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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : MGT085+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n010.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 : Thu Sep 24 01:25:34 PM UTC 2026

% Result   : Theorem 0.10s 0.39s
% Output   : CNFRefutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   29
% Syntax   : Number of formulae    :  134 (  25 unt;  16 def)
%            Number of atoms       :  322 (  42 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  324 ( 136   ~; 132   |;  34   &)
%                                         (  18 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   21 (  19 usr;  17 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   8 con; 0-0 aty)
%            Number of variables   :   91 (  82   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X] : ~ less(X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [X,Y,Z] :
      ( ( less(Y,Z)
        & less(X,Y) )
     => less(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [X,Y] :
      ( less(Y,X)
      | X = Y
      | less(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [X,Y] :
      ( leq(X,Y)
    <=> ( X = Y
        | less(X,Y) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [X,Y] :
      ( ( leq(Y,X)
        & leq(X,Y) )
     => X = Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [X,Y,Z] :
      ( ( less(Y,Z)
        & leq(X,Y) )
     => less(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ! [X,Y,Z] :
      ( ( leq(Y,Z)
        & leq(X,Y) )
     => leq(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    ! [X,A,B] :
      ( in_lopen(X,A,B)
    <=> ( leq(X,B)
        & less(A,X) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f37,axiom,
    less(v50,v100),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f40,axiom,
    less(v100,v200),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f42,axiom,
    less(v200,v400),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f43,axiom,
    ( v200 != v400
    & v100 != v400
    & v100 != v200
    & v50 != v400
    & v50 != v200
    & v50 != v100
    & v0 != v400
    & v0 != v200
    & v0 != v100
    & v0 != v50 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f44,conjecture,
    ~ ? [X,Y,Z] :
        ( leq(v100,Z)
        & leq(v200,Y)
        & leq(v400,X)
        & ( in_lopen(Z,v0,v50)
          | in_lopen(Y,v0,v100)
          | in_lopen(X,v0,v200) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f45,negated_conjecture,
    ~ ~ ? [X,Y,Z] :
          ( leq(v100,Z)
          & leq(v200,Y)
          & leq(v400,X)
          & ( in_lopen(Z,v0,v50)
            | in_lopen(Y,v0,v100)
            | in_lopen(X,v0,v200) ) ),
    inference(negated_conjecture,[status(cth)],[f44]) ).

fof(f46,plain,
    ! [X0] : ~ less(X0,X0),
    inference(cnf_transformation,[status(thm)],[f1]) ).

fof(f47,plain,
    ! [X,Y,Z] :
      ( less(X,Z)
      | ~ less(Y,Z)
      | ~ less(X,Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f2]) ).

fof(f48,plain,
    ! [X,Z] :
      ( less(X,Z)
      | ! [Y] :
          ( ~ less(Y,Z)
          | ~ less(X,Y) ) ),
    inference(miniscoping,[status(thm)],[f47]) ).

fof(f49,plain,
    ! [X0,X1,X2] :
      ( less(X0,X2)
      | ~ less(X1,X2)
      | ~ less(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f48]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( less(X1,X0)
      | X0 = X1
      | less(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f51,plain,
    ! [X,Y] :
      ( ( ( X != Y
          & ~ less(X,Y) )
        | leq(X,Y) )
      & ( X = Y
        | less(X,Y)
        | ~ leq(X,Y) ) ),
    inference(NNF_transformation,[status(thm)],[f4]) ).

fof(f52,plain,
    ( ! [X,Y] :
        ( ( X != Y
          & ~ less(X,Y) )
        | leq(X,Y) )
    & ! [X,Y] :
        ( X = Y
        | less(X,Y)
        | ~ leq(X,Y) ) ),
    inference(miniscoping,[status(thm)],[f51]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( X0 = X1
      | less(X0,X1)
      | ~ leq(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f52]) ).

fof(f54,plain,
    ! [X0,X1] :
      ( ~ less(X0,X1)
      | leq(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f52]) ).

fof(f56,plain,
    ! [X,Y] :
      ( X = Y
      | ~ leq(Y,X)
      | ~ leq(X,Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f5]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ leq(X1,X0)
      | ~ leq(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f56]) ).

fof(f60,plain,
    ! [X,Y,Z] :
      ( less(X,Z)
      | ~ less(Y,Z)
      | ~ leq(X,Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f7]) ).

