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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWC186-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n007.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 : Tue Sep 29 01:02:51 PM UTC 2026

% Result   : Unsatisfiable 12.24s 2.66s
% Output   : Refutation 13.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   32
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   99 (  28 unt;   3 def)
%            Number of atoms       :  419 (  29 equ)
%            Maximal formula atoms :   11 (   4 avg)
%            Number of connectives :  642 ( 322   ~; 320   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   7 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   9 con; 0-2 aty)
%            Number of variables   :  155 ( 155   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).

fof(f52,axiom,
    ! [X0,X1] : ssList(skaf43(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

fof(f53,axiom,
    ! [X0,X1] : ssList(skaf42(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).

fof(f85,axiom,
    ! [X0,X1] :
      ( ssList(app(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

fof(f86,axiom,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f114,axiom,
    ! [X0,X1] :
      ( X0 != X1
      | ~ lt(X0,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

fof(f125,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | app(cons(X0,nil),X1) = cons(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f126,plain,
    ! [X0,X1] :
      ( cons(X0,X1) = app(cons(X0,nil),X1)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(reorient_equations,[],[f125]) ).

fof(f151,axiom,
    ! [X2,X0,X1] :
      ( memberP(app(X0,X2),X1)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssItem(X1)
      | ~ memberP(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).

fof(f161,axiom,
    ! [X2,X0,X1] :
      ( app(app(X2,X1),X0) = app(X2,app(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).

fof(f182,axiom,
    ! [X0,X1] :
      ( app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | ~ memberP(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).

fof(f189,axiom,
    ! [X2,X3,X0,X1] :
      ( app(X0,cons(X1,X2)) != X3
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssItem(X1)
      | ~ ssList(X3)
      | memberP(X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).

fof(f195,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5
      | ~ ssList(X4)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssItem(X3)
      | ~ ssItem(X1)
      | ~ strictorderedP(X5)
      | ~ ssList(X5)
      | lt(X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).

fof(f205,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

fof(f207,negated_conjecture,
    strictorderedP(sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f209,negated_conjecture,
    ssItem(sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f210,negated_conjecture,
    ssList(sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

fof(f211,negated_conjecture,
    ssList(sk7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

fof(f212,negated_conjecture,
    app(app(sk6,cons(sk5,nil)),sk7) = sk1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).

fof(f213,plain,
    sk1 = app(app(sk6,cons(sk5,nil)),sk7),
    inference(reorient_equations,[],[f212]) ).

fof(f214,negated_conjecture,
    ( memberP(sk7,sk5)
    | memberP(sk6,sk5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).

fof(f217,plain,
    sk3 = app(app(sk6,cons(sk5,nil)),sk7),
    inference(definition_unfolding,[],[f213,f205]) ).

fof(f221,plain,
    ! [X1] :
      ( ~ lt(X1,X1)
      | ~ ssItem(X1)
      | ~ ssItem(X1) ),
    inference(equality_resolution,[],[f114]) ).

fof(f233,plain,
    ! [X2,X0,X1] :
      ( memberP(app(X0,cons(X1,X2)),X1)
      | ~ ssList(X0)
      | ~ ssItem(X1)
      | ~ ssList(app(X0,cons(X1,X2)))
      | ~ ssList(X2) ),
    inference(equality_resolution,[],[f189]) ).

fof(f237,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssItem(X3)
      | ~ ssItem(X1)
      | ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
      | ~ ssList(X4)
      | lt(X1,X3) ),
    inference(equality_resolution,[],[f195]) ).

fof(f242,definition,
    sF0 = cons(sk5,nil),
    introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).

fof(f243,plain,
    cons(sk5,nil) = sF0,
    inference(reorient_equations,[],[f242]) ).

fof(f244,definition,
    sF1 = app(sk6,sF0),
    introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).

fof(f245,plain,
    app(sk6,sF0) = sF1,
    inference(reorient_equations,[],[f244]) ).

fof(f246,definition,
    sF2 = app(sF1,sk7),
    introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).

fof(f247,plain,
    app(sF1,sk7) = sF2,
    inference(reorient_equations,[],[f246]) ).

fof(f248,plain,
    sk3 = sF2,
    inference(definition_folding,[],[f217,f247,f245,f243]) ).

fof(f254,plain,
    ! [X1] :
      ( ~ lt(X1,X1)
      | ~ ssItem(X1) ),
    inference(duplicate_literal_removal,[],[f221]) ).

fof(f255,plain,
    sk3 = app(sF1,sk7),
    inference(forward_demodulation,[],[f247,f248]) ).

fof(f264,plain,
    ! [X0] :
      ( cons(sk5,X0) = app(sF0,X0)
      | ~ ssList(X0)
      | ~ ssItem(sk5) ),
    inference(superposition,[],[f126,f243]) ).

