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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : RNG065+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n005.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 02:04:50 PM UTC 2026

% Result   : Theorem 4.76s 1.08s
% Output   : CNFRefutation 4.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   25
% Syntax   : Number of formulae    :   88 (  17 unt;  13 def)
%            Number of atoms       :  254 (   4 equ)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :  307 ( 141   ~; 133   |;  13   &)
%                                         (  13 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   17 (  15 usr;  14 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;  10 con; 0-2 aty)
%            Number of variables   :   55 (  55   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f10,axiom,
    ! [W0,W1] :
      ( ( aScalar0(W1)
        & aScalar0(W0) )
     => aScalar0(sdtpldt0(W0,W1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    ! [W0,W1] :
      ( ( aScalar0(W1)
        & aScalar0(W0) )
     => aScalar0(sdtasdt0(W0,W1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f20,axiom,
    ! [W0] :
      ( aScalar0(W0)
     => sdtlseqdt0(W0,W0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f22,axiom,
    ! [W0,W1,W2] :
      ( ( aScalar0(W2)
        & aScalar0(W1)
        & aScalar0(W0) )
     => ( ( sdtlseqdt0(W1,W2)
          & sdtlseqdt0(W0,W1) )
       => sdtlseqdt0(W0,W2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f23,axiom,
    ! [W0,W1,W2,W3] :
      ( ( aScalar0(W3)
        & aScalar0(W2)
        & aScalar0(W1)
        & aScalar0(W0) )
     => ( ( sdtlseqdt0(W2,W3)
          & sdtlseqdt0(W0,W1) )
       => sdtlseqdt0(sdtpldt0(W0,W2),sdtpldt0(W1,W3)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f52,hypothesis,
    ( xR = sdtasdt0(xC,xG)
    & aScalar0(xR) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f53,hypothesis,
    ( xP = sdtasdt0(xE,xH)
    & aScalar0(xP) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f54,hypothesis,
    ( xS = sdtasdt0(xF,xD)
    & aScalar0(xS) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f55,hypothesis,
    ( xN = sdtasdt0(xR,xS)
    & aScalar0(xN) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f57,hypothesis,
    sdtlseqdt0(sdtasdt0(xP,xP),xN),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f64,hypothesis,
    sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f65,conjecture,
    sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f66,negated_conjecture,
    ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
    inference(negated_conjecture,[status(cth)],[f65]) ).

fof(f88,plain,
    ! [W0,W1] :
      ( aScalar0(sdtpldt0(W0,W1))
      | ~ aScalar0(W1)
      | ~ aScalar0(W0) ),
    inference(pre_NNF_transformation,[status(thm)],[f10]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( aScalar0(sdtpldt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[status(thm)],[f88]) ).

fof(f90,plain,
    ! [W0,W1] :
      ( aScalar0(sdtasdt0(W0,W1))
      | ~ aScalar0(W1)
      | ~ aScalar0(W0) ),
    inference(pre_NNF_transformation,[status(thm)],[f11]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( aScalar0(sdtasdt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[status(thm)],[f90]) ).

fof(f120,plain,
    ! [W0] :
      ( sdtlseqdt0(W0,W0)
      | ~ aScalar0(W0) ),
    inference(pre_NNF_transformation,[status(thm)],[f20]) ).

fof(f121,plain,
    ! [X0] :
      ( sdtlseqdt0(X0,X0)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[status(thm)],[f120]) ).

fof(f124,plain,
    ! [W0,W1,W2] :
      ( sdtlseqdt0(W0,W2)
      | ~ sdtlseqdt0(W1,W2)
      | ~ sdtlseqdt0(W0,W1)
      | ~ aScalar0(W2)
      | ~ aScalar0(W1)
      | ~ aScalar0(W0) ),
    inference(pre_NNF_transformation,[status(thm)],[f22]) ).

fof(f125,plain,
    ! [X0,X1,X2] :
      ( sdtlseqdt0(X0,X2)
      | ~ sdtlseqdt0(X1,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[status(thm)],[f124]) ).

fof(f126,plain,
    ! [W0,W1,W2,W3] :
      ( sdtlseqdt0(sdtpldt0(W0,W2),sdtpldt0(W1,W3))
      | ~ sdtlseqdt0(W2,W3)
      | ~ sdtlseqdt0(W0,W1)
      | ~ aScalar0(W3)
      | ~ aScalar0(W2)
      | ~ aScalar0(W1)
      | ~ aScalar0(W0) ),
    inference(pre_NNF_transformation,[status(thm)],[f23]) ).

