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Leo-III---1.8.0.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : CSR045+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39

% 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 : Sun Sep 27 07:00:30 AM UTC 2026

% Result   : Theorem 4.22s 2.22s
% Output   : Refutation 4.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   58
% Syntax   : Number of formulae    :  118 (  22 unt;   0 typ;   0 def)
%            Number of atoms       :  234 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  503 (  11   ~;   0   |;  26   &; 376   @)
%                                         (   0 <=>;  90  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   27 (  26 usr;  13 con; 0-2 aty)
%            Number of variables   :  164 (   0   ^; 164   !;   0   ?; 164   :)

% Comments : 
%------------------------------------------------------------------------------
thf(genls_decl,type,
    genls: $i > $i > $o ).

thf(c_wamt_evalinitial_p14_decl,type,
    c_wamt_evalinitial_p14: $i ).

thf(c_tptpcol_15_80088_decl,type,
    c_tptpcol_15_80088: $i ).

thf(partiallyintangibleindividual_decl,type,
    partiallyintangibleindividual: $i > $o ).

thf(individual_decl,type,
    individual: $i > $o ).

thf(microtheory_decl,type,
    microtheory: $i > $o ).

thf(aspatialinformationstore_decl,type,
    aspatialinformationstore: $i > $o ).

thf(intangibleindividual_decl,type,
    intangibleindividual: $i > $o ).

thf(transitivebinarypredicate_decl,type,
    transitivebinarypredicate: $i > $o ).

thf(c_genlmt_decl,type,
    c_genlmt: $i ).

thf(isa_decl,type,
    isa: $i > $i > $o ).

thf(c_collection_decl,type,
    c_collection: $i ).

thf(collection_decl,type,
    collection: $i > $o ).

thf(applicationcontext_decl,type,
    applicationcontext: $i > $o ).

thf(c_applicationcontext_decl,type,
    c_applicationcontext: $i ).

thf(c_intangibleindividual_decl,type,
    c_intangibleindividual: $i ).

thf(disjointwith_decl,type,
    disjointwith: $i > $i > $o ).

thf(c_microtheory_decl,type,
    c_microtheory: $i ).

thf(c_individual_decl,type,
    c_individual: $i ).

thf(thing_decl,type,
    thing: $i > $o ).

thf(c_partiallyintangibleindividual_decl,type,
    c_partiallyintangibleindividual: $i ).

thf(c_aspatialinformationstore_decl,type,
    c_aspatialinformationstore: $i ).

thf(arg1isa_decl,type,
    arg1isa: $i > $i > $o ).

thf(relation_decl,type,
    relation: $i > $o ).

thf(c_transitivebinarypredicate_decl,type,
    c_transitivebinarypredicate: $i ).

thf(c_genls_decl,type,
    c_genls: $i ).

thf(59,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genls ) )
     => ( A @ collection ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just20) ).

thf(174,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genls ) )
     => ( A @ collection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).

thf(32,axiom,
    c_collection @ ( c_genls @ arg1isa ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just19) ).

thf(125,plain,
    c_collection @ ( c_genls @ arg1isa ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(31,axiom,
    c_individual @ ( c_collection @ disjointwith ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just16) ).

thf(124,plain,
    c_individual @ ( c_collection @ disjointwith ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(8,axiom,
    ! [A: $i] :
      ( ( c_collection @ ( A @ isa ) )
     => ( A @ collection ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just39) ).

thf(71,plain,
    ! [A: $i] :
      ( ( c_collection @ ( A @ isa ) )
     => ( A @ collection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(45,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ genls ) )
        & ( B @ ( A @ genls ) ) )
     => ( C @ ( A @ genls ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just76) ).

thf(150,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ genls ) )
        & ( B @ ( A @ genls ) ) )
     => ( C @ ( A @ genls ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).

thf(49,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A @ ( C @ genls ) )
        & ( B @ ( A @ genls ) ) )
     => ( B @ ( C @ genls ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just75) ).

