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

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : CSR031+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun Sep 27 07:00:08 AM UTC 2026

% Result   : Theorem 6.40s 3.01s
% Output   : Refutation 6.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   75
% Syntax   : Number of formulae    :  152 (  54 unt;   0 typ;   0 def)
%            Number of atoms       :  268 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  577 (  17   ~;   0   |;  30   &; 444   @)
%                                         (   0 <=>;  86  =>;   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     :   41 (  40 usr;  28 con; 0-2 aty)
%            Number of variables   :  164 (   0   ^; 164   !;   0   ?; 164   :)

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

thf(c_tptptptpcol_16_8398_decl,type,
    c_tptptptpcol_16_8398: $i ).

thf(c_tptpcol_16_18488_decl,type,
    c_tptpcol_16_18488: $i ).

thf(tptpcol_1_1_decl,type,
    tptpcol_1_1: $i > $o ).

thf(tptpcol_1_65536_decl,type,
    tptpcol_1_65536: $i > $o ).

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

thf(setorcollection_decl,type,
    setorcollection: $i > $o ).

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

thf(c_mathematicalthing_decl,type,
    c_mathematicalthing: $i ).

thf(c_mathematicalorcomputationalthing_decl,type,
    c_mathematicalorcomputationalthing: $i ).

thf(no_decl,type,
    no: $i > $i > $o ).

thf(intangible_decl,type,
    intangible: $i > $o ).

thf(partiallytangible_decl,type,
    partiallytangible: $i > $o ).

thf(tptpcol_3_98305_decl,type,
    tptpcol_3_98305: $i > $o ).

thf(tptpcol_3_114688_decl,type,
    tptpcol_3_114688: $i > $o ).

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

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

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

thf(c_tptpcol_3_114688_decl,type,
    c_tptpcol_3_114688: $i ).

thf(c_tptpcol_1_65536_decl,type,
    c_tptpcol_1_65536: $i ).

thf(c_intangible_decl,type,
    c_intangible: $i ).

thf(c_partiallytangible_decl,type,
    c_partiallytangible: $i ).

thf(c_enduringthing_localized_decl,type,
    c_enduringthing_localized: $i ).

thf(c_tptpcol_1_1_decl,type,
    c_tptpcol_1_1: $i ).

thf(c_fixedordercollection_decl,type,
    c_fixedordercollection: $i ).

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

thf(c_tptpcol_0_0_decl,type,
    c_tptpcol_0_0: $i ).

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

thf(c_setorcollection_decl,type,
    c_setorcollection: $i ).

thf(c_tptpcol_4_106497_decl,type,
    c_tptpcol_4_106497: $i ).

thf(c_tptpcol_3_98305_decl,type,
    c_tptpcol_3_98305: $i ).

thf(c_tptpcol_2_98304_decl,type,
    c_tptpcol_2_98304: $i ).

thf(c_trajector_underspecified_decl,type,
    c_trajector_underspecified: $i ).

thf(c_xskijump_thegame_decl,type,
    c_xskijump_thegame: $i ).

thf(c_tptpcol_2_2_decl,type,
    c_tptpcol_2_2: $i ).

thf(c_inanimateobject_decl,type,
    c_inanimateobject: $i ).

thf(c_tptpcol_2_65537_decl,type,
    c_tptpcol_2_65537: $i ).

thf(c_tptptptpcol_16_25985_decl,type,
    c_tptptptpcol_16_25985: $i ).

thf(c_tptpcol_4_114689_decl,type,
    c_tptpcol_4_114689: $i ).

thf(c_geographicalregion_decl,type,
    c_geographicalregion: $i ).

thf(43,axiom,
    ! [A: $i] :
      ( ( c_setorcollection @ ( A @ isa ) )
     => ( A @ setorcollection ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_885) ).

thf(153,plain,
    ! [A: $i] :
      ( ( c_setorcollection @ ( A @ isa ) )
     => ( A @ setorcollection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).

thf(61,axiom,
    ! [A: $i] :
      ( ( c_individual @ ( A @ isa ) )
     => ( A @ individual ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_1013) ).

thf(185,plain,
    ! [A: $i] :
      ( ( c_individual @ ( A @ isa ) )
     => ( A @ individual ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).

thf(63,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ disjointwith ) )
     => ( A @ ( B @ disjointwith ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_1120) ).

