TSTP Solution File: COM138+1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : COM138+1 : TPTP v8.1.2. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May 31 12:04:07 EDT 2023

% Result   : Theorem 2.35s 0.72s
% Output   : CNFRefutation 2.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   76 (  13 unt;   0 def)
%            Number of atoms       :  217 ( 102 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  217 (  76   ~;  78   |;  43   &)
%                                         (   6 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   7 prp; 0-4 aty)
%            Number of functors    :   20 (  20 usr;   5 con; 0-3 aty)
%            Number of variables   :  184 (; 137   !;  47   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [VVar0,VVar1] :
      ( ( vvar(VVar0) = vvar(VVar1)
       => VVar0 = VVar1 )
      & ( VVar0 = VVar1
       => vvar(VVar0) = vvar(VVar1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [VVar0,VVar1,VTyp0,VExp0] : vvar(VVar0) != vabs(VVar1,VTyp0,VExp0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [VVar0,VExp0,VExp1] : vvar(VVar0) != vapp(VExp0,VExp1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    ! [VVar0,VExp0,Vx,Vv] :
      ( ( VVar0 = Vv
        & VExp0 = vvar(Vx) )
     => ( ( Vx = Vv
         => visFreeVar(VVar0,VExp0) )
        & ( visFreeVar(VVar0,VExp0)
         => Vx = Vv ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f24,axiom,
    ! [VTy,Vy,VVar0,VCtx0,RESULT,Vx,VC] :
      ( ( VVar0 = Vx
        & VCtx0 = vbind(Vy,VTy,VC) )
     => ( Vx != Vy
       => ( RESULT = vlookup(VVar0,VCtx0)
         => RESULT = vlookup(Vx,VC) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f51,axiom,
    ! [VC,Vx,VT] :
      ( vlookup(Vx,VC) = vsomeType(VT)
     => vtcheck(VC,vvar(Vx),VT) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f54,axiom,
    ! [Ve,VT,VC] :
      ( vtcheck(VC,Ve,VT)
     => ( ? [Vx] :
            ( Ve = vvar(Vx)
            & vlookup(Vx,VC) = vsomeType(VT) )
        | ? [Vx,Ve2,VT1,VT2] :
            ( Ve = vabs(Vx,VT1,Ve2)
            & VT = varrow(VT1,VT2)
            & vtcheck(vbind(Vx,VT1,VC),Ve2,VT2) )
        | ? [Ve1,Ve2,VS] :
            ( Ve = vapp(Ve1,Ve2)
            & vtcheck(VC,Ve1,varrow(VS,VT))
            & vtcheck(VC,Ve2,VS) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f56,conjecture,
    ! [Vx,VS,VC,Vy,VT] :
      ( ( ~ visFreeVar(Vx,vvar(Vy))
        & vtcheck(vbind(Vx,VS,VC),vvar(Vy),VT) )
     => vtcheck(VC,vvar(Vy),VT) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f57,negated_conjecture,
    ~ ! [Vx,VS,VC,Vy,VT] :
        ( ( ~ visFreeVar(Vx,vvar(Vy))
          & vtcheck(vbind(Vx,VS,VC),vvar(Vy),VT) )
       => vtcheck(VC,vvar(Vy),VT) ),
    inference(negated_conjecture,[status(cth)],[f56]) ).

fof(f58,plain,
    ! [VVar0,VVar1] :
      ( ( vvar(VVar0) != vvar(VVar1)
        | VVar0 = VVar1 )
      & ( VVar0 != VVar1
        | vvar(VVar0) = vvar(VVar1) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f1]) ).

fof(f59,plain,
    ( ! [VVar0,VVar1] :
        ( vvar(VVar0) != vvar(VVar1)
        | VVar0 = VVar1 )
    & ! [VVar0,VVar1] :
        ( VVar0 != VVar1
        | vvar(VVar0) = vvar(VVar1) ) ),
    inference(miniscoping,[status(esa)],[f58]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( vvar(X0) != vvar(X1)
      | X0 = X1 ),
    inference(cnf_transformation,[status(esa)],[f59]) ).

