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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : CSR055+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n010.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 09:44:43 AM UTC 2026

% Result   : Theorem 0.35s 0.44s
% Output   : Refutation 0.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   40
% Syntax   : Number of formulae    :  153 (  22 unt;   0 def)
%            Number of atoms       :  321 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  309 ( 141   ~; 127   |;  11   &)
%                                         (   0 <=>;  30  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   12 (  11 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;  10 con; 0-0 aty)
%            Number of variables   :  261 ( 261   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    individual(c_xskijump_thegame),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just1) ).

fof(f2,axiom,
    genlmt(c_universalvocabularymt,c_corecyclmt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just2) ).

fof(f3,axiom,
    transitivebinarypredicate(c_genlmt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just3) ).

fof(f4,axiom,
    genlmt(c_corecyclmt,c_logicaltruthmt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just4) ).

fof(f5,axiom,
    ! [X0] :
      ~ ( collection(X0)
        & individual(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just5) ).

fof(f6,axiom,
    disjointwith(c_collection,c_individual),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just6) ).

fof(f7,axiom,
    ! [X0,X1,X2] :
      ~ ( isa(X0,X1)
        & isa(X0,X2)
        & disjointwith(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just7) ).

fof(f8,axiom,
    ! [X0,X1,X2] :
      ( ( genlinverse(X0,X1)
        & genlinverse(X1,X2) )
     => genlpreds(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just8) ).

fof(f9,axiom,
    arg2isa(c_disjointwith,c_collection),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just9) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( disjointwith(X0,X1)
     => collection(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just10) ).

fof(f11,axiom,
    ! [X0,X1,X2] :
      ~ ( isa(X0,X1)
        & isa(X0,X2)
        & disjointwith(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just11) ).

fof(f12,axiom,
    ! [X0,X1,X2] :
      ( ( genlinverse(X0,X1)
        & genlinverse(X1,X2) )
     => genlpreds(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just12) ).

fof(f13,axiom,
    ! [X0,X1] :
      ( arg2isa(X0,X1)
     => collection(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just13) ).

fof(f17,axiom,
    ! [X0,X1] :
      ( genlpreds(X0,X1)
     => predicate(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just17) ).

fof(f18,axiom,
    ! [X0,X1] :
      ( genlpreds(X0,X1)
     => predicate(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just18) ).

fof(f19,axiom,
    ! [X0,X1] :
      ( genlpreds(X0,X1)
     => predicate(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just19) ).

fof(f20,axiom,
    ! [X0,X1] :
      ( genlpreds(X0,X1)
     => predicate(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just20) ).

fof(f21,axiom,
    ! [X0,X1,X2] :
      ( ( genlpreds(X0,X1)
        & genlpreds(X1,X2) )
     => genlpreds(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just21) ).

fof(f22,axiom,
    ! [X0] :
      ( predicate(X0)
     => genlpreds(X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just22) ).

fof(f23,axiom,
    ! [X0] :
      ( predicate(X0)
     => genlpreds(X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just23) ).

fof(f26,axiom,
    ! [X0,X1,X2] :
      ( ( genlinverse(X0,X1)
        & genlpreds(X2,X0) )
     => genlinverse(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just26) ).

fof(f27,axiom,
    ! [X0,X1,X2] :
      ( ( genlinverse(X0,X1)
        & genlpreds(X1,X2) )
     => genlinverse(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just27) ).

fof(f29,axiom,
    ! [X0] :
      ( isa(X0,c_collection)
     => collection(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just29) ).

fof(f30,axiom,
    ! [X0] :
      ( collection(X0)
     => isa(X0,c_collection) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just30) ).

fof(f31,axiom,
    ! [X0,X1] :
      ( disjointwith(X0,X1)
     => collection(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just31) ).

fof(f32,axiom,
    ! [X0,X1] :
      ( disjointwith(X0,X1)
     => collection(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just32) ).

fof(f33,axiom,
    ! [X0,X1] :
      ( disjointwith(X0,X1)
     => disjointwith(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just33) ).

fof(f38,axiom,
    ! [X0] :
      ( transitivebinarypredicate(X0)
     => isa(X0,c_transitivebinarypredicate) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just38) ).

fof(f41,axiom,
    ! [X0,X1] :
      ( genlmt(X0,X1)
     => microtheory(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just41) ).

