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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : GEO053-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n016.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 12:23:55 PM UTC 2026

% Result   : Unsatisfiable 73.64s 9.76s
% Output   : CNFRefutation 73.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   25
% Syntax   : Number of formulae    :  112 (  32 unt;  13 def)
%            Number of atoms       :  254 (  32 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  262 ( 120   ~; 129   |;   0   &)
%                                         (  13 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   17 (  15 usr;  14 prp; 0-4 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-5 aty)
%            Number of variables   :  172 ( 172   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X,Y] : equidistant(X,Y,Y,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [X,Y,Z,V,V2,W] :
      ( equidistant(Z,V,V2,W)
      | ~ equidistant(X,Y,V2,W)
      | ~ equidistant(X,Y,Z,V) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [X,Y,Z] :
      ( X = Y
      | ~ equidistant(X,Y,Z,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [X,Y,W,V] : between(X,Y,extension(X,Y,W,V)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [Y,X,W,V] : equidistant(Y,extension(X,Y,W,V),W,V),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [X,Y,X1,Y1,Z,Z1,V,V1] :
      ( equidistant(Z,V,Z1,V1)
      | X = Y
      | ~ between(X1,Y1,Z1)
      | ~ between(X,Y,Z)
      | ~ equidistant(Y,V,Y1,V1)
      | ~ equidistant(X,V,X1,V1)
      | ~ equidistant(Y,Z,Y1,Z1)
      | ~ equidistant(X,Y,X1,Y1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [X,Y] :
      ( X = Y
      | ~ between(X,Y,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [U,V,W,Y,X] :
      ( between(V,inner_pasch(U,V,W,X,Y),Y)
      | ~ between(Y,X,W)
      | ~ between(U,V,W) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ! [U,V,W,Y,X] :
      ( between(X,inner_pasch(U,V,W,X,Y),U)
      | ~ between(Y,X,W)
      | ~ between(U,V,W) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f19,hypothesis,
    between(u,v,w),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f20,hypothesis,
    equidistant(u,v,u,w),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f21,negated_conjecture,
    v != w,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f22,plain,
    ! [X0,X1] : equidistant(X0,X1,X1,X0),
    inference(cnf_transformation,[status(thm)],[f1]) ).

fof(f23,plain,
    ! [Z,V,V2,W] :
      ( equidistant(Z,V,V2,W)
      | ! [X,Y] :
          ( ~ equidistant(X,Y,V2,W)
          | ~ equidistant(X,Y,Z,V) ) ),
    inference(miniscoping,[status(thm)],[f2]) ).

fof(f24,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( equidistant(X2,X3,X4,X5)
      | ~ equidistant(X0,X1,X4,X5)
      | ~ equidistant(X0,X1,X2,X3) ),
    inference(cnf_transformation,[status(thm)],[f23]) ).

fof(f25,plain,
    ! [X,Y] :
      ( X = Y
      | ! [Z] : ~ equidistant(X,Y,Z,Z) ),
    inference(miniscoping,[status(thm)],[f3]) ).

fof(f26,plain,
    ! [X0,X1,X2] :
      ( X0 = X1
      | ~ equidistant(X0,X1,X2,X2) ),
    inference(cnf_transformation,[status(thm)],[f25]) ).

fof(f27,plain,
    ! [X0,X1,X2,X3] : between(X0,X1,extension(X0,X1,X2,X3)),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f28,plain,
    ! [X0,X1,X2,X3] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f29,plain,
    ! [Z,Z1,V,V1] :
      ( equidistant(Z,V,Z1,V1)
      | ! [X,Y] :
          ( X = Y
          | ! [X1,Y1] :
              ( ~ between(X1,Y1,Z1)
              | ~ between(X,Y,Z)
              | ~ equidistant(Y,V,Y1,V1)
              | ~ equidistant(X,V,X1,V1)
              | ~ equidistant(Y,Z,Y1,Z1)
              | ~ equidistant(X,Y,X1,Y1) ) ) ),
    inference(miniscoping,[status(thm)],[f6]) ).