fof(f73,plain,
    ! [X0,X1,X2,X3] : vvar(X0) != vabs(X1,X2,X3),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f74,plain,
    ! [X0,X1,X2] : vvar(X0) != vapp(X1,X2),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f85,plain,
    ! [VVar0,VExp0,Vx,Vv] :
      ( VVar0 != Vv
      | VExp0 != vvar(Vx)
      | ( ( Vx != Vv
          | visFreeVar(VVar0,VExp0) )
        & ( ~ visFreeVar(VVar0,VExp0)
          | Vx = Vv ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f10]) ).

fof(f86,plain,
    ! [X0,X1,X2,X3] :
      ( X0 != X1
      | X2 != vvar(X3)
      | X3 != X1
      | visFreeVar(X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f85]) ).

fof(f129,plain,
    ! [VTy,Vy,VVar0,VCtx0,RESULT,Vx,VC] :
      ( VVar0 != Vx
      | VCtx0 != vbind(Vy,VTy,VC)
      | Vx = Vy
      | RESULT != vlookup(VVar0,VCtx0)
      | RESULT = vlookup(Vx,VC) ),
    inference(pre_NNF_transformation,[status(esa)],[f24]) ).

fof(f130,plain,
    ! [Vy,VVar0,VCtx0,Vx,VC] :
      ( VVar0 != Vx
      | ! [VTy] : VCtx0 != vbind(Vy,VTy,VC)
      | Vx = Vy
      | ! [RESULT] :
          ( RESULT != vlookup(VVar0,VCtx0)
          | RESULT = vlookup(Vx,VC) ) ),
    inference(miniscoping,[status(esa)],[f129]) ).

fof(f131,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( X0 != X1
      | X2 != vbind(X3,X4,X5)
      | X1 = X3
      | X6 != vlookup(X0,X2)
      | X6 = vlookup(X1,X5) ),
    inference(cnf_transformation,[status(esa)],[f130]) ).

fof(f230,plain,
    ! [VC,Vx,VT] :
      ( vlookup(Vx,VC) != vsomeType(VT)
      | vtcheck(VC,vvar(Vx),VT) ),
    inference(pre_NNF_transformation,[status(esa)],[f51]) ).

fof(f231,plain,
    ! [X0,X1,X2] :
      ( vlookup(X0,X1) != vsomeType(X2)
      | vtcheck(X1,vvar(X0),X2) ),
    inference(cnf_transformation,[status(esa)],[f230]) ).

fof(f237,plain,
    ! [Ve,VT,VC] :
      ( ~ vtcheck(VC,Ve,VT)
      | ? [Vx] :
          ( Ve = vvar(Vx)
          & vlookup(Vx,VC) = vsomeType(VT) )
      | ? [Vx,Ve2,VT1,VT2] :
          ( Ve = vabs(Vx,VT1,Ve2)
          & VT = varrow(VT1,VT2)
          & vtcheck(vbind(Vx,VT1,VC),Ve2,VT2) )
      | ? [Ve1,Ve2,VS] :
          ( Ve = vapp(Ve1,Ve2)
          & vtcheck(VC,Ve1,varrow(VS,VT))
          & vtcheck(VC,Ve2,VS) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f54]) ).

fof(f238,plain,
    ! [Ve,VT,VC] :
      ( pd0_3(VC,VT,Ve)
     => ( ? [Vx] :
            ( Ve = vvar(Vx)
            & vlookup(Vx,VC) = vsomeType(VT) )
        | ? [Vx,Ve2,VT1,VT2] :
            ( Ve = vabs(Vx,VT1,Ve2)
            & VT = varrow(VT1,VT2)
            & vtcheck(vbind(Vx,VT1,VC),Ve2,VT2) ) ) ),
    introduced(predicate_definition,[f237]) ).

