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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWX035+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n017.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 03:32:35 PM UTC 2026

% Result   : Theorem 6.37s 2.78s
% Output   : CNFRefutation 6.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   83 (  23 unt;   4 def)
%            Number of atoms       :  316 ( 104 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  300 ( 122   ~; 116   |;  49   &)
%                                         (   7 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   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  :    9 (   7 usr;   5 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-3 aty)
%            Number of variables   :  161 (   0 sgn 145   !;  16   ?;  34   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f15,axiom,
    ! [X0,X1,X2] :
      ( times_succeeds(X0,X1,X2)
    <=> ( ( X2 = '0'
          & X0 = '0' )
        | ? [X3,X4] :
            ( plus_succeeds(X1,X4,X2)
            & times_succeeds(X3,X1,X4)
            & X0 = s(X3) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',id15) ).

fof(f27,axiom,
    ! [X0] :
      ( nat_succeeds(X0)
    <=> ( X0 = '0'
        | ? [X1] :
            ( nat_succeeds(X1)
            & X0 = s(X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',id27) ).

fof(f30,axiom,
    ! [X0,X1,X2] :
      ( nat_succeeds(X0)
     => ( '@+'(X0,X1) = X2
      <=> plus_succeeds(X0,X1,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','(@+)/2') ).

fof(f31,axiom,
    ! [X0,X1,X2] :
      ( ( nat_succeeds(X1)
        & nat_succeeds(X0) )
     => ( '@*'(X0,X1) = X2
      <=> times_succeeds(X0,X1,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','(@*)/2') ).

fof(f44,axiom,
    ! [X0,X1,X2,X3] :
      ( ( plus_succeeds(X0,X1,X3)
        & plus_succeeds(X0,X1,X2) )
     => X2 = X3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','lemma-(plus:uniqueness)') ).

fof(f59,axiom,
    ! [X0,X1,X2,X3] :
      ( ( times_succeeds(X0,X1,X3)
        & times_succeeds(X0,X1,X2) )
     => X2 = X3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','lemma-(times:uniqueness)') ).

fof(f62,conjecture,
    ! [X0,X1] :
      ( ( nat_succeeds(X1)
        & nat_succeeds(X0) )
     => '@*'(s(X0),X1) = '@+'(X1,'@*'(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','corollary-(times:successor)') ).

fof(f63,negated_conjecture,
    ~ ! [X0,X1] :
        ( ( nat_succeeds(X1)
          & nat_succeeds(X0) )
       => '@*'(s(X0),X1) = '@+'(X1,'@*'(X0,X1)) ),
    inference(negated_conjecture,[status(cth)],[f62]) ).

fof(f90,plain,
    ! [X0,X1,X2] :
      ( ~ nat_succeeds(X0)
      | ( '@+'(X0,X1) = X2
      <=> plus_succeeds(X0,X1,X2) ) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f91,plain,
    ! [X0,X1,X2] :
      ( ~ nat_succeeds(X1)
      | ~ nat_succeeds(X0)
      | ( '@*'(X0,X1) = X2
      <=> times_succeeds(X0,X1,X2) ) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f92,plain,
    ! [X0,X1,X2] :
      ( ~ nat_succeeds(X1)
      | ~ nat_succeeds(X0)
      | ( '@*'(X0,X1) = X2
      <=> times_succeeds(X0,X1,X2) ) ),
    inference(flattening,[],[f91]) ).

fof(f109,plain,
    ! [X0,X1,X2,X3] :
      ( ~ plus_succeeds(X0,X1,X3)
      | ~ plus_succeeds(X0,X1,X2)
      | X2 = X3 ),
    inference(ennf_transformation,[],[f44]) ).

fof(f110,plain,
    ! [X0,X1,X2,X3] :
      ( ~ plus_succeeds(X0,X1,X3)
      | ~ plus_succeeds(X0,X1,X2)
      | X2 = X3 ),
    inference(flattening,[],[f109]) ).

fof(f133,plain,
    ! [X0,X1,X2,X3] :
      ( ~ times_succeeds(X0,X1,X3)
      | ~ times_succeeds(X0,X1,X2)
      | X2 = X3 ),
    inference(ennf_transformation,[],[f59]) ).

