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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : NUM856+2 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n020.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 01:41:51 PM UTC 2026

% Result   : Theorem 0.13s 0.40s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   29
% Syntax   : Number of formulae    :  109 (  16 unt;  14 def)
%            Number of atoms       :  246 (  47 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  238 ( 101   ~;  94   |;  20   &)
%                                         (  16 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   20 (  18 usr;  15 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :  130 ( 130   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    greater(vmul(vd517,vd519),vmul(vd518,vd520)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ~ greater(vmul(vd517,vd519),vmul(vd518,vd520)),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,axiom,
    ( ( greater(vd517,vd518)
      & geq(vd519,vd520) )
    | ( geq(vd517,vd518)
      & greater(vd519,vd520) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [Vd501,Vd502,Vd504,Vd505] :
      ( ( greater(Vd501,Vd502)
        & greater(Vd504,Vd505) )
     => greater(vmul(Vd501,Vd504),vmul(Vd502,Vd505)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [Vd491,Vd492,Vd493] :
      ( vmul(Vd491,Vd492) = vmul(Vd493,Vd492)
     => Vd491 = Vd493 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    ! [Vd456,Vd457,Vd458] :
      ( greater(Vd457,Vd458)
     => greater(vmul(Vd457,Vd456),vmul(Vd458,Vd456)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    ! [Vd418,Vd419] : vmul(Vd418,Vd419) = vmul(Vd419,Vd418),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f15,axiom,
    ! [Vd400] : vmul(v1,Vd400) = Vd400,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f16,axiom,
    ! [Vd396,Vd397] :
      ( vmul(Vd396,v1) = Vd396
      & vmul(Vd396,vsucc(Vd397)) = vplus(vmul(Vd396,Vd397),Vd396) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f21,axiom,
    ! [Vd353,Vd354,Vd355,Vd356] :
      ( ( ( greater(Vd353,Vd354)
          & geq(Vd355,Vd356) )
        | ( geq(Vd353,Vd354)
          & greater(Vd355,Vd356) ) )
     => greater(vplus(Vd353,Vd355),vplus(Vd354,Vd356)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f25,axiom,
    ! [Vd328,Vd329,Vd330] :
      ( greater(vplus(Vd328,Vd330),vplus(Vd329,Vd330))
     => greater(Vd328,Vd329) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f34,axiom,
    ! [Vd254,Vd255] :
      ( geq(Vd254,Vd255)
     => leq(Vd255,Vd254) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f35,axiom,
    ! [Vd249,Vd250] :
      ( leq(Vd250,Vd249)
    <=> ( Vd250 = Vd249
        | less(Vd250,Vd249) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f36,axiom,
    ! [Vd244,Vd245] :
      ( geq(Vd245,Vd244)
    <=> ( Vd245 = Vd244
        | greater(Vd245,Vd244) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f37,axiom,
    ! [Vd226,Vd227] :
      ( less(Vd226,Vd227)
     => greater(Vd227,Vd226) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f42,axiom,
    ! [Vd203,Vd204] :
      ( ~ greater(Vd203,Vd204)
      | Vd203 != Vd204 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f61,plain,
    ~ greater(vmul(vd517,vd519),vmul(vd518,vd520)),
    inference(cnf_transformation,[status(thm)],[f2]) ).

fof(f62,definition,
    ( sP0_prd
  <=> ( geq(vd517,vd518)
      & greater(vd519,vd520) ) ),
    introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).

fof(f63,plain,
    ( ( greater(vd517,vd518)
      & geq(vd519,vd520) )
    | sP0_prd ),
    inference(formula_renaming,[status(thm)],[f3,f62]) ).

fof(f64,plain,
    ( geq(vd519,vd520)
    | sP0_prd ),
    inference(cnf_transformation,[status(thm)],[f63]) ).

fof(f65,plain,
    ( greater(vd517,vd518)
    | sP0_prd ),
    inference(cnf_transformation,[status(thm)],[f63]) ).

fof(f66,plain,
    ! [Vd501,Vd502,Vd504,Vd505] :
      ( greater(vmul(Vd501,Vd504),vmul(Vd502,Vd505))
      | ~ greater(Vd501,Vd502)
      | ~ greater(Vd504,Vd505) ),
    inference(pre_NNF_transformation,[status(thm)],[f4]) ).