fof(f127,plain,
    ! [X0,X1,X2,X3] :
      ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
      | ~ sdtlseqdt0(X2,X3)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aScalar0(X3)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[status(thm)],[f126]) ).

fof(f191,plain,
    aScalar0(xR),
    inference(cnf_transformation,[status(thm)],[f52]) ).

fof(f193,plain,
    aScalar0(xP),
    inference(cnf_transformation,[status(thm)],[f53]) ).

fof(f195,plain,
    aScalar0(xS),
    inference(cnf_transformation,[status(thm)],[f54]) ).

fof(f197,plain,
    aScalar0(xN),
    inference(cnf_transformation,[status(thm)],[f55]) ).

fof(f200,plain,
    sdtlseqdt0(sdtasdt0(xP,xP),xN),
    inference(cnf_transformation,[status(thm)],[f57]) ).

fof(f209,plain,
    sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
    inference(cnf_transformation,[status(thm)],[f64]) ).

fof(f210,plain,
    ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
    inference(cnf_transformation,[status(thm)],[f66]) ).

fof(f249,definition,
    ( sQ4_spl
  <=> aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f251,plain,
    ( sQ4_spl
    | ~ aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))) ),
    inference(component_clause,[status(thm)],[f249]) ).

fof(f252,definition,
    ( sQ5_spl
  <=> aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f254,plain,
    ( sQ5_spl
    | ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
    inference(component_clause,[status(thm)],[f252]) ).

fof(f265,definition,
    ( sQ8_spl
  <=> aScalar0(sdtasdt0(xS,xS)) ),
    introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).

fof(f267,plain,
    ( sQ8_spl
    | ~ aScalar0(sdtasdt0(xS,xS)) ),
    inference(component_clause,[status(thm)],[f265]) ).

fof(f270,definition,
    ( sQ9_spl
  <=> aScalar0(sdtasdt0(xP,xP)) ),
    introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).

fof(f272,plain,
    ( sQ9_spl
    | ~ aScalar0(sdtasdt0(xP,xP)) ),
    inference(component_clause,[status(thm)],[f270]) ).

fof(f273,definition,
    ( sQ10_spl
  <=> aScalar0(sdtasdt0(xR,xR)) ),
    introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).

fof(f275,plain,
    ( sQ10_spl
    | ~ aScalar0(sdtasdt0(xR,xR)) ),
    inference(component_clause,[status(thm)],[f273]) ).

fof(f293,plain,
    ( sQ10_spl
    | ~ aScalar0(xR)
    | ~ aScalar0(xR) ),
    inference(resolution,[status(thm)],[f275,f91]) ).

fof(f294,definition,
    ( sQ15_spl
  <=> aScalar0(xR) ),
    introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).

fof(f296,plain,
    ( sQ15_spl
    | ~ aScalar0(xR) ),
    inference(component_clause,[status(thm)],[f294]) ).

fof(f297,plain,
    ( sQ10_spl
    | ~ sQ15_spl ),
    inference(split_clause,[status(thm)],[f293,f294,f273]) ).

fof(f298,plain,
    ( sQ15_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f296,f191]) ).

fof(f299,plain,
    sQ15_spl,
    inference(contradiction_clause,[status(thm)],[f298]) ).

fof(f300,plain,
    ( sQ9_spl
    | ~ aScalar0(xP)
    | ~ aScalar0(xP) ),
    inference(resolution,[status(thm)],[f272,f91]) ).

fof(f301,definition,
    ( sQ16_spl
  <=> aScalar0(xP) ),
    introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).

fof(f303,plain,
    ( sQ16_spl
    | ~ aScalar0(xP) ),
    inference(component_clause,[status(thm)],[f301]) ).

fof(f304,plain,
    ( sQ9_spl
    | ~ sQ16_spl ),
    inference(split_clause,[status(thm)],[f300,f301,f270]) ).

fof(f305,plain,
    ( sQ16_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f303,f193]) ).

fof(f306,plain,
    sQ16_spl,
    inference(contradiction_clause,[status(thm)],[f305]) ).