fof(f61,plain,
    ! [X,Z] :
      ( less(X,Z)
      | ! [Y] :
          ( ~ less(Y,Z)
          | ~ leq(X,Y) ) ),
    inference(miniscoping,[status(thm)],[f60]) ).

fof(f62,plain,
    ! [X0,X1,X2] :
      ( less(X0,X2)
      | ~ less(X1,X2)
      | ~ leq(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f61]) ).

fof(f66,plain,
    ! [X,Y,Z] :
      ( leq(X,Z)
      | ~ leq(Y,Z)
      | ~ leq(X,Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f9]) ).

fof(f67,plain,
    ! [X,Z] :
      ( leq(X,Z)
      | ! [Y] :
          ( ~ leq(Y,Z)
          | ~ leq(X,Y) ) ),
    inference(miniscoping,[status(thm)],[f66]) ).

fof(f68,plain,
    ! [X0,X1,X2] :
      ( leq(X0,X2)
      | ~ leq(X1,X2)
      | ~ leq(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f67]) ).

fof(f74,plain,
    ! [X,A,B] :
      ( ( ~ leq(X,B)
        | ~ less(A,X)
        | in_lopen(X,A,B) )
      & ( ( leq(X,B)
          & less(A,X) )
        | ~ in_lopen(X,A,B) ) ),
    inference(NNF_transformation,[status(thm)],[f11]) ).

fof(f75,plain,
    ( ! [X,A,B] :
        ( ~ leq(X,B)
        | ~ less(A,X)
        | in_lopen(X,A,B) )
    & ! [X,A,B] :
        ( ( leq(X,B)
          & less(A,X) )
        | ~ in_lopen(X,A,B) ) ),
    inference(miniscoping,[status(thm)],[f74]) ).

fof(f77,plain,
    ! [X0,X1,X2] :
      ( leq(X0,X2)
      | ~ in_lopen(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f75]) ).

fof(f136,plain,
    less(v50,v100),
    inference(cnf_transformation,[status(thm)],[f37]) ).

fof(f139,plain,
    less(v100,v200),
    inference(cnf_transformation,[status(thm)],[f40]) ).

fof(f141,plain,
    less(v200,v400),
    inference(cnf_transformation,[status(thm)],[f42]) ).

fof(f146,plain,
    v50 != v100,
    inference(cnf_transformation,[status(thm)],[f43]) ).

fof(f149,plain,
    v100 != v200,
    inference(cnf_transformation,[status(thm)],[f43]) ).

fof(f152,plain,
    ? [Z] :
      ( leq(v100,Z)
      & ? [Y] :
          ( leq(v200,Y)
          & ? [X] :
              ( leq(v400,X)
              & ( in_lopen(Z,v0,v50)
                | in_lopen(Y,v0,v100)
                | in_lopen(X,v0,v200) ) ) ) ),
    inference(miniscoping,[status(thm)],[f45]) ).

fof(f153,plain,
    ( leq(v100,sK3_skl)
    & leq(v200,sK4_skl)
    & leq(v400,sK5_skl)
    & ( in_lopen(sK3_skl,v0,v50)
      | in_lopen(sK4_skl,v0,v100)
      | in_lopen(sK5_skl,v0,v200) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl,sK5_skl]),skolemize(Z,sK3_skl),skolemize(Y,sK4_skl),skolemize(X,sK5_skl)],[f152]) ).

fof(f154,plain,
    ( in_lopen(sK3_skl,v0,v50)
    | in_lopen(sK4_skl,v0,v100)
    | in_lopen(sK5_skl,v0,v200) ),
    inference(cnf_transformation,[status(thm)],[f153]) ).

fof(f155,plain,
    leq(v400,sK5_skl),
    inference(cnf_transformation,[status(thm)],[f153]) ).

fof(f156,plain,
    leq(v200,sK4_skl),
    inference(cnf_transformation,[status(thm)],[f153]) ).

fof(f157,plain,
    leq(v100,sK3_skl),
    inference(cnf_transformation,[status(thm)],[f153]) ).

fof(f158,definition,
    ( sQ0_spl
  <=> in_lopen(sK5_skl,v0,v200) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f159,plain,
    ( ~ sQ0_spl
    | in_lopen(sK5_skl,v0,v200) ),
    inference(component_clause,[status(thm)],[f158]) ).

fof(f161,definition,
    ( sQ1_spl
  <=> in_lopen(sK4_skl,v0,v100) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f162,plain,
    ( ~ sQ1_spl
    | in_lopen(sK4_skl,v0,v100) ),
    inference(component_clause,[status(thm)],[f161]) ).