fof(f30,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( equidistant(X4,X6,X5,X7)
      | X0 = X1
      | ~ between(X2,X3,X5)
      | ~ between(X0,X1,X4)
      | ~ equidistant(X1,X6,X3,X7)
      | ~ equidistant(X0,X6,X2,X7)
      | ~ equidistant(X1,X4,X3,X5)
      | ~ equidistant(X0,X1,X2,X3) ),
    inference(cnf_transformation,[status(thm)],[f29]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ between(X0,X1,X0) ),
    inference(cnf_transformation,[status(thm)],[f7]) ).

fof(f32,plain,
    ! [X0,X1,X2,X3,X4] :
      ( between(X1,inner_pasch(X0,X1,X2,X4,X3),X3)
      | ~ between(X3,X4,X2)
      | ~ between(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f33,plain,
    ! [X0,X1,X2,X3,X4] :
      ( between(X4,inner_pasch(X0,X1,X2,X4,X3),X0)
      | ~ between(X3,X4,X2)
      | ~ between(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f9]) ).

fof(f44,plain,
    between(u,v,w),
    inference(cnf_transformation,[status(thm)],[f19]) ).

fof(f45,plain,
    equidistant(u,v,u,w),
    inference(cnf_transformation,[status(thm)],[f20]) ).

fof(f46,plain,
    v != w,
    inference(cnf_transformation,[status(thm)],[f21]) ).

fof(f49,plain,
    ! [X0,X1,X2] : X0 = extension(X1,X0,X2,X2),
    inference(resolution,[status(thm)],[f28,f26]) ).

fof(f50,plain,
    ! [X0,X1] : equidistant(X0,X0,X1,X1),
    inference(paramodulation,[status(thm)],[f49,f28]) ).

fof(f51,plain,
    ! [X0,X1] : between(X0,X1,X1),
    inference(paramodulation,[status(thm)],[f49,f27]) ).

fof(f52,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( X4 = X6
      | X0 = X1
      | ~ between(X2,X3,X5)
      | ~ between(X0,X1,X4)
      | ~ equidistant(X1,X6,X3,X5)
      | ~ equidistant(X0,X6,X2,X5)
      | ~ equidistant(X1,X4,X3,X5)
      | ~ equidistant(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[f30,f26]) ).

fof(f53,plain,
    ! [X0,X1,X2,X3] :
      ( X1 = inner_pasch(X0,X1,X2,X3,X1)
      | ~ between(X1,X3,X2)
      | ~ between(X0,X1,X2) ),
    inference(resolution,[status(thm)],[f32,f31]) ).

fof(f76,definition,
    ( sQ0_spl
  <=> between(u,v,w) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f78,plain,
    ( sQ0_spl
    | ~ between(u,v,w) ),
    inference(component_clause,[status(thm)],[f76]) ).

fof(f79,definition,
    ( sQ1_spl
  <=> between(v,w,w) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f81,plain,
    ( sQ1_spl
    | ~ between(v,w,w) ),
    inference(component_clause,[status(thm)],[f79]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( between(v,inner_pasch(X0,X1,w,v,u),X0)
      | ~ between(X0,X1,w) ),
    inference(resolution,[status(thm)],[f33,f44]) ).

fof(f99,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( between(X3,inner_pasch(X0,X1,extension(X2,X3,X4,X5),X3,X2),X0)
      | ~ between(X0,X1,extension(X2,X3,X4,X5)) ),
    inference(resolution,[status(thm)],[f33,f27]) ).

fof(f100,plain,
    ! [X0,X1,X2,X3] :
      ( between(X2,inner_pasch(X0,X1,X2,X2,X3),X0)
      | ~ between(X0,X1,X2) ),
    inference(resolution,[status(thm)],[f33,f51]) ).

fof(f122,definition,
    ( sQ4_spl
  <=> v = w ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f123,plain,
    ( ~ sQ4_spl
    | v = w ),
    inference(component_clause,[status(thm)],[f122]) ).

fof(f131,plain,
    ( ~ sQ4_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f123,f46]) ).

fof(f132,plain,
    ~ sQ4_spl,
    inference(contradiction_clause,[status(thm)],[f131]) ).

fof(f138,plain,
    ! [X0] : between(v,inner_pasch(X0,w,w,v,u),X0),
    inference(resolution,[status(thm)],[f97,f51]) ).

fof(f143,plain,
    v = inner_pasch(v,w,w,v,u),
    inference(resolution,[status(thm)],[f138,f31]) ).