thf(189,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ disjointwith ) )
     => ( A @ ( B @ disjointwith ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).

thf(41,axiom,
    c_tptpcol_1_1 @ ( c_tptpcol_2_2 @ genls ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_145) ).

thf(150,plain,
    c_tptpcol_1_1 @ ( c_tptpcol_2_2 @ genls ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).

thf(56,axiom,
    c_tptpcol_3_114688 @ ( c_tptpcol_4_114689 @ genls ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_235) ).

thf(177,plain,
    c_tptpcol_3_114688 @ ( c_tptpcol_4_114689 @ genls ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).

thf(33,axiom,
    c_individual @ ( c_tptpcol_0_0 @ genls ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_444) ).

thf(138,plain,
    c_individual @ ( c_tptpcol_0_0 @ genls ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(12,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genls ) )
     => ( B @ collection ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_1106) ).

thf(101,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genls ) )
     => ( B @ collection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(53,axiom,
    ! [A: $i] :
      ~ ( ( A @ individual )
        & ( A @ collection ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_289) ).

thf(170,plain,
    ! [A: $i] :
      ~ ( ( A @ individual )
        & ( A @ collection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).

thf(19,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ isa ) )
     => ( B @ collection ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_1090) ).

thf(115,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ isa ) )
     => ( B @ collection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(22,axiom,
    c_collection @ ( c_fixedordercollection @ genls ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_150) ).

thf(120,plain,
    c_collection @ ( c_fixedordercollection @ genls ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(76,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ disjointwith ) )
     => ( B @ collection ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_1118) ).

thf(211,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ disjointwith ) )
     => ( B @ collection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).

thf(23,axiom,
    c_tptpcol_0_0 @ ( c_tptpcol_1_65536 @ genls ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_123) ).

thf(121,plain,
    c_tptpcol_0_0 @ ( c_tptpcol_1_65536 @ genls ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(29,axiom,
    c_mathematicalthing @ ( c_setorcollection @ genls ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_111) ).

thf(132,plain,
    c_mathematicalthing @ ( c_setorcollection @ genls ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(7,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ no ) )
     => ( B @ setorcollection ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_717) ).

thf(89,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ no ) )
     => ( B @ setorcollection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(30,axiom,
    ! [A: $i] :
      ( ( A @ intangible )
     => ( c_intangible @ ( A @ isa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_1117) ).

thf(133,plain,
    ! [A: $i] :
      ( ( A @ intangible )
     => ( c_intangible @ ( A @ isa ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(20,axiom,
    c_enduringthing_localized @ ( c_partiallytangible @ genls ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_38) ).

thf(117,plain,
    c_enduringthing_localized @ ( c_partiallytangible @ genls ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(5,axiom,
    c_mathematicalorcomputationalthing @ ( c_mathematicalthing @ genls ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_179) ).

thf(85,plain,
    c_mathematicalorcomputationalthing @ ( c_mathematicalthing @ genls ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(70,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( B @ ( C @ genls ) )
        & ( B @ ( A @ disjointwith ) ) )
     => ( C @ ( A @ disjointwith ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_1121) ).

thf(201,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( B @ ( C @ genls ) )
        & ( B @ ( A @ disjointwith ) ) )
     => ( C @ ( A @ disjointwith ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).

thf(48,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genls ) )
     => ( A @ collection ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_1107) ).

thf(160,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genls ) )
     => ( A @ collection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).

thf(32,axiom,
    c_tptpcol_3_98305 @ ( c_tptpcol_4_106497 @ genls ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_68) ).

thf(137,plain,
    c_tptpcol_3_98305 @ ( c_tptpcol_4_106497 @ genls ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(50,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ genls ) )
        & ( B @ ( A @ genls ) ) )
     => ( C @ ( A @ genls ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_1113) ).

thf(165,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ genls ) )
        & ( B @ ( A @ genls ) ) )
     => ( C @ ( A @ genls ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).

thf(67,axiom,
    c_setorcollection @ ( c_individual @ disjointwith ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_166) ).

thf(197,plain,
    c_setorcollection @ ( c_individual @ disjointwith ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).

thf(10,axiom,
    ! [A: $i] :
      ( ( A @ individual )
     => ( c_individual @ ( A @ isa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_1014) ).

