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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : RNG065+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n014.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 0.14s 5.82s
% Output   : CNFRefutation 0.14s
% 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(f197,plain,
    aScalar0(xR),
    inference(cnf_transformation,[status(thm)],[f52]) ).

fof(f199,plain,
    aScalar0(xP),
    inference(cnf_transformation,[status(thm)],[f53]) ).

fof(f201,plain,
    aScalar0(xS),
    inference(cnf_transformation,[status(thm)],[f54]) ).

fof(f203,plain,
    aScalar0(xN),
    inference(cnf_transformation,[status(thm)],[f55]) ).

fof(f206,plain,
    sdtlseqdt0(sdtasdt0(xP,xP),xN),
    inference(cnf_transformation,[status(thm)],[f57]) ).

fof(f215,plain,
    sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
    inference(cnf_transformation,[status(thm)],[f64]) ).

fof(f216,plain,
    ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
    inference(cnf_transformation,[status(thm)],[f66]) ).

fof(f256,definition,
    ( sQ4_spl
  <=> aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f258,plain,
    ( sQ4_spl
    | ~ aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))) ),
    inference(component_clause,[status(thm)],[f256]) ).

fof(f259,definition,
    ( sQ5_spl
  <=> aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f261,plain,
    ( sQ5_spl
    | ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
    inference(component_clause,[status(thm)],[f259]) ).

fof(f272,definition,
    ( sQ8_spl
  <=> aScalar0(sdtasdt0(xS,xS)) ),
    introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).

fof(f274,plain,
    ( sQ8_spl
    | ~ aScalar0(sdtasdt0(xS,xS)) ),
    inference(component_clause,[status(thm)],[f272]) ).

fof(f277,definition,
    ( sQ9_spl
  <=> aScalar0(sdtasdt0(xP,xP)) ),
    introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).

fof(f279,plain,
    ( sQ9_spl
    | ~ aScalar0(sdtasdt0(xP,xP)) ),
    inference(component_clause,[status(thm)],[f277]) ).

fof(f280,definition,
    ( sQ10_spl
  <=> aScalar0(sdtasdt0(xR,xR)) ),
    introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).

fof(f282,plain,
    ( sQ10_spl
    | ~ aScalar0(sdtasdt0(xR,xR)) ),
    inference(component_clause,[status(thm)],[f280]) ).

fof(f300,plain,
    ( sQ10_spl
    | ~ aScalar0(xR)
    | ~ aScalar0(xR) ),
    inference(resolution,[status(thm)],[f282,f91]) ).

fof(f301,definition,
    ( sQ15_spl
  <=> aScalar0(xR) ),
    introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).

fof(f303,plain,
    ( sQ15_spl
    | ~ aScalar0(xR) ),
    inference(component_clause,[status(thm)],[f301]) ).

fof(f304,plain,
    ( sQ10_spl
    | ~ sQ15_spl ),
    inference(split_clause,[status(thm)],[f300,f301,f280]) ).

fof(f305,plain,
    ( sQ15_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f303,f197]) ).

fof(f306,plain,
    sQ15_spl,
    inference(contradiction_clause,[status(thm)],[f305]) ).

fof(f307,plain,
    ( sQ9_spl
    | ~ aScalar0(xP)
    | ~ aScalar0(xP) ),
    inference(resolution,[status(thm)],[f279,f91]) ).

fof(f308,definition,
    ( sQ16_spl
  <=> aScalar0(xP) ),
    introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).

fof(f310,plain,
    ( sQ16_spl
    | ~ aScalar0(xP) ),
    inference(component_clause,[status(thm)],[f308]) ).

fof(f311,plain,
    ( sQ9_spl
    | ~ sQ16_spl ),
    inference(split_clause,[status(thm)],[f307,f308,f277]) ).

fof(f312,plain,
    ( sQ16_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f310,f199]) ).

fof(f313,plain,
    sQ16_spl,
    inference(contradiction_clause,[status(thm)],[f312]) ).

fof(f314,plain,
    ( sQ8_spl
    | ~ aScalar0(xS)
    | ~ aScalar0(xS) ),
    inference(resolution,[status(thm)],[f274,f91]) ).

fof(f315,definition,
    ( sQ17_spl
  <=> aScalar0(xS) ),
    introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).

fof(f317,plain,
    ( sQ17_spl
    | ~ aScalar0(xS) ),
    inference(component_clause,[status(thm)],[f315]) ).

fof(f318,plain,
    ( sQ8_spl
    | ~ sQ17_spl ),
    inference(split_clause,[status(thm)],[f314,f315,f272]) ).

