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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : CSR039+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n002.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 : Fri Sep 25 01:10:05 PM UTC 2026

% Result   : Theorem 3.75s 1.30s
% Output   : CNFRefutation 3.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   34
%            Number of leaves      :   31
% Syntax   : Number of formulae    :  184 ( 138 unt;   0 def)
%            Number of atoms       :  242 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  112 (  54   ~;  50   |;   3   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   4 usr;   2 prp; 0-2 aty)
%            Number of functors    :   33 (  33 usr;  30 con; 0-2 aty)
%            Number of variables   :   72 (   0 sgn  72   !;   0   ?;  42   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f7,axiom,
    genls(c_tptpcol_2_2,c_tptpcol_1_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just7) ).

fof(f9,axiom,
    genls(c_tptpcol_3_16386,c_tptpcol_2_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just9) ).

fof(f11,axiom,
    genls(c_tptpcol_4_16387,c_tptpcol_3_16386),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just11) ).

fof(f13,axiom,
    genls(c_tptpcol_5_16388,c_tptpcol_4_16387),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just13) ).

fof(f15,axiom,
    genls(c_tptpcol_6_18436,c_tptpcol_5_16388),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just15) ).

fof(f17,axiom,
    genls(c_tptpcol_7_18437,c_tptpcol_6_18436),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just17) ).

fof(f19,axiom,
    genls(c_tptpcol_8_18438,c_tptpcol_7_18437),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just19) ).

fof(f21,axiom,
    genls(c_tptpcol_9_18439,c_tptpcol_8_18438),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just21) ).

fof(f23,axiom,
    genls(c_tptpcol_10_18567,c_tptpcol_9_18439),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just23) ).

fof(f25,axiom,
    genls(c_tptpcol_11_18631,c_tptpcol_10_18567),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just25) ).

fof(f27,axiom,
    genls(c_tptpcol_12_18663,c_tptpcol_11_18631),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just27) ).

fof(f29,axiom,
    genls(c_tptpcol_13_18664,c_tptpcol_12_18663),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just29) ).

fof(f31,axiom,
    genls(c_tptpcol_2_65537,c_tptpcol_1_65536),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just31) ).

fof(f33,axiom,
    genls(c_tptpcol_3_81921,c_tptpcol_2_65537),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just33) ).

fof(f35,axiom,
    genls(c_tptpcol_4_90113,c_tptpcol_3_81921),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just35) ).

fof(f37,axiom,
    genls(c_tptpcol_5_90114,c_tptpcol_4_90113),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just37) ).

fof(f39,axiom,
    genls(c_tptpcol_6_92162,c_tptpcol_5_90114),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just39) ).

fof(f41,axiom,
    genls(c_tptpcol_7_93186,c_tptpcol_6_92162),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just41) ).

fof(f43,axiom,
    genls(c_tptpcol_8_93698,c_tptpcol_7_93186),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just43) ).

fof(f45,axiom,
    genls(c_tptpcol_9_93699,c_tptpcol_8_93698),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just45) ).

fof(f47,axiom,
    genls(c_tptpcol_10_93700,c_tptpcol_9_93699),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just47) ).

fof(f49,axiom,
    genls(c_tptpcol_11_93764,c_tptpcol_10_93700),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just49) ).

fof(f51,axiom,
    genls(c_tptpcol_12_93765,c_tptpcol_11_93764),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just51) ).

fof(f53,axiom,
    genls(c_tptpcol_13_93766,c_tptpcol_12_93765),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just53) ).

fof(f55,axiom,
    genls(c_tptpcol_14_93774,c_tptpcol_13_93766),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just55) ).

fof(f57,axiom,
    genls(c_tptpcol_15_93775,c_tptpcol_14_93774),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just57) ).

fof(f59,axiom,
    disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just59) ).

fof(f76,axiom,
    ! [X0,X1] :
      ( disjointwith(X0,X1)
     => disjointwith(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just76) ).

fof(f77,axiom,
    ! [X0,X1,X2] :
      ( ( genls(X2,X1)
        & disjointwith(X0,X1) )
     => disjointwith(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just77) ).

fof(f78,axiom,
    ! [X0,X1,X2] :
      ( ( genls(X2,X0)
        & disjointwith(X0,X1) )
     => disjointwith(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just78) ).

fof(f171,conjecture,
    ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwpoweripodsearchinfobrown_ipodhtml)),c_translation_7))
   => disjointwith(c_tptpcol_15_93775,c_tptpcol_13_18664) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query39) ).

