TSTP Solution File: NUM459+2 by iProver---3.8

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%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : NUM459+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n023.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 : Thu Aug 31 11:30:38 EDT 2023

% Result   : Theorem 4.24s 1.17s
% Output   : CNFRefutation 4.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   86 (  28 unt;   0 def)
%            Number of atoms       :  271 ( 122 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  299 ( 114   ~; 110   |;  57   &)
%                                         (   0 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :  103 (   0 sgn;  66   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    aNaturalNumber0(sz00),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => aNaturalNumber0(sdtpldt0(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).

fof(f7,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddAsso) ).

fof(f8,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( sdtpldt0(sz00,X0) = X0
        & sdtpldt0(X0,sz00) = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_AddZero) ).

fof(f12,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( sz00 = sdtasdt0(sz00,X0)
        & sz00 = sdtasdt0(X0,sz00) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulZero) ).

fof(f14,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sdtpldt0(X1,X0) = sdtpldt0(X2,X0)
          | sdtpldt0(X0,X1) = sdtpldt0(X0,X2) )
       => X1 = X2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddCanc) ).

fof(f15,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( sz00 != X0
       => ! [X1,X2] :
            ( ( aNaturalNumber0(X2)
              & aNaturalNumber0(X1) )
           => ( ( sdtasdt0(X1,X0) = sdtasdt0(X2,X0)
                | sdtasdt0(X0,X1) = sdtasdt0(X0,X2) )
             => X1 = X2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulCanc) ).

fof(f16,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( sz00 = sdtpldt0(X0,X1)
       => ( sz00 = X1
          & sz00 = X0 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroAdd) ).

fof(f21,axiom,
    ( aNaturalNumber0(xn)
    & aNaturalNumber0(xm) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__745) ).

fof(f22,conjecture,
    ( ( sdtlseqdt0(xn,xm)
      & ? [X0] :
          ( xm = sdtpldt0(xn,X0)
          & aNaturalNumber0(X0) )
      & sdtlseqdt0(xm,xn)
      & ? [X0] :
          ( xn = sdtpldt0(xm,X0)
          & aNaturalNumber0(X0) ) )
   => xm = xn ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f23,negated_conjecture,
    ~ ( ( sdtlseqdt0(xn,xm)
        & ? [X0] :
            ( xm = sdtpldt0(xn,X0)
            & aNaturalNumber0(X0) )
        & sdtlseqdt0(xm,xn)
        & ? [X0] :
            ( xn = sdtpldt0(xm,X0)
            & aNaturalNumber0(X0) ) )
     => xm = xn ),
    inference(negated_conjecture,[],[f22]) ).

fof(f25,plain,
    ~ ( ( sdtlseqdt0(xn,xm)
        & ? [X0] :
            ( xm = sdtpldt0(xn,X0)
            & aNaturalNumber0(X0) )
        & sdtlseqdt0(xm,xn)
        & ? [X1] :
            ( xn = sdtpldt0(xm,X1)
            & aNaturalNumber0(X1) ) )
     => xm = xn ),
    inference(rectify,[],[f23]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtpldt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtpldt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f26]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f30]) ).

fof(f32,plain,
    ! [X0,X1,X2] :
      ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f33,plain,
    ! [X0,X1,X2] :
      ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f32]) ).

fof(f34,plain,
    ! [X0] :
      ( ( sdtpldt0(sz00,X0) = X0
        & sdtpldt0(X0,sz00) = X0 )
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f40,plain,
    ! [X0] :
      ( ( sz00 = sdtasdt0(sz00,X0)
        & sz00 = sdtasdt0(X0,sz00) )
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f43,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
        & sdtpldt0(X0,X1) != sdtpldt0(X0,X2) )
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f44,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
        & sdtpldt0(X0,X1) != sdtpldt0(X0,X2) )
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f43]) ).

fof(f45,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( X1 = X2
          | ( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
            & sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
          | ~ aNaturalNumber0(X2)
          | ~ aNaturalNumber0(X1) )
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f46,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( X1 = X2
          | ( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
            & sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
          | ~ aNaturalNumber0(X2)
          | ~ aNaturalNumber0(X1) )
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f45]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( ( sz00 = X1
        & sz00 = X0 )
      | sz00 != sdtpldt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( ( sz00 = X1
        & sz00 = X0 )
      | sz00 != sdtpldt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f47]) ).