fof(f239,plain,
    ! [Ve,VT,VC] :
      ( ~ vtcheck(VC,Ve,VT)
      | pd0_3(VC,VT,Ve)
      | ? [Ve1,Ve2,VS] :
          ( Ve = vapp(Ve1,Ve2)
          & vtcheck(VC,Ve1,varrow(VS,VT))
          & vtcheck(VC,Ve2,VS) ) ),
    inference(formula_renaming,[status(thm)],[f237,f238]) ).

fof(f240,plain,
    ! [Ve,VT,VC] :
      ( ~ vtcheck(VC,Ve,VT)
      | pd0_3(VC,VT,Ve)
      | ? [Ve2,VS] :
          ( ? [Ve1] :
              ( Ve = vapp(Ve1,Ve2)
              & vtcheck(VC,Ve1,varrow(VS,VT)) )
          & vtcheck(VC,Ve2,VS) ) ),
    inference(miniscoping,[status(esa)],[f239]) ).

fof(f241,plain,
    ! [Ve,VT,VC] :
      ( ~ vtcheck(VC,Ve,VT)
      | pd0_3(VC,VT,Ve)
      | ( Ve = vapp(sk0_20(VC,VT,Ve),sk0_18(VC,VT,Ve))
        & vtcheck(VC,sk0_20(VC,VT,Ve),varrow(sk0_19(VC,VT,Ve),VT))
        & vtcheck(VC,sk0_18(VC,VT,Ve),sk0_19(VC,VT,Ve)) ) ),
    inference(skolemization,[status(esa)],[f240]) ).

fof(f242,plain,
    ! [X0,X1,X2] :
      ( ~ vtcheck(X0,X1,X2)
      | pd0_3(X0,X2,X1)
      | X1 = vapp(sk0_20(X0,X2,X1),sk0_18(X0,X2,X1)) ),
    inference(cnf_transformation,[status(esa)],[f241]) ).

fof(f248,plain,
    ? [Vx,VS,VC,Vy,VT] :
      ( ~ visFreeVar(Vx,vvar(Vy))
      & vtcheck(vbind(Vx,VS,VC),vvar(Vy),VT)
      & ~ vtcheck(VC,vvar(Vy),VT) ),
    inference(pre_NNF_transformation,[status(esa)],[f57]) ).

fof(f249,plain,
    ? [VC,Vy,VT] :
      ( ? [Vx] :
          ( ~ visFreeVar(Vx,vvar(Vy))
          & ? [VS] : vtcheck(vbind(Vx,VS,VC),vvar(Vy),VT) )
      & ~ vtcheck(VC,vvar(Vy),VT) ),
    inference(miniscoping,[status(esa)],[f248]) ).

fof(f250,plain,
    ( ~ visFreeVar(sk0_24,vvar(sk0_22))
    & vtcheck(vbind(sk0_24,sk0_25,sk0_21),vvar(sk0_22),sk0_23)
    & ~ vtcheck(sk0_21,vvar(sk0_22),sk0_23) ),
    inference(skolemization,[status(esa)],[f249]) ).

fof(f251,plain,
    ~ visFreeVar(sk0_24,vvar(sk0_22)),
    inference(cnf_transformation,[status(esa)],[f250]) ).

fof(f252,plain,
    vtcheck(vbind(sk0_24,sk0_25,sk0_21),vvar(sk0_22),sk0_23),
    inference(cnf_transformation,[status(esa)],[f250]) ).

fof(f253,plain,
    ~ vtcheck(sk0_21,vvar(sk0_22),sk0_23),
    inference(cnf_transformation,[status(esa)],[f250]) ).

fof(f284,plain,
    ! [Ve,VT,VC] :
      ( ~ pd0_3(VC,VT,Ve)
      | ? [Vx] :
          ( Ve = vvar(Vx)
          & vlookup(Vx,VC) = vsomeType(VT) )
      | ? [Vx,Ve2,VT1,VT2] :
          ( Ve = vabs(Vx,VT1,Ve2)
          & VT = varrow(VT1,VT2)
          & vtcheck(vbind(Vx,VT1,VC),Ve2,VT2) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f238]) ).

