & ~ aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
        | ~ aSet0(X0)
        | aIdeal0(X0) ) ),
    inference(nnf_transformation,[],[f74]) ).

fof(f114,plain,
    ! [X0] :
      ( ( ~ aIdeal0(X0)
        | ( ! [X1] :
              ( ~ aElementOf0(X1,X0)
              | ( ! [X3] :
                    ( ~ aElement0(X3)
                    | aElementOf0(sdtasdt0(X3,X1),X0) )
                & ! [X2] :
                    ( ~ aElementOf0(X2,X0)
                    | aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
          & aSet0(X0) ) )
      & ( ? [X1] :
            ( aElementOf0(X1,X0)
            & ( ? [X3] :
                  ( aElement0(X3)
                  & ~ aElementOf0(sdtasdt0(X3,X1),X0) )
              | ? [X2] :
                  ( aElementOf0(X2,X0)
                  & ~ aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
        | ~ aSet0(X0)
        | aIdeal0(X0) ) ),
    inference(flattening,[],[f113]) ).

fof(f115,plain,
    ! [X0] :
      ( ( ~ aIdeal0(X0)
        | ( ! [X4] :
              ( ~ aElementOf0(X4,X0)
              | ( ! [X6] :
                    ( ~ aElement0(X6)
                    | aElementOf0(sdtasdt0(X6,X4),X0) )
                & ! [X5] :
                    ( ~ aElementOf0(X5,X0)
                    | aElementOf0(sdtpldt0(X4,X5),X0) ) ) )
          & aSet0(X0) ) )
      & ( ? [X1] :
            ( aElementOf0(X1,X0)
            & ( ? [X3] :
                  ( aElement0(X3)
                  & ~ aElementOf0(sdtasdt0(X3,X1),X0) )
              | ? [X2] :
                  ( aElementOf0(X2,X0)
                  & ~ aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
        | ~ aSet0(X0)
        | aIdeal0(X0) ) ),
    inference(rectify,[],[f114]) ).

fof(f116,plain,
    ! [X0] :
      ( ( ~ aIdeal0(X0)
        | ( ! [X4] :
              ( ~ aElementOf0(X4,X0)
              | ( ! [X6] :
                    ( ~ aElement0(X6)
                    | aElementOf0(sdtasdt0(X6,X4),X0) )
                & ! [X5] :
                    ( ~ aElementOf0(X5,X0)
                    | aElementOf0(sdtpldt0(X4,X5),X0) ) ) )
          & aSet0(X0) ) )
      & ( ( aElementOf0(sK6(X0),X0)
          & ( ( aElement0(sK8(X0))
              & ~ aElementOf0(sdtasdt0(sK8(X0),sK6(X0)),X0) )
            | ( aElementOf0(sK7(X0),X0)
              & ~ aElementOf0(sdtpldt0(sK6(X0),sK7(X0)),X0) ) ) )
        | ~ aSet0(X0)
        | aIdeal0(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8]),skolemize(X1,sK6(X0)),skolemize(X2,sK7(X0)),skolemize(X3,sK8(X0))],[f115]) ).

fof(f139,plain,
    aIdeal0(xI),
    inference(cnf_transformation,[],[f42]) ).

fof(f148,plain,
    aElementOf0(xu,xI),
    inference(cnf_transformation,[],[f63]) ).

fof(f158,plain,
    aElement0(xq),
    inference(cnf_transformation,[],[f50]) ).

fof(f160,plain,
    ~ aElementOf0(smndt0(sdtasdt0(xq,xu)),xI),
    inference(cnf_transformation,[],[f54]) ).

fof(f175,plain,
    ! [X0,X6,X4] :
      ( ~ aIdeal0(X0)
      | ~ aElementOf0(X4,X0)
      | ~ aElement0(X6)
      | aElementOf0(sdtasdt0(X6,X4),X0) ),
    inference(cnf_transformation,[],[f116]) ).

fof(f177,plain,
    ! [X0] :
      ( ~ aIdeal0(X0)
      | aSet0(X0) ),
    inference(cnf_transformation,[],[f116]) ).

fof(f216,plain,
    ! [X0,X1] :
      ( ~ aElement0(X1)
      | ~ aElement0(X0)
      | aElement0(sdtasdt0(X0,X1)) ),
    inference(cnf_transformation,[],[f94]) ).