fof(f42,axiom,
    ! [X0,X1] :
      ( genlmt(X0,X1)
     => microtheory(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just42) ).

fof(f43,axiom,
    ! [X0,X1] :
      ( genlmt(X0,X1)
     => microtheory(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just43) ).

fof(f44,axiom,
    ! [X0,X1] :
      ( genlmt(X0,X1)
     => microtheory(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just44) ).

fof(f45,axiom,
    ! [X0,X1,X2] :
      ( ( genlmt(X0,X1)
        & genlmt(X1,X2) )
     => genlmt(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just45) ).

fof(f46,axiom,
    ! [X0] :
      ( microtheory(X0)
     => genlmt(X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just46) ).

fof(f47,axiom,
    ! [X0] :
      ( microtheory(X0)
     => genlmt(X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just47) ).

fof(f48,axiom,
    ! [X0] :
      ( isa(X0,c_individual)
     => individual(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just48) ).

fof(f49,axiom,
    ! [X0] :
      ( individual(X0)
     => isa(X0,c_individual) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just49) ).

fof(f50,axiom,
    ! [X0,X1] :
      ( isa(X0,X1)
     => collection(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just50) ).

fof(f51,axiom,
    ! [X0,X1] :
      ( isa(X0,X1)
     => collection(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just51) ).

fof(f56,conjecture,
    ~ disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query55) ).

fof(f57,negated_conjecture,
    ~ ~ disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
    inference(negated_conjecture,[status(cth)],[f56]) ).

fof(f58,plain,
    disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
    inference(flattening,[],[f57]) ).

fof(f69,plain,
    ! [X0] :
      ( ~ collection(X0)
      | ~ individual(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f70,plain,
    ! [X0,X1,X2] :
      ( ~ isa(X0,X1)
      | ~ isa(X0,X2)
      | ~ disjointwith(X1,X2) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f71,plain,
    ! [X0,X1,X2] :
      ( genlpreds(X0,X2)
      | ~ genlinverse(X0,X1)
      | ~ genlinverse(X1,X2) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f72,plain,
    ! [X0,X1,X2] :
      ( genlpreds(X0,X2)
      | ~ genlinverse(X0,X1)
      | ~ genlinverse(X1,X2) ),
    inference(flattening,[],[f71]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( collection(X1)
      | ~ disjointwith(X0,X1) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f74,plain,
    ! [X0,X1,X2] :
      ( ~ isa(X0,X1)
      | ~ isa(X0,X2)
      | ~ disjointwith(X1,X2) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f75,plain,
    ! [X0,X1,X2] :
      ( genlpreds(X0,X2)
      | ~ genlinverse(X0,X1)
      | ~ genlinverse(X1,X2) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f76,plain,
    ! [X0,X1,X2] :
      ( genlpreds(X0,X2)
      | ~ genlinverse(X0,X1)
      | ~ genlinverse(X1,X2) ),
    inference(flattening,[],[f75]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( collection(X1)
      | ~ arg2isa(X0,X1) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( predicate(X1)
      | ~ genlpreds(X0,X1) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( predicate(X1)
      | ~ genlpreds(X0,X1) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( predicate(X0)
      | ~ genlpreds(X0,X1) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( predicate(X0)
      | ~ genlpreds(X0,X1) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f82,plain,
    ! [X0,X1,X2] :
      ( genlpreds(X0,X2)
      | ~ genlpreds(X0,X1)
      | ~ genlpreds(X1,X2) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f83,plain,
    ! [X0,X1,X2] :
      ( genlpreds(X0,X2)
      | ~ genlpreds(X0,X1)
      | ~ genlpreds(X1,X2) ),
    inference(flattening,[],[f82]) ).

fof(f84,plain,
    ! [X0] :
      ( genlpreds(X0,X0)
      | ~ predicate(X0) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f85,plain,
    ! [X0] :
      ( genlpreds(X0,X0)
      | ~ predicate(X0) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f86,plain,
    ! [X0,X1,X2] :
      ( genlinverse(X2,X1)
      | ~ genlinverse(X0,X1)
      | ~ genlpreds(X2,X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f87,plain,
    ! [X0,X1,X2] :
      ( genlinverse(X2,X1)
      | ~ genlinverse(X0,X1)
      | ~ genlpreds(X2,X0) ),
    inference(flattening,[],[f86]) ).