fof(f267,plain,
    ! [X0] :
      ( cons(sk5,X0) = app(sF0,X0)
      | ~ ssList(X0) ),
    inference(forward_subsumption_resolution,[],[f264,f209]) ).

fof(f270,plain,
    ( ssList(sF1)
    | ~ ssList(sk6)
    | ~ ssList(sF0) ),
    inference(superposition,[],[f85,f245]) ).

fof(f273,plain,
    ( ~ ssList(sF0)
    | ssList(sF1) ),
    inference(forward_subsumption_resolution,[],[f270,f210]) ).

fof(f275,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(app(X0,cons(X2,X3)))
      | ~ ssList(skaf43(X1,X0))
      | ~ ssList(skaf42(X0,X1))
      | ~ ssItem(X2)
      | ~ ssItem(X1)
      | ~ strictorderedP(app(app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))),cons(X2,X3)))
      | ~ ssList(X3)
      | lt(X1,X2)
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | ~ memberP(X0,X1) ),
    inference(superposition,[],[f237,f182]) ).

fof(f277,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(app(X0,cons(X2,X3)))
      | ~ ssList(skaf43(X1,X0))
      | ~ ssList(skaf42(X0,X1))
      | ~ ssItem(X2)
      | ~ ssItem(X1)
      | ~ strictorderedP(app(app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))),cons(X2,X3)))
      | ~ ssList(X3)
      | lt(X1,X2)
      | ~ ssList(X0)
      | ~ memberP(X0,X1) ),
    inference(duplicate_literal_removal,[],[f275]) ).

fof(f278,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(app(X0,cons(X2,X3)))
      | ~ ssList(skaf42(X0,X1))
      | ~ ssItem(X2)
      | ~ ssItem(X1)
      | ~ strictorderedP(app(app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))),cons(X2,X3)))
      | ~ ssList(X3)
      | lt(X1,X2)
      | ~ ssList(X0)
      | ~ memberP(X0,X1) ),
    inference(forward_subsumption_resolution,[],[f277,f52]) ).

fof(f279,plain,
    ! [X2,X3,X0,X1] :
      ( ~ strictorderedP(app(app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))),cons(X2,X3)))
      | ~ ssItem(X2)
      | ~ ssItem(X1)
      | ~ ssList(app(X0,cons(X2,X3)))
      | ~ ssList(X3)
      | lt(X1,X2)
      | ~ ssList(X0)
      | ~ memberP(X0,X1) ),
    inference(forward_subsumption_resolution,[],[f278,f53]) ).

fof(f298,plain,
    ! [X0] :
      ( app(sk6,app(sF0,X0)) = app(sF1,X0)
      | ~ ssList(sF0)
      | ~ ssList(sk6)
      | ~ ssList(X0) ),
    inference(superposition,[],[f161,f245]) ).

fof(f318,plain,
    ! [X0] :
      ( app(sk6,app(sF0,X0)) = app(sF1,X0)
      | ~ ssList(sF0)
      | ~ ssList(X0) ),
    inference(forward_subsumption_resolution,[],[f298,f210]) ).

fof(f326,plain,
    ! [X0] :
      ( app(sF1,X0) = app(sk6,cons(sk5,X0))
      | ~ ssList(sF0)
      | ~ ssList(X0)
      | ~ ssList(X0) ),
    inference(superposition,[],[f318,f267]) ).

fof(f331,plain,
    ! [X0] :
      ( app(sF1,X0) = app(sk6,cons(sk5,X0))
      | ~ ssList(sF0)
      | ~ ssList(X0) ),
    inference(duplicate_literal_removal,[],[f326]) ).

fof(f337,plain,
    ( ssList(sF0)
    | ~ ssList(nil)
    | ~ ssItem(sk5) ),
    inference(superposition,[],[f86,f243]) ).

fof(f338,plain,
    ( ssList(sF0)
    | ~ ssItem(sk5) ),
    inference(forward_subsumption_resolution,[],[f337,f8]) ).

fof(f339,plain,
    ssList(sF0),
    inference(forward_subsumption_resolution,[],[f338,f209]) ).

fof(f340,plain,
    ssList(sF1),
    inference(resolution,[],[f339,f273]) ).

fof(f379,plain,
    ( app(sk6,sF0) = app(sF1,nil)
    | ~ ssList(sF0)
    | ~ ssList(nil) ),
    inference(superposition,[],[f331,f243]) ).

fof(f380,plain,
    ! [X0] :
      ( memberP(app(sF1,X0),sk5)
      | ~ ssList(sk6)
      | ~ ssItem(sk5)
      | ~ ssList(app(sk6,cons(sk5,X0)))
      | ~ ssList(X0)
      | ~ ssList(sF0)
      | ~ ssList(X0) ),
    inference(superposition,[],[f233,f331]) ).