fof(f172,negated_conjecture,
    ~ ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwpoweripodsearchinfobrown_ipodhtml)),c_translation_7))
     => disjointwith(c_tptpcol_15_93775,c_tptpcol_13_18664) ),
    inference(negated_conjecture,[status(cth)],[f171]) ).

fof(f230,plain,
    ! [X0,X1] :
      ( ~ disjointwith(X0,X1)
      | disjointwith(X1,X0) ),
    inference(ennf_transformation,[],[f76]) ).

fof(f231,plain,
    ! [X0,X1,X2] :
      ( ~ genls(X2,X1)
      | ~ disjointwith(X0,X1)
      | disjointwith(X0,X2) ),
    inference(ennf_transformation,[],[f77]) ).

fof(f232,plain,
    ! [X0,X1,X2] :
      ( ~ genls(X2,X1)
      | ~ disjointwith(X0,X1)
      | disjointwith(X0,X2) ),
    inference(flattening,[],[f231]) ).

fof(f233,plain,
    ! [X0,X1,X2] :
      ( ~ genls(X2,X0)
      | ~ disjointwith(X0,X1)
      | disjointwith(X2,X1) ),
    inference(ennf_transformation,[],[f78]) ).

fof(f234,plain,
    ! [X0,X1,X2] :
      ( ~ genls(X2,X0)
      | ~ disjointwith(X0,X1)
      | disjointwith(X2,X1) ),
    inference(flattening,[],[f233]) ).

fof(f319,plain,
    ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_wwwpoweripodsearchinfobrown_ipodhtml)),c_translation_7))
    & ~ disjointwith(c_tptpcol_15_93775,c_tptpcol_13_18664) ),
    inference(ennf_transformation,[],[f172]) ).

fof(f326,plain,
    genls(c_tptpcol_2_2,c_tptpcol_1_1),
    inference(cnf_transformation,[],[f7]) ).

fof(f328,plain,
    genls(c_tptpcol_3_16386,c_tptpcol_2_2),
    inference(cnf_transformation,[],[f9]) ).

fof(f330,plain,
    genls(c_tptpcol_4_16387,c_tptpcol_3_16386),
    inference(cnf_transformation,[],[f11]) ).

fof(f332,plain,
    genls(c_tptpcol_5_16388,c_tptpcol_4_16387),
    inference(cnf_transformation,[],[f13]) ).

fof(f334,plain,
    genls(c_tptpcol_6_18436,c_tptpcol_5_16388),
    inference(cnf_transformation,[],[f15]) ).

fof(f336,plain,
    genls(c_tptpcol_7_18437,c_tptpcol_6_18436),
    inference(cnf_transformation,[],[f17]) ).

fof(f338,plain,
    genls(c_tptpcol_8_18438,c_tptpcol_7_18437),
    inference(cnf_transformation,[],[f19]) ).

fof(f340,plain,
    genls(c_tptpcol_9_18439,c_tptpcol_8_18438),
    inference(cnf_transformation,[],[f21]) ).

fof(f342,plain,
    genls(c_tptpcol_10_18567,c_tptpcol_9_18439),
    inference(cnf_transformation,[],[f23]) ).

fof(f344,plain,
    genls(c_tptpcol_11_18631,c_tptpcol_10_18567),
    inference(cnf_transformation,[],[f25]) ).

fof(f346,plain,
    genls(c_tptpcol_12_18663,c_tptpcol_11_18631),
    inference(cnf_transformation,[],[f27]) ).

fof(f348,plain,
    genls(c_tptpcol_13_18664,c_tptpcol_12_18663),
    inference(cnf_transformation,[],[f29]) ).

fof(f350,plain,
    genls(c_tptpcol_2_65537,c_tptpcol_1_65536),
    inference(cnf_transformation,[],[f31]) ).

fof(f352,plain,
    genls(c_tptpcol_3_81921,c_tptpcol_2_65537),
    inference(cnf_transformation,[],[f33]) ).

fof(f354,plain,
    genls(c_tptpcol_4_90113,c_tptpcol_3_81921),
    inference(cnf_transformation,[],[f35]) ).

fof(f356,plain,
    genls(c_tptpcol_5_90114,c_tptpcol_4_90113),
    inference(cnf_transformation,[],[f37]) ).

fof(f358,plain,
    genls(c_tptpcol_6_92162,c_tptpcol_5_90114),
    inference(cnf_transformation,[],[f39]) ).