fof(f56,plain,
    ( xm != xn
    & sdtlseqdt0(xn,xm)
    & ? [X0] :
        ( xm = sdtpldt0(xn,X0)
        & aNaturalNumber0(X0) )
    & sdtlseqdt0(xm,xn)
    & ? [X1] :
        ( xn = sdtpldt0(xm,X1)
        & aNaturalNumber0(X1) ) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f57,plain,
    ( xm != xn
    & sdtlseqdt0(xn,xm)
    & ? [X0] :
        ( xm = sdtpldt0(xn,X0)
        & aNaturalNumber0(X0) )
    & sdtlseqdt0(xm,xn)
    & ? [X1] :
        ( xn = sdtpldt0(xm,X1)
        & aNaturalNumber0(X1) ) ),
    inference(flattening,[],[f56]) ).

fof(f64,plain,
    ( ? [X0] :
        ( xm = sdtpldt0(xn,X0)
        & aNaturalNumber0(X0) )
   => ( xm = sdtpldt0(xn,sK1)
      & aNaturalNumber0(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f65,plain,
    ( ? [X1] :
        ( xn = sdtpldt0(xm,X1)
        & aNaturalNumber0(X1) )
   => ( xn = sdtpldt0(xm,sK2)
      & aNaturalNumber0(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f66,plain,
    ( xm != xn
    & sdtlseqdt0(xn,xm)
    & xm = sdtpldt0(xn,sK1)
    & aNaturalNumber0(sK1)
    & sdtlseqdt0(xm,xn)
    & xn = sdtpldt0(xm,sK2)
    & aNaturalNumber0(sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f57,f65,f64]) ).

fof(f67,plain,
    aNaturalNumber0(sz00),
    inference(cnf_transformation,[],[f2]) ).

fof(f70,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtpldt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f73,plain,
    ! [X2,X0,X1] :
      ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f74,plain,
    ! [X0] :
      ( sdtpldt0(X0,sz00) = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f81,plain,
    ! [X0] :
      ( sz00 = sdtasdt0(sz00,X0)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f84,plain,
    ! [X2,X0,X1] :
      ( X1 = X2
      | sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f87,plain,
    ! [X2,X0,X1] :
      ( X1 = X2
      | sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( sz00 = X0
      | sz00 != sdtpldt0(X0,X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f98,plain,
    aNaturalNumber0(xm),
    inference(cnf_transformation,[],[f21]) ).

fof(f99,plain,
    aNaturalNumber0(xn),
    inference(cnf_transformation,[],[f21]) ).

fof(f100,plain,
    aNaturalNumber0(sK2),
    inference(cnf_transformation,[],[f66]) ).

fof(f101,plain,
    xn = sdtpldt0(xm,sK2),
    inference(cnf_transformation,[],[f66]) ).

fof(f103,plain,
    aNaturalNumber0(sK1),
    inference(cnf_transformation,[],[f66]) ).

fof(f104,plain,
    xm = sdtpldt0(xn,sK1),
    inference(cnf_transformation,[],[f66]) ).

fof(f106,plain,
    xm != xn,
    inference(cnf_transformation,[],[f66]) ).

cnf(c_49,plain,
    aNaturalNumber0(sz00),
    inference(cnf_transformation,[],[f67]) ).

cnf(c_52,plain,
    ( ~ aNaturalNumber0(X0)
    | ~ aNaturalNumber0(X1)
    | aNaturalNumber0(sdtpldt0(X0,X1)) ),
    inference(cnf_transformation,[],[f70]) ).

cnf(c_54,plain,
    ( ~ aNaturalNumber0(X0)
    | ~ aNaturalNumber0(X1)
    | sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
    inference(cnf_transformation,[],[f72]) ).

cnf(c_55,plain,
    ( ~ aNaturalNumber0(X0)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
    inference(cnf_transformation,[],[f73]) ).

cnf(c_57,plain,
    ( ~ aNaturalNumber0(X0)
    | sdtpldt0(X0,sz00) = X0 ),
    inference(cnf_transformation,[],[f74]) ).

cnf(c_62,plain,
    ( ~ aNaturalNumber0(X0)
    | sdtasdt0(sz00,X0) = sz00 ),
    inference(cnf_transformation,[],[f81]) ).

cnf(c_67,plain,
    ( sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
    | ~ aNaturalNumber0(X0)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | X1 = X2 ),
    inference(cnf_transformation,[],[f84]) ).