fof(f134,plain,
    ! [X0,X1,X2,X3] :
      ( ~ times_succeeds(X0,X1,X3)
      | ~ times_succeeds(X0,X1,X2)
      | X2 = X3 ),
    inference(flattening,[],[f133]) ).

fof(f137,plain,
    ? [X0,X1] :
      ( nat_succeeds(X1)
      & nat_succeeds(X0)
      & '@*'(s(X0),X1) != '@+'(X1,'@*'(X0,X1)) ),
    inference(ennf_transformation,[],[f63]) ).

fof(f138,plain,
    ? [X0,X1] :
      ( nat_succeeds(X1)
      & nat_succeeds(X0)
      & '@*'(s(X0),X1) != '@+'(X1,'@*'(X0,X1)) ),
    inference(flattening,[],[f137]) ).

fof(f140,plain,
    ! [X0,X1,X2] :
      ( ( ~ times_succeeds(X0,X1,X2)
        | ( X2 = '0'
          & X0 = '0' )
        | ? [X3,X4] :
            ( plus_succeeds(X1,X4,X2)
            & times_succeeds(X3,X1,X4)
            & X0 = s(X3) ) )
      & ( ( ( '0' != X2
            | '0' != X0 )
          & ! [X3,X4] :
              ( ~ plus_succeeds(X1,X4,X2)
              | ~ times_succeeds(X3,X1,X4)
              | s(X3) != X0 ) )
        | times_succeeds(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f15]) ).

fof(f141,plain,
    ! [X0,X1,X2] :
      ( ( ~ times_succeeds(X0,X1,X2)
        | ( X2 = '0'
          & X0 = '0' )
        | ? [X3,X4] :
            ( plus_succeeds(X1,X4,X2)
            & times_succeeds(X3,X1,X4)
            & X0 = s(X3) ) )
      & ( ( ( '0' != X2
            | '0' != X0 )
          & ! [X3,X4] :
              ( ~ plus_succeeds(X1,X4,X2)
              | ~ times_succeeds(X3,X1,X4)
              | s(X3) != X0 ) )
        | times_succeeds(X0,X1,X2) ) ),
    inference(flattening,[],[f140]) ).

fof(f142,plain,
    ! [X0,X1,X2] :
      ( ( ~ times_succeeds(X0,X1,X2)
        | ( X2 = '0'
          & X0 = '0' )
        | ? [X5,X6] :
            ( plus_succeeds(X1,X6,X2)
            & times_succeeds(X5,X1,X6)
            & s(X5) = X0 ) )
      & ( ( ( '0' != X2
            | '0' != X0 )
          & ! [X3,X4] :
              ( ~ plus_succeeds(X1,X4,X2)
              | ~ times_succeeds(X3,X1,X4)
              | s(X3) != X0 ) )
        | times_succeeds(X0,X1,X2) ) ),
    inference(rectify,[],[f141]) ).

fof(f143,plain,
    ! [X0,X1,X2] :
      ( ( ~ times_succeeds(X0,X1,X2)
        | ( X2 = '0'
          & X0 = '0' )
        | ( plus_succeeds(X1,sK1(X0,X1,X2),X2)
          & times_succeeds(sK0(X0,X1,X2),X1,sK1(X0,X1,X2))
          & s(sK0(X0,X1,X2)) = X0 ) )
      & ( ( ( '0' != X2
            | '0' != X0 )
          & ! [X3,X4] :
              ( ~ plus_succeeds(X1,X4,X2)
              | ~ times_succeeds(X3,X1,X4)
              | s(X3) != X0 ) )
        | times_succeeds(X0,X1,X2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X5,sK0(X0,X1,X2)),skolemize(X6,sK1(X0,X1,X2))],[f142]) ).

fof(f184,plain,
    ! [X0] :
      ( ( ~ nat_succeeds(X0)
        | X0 = '0'
        | ? [X1] :
            ( nat_succeeds(X1)
            & X0 = s(X1) ) )
      & ( ( '0' != X0
          & ! [X1] :
              ( ~ nat_succeeds(X1)
              | s(X1) != X0 ) )
        | nat_succeeds(X0) ) ),
    inference(nnf_transformation,[],[f27]) ).