fof(f360,plain,
    genls(c_tptpcol_7_93186,c_tptpcol_6_92162),
    inference(cnf_transformation,[],[f41]) ).

fof(f362,plain,
    genls(c_tptpcol_8_93698,c_tptpcol_7_93186),
    inference(cnf_transformation,[],[f43]) ).

fof(f364,plain,
    genls(c_tptpcol_9_93699,c_tptpcol_8_93698),
    inference(cnf_transformation,[],[f45]) ).

fof(f366,plain,
    genls(c_tptpcol_10_93700,c_tptpcol_9_93699),
    inference(cnf_transformation,[],[f47]) ).

fof(f368,plain,
    genls(c_tptpcol_11_93764,c_tptpcol_10_93700),
    inference(cnf_transformation,[],[f49]) ).

fof(f370,plain,
    genls(c_tptpcol_12_93765,c_tptpcol_11_93764),
    inference(cnf_transformation,[],[f51]) ).

fof(f372,plain,
    genls(c_tptpcol_13_93766,c_tptpcol_12_93765),
    inference(cnf_transformation,[],[f53]) ).

fof(f374,plain,
    genls(c_tptpcol_14_93774,c_tptpcol_13_93766),
    inference(cnf_transformation,[],[f55]) ).

fof(f376,plain,
    genls(c_tptpcol_15_93775,c_tptpcol_14_93774),
    inference(cnf_transformation,[],[f57]) ).

fof(f378,plain,
    disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536),
    inference(cnf_transformation,[],[f59]) ).

fof(f393,plain,
    ! [X0,X1] :
      ( ~ disjointwith(X0,X1)
      | disjointwith(X1,X0) ),
    inference(cnf_transformation,[],[f230]) ).

fof(f394,plain,
    ! [X2,X0,X1] :
      ( ~ genls(X2,X1)
      | ~ disjointwith(X0,X1)
      | disjointwith(X0,X2) ),
    inference(cnf_transformation,[],[f232]) ).

fof(f395,plain,
    ! [X2,X0,X1] :
      ( ~ genls(X2,X0)
      | ~ disjointwith(X0,X1)
      | disjointwith(X2,X1) ),
    inference(cnf_transformation,[],[f234]) ).

fof(f478,plain,
    ~ disjointwith(c_tptpcol_15_93775,c_tptpcol_13_18664),
    inference(cnf_transformation,[],[f319]) ).

tcf(c_55,plain,
    genls(c_tptpcol_2_2,c_tptpcol_1_1),
    inference(cnf_transformation,[],[f326]) ).

tcf(c_57,plain,
    genls(c_tptpcol_3_16386,c_tptpcol_2_2),
    inference(cnf_transformation,[],[f328]) ).

tcf(c_59,plain,
    genls(c_tptpcol_4_16387,c_tptpcol_3_16386),
    inference(cnf_transformation,[],[f330]) ).

tcf(c_61,plain,
    genls(c_tptpcol_5_16388,c_tptpcol_4_16387),
    inference(cnf_transformation,[],[f332]) ).

tcf(c_63,plain,
    genls(c_tptpcol_6_18436,c_tptpcol_5_16388),
    inference(cnf_transformation,[],[f334]) ).

tcf(c_65,plain,
    genls(c_tptpcol_7_18437,c_tptpcol_6_18436),
    inference(cnf_transformation,[],[f336]) ).

tcf(c_67,plain,
    genls(c_tptpcol_8_18438,c_tptpcol_7_18437),
    inference(cnf_transformation,[],[f338]) ).

tcf(c_69,plain,
    genls(c_tptpcol_9_18439,c_tptpcol_8_18438),
    inference(cnf_transformation,[],[f340]) ).

tcf(c_71,plain,
    genls(c_tptpcol_10_18567,c_tptpcol_9_18439),
    inference(cnf_transformation,[],[f342]) ).

tcf(c_73,plain,
    genls(c_tptpcol_11_18631,c_tptpcol_10_18567),
    inference(cnf_transformation,[],[f344]) ).

tcf(c_75,plain,
    genls(c_tptpcol_12_18663,c_tptpcol_11_18631),
    inference(cnf_transformation,[],[f346]) ).

tcf(c_77,plain,
    genls(c_tptpcol_13_18664,c_tptpcol_12_18663),
    inference(cnf_transformation,[],[f348]) ).

tcf(c_79,plain,
    genls(c_tptpcol_2_65537,c_tptpcol_1_65536),
    inference(cnf_transformation,[],[f350]) ).