fof(f221,plain,
    ! [X0] :
      ( ~ aElement0(X0)
      | smndt0(X0) = sdtasdt0(smndt0(sz10),X0) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f224,plain,
    ! [X0] :
      ( ~ aElement0(X0)
      | aElement0(smndt0(X0)) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f229,plain,
    ! [X0,X1] :
      ( ~ aSet0(X0)
      | ~ aElementOf0(X1,X0)
      | aElement0(X1) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f233,plain,
    aElement0(sz10),
    inference(cnf_transformation,[],[f3]) ).

tcf(c_53,plain,
    aIdeal0(xI),
    inference(cnf_transformation,[],[f139]) ).

tcf(c_61,plain,
    aElementOf0(xu,xI),
    inference(cnf_transformation,[],[f148]) ).

tcf(c_70,plain,
    aElement0(xq),
    inference(cnf_transformation,[],[f158]) ).

tcf(c_75,negated_conjecture,
    ~ aElementOf0(smndt0(sdtasdt0(xq,xu)),xI),
    inference(cnf_transformation,[],[f160]) ).

tcf(c_95,plain,
    ! [X0: $i] :
      ( aSet0(X0)
      | ~ aIdeal0(X0) ),
    inference(cnf_transformation,[],[f177]) ).

tcf(c_97,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( aElementOf0(sdtasdt0(X2,X0),X1)
      | ~ aIdeal0(X1)
      | ~ aElement0(X2)
      | ~ aElementOf0(X0,X1) ),
    inference(cnf_transformation,[],[f175]) ).

tcf(c_131,plain,
    ! [X0: $i,X1: $i] :
      ( aElement0(sdtasdt0(X0,X1))
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f216]) ).

tcf(c_135,plain,
    ! [X0: $i] :
      ( ( sdtasdt0(smndt0(sz10),X0) = smndt0(X0) )
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f221]) ).

tcf(c_139,plain,
    ! [X0: $i] :
      ( aElement0(smndt0(X0))
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f224]) ).

tcf(c_144,plain,
    ! [X0: $i,X1: $i] :
      ( aElement0(X0)
      | ~ aSet0(X1)
      | ~ aElementOf0(X0,X1) ),
    inference(cnf_transformation,[],[f229]) ).

tcf(c_148,plain,
    aElement0(sz10),
    inference(cnf_transformation,[],[f233]) ).

tcf(c_4872,plain,
    ! [X0: $i] : X0 = X0,
    theory(equality) ).

tcf(c_4874,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X2 = X0 )
      | ( X2 != X1 )
      | ( X0 != X1 ) ),
    theory(equality) ).

tcf(c_4880,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( aElementOf0(X0,X2)
      | ~ aElementOf0(X1,X3)
      | ( X2 != X3 )
      | ( X0 != X1 ) ),
    theory(equality) ).

tcf(c_4887,plain,
    ! [X0: $i,X1: $i] :
      ( ( smndt0(X0) = smndt0(X1) )
      | ( X0 != X1 ) ),
    theory(equality) ).

tcf(c_6238,plain,
    aSet0(xI),
    inference(superposition,[status(thm)],[c_53,c_95]) ).

tcf(c_6342,plain,
    ( aElement0(xu)
    | ~ aSet0(xI) ),
    inference(superposition,[status(thm)],[c_61,c_144]) ).

tcf(c_6346,plain,
    aElement0(xu),
    inference(forward_subsumption_resolution,[status(thm)],[c_6342,c_6238]) ).

tcf(c_6626,plain,
    ! [X0: $i,X1: $i] :
      ( aElementOf0(sdtasdt0(X1,X0),xI)
      | ~ aIdeal0(xI)
      | ~ aElement0(X1)
      | ~ aElementOf0(X0,xI) ),
    inference(instantiation,[status(thm)],[c_97]) ).

tcf(c_8052,plain,
    ! [X0: $i] :
      ( aElementOf0(sdtasdt0(X0,xu),xI)
      | ~ aIdeal0(xI)
      | ~ aElement0(X0)
      | ~ aElementOf0(xu,xI) ),
    inference(instantiation,[status(thm)],[c_6626]) ).

tcf(c_12760,plain,
    xI = xI,
    inference(instantiation,[status(thm)],[c_4872]) ).

tcf(c_63908,plain,
    ! [X0: $i] :
      ( ( smndt0(sdtasdt0(xq,xu)) = smndt0(X0) )
      | ( sdtasdt0(xq,xu) != X0 ) ),
    inference(instantiation,[status(thm)],[c_4887]) ).