thf(97,plain,
    ! [A: $i] :
      ( ( A @ individual )
     => ( c_individual @ ( A @ isa ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(45,axiom,
    ! [A: $i] :
      ( ( c_tptpcol_3_98305 @ ( A @ isa ) )
     => ( A @ tptpcol_3_98305 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_963) ).

thf(156,plain,
    ! [A: $i] :
      ( ( c_tptpcol_3_98305 @ ( A @ isa ) )
     => ( A @ tptpcol_3_98305 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).

thf(52,axiom,
    c_tptptptpcol_16_25985 @ individual,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_299) ).

thf(169,plain,
    c_tptptptpcol_16_25985 @ individual,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).

thf(35,axiom,
    ! [A: $i] :
      ( ( A @ partiallytangible )
     => ( c_partiallytangible @ ( A @ isa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_1115) ).

thf(141,plain,
    ! [A: $i] :
      ( ( A @ partiallytangible )
     => ( c_partiallytangible @ ( A @ isa ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(16,axiom,
    ! [A: $i] :
      ( ( c_intangible @ ( A @ isa ) )
     => ( A @ intangible ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_1116) ).

thf(109,plain,
    ! [A: $i] :
      ( ( c_intangible @ ( A @ isa ) )
     => ( A @ intangible ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(25,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( B @ ( C @ genls ) )
        & ( B @ ( A @ no ) ) )
     => ( C @ ( A @ no ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_723) ).

thf(124,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( B @ ( C @ genls ) )
        & ( B @ ( A @ no ) ) )
     => ( C @ ( A @ no ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(1,conjecture,
    ~ ( c_tptpcol_16_18488 @ ( c_tptptptpcol_16_8398 @ disjointwith ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query81) ).

thf(2,negated_conjecture,
    ~ ~ ( c_tptpcol_16_18488 @ ( c_tptptptpcol_16_8398 @ disjointwith ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(77,plain,
    ~ ~ ( c_tptpcol_16_18488 @ ( c_tptptptpcol_16_8398 @ disjointwith ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(65,axiom,
    c_individual @ ( c_collection @ disjointwith ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_290) ).

thf(193,plain,
    c_individual @ ( c_collection @ disjointwith ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).

thf(54,axiom,
    ! [A: $i] :
      ( ( A @ tptpcol_3_98305 )
     => ( c_tptpcol_3_98305 @ ( A @ isa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_964) ).

thf(173,plain,
    ! [A: $i] :
      ( ( A @ tptpcol_3_98305 )
     => ( c_tptpcol_3_98305 @ ( A @ isa ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).

thf(28,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genls ) )
     => ( A @ collection ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_1108) ).

thf(129,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genls ) )
     => ( A @ collection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(27,axiom,
    c_individual @ ( c_partiallyintangibleindividual @ genls ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_32) ).

thf(128,plain,
    c_individual @ ( c_partiallyintangibleindividual @ genls ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(14,axiom,
    ! [A: $i] :
      ( ( c_tptpcol_3_114688 @ ( A @ isa ) )
     => ( A @ tptpcol_3_114688 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_684) ).

thf(105,plain,
    ! [A: $i] :
      ( ( c_tptpcol_3_114688 @ ( A @ isa ) )
     => ( A @ tptpcol_3_114688 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(40,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ no ) )
     => ( A @ ( B @ no ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_719) ).

thf(148,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ no ) )
     => ( A @ ( B @ no ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).

thf(58,axiom,
    c_partiallytangible @ ( c_geographicalregion @ genls ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_218) ).

thf(180,plain,
    c_partiallytangible @ ( c_geographicalregion @ genls ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).

thf(64,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ disjointwith ) )
     => ( B @ ( A @ no ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_221) ).

thf(191,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ disjointwith ) )
     => ( B @ ( A @ no ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).

thf(21,axiom,
    ! [A: $i] :
      ( ( A @ tptpcol_1_1 )
     => ( c_tptpcol_1_1 @ ( A @ isa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_822) ).

thf(118,plain,
    ! [A: $i] :
      ( ( A @ tptpcol_1_1 )
     => ( c_tptpcol_1_1 @ ( A @ isa ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(72,axiom,
    ! [A: $i,B: $i,C: $i] :
      ~ ( ( C @ ( B @ disjointwith ) )
        & ( C @ ( A @ isa ) )
        & ( B @ ( A @ isa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_363) ).