fof(f164,definition,
    ( sQ2_spl
  <=> in_lopen(sK3_skl,v0,v50) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f165,plain,
    ( ~ sQ2_spl
    | in_lopen(sK3_skl,v0,v50) ),
    inference(component_clause,[status(thm)],[f164]) ).

fof(f167,plain,
    ( sQ2_spl
    | sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f154,f158,f161,f164]) ).

fof(f176,plain,
    ( sK4_skl = v200
    | ~ leq(sK4_skl,v200) ),
    inference(resolution,[status(thm)],[f57,f156]) ).

fof(f187,definition,
    ( sQ5_spl
  <=> leq(sK4_skl,v200) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f189,plain,
    ( sQ5_spl
    | ~ leq(sK4_skl,v200) ),
    inference(component_clause,[status(thm)],[f187]) ).

fof(f190,definition,
    ( sQ6_spl
  <=> sK4_skl = v200 ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f191,plain,
    ( ~ sQ6_spl
    | sK4_skl = v200 ),
    inference(component_clause,[status(thm)],[f190]) ).

fof(f193,plain,
    ( sQ6_spl
    | ~ sQ5_spl ),
    inference(split_clause,[status(thm)],[f176,f187,f190]) ).

fof(f220,plain,
    ! [X0,X1] :
      ( ~ less(X1,X0)
      | ~ leq(X0,X1) ),
    inference(resolution,[status(thm)],[f62,f46]) ).

fof(f223,plain,
    ! [X0] :
      ( less(X0,v100)
      | ~ less(X0,v50) ),
    inference(resolution,[status(thm)],[f136,f49]) ).

fof(f228,plain,
    ! [X0] :
      ( less(X0,v400)
      | ~ less(X0,v200) ),
    inference(resolution,[status(thm)],[f141,f49]) ).

fof(f240,plain,
    ! [X0] :
      ( sQ5_spl
      | ~ leq(X0,v200)
      | ~ leq(sK4_skl,X0) ),
    inference(resolution,[status(thm)],[f189,f68]) ).

fof(f281,plain,
    ~ less(sK3_skl,v100),
    inference(resolution,[status(thm)],[f220,f157]) ).

fof(f283,plain,
    ~ less(sK5_skl,v400),
    inference(resolution,[status(thm)],[f220,f155]) ).

fof(f285,plain,
    ! [X0,X1] :
      ( ~ less(X1,X0)
      | ~ less(X0,X1) ),
    inference(resolution,[status(thm)],[f220,f54]) ).

fof(f288,plain,
    ( ~ sQ2_spl
    | leq(sK3_skl,v50) ),
    inference(resolution,[status(thm)],[f77,f165]) ).

fof(f291,plain,
    ( ~ sQ2_spl
    | v50 = sK3_skl
    | ~ leq(v50,sK3_skl) ),
    inference(resolution,[status(thm)],[f288,f57]) ).

fof(f292,definition,
    ( sQ12_spl
  <=> leq(v50,sK3_skl) ),
    introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).

fof(f294,plain,
    ( sQ12_spl
    | ~ leq(v50,sK3_skl) ),
    inference(component_clause,[status(thm)],[f292]) ).

fof(f295,definition,
    ( sQ13_spl
  <=> v50 = sK3_skl ),
    introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).

fof(f296,plain,
    ( ~ sQ13_spl
    | v50 = sK3_skl ),
    inference(component_clause,[status(thm)],[f295]) ).

fof(f298,plain,
    ( ~ sQ2_spl
    | sQ13_spl
    | ~ sQ12_spl ),
    inference(split_clause,[status(thm)],[f291,f292,f295,f164]) ).

fof(f301,plain,
    ( ~ sQ13_spl
    | leq(v100,v50) ),
    inference(backward_demodulation,[status(thm)],[f296,f157]) ).

fof(f329,plain,
    ( sQ12_spl
    | ~ less(v50,sK3_skl) ),
    inference(resolution,[status(thm)],[f294,f54]) ).

fof(f332,plain,
    ( sQ12_spl
    | sK3_skl = v50
    | less(sK3_skl,v50) ),
    inference(resolution,[status(thm)],[f329,f50]) ).

fof(f335,definition,
    ( sQ14_spl
  <=> less(sK3_skl,v50) ),
    introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).