fof(f285,plain,
    ! [Ve,VT,VC,Vx] :
      ( pd0_7(Vx,VC,VT,Ve)
     => ( Ve = vvar(Vx)
        & vlookup(Vx,VC) = vsomeType(VT) ) ),
    introduced(predicate_definition,[f284]) ).

fof(f286,plain,
    ! [Ve,VT,VC] :
      ( ~ pd0_3(VC,VT,Ve)
      | ? [Vx] : pd0_7(Vx,VC,VT,Ve)
      | ? [Vx,Ve2,VT1,VT2] :
          ( Ve = vabs(Vx,VT1,Ve2)
          & VT = varrow(VT1,VT2)
          & vtcheck(vbind(Vx,VT1,VC),Ve2,VT2) ) ),
    inference(formula_renaming,[status(thm)],[f284,f285]) ).

fof(f287,plain,
    ! [Ve,VT,VC] :
      ( ~ pd0_3(VC,VT,Ve)
      | pd0_7(sk0_40(VC,VT,Ve),VC,VT,Ve)
      | ( Ve = vabs(sk0_41(VC,VT,Ve),sk0_43(VC,VT,Ve),sk0_42(VC,VT,Ve))
        & VT = varrow(sk0_43(VC,VT,Ve),sk0_44(VC,VT,Ve))
        & vtcheck(vbind(sk0_41(VC,VT,Ve),sk0_43(VC,VT,Ve),VC),sk0_42(VC,VT,Ve),sk0_44(VC,VT,Ve)) ) ),
    inference(skolemization,[status(esa)],[f286]) ).

fof(f288,plain,
    ! [X0,X1,X2] :
      ( ~ pd0_3(X0,X1,X2)
      | pd0_7(sk0_40(X0,X1,X2),X0,X1,X2)
      | X2 = vabs(sk0_41(X0,X1,X2),sk0_43(X0,X1,X2),sk0_42(X0,X1,X2)) ),
    inference(cnf_transformation,[status(esa)],[f287]) ).

fof(f315,plain,
    ! [Ve,VT,VC,Vx] :
      ( ~ pd0_7(Vx,VC,VT,Ve)
      | ( Ve = vvar(Vx)
        & vlookup(Vx,VC) = vsomeType(VT) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f285]) ).

fof(f316,plain,
    ! [X0,X1,X2,X3] :
      ( ~ pd0_7(X0,X1,X2,X3)
      | X3 = vvar(X0) ),
    inference(cnf_transformation,[status(esa)],[f315]) ).

fof(f317,plain,
    ! [X0,X1,X2,X3] :
      ( ~ pd0_7(X0,X1,X2,X3)
      | vlookup(X0,X1) = vsomeType(X2) ),
    inference(cnf_transformation,[status(esa)],[f315]) ).

fof(f374,plain,
    ! [X0] : visFreeVar(X0,vvar(X0)),
    inference(destructive_equality_resolution,[status(esa)],[f86]) ).

fof(f387,plain,
    ! [X0,X1,X2,X3] :
      ( X0 = X1
      | vlookup(X0,vbind(X1,X2,X3)) = vlookup(X0,X3) ),
    inference(destructive_equality_resolution,[status(esa)],[f131]) ).

fof(f528,plain,
    ( spl0_1
  <=> sk0_22 = sk0_24 ),
    introduced(split_symbol_definition) ).

fof(f529,plain,
    ( sk0_22 = sk0_24
    | ~ spl0_1 ),
    inference(component_clause,[status(thm)],[f528]) ).

fof(f897,plain,
    ( ~ visFreeVar(sk0_22,vvar(sk0_22))
    | ~ spl0_1 ),
    inference(backward_demodulation,[status(thm)],[f529,f251]) ).

fof(f898,plain,
    ( $false
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f897,f374]) ).

fof(f899,plain,
    ~ spl0_1,
    inference(contradiction_clause,[status(thm)],[f898]) ).