tcf(c_73084,plain,
    ( ( smndt0(sdtasdt0(xq,xu)) = smndt0(sdtasdt0(xq,xu)) )
    | ( sdtasdt0(xq,xu) != sdtasdt0(xq,xu) ) ),
    inference(instantiation,[status(thm)],[c_63908]) ).

tcf(c_73085,plain,
    sdtasdt0(xq,xu) = sdtasdt0(xq,xu),
    inference(instantiation,[status(thm)],[c_4872]) ).

tcf(c_81598,plain,
    ( aElement0(sdtasdt0(xq,xu))
    | ~ aElement0(xq)
    | ~ aElement0(xu) ),
    inference(instantiation,[status(thm)],[c_131]) ).

tcf(c_81738,plain,
    ( aElementOf0(sdtasdt0(xq,xu),xI)
    | ~ aIdeal0(xI)
    | ~ aElement0(xq)
    | ~ aElementOf0(xu,xI) ),
    inference(instantiation,[status(thm)],[c_8052]) ).

tcf(c_92572,plain,
    ! [X0: $i,X1: $i] :
      ( ( smndt0(sdtasdt0(xq,xu)) = X1 )
      | ( X1 != X0 )
      | ( smndt0(sdtasdt0(xq,xu)) != X0 ) ),
    inference(instantiation,[status(thm)],[c_4874]) ).

tcf(c_94353,plain,
    ! [X0: $i] :
      ( ( smndt0(sdtasdt0(xq,xu)) = X0 )
      | ( X0 != smndt0(sdtasdt0(xq,xu)) )
      | ( smndt0(sdtasdt0(xq,xu)) != smndt0(sdtasdt0(xq,xu)) ) ),
    inference(instantiation,[status(thm)],[c_92572]) ).

tcf(c_99081,plain,
    ( ( smndt0(sdtasdt0(xq,xu)) = sdtasdt0(smndt0(sz10),sdtasdt0(xq,xu)) )
    | ( smndt0(sdtasdt0(xq,xu)) != smndt0(sdtasdt0(xq,xu)) )
    | ( sdtasdt0(smndt0(sz10),sdtasdt0(xq,xu)) != smndt0(sdtasdt0(xq,xu)) ) ),
    inference(instantiation,[status(thm)],[c_94353]) ).

tcf(c_99082,plain,
    ( ( sdtasdt0(smndt0(sz10),sdtasdt0(xq,xu)) = smndt0(sdtasdt0(xq,xu)) )
    | ~ aElement0(sdtasdt0(xq,xu)) ),
    inference(instantiation,[status(thm)],[c_135]) ).

tcf(c_113787,plain,
    ! [X0: $i,X1: $i] :
      ( aElementOf0(sdtasdt0(X1,X0),xI)
      | ~ aIdeal0(xI)
      | ~ aElement0(X1)
      | ~ aElementOf0(X0,xI) ),
    inference(instantiation,[status(thm)],[c_97]) ).

tcf(c_113789,plain,
    ! [X0: $i,X1: $i] :
      ( aElementOf0(smndt0(sdtasdt0(xq,xu)),xI)
      | ~ aElementOf0(X0,X1)
      | ( xI != X1 )
      | ( smndt0(sdtasdt0(xq,xu)) != X0 ) ),
    inference(instantiation,[status(thm)],[c_4880]) ).

tcf(c_113982,plain,
    ! [X0: $i] :
      ( aElementOf0(smndt0(sdtasdt0(xq,xu)),xI)
      | ~ aElementOf0(X0,xI)
      | ( xI != xI )
      | ( smndt0(sdtasdt0(xq,xu)) != X0 ) ),
    inference(instantiation,[status(thm)],[c_113789]) ).

tcf(c_151108,plain,
    ( aElementOf0(smndt0(sdtasdt0(xq,xu)),xI)
    | ~ aElementOf0(sdtasdt0(smndt0(sz10),sdtasdt0(xq,xu)),xI)
    | ( xI != xI )
    | ( smndt0(sdtasdt0(xq,xu)) != sdtasdt0(smndt0(sz10),sdtasdt0(xq,xu)) ) ),
    inference(instantiation,[status(thm)],[c_113982]) ).