fof(f385,plain,
    ! [X0] :
      ( memberP(app(sF1,X0),sk5)
      | ~ ssList(sk6)
      | ~ ssItem(sk5)
      | ~ ssList(app(sk6,cons(sk5,X0)))
      | ~ ssList(X0)
      | ~ ssList(sF0) ),
    inference(duplicate_literal_removal,[],[f380]) ).

fof(f388,plain,
    ! [X0] :
      ( memberP(app(sF1,X0),sk5)
      | ~ ssItem(sk5)
      | ~ ssList(app(sk6,cons(sk5,X0)))
      | ~ ssList(X0)
      | ~ ssList(sF0) ),
    inference(forward_subsumption_resolution,[],[f385,f210]) ).

fof(f389,plain,
    ( app(sk6,sF0) = app(sF1,nil)
    | ~ ssList(nil) ),
    inference(forward_subsumption_resolution,[],[f379,f339]) ).

fof(f392,plain,
    ! [X0] :
      ( memberP(app(sF1,X0),sk5)
      | ~ ssList(app(sk6,cons(sk5,X0)))
      | ~ ssList(X0)
      | ~ ssList(sF0) ),
    inference(forward_subsumption_resolution,[],[f388,f209]) ).

fof(f393,plain,
    app(sk6,sF0) = app(sF1,nil),
    inference(forward_subsumption_resolution,[],[f389,f8]) ).

fof(f396,plain,
    ! [X0] :
      ( ~ ssList(app(sk6,cons(sk5,X0)))
      | memberP(app(sF1,X0),sk5)
      | ~ ssList(X0) ),
    inference(forward_subsumption_resolution,[],[f392,f339]) ).

fof(f397,plain,
    sF1 = app(sF1,nil),
    inference(forward_demodulation,[],[f393,f245]) ).

fof(f444,plain,
    ! [X2,X3,X0,X1] :
      ( ~ strictorderedP(app(X0,cons(X2,X3)))
      | ~ ssItem(X2)
      | ~ ssItem(X1)
      | ~ ssList(app(X0,cons(X2,X3)))
      | ~ ssList(X3)
      | lt(X1,X2)
      | ~ ssList(X0)
      | ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | ~ memberP(X0,X1) ),
    inference(superposition,[],[f279,f182]) ).

fof(f447,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(app(X0,cons(X2,X3)))
      | ~ ssItem(X2)
      | ~ ssItem(X1)
      | ~ strictorderedP(app(X0,cons(X2,X3)))
      | ~ ssList(X3)
      | lt(X1,X2)
      | ~ ssList(X0)
      | ~ memberP(X0,X1) ),
    inference(duplicate_literal_removal,[],[f444]) ).

fof(f453,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ strictorderedP(app(X2,cons(X0,X3)))
      | ~ ssList(X3)
      | lt(X1,X0)
      | ~ ssList(X2)
      | ~ memberP(X2,X1)
      | ~ ssList(X2)
      | ~ ssList(cons(X0,X3)) ),
    inference(resolution,[],[f447,f85]) ).

fof(f462,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ strictorderedP(app(X2,cons(X0,X3)))
      | ~ ssList(X3)
      | lt(X1,X0)
      | ~ ssList(X2)
      | ~ memberP(X2,X1)
      | ~ ssList(cons(X0,X3)) ),
    inference(duplicate_literal_removal,[],[f453]) ).

fof(f469,plain,
    ! [X2,X3,X0,X1] :
      ( ~ strictorderedP(app(X2,cons(X0,X3)))
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | ~ ssList(X3)
      | lt(X1,X0)
      | ~ ssList(X2)
      | ~ memberP(X2,X1) ),
    inference(forward_subsumption_resolution,[],[f462,f86]) ).

fof(f482,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ strictorderedP(app(X0,app(X1,cons(X2,X3))))
      | ~ ssItem(X4)
      | ~ ssItem(X2)
      | ~ ssList(X3)
      | lt(X4,X2)
      | ~ ssList(app(X0,X1))
      | ~ memberP(app(X0,X1),X4)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(cons(X2,X3)) ),
    inference(superposition,[],[f469,f161]) ).

fof(f483,plain,
    ! [X0,X1] :
      ( ~ strictorderedP(app(sF1,X0))
      | ~ ssItem(X1)
      | ~ ssItem(sk5)
      | ~ ssList(X0)
      | lt(X1,sk5)
      | ~ ssList(sk6)
      | ~ memberP(sk6,X1)
      | ~ ssList(sF0)
      | ~ ssList(X0) ),
    inference(superposition,[],[f469,f331]) ).

fof(f485,plain,
    ! [X0,X1] :
      ( ~ strictorderedP(app(sF1,X0))
      | ~ ssItem(X1)
      | ~ ssItem(sk5)
      | ~ ssList(X0)
      | lt(X1,sk5)
      | ~ ssList(sk6)
      | ~ memberP(sk6,X1)
      | ~ ssList(sF0) ),
    inference(duplicate_literal_removal,[],[f483]) ).