fof(f307,plain,
    ( sQ8_spl
    | ~ aScalar0(xS)
    | ~ aScalar0(xS) ),
    inference(resolution,[status(thm)],[f267,f91]) ).

fof(f308,definition,
    ( sQ17_spl
  <=> aScalar0(xS) ),
    introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).

fof(f310,plain,
    ( sQ17_spl
    | ~ aScalar0(xS) ),
    inference(component_clause,[status(thm)],[f308]) ).

fof(f311,plain,
    ( sQ8_spl
    | ~ sQ17_spl ),
    inference(split_clause,[status(thm)],[f307,f308,f265]) ).

fof(f312,plain,
    ( sQ17_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f310,f195]) ).

fof(f313,plain,
    sQ17_spl,
    inference(contradiction_clause,[status(thm)],[f312]) ).

fof(f317,plain,
    ! [X0] :
      ( ~ sdtlseqdt0(X0,sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
      | ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),X0)
      | ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
      | ~ aScalar0(X0)
      | ~ aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))) ),
    inference(resolution,[status(thm)],[f125,f210]) ).

fof(f322,definition,
    ! [X0] :
      ( sQ19_spl
    <=> ( ~ sdtlseqdt0(X0,sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
        | ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),X0)
        | ~ aScalar0(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).

fof(f323,plain,
    ! [X0] :
      ( ~ sQ19_spl
      | ~ sdtlseqdt0(X0,sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
      | ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),X0)
      | ~ aScalar0(X0) ),
    inference(component_clause,[status(thm)],[f322]) ).

fof(f325,plain,
    ( ~ sQ5_spl
    | sQ19_spl
    | ~ sQ4_spl ),
    inference(split_clause,[status(thm)],[f317,f249,f322,f252]) ).

fof(f326,plain,
    ( sQ5_spl
    | ~ aScalar0(sdtasdt0(xS,xS))
    | ~ aScalar0(sdtasdt0(xR,xR)) ),
    inference(resolution,[status(thm)],[f254,f89]) ).

fof(f327,plain,
    ( sQ5_spl
    | ~ sQ8_spl
    | ~ sQ10_spl ),
    inference(split_clause,[status(thm)],[f326,f273,f265,f252]) ).

fof(f328,plain,
    ( sQ4_spl
    | ~ aScalar0(sdtasdt0(xP,xP))
    | ~ aScalar0(sdtasdt0(xP,xP)) ),
    inference(resolution,[status(thm)],[f251,f89]) ).

fof(f329,plain,
    ( sQ4_spl
    | ~ sQ9_spl ),
    inference(split_clause,[status(thm)],[f328,f270,f249]) ).

fof(f331,plain,
    ! [X0,X1] :
      ( ~ sQ19_spl
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),X1)
      | ~ aScalar0(X0)
      | ~ aScalar0(X1)
      | ~ aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
      | ~ sdtlseqdt0(X0,sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
      | ~ aScalar0(X0) ),
    inference(resolution,[status(thm)],[f323,f125]) ).

fof(f342,definition,
    ! [X0,X1] :
      ( sQ21_spl
    <=> ( ~ sdtlseqdt0(X1,X0)
        | ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),X1)
        | ~ aScalar0(X0)
        | ~ aScalar0(X1)
        | ~ sdtlseqdt0(X0,sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
        | ~ aScalar0(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).

fof(f343,plain,
    ! [X0,X1] :
      ( ~ sQ21_spl
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),X1)
      | ~ aScalar0(X0)
      | ~ aScalar0(X1)
      | ~ sdtlseqdt0(X0,sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
      | ~ aScalar0(X0) ),
    inference(component_clause,[status(thm)],[f342]) ).

fof(f345,plain,
    ( ~ sQ19_spl
    | ~ sQ4_spl
    | sQ21_spl ),
    inference(split_clause,[status(thm)],[f331,f342,f249,f322]) ).

fof(f368,plain,
    ! [X0,X1] :
      ( ~ sQ21_spl
      | ~ sdtlseqdt0(X1,X0)
      | ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),X1)
      | ~ aScalar0(X1)
      | ~ sdtlseqdt0(X0,sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
      | ~ aScalar0(X0) ),
    inference(duplicate_literals_removal,[status(thm)],[f343]) ).