tcf(c_151646,plain,
    ( aElementOf0(sdtasdt0(smndt0(sz10),sdtasdt0(xq,xu)),xI)
    | ~ aIdeal0(xI)
    | ~ aElement0(smndt0(sz10))
    | ~ aElementOf0(sdtasdt0(xq,xu),xI) ),
    inference(instantiation,[status(thm)],[c_113787]) ).

tcf(c_159229,plain,
    ( aElement0(smndt0(sz10))
    | ~ aElement0(sz10) ),
    inference(instantiation,[status(thm)],[c_139]) ).

tcf(c_159230,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_159229,c_151646,c_151108,c_99082,c_99081,c_81738,c_81598,c_73085,c_73084,c_12760,c_6346,c_75,c_61,c_53,c_70,c_148]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : RNG120+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/10.59  % Computer : n002.cluster.edu
% 0.09/10.59  % Model    : x86_64 x86_64
% 0.09/10.59  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.59  % Memory   : 8046.5625MB
% 0.09/10.59  % OS       : Linux 6.8.0-71-generic
% 0.09/10.59  % CPULimit : 300
% 0.09/10.59  % WCLimit  : 300
% 0.09/10.59  % DateTime : Thu Sep 24 08:23:18 UTC 2026
% 0.09/10.59  % CPUTime  : 
% 0.09/10.59  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/10.63  Running first-order theorem proving
% 0.14/10.63  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
% 0.14/10.64  
% 0.14/10.64  % ======== iProver multi-core TPTP/SMT =========
% 0.14/10.64  
% 0.14/10.64  % Detected problem language: tptp
% 0.14/10.66  % Proving...
% 65.41/25.68  % SZS status Started for theBenchmark.p
% 65.41/25.68  % SZS status Theorem for theBenchmark.p
% 65.41/25.68  
% 65.41/25.68  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 65.41/25.68  
% 65.41/25.68  % ------  iProver source info
% 65.41/25.68  
% 65.41/25.68  % git: date: 2026-07-19 20:42:38 +0200
% 65.41/25.68  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 65.41/25.68  % git: non_committed_changes: false
% 65.41/25.68  
% 65.41/25.68  % ------ Parsing...
% 65.41/25.68  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 65.41/25.68  
% 65.41/25.68  % ------ Preprocessing... sup_sim: 1  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e % 
% 65.41/25.68  
% 65.41/25.68  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 65.41/25.68  
% 65.41/25.68  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 65.41/25.68  % ------ Proving...
% 65.41/25.68  % ------ Problem Properties 
% 65.41/25.68  
% 65.41/25.68  % 
% 65.41/25.68  % clauses                               99
% 65.41/25.68  % conjectures                           1
% 65.41/25.68  % EPR                                   29
% 65.41/25.68  % Horn                                  80
% 65.41/25.68  % unary                                 28
% 65.41/25.68  % binary                                16
% 65.41/25.68  % lits                                  282
% 65.41/25.68  % lits eq                               50
% 65.41/25.68  % fd_pure                               0
% 65.41/25.68  % fd_pseudo                             0
% 65.41/25.68  % fd_cond                               5
% 65.41/25.68  % fd_pseudo_cond                        8
% 65.41/25.68  % AC symbols                            0
% 65.41/25.68  
% 65.41/25.68  % ------ Schedule dynamic 5 is on 
% 65.41/25.68  
% 65.41/25.68  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 65.41/25.68  
% 65.41/25.68  
% 65.41/25.68  % ------ 
% 65.41/25.68  % Current options:
% 65.41/25.68  % ------ 
% 65.41/25.68  
% 65.41/25.68  
% 65.41/25.68  % 
% 65.41/25.68  
% 65.41/25.68  % ------ Proving...
% 65.41/25.68  % Proof_search_loop: time out after: 8677 full_loop iterations
% 65.41/25.68  
% 65.41/25.68  % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 65.41/25.68  
% 65.41/25.68  
% 65.41/25.68  % ------ 
% 65.41/25.68  % Current options:
% 65.41/25.68  % ------ 
% 65.41/25.68  
% 65.41/25.68  
% 65.41/25.68  % 
% 65.41/25.68  
% 65.41/25.68  % ------ Proving...
% 65.41/25.68  % 
% 65.41/25.68  
% 65.41/25.68  % SZS status Theorem for theBenchmark.p
% 65.41/25.68  
% 65.41/25.68  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 65.41/25.68  
% 65.41/25.68  
%------------------------------------------------------------------------------