fof(f319,plain,
    ( sQ17_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f317,f201]) ).

fof(f320,plain,
    sQ17_spl,
    inference(contradiction_clause,[status(thm)],[f319]) ).

fof(f324,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,f216]) ).

fof(f329,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(f330,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)],[f329]) ).

fof(f332,plain,
    ( ~ sQ5_spl
    | sQ19_spl
    | ~ sQ4_spl ),
    inference(split_clause,[status(thm)],[f324,f256,f329,f259]) ).

fof(f333,plain,
    ( sQ5_spl
    | ~ aScalar0(sdtasdt0(xS,xS))
    | ~ aScalar0(sdtasdt0(xR,xR)) ),
    inference(resolution,[status(thm)],[f261,f89]) ).

fof(f334,plain,
    ( sQ5_spl
    | ~ sQ8_spl
    | ~ sQ10_spl ),
    inference(split_clause,[status(thm)],[f333,f280,f272,f259]) ).

fof(f335,plain,
    ( sQ4_spl
    | ~ aScalar0(sdtasdt0(xP,xP))
    | ~ aScalar0(sdtasdt0(xP,xP)) ),
    inference(resolution,[status(thm)],[f258,f89]) ).

fof(f336,plain,
    ( sQ4_spl
    | ~ sQ9_spl ),
    inference(split_clause,[status(thm)],[f335,f277,f256]) ).

fof(f338,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)],[f330,f125]) ).

fof(f349,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(f350,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)],[f349]) ).

fof(f352,plain,
    ( ~ sQ19_spl
    | ~ sQ4_spl
    | sQ21_spl ),
    inference(split_clause,[status(thm)],[f338,f349,f256,f329]) ).

fof(f375,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)],[f350]) ).

fof(f387,definition,
    ( sQ27_spl
  <=> aScalar0(xN) ),
    introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).

fof(f389,plain,
    ( sQ27_spl
    | ~ aScalar0(xN) ),
    inference(component_clause,[status(thm)],[f387]) ).

fof(f416,plain,
    ( sQ27_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f389,f203]) ).

fof(f417,plain,
    sQ27_spl,
    inference(contradiction_clause,[status(thm)],[f416]) ).

fof(f458,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)],[f375,f127]) ).

fof(f494,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(f496,plain,
    ( sQ42_spl
    | ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))) ),
    inference(component_clause,[status(thm)],[f494]) ).

fof(f503,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)],[f458,f89]) ).

fof(f820,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)],[f503,f206]) ).

fof(f948,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(f950,plain,
    ( sQ102_spl
    | ~ sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
    inference(component_clause,[status(thm)],[f948]) ).

fof(f964,plain,
    ( ~ sQ21_spl
    | ~ sQ27_spl
    | ~ sQ9_spl
    | ~ sQ42_spl
    | ~ sQ4_spl
    | ~ sQ102_spl ),
    inference(split_clause,[status(thm)],[f820,f948,f256,f494,f277,f387,f349]) ).

fof(f1029,plain,
    ( sQ102_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f950,f215]) ).

fof(f1030,plain,
    sQ102_spl,
    inference(contradiction_clause,[status(thm)],[f1029]) ).

fof(f2003,plain,
    ( sQ42_spl
    | ~ aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))) ),
    inference(resolution,[status(thm)],[f496,f121]) ).

fof(f2011,plain,
    ( sQ42_spl
    | ~ sQ4_spl ),
    inference(split_clause,[status(thm)],[f2003,f256,f494]) ).

fof(f2013,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f304,f306,f311,f313,f318,f320,f332,f334,f336,f352,f417,f964,f1030,f2011]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : RNG065+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.38  % Computer : n014.cluster.edu
% 0.11/5.38  % Model    : x86_64 x86_64
% 0.11/5.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38  % Memory   : 8046.5625MB
% 0.11/5.38  % OS       : Linux 6.8.0-71-generic
% 0.11/5.38  % CPULimit : 300
% 0.11/5.38  % WCLimit  : 300
% 0.11/5.38  % DateTime : Mon Sep 21 04:17:10 UTC 2026
% 0.11/5.38  % CPUTime  : 
% 0.11/5.39  % Drodi V4.1.1
% 0.14/5.82  % Refutation found
% 0.14/5.82  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/5.82  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/5.84  % Elapsed time: 0.439163 seconds
% 0.14/5.84  % CPU time: 3.281579 seconds
% 0.14/5.84  % Total memory used: 152.602 MB
% 0.14/5.84  % Net memory used: 149.137 MB
%------------------------------------------------------------------------------