fof(f380,definition,
    ( sQ27_spl
  <=> aScalar0(xN) ),
    introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).

fof(f382,plain,
    ( sQ27_spl
    | ~ aScalar0(xN) ),
    inference(component_clause,[status(thm)],[f380]) ).

fof(f409,plain,
    ( sQ27_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f382,f197]) ).

fof(f410,plain,
    sQ27_spl,
    inference(contradiction_clause,[status(thm)],[f409]) ).

fof(f451,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ21_spl
      | ~ sdtlseqdt0(X3,X1)
      | ~ sdtlseqdt0(X2,X0)
      | ~ aScalar0(X1)
      | ~ aScalar0(X3)
      | ~ aScalar0(X0)
      | ~ aScalar0(X2)
      | ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(X2,X3))
      | ~ aScalar0(sdtpldt0(X2,X3))
      | ~ sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
      | ~ aScalar0(sdtpldt0(X0,X1)) ),
    inference(resolution,[status(thm)],[f368,f127]) ).

fof(f487,definition,
    ( sQ42_spl
  <=> sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))) ),
    introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).

fof(f489,plain,
    ( sQ42_spl
    | ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))) ),
    inference(component_clause,[status(thm)],[f487]) ).

fof(f496,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ21_spl
      | ~ sdtlseqdt0(X3,X1)
      | ~ sdtlseqdt0(X2,X0)
      | ~ aScalar0(X1)
      | ~ aScalar0(X3)
      | ~ aScalar0(X0)
      | ~ aScalar0(X2)
      | ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(X2,X3))
      | ~ aScalar0(sdtpldt0(X2,X3))
      | ~ sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
    inference(forward_subsumption_resolution,[status(thm)],[f451,f89]) ).

fof(f813,plain,
    ( ~ sQ21_spl
    | ~ aScalar0(xN)
    | ~ aScalar0(sdtasdt0(xP,xP))
    | ~ aScalar0(xN)
    | ~ aScalar0(sdtasdt0(xP,xP))
    | ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
    | ~ aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
    | ~ sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
    inference(resolution,[status(thm)],[f496,f200]) ).

fof(f941,definition,
    ( sQ102_spl
  <=> sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
    introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).

fof(f943,plain,
    ( sQ102_spl
    | ~ sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
    inference(component_clause,[status(thm)],[f941]) ).

fof(f957,plain,
    ( ~ sQ21_spl
    | ~ sQ27_spl
    | ~ sQ9_spl
    | ~ sQ42_spl
    | ~ sQ4_spl
    | ~ sQ102_spl ),
    inference(split_clause,[status(thm)],[f813,f941,f249,f487,f270,f380,f342]) ).

fof(f1022,plain,
    ( sQ102_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f943,f209]) ).

fof(f1023,plain,
    sQ102_spl,
    inference(contradiction_clause,[status(thm)],[f1022]) ).

fof(f1996,plain,
    ( sQ42_spl
    | ~ aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))) ),
    inference(resolution,[status(thm)],[f489,f121]) ).

fof(f2004,plain,
    ( sQ42_spl
    | ~ sQ4_spl ),
    inference(split_clause,[status(thm)],[f1996,f249,f487]) ).

fof(f2006,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f297,f299,f304,f306,f311,f313,f325,f327,f329,f345,f410,f957,f1023,f2004]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : RNG065+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.34  % Computer : n005.cluster.edu
% 0.10/0.34  % Model    : x86_64 x86_64
% 0.10/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34  % Memory   : 8046.5625MB
% 0.10/0.34  % OS       : Linux 6.8.0-71-generic
% 0.10/0.34  % CPULimit : 300
% 0.10/0.34  % WCLimit  : 300
% 0.10/0.34  % DateTime : Mon Sep 21 04:17:02 UTC 2026
% 0.10/0.35  % CPUTime  : 
% 0.10/0.36  % Drodi V4.1.1
% 4.76/1.08  % Refutation found
% 4.76/1.08  % SZS status Theorem for theBenchmark: Theorem is valid
% 4.76/1.08  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.39/1.12  % Elapsed time: 0.761727 seconds
% 0.39/1.12  % CPU time: 5.556732 seconds
% 0.39/1.12  % Total memory used: 154.999 MB
% 0.39/1.12  % Net memory used: 151.403 MB
%------------------------------------------------------------------------------