fof(f67,plain,
    ! [X0,X1,X2,X3] :
      ( greater(vmul(X2,X0),vmul(X3,X1))
      | ~ greater(X2,X3)
      | ~ greater(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f66]) ).

fof(f71,plain,
    ! [Vd491,Vd492,Vd493] :
      ( Vd491 = Vd493
      | vmul(Vd491,Vd492) != vmul(Vd493,Vd492) ),
    inference(pre_NNF_transformation,[status(thm)],[f6]) ).

fof(f72,plain,
    ! [Vd491,Vd493] :
      ( Vd491 = Vd493
      | ! [Vd492] : vmul(Vd491,Vd492) != vmul(Vd493,Vd492) ),
    inference(miniscoping,[status(thm)],[f71]) ).

fof(f73,plain,
    ! [X0,X1,X2] :
      ( X0 = X2
      | vmul(X0,X1) != vmul(X2,X1) ),
    inference(cnf_transformation,[status(thm)],[f72]) ).

fof(f83,plain,
    ! [Vd456,Vd457,Vd458] :
      ( greater(vmul(Vd457,Vd456),vmul(Vd458,Vd456))
      | ~ greater(Vd457,Vd458) ),
    inference(pre_NNF_transformation,[status(thm)],[f10]) ).

fof(f84,plain,
    ! [Vd457,Vd458] :
      ( ! [Vd456] : greater(vmul(Vd457,Vd456),vmul(Vd458,Vd456))
      | ~ greater(Vd457,Vd458) ),
    inference(miniscoping,[status(thm)],[f83]) ).

fof(f85,plain,
    ! [X0,X1,X2] :
      ( greater(vmul(X0,X2),vmul(X1,X2))
      | ~ greater(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f84]) ).

fof(f88,plain,
    ! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
    inference(cnf_transformation,[status(thm)],[f13]) ).

fof(f90,plain,
    ! [X0] : vmul(v1,X0) = X0,
    inference(cnf_transformation,[status(thm)],[f15]) ).

fof(f91,plain,
    ( ! [Vd396] : vmul(Vd396,v1) = Vd396
    & ! [Vd396,Vd397] : vmul(Vd396,vsucc(Vd397)) = vplus(vmul(Vd396,Vd397),Vd396) ),
    inference(miniscoping,[status(thm)],[f16]) ).

fof(f93,plain,
    ! [X0] : vmul(X0,v1) = X0,
    inference(cnf_transformation,[status(thm)],[f91]) ).

fof(f101,plain,
    ! [Vd353,Vd354,Vd355,Vd356] :
      ( greater(vplus(Vd353,Vd355),vplus(Vd354,Vd356))
      | ( ( ~ greater(Vd353,Vd354)
          | ~ geq(Vd355,Vd356) )
        & ( ~ geq(Vd353,Vd354)
          | ~ greater(Vd355,Vd356) ) ) ),
    inference(pre_NNF_transformation,[status(thm)],[f21]) ).

fof(f103,plain,
    ! [X0,X1,X2,X3] :
      ( greater(vplus(X2,X0),vplus(X3,X1))
      | ~ greater(X2,X3)
      | ~ geq(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f101]) ).

fof(f112,plain,
    ! [Vd328,Vd329,Vd330] :
      ( greater(Vd328,Vd329)
      | ~ greater(vplus(Vd328,Vd330),vplus(Vd329,Vd330)) ),
    inference(pre_NNF_transformation,[status(thm)],[f25]) ).

fof(f113,plain,
    ! [Vd328,Vd329] :
      ( greater(Vd328,Vd329)
      | ! [Vd330] : ~ greater(vplus(Vd328,Vd330),vplus(Vd329,Vd330)) ),
    inference(miniscoping,[status(thm)],[f112]) ).

fof(f114,plain,
    ! [X0,X1,X2] :
      ( greater(X0,X2)
      | ~ greater(vplus(X0,X1),vplus(X2,X1)) ),
    inference(cnf_transformation,[status(thm)],[f113]) ).