fof(f145,plain,
    ( between(w,v,u)
    | ~ between(u,v,w)
    | ~ between(v,w,w) ),
    inference(paramodulation,[status(thm)],[f143,f32]) ).

fof(f146,definition,
    ( sQ6_spl
  <=> between(w,v,u) ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f147,plain,
    ( ~ sQ6_spl
    | between(w,v,u) ),
    inference(component_clause,[status(thm)],[f146]) ).

fof(f149,plain,
    ( sQ6_spl
    | ~ sQ0_spl
    | ~ sQ1_spl ),
    inference(split_clause,[status(thm)],[f145,f79,f76,f146]) ).

fof(f150,plain,
    ( sQ0_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f78,f44]) ).

fof(f151,plain,
    sQ0_spl,
    inference(contradiction_clause,[status(thm)],[f150]) ).

fof(f152,plain,
    ( sQ1_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f81,f51]) ).

fof(f153,plain,
    sQ1_spl,
    inference(contradiction_clause,[status(thm)],[f152]) ).

fof(f157,plain,
    ! [X0,X1] :
      ( ~ sQ6_spl
      | between(v,inner_pasch(X0,X1,u,v,w),X0)
      | ~ between(X0,X1,u) ),
    inference(resolution,[status(thm)],[f147,f33]) ).

fof(f159,plain,
    ! [X0] :
      ( ~ sQ6_spl
      | w = inner_pasch(X0,w,u,v,w)
      | ~ between(X0,w,u) ),
    inference(resolution,[status(thm)],[f147,f53]) ).

fof(f214,plain,
    ! [X0,X1,X2] : between(X0,inner_pasch(X1,X0,X0,X0,X2),X1),
    inference(resolution,[status(thm)],[f100,f51]) ).

fof(f615,plain,
    ! [X0,X1,X2] :
      ( X2 = v
      | u = X0
      | ~ between(u,X1,w)
      | ~ between(u,X0,X2)
      | ~ equidistant(X0,v,X1,w)
      | ~ equidistant(X0,X2,X1,w)
      | ~ equidistant(u,X0,u,X1) ),
    inference(resolution,[status(thm)],[f52,f45]) ).

fof(f882,plain,
    ! [X0] :
      ( X0 = v
      | u = w
      | ~ between(u,v,w)
      | ~ between(u,w,X0)
      | ~ equidistant(w,X0,v,w)
      | ~ equidistant(u,w,u,v) ),
    inference(resolution,[status(thm)],[f615,f22]) ).

fof(f884,definition,
    ( sQ35_spl
  <=> equidistant(u,v,u,w) ),
    introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).

fof(f886,plain,
    ( sQ35_spl
    | ~ equidistant(u,v,u,w) ),
    inference(component_clause,[status(thm)],[f884]) ).

fof(f897,definition,
    ( sQ39_spl
  <=> equidistant(u,w,u,v) ),
    introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).

fof(f899,plain,
    ( sQ39_spl
    | ~ equidistant(u,w,u,v) ),
    inference(component_clause,[status(thm)],[f897]) ).

fof(f900,definition,
    ! [X0] :
      ( sQ40_spl
    <=> ( X0 = v
        | ~ between(u,w,X0)
        | ~ equidistant(w,X0,v,w) ) ),
    introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).

fof(f901,plain,
    ! [X0] :
      ( ~ sQ40_spl
      | X0 = v
      | ~ between(u,w,X0)
      | ~ equidistant(w,X0,v,w) ),
    inference(component_clause,[status(thm)],[f900]) ).

fof(f903,definition,
    ( sQ41_spl
  <=> u = w ),
    introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).

fof(f904,plain,
    ( ~ sQ41_spl
    | u = w ),
    inference(component_clause,[status(thm)],[f903]) ).

fof(f906,plain,
    ( sQ41_spl
    | ~ sQ0_spl
    | sQ40_spl
    | ~ sQ39_spl ),
    inference(split_clause,[status(thm)],[f882,f897,f900,f76,f903]) ).

fof(f951,plain,
    ( ~ sQ6_spl
    | ~ sQ41_spl
    | between(w,v,w) ),
    inference(backward_demodulation,[status(thm)],[f904,f147]) ).