thf(158,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A @ ( C @ genls ) )
        & ( B @ ( A @ genls ) ) )
     => ( B @ ( C @ genls ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).

thf(7,axiom,
    ! [A: $i] :
      ( ( A @ aspatialinformationstore )
     => ( A @ intangibleindividual ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just8) ).

thf(69,plain,
    ! [A: $i] :
      ( ( A @ aspatialinformationstore )
     => ( A @ intangibleindividual ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(39,axiom,
    ! [A: $i] :
      ( ( A @ collection )
     => ( A @ ( A @ genls ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just74) ).

thf(138,plain,
    ! [A: $i] :
      ( ( A @ collection )
     => ( A @ ( A @ genls ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).

thf(57,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ genls ) )
        & ( B @ ( A @ arg1isa ) ) )
     => ( C @ ( A @ arg1isa ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just25) ).

thf(170,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ genls ) )
        & ( B @ ( A @ arg1isa ) ) )
     => ( C @ ( A @ arg1isa ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).

thf(27,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ arg1isa ) )
     => ( B @ collection ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just23) ).

thf(115,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ arg1isa ) )
     => ( B @ collection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(46,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genls ) )
     => ( B @ collection ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just68) ).

thf(152,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genls ) )
     => ( B @ collection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).

thf(11,axiom,
    ! [A: $i] :
      ( ( A @ intangibleindividual )
     => ( c_intangibleindividual @ ( A @ isa ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just54) ).

thf(78,plain,
    ! [A: $i] :
      ( ( A @ intangibleindividual )
     => ( c_intangibleindividual @ ( A @ isa ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(53,axiom,
    c_microtheory @ ( c_applicationcontext @ genls ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just13) ).

thf(164,plain,
    c_microtheory @ ( c_applicationcontext @ genls ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).

thf(23,axiom,
    ! [A: $i] :
      ( ( c_microtheory @ ( A @ isa ) )
     => ( A @ microtheory ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just66) ).

thf(106,plain,
    ! [A: $i] :
      ( ( c_microtheory @ ( A @ isa ) )
     => ( A @ microtheory ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(36,axiom,
    ! [A: $i] :
      ( ( c_applicationcontext @ ( A @ isa ) )
     => ( A @ applicationcontext ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just77) ).

thf(132,plain,
    ! [A: $i] :
      ( ( c_applicationcontext @ ( A @ isa ) )
     => ( A @ applicationcontext ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).

thf(16,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ disjointwith ) )
     => ( A @ collection ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just42) ).

thf(89,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ disjointwith ) )
     => ( A @ collection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(14,axiom,
    ! [A: $i] :
      ( ( A @ microtheory )
     => ( c_microtheory @ ( A @ isa ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just67) ).

thf(85,plain,
    ! [A: $i] :
      ( ( A @ microtheory )
     => ( c_microtheory @ ( A @ isa ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(21,axiom,
    ! [A: $i] :
      ( ( A @ partiallyintangibleindividual )
     => ( c_partiallyintangibleindividual @ ( A @ isa ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just52) ).

thf(102,plain,
    ! [A: $i] :
      ( ( A @ partiallyintangibleindividual )
     => ( c_partiallyintangibleindividual @ ( A @ isa ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(1,conjecture,
    ~ ( c_tptpcol_15_80088 @ ( c_wamt_evalinitial_p14 @ genls ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query45) ).

thf(2,negated_conjecture,
    ~ ~ ( c_tptpcol_15_80088 @ ( c_wamt_evalinitial_p14 @ genls ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(60,plain,
    ~ ~ ( c_tptpcol_15_80088 @ ( c_wamt_evalinitial_p14 @ genls ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(28,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ disjointwith ) )
     => ( A @ ( B @ disjointwith ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just43) ).

thf(117,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ disjointwith ) )
     => ( A @ ( B @ disjointwith ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(50,axiom,
    c_wamt_evalinitial_p14 @ applicationcontext,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just1) ).

thf(160,plain,
    c_wamt_evalinitial_p14 @ applicationcontext,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).

thf(54,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genls ) )
     => ( A @ collection ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just70) ).