fof(f336,plain,
    ( ~ sQ14_spl
    | less(sK3_skl,v50) ),
    inference(component_clause,[status(thm)],[f335]) ).

fof(f338,plain,
    ( sQ12_spl
    | sQ13_spl
    | sQ14_spl ),
    inference(split_clause,[status(thm)],[f332,f335,f295,f292]) ).

fof(f341,plain,
    ( ~ sQ1_spl
    | leq(sK4_skl,v100) ),
    inference(resolution,[status(thm)],[f162,f77]) ).

fof(f344,plain,
    ( ~ sQ1_spl
    | v100 = sK4_skl
    | ~ leq(v100,sK4_skl) ),
    inference(resolution,[status(thm)],[f341,f57]) ).

fof(f345,definition,
    ( sQ15_spl
  <=> leq(v100,sK4_skl) ),
    introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).

fof(f347,plain,
    ( sQ15_spl
    | ~ leq(v100,sK4_skl) ),
    inference(component_clause,[status(thm)],[f345]) ).

fof(f348,definition,
    ( sQ16_spl
  <=> v100 = sK4_skl ),
    introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).

fof(f349,plain,
    ( ~ sQ16_spl
    | v100 = sK4_skl ),
    inference(component_clause,[status(thm)],[f348]) ).

fof(f351,plain,
    ( ~ sQ1_spl
    | sQ16_spl
    | ~ sQ15_spl ),
    inference(split_clause,[status(thm)],[f344,f345,f348,f161]) ).

fof(f354,plain,
    ( ~ sQ16_spl
    | leq(v200,v100) ),
    inference(backward_demodulation,[status(thm)],[f349,f156]) ).

fof(f359,plain,
    ( sQ15_spl
    | ~ sQ6_spl
    | ~ leq(v100,v200) ),
    inference(forward_demodulation,[status(thm)],[f191,f347]) ).

fof(f361,plain,
    ( sQ15_spl
    | ~ sQ6_spl
    | ~ less(v100,v200) ),
    inference(resolution,[status(thm)],[f359,f54]) ).

fof(f362,plain,
    ( sQ15_spl
    | ~ sQ6_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f361,f139]) ).

fof(f363,plain,
    ( sQ15_spl
    | ~ sQ6_spl ),
    inference(contradiction_clause,[status(thm)],[f362]) ).

fof(f375,plain,
    ( ~ sQ0_spl
    | leq(sK5_skl,v200) ),
    inference(resolution,[status(thm)],[f159,f77]) ).

fof(f381,plain,
    ( ~ sQ0_spl
    | ~ less(v200,sK5_skl) ),
    inference(resolution,[status(thm)],[f375,f220]) ).

fof(f386,definition,
    ( sQ18_spl
  <=> v200 = sK5_skl ),
    introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).

fof(f387,plain,
    ( ~ sQ18_spl
    | v200 = sK5_skl ),
    inference(component_clause,[status(thm)],[f386]) ).

fof(f399,plain,
    ( ~ sQ18_spl
    | ~ less(v200,v400) ),
    inference(forward_demodulation,[status(thm)],[f387,f283]) ).

fof(f400,plain,
    ( ~ sQ18_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f399,f141]) ).

fof(f401,plain,
    ~ sQ18_spl,
    inference(contradiction_clause,[status(thm)],[f400]) ).

fof(f415,plain,
    ( ~ sQ0_spl
    | sK5_skl = v200
    | less(sK5_skl,v200) ),
    inference(resolution,[status(thm)],[f381,f50]) ).

fof(f418,definition,
    ( sQ20_spl
  <=> less(sK5_skl,v200) ),
    introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).

fof(f419,plain,
    ( ~ sQ20_spl
    | less(sK5_skl,v200) ),
    inference(component_clause,[status(thm)],[f418]) ).

fof(f421,plain,
    ( ~ sQ0_spl
    | sQ18_spl
    | sQ20_spl ),
    inference(split_clause,[status(thm)],[f415,f418,f386,f158]) ).

fof(f557,plain,
    ~ less(v200,v100),
    inference(resolution,[status(thm)],[f285,f139]) ).

fof(f560,plain,
    ~ less(v100,v50),
    inference(resolution,[status(thm)],[f285,f136]) ).

fof(f613,plain,
    ( v200 = v100
    | ~ leq(v200,v100) ),
    inference(resolution,[status(thm)],[f557,f53]) ).

fof(f617,definition,
    ( sQ33_spl
  <=> v100 = v200 ),
    introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).