fof(f488,plain,
    ! [X0,X1] :
      ( ~ strictorderedP(app(sF1,X0))
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | lt(X1,sk5)
      | ~ ssList(sk6)
      | ~ memberP(sk6,X1)
      | ~ ssList(sF0) ),
    inference(forward_subsumption_resolution,[],[f485,f209]) ).

fof(f489,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ strictorderedP(app(X0,app(X1,cons(X2,X3))))
      | ~ ssItem(X4)
      | ~ ssItem(X2)
      | ~ ssList(X3)
      | lt(X4,X2)
      | ~ ssList(app(X0,X1))
      | ~ memberP(app(X0,X1),X4)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(forward_subsumption_resolution,[],[f482,f86]) ).

fof(f494,plain,
    ! [X0,X1] :
      ( ~ strictorderedP(app(sF1,X0))
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | lt(X1,sk5)
      | ~ memberP(sk6,X1)
      | ~ ssList(sF0) ),
    inference(forward_subsumption_resolution,[],[f488,f210]) ).

fof(f495,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ strictorderedP(app(X0,app(X1,cons(X2,X3))))
      | ~ ssItem(X4)
      | ~ ssItem(X2)
      | ~ ssList(X3)
      | lt(X4,X2)
      | ~ memberP(app(X0,X1),X4)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(forward_subsumption_resolution,[],[f489,f85]) ).

fof(f498,plain,
    ! [X0,X1] :
      ( ~ strictorderedP(app(sF1,X0))
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | lt(X1,sk5)
      | ~ memberP(sk6,X1) ),
    inference(forward_subsumption_resolution,[],[f494,f339]) ).

fof(f499,plain,
    ! [X0] :
      ( ~ strictorderedP(sk3)
      | ~ ssItem(X0)
      | ~ ssList(sk7)
      | lt(X0,sk5)
      | ~ memberP(sk6,X0) ),
    inference(superposition,[],[f498,f255]) ).

fof(f504,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | ~ ssList(sk7)
      | lt(X0,sk5)
      | ~ memberP(sk6,X0) ),
    inference(forward_subsumption_resolution,[],[f499,f207]) ).

fof(f506,plain,
    ! [X0] :
      ( ~ memberP(sk6,X0)
      | lt(X0,sk5)
      | ~ ssItem(X0) ),
    inference(forward_subsumption_resolution,[],[f504,f211]) ).

fof(f537,plain,
    ! [X2,X3,X0,X1] :
      ( ~ strictorderedP(app(X1,X0))
      | ~ ssItem(X3)
      | ~ ssItem(X2)
      | ~ ssList(skaf43(X2,X0))
      | lt(X3,X2)
      | ~ memberP(app(X1,skaf42(X0,X2)),X3)
      | ~ ssList(skaf42(X0,X2))
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssList(X0)
      | ~ memberP(X0,X2) ),
    inference(superposition,[],[f495,f182]) ).

fof(f549,plain,
    ! [X2,X3,X0,X1] :
      ( ~ strictorderedP(app(X1,X0))
      | ~ ssItem(X3)
      | ~ ssItem(X2)
      | ~ ssList(skaf43(X2,X0))
      | lt(X3,X2)
      | ~ memberP(app(X1,skaf42(X0,X2)),X3)
      | ~ ssList(skaf42(X0,X2))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ memberP(X0,X2) ),
    inference(duplicate_literal_removal,[],[f537]) ).

fof(f558,plain,
    ! [X2,X3,X0,X1] :
      ( ~ strictorderedP(app(X1,X0))
      | ~ ssItem(X3)
      | ~ ssItem(X2)
      | lt(X3,X2)
      | ~ memberP(app(X1,skaf42(X0,X2)),X3)
      | ~ ssList(skaf42(X0,X2))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ memberP(X0,X2) ),
    inference(forward_subsumption_resolution,[],[f549,f52]) ).

fof(f565,plain,
    ! [X2,X3,X0,X1] :
      ( ~ memberP(app(X1,skaf42(X0,X2)),X3)
      | ~ ssItem(X3)
      | ~ ssItem(X2)
      | lt(X3,X2)
      | ~ strictorderedP(app(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ memberP(X0,X2) ),
    inference(forward_subsumption_resolution,[],[f558,f53]) ).

fof(f571,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssItem(X1)
      | lt(X0,X1)
      | ~ strictorderedP(app(X2,X3))
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ memberP(X3,X1)
      | ~ ssList(skaf42(X3,X1))
      | ~ ssList(X2)
      | ~ ssItem(X0)
      | ~ memberP(X2,X0) ),
    inference(resolution,[],[f565,f151]) ).