thf(165,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genls ) )
     => ( A @ collection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).

thf(17,axiom,
    ! [A: $i] :
      ( ( c_intangibleindividual @ ( A @ isa ) )
     => ( A @ intangibleindividual ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just53) ).

thf(92,plain,
    ! [A: $i] :
      ( ( c_intangibleindividual @ ( A @ isa ) )
     => ( A @ intangibleindividual ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(19,axiom,
    ! [A: $i] :
      ( ( A @ collection )
     => ( c_collection @ ( A @ isa ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just40) ).

thf(97,plain,
    ! [A: $i] :
      ( ( A @ collection )
     => ( c_collection @ ( A @ isa ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(48,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ genls ) )
        & ( B @ ( A @ arg1isa ) ) )
     => ( C @ ( A @ arg1isa ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just26) ).

thf(156,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ genls ) )
        & ( B @ ( A @ arg1isa ) ) )
     => ( C @ ( A @ arg1isa ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).

thf(56,axiom,
    c_intangibleindividual @ ( c_aspatialinformationstore @ genls ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just7) ).

thf(169,plain,
    c_intangibleindividual @ ( c_aspatialinformationstore @ genls ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).

thf(37,axiom,
    ! [A: $i] :
      ( ( A @ transitivebinarypredicate )
     => ( c_transitivebinarypredicate @ ( A @ isa ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just48) ).

thf(134,plain,
    ! [A: $i] :
      ( ( A @ transitivebinarypredicate )
     => ( c_transitivebinarypredicate @ ( A @ isa ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).

thf(9,axiom,
    ! [A: $i] :
      ~ ( ( A @ individual )
        & ( A @ collection ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just15) ).

thf(73,plain,
    ! [A: $i] :
      ~ ( ( A @ individual )
        & ( A @ collection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(34,axiom,
    ! [A: $i] :
      ( ( c_aspatialinformationstore @ ( A @ isa ) )
     => ( A @ aspatialinformationstore ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just64) ).

thf(128,plain,
    ! [A: $i] :
      ( ( c_aspatialinformationstore @ ( A @ isa ) )
     => ( A @ aspatialinformationstore ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(44,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ genls ) )
        & ( B @ ( A @ genls ) ) )
     => ( C @ ( A @ genls ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just72) ).

thf(148,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ genls ) )
        & ( B @ ( A @ genls ) ) )
     => ( C @ ( A @ genls ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).

thf(51,axiom,
    c_aspatialinformationstore @ ( c_microtheory @ genls ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just2) ).

thf(161,plain,
    c_aspatialinformationstore @ ( c_microtheory @ genls ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).

thf(4,axiom,
    ! [A: $i] :
      ( ( A @ microtheory )
     => ( A @ aspatialinformationstore ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just3) ).

thf(64,plain,
    ! [A: $i] :
      ( ( A @ microtheory )
     => ( A @ aspatialinformationstore ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(58,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genls ) )
     => ( B @ collection ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just69) ).

thf(172,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genls ) )
     => ( B @ collection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).

thf(26,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ isa ) )
     => ( B @ collection ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just80) ).

thf(113,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ isa ) )
     => ( B @ collection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(10,axiom,
    ! [A: $i] :
      ( ( A @ applicationcontext )
     => ( c_applicationcontext @ ( A @ isa ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just78) ).

thf(76,plain,
    ! [A: $i] :
      ( ( A @ applicationcontext )
     => ( c_applicationcontext @ ( A @ isa ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(40,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genls ) )
     => ( A @ collection ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just71) ).

thf(140,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genls ) )
     => ( A @ collection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).

thf(5,axiom,
    ! [A: $i] :
      ( ( A @ intangibleindividual )
     => ( A @ partiallyintangibleindividual ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just6) ).

thf(66,plain,
    ! [A: $i] :
      ( ( A @ intangibleindividual )
     => ( A @ partiallyintangibleindividual ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(24,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ isa ) )
     => ( A @ thing ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just81) ).

