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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SWW102+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n019.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 03:07:22 PM UTC 2026

% Result   : Theorem 0.13s 0.52s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   34
%            Number of leaves      :   22
% Syntax   : Number of formulae    :  142 (  62 unt;   2 def)
%            Number of atoms       :  287 ( 189 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  219 (  74   ~;  95   |;  39   &)
%                                         (   7 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   7 con; 0-2 aty)
%            Number of variables   :   91 (  87   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X] :
      ( bool(X)
    <=> ( X = true
        | X = false ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ( false != err
    & true != err
    & true != false ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ( d(err)
    & d(false)
    & d(true) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [X,Y] :
      ( forallprefers(X,Y)
    <=> ( ( Y = true
          & X = false )
        | ( bool(Y)
          & ~ bool(X)
          & d(Y)
          & d(X) )
        | ( d(Y)
          & ~ d(X) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [X] :
      ( ( phi(X) = err
        & ~ d(X) )
      | ( phi(X) = X
        & d(X) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [X] :
      ( prop(X) = true
    <=> bool(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [X] :
      ( prop(X) = false
    <=> ~ bool(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ! [A,B] :
      ( ~ bool(A)
     => impl(A,B) = phi(A) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    ! [B] :
      ( bool(B)
     => impl(false,B) = true ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    ! [B] :
      ( bool(B)
     => impl(true,B) = B ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f14,axiom,
    ! [B] : lazy_impl(false,B) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f15,axiom,
    ! [B] : lazy_impl(true,B) = phi(B),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f38,axiom,
    false1 = false,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f39,axiom,
    ! [P] : f7(P) = lazy_impl(prop(P),P),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f40,axiom,
    ? [P] :
      ( ~ ? [P1] : forallprefers(f7(P1),f7(P))
      & false2 = phi(f7(P)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f41,axiom,
    ! [A] :
      ( ~ bool(A)
     => not1(A) = phi(A) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f42,axiom,
    not1(false) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f43,axiom,
    not1(true) = false,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f44,axiom,
    ! [P] : not2(P) = impl(P,false2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f45,conjecture,
    ! [P] : not1(P) = not2(P),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f46,negated_conjecture,
    ~ ! [P] : not1(P) = not2(P),
    inference(negated_conjecture,[status(cth)],[f45]) ).

fof(f47,plain,
    ! [X] :
      ( ( ( X != true
          & X != false )
        | bool(X) )
      & ( X = true
        | X = false
        | ~ bool(X) ) ),
    inference(NNF_transformation,[status(thm)],[f1]) ).

fof(f48,plain,
    ( ! [X] :
        ( ( X != true
          & X != false )
        | bool(X) )
    & ! [X] :
        ( X = true
        | X = false
        | ~ bool(X) ) ),
    inference(miniscoping,[status(thm)],[f47]) ).

fof(f49,plain,
    ! [X0] :
      ( X0 = true
      | X0 = false
      | ~ bool(X0) ),
    inference(cnf_transformation,[status(thm)],[f48]) ).

fof(f50,plain,
    ! [X0] :
      ( X0 != false
      | bool(X0) ),
    inference(cnf_transformation,[status(thm)],[f48]) ).

fof(f52,plain,
    true != false,
    inference(cnf_transformation,[status(thm)],[f2]) ).

fof(f55,plain,
    d(true),
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f56,plain,
    d(false),
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f58,definition,
    ! [X,Y] :
      ( sP0_prd(Y,X)
    <=> ( ( bool(Y)
          & ~ bool(X)
          & d(Y)
          & d(X) )
        | ( d(Y)
          & ~ d(X) ) ) ),
    introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).

fof(f59,plain,
    ! [X,Y] :
      ( forallprefers(X,Y)
    <=> ( ( Y = true
          & X = false )
        | sP0_prd(Y,X) ) ),
    inference(formula_renaming,[status(thm)],[f4,f58]) ).