fof(f185,plain,
    ! [X0] :
      ( ( ~ nat_succeeds(X0)
        | X0 = '0'
        | ? [X1] :
            ( nat_succeeds(X1)
            & X0 = s(X1) ) )
      & ( ( '0' != X0
          & ! [X1] :
              ( ~ nat_succeeds(X1)
              | s(X1) != X0 ) )
        | nat_succeeds(X0) ) ),
    inference(flattening,[],[f184]) ).

fof(f186,plain,
    ! [X0] :
      ( ( ~ nat_succeeds(X0)
        | X0 = '0'
        | ? [X2] :
            ( nat_succeeds(X2)
            & s(X2) = X0 ) )
      & ( ( '0' != X0
          & ! [X1] :
              ( ~ nat_succeeds(X1)
              | s(X1) != X0 ) )
        | nat_succeeds(X0) ) ),
    inference(rectify,[],[f185]) ).

fof(f187,plain,
    ! [X0] :
      ( ( ~ nat_succeeds(X0)
        | X0 = '0'
        | ( nat_succeeds(sK26(X0))
          & s(sK26(X0)) = X0 ) )
      & ( ( '0' != X0
          & ! [X1] :
              ( ~ nat_succeeds(X1)
              | s(X1) != X0 ) )
        | nat_succeeds(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK26]),skolemize(X2,sK26(X0))],[f186]) ).

fof(f195,plain,
    ! [X0,X1,X2] :
      ( ~ nat_succeeds(X0)
      | ( ( '@+'(X0,X1) != X2
          | plus_succeeds(X0,X1,X2) )
        & ( ~ plus_succeeds(X0,X1,X2)
          | '@+'(X0,X1) = X2 ) ) ),
    inference(nnf_transformation,[],[f90]) ).

fof(f196,plain,
    ! [X0,X1,X2] :
      ( ~ nat_succeeds(X1)
      | ~ nat_succeeds(X0)
      | ( ( '@*'(X0,X1) != X2
          | times_succeeds(X0,X1,X2) )
        & ( ~ times_succeeds(X0,X1,X2)
          | '@*'(X0,X1) = X2 ) ) ),
    inference(nnf_transformation,[],[f92]) ).

fof(f201,plain,
    ( nat_succeeds(sK35)
    & nat_succeeds(sK34)
    & '@*'(s(sK34),sK35) != '@+'(sK35,'@*'(sK34,sK35)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK34,sK35]),skolemize(X0,sK34),skolemize(X1,sK35)],[f138]) ).

fof(f224,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ plus_succeeds(X1,X4,X2)
      | ~ times_succeeds(X3,X1,X4)
      | s(X3) != X0
      | times_succeeds(X0,X1,X2) ),
    inference(cnf_transformation,[],[f143]) ).

fof(f295,plain,
    ! [X0,X1] :
      ( ~ nat_succeeds(X1)
      | s(X1) != X0
      | nat_succeeds(X0) ),
    inference(cnf_transformation,[],[f187]) ).

fof(f303,plain,
    ! [X2,X0,X1] :
      ( ~ nat_succeeds(X0)
      | '@+'(X0,X1) != X2
      | plus_succeeds(X0,X1,X2) ),
    inference(cnf_transformation,[],[f195]) ).

fof(f305,plain,
    ! [X2,X0,X1] :
      ( ~ nat_succeeds(X1)
      | ~ nat_succeeds(X0)
      | '@*'(X0,X1) != X2
      | times_succeeds(X0,X1,X2) ),
    inference(cnf_transformation,[],[f196]) ).

fof(f319,plain,
    ! [X2,X3,X0,X1] :
      ( ~ plus_succeeds(X0,X1,X3)
      | ~ plus_succeeds(X0,X1,X2)
      | X2 = X3 ),
    inference(cnf_transformation,[],[f110]) ).

fof(f334,plain,
    ! [X2,X3,X0,X1] :
      ( ~ times_succeeds(X0,X1,X3)
      | ~ times_succeeds(X0,X1,X2)
      | X2 = X3 ),
    inference(cnf_transformation,[],[f134]) ).