fof(f618,plain,
    ( ~ sQ33_spl
    | v100 = v200 ),
    inference(component_clause,[status(thm)],[f617]) ).

fof(f621,definition,
    ( sQ34_spl
  <=> leq(v200,v100) ),
    introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).

fof(f623,plain,
    ( sQ34_spl
    | ~ leq(v200,v100) ),
    inference(component_clause,[status(thm)],[f621]) ).

fof(f624,plain,
    ( sQ33_spl
    | ~ sQ34_spl ),
    inference(split_clause,[status(thm)],[f613,f621,f617]) ).

fof(f625,plain,
    ( ~ sQ33_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f618,f149]) ).

fof(f626,plain,
    ~ sQ33_spl,
    inference(contradiction_clause,[status(thm)],[f625]) ).

fof(f667,plain,
    ( v100 = v50
    | ~ leq(v100,v50) ),
    inference(resolution,[status(thm)],[f560,f53]) ).

fof(f671,definition,
    ( sQ42_spl
  <=> v50 = v100 ),
    introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).

fof(f672,plain,
    ( ~ sQ42_spl
    | v50 = v100 ),
    inference(component_clause,[status(thm)],[f671]) ).

fof(f675,definition,
    ( sQ43_spl
  <=> leq(v100,v50) ),
    introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).

fof(f677,plain,
    ( sQ43_spl
    | ~ leq(v100,v50) ),
    inference(component_clause,[status(thm)],[f675]) ).

fof(f678,plain,
    ( sQ42_spl
    | ~ sQ43_spl ),
    inference(split_clause,[status(thm)],[f667,f675,f671]) ).

fof(f679,plain,
    ( ~ sQ42_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f672,f146]) ).

fof(f680,plain,
    ~ sQ42_spl,
    inference(contradiction_clause,[status(thm)],[f679]) ).

fof(f1087,plain,
    ( ~ sQ1_spl
    | sQ5_spl
    | ~ leq(v100,v200) ),
    inference(resolution,[status(thm)],[f240,f341]) ).

fof(f1116,plain,
    ( ~ sQ1_spl
    | sQ5_spl
    | ~ less(v100,v200) ),
    inference(resolution,[status(thm)],[f1087,f54]) ).

fof(f1117,plain,
    ( ~ sQ1_spl
    | sQ5_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1116,f139]) ).

fof(f1118,plain,
    ( ~ sQ1_spl
    | sQ5_spl ),
    inference(contradiction_clause,[status(thm)],[f1117]) ).

fof(f1119,plain,
    ( ~ sQ16_spl
    | sQ34_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f354,f623]) ).

fof(f1120,plain,
    ( ~ sQ16_spl
    | sQ34_spl ),
    inference(contradiction_clause,[status(thm)],[f1119]) ).

fof(f1262,plain,
    ~ less(sK3_skl,v50),
    inference(resolution,[status(thm)],[f223,f281]) ).

fof(f1266,plain,
    ( ~ sQ14_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1262,f336]) ).

fof(f1267,plain,
    ~ sQ14_spl,
    inference(contradiction_clause,[status(thm)],[f1266]) ).

fof(f1268,plain,
    ( ~ sQ13_spl
    | sQ43_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f301,f677]) ).

fof(f1269,plain,
    ( ~ sQ13_spl
    | sQ43_spl ),
    inference(contradiction_clause,[status(thm)],[f1268]) ).

fof(f1467,plain,
    ~ less(sK5_skl,v200),
    inference(resolution,[status(thm)],[f228,f283]) ).

fof(f1471,plain,
    ( ~ sQ20_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1467,f419]) ).

fof(f1472,plain,
    ~ sQ20_spl,
    inference(contradiction_clause,[status(thm)],[f1471]) ).

fof(f1473,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f167,f193,f298,f338,f351,f363,f401,f421,f624,f626,f678,f680,f1118,f1120,f1267,f1269,f1472]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT085+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36  % Computer : n010.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Mon Sep 21 01:25:25 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.37  % Drodi V4.1.1
% 0.10/0.39  % Refutation found
% 0.10/0.39  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.39  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.42  % Elapsed time: 0.055186 seconds
% 0.10/0.42  % CPU time: 0.205104 seconds
% 0.10/0.42  % Total memory used: 31.004 MB
% 0.10/0.42  % Net memory used: 30.785 MB
%------------------------------------------------------------------------------