tcf(c_81,plain,
    genls(c_tptpcol_3_81921,c_tptpcol_2_65537),
    inference(cnf_transformation,[],[f352]) ).

tcf(c_83,plain,
    genls(c_tptpcol_4_90113,c_tptpcol_3_81921),
    inference(cnf_transformation,[],[f354]) ).

tcf(c_85,plain,
    genls(c_tptpcol_5_90114,c_tptpcol_4_90113),
    inference(cnf_transformation,[],[f356]) ).

tcf(c_87,plain,
    genls(c_tptpcol_6_92162,c_tptpcol_5_90114),
    inference(cnf_transformation,[],[f358]) ).

tcf(c_89,plain,
    genls(c_tptpcol_7_93186,c_tptpcol_6_92162),
    inference(cnf_transformation,[],[f360]) ).

tcf(c_91,plain,
    genls(c_tptpcol_8_93698,c_tptpcol_7_93186),
    inference(cnf_transformation,[],[f362]) ).

tcf(c_93,plain,
    genls(c_tptpcol_9_93699,c_tptpcol_8_93698),
    inference(cnf_transformation,[],[f364]) ).

tcf(c_95,plain,
    genls(c_tptpcol_10_93700,c_tptpcol_9_93699),
    inference(cnf_transformation,[],[f366]) ).

tcf(c_97,plain,
    genls(c_tptpcol_11_93764,c_tptpcol_10_93700),
    inference(cnf_transformation,[],[f368]) ).

tcf(c_99,plain,
    genls(c_tptpcol_12_93765,c_tptpcol_11_93764),
    inference(cnf_transformation,[],[f370]) ).

tcf(c_101,plain,
    genls(c_tptpcol_13_93766,c_tptpcol_12_93765),
    inference(cnf_transformation,[],[f372]) ).

tcf(c_103,plain,
    genls(c_tptpcol_14_93774,c_tptpcol_13_93766),
    inference(cnf_transformation,[],[f374]) ).

tcf(c_105,plain,
    genls(c_tptpcol_15_93775,c_tptpcol_14_93774),
    inference(cnf_transformation,[],[f376]) ).

tcf(c_107,plain,
    disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536),
    inference(cnf_transformation,[],[f378]) ).

tcf(c_122,plain,
    ! [X0: $i,X1: $i] :
      ( disjointwith(X1,X0)
      | ~ disjointwith(X0,X1) ),
    inference(cnf_transformation,[],[f393]) ).

tcf(c_123,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( disjointwith(X2,X0)
      | ~ disjointwith(X2,X1)
      | ~ genls(X0,X1) ),
    inference(cnf_transformation,[],[f394]) ).

tcf(c_124,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( disjointwith(X0,X2)
      | ~ disjointwith(X1,X2)
      | ~ genls(X0,X1) ),
    inference(cnf_transformation,[],[f395]) ).

tcf(c_206,negated_conjecture,
    ~ disjointwith(c_tptpcol_15_93775,c_tptpcol_13_18664),
    inference(cnf_transformation,[],[f478]) ).

tcf(c_4680,plain,
    ! [X0_iProver_isa_2: iProver_isa_2,X1_iProver_isa_2: iProver_isa_2,X2_iProver_isa_2: iProver_isa_2] :
      ( disjointwith(X0_iProver_isa_2,X2_iProver_isa_2)
      | ~ disjointwith(X1_iProver_isa_2,X2_iProver_isa_2)
      | ~ genls(X0_iProver_isa_2,X1_iProver_isa_2) ),
    inference(subtyping,[status(esa)],[c_124]) ).

tcf(c_4681,plain,
    ! [X0_iProver_isa_2: iProver_isa_2,X1_iProver_isa_2: iProver_isa_2,X2_iProver_isa_2: iProver_isa_2] :
      ( disjointwith(X2_iProver_isa_2,X0_iProver_isa_2)
      | ~ disjointwith(X2_iProver_isa_2,X1_iProver_isa_2)
      | ~ genls(X0_iProver_isa_2,X1_iProver_isa_2) ),
    inference(subtyping,[status(esa)],[c_123]) ).

tcf(c_4682,plain,
    ! [X0_iProver_isa_2: iProver_isa_2,X1_iProver_isa_2: iProver_isa_2] :
      ( disjointwith(X1_iProver_isa_2,X0_iProver_isa_2)
      | ~ disjointwith(X0_iProver_isa_2,X1_iProver_isa_2) ),
    inference(subtyping,[status(esa)],[c_122]) ).