thf(204,plain,
    ! [A: $i,B: $i,C: $i] :
      ~ ( ( C @ ( B @ disjointwith ) )
        & ( C @ ( A @ isa ) )
        & ( B @ ( A @ isa ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).

thf(37,axiom,
    c_trajector_underspecified @ ( c_individual @ genls ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_389) ).

thf(144,plain,
    c_trajector_underspecified @ ( c_individual @ genls ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).

thf(59,axiom,
    ! [A: $i] :
      ( ( c_partiallytangible @ ( A @ isa ) )
     => ( A @ partiallytangible ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_1114) ).

thf(181,plain,
    ! [A: $i] :
      ( ( c_partiallytangible @ ( A @ isa ) )
     => ( A @ partiallytangible ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).

thf(6,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ no ) )
     => ( A @ setorcollection ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_718) ).

thf(86,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ no ) )
     => ( A @ setorcollection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(47,axiom,
    c_tptpcol_1_65536 @ ( c_tptpcol_2_65537 @ genls ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_348) ).

thf(159,plain,
    c_tptpcol_1_65536 @ ( c_tptpcol_2_65537 @ genls ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).

thf(62,axiom,
    ! [A: $i] :
      ( ( c_tptpcol_1_1 @ ( A @ isa ) )
     => ( A @ tptpcol_1_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_821) ).

thf(187,plain,
    ! [A: $i] :
      ( ( c_tptpcol_1_1 @ ( A @ isa ) )
     => ( A @ tptpcol_1_1 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).

thf(74,axiom,
    c_partiallytangible @ ( c_intangible @ disjointwith ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_2) ).

thf(208,plain,
    c_partiallytangible @ ( c_intangible @ disjointwith ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).

thf(13,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A @ ( C @ genls ) )
        & ( B @ ( A @ no ) ) )
     => ( B @ ( C @ no ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_722) ).

thf(103,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A @ ( C @ genls ) )
        & ( B @ ( A @ no ) ) )
     => ( B @ ( C @ no ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(8,axiom,
    ! [A: $i] :
      ~ ( ( A @ partiallytangible )
        & ( A @ intangible ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_3) ).

thf(91,plain,
    ! [A: $i] :
      ~ ( ( A @ partiallytangible )
        & ( A @ intangible ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(44,axiom,
    c_partiallytangible @ ( c_inanimateobject @ genls ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_8) ).

thf(155,plain,
    c_partiallytangible @ ( c_inanimateobject @ genls ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).

thf(68,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ disjointwith ) )
     => ( B @ collection ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_296) ).

thf(198,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ disjointwith ) )
     => ( B @ collection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).

thf(31,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genls ) )
     => ( B @ collection ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_1105) ).

thf(135,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genls ) )
     => ( B @ collection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(51,axiom,
    ! [A: $i] :
      ( ( A @ collection )
     => ( c_collection @ ( A @ isa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_814) ).

thf(167,plain,
    ! [A: $i] :
      ( ( A @ collection )
     => ( c_collection @ ( A @ isa ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).

thf(75,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A @ ( C @ genls ) )
        & ( B @ ( A @ disjointwith ) ) )
     => ( B @ ( C @ disjointwith ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_1122) ).

thf(209,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A @ ( C @ genls ) )
        & ( B @ ( A @ disjointwith ) ) )
     => ( B @ ( C @ disjointwith ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).

thf(66,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ disjointwith ) )
     => ( A @ collection ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_1119) ).

thf(194,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ disjointwith ) )
     => ( A @ collection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).

thf(38,axiom,
    c_xskijump_thegame @ individual,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_201) ).

thf(145,plain,
    c_xskijump_thegame @ individual,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).

thf(55,axiom,
    ! [A: $i] :
      ( ( A @ tptpcol_1_65536 )
     => ( c_tptpcol_1_65536 @ ( A @ isa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_988) ).

thf(175,plain,
    ! [A: $i] :
      ( ( A @ tptpcol_1_65536 )
     => ( c_tptpcol_1_65536 @ ( A @ isa ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).

thf(36,axiom,
    c_tptpcol_2_98304 @ ( c_tptpcol_3_98305 @ genls ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_233) ).