fof(f1056,plain,
    ! [X0,X1] :
      ( sQ39_spl
      | ~ equidistant(X0,X1,u,v)
      | ~ equidistant(X0,X1,u,w) ),
    inference(resolution,[status(thm)],[f899,f24]) ).

fof(f1101,plain,
    ! [X0,X1,X2,X3,X4] : between(X0,inner_pasch(X1,extension(X2,X0,X3,X4),extension(X2,X0,X3,X4),X0,X2),X1),
    inference(resolution,[status(thm)],[f99,f51]) ).

fof(f1196,plain,
    ( sQ39_spl
    | ~ equidistant(v,u,u,w) ),
    inference(resolution,[status(thm)],[f1056,f22]) ).

fof(f1198,plain,
    ! [X0,X1] :
      ( sQ39_spl
      | ~ equidistant(X0,X1,u,w)
      | ~ equidistant(X0,X1,v,u) ),
    inference(resolution,[status(thm)],[f1196,f24]) ).

fof(f1251,plain,
    ( sQ39_spl
    | ~ equidistant(u,v,u,w) ),
    inference(resolution,[status(thm)],[f1198,f22]) ).

fof(f1252,plain,
    ( sQ39_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1251,f45]) ).

fof(f1253,plain,
    sQ39_spl,
    inference(contradiction_clause,[status(thm)],[f1252]) ).

fof(f1506,plain,
    ! [X0] :
      ( ~ sQ40_spl
      | extension(X0,w,v,w) = v
      | ~ between(u,w,extension(X0,w,v,w)) ),
    inference(resolution,[status(thm)],[f901,f28]) ).

fof(f1805,plain,
    ! [X0,X1,X2,X3] : X0 = inner_pasch(X0,extension(X1,X0,X2,X3),extension(X1,X0,X2,X3),X0,X1),
    inference(resolution,[status(thm)],[f1101,f31]) ).

fof(f1818,plain,
    ! [X0,X1,X2,X3] :
      ( between(extension(X1,X0,X2,X3),X0,X1)
      | ~ between(X1,X0,extension(X1,X0,X2,X3))
      | ~ between(X0,extension(X1,X0,X2,X3),extension(X1,X0,X2,X3)) ),
    inference(paramodulation,[status(thm)],[f1805,f32]) ).

fof(f1820,plain,
    ! [X0,X1,X2,X3] :
      ( between(extension(X1,X0,X2,X3),X0,X1)
      | ~ between(X0,extension(X1,X0,X2,X3),extension(X1,X0,X2,X3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1818,f27]) ).

fof(f2164,definition,
    ! [X0] :
      ( sQ54_spl
    <=> ~ between(v,inner_pasch(w,v,v,v,X0),w) ),
    introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).

fof(f2165,plain,
    ! [X0] :
      ( ~ sQ54_spl
      | ~ between(v,inner_pasch(w,v,v,v,X0),w) ),
    inference(component_clause,[status(thm)],[f2164]) ).

fof(f2168,plain,
    ( ~ sQ54_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2165,f214]) ).

fof(f2169,plain,
    ~ sQ54_spl,
    inference(contradiction_clause,[status(thm)],[f2168]) ).

fof(f2820,definition,
    ( sQ64_spl
  <=> equidistant(w,w,v,v) ),
    introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).

fof(f2822,plain,
    ( sQ64_spl
    | ~ equidistant(w,w,v,v) ),
    inference(component_clause,[status(thm)],[f2820]) ).

fof(f2831,definition,
    ( sQ67_spl
  <=> equidistant(v,v,w,w) ),
    introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).

fof(f2833,plain,
    ( sQ67_spl
    | ~ equidistant(v,v,w,w) ),
    inference(component_clause,[status(thm)],[f2831]) ).

fof(f2866,plain,
    ( sQ35_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f886,f45]) ).

fof(f2867,plain,
    sQ35_spl,
    inference(contradiction_clause,[status(thm)],[f2866]) ).

fof(f3063,plain,
    ( ~ sQ6_spl
    | ~ sQ41_spl
    | w = v ),
    inference(resolution,[status(thm)],[f951,f31]) ).