fof(f60,plain,
    ! [X,Y] :
      ( ( ( ( Y != true
            | X != false )
          & ~ sP0_prd(Y,X) )
        | forallprefers(X,Y) )
      & ( ( Y = true
          & X = false )
        | sP0_prd(Y,X)
        | ~ forallprefers(X,Y) ) ),
    inference(NNF_transformation,[status(thm)],[f59]) ).

fof(f61,plain,
    ( ! [X,Y] :
        ( ( ( Y != true
            | X != false )
          & ~ sP0_prd(Y,X) )
        | forallprefers(X,Y) )
    & ! [X,Y] :
        ( ( Y = true
          & X = false )
        | sP0_prd(Y,X)
        | ~ forallprefers(X,Y) ) ),
    inference(miniscoping,[status(thm)],[f60]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( X1 != true
      | X0 != false
      | forallprefers(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f61]) ).

fof(f74,definition,
    ! [X] :
      ( sP2_prd(X)
    <=> ( phi(X) = X
        & d(X) ) ),
    introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).

fof(f75,plain,
    ! [X] :
      ( ( phi(X) = err
        & ~ d(X) )
      | sP2_prd(X) ),
    inference(formula_renaming,[status(thm)],[f6,f74]) ).

fof(f76,plain,
    ! [X0] :
      ( ~ d(X0)
      | sP2_prd(X0) ),
    inference(cnf_transformation,[status(thm)],[f75]) ).

fof(f78,plain,
    ! [X] :
      ( ( ~ bool(X)
        | prop(X) = true )
      & ( bool(X)
        | prop(X) != true ) ),
    inference(NNF_transformation,[status(thm)],[f7]) ).

fof(f79,plain,
    ( ! [X] :
        ( ~ bool(X)
        | prop(X) = true )
    & ! [X] :
        ( bool(X)
        | prop(X) != true ) ),
    inference(miniscoping,[status(thm)],[f78]) ).

fof(f81,plain,
    ! [X0] :
      ( ~ bool(X0)
      | prop(X0) = true ),
    inference(cnf_transformation,[status(thm)],[f79]) ).

fof(f82,plain,
    ! [X] :
      ( ( bool(X)
        | prop(X) = false )
      & ( ~ bool(X)
        | prop(X) != false ) ),
    inference(NNF_transformation,[status(thm)],[f8]) ).

fof(f83,plain,
    ( ! [X] :
        ( bool(X)
        | prop(X) = false )
    & ! [X] :
        ( ~ bool(X)
        | prop(X) != false ) ),
    inference(miniscoping,[status(thm)],[f82]) ).

fof(f85,plain,
    ! [X0] :
      ( bool(X0)
      | prop(X0) = false ),
    inference(cnf_transformation,[status(thm)],[f83]) ).

fof(f86,plain,
    ! [A,B] :
      ( impl(A,B) = phi(A)
      | bool(A) ),
    inference(pre_NNF_transformation,[status(thm)],[f9]) ).

fof(f87,plain,
    ! [A] :
      ( ! [B] : impl(A,B) = phi(A)
      | bool(A) ),
    inference(miniscoping,[status(thm)],[f86]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( impl(X0,X1) = phi(X0)
      | bool(X0) ),
    inference(cnf_transformation,[status(thm)],[f87]) ).

fof(f91,plain,
    ! [B] :
      ( impl(false,B) = true
      | ~ bool(B) ),
    inference(pre_NNF_transformation,[status(thm)],[f11]) ).

fof(f92,plain,
    ! [X0] :
      ( impl(false,X0) = true
      | ~ bool(X0) ),
    inference(cnf_transformation,[status(thm)],[f91]) ).

fof(f93,plain,
    ! [B] :
      ( impl(true,B) = B
      | ~ bool(B) ),
    inference(pre_NNF_transformation,[status(thm)],[f12]) ).

fof(f94,plain,
    ! [X0] :
      ( impl(true,X0) = X0
      | ~ bool(X0) ),
    inference(cnf_transformation,[status(thm)],[f93]) ).

fof(f98,plain,
    ! [X0] : lazy_impl(false,X0) = true,
    inference(cnf_transformation,[status(thm)],[f14]) ).