fof(f341,plain,
    nat_succeeds(sK35),
    inference(cnf_transformation,[],[f201]) ).

fof(f342,plain,
    nat_succeeds(sK34),
    inference(cnf_transformation,[],[f201]) ).

fof(f343,plain,
    '@*'(s(sK34),sK35) != '@+'(sK35,'@*'(sK34,sK35)),
    inference(cnf_transformation,[],[f201]) ).

fof(f344,plain,
    ! [X2,X3,X1,X4] :
      ( ~ plus_succeeds(X1,X4,X2)
      | ~ times_succeeds(X3,X1,X4)
      | times_succeeds(s(X3),X1,X2) ),
    inference(equality_resolution,[],[f224]) ).

fof(f380,plain,
    ! [X1] :
      ( ~ nat_succeeds(X1)
      | nat_succeeds(s(X1)) ),
    inference(equality_resolution,[],[f295]) ).

fof(f385,plain,
    ! [X0,X1] :
      ( ~ nat_succeeds(X0)
      | plus_succeeds(X0,X1,'@+'(X0,X1)) ),
    inference(equality_resolution,[],[f303]) ).

fof(f386,plain,
    ! [X0,X1] :
      ( ~ nat_succeeds(X1)
      | ~ nat_succeeds(X0)
      | times_succeeds(X0,X1,'@*'(X0,X1)) ),
    inference(equality_resolution,[],[f305]) ).

tcf(c_64,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( times_succeeds(s(X0),X1,X3)
      | ~ plus_succeeds(X1,X2,X3)
      | ~ times_succeeds(X0,X1,X2) ),
    inference(cnf_transformation,[],[f344]) ).

tcf(c_139,plain,
    ! [X0: $i] :
      ( nat_succeeds(s(X0))
      | ~ nat_succeeds(X0) ),
    inference(cnf_transformation,[],[f380]) ).

tcf(c_151,plain,
    ! [X0: $i,X1: $i] :
      ( plus_succeeds(X0,X1,'@+'(X0,X1))
      | ~ nat_succeeds(X0) ),
    inference(cnf_transformation,[],[f385]) ).

tcf(c_153,plain,
    ! [X0: $i,X1: $i] :
      ( times_succeeds(X0,X1,'@*'(X0,X1))
      | ~ nat_succeeds(X1)
      | ~ nat_succeeds(X0) ),
    inference(cnf_transformation,[],[f386]) ).

tcf(c_166,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X2 = X3 )
      | ~ plus_succeeds(X0,X1,X3)
      | ~ plus_succeeds(X0,X1,X2) ),
    inference(cnf_transformation,[],[f319]) ).

tcf(c_181,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X2 = X3 )
      | ~ times_succeeds(X0,X1,X3)
      | ~ times_succeeds(X0,X1,X2) ),
    inference(cnf_transformation,[],[f334]) ).

tcf(c_188,negated_conjecture,
    '@+'(sK35,'@*'(sK34,sK35)) != '@*'(s(sK34),sK35),
    inference(cnf_transformation,[],[f343]) ).

tcf(c_189,negated_conjecture,
    nat_succeeds(sK34),
    inference(cnf_transformation,[],[f342]) ).

tcf(c_190,negated_conjecture,
    nat_succeeds(sK35),
    inference(cnf_transformation,[],[f341]) ).

tcf(c_3385,definition,
    iPr_def_12 = '@*'(sK34,sK35),
    introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).

tcf(c_3386,definition,
    iPr_def_13 = '@+'(sK35,iPr_def_12),
    introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).

tcf(c_3387,definition,
    iPr_def_14 = s(sK34),
    introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).

tcf(c_3388,definition,
    iPr_def_15 = '@*'(iPr_def_14,sK35),
    introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).

tcf(c_3389,negated_conjecture,
    nat_succeeds(sK35),
    inference(demodulation,[status(thm)],[c_190]) ).

tcf(c_3390,negated_conjecture,
    nat_succeeds(sK34),
    inference(demodulation,[status(thm)],[c_189]) ).