tcf(c_4686,plain,
    disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536),
    inference(subtyping,[status(esa)],[c_107]) ).

tcf(c_4687,plain,
    genls(c_tptpcol_15_93775,c_tptpcol_14_93774),
    inference(subtyping,[status(esa)],[c_105]) ).

tcf(c_4688,plain,
    genls(c_tptpcol_14_93774,c_tptpcol_13_93766),
    inference(subtyping,[status(esa)],[c_103]) ).

tcf(c_4689,plain,
    genls(c_tptpcol_13_93766,c_tptpcol_12_93765),
    inference(subtyping,[status(esa)],[c_101]) ).

tcf(c_4690,plain,
    genls(c_tptpcol_12_93765,c_tptpcol_11_93764),
    inference(subtyping,[status(esa)],[c_99]) ).

tcf(c_4691,plain,
    genls(c_tptpcol_11_93764,c_tptpcol_10_93700),
    inference(subtyping,[status(esa)],[c_97]) ).

tcf(c_4692,plain,
    genls(c_tptpcol_10_93700,c_tptpcol_9_93699),
    inference(subtyping,[status(esa)],[c_95]) ).

tcf(c_4693,plain,
    genls(c_tptpcol_9_93699,c_tptpcol_8_93698),
    inference(subtyping,[status(esa)],[c_93]) ).

tcf(c_4694,plain,
    genls(c_tptpcol_8_93698,c_tptpcol_7_93186),
    inference(subtyping,[status(esa)],[c_91]) ).

tcf(c_4695,plain,
    genls(c_tptpcol_7_93186,c_tptpcol_6_92162),
    inference(subtyping,[status(esa)],[c_89]) ).

tcf(c_4696,plain,
    genls(c_tptpcol_6_92162,c_tptpcol_5_90114),
    inference(subtyping,[status(esa)],[c_87]) ).

tcf(c_4697,plain,
    genls(c_tptpcol_5_90114,c_tptpcol_4_90113),
    inference(subtyping,[status(esa)],[c_85]) ).

tcf(c_4698,plain,
    genls(c_tptpcol_4_90113,c_tptpcol_3_81921),
    inference(subtyping,[status(esa)],[c_83]) ).

tcf(c_4699,plain,
    genls(c_tptpcol_3_81921,c_tptpcol_2_65537),
    inference(subtyping,[status(esa)],[c_81]) ).

tcf(c_4700,plain,
    genls(c_tptpcol_2_65537,c_tptpcol_1_65536),
    inference(subtyping,[status(esa)],[c_79]) ).

tcf(c_4701,plain,
    genls(c_tptpcol_13_18664,c_tptpcol_12_18663),
    inference(subtyping,[status(esa)],[c_77]) ).

tcf(c_4702,plain,
    genls(c_tptpcol_12_18663,c_tptpcol_11_18631),
    inference(subtyping,[status(esa)],[c_75]) ).

tcf(c_4703,plain,
    genls(c_tptpcol_11_18631,c_tptpcol_10_18567),
    inference(subtyping,[status(esa)],[c_73]) ).

tcf(c_4704,plain,
    genls(c_tptpcol_10_18567,c_tptpcol_9_18439),
    inference(subtyping,[status(esa)],[c_71]) ).

tcf(c_4705,plain,
    genls(c_tptpcol_9_18439,c_tptpcol_8_18438),
    inference(subtyping,[status(esa)],[c_69]) ).

tcf(c_4706,plain,
    genls(c_tptpcol_8_18438,c_tptpcol_7_18437),
    inference(subtyping,[status(esa)],[c_67]) ).

tcf(c_4707,plain,
    genls(c_tptpcol_7_18437,c_tptpcol_6_18436),
    inference(subtyping,[status(esa)],[c_65]) ).

tcf(c_4708,plain,
    genls(c_tptpcol_6_18436,c_tptpcol_5_16388),
    inference(subtyping,[status(esa)],[c_63]) ).

tcf(c_4709,plain,
    genls(c_tptpcol_5_16388,c_tptpcol_4_16387),
    inference(subtyping,[status(esa)],[c_61]) ).

tcf(c_4710,plain,
    genls(c_tptpcol_4_16387,c_tptpcol_3_16386),
    inference(subtyping,[status(esa)],[c_59]) ).

tcf(c_4711,plain,
    genls(c_tptpcol_3_16386,c_tptpcol_2_2),
    inference(subtyping,[status(esa)],[c_57]) ).

tcf(c_4712,plain,
    genls(c_tptpcol_2_2,