fof(f99,plain,
    ! [X0] : lazy_impl(true,X0) = phi(X0),
    inference(cnf_transformation,[status(thm)],[f15]) ).

fof(f152,plain,
    false1 = false,
    inference(cnf_transformation,[status(thm)],[f38]) ).

fof(f153,plain,
    ! [X0] : f7(X0) = lazy_impl(prop(X0),X0),
    inference(cnf_transformation,[status(thm)],[f39]) ).

fof(f154,plain,
    ? [P] :
      ( ! [P1] : ~ forallprefers(f7(P1),f7(P))
      & false2 = phi(f7(P)) ),
    inference(pre_NNF_transformation,[status(thm)],[f40]) ).

fof(f155,plain,
    ( ! [P1] : ~ forallprefers(f7(P1),f7(sK6_skl))
    & false2 = phi(f7(sK6_skl)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(P,sK6_skl)],[f154]) ).

fof(f156,plain,
    false2 = phi(f7(sK6_skl)),
    inference(cnf_transformation,[status(thm)],[f155]) ).

fof(f157,plain,
    ! [X0] : ~ forallprefers(f7(X0),f7(sK6_skl)),
    inference(cnf_transformation,[status(thm)],[f155]) ).

fof(f158,plain,
    ! [A] :
      ( not1(A) = phi(A)
      | bool(A) ),
    inference(pre_NNF_transformation,[status(thm)],[f41]) ).

fof(f159,plain,
    ! [X0] :
      ( not1(X0) = phi(X0)
      | bool(X0) ),
    inference(cnf_transformation,[status(thm)],[f158]) ).

fof(f160,plain,
    not1(false) = true,
    inference(cnf_transformation,[status(thm)],[f42]) ).

fof(f161,plain,
    not1(true) = false,
    inference(cnf_transformation,[status(thm)],[f43]) ).

fof(f162,plain,
    ! [X0] : not2(X0) = impl(X0,false2),
    inference(cnf_transformation,[status(thm)],[f44]) ).

fof(f163,plain,
    ? [P] : not1(P) != not2(P),
    inference(pre_NNF_transformation,[status(thm)],[f46]) ).

fof(f164,plain,
    not1(sK7_skl) != not2(sK7_skl),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl]),skolemize(P,sK7_skl)],[f163]) ).

fof(f165,plain,
    not1(sK7_skl) != not2(sK7_skl),
    inference(cnf_transformation,[status(thm)],[f164]) ).

fof(f186,plain,
    ! [X] :
      ( ( phi(X) != X
        | ~ d(X)
        | sP2_prd(X) )
      & ( ( phi(X) = X
          & d(X) )
        | ~ sP2_prd(X) ) ),
    inference(NNF_transformation,[status(thm)],[f74]) ).

fof(f187,plain,
    ( ! [X] :
        ( phi(X) != X
        | ~ d(X)
        | sP2_prd(X) )
    & ! [X] :
        ( ( phi(X) = X
          & d(X) )
        | ~ sP2_prd(X) ) ),
    inference(miniscoping,[status(thm)],[f186]) ).

fof(f189,plain,
    ! [X0] :
      ( phi(X0) = X0
      | ~ sP2_prd(X0) ),
    inference(cnf_transformation,[status(thm)],[f187]) ).

fof(f201,plain,
    bool(false),
    inference(destructive_equality_resolution,[status(thm)],[f50]) ).

fof(f203,plain,
    forallprefers(false,true),
    inference(destructive_equality_resolution,[status(thm)],[f65]) ).

fof(f209,plain,
    d(false1),
    inference(backward_demodulation,[status(thm)],[f152,f56]) ).

fof(f211,plain,
    true != false1,
    inference(backward_demodulation,[status(thm)],[f152,f52]) ).

fof(f213,plain,
    ! [X0] :
      ( X0 = true
      | X0 = false1
      | ~ bool(X0) ),
    inference(backward_demodulation,[status(thm)],[f152,f49]) ).

fof(f214,plain,
    bool(false1),
    inference(backward_demodulation,[status(thm)],[f152,f201]) ).