fof(f137,plain,
    ! [Vd254,Vd255] :
      ( leq(Vd255,Vd254)
      | ~ geq(Vd254,Vd255) ),
    inference(pre_NNF_transformation,[status(thm)],[f34]) ).

fof(f138,plain,
    ! [X0,X1] :
      ( leq(X1,X0)
      | ~ geq(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f137]) ).

fof(f139,plain,
    ! [Vd249,Vd250] :
      ( ( ( Vd250 != Vd249
          & ~ less(Vd250,Vd249) )
        | leq(Vd250,Vd249) )
      & ( Vd250 = Vd249
        | less(Vd250,Vd249)
        | ~ leq(Vd250,Vd249) ) ),
    inference(NNF_transformation,[status(thm)],[f35]) ).

fof(f140,plain,
    ( ! [Vd249,Vd250] :
        ( ( Vd250 != Vd249
          & ~ less(Vd250,Vd249) )
        | leq(Vd250,Vd249) )
    & ! [Vd249,Vd250] :
        ( Vd250 = Vd249
        | less(Vd250,Vd249)
        | ~ leq(Vd250,Vd249) ) ),
    inference(miniscoping,[status(thm)],[f139]) ).

fof(f141,plain,
    ! [X0,X1] :
      ( X0 = X1
      | less(X0,X1)
      | ~ leq(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f140]) ).

fof(f144,plain,
    ! [Vd244,Vd245] :
      ( ( ( Vd245 != Vd244
          & ~ greater(Vd245,Vd244) )
        | geq(Vd245,Vd244) )
      & ( Vd245 = Vd244
        | greater(Vd245,Vd244)
        | ~ geq(Vd245,Vd244) ) ),
    inference(NNF_transformation,[status(thm)],[f36]) ).

fof(f145,plain,
    ( ! [Vd244,Vd245] :
        ( ( Vd245 != Vd244
          & ~ greater(Vd245,Vd244) )
        | geq(Vd245,Vd244) )
    & ! [Vd244,Vd245] :
        ( Vd245 = Vd244
        | greater(Vd245,Vd244)
        | ~ geq(Vd245,Vd244) ) ),
    inference(miniscoping,[status(thm)],[f144]) ).

fof(f146,plain,
    ! [X0,X1] :
      ( X0 = X1
      | greater(X0,X1)
      | ~ geq(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f145]) ).

fof(f148,plain,
    ! [X0,X1] :
      ( X0 != X1
      | geq(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f145]) ).

fof(f149,plain,
    ! [Vd226,Vd227] :
      ( greater(Vd227,Vd226)
      | ~ less(Vd226,Vd227) ),
    inference(pre_NNF_transformation,[status(thm)],[f37]) ).

fof(f150,plain,
    ! [X0,X1] :
      ( greater(X1,X0)
      | ~ less(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f149]) ).

fof(f156,plain,
    ! [X0,X1] :
      ( ~ greater(X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[status(thm)],[f42]) ).

fof(f193,plain,
    ( ( ~ geq(vd517,vd518)
      | ~ greater(vd519,vd520)
      | sP0_prd )
    & ( ( geq(vd517,vd518)
        & greater(vd519,vd520) )
      | ~ sP0_prd ) ),
    inference(NNF_transformation,[status(thm)],[f62]) ).

fof(f194,plain,
    ( greater(vd519,vd520)
    | ~ sP0_prd ),
    inference(cnf_transformation,[status(thm)],[f193]) ).

fof(f195,plain,
    ( geq(vd517,vd518)
    | ~ sP0_prd ),
    inference(cnf_transformation,[status(thm)],[f193]) ).

fof(f197,definition,
    ( sQ0_spl
  <=> sP0_prd ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f200,definition,
    ( sQ1_spl
  <=> geq(vd519,vd520) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f201,plain,
    ( ~ sQ1_spl
    | geq(vd519,vd520) ),
    inference(component_clause,[status(thm)],[f200]) ).

fof(f203,plain,
    ( sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f64,f197,f200]) ).

fof(f204,definition,
    ( sQ2_spl
  <=> greater(vd517,vd518) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f207,plain,
    ( sQ2_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f65,f197,f204]) ).