fof(f88,plain,
    ! [X0,X1,X2] :
      ( genlinverse(X0,X2)
      | ~ genlinverse(X0,X1)
      | ~ genlpreds(X1,X2) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f89,plain,
    ! [X0,X1,X2] :
      ( genlinverse(X0,X2)
      | ~ genlinverse(X0,X1)
      | ~ genlpreds(X1,X2) ),
    inference(flattening,[],[f88]) ).

fof(f90,plain,
    ! [X0] :
      ( collection(X0)
      | ~ isa(X0,c_collection) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f91,plain,
    ! [X0] :
      ( isa(X0,c_collection)
      | ~ collection(X0) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f92,plain,
    ! [X0,X1] :
      ( collection(X1)
      | ~ disjointwith(X0,X1) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( collection(X0)
      | ~ disjointwith(X0,X1) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( disjointwith(X1,X0)
      | ~ disjointwith(X0,X1) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f96,plain,
    ! [X0] :
      ( isa(X0,c_transitivebinarypredicate)
      | ~ transitivebinarypredicate(X0) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( microtheory(X1)
      | ~ genlmt(X0,X1) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f100,plain,
    ! [X0,X1] :
      ( microtheory(X1)
      | ~ genlmt(X0,X1) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f101,plain,
    ! [X0,X1] :
      ( microtheory(X0)
      | ~ genlmt(X0,X1) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( microtheory(X0)
      | ~ genlmt(X0,X1) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f103,plain,
    ! [X0,X1,X2] :
      ( genlmt(X0,X2)
      | ~ genlmt(X0,X1)
      | ~ genlmt(X1,X2) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f104,plain,
    ! [X0,X1,X2] :
      ( genlmt(X0,X2)
      | ~ genlmt(X0,X1)
      | ~ genlmt(X1,X2) ),
    inference(flattening,[],[f103]) ).

fof(f105,plain,
    ! [X0] :
      ( genlmt(X0,X0)
      | ~ microtheory(X0) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f106,plain,
    ! [X0] :
      ( genlmt(X0,X0)
      | ~ microtheory(X0) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f107,plain,
    ! [X0] :
      ( individual(X0)
      | ~ isa(X0,c_individual) ),
    inference(ennf_transformation,[],[f48]) ).

fof(f108,plain,
    ! [X0] :
      ( isa(X0,c_individual)
      | ~ individual(X0) ),
    inference(ennf_transformation,[],[f49]) ).

fof(f109,plain,
    ! [X0,X1] :
      ( collection(X1)
      | ~ isa(X0,X1) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f110,plain,
    ! [X0,X1] :
      ( collection(X1)
      | ~ isa(X0,X1) ),
    inference(ennf_transformation,[],[f51]) ).

fof(f111,plain,
    individual(c_xskijump_thegame),
    inference(cnf_transformation,[],[f1]) ).

fof(f112,plain,
    genlmt(c_universalvocabularymt,c_corecyclmt),
    inference(cnf_transformation,[],[f2]) ).

fof(f113,plain,
    transitivebinarypredicate(c_genlmt),
    inference(cnf_transformation,[],[f3]) ).

fof(f114,plain,
    genlmt(c_corecyclmt,c_logicaltruthmt),
    inference(cnf_transformation,[],[f4]) ).

fof(f115,plain,
    ! [X0] :
      ( ~ collection(X0)
      | ~ individual(X0) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f116,plain,
    disjointwith(c_collection,c_individual),
    inference(cnf_transformation,[],[f6]) ).

fof(f117,plain,
    ! [X2,X0,X1] :
      ( ~ isa(X0,X1)
      | ~ isa(X0,X2)
      | ~ disjointwith(X1,X2) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f118,plain,
    ! [X2,X0,X1] :
      ( genlpreds(X0,X2)
      | ~ genlinverse(X0,X1)
      | ~ genlinverse(X1,X2) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f119,plain,
    arg2isa(c_disjointwith,c_collection),
    inference(cnf_transformation,[],[f9]) ).

fof(f120,plain,
    ! [X0,X1] :
      ( collection(X1)
      | ~ disjointwith(X0,X1) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f121,plain,
    ! [X2,X0,X1] :
      ( ~ isa(X0,X1)
      | ~ isa(X0,X2)
      | ~ disjointwith(X1,X2) ),
    inference(cnf_transformation,[],[f74]) ).