thf(143,plain,
    c_tptpcol_2_98304 @ ( c_tptpcol_3_98305 @ genls ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).

thf(11,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ genls ) )
        & ( B @ ( A @ isa ) ) )
     => ( C @ ( A @ isa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_1094) ).

thf(99,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ genls ) )
        & ( B @ ( A @ isa ) ) )
     => ( C @ ( A @ isa ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(71,axiom,
    c_tptptptpcol_16_8398 @ individual,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_447) ).

thf(203,plain,
    c_tptptptpcol_16_8398 @ individual,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).

thf(46,axiom,
    c_tptpcol_1_65536 @ ( c_tptpcol_2_98304 @ genls ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_49) ).

thf(158,plain,
    c_tptpcol_1_65536 @ ( c_tptpcol_2_98304 @ genls ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).

thf(18,axiom,
    c_intangible @ ( c_mathematicalorcomputationalthing @ genls ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_131) ).

thf(114,plain,
    c_intangible @ ( c_mathematicalorcomputationalthing @ genls ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(34,axiom,
    ! [A: $i] :
      ( ( A @ tptpcol_3_114688 )
     => ( c_tptpcol_3_114688 @ ( A @ isa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_685) ).

thf(139,plain,
    ! [A: $i] :
      ( ( A @ tptpcol_3_114688 )
     => ( c_tptpcol_3_114688 @ ( A @ isa ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(73,axiom,
    c_tptpcol_3_114688 @ ( c_tptpcol_3_98305 @ disjointwith ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_487) ).

thf(207,plain,
    c_tptpcol_3_114688 @ ( c_tptpcol_3_98305 @ disjointwith ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).

thf(4,axiom,
    ! [A: $i] :
      ~ ( ( A @ setorcollection )
        & ( A @ individual ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_167) ).

thf(82,plain,
    ! [A: $i] :
      ~ ( ( A @ setorcollection )
        & ( A @ individual ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(42,axiom,
    ! [A: $i] :
      ( ( A @ setorcollection )
     => ( c_setorcollection @ ( A @ isa ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_886) ).

thf(151,plain,
    ! [A: $i] :
      ( ( A @ setorcollection )
     => ( c_setorcollection @ ( A @ isa ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).

thf(39,axiom,
    ! [A: $i] :
      ( ( c_collection @ ( A @ isa ) )
     => ( A @ collection ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_813) ).

thf(146,plain,
    ! [A: $i] :
      ( ( c_collection @ ( A @ isa ) )
     => ( A @ collection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).

thf(60,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ genls ) )
        & ( B @ ( A @ genls ) ) )
     => ( C @ ( A @ genls ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_1109) ).

thf(183,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ genls ) )
        & ( B @ ( A @ genls ) ) )
     => ( C @ ( A @ genls ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).

thf(15,axiom,
    ! [A: $i] :
      ( ( c_tptpcol_1_65536 @ ( A @ isa ) )
     => ( A @ tptpcol_1_65536 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_987) ).

thf(107,plain,
    ! [A: $i] :
      ( ( c_tptpcol_1_65536 @ ( A @ isa ) )
     => ( A @ tptpcol_1_65536 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(26,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ isa ) )
     => ( B @ collection ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_1091) ).

thf(126,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ isa ) )
     => ( B @ collection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(3,axiom,
    ! [A: $i] :
      ~ ( ( A @ tptpcol_1_65536 )
        & ( A @ tptpcol_1_1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_153) ).

thf(79,plain,
    ! [A: $i] :
      ~ ( ( A @ tptpcol_1_65536 )
        & ( A @ tptpcol_1_1 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(9,axiom,
    ! [A: $i] :
      ~ ( ( A @ tptpcol_3_114688 )
        & ( A @ tptpcol_3_98305 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_488) ).

thf(94,plain,
    ! [A: $i] :
      ~ ( ( A @ tptpcol_3_114688 )
        & ( A @ tptpcol_3_98305 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(57,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A @ ( C @ genls ) )
        & ( B @ ( A @ genls ) ) )
     => ( B @ ( C @ genls ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_1112) ).

thf(178,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( A @ ( C @ genls ) )
        & ( B @ ( A @ genls ) ) )
     => ( B @ ( C @ genls ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).