thf(108,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ isa ) )
     => ( A @ thing ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(35,axiom,
    ! [A: $i] :
      ( ( c_partiallyintangibleindividual @ ( A @ isa ) )
     => ( A @ partiallyintangibleindividual ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just51) ).

thf(130,plain,
    ! [A: $i] :
      ( ( c_partiallyintangibleindividual @ ( A @ isa ) )
     => ( A @ partiallyintangibleindividual ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(12,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ isa ) )
     => ( B @ collection ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just79) ).

thf(80,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ isa ) )
     => ( B @ collection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(52,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A @ ( C @ genls ) )
        & ( B @ ( A @ disjointwith ) ) )
     => ( B @ ( C @ disjointwith ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just45) ).

thf(162,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A @ ( C @ genls ) )
        & ( B @ ( A @ disjointwith ) ) )
     => ( B @ ( C @ disjointwith ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).

thf(42,axiom,
    c_partiallyintangibleindividual @ ( c_intangibleindividual @ genls ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just5) ).

thf(145,plain,
    c_partiallyintangibleindividual @ ( c_intangibleindividual @ genls ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).

thf(47,axiom,
    ! [A: $i] :
      ( ( A @ collection )
     => ( A @ ( A @ genls ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just73) ).

thf(154,plain,
    ! [A: $i] :
      ( ( A @ collection )
     => ( A @ ( A @ genls ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).

thf(41,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( B @ ( C @ genls ) )
        & ( B @ ( A @ disjointwith ) ) )
     => ( C @ ( A @ disjointwith ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just44) ).

thf(143,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( B @ ( C @ genls ) )
        & ( B @ ( A @ disjointwith ) ) )
     => ( C @ ( A @ disjointwith ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).

thf(20,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ isa ) )
     => ( A @ thing ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just82) ).

thf(99,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ isa ) )
     => ( A @ thing ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(15,axiom,
    ! [A: $i] :
      ( ( A @ individual )
     => ( c_individual @ ( A @ isa ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just50) ).

thf(87,plain,
    ! [A: $i] :
      ( ( A @ individual )
     => ( c_individual @ ( A @ isa ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(22,axiom,
    ! [A: $i] :
      ( ( A @ applicationcontext )
     => ( A @ microtheory ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just14) ).

thf(104,plain,
    ! [A: $i] :
      ( ( A @ applicationcontext )
     => ( A @ microtheory ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(29,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ arg1isa ) )
     => ( A @ relation ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just24) ).

thf(119,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ arg1isa ) )
     => ( A @ relation ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(13,axiom,
    ! [A: $i,B: $i,C: $i] :
      ~ ( ( C @ ( B @ disjointwith ) )
        & ( C @ ( A @ isa ) )
        & ( B @ ( A @ isa ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just17) ).

thf(82,plain,
    ! [A: $i,B: $i,C: $i] :
      ~ ( ( C @ ( B @ disjointwith ) )
        & ( C @ ( A @ isa ) )
        & ( B @ ( A @ isa ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(55,axiom,
    c_individual @ ( c_partiallyintangibleindividual @ genls ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).

thf(168,plain,
    c_individual @ ( c_partiallyintangibleindividual @ genls ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).

thf(43,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ genls ) )
        & ( B @ ( A @ isa ) ) )
     => ( C @ ( A @ isa ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just83) ).

thf(146,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ genls ) )
        & ( B @ ( A @ isa ) ) )
     => ( C @ ( A @ isa ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).

thf(18,axiom,
    ! [A: $i,B: $i,C: $i] :
      ~ ( ( C @ ( B @ disjointwith ) )
        & ( C @ ( A @ isa ) )
        & ( B @ ( A @ isa ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just21) ).

thf(94,plain,
    ! [A: $i,B: $i,C: $i] :
      ~ ( ( C @ ( B @ disjointwith ) )
        & ( C @ ( A @ isa ) )
        & ( B @ ( A @ isa ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(33,axiom,
    ! [A: $i] :
      ( ( c_individual @ ( A @ isa ) )
     => ( A @ individual ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just49) ).