fof(f215,plain,
    not1(true) = false1,
    inference(backward_demodulation,[status(thm)],[f152,f161]) ).

fof(f216,plain,
    not1(false1) = true,
    inference(backward_demodulation,[status(thm)],[f152,f160]) ).

fof(f217,plain,
    forallprefers(false1,true),
    inference(forward_demodulation,[status(thm)],[f152,f203]) ).

fof(f221,plain,
    ! [X0] : lazy_impl(false1,X0) = true,
    inference(forward_demodulation,[status(thm)],[f152,f98]) ).

fof(f227,plain,
    ! [X0] :
      ( ~ d(X0)
      | phi(X0) = X0 ),
    inference(resolution,[status(thm)],[f189,f76]) ).

fof(f228,plain,
    phi(false1) = false1,
    inference(resolution,[status(thm)],[f227,f209]) ).

fof(f234,plain,
    prop(false1) = true,
    inference(resolution,[status(thm)],[f81,f214]) ).

fof(f237,plain,
    ! [X0] :
      ( not1(X0) = phi(X0)
      | prop(X0) = true ),
    inference(resolution,[status(thm)],[f81,f159]) ).

fof(f269,plain,
    ! [X0] :
      ( bool(X0)
      | prop(X0) = false1 ),
    inference(forward_demodulation,[status(thm)],[f152,f85]) ).

fof(f271,plain,
    ! [X0] :
      ( prop(X0) = true
      | prop(X0) = false1 ),
    inference(resolution,[status(thm)],[f269,f81]) ).

fof(f273,plain,
    ! [X0,X1] :
      ( prop(X0) = true
      | impl(X0,X1) = phi(X0) ),
    inference(resolution,[status(thm)],[f88,f81]) ).

fof(f285,plain,
    ! [X0] :
      ( impl(false1,X0) = true
      | ~ bool(X0) ),
    inference(forward_demodulation,[status(thm)],[f152,f92]) ).

fof(f292,plain,
    ! [X0] :
      ( not1(X0) = phi(X0)
      | impl(false1,X0) = true ),
    inference(resolution,[status(thm)],[f285,f159]) ).

fof(f297,plain,
    ! [X0] :
      ( prop(X0) = false1
      | impl(true,X0) = X0 ),
    inference(resolution,[status(thm)],[f94,f269]) ).

fof(f488,plain,
    f7(false1) = lazy_impl(true,false1),
    inference(paramodulation,[status(thm)],[f234,f153]) ).

fof(f491,plain,
    f7(false1) = phi(false1),
    inference(forward_demodulation,[status(thm)],[f99,f488]) ).

fof(f492,plain,
    f7(false1) = false1,
    inference(forward_demodulation,[status(thm)],[f228,f491]) ).

fof(f493,plain,
    ~ forallprefers(false1,f7(sK6_skl)),
    inference(paramodulation,[status(thm)],[f492,f157]) ).

fof(f585,plain,
    ! [X0] :
      ( prop(X0) = false1
      | X0 = true
      | X0 = false1 ),
    inference(resolution,[status(thm)],[f213,f269]) ).

fof(f785,plain,
    ! [X0] :
      ( prop(X0) = true
      | f7(X0) = lazy_impl(false1,X0) ),
    inference(paramodulation,[status(thm)],[f271,f153]) ).

fof(f795,plain,
    ! [X0] :
      ( prop(X0) = true
      | f7(X0) = true ),
    inference(forward_demodulation,[status(thm)],[f221,f785]) ).

fof(f844,plain,
    ( prop(sK6_skl) = true
    | ~ forallprefers(false1,true) ),
    inference(paramodulation,[status(thm)],[f795,f493]) ).

fof(f852,plain,
    prop(sK6_skl) = true,
    inference(forward_subsumption_resolution,[status(thm)],[f844,f217]) ).

fof(f862,plain,
    f7(sK6_skl) = lazy_impl(true,sK6_skl),
    inference(paramodulation,[status(thm)],[f852,f153]) ).

fof(f869,plain,
    f7(sK6_skl) = phi(sK6_skl),
    inference(forward_demodulation,[status(thm)],[f99,f862]) ).