fof(f576,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssItem(X1)
      | lt(X0,X1)
      | ~ strictorderedP(app(X2,X3))
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ memberP(X3,X1)
      | ~ ssList(skaf42(X3,X1))
      | ~ memberP(X2,X0) ),
    inference(duplicate_literal_removal,[],[f571]) ).

fof(f581,plain,
    ! [X2,X3,X0,X1] :
      ( ~ strictorderedP(app(X2,X3))
      | ~ ssItem(X1)
      | lt(X0,X1)
      | ~ ssItem(X0)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ memberP(X3,X1)
      | ~ memberP(X2,X0) ),
    inference(forward_subsumption_resolution,[],[f576,f53]) ).

fof(f594,plain,
    ! [X0,X1] :
      ( ~ strictorderedP(sk3)
      | ~ ssItem(X0)
      | lt(X1,X0)
      | ~ ssItem(X1)
      | ~ ssList(sF1)
      | ~ ssList(sk7)
      | ~ memberP(sk7,X0)
      | ~ memberP(sF1,X1) ),
    inference(superposition,[],[f581,f255]) ).

fof(f601,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | lt(X1,X0)
      | ~ ssItem(X1)
      | ~ ssList(sF1)
      | ~ ssList(sk7)
      | ~ memberP(sk7,X0)
      | ~ memberP(sF1,X1) ),
    inference(forward_subsumption_resolution,[],[f594,f207]) ).

fof(f609,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | lt(X1,X0)
      | ~ ssItem(X1)
      | ~ ssList(sk7)
      | ~ memberP(sk7,X0)
      | ~ memberP(sF1,X1) ),
    inference(forward_subsumption_resolution,[],[f601,f340]) ).

fof(f613,plain,
    ! [X0,X1] :
      ( ~ memberP(sF1,X1)
      | lt(X1,X0)
      | ~ ssItem(X1)
      | ~ memberP(sk7,X0)
      | ~ ssItem(X0) ),
    inference(forward_subsumption_resolution,[],[f609,f211]) ).

fof(f786,plain,
    ( ~ ssList(app(sk6,sF0))
    | memberP(app(sF1,nil),sk5)
    | ~ ssList(nil) ),
    inference(superposition,[],[f396,f243]) ).

fof(f790,plain,
    ( ~ ssList(app(sk6,sF0))
    | memberP(app(sF1,nil),sk5) ),
    inference(forward_subsumption_resolution,[],[f786,f8]) ).

fof(f793,plain,
    ( ~ ssList(sF1)
    | memberP(app(sF1,nil),sk5) ),
    inference(forward_demodulation,[],[f790,f245]) ).

fof(f794,plain,
    memberP(app(sF1,nil),sk5),
    inference(forward_subsumption_resolution,[],[f793,f340]) ).

fof(f795,plain,
    memberP(sF1,sk5),
    inference(forward_demodulation,[],[f794,f397]) ).

fof(f796,plain,
    ! [X0] :
      ( lt(sk5,X0)
      | ~ ssItem(sk5)
      | ~ memberP(sk7,X0)
      | ~ ssItem(X0) ),
    inference(resolution,[],[f795,f613]) ).

fof(f798,plain,
    ! [X0] :
      ( ~ memberP(sk7,X0)
      | lt(sk5,X0)
      | ~ ssItem(X0) ),
    inference(forward_subsumption_resolution,[],[f796,f209]) ).

fof(f799,plain,
    ( lt(sk5,sk5)
    | ~ ssItem(sk5)
    | memberP(sk6,sk5) ),
    inference(resolution,[],[f798,f214]) ).

fof(f800,plain,
    ( ~ ssItem(sk5)
    | memberP(sk6,sk5) ),
    inference(forward_subsumption_resolution,[],[f799,f254]) ).

fof(f801,plain,
    memberP(sk6,sk5),
    inference(forward_subsumption_resolution,[],[f800,f209]) ).

fof(f802,plain,
    ( lt(sk5,sk5)
    | ~ ssItem(sk5) ),
    inference(resolution,[],[f801,f506]) ).

fof(f804,plain,
    ~ ssItem(sk5),
    inference(forward_subsumption_resolution,[],[f802,f254]) ).