tcf(c_3391,negated_conjecture,
    iPr_def_13 != iPr_def_15,
    inference(demodulation,[status(thm)],[c_188,c_3387,c_3388,c_3385,c_3386]) ).

tcf(c_3392,plain,
    ! [X0: $i] : X0 = X0,
    theory(equality) ).

tcf(c_3394,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X2 = X0 )
      | ( X2 != X1 )
      | ( X0 != X1 ) ),
    theory(equality) ).

tcf(c_5816,plain,
    ( nat_succeeds(iPr_def_14)
    | ~ nat_succeeds(sK34) ),
    inference(superposition,[status(thm)],[c_3387,c_139]) ).

tcf(c_5819,plain,
    nat_succeeds(iPr_def_14),
    inference(forward_subsumption_resolution,[status(thm)],[c_5816,c_3390]) ).

tcf(c_6163,plain,
    ( plus_succeeds(sK35,iPr_def_12,iPr_def_13)
    | ~ nat_succeeds(sK35) ),
    inference(superposition,[status(thm)],[c_3386,c_151]) ).

tcf(c_6165,plain,
    plus_succeeds(sK35,iPr_def_12,iPr_def_13),
    inference(forward_subsumption_resolution,[status(thm)],[c_6163,c_3389]) ).

tcf(c_6883,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = iPr_def_15 )
      | ( iPr_def_15 != X0 )
      | ( iPr_def_13 != X0 ) ),
    inference(instantiation,[status(thm)],[c_3394]) ).

tcf(c_7292,plain,
    ( times_succeeds(sK34,sK35,iPr_def_12)
    | ~ nat_succeeds(sK35)
    | ~ nat_succeeds(sK34) ),
    inference(superposition,[status(thm)],[c_3385,c_153]) ).

tcf(c_7294,plain,
    ( times_succeeds(iPr_def_14,sK35,iPr_def_15)
    | ~ nat_succeeds(iPr_def_14)
    | ~ nat_succeeds(sK35) ),
    inference(superposition,[status(thm)],[c_3388,c_153]) ).

tcf(c_7308,plain,
    times_succeeds(iPr_def_14,sK35,iPr_def_15),
    inference(forward_subsumption_resolution,[status(thm)],[c_7294,c_5819,c_3389]) ).

tcf(c_7309,plain,
    times_succeeds(sK34,sK35,iPr_def_12),
    inference(forward_subsumption_resolution,[status(thm)],[c_7292,c_3389,c_3390]) ).

tcf(c_7470,plain,
    iPr_def_13 = iPr_def_13,
    inference(instantiation,[status(thm)],[c_3392]) ).

tcf(c_7471,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_13 = X0 )
      | ( iPr_def_13 != X1 )
      | ( X0 != X1 ) ),
    inference(instantiation,[status(thm)],[c_3394]) ).

tcf(c_8635,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_13 )
      | ~ plus_succeeds(sK35,iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_6165,c_166]) ).

tcf(c_9359,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_15 )
      | ~ times_succeeds(iPr_def_14,sK35,X0) ),
    inference(superposition,[status(thm)],[c_7308,c_181]) ).

tcf(c_9437,plain,
    ! [X0: $i] :
      ( times_succeeds(s(sK34),sK35,X0)
      | ~ plus_succeeds(sK35,iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_7309,c_64]) ).

tcf(c_9441,plain,
    ! [X0: $i] :
      ( times_succeeds(iPr_def_14,sK35,X0)
      | ~ plus_succeeds(sK35,iPr_def_12,X0) ),
    inference(light_normalisation,[status(thm)],[c_9437,c_3387]) ).

tcf(c_9957,plain,
    ( plus_succeeds(sK35,iPr_def_12,iPr_def_13)
    | ~ nat_succeeds(sK35) ),
    inference(superposition,[status(thm)],[c_3386,c_151]) ).

tcf(c_9959,plain,
    plus_succeeds(sK35,iPr_def_12,iPr_def_13),
    inference(forward_subsumption_resolution,[status(thm)],[c_9957,c_3389]) ).

tcf(c_10437,plain,
    ! [X0: $i] :
      ( ( iPr_def_13 = X0 )
      | ( iPr_def_13 != iPr_def_13 )
      | ( X0 != iPr_def_13 ) ),
    inference(instantiation,[status(thm)],[c_7471]) ).