fof(f1242,plain,
    ( true = false1
    | impl(true,sK6_skl) = sK6_skl ),
    inference(paramodulation,[status(thm)],[f852,f297]) ).

fof(f1264,plain,
    impl(true,sK6_skl) = sK6_skl,
    inference(forward_subsumption_resolution,[status(thm)],[f1242,f211]) ).

fof(f1374,plain,
    ! [X0] :
      ( prop(X0) = true
      | not2(X0) = phi(X0) ),
    inference(paramodulation,[status(thm)],[f162,f273]) ).

fof(f1445,plain,
    ! [X0] :
      ( prop(X0) = true
      | prop(X0) = true
      | not2(X0) = not1(X0) ),
    inference(paramodulation,[status(thm)],[f237,f1374]) ).

fof(f1468,plain,
    ! [X0] :
      ( prop(X0) = true
      | not2(X0) = not1(X0) ),
    inference(duplicate_literals_removal,[status(thm)],[f1445]) ).

fof(f1471,plain,
    prop(sK7_skl) = true,
    inference(resolution,[status(thm)],[f1468,f165]) ).

fof(f1845,plain,
    ( true = false1
    | sK7_skl = true
    | sK7_skl = false1 ),
    inference(paramodulation,[status(thm)],[f1471,f585]) ).

fof(f1846,plain,
    ( true = false1
    | sK6_skl = true
    | sK6_skl = false1 ),
    inference(paramodulation,[status(thm)],[f852,f585]) ).

fof(f1879,plain,
    ( sK7_skl = true
    | sK7_skl = false1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1845,f211]) ).

fof(f1880,plain,
    ( sK6_skl = true
    | sK6_skl = false1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1846,f211]) ).

fof(f1947,plain,
    ( sK7_skl = true
    | not1(sK7_skl) = true ),
    inference(paramodulation,[status(thm)],[f1879,f216]) ).

fof(f1998,plain,
    ( sK6_skl = false1
    | forallprefers(false1,sK6_skl) ),
    inference(paramodulation,[status(thm)],[f1880,f217]) ).

fof(f2001,plain,
    ( sK6_skl = false1
    | d(sK6_skl) ),
    inference(paramodulation,[status(thm)],[f1880,f55]) ).

fof(f2235,plain,
    ( phi(sK6_skl) = sK6_skl
    | sK6_skl = false1 ),
    inference(resolution,[status(thm)],[f2001,f227]) ).

fof(f2236,plain,
    ( f7(sK6_skl) = sK6_skl
    | sK6_skl = false1 ),
    inference(forward_demodulation,[status(thm)],[f869,f2235]) ).

fof(f2260,plain,
    ( sK7_skl = true
    | true != not2(sK7_skl) ),
    inference(paramodulation,[status(thm)],[f1947,f165]) ).

fof(f2525,plain,
    ( sK6_skl = false1
    | ~ forallprefers(false1,sK6_skl) ),
    inference(paramodulation,[status(thm)],[f2236,f493]) ).

fof(f2535,plain,
    sK6_skl = false1,
    inference(forward_subsumption_resolution,[status(thm)],[f2525,f1998]) ).

fof(f2555,plain,
    ( sK7_skl = true
    | sK7_skl = sK6_skl ),
    inference(backward_demodulation,[status(thm)],[f2535,f1879]) ).

fof(f2593,plain,
    f7(false1) = sK6_skl,
    inference(backward_demodulation,[status(thm)],[f2535,f492]) ).

fof(f2610,plain,
    ! [X0] :
      ( not1(X0) = phi(X0)
      | impl(sK6_skl,X0) = true ),
    inference(backward_demodulation,[status(thm)],[f2535,f292]) ).

fof(f2623,plain,
    true != sK6_skl,
    inference(backward_demodulation,[status(thm)],[f2535,f211]) ).

fof(f2627,plain,
    not1(sK6_skl) = true,
    inference(backward_demodulation,[status(thm)],[f2535,f216]) ).

fof(f2628,plain,
    not1(true) = sK6_skl,
    inference(backward_demodulation,[status(thm)],[f2535,f215]) ).