fof(f122,plain,
    ! [X2,X0,X1] :
      ( genlpreds(X0,X2)
      | ~ genlinverse(X0,X1)
      | ~ genlinverse(X1,X2) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f123,plain,
    ! [X0,X1] :
      ( collection(X1)
      | ~ arg2isa(X0,X1) ),
    inference(cnf_transformation,[],[f77]) ).

fof(f124,plain,
    ! [X0,X1] :
      ( predicate(X1)
      | ~ genlpreds(X0,X1) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f125,plain,
    ! [X0,X1] :
      ( predicate(X1)
      | ~ genlpreds(X0,X1) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f126,plain,
    ! [X0,X1] :
      ( predicate(X0)
      | ~ genlpreds(X0,X1) ),
    inference(cnf_transformation,[],[f80]) ).

fof(f127,plain,
    ! [X0,X1] :
      ( predicate(X0)
      | ~ genlpreds(X0,X1) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f128,plain,
    ! [X2,X0,X1] :
      ( genlpreds(X0,X2)
      | ~ genlpreds(X0,X1)
      | ~ genlpreds(X1,X2) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f129,plain,
    ! [X0] :
      ( genlpreds(X0,X0)
      | ~ predicate(X0) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f130,plain,
    ! [X0] :
      ( genlpreds(X0,X0)
      | ~ predicate(X0) ),
    inference(cnf_transformation,[],[f85]) ).

fof(f131,plain,
    ! [X2,X0,X1] :
      ( genlinverse(X2,X1)
      | ~ genlinverse(X0,X1)
      | ~ genlpreds(X2,X0) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f132,plain,
    ! [X2,X0,X1] :
      ( genlinverse(X0,X2)
      | ~ genlinverse(X0,X1)
      | ~ genlpreds(X1,X2) ),
    inference(cnf_transformation,[],[f89]) ).

fof(f134,plain,
    ! [X0] :
      ( collection(X0)
      | ~ isa(X0,c_collection) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f135,plain,
    ! [X0] :
      ( isa(X0,c_collection)
      | ~ collection(X0) ),
    inference(cnf_transformation,[],[f91]) ).

fof(f136,plain,
    ! [X0,X1] :
      ( collection(X1)
      | ~ disjointwith(X0,X1) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f137,plain,
    ! [X0,X1] :
      ( collection(X0)
      | ~ disjointwith(X0,X1) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f138,plain,
    ! [X0,X1] :
      ( disjointwith(X1,X0)
      | ~ disjointwith(X0,X1) ),
    inference(cnf_transformation,[],[f94]) ).

fof(f141,plain,
    ! [X0] :
      ( isa(X0,c_transitivebinarypredicate)
      | ~ transitivebinarypredicate(X0) ),
    inference(cnf_transformation,[],[f96]) ).

fof(f144,plain,
    ! [X0,X1] :
      ( microtheory(X0)
      | ~ genlmt(X1,X0) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f145,plain,
    ! [X0,X1] :
      ( microtheory(X0)
      | ~ genlmt(X1,X0) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f146,plain,
    ! [X0,X1] :
      ( microtheory(X0)
      | ~ genlmt(X0,X1) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f147,plain,
    ! [X0,X1] :
      ( microtheory(X0)
      | ~ genlmt(X0,X1) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f148,plain,
    ! [X2,X0,X1] :
      ( genlmt(X0,X1)
      | ~ genlmt(X0,X2)
      | ~ genlmt(X2,X1) ),
    inference(cnf_transformation,[],[f104]) ).

fof(f149,plain,
    ! [X0] :
      ( genlmt(X0,X0)
      | ~ microtheory(X0) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f150,plain,
    ! [X0] :
      ( genlmt(X0,X0)
      | ~ microtheory(X0) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f151,plain,
    ! [X0] :
      ( individual(X0)
      | ~ isa(X0,c_individual) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f152,plain,
    ! [X0] :
      ( isa(X0,c_individual)
      | ~ individual(X0) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f153,plain,
    ! [X0,X1] :
      ( collection(X1)
      | ~ isa(X0,X1) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f154,plain,
    ! [X0,X1] :
      ( collection(X1)
      | ~ isa(X0,X1) ),
    inference(cnf_transformation,[],[f110]) ).