fof(f925,plain,
    ( spl0_9
  <=> pd0_3(vbind(sk0_24,sk0_25,sk0_21),sk0_23,vvar(sk0_22)) ),
    introduced(split_symbol_definition) ).

fof(f926,plain,
    ( pd0_3(vbind(sk0_24,sk0_25,sk0_21),sk0_23,vvar(sk0_22))
    | ~ spl0_9 ),
    inference(component_clause,[status(thm)],[f925]) ).

fof(f928,plain,
    ( spl0_10
  <=> vvar(sk0_22) = vapp(sk0_20(vbind(sk0_24,sk0_25,sk0_21),sk0_23,vvar(sk0_22)),sk0_18(vbind(sk0_24,sk0_25,sk0_21),sk0_23,vvar(sk0_22))) ),
    introduced(split_symbol_definition) ).

fof(f929,plain,
    ( vvar(sk0_22) = vapp(sk0_20(vbind(sk0_24,sk0_25,sk0_21),sk0_23,vvar(sk0_22)),sk0_18(vbind(sk0_24,sk0_25,sk0_21),sk0_23,vvar(sk0_22)))
    | ~ spl0_10 ),
    inference(component_clause,[status(thm)],[f928]) ).

fof(f931,plain,
    ( pd0_3(vbind(sk0_24,sk0_25,sk0_21),sk0_23,vvar(sk0_22))
    | vvar(sk0_22) = vapp(sk0_20(vbind(sk0_24,sk0_25,sk0_21),sk0_23,vvar(sk0_22)),sk0_18(vbind(sk0_24,sk0_25,sk0_21),sk0_23,vvar(sk0_22))) ),
    inference(resolution,[status(thm)],[f242,f252]) ).

fof(f932,plain,
    ( spl0_9
    | spl0_10 ),
    inference(split_clause,[status(thm)],[f931,f925,f928]) ).

fof(f1008,plain,
    ( spl0_11
  <=> pd0_7(sk0_40(vbind(sk0_24,sk0_25,sk0_21),sk0_23,vvar(sk0_22)),vbind(sk0_24,sk0_25,sk0_21),sk0_23,vvar(sk0_22)) ),
    introduced(split_symbol_definition) ).

fof(f1009,plain,
    ( pd0_7(sk0_40(vbind(sk0_24,sk0_25,sk0_21),sk0_23,vvar(sk0_22)),vbind(sk0_24,sk0_25,sk0_21),sk0_23,vvar(sk0_22))
    | ~ spl0_11 ),
    inference(component_clause,[status(thm)],[f1008]) ).

fof(f1011,plain,
    ( spl0_12
  <=> vvar(sk0_22) = vabs(sk0_41(vbind(sk0_24,sk0_25,sk0_21),sk0_23,vvar(sk0_22)),sk0_43(vbind(sk0_24,sk0_25,sk0_21),sk0_23,vvar(sk0_22)),sk0_42(vbind(sk0_24,sk0_25,sk0_21),sk0_23,vvar(sk0_22))) ),
    introduced(split_symbol_definition) ).

fof(f1012,plain,
    ( vvar(sk0_22) = vabs(sk0_41(vbind(sk0_24,sk0_25,sk0_21),sk0_23,vvar(sk0_22)),sk0_43(vbind(sk0_24,sk0_25,sk0_21),sk0_23,vvar(sk0_22)),sk0_42(vbind(sk0_24,sk0_25,sk0_21),sk0_23,vvar(sk0_22)))
    | ~ spl0_12 ),
    inference(component_clause,[status(thm)],[f1011]) ).

fof(f1014,plain,
    ( pd0_7(sk0_40(vbind(sk0_24,sk0_25,sk0_21),sk0_23,vvar(sk0_22)),vbind(sk0_24,sk0_25,sk0_21),sk0_23,vvar(sk0_22))
    | vvar(sk0_22) = vabs(sk0_41(vbind(sk0_24,sk0_25,sk0_21),sk0_23,vvar(sk0_22)),sk0_43(vbind(sk0_24,sk0_25,sk0_21),sk0_23,vvar(sk0_22)),sk0_42(vbind(sk0_24,sk0_25,sk0_21),sk0_23,vvar(sk0_22)))
    | ~ spl0_9 ),
    inference(resolution,[status(thm)],[f926,f288]) ).