tcf(c_10634,plain,
    ! [X0: $i,X1: $i] :
      ( ( iPr_def_15 = X0 )
      | ( iPr_def_15 != X1 )
      | ( X0 != X1 ) ),
    inference(instantiation,[status(thm)],[c_3394]) ).

tcf(c_11987,plain,
    iPr_def_15 = iPr_def_15,
    inference(instantiation,[status(thm)],[c_3392]) ).

tcf(c_20482,plain,
    ! [X0: $i] :
      ( ( iPr_def_15 = X0 )
      | ( iPr_def_15 != iPr_def_15 )
      | ( X0 != iPr_def_15 ) ),
    inference(instantiation,[status(thm)],[c_10634]) ).

tcf(c_29962,plain,
    ! [X0: $i] :
      ( ( X0 = iPr_def_13 )
      | ~ plus_succeeds(sK35,iPr_def_12,X0) ),
    inference(superposition,[status(thm)],[c_9959,c_166]) ).

tcf(c_30134,plain,
    ! [X0: $i] : ~ plus_succeeds(sK35,iPr_def_12,X0),
    inference(global_subsumption_just,[status(thm)],[c_29962,c_3391,c_6883,c_7470,c_8635,c_9359,c_9441,c_10437,c_11987,c_20482]) ).

tcf(c_30137,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_9959,c_30134]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWX035+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.35  % Computer : n017.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Thu Sep 24 23:16:47 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 0.08/0.35  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39  Running first-order theorem proving
% 0.12/0.39  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
% 0.12/0.40  
% 0.12/0.40  % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40  
% 0.12/0.40  % Detected problem language: tptp
% 0.12/0.41  % Proving...
% 6.37/2.78  % SZS status Started for theBenchmark.p
% 6.37/2.78  % SZS status Theorem for theBenchmark.p
% 6.37/2.78  
% 6.37/2.78  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 6.37/2.78  
% 6.37/2.78  % ------  iProver source info
% 6.37/2.78  
% 6.37/2.78  % git: date: 2026-07-19 20:42:38 +0200
% 6.37/2.78  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 6.37/2.78  % git: non_committed_changes: false
% 6.37/2.78  
% 6.37/2.78  % ------ Parsing...
% 6.37/2.78  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 6.37/2.78  
% 6.37/2.78  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 11 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e % 
% 6.37/2.78  
% 6.37/2.78  % ------ Preprocessing... gs_s  sp: 4 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 6.37/2.78  
% 6.37/2.78  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 6.37/2.78  % ------ Proving...
% 6.37/2.78  % ------ Problem Properties 
% 6.37/2.78  
% 6.37/2.78  % 
% 6.37/2.78  % clauses                               139
% 6.37/2.78  % conjectures                           3
% 6.37/2.78  % EPR                                   35
% 6.37/2.78  % Horn                                  74
% 6.37/2.78  % unary                                 19
% 6.37/2.78  % binary                                43
% 6.37/2.78  % lits                                  340
% 6.37/2.78  % lits eq                               110
% 6.37/2.78  % fd_pure                               0
% 6.37/2.78  % fd_pseudo                             0
% 6.37/2.78  % fd_cond                               16
% 6.37/2.78  % fd_pseudo_cond                        8
% 6.37/2.78  % AC symbols                            0
% 6.37/2.78  
% 6.37/2.78  % ------ Schedule dynamic 5 is on 
% 6.37/2.78  
% 6.37/2.78  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 6.37/2.78  
% 6.37/2.78  
% 6.37/2.78  % ------ 
% 6.37/2.78  % Current options:
% 6.37/2.78  % ------ 
% 6.37/2.78  
% 6.37/2.78  
% 6.37/2.78  % 
% 6.37/2.78  
% 6.37/2.78  % ------ Proving...
% 6.37/2.78  % 
% 6.37/2.78  
% 6.37/2.78  % SZS status Theorem for theBenchmark.p
% 6.37/2.78  
% 6.37/2.78  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.37/2.78  
% 6.37/2.78  
%------------------------------------------------------------------------------