cnf(c_68,plain,
    ( sdtasdt0(X0,X1) != sdtasdt0(X2,X1)
    | ~ aNaturalNumber0(X0)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | X0 = X2
    | X1 = sz00 ),
    inference(cnf_transformation,[],[f87]) ).

cnf(c_71,plain,
    ( sdtpldt0(X0,X1) != sz00
    | ~ aNaturalNumber0(X0)
    | ~ aNaturalNumber0(X1)
    | X0 = sz00 ),
    inference(cnf_transformation,[],[f88]) ).

cnf(c_80,plain,
    aNaturalNumber0(xn),
    inference(cnf_transformation,[],[f99]) ).

cnf(c_81,plain,
    aNaturalNumber0(xm),
    inference(cnf_transformation,[],[f98]) ).

cnf(c_82,negated_conjecture,
    xn != xm,
    inference(cnf_transformation,[],[f106]) ).

cnf(c_84,negated_conjecture,
    sdtpldt0(xn,sK1) = xm,
    inference(cnf_transformation,[],[f104]) ).

cnf(c_85,negated_conjecture,
    aNaturalNumber0(sK1),
    inference(cnf_transformation,[],[f103]) ).

cnf(c_87,negated_conjecture,
    sdtpldt0(xm,sK2) = xn,
    inference(cnf_transformation,[],[f101]) ).

cnf(c_88,negated_conjecture,
    aNaturalNumber0(sK2),
    inference(cnf_transformation,[],[f100]) ).

cnf(c_1296,plain,
    sdtpldt0(xn,sz00) = xn,
    inference(superposition,[status(thm)],[c_80,c_57]) ).

cnf(c_1297,plain,
    sdtpldt0(xm,sz00) = xm,
    inference(superposition,[status(thm)],[c_81,c_57]) ).

cnf(c_1329,plain,
    sdtasdt0(sz00,sK2) = sz00,
    inference(superposition,[status(thm)],[c_88,c_62]) ).

cnf(c_1475,plain,
    ( ~ aNaturalNumber0(X0)
    | sdtpldt0(X0,sK1) = sdtpldt0(sK1,X0) ),
    inference(superposition,[status(thm)],[c_85,c_54]) ).

cnf(c_1527,plain,
    sdtpldt0(sK1,sK2) = sdtpldt0(sK2,sK1),
    inference(superposition,[status(thm)],[c_88,c_1475]) ).

cnf(c_1548,plain,
    ( ~ aNaturalNumber0(sK1)
    | ~ aNaturalNumber0(sK2)
    | aNaturalNumber0(sdtpldt0(sK1,sK2)) ),
    inference(superposition,[status(thm)],[c_1527,c_52]) ).

cnf(c_1550,plain,
    aNaturalNumber0(sdtpldt0(sK1,sK2)),
    inference(forward_subsumption_resolution,[status(thm)],[c_1548,c_88,c_85]) ).

cnf(c_2215,plain,
    ( sdtpldt0(sK1,sK2) != sz00
    | ~ aNaturalNumber0(sK1)
    | ~ aNaturalNumber0(sK2)
    | sz00 = sK2 ),
    inference(superposition,[status(thm)],[c_1527,c_71]) ).

cnf(c_2221,plain,
    ( sdtpldt0(sK1,sK2) != sz00
    | sz00 = sK2 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2215,c_88,c_85]) ).

cnf(c_2473,plain,
    ( ~ aNaturalNumber0(X0)
    | ~ aNaturalNumber0(X1)
    | sdtpldt0(sdtpldt0(X0,sK1),X1) = sdtpldt0(X0,sdtpldt0(sK1,X1)) ),
    inference(superposition,[status(thm)],[c_85,c_55]) ).

cnf(c_3800,plain,
    ( sdtasdt0(X0,sK2) != sz00
    | ~ aNaturalNumber0(X0)
    | ~ aNaturalNumber0(sz00)
    | ~ aNaturalNumber0(sK2)
    | X0 = sz00
    | sz00 = sK2 ),
    inference(superposition,[status(thm)],[c_1329,c_68]) ).

cnf(c_3812,plain,
    ( sdtasdt0(X0,sK2) != sz00
    | ~ aNaturalNumber0(X0)
    | X0 = sz00
    | sz00 = sK2 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3800,c_88,c_49]) ).