fof(f2640,plain,
    f7(sK6_skl) = sK6_skl,
    inference(forward_demodulation,[status(thm)],[f2535,f2593]) ).

fof(f2692,plain,
    ( sK7_skl = true
    | sK7_skl = true
    | true != not2(sK6_skl) ),
    inference(paramodulation,[status(thm)],[f2555,f2260]) ).

fof(f2709,plain,
    ( sK7_skl = true
    | true != not2(sK6_skl) ),
    inference(duplicate_literals_removal,[status(thm)],[f2692]) ).

fof(f2795,plain,
    sK6_skl = phi(sK6_skl),
    inference(backward_demodulation,[status(thm)],[f2640,f869]) ).

fof(f2802,plain,
    false2 = phi(sK6_skl),
    inference(backward_demodulation,[status(thm)],[f2640,f156]) ).

fof(f2952,plain,
    ! [X0] : not2(X0) = impl(X0,sK6_skl),
    inference(backward_demodulation,[status(thm)],[f2953,f162]) ).

fof(f2953,plain,
    false2 = sK6_skl,
    inference(forward_demodulation,[status(thm)],[f2795,f2802]) ).

fof(f3044,plain,
    not2(true) = sK6_skl,
    inference(backward_demodulation,[status(thm)],[f2952,f1264]) ).

fof(f3045,plain,
    ( not1(sK6_skl) = phi(sK6_skl)
    | not2(sK6_skl) = true ),
    inference(paramodulation,[status(thm)],[f2610,f2952]) ).

fof(f3061,plain,
    ( true = phi(sK6_skl)
    | not2(sK6_skl) = true ),
    inference(forward_demodulation,[status(thm)],[f2627,f3045]) ).

fof(f3062,plain,
    ( true = sK6_skl
    | not2(sK6_skl) = true ),
    inference(forward_demodulation,[status(thm)],[f2795,f3061]) ).

fof(f3063,plain,
    not2(sK6_skl) = true,
    inference(forward_subsumption_resolution,[status(thm)],[f3062,f2623]) ).

fof(f3133,plain,
    ( sK7_skl = true
    | true != true ),
    inference(backward_demodulation,[status(thm)],[f3063,f2709]) ).

fof(f3134,plain,
    sK7_skl = true,
    inference(trivial_equality_resolution,[status(thm)],[f3133]) ).

fof(f3136,plain,
    not2(sK7_skl) = sK6_skl,
    inference(backward_demodulation,[status(thm)],[f3134,f3044]) ).

fof(f3151,plain,
    not1(sK7_skl) = sK6_skl,
    inference(backward_demodulation,[status(thm)],[f3134,f2628]) ).

fof(f3262,plain,
    not1(sK7_skl) != sK6_skl,
    inference(backward_demodulation,[status(thm)],[f3136,f165]) ).

fof(f3329,plain,
    sK6_skl != sK6_skl,
    inference(forward_demodulation,[status(thm)],[f3151,f3262]) ).

fof(f3330,plain,
    $false,
    inference(trivial_equality_resolution,[status(thm)],[f3329]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWW102+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.33  % Computer : n019.cluster.edu
% 0.07/0.33  % Model    : x86_64 x86_64
% 0.07/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.33  % Memory   : 8046.5625MB
% 0.07/0.33  % OS       : Linux 6.8.0-71-generic
% 0.07/0.34  % CPULimit : 300
% 0.07/0.34  % WCLimit  : 300
% 0.07/0.34  % DateTime : Mon Sep 21 09:39:19 UTC 2026
% 0.07/0.34  % CPUTime  : 
% 0.07/0.35  % Drodi V4.1.1
% 0.13/0.52  % Refutation found
% 0.13/0.52  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.52  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.74/0.54  % Elapsed time: 0.182317 seconds
% 0.74/0.54  % CPU time: 1.137859 seconds
% 0.74/0.54  % Total memory used: 130.230 MB
% 0.74/0.54  % Net memory used: 128.735 MB
%------------------------------------------------------------------------------