fof(f208,definition,
    ( sQ3_spl
  <=> greater(vd519,vd520) ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f211,plain,
    ( sQ3_spl
    | ~ sQ0_spl ),
    inference(split_clause,[status(thm)],[f194,f197,f208]) ).

fof(f212,definition,
    ( sQ4_spl
  <=> geq(vd517,vd518) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f213,plain,
    ( ~ sQ4_spl
    | geq(vd517,vd518) ),
    inference(component_clause,[status(thm)],[f212]) ).

fof(f215,plain,
    ( sQ4_spl
    | ~ sQ0_spl ),
    inference(split_clause,[status(thm)],[f195,f197,f212]) ).

fof(f218,plain,
    ! [X0] : geq(X0,X0),
    inference(destructive_equality_resolution,[status(thm)],[f148]) ).

fof(f220,plain,
    ! [X0] : ~ greater(X0,X0),
    inference(destructive_equality_resolution,[status(thm)],[f156]) ).

fof(f226,plain,
    ( ~ greater(vd517,vd518)
    | ~ greater(vd519,vd520) ),
    inference(resolution,[status(thm)],[f67,f61]) ).

fof(f227,plain,
    ! [X0,X1] :
      ( ~ greater(X1,X1)
      | ~ greater(X0,X0) ),
    inference(resolution,[status(thm)],[f67,f220]) ).

fof(f228,plain,
    ( ~ sQ2_spl
    | ~ sQ3_spl ),
    inference(split_clause,[status(thm)],[f226,f208,f204]) ).

fof(f229,definition,
    ! [X0] :
      ( sQ5_spl
    <=> ~ greater(X0,X0) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f232,plain,
    sQ5_spl,
    inference(split_clause,[status(thm)],[f227,f229]) ).

fof(f237,plain,
    ~ greater(vmul(vd517,vd519),vmul(vd520,vd518)),
    inference(paramodulation,[status(thm)],[f88,f61]) ).

fof(f247,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | vmul(X0,X1) != vmul(X2,X0) ),
    inference(paramodulation,[status(thm)],[f88,f73]) ).

fof(f271,definition,
    ! [X0,X1] :
      ( sQ6_spl
    <=> ( ~ greater(X0,X1)
        | greater(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f292,plain,
    ! [X0,X1] :
      ( X1 = v1
      | vmul(X0,X1) != X0 ),
    inference(paramodulation,[status(thm)],[f90,f247]) ).

fof(f376,plain,
    ~ greater(vmul(vd519,vd517),vmul(vd520,vd518)),
    inference(paramodulation,[status(thm)],[f88,f237]) ).

fof(f395,plain,
    ! [X0] :
      ( v1 = v1
      | X0 != X0 ),
    inference(paramodulation,[status(thm)],[f93,f292]) ).

fof(f398,definition,
    ! [X0] :
      ( sQ9_spl
    <=> X0 != X0 ),
    introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).

fof(f399,plain,
    ! [X0] :
      ( ~ sQ9_spl
      | X0 != X0 ),
    inference(component_clause,[status(thm)],[f398]) ).

fof(f401,definition,
    ( sQ10_spl
  <=> v1 = v1 ),
    introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).

fof(f404,plain,
    ( sQ10_spl
    | sQ9_spl ),
    inference(split_clause,[status(thm)],[f395,f398,f401]) ).

fof(f405,plain,
    ( ~ sQ9_spl
    | $false ),
    inference(trivial_equality_resolution,[status(thm)],[f399]) ).

fof(f406,plain,
    ~ sQ9_spl,
    inference(contradiction_clause,[status(thm)],[f405]) ).

fof(f745,definition,
    ! [X1] :
      ( sQ12_spl
    <=> ~ geq(X1,X1) ),
    introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).

fof(f746,plain,
    ! [X0] :
      ( ~ sQ12_spl
      | ~ geq(X0,X0) ),
    inference(component_clause,[status(thm)],[f745]) ).

fof(f903,plain,
    ! [X0,X1,X2] :
      ( greater(X1,X2)
      | ~ greater(X1,X2)
      | ~ geq(X0,X0) ),
    inference(resolution,[status(thm)],[f103,f114]) ).

fof(f925,plain,
    ( sQ6_spl
    | sQ12_spl ),
    inference(split_clause,[status(thm)],[f903,f745,f271]) ).