fof(f156,plain,
    disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
    inference(cnf_transformation,[],[f58]) ).

fof(f157,plain,
    ~ individual(c_xskijump_thegame),
    inference(consistent_polarity_flipping,[],[f111]) ).

fof(f158,plain,
    ~ transitivebinarypredicate(c_genlmt),
    inference(consistent_polarity_flipping,[],[f113]) ).

fof(f159,plain,
    ! [X0] :
      ( collection(X0)
      | individual(X0) ),
    inference(consistent_polarity_flipping,[],[f115]) ).

fof(f160,plain,
    ~ disjointwith(c_collection,c_individual),
    inference(consistent_polarity_flipping,[],[f116]) ).

fof(f161,plain,
    ! [X2,X0,X1] :
      ( ~ isa(X0,X1)
      | ~ isa(X0,X2)
      | disjointwith(X1,X2) ),
    inference(consistent_polarity_flipping,[],[f117]) ).

fof(f162,plain,
    ! [X2,X0,X1] :
      ( ~ genlpreds(X0,X1)
      | ~ genlinverse(X0,X2)
      | ~ genlinverse(X2,X1) ),
    inference(consistent_polarity_flipping,[],[f118]) ).

fof(f163,plain,
    ~ arg2isa(c_disjointwith,c_collection),
    inference(consistent_polarity_flipping,[],[f119]) ).

fof(f164,plain,
    ! [X0,X1] :
      ( ~ collection(X0)
      | disjointwith(X1,X0) ),
    inference(consistent_polarity_flipping,[],[f120]) ).

fof(f165,plain,
    ! [X2,X0,X1] :
      ( ~ isa(X0,X1)
      | ~ isa(X0,X2)
      | disjointwith(X1,X2) ),
    inference(consistent_polarity_flipping,[],[f121]) ).

fof(f166,plain,
    ! [X2,X0,X1] :
      ( ~ genlpreds(X0,X1)
      | ~ genlinverse(X0,X2)
      | ~ genlinverse(X2,X1) ),
    inference(consistent_polarity_flipping,[],[f122]) ).

fof(f167,plain,
    ! [X0,X1] :
      ( ~ collection(X0)
      | arg2isa(X1,X0) ),
    inference(consistent_polarity_flipping,[],[f123]) ).

fof(f168,plain,
    ! [X0,X1] :
      ( predicate(X0)
      | genlpreds(X1,X0) ),
    inference(consistent_polarity_flipping,[],[f124]) ).

fof(f169,plain,
    ! [X0,X1] :
      ( predicate(X0)
      | genlpreds(X1,X0) ),
    inference(consistent_polarity_flipping,[],[f125]) ).

fof(f170,plain,
    ! [X0,X1] :
      ( predicate(X0)
      | genlpreds(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f126]) ).

fof(f171,plain,
    ! [X0,X1] :
      ( predicate(X0)
      | genlpreds(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f127]) ).

fof(f172,plain,
    ! [X2,X0,X1] :
      ( ~ genlpreds(X0,X1)
      | genlpreds(X0,X2)
      | genlpreds(X2,X1) ),
    inference(consistent_polarity_flipping,[],[f128]) ).

fof(f173,plain,
    ! [X0] :
      ( ~ genlpreds(X0,X0)
      | ~ predicate(X0) ),
    inference(consistent_polarity_flipping,[],[f129]) ).

fof(f174,plain,
    ! [X0] :
      ( ~ genlpreds(X0,X0)
      | ~ predicate(X0) ),
    inference(consistent_polarity_flipping,[],[f130]) ).

fof(f175,plain,
    ! [X2,X0,X1] :
      ( genlinverse(X0,X1)
      | ~ genlinverse(X2,X1)
      | genlpreds(X0,X2) ),
    inference(consistent_polarity_flipping,[],[f131]) ).

fof(f176,plain,
    ! [X2,X0,X1] :
      ( genlinverse(X0,X1)
      | ~ genlinverse(X0,X2)
      | genlpreds(X2,X1) ),
    inference(consistent_polarity_flipping,[],[f132]) ).

fof(f177,plain,
    ! [X0] :
      ( ~ collection(X0)
      | ~ isa(X0,c_collection) ),
    inference(consistent_polarity_flipping,[],[f134]) ).