fof(f1015,plain,
    ( spl0_11
    | spl0_12
    | ~ spl0_9 ),
    inference(split_clause,[status(thm)],[f1014,f1008,f1011,f925]) ).

fof(f1016,plain,
    ( $false
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[status(thm)],[f929,f74]) ).

fof(f1017,plain,
    ~ spl0_10,
    inference(contradiction_clause,[status(thm)],[f1016]) ).

fof(f1055,plain,
    ( vvar(sk0_22) = vvar(sk0_40(vbind(sk0_24,sk0_25,sk0_21),sk0_23,vvar(sk0_22)))
    | ~ spl0_11 ),
    inference(resolution,[status(thm)],[f1009,f316]) ).

fof(f1056,plain,
    ( sk0_22 = sk0_40(vbind(sk0_24,sk0_25,sk0_21),sk0_23,vvar(sk0_22))
    | ~ spl0_11 ),
    inference(resolution,[status(thm)],[f1055,f60]) ).

fof(f1129,plain,
    ( pd0_7(sk0_22,vbind(sk0_24,sk0_25,sk0_21),sk0_23,vvar(sk0_22))
    | ~ spl0_11 ),
    inference(backward_demodulation,[status(thm)],[f1056,f1009]) ).

fof(f1130,plain,
    ( vlookup(sk0_22,vbind(sk0_24,sk0_25,sk0_21)) = vsomeType(sk0_23)
    | ~ spl0_11 ),
    inference(resolution,[status(thm)],[f1129,f317]) ).

fof(f1131,plain,
    ( spl0_18
  <=> vlookup(sk0_22,sk0_21) = vsomeType(sk0_23) ),
    introduced(split_symbol_definition) ).

fof(f1132,plain,
    ( vlookup(sk0_22,sk0_21) = vsomeType(sk0_23)
    | ~ spl0_18 ),
    inference(component_clause,[status(thm)],[f1131]) ).

fof(f1134,plain,
    ( vlookup(sk0_22,sk0_21) = vsomeType(sk0_23)
    | sk0_22 = sk0_24
    | ~ spl0_11 ),
    inference(paramodulation,[status(thm)],[f387,f1130]) ).

fof(f1135,plain,
    ( spl0_18
    | spl0_1
    | ~ spl0_11 ),
    inference(split_clause,[status(thm)],[f1134,f1131,f528,f1008]) ).

fof(f1624,plain,
    ( vtcheck(sk0_21,vvar(sk0_22),sk0_23)
    | ~ spl0_18 ),
    inference(resolution,[status(thm)],[f231,f1132]) ).

fof(f1625,plain,
    ( $false
    | ~ spl0_18 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1624,f253]) ).

fof(f1626,plain,
    ~ spl0_18,
    inference(contradiction_clause,[status(thm)],[f1625]) ).

fof(f1631,plain,
    ( $false
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1012,f73]) ).

fof(f1632,plain,
    ~ spl0_12,
    inference(contradiction_clause,[status(thm)],[f1631]) ).

fof(f1633,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f899,f932,f1015,f1017,f1135,f1626,f1632]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : COM138+1 : TPTP v8.1.2. Released v6.4.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n004.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue May 30 11:44:22 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.36  % Drodi V3.5.1
% 2.35/0.72  % Refutation found
% 2.35/0.72  % SZS status Theorem for theBenchmark: Theorem is valid
% 2.35/0.72  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.84/0.74  % Elapsed time: 0.389983 seconds
% 2.84/0.74  % CPU time: 2.904690 seconds
% 2.84/0.74  % Memory used: 98.684 MB
%------------------------------------------------------------------------------