cnf(c_9262,plain,
    ( ~ aNaturalNumber0(X0)
    | sdtpldt0(sdtpldt0(X0,sK1),sK2) = sdtpldt0(X0,sdtpldt0(sK1,sK2)) ),
    inference(superposition,[status(thm)],[c_88,c_2473]) ).

cnf(c_10228,plain,
    sdtpldt0(sdtpldt0(xn,sK1),sK2) = sdtpldt0(xn,sdtpldt0(sK1,sK2)),
    inference(superposition,[status(thm)],[c_80,c_9262]) ).

cnf(c_10252,plain,
    sdtpldt0(xn,sdtpldt0(sK1,sK2)) = xn,
    inference(light_normalisation,[status(thm)],[c_10228,c_84,c_87]) ).

cnf(c_10299,plain,
    ( sdtpldt0(xn,X0) != xn
    | ~ aNaturalNumber0(sdtpldt0(sK1,sK2))
    | ~ aNaturalNumber0(X0)
    | ~ aNaturalNumber0(xn)
    | sdtpldt0(sK1,sK2) = X0 ),
    inference(superposition,[status(thm)],[c_10252,c_67]) ).

cnf(c_10304,plain,
    ( sdtpldt0(xn,X0) != xn
    | ~ aNaturalNumber0(X0)
    | sdtpldt0(sK1,sK2) = X0 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10299,c_80,c_1550]) ).

cnf(c_10315,plain,
    ( sdtpldt0(xn,sz00) != xn
    | ~ aNaturalNumber0(sz00)
    | sdtpldt0(sK1,sK2) = sz00 ),
    inference(instantiation,[status(thm)],[c_10304]) ).

cnf(c_13131,plain,
    sz00 = sK2,
    inference(global_subsumption_just,[status(thm)],[c_3812,c_49,c_1296,c_2221,c_10315]) ).

cnf(c_13296,plain,
    sdtpldt0(xm,sz00) = xn,
    inference(demodulation,[status(thm)],[c_87,c_13131]) ).

cnf(c_13311,plain,
    xn = xm,
    inference(light_normalisation,[status(thm)],[c_13296,c_1297]) ).

cnf(c_13312,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_13311,c_82]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM459+2 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n023.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri Aug 25 13:30:57 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.24/1.17  % SZS status Started for theBenchmark.p
% 4.24/1.17  % SZS status Theorem for theBenchmark.p
% 4.24/1.17  
% 4.24/1.17  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 4.24/1.17  
% 4.24/1.17  ------  iProver source info
% 4.24/1.17  
% 4.24/1.17  git: date: 2023-05-31 18:12:56 +0000
% 4.24/1.17  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 4.24/1.17  git: non_committed_changes: false
% 4.24/1.17  git: last_make_outside_of_git: false
% 4.24/1.17  
% 4.24/1.17  ------ Parsing...
% 4.24/1.17  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 4.24/1.17  
% 4.24/1.17  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 4.24/1.17  
% 4.24/1.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.24/1.17  
% 4.24/1.17  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.24/1.17  ------ Proving...
% 4.24/1.17  ------ Problem Properties 
% 4.24/1.17  
% 4.24/1.17  
% 4.24/1.17  clauses                                 40
% 4.24/1.17  conjectures                             7
% 4.24/1.17  EPR                                     11
% 4.24/1.17  Horn                                    37
% 4.24/1.17  unary                                   12
% 4.24/1.17  binary                                  7
% 4.24/1.17  lits                                    111
% 4.24/1.17  lits eq                                 36
% 4.24/1.17  fd_pure                                 0
% 4.24/1.17  fd_pseudo                               0
% 4.24/1.17  fd_cond                                 3
% 4.24/1.17  fd_pseudo_cond                          4
% 4.24/1.17  AC symbols                              0
% 4.24/1.17  
% 4.24/1.17  ------ Schedule dynamic 5 is on 
% 4.24/1.17  
% 4.24/1.17  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.24/1.17  
% 4.24/1.17  
% 4.24/1.17  ------ 
% 4.24/1.17  Current options:
% 4.24/1.17  ------ 
% 4.24/1.17  
% 4.24/1.17  
% 4.24/1.17  
% 4.24/1.17  
% 4.24/1.17  ------ Proving...
% 4.24/1.17  
% 4.24/1.17  
% 4.24/1.17  % SZS status Theorem for theBenchmark.p
% 4.24/1.17  
% 4.24/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.24/1.17  
% 4.24/1.17  
%------------------------------------------------------------------------------