fof(f178,plain,
    ! [X0] :
      ( isa(X0,c_collection)
      | collection(X0) ),
    inference(consistent_polarity_flipping,[],[f135]) ).

fof(f179,plain,
    ! [X0,X1] :
      ( ~ collection(X0)
      | disjointwith(X1,X0) ),
    inference(consistent_polarity_flipping,[],[f136]) ).

fof(f180,plain,
    ! [X0,X1] :
      ( ~ collection(X0)
      | disjointwith(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f137]) ).

fof(f181,plain,
    ! [X0,X1] :
      ( ~ disjointwith(X0,X1)
      | disjointwith(X1,X0) ),
    inference(consistent_polarity_flipping,[],[f138]) ).

fof(f182,plain,
    ! [X0] :
      ( isa(X0,c_transitivebinarypredicate)
      | transitivebinarypredicate(X0) ),
    inference(consistent_polarity_flipping,[],[f141]) ).

fof(f183,plain,
    ! [X0] :
      ( ~ individual(X0)
      | ~ isa(X0,c_individual) ),
    inference(consistent_polarity_flipping,[],[f151]) ).

fof(f184,plain,
    ! [X0] :
      ( isa(X0,c_individual)
      | individual(X0) ),
    inference(consistent_polarity_flipping,[],[f152]) ).

fof(f185,plain,
    ! [X0,X1] :
      ( ~ collection(X0)
      | ~ isa(X1,X0) ),
    inference(consistent_polarity_flipping,[],[f153]) ).

fof(f186,plain,
    ! [X0,X1] :
      ( ~ collection(X0)
      | ~ isa(X1,X0) ),
    inference(consistent_polarity_flipping,[],[f154]) ).

fof(f187,plain,
    ~ disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
    inference(consistent_polarity_flipping,[],[f156]) ).

fof(f200,plain,
    $false,
    inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f157,f112,f158,f114,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f144,f145,f146,f147,f148,f149,f150,f183,f184,f185,f186,f187]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : CSR055+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.09  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.26/0.32  % Computer : n010.cluster.edu
% 0.26/0.32  % Model    : x86_64 x86_64
% 0.26/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.26/0.32  % Memory   : 8046.5625MB
% 0.26/0.32  % OS       : Linux 6.8.0-71-generic
% 0.26/0.32  % CPULimit : 300
% 0.26/0.32  % WCLimit  : 300
% 0.26/0.32  % DateTime : Mon Sep 28 22:19:32 UTC 2026
% 0.26/0.33  % CPUTime  : 
% 0.26/0.33  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.26/0.38  Running first-order model finding
% 0.26/0.38  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/0.44  % (2426054)Will run a generic schedule for satisfiability detection.
% 0.35/0.44  % (2426059)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=17917633_2999 on theBenchmark for (2999ds/0Mi)
% 0.35/0.44  % Detected minimum model sizes of [1]
% 0.35/0.44  % Detected maximum model sizes of [10]
% 0.35/0.44  % TRYING [1]
% 0.35/0.44  % TRYING [2]
% 0.35/0.44  % TRYING [3]
% 0.35/0.44  % TRYING [4]
% 0.35/0.44  % TRYING [5]
% 0.35/0.44  % TRYING [6]
% 0.35/0.44  % (2426059) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2426054-2426059"...
% 0.35/0.44  % (2426059)...printing done.
% 0.35/0.44  % (2426059)Refutation found. Thanks to Tanya!
% 0.35/0.44  % SZS status Theorem for theBenchmark
% 0.35/0.44  % SZS output start Proof for theBenchmark
% See solution above
% 0.35/0.45  % (2426059)------------------------------
% 0.35/0.45  % (2426059)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.45  % (2426059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.45  % (2426059)CaDiCaL version: 2.1.3
% 0.35/0.45  % (2426059)Termination reason: Refutation
% 0.35/0.45  % (2426059)Time elapsed: 0.007 s
% 0.35/0.45  % (2426059)Peak memory usage: 11 MB
% 0.35/0.45  % (2426059)Instructions burned: 13 (million)
% 0.35/0.45  % (2426054)Success in time 0.048 s
% 0.35/0.45  % Vampire exiting
%------------------------------------------------------------------------------