fof(f928,plain,
    ( ~ sQ12_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f746,f218]) ).

fof(f929,plain,
    ~ sQ12_spl,
    inference(contradiction_clause,[status(thm)],[f928]) ).

fof(f1219,definition,
    ( sQ16_spl
  <=> less(vd520,vd519) ),
    introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).

fof(f1220,plain,
    ( ~ sQ16_spl
    | less(vd520,vd519) ),
    inference(component_clause,[status(thm)],[f1219]) ).

fof(f1222,definition,
    ( sQ17_spl
  <=> vd520 = vd519 ),
    introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).

fof(f1223,plain,
    ( ~ sQ17_spl
    | vd520 = vd519 ),
    inference(component_clause,[status(thm)],[f1222]) ).

fof(f1229,definition,
    ( sQ19_spl
  <=> vd518 = vd517 ),
    introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).

fof(f1230,plain,
    ( ~ sQ19_spl
    | vd518 = vd517 ),
    inference(component_clause,[status(thm)],[f1229]) ).

fof(f1239,plain,
    ( ~ sQ19_spl
    | ~ greater(vmul(vd519,vd518),vmul(vd520,vd518)) ),
    inference(backward_demodulation,[status(thm)],[f1230,f376]) ).

fof(f1244,plain,
    ( ~ sQ19_spl
    | ~ greater(vd519,vd520) ),
    inference(resolution,[status(thm)],[f1239,f85]) ).

fof(f1269,plain,
    ( ~ sQ16_spl
    | greater(vd519,vd520) ),
    inference(resolution,[status(thm)],[f1220,f150]) ).

fof(f1273,plain,
    ( ~ sQ1_spl
    | leq(vd520,vd519) ),
    inference(resolution,[status(thm)],[f201,f138]) ).

fof(f1291,plain,
    ( ~ sQ1_spl
    | vd520 = vd519
    | less(vd520,vd519) ),
    inference(resolution,[status(thm)],[f1273,f141]) ).

fof(f1294,plain,
    ( ~ sQ1_spl
    | sQ17_spl
    | sQ16_spl ),
    inference(split_clause,[status(thm)],[f1291,f1219,f1222,f200]) ).

fof(f1296,plain,
    ( ~ sQ17_spl
    | ~ greater(vmul(vd517,vd520),vmul(vd518,vd520)) ),
    inference(backward_demodulation,[status(thm)],[f1223,f61]) ).

fof(f1319,plain,
    ( ~ sQ4_spl
    | vd517 = vd518
    | greater(vd517,vd518) ),
    inference(resolution,[status(thm)],[f146,f213]) ).

fof(f1328,plain,
    ( ~ sQ4_spl
    | sQ19_spl
    | sQ2_spl ),
    inference(split_clause,[status(thm)],[f1319,f204,f1229,f212]) ).

fof(f1354,plain,
    ( ~ sQ16_spl
    | sQ3_spl ),
    inference(split_clause,[status(thm)],[f1269,f208,f1219]) ).

fof(f1355,plain,
    ( ~ sQ19_spl
    | ~ sQ3_spl ),
    inference(split_clause,[status(thm)],[f1244,f208,f1229]) ).

fof(f1420,plain,
    ( ~ sQ17_spl
    | ~ greater(vd517,vd518) ),
    inference(resolution,[status(thm)],[f1296,f85]) ).

fof(f1431,plain,
    ( ~ sQ17_spl
    | ~ sQ2_spl ),
    inference(split_clause,[status(thm)],[f1420,f204,f1222]) ).

fof(f1443,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f203,f207,f211,f215,f228,f232,f404,f406,f925,f929,f1294,f1328,f1354,f1355,f1431]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM856+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35  % Computer : n020.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 : Mon Sep 21 03:14:33 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 0.13/0.37  % Drodi V4.1.1
% 0.13/0.40  % Refutation found
% 0.13/0.40  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.40  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.43  % Elapsed time: 0.067763 seconds
% 0.13/0.43  % CPU time: 0.247958 seconds
% 0.13/0.43  % Total memory used: 105.884 MB
% 0.13/0.43  % Net memory used: 105.606 MB
%------------------------------------------------------------------------------