thf(49,axiom,
    ! [A: $i] :
      ( ( A @ collection )
     => ( A @ ( A @ genls ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_1111) ).

thf(163,plain,
    ! [A: $i] :
      ( ( A @ collection )
     => ( A @ ( A @ genls ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).

thf(69,axiom,
    c_tptpcol_1_65536 @ ( c_tptpcol_1_1 @ disjointwith ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_152) ).

thf(200,plain,
    c_tptpcol_1_65536 @ ( c_tptpcol_1_1 @ disjointwith ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).

thf(17,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genls ) )
     => ( A @ collection ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_229) ).

thf(111,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ genls ) )
     => ( A @ collection ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(24,axiom,
    ! [A: $i] :
      ( ( A @ collection )
     => ( A @ ( A @ genls ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_1110) ).

thf(122,plain,
    ! [A: $i] :
      ( ( A @ collection )
     => ( A @ ( A @ genls ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(213,plain,
    $false,
    inference(e,[status(thm)],[153,185,189,150,177,138,101,170,115,120,211,121,132,89,133,117,85,201,160,137,165,197,97,156,169,141,109,124,77,193,173,129,128,105,148,180,191,118,204,144,181,86,159,187,208,103,91,155,198,135,167,209,194,145,175,143,99,203,158,114,139,207,82,151,146,183,107,126,79,94,178,163,200,111,122]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR031+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07  % Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.14/0.40  % Computer : n019.cluster.edu
% 0.14/0.40  % Model    : x86_64 x86_64
% 0.14/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40  % Memory   : 8046.5625MB
% 0.14/0.40  % OS       : Linux 6.8.0-71-generic
% 0.14/0.40  % CPULimit : 300
% 0.14/0.40  % WCLimit  : 300
% 0.14/0.40  % DateTime : Sun Sep 27 00:01:48 UTC 2026
% 0.14/0.40  % CPUTime  : 
% 0.14/0.40  Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.87/0.99  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.93/1.39  % [INFO] 	 Parsing done (398ms). 
% 2.34/1.41  % [INFO] 	 Running in sequential loop mode. 
% 3.07/1.79  % [INFO] 	 eprover registered as external prover. 
% 3.30/1.80  % [INFO] 	 Scanning for conjecture ... 
% 3.51/1.97  % [INFO] 	 Found a conjecture (or negated_conjecture) and 1131 axioms. Running axiom selection ... 
% 3.82/2.10  % [INFO] 	 Axiom selection finished. Selected 74 axioms (removed 1057 axioms). 
% 4.29/2.17  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 4.29/2.18  % [INFO] 	 Type checking passed. 
% 4.29/2.19  % [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 ... 
% 6.40/3.00  % External prover 'e' found a proof!
% 6.40/3.00  % [INFO] 	 Killing All external provers ... 
% 6.40/3.00  % Time passed: 2455ms (effective reasoning time: 1589ms)
% 6.40/3.00  % 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)>
% 6.40/3.00  % Axioms used in derivation (74): ax1_1105, ax1_153, ax1_3, ax1_1119, ax1_1113, ax1_1094, ax1_49, ax1_131, ax1_290, ax1_886, ax1_363, ax1_235, ax1_885, ax1_1014, ax1_179, ax1_822, ax1_68, ax1_1111, ax1_1122, ax1_1121, ax1_1091, ax1_167, ax1_1115, ax1_221, ax1_1110, ax1_814, ax1_487, ax1_717, ax1_1118, ax1_145, ax1_2, ax1_1108, ax1_389, ax1_813, ax1_8, ax1_964, ax1_1114, ax1_1013, ax1_152, ax1_123, ax1_32, ax1_488, ax1_723, ax1_1090, ax1_963, ax1_1120, ax1_685, ax1_289, ax1_1116, ax1_718, ax1_150, ax1_229, ax1_1107, ax1_348, ax1_166, ax1_988, ax1_233, ax1_296, ax1_1109, ax1_821, ax1_719, ax1_299, ax1_111, ax1_1106, ax1_684, ax1_1117, ax1_447, ax1_722, ax1_444, ax1_987, ax1_218, ax1_1112, ax1_201, ax1_38
% 6.40/3.00  % No. of inferences in proof: 152
% 6.40/3.01  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2455 ms resp. 1589 ms w/o parsing
% 6.88/3.10  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.88/3.10  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------