fof(f805,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f804,f209]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC186-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40  % Computer : n007.cluster.edu
% 0.10/0.40  % Model    : x86_64 x86_64
% 0.10/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.40  % Memory   : 8046.5625MB
% 0.10/0.40  % OS       : Linux 6.8.0-71-generic
% 0.10/0.40  % CPULimit : 300
% 0.10/0.40  % WCLimit  : 300
% 0.10/0.40  % DateTime : Mon Sep 28 08:19:11 UTC 2026
% 0.10/0.40  % CPUTime  : 
% 0.10/0.40  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.43  Running first-order theorem proving
% 0.10/0.43  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.25/2.31  % (2242238)Input is clausal, will run a generic CNF schedule.
% 10.25/2.31  % (2242243)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2956657821:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.25/2.31  % (2242246)lrs+10_1_sil=8000:sp=occurrence:random_seed=452752895:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.25/2.31  % (2242247)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=663581327:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.25/2.31  % (2242245)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3904407424:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.25/2.31  % (2242248)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3600447128:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.25/2.31  % (2242244)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2535042856:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.25/2.31  % (2242249)dis-21_1_sil=8000:lcm=predicate:random_seed=3455291021:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 10.25/2.31  % (2242249)Instruction limit reached! 
% 10.25/2.31  % (2242249)------------------------------
% 10.25/2.31  % (2242249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.31  % (2242249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.31  % (2242249)CaDiCaL version: 2.1.3
% 10.25/2.31  % (2242249)Termination reason: Instruction limit
% 10.25/2.31  % (2242249)Termination phase: Saturation
% 10.25/2.31  % (2242249)Time elapsed: 0.061 s
% 10.25/2.31  % (2242249)Peak memory usage: 89 MB
% 10.25/2.31  % (2242249)Instructions burned: 117 (million)
% 10.25/2.31  % (2242246)Instruction limit reached! 
% 10.25/2.31  % (2242246)------------------------------
% 10.25/2.31  % (2242246)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.31  % (2242246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.31  % (2242246)CaDiCaL version: 2.1.3
% 10.25/2.31  % (2242246)Termination reason: Instruction limit
% 10.25/2.31  % (2242246)Termination phase: Saturation
% 10.25/2.31  % (2242246)Time elapsed: 0.068 s
% 10.25/2.31  % (2242246)Peak memory usage: 89 MB
% 10.25/2.31  % (2242246)Instructions burned: 108 (million)
% 10.25/2.31  % (2242247)Instruction limit reached! 
% 10.25/2.31  % (2242247)------------------------------
% 10.25/2.31  % (2242247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.31  % (2242247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.31  % (2242247)CaDiCaL version: 2.1.3
% 10.25/2.31  % (2242247)Termination reason: Instruction limit
% 10.25/2.31  % (2242247)Termination phase: Saturation
% 10.25/2.31  % (2242247)Time elapsed: 0.072 s
% 10.25/2.31  % (2242247)Peak memory usage: 89 MB
% 10.25/2.31  % (2242247)Instructions burned: 115 (million)
% 10.25/2.31  % (2242248)Instruction limit reached! 
% 10.25/2.31  % (2242248)------------------------------
% 10.25/2.31  % (2242248)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.31  % (2242248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.31  % (2242248)CaDiCaL version: 2.1.3
% 10.25/2.31  % (2242248)Termination reason: Instruction limit
% 10.25/2.31  % (2242248)Termination phase: Saturation
% 10.25/2.31  % (2242248)Time elapsed: 0.122 s
% 10.25/2.31  % (2242248)Peak memory usage: 90 MB
% 10.25/2.31  % (2242248)Instructions burned: 181 (million)
% 10.25/2.31  % (2242258)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2615506727:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 10.25/2.31  % (2242257)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=181383717:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 10.25/2.31  % (2242259)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2455152232:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 10.25/2.31  % (2242260)lrs+10_64_to=lpo:sil=8000:random_seed=1524103955:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 10.25/2.31  % (2242258)Instruction limit reached! 
% 12.24/2.66  % (2242258)------------------------------
% 12.24/2.66  % (2242258)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.24/2.66  % (2242258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.24/2.66  % (2242258)CaDiCaL version: 2.1.3
% 12.24/2.66  % (2242258)Termination reason: Instruction limit
% 12.24/2.66  % (2242258)Termination phase: Saturation
% 12.24/2.66  % (2242258)Time elapsed: 0.097 s
% 12.24/2.66  % (2242258)Peak memory usage: 92 MB
% 12.24/2.66  % (2242258)Instructions burned: 190 (million)
% 12.24/2.66  % (2242257)Instruction limit reached! 
% 12.24/2.66  % (2242257)------------------------------