thf(126,plain,
    ! [A: $i] :
      ( ( c_individual @ ( A @ isa ) )
     => ( A @ individual ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(38,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ disjointwith ) )
     => ( B @ collection ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just41) ).

thf(136,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ disjointwith ) )
     => ( B @ collection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).

thf(6,axiom,
    c_genlmt @ transitivebinarypredicate,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just11) ).

thf(68,plain,
    c_genlmt @ transitivebinarypredicate,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(3,axiom,
    ! [A: $i] :
      ( ( A @ partiallyintangibleindividual )
     => ( A @ individual ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just10) ).

thf(62,plain,
    ! [A: $i] :
      ( ( A @ partiallyintangibleindividual )
     => ( A @ individual ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(25,axiom,
    ! [A: $i] :
      ( ( A @ aspatialinformationstore )
     => ( c_aspatialinformationstore @ ( A @ isa ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just65) ).

thf(111,plain,
    ! [A: $i] :
      ( ( A @ aspatialinformationstore )
     => ( c_aspatialinformationstore @ ( A @ isa ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(30,axiom,
    ! [A: $i] :
      ( ( c_transitivebinarypredicate @ ( A @ isa ) )
     => ( A @ transitivebinarypredicate ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just47) ).

thf(122,plain,
    ! [A: $i] :
      ( ( c_transitivebinarypredicate @ ( A @ isa ) )
     => ( A @ transitivebinarypredicate ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(183,plain,
    $false,
    inference(e,[status(thm)],[174,125,124,71,150,158,69,138,170,115,152,78,164,106,132,89,85,102,60,117,160,165,92,97,156,169,134,73,128,148,161,64,172,113,76,140,66,108,130,80,162,145,154,143,99,87,104,119,82,168,146,94,126,136,68,62,111,122]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR045+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08  % Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.16/0.41  % Computer : n007.cluster.edu
% 0.16/0.41  % Model    : x86_64 x86_64
% 0.16/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41  % Memory   : 8046.5625MB
% 0.16/0.41  % OS       : Linux 6.8.0-71-generic
% 0.16/0.41  % CPULimit : 300
% 0.16/0.41  % WCLimit  : 300
% 0.16/0.41  % DateTime : Sun Sep 27 00:11:54 UTC 2026
% 0.16/0.41  % CPUTime  : 
% 0.16/0.41  Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.67/0.74  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 0.90/0.88  % [INFO] 	 Parsing done (130ms). 
% 0.90/0.88  % [INFO] 	 Running in sequential loop mode. 
% 1.80/1.23  % [INFO] 	 eprover registered as external prover. 
% 1.80/1.24  % [INFO] 	 Scanning for conjecture ... 
% 1.98/1.33  % [INFO] 	 Found a conjecture (or negated_conjecture) and 84 axioms. Running axiom selection ... 
% 2.16/1.41  % [INFO] 	 Axiom selection finished. Selected 57 axioms (removed 27 axioms). 
% 2.16/1.49  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 2.37/1.50  % [INFO] 	 Type checking passed. 
% 2.37/1.50  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 4.22/2.22  % External prover 'e' found a proof!
% 4.22/2.22  % [INFO] 	 Killing All external provers ... 
% 4.22/2.22  % Time passed: 1689ms (effective reasoning time: 1332ms)
% 4.22/2.22  % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 4.22/2.22  % Axioms used in derivation (57): just10, just8, just52, just68, just16, just67, just24, just77, just13, just83, just50, just3, just73, just51, just47, just53, just64, just80, just21, just75, just43, just17, just26, just15, just40, just70, just81, just23, just74, just11, just42, just79, just7, just45, just19, just66, just49, just82, just71, just1, just6, just41, just78, just39, just65, just48, just54, just69, just76, just5, just2, just44, just72, just25, just20, just14, just9
% 4.22/2.22  % No. of inferences in proof: 118
% 4.22/2.22  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1689 ms resp. 1332 ms w/o parsing
% 4.22/2.28  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.22/2.28  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------