fof(f3065,plain,
    ( ~ sQ6_spl
    | ~ sQ41_spl
    | sQ4_spl ),
    inference(split_clause,[status(thm)],[f3063,f122,f903,f146]) ).

fof(f3188,plain,
    ( sQ64_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2822,f50]) ).

fof(f3189,plain,
    sQ64_spl,
    inference(contradiction_clause,[status(thm)],[f3188]) ).

fof(f4591,plain,
    ( sQ67_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f2833,f50]) ).

fof(f4592,plain,
    sQ67_spl,
    inference(contradiction_clause,[status(thm)],[f4591]) ).

fof(f6274,definition,
    ( sQ154_spl
  <=> between(v,inner_pasch(u,w,w,v,u),u) ),
    introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).

fof(f6276,plain,
    ( sQ154_spl
    | ~ between(v,inner_pasch(u,w,w,v,u),u) ),
    inference(component_clause,[status(thm)],[f6274]) ).

fof(f6282,plain,
    ( sQ154_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f6276,f138]) ).

fof(f6283,plain,
    sQ154_spl,
    inference(contradiction_clause,[status(thm)],[f6282]) ).

fof(f8467,definition,
    ( sQ170_spl
  <=> between(v,inner_pasch(w,w,w,v,u),w) ),
    introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).

fof(f8469,plain,
    ( sQ170_spl
    | ~ between(v,inner_pasch(w,w,w,v,u),w) ),
    inference(component_clause,[status(thm)],[f8467]) ).

fof(f8480,plain,
    ( sQ170_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f8469,f138]) ).

fof(f8481,plain,
    sQ170_spl,
    inference(contradiction_clause,[status(thm)],[f8480]) ).

fof(f12321,plain,
    ! [X0,X1,X2,X3] : between(extension(X0,X1,X2,X3),X1,X0),
    inference(forward_subsumption_resolution,[status(thm)],[f1820,f51]) ).

fof(f12323,plain,
    ! [X0,X1] :
      ( ~ sQ6_spl
      | w = inner_pasch(extension(u,w,X0,X1),w,u,v,w) ),
    inference(resolution,[status(thm)],[f12321,f159]) ).

fof(f12785,plain,
    ! [X0,X1] :
      ( ~ sQ6_spl
      | between(v,w,extension(u,w,X0,X1))
      | ~ between(extension(u,w,X0,X1),w,u) ),
    inference(paramodulation,[status(thm)],[f12323,f157]) ).

fof(f12787,plain,
    ! [X0,X1] :
      ( ~ sQ6_spl
      | between(v,w,extension(u,w,X0,X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f12785,f12321]) ).

fof(f16779,plain,
    ( ~ sQ40_spl
    | extension(u,w,v,w) = v ),
    inference(resolution,[status(thm)],[f1506,f27]) ).

fof(f16786,plain,
    ( ~ sQ40_spl
    | ~ sQ6_spl
    | between(v,w,v) ),
    inference(paramodulation,[status(thm)],[f16779,f12787]) ).

fof(f17025,plain,
    ( ~ sQ40_spl
    | ~ sQ6_spl
    | v = w ),
    inference(resolution,[status(thm)],[f16786,f31]) ).

fof(f17028,plain,
    ( ~ sQ40_spl
    | ~ sQ6_spl
    | sQ4_spl ),
    inference(split_clause,[status(thm)],[f17025,f122,f146,f900]) ).

fof(f17029,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f132,f149,f151,f153,f906,f1253,f2169,f2867,f3065,f3189,f4592,f6283,f8481,f17028]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO053-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.38  % Computer : n016.cluster.edu
% 0.10/0.38  % Model    : x86_64 x86_64
% 0.10/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38  % Memory   : 8046.5625MB
% 0.10/0.38  % OS       : Linux 6.8.0-71-generic
% 0.10/0.38  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Sun Sep 20 08:51:52 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.40  % Drodi V4.1.1
% 73.64/9.76  % Refutation found
% 73.64/9.76  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 73.64/9.76  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 19.15/9.80  % Elapsed time: 9.402627 seconds
% 19.15/9.80  % CPU time: 74.282852 seconds
% 19.15/9.80  % Total memory used: 306.105 MB
% 19.15/9.80  % Net memory used: 266.130 MB
%------------------------------------------------------------------------------