% 12.24/2.66  % (2242257)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.24/2.66  % (2242257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.24/2.66  % (2242257)CaDiCaL version: 2.1.3
% 12.24/2.66  % (2242257)Termination reason: Instruction limit
% 12.24/2.66  % (2242257)Termination phase: Saturation
% 12.24/2.66  % (2242257)Time elapsed: 0.094 s
% 12.24/2.66  % (2242257)Peak memory usage: 90 MB
% 12.24/2.66  % (2242257)Instructions burned: 144 (million)
% 12.24/2.66  % (2242260)Instruction limit reached! 
% 12.24/2.66  % (2242260)------------------------------
% 12.24/2.66  % (2242260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.24/2.66  % (2242260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.24/2.66  % (2242260)CaDiCaL version: 2.1.3
% 12.24/2.66  % (2242260)Termination reason: Instruction limit
% 12.24/2.66  % (2242260)Termination phase: Saturation
% 12.24/2.66  % (2242260)Time elapsed: 0.066 s
% 12.24/2.66  % (2242260)Peak memory usage: 90 MB
% 12.24/2.66  % (2242260)Instructions burned: 127 (million)
% 12.24/2.66  % (2242259)Instruction limit reached! 
% 12.24/2.66  % (2242259)------------------------------
% 12.24/2.66  % (2242259)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.24/2.66  % (2242259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.24/2.66  % (2242259)CaDiCaL version: 2.1.3
% 12.24/2.66  % (2242259)Termination reason: Instruction limit
% 12.24/2.66  % (2242259)Termination phase: Saturation
% 12.24/2.66  % (2242259)Time elapsed: 0.131 s
% 12.24/2.66  % (2242259)Peak memory usage: 90 MB
% 12.24/2.66  % (2242259)Instructions burned: 219 (million)
% 12.24/2.66  % (2242265)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1150180665:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 12.24/2.66  % (2242266)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1206609930:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 12.24/2.66  % (2242267)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1805492448:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 12.24/2.66  % (2242268)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=4203396960:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 12.24/2.66  % (2242266)Instruction limit reached! 
% 12.24/2.66  % (2242266)------------------------------
% 12.24/2.66  % (2242266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.24/2.66  % (2242266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.24/2.66  % (2242266)CaDiCaL version: 2.1.3
% 12.24/2.66  % (2242266)Termination reason: Instruction limit
% 12.24/2.66  % (2242266)Termination phase: Saturation
% 12.24/2.66  % (2242266)Time elapsed: 0.093 s
% 12.24/2.66  % (2242266)Peak memory usage: 91 MB
% 12.24/2.66  % (2242266)Instructions burned: 157 (million)
% 12.24/2.66  % (2242268)Instruction limit reached! 
% 12.24/2.66  % (2242268)------------------------------
% 12.24/2.66  % (2242268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.24/2.66  % (2242268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.24/2.66  % (2242268)CaDiCaL version: 2.1.3
% 12.24/2.66  % (2242268)Termination reason: Instruction limit
% 12.24/2.66  % (2242268)Termination phase: Saturation
% 12.24/2.66  % (2242268)Time elapsed: 0.056 s
% 12.24/2.66  % (2242268)Peak memory usage: 90 MB
% 12.24/2.66  % (2242268)Instructions burned: 107 (million)
% 12.24/2.66  % (2242265)Instruction limit reached! 
% 12.24/2.66  % (2242265)------------------------------
% 12.24/2.66  % (2242265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.24/2.66  % (2242265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.24/2.66  % (2242265)CaDiCaL version: 2.1.3
% 12.24/2.66  % (2242265)Termination reason: Instruction limit
% 12.24/2.66  % (2242265)Termination phase: Saturation
% 12.24/2.66  % (2242265)Time elapsed: 0.118 s
% 12.24/2.66  % (2242265)Peak memory usage: 90 MB
% 12.24/2.66  % (2242265)Instructions burned: 195 (million)
% 12.24/2.66  % (2242273)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1317629368:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 12.24/2.66  % (2242274)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2187091899:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 12.24/2.66  % (2242275)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3171945489:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 12.24/2.66  % (2242273)Instruction limit reached! 
% 12.24/2.66  % (2242273)------------------------------
% 12.24/2.66  % (2242273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.24/2.66  % (2242273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.24/2.66  % (2242273)CaDiCaL version: 2.1.3
% 12.24/2.66  % (2242273)Termination reason: Instruction limit
% 12.24/2.66  % (2242273)Termination phase: Saturation
% 12.24/2.66  % (2242273)Time elapsed: 0.063 s
% 12.24/2.66  % (2242273)Peak memory usage: 89 MB
% 12.24/2.66  % (2242273)Instructions burned: 107 (million)
% 12.24/2.66  % (2242274)Instruction limit reached! 
% 12.24/2.66  % (2242274)------------------------------
% 12.24/2.66  % (2242274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.24/2.66  % (2242274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.24/2.66  % (2242274)CaDiCaL version: 2.1.3
% 12.24/2.66  % (2242274)Termination reason: Instruction limit
% 12.24/2.66  % (2242274)Termination phase: Saturation
% 12.24/2.66  % (2242274)Time elapsed: 0.152 s
% 12.24/2.66  % (2242274)Peak memory usage: 89 MB
% 12.24/2.66  % (2242274)Instructions burned: 242 (million)
% 12.24/2.66  % (2242279)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=422250862:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 12.24/2.66  % (2242279)Instruction limit reached! 
% 12.24/2.66  % (2242279)------------------------------
% 12.24/2.66  % (2242279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.24/2.66  % (2242279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.24/2.66  % (2242279)CaDiCaL version: 2.1.3
% 12.24/2.66  % (2242279)Termination reason: Instruction limit
% 12.24/2.66  % (2242279)Termination phase: Saturation
% 12.24/2.66  % (2242279)Time elapsed: 0.085 s
% 12.24/2.66  % (2242279)Peak memory usage: 90 MB
% 12.24/2.66  % (2242279)Instructions burned: 135 (million)
% 12.24/2.66  % (2242280)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2566076219:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 12.24/2.66  % (2242283)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=311603227:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 12.24/2.66  % (2242283)Instruction limit reached! 
% 12.24/2.66  % (2242283)------------------------------
% 12.24/2.66  % (2242283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.24/2.66  % (2242283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.24/2.66  % (2242283)CaDiCaL version: 2.1.3
% 12.24/2.66  % (2242283)Termination reason: Instruction limit
% 12.24/2.66  % (2242283)Termination phase: Saturation
% 12.24/2.66  % (2242283)Time elapsed: 0.101 s
% 12.24/2.66  % (2242283)Peak memory usage: 90 MB
% 12.24/2.66  % (2242283)Instructions burned: 191 (million)
% 12.24/2.66  % (2242280)Instruction limit reached! 
% 12.24/2.66  % (2242280)------------------------------
% 12.24/2.66  % (2242280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.24/2.66  % (2242280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.24/2.66  % (2242280)CaDiCaL version: 2.1.3
% 12.24/2.66  % (2242280)Termination reason: Instruction limit
% 12.24/2.66  % (2242280)Termination phase: Saturation
% 12.24/2.66  % (2242280)Time elapsed: 0.246 s
% 12.24/2.66  % (2242280)Peak memory usage: 96 MB
% 12.24/2.66  % (2242280)Instructions burned: 500 (million)
% 12.24/2.66  % (2242285)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2396136554:i=264:kws=precedence:fsr=off_2987 on theBenchmark for (2987ds/264Mi)
% 12.24/2.66  % (2242286)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=3194853944:cond=on:i=156:bs=on:gtg=exists_all:er=known_2986 on theBenchmark for (2986ds/156Mi)
% 12.24/2.66  % (2242275)First to succeed.
% 12.24/2.66  % (2242275)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2242238"
% 12.24/2.66  % (2242286)Instruction limit reached! 
% 12.24/2.66  % (2242286)------------------------------
% 12.24/2.66  % (2242286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.24/2.66  % (2242286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.24/2.66  % (2242286)CaDiCaL version: 2.1.3
% 12.24/2.66  % (2242286)Termination reason: Instruction limit
% 12.24/2.66  % (2242286)Termination phase: Saturation
% 12.24/2.66  % (2242286)Time elapsed: 0.092 s
% 12.24/2.66  % (2242286)Peak memory usage: 90 MB
% 12.24/2.66  % (2242286)Instructions burned: 157 (million)
% 12.24/2.66  % (2242285)Instruction limit reached! 
% 12.24/2.66  % (2242285)------------------------------
% 12.24/2.66  % (2242285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.24/2.66  % (2242285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.24/2.66  % (2242285)CaDiCaL version: 2.1.3
% 12.24/2.66  % (2242285)Termination reason: Instruction limit
% 12.24/2.66  % (2242285)Termination phase: Saturation
% 12.24/2.66  % (2242285)Time elapsed: 0.140 s
% 12.24/2.66  % (2242285)Peak memory usage: 91 MB
% 12.24/2.66  % (2242285)Instructions burned: 264 (million)
% 12.24/2.66  % (2242289)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=4091803571:i=3256:kws=precedence:bd=preordered:av=off_2984 on theBenchmark for (2984ds/3256Mi)
% 12.24/2.66  % (2242290)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=2470516815:i=537:av=off:ss=included_2984 on theBenchmark for (2984ds/537Mi)
% 12.24/2.66  % (2242275)Refutation found. Thanks to Tanya!
% 12.24/2.66  % SZS status Unsatisfiable for theBenchmark
% 12.24/2.66  % SZS output start Proof for theBenchmark
% See solution above
% 13.19/2.86  % (2242275)------------------------------
% 13.19/2.86  % (2242275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.19/2.86  % (2242275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.19/2.86  % (2242275)CaDiCaL version: 2.1.3
% 13.19/2.86  % (2242275)Termination reason: Refutation
% 13.19/2.86  % (2242275)Time elapsed: 0.711 s
% 13.19/2.86  % (2242275)Peak memory usage: 130 MB
% 13.19/2.86  % (2242275)Instructions burned: 1089 (million)
% 13.19/2.86  % (2242275)------------------------------
% 13.19/2.86  % (2242275)------------------------------
% 13.19/2.86  % (2242238)Success in time 1.788 s
% 13.19/2.86  % Vampire exiting
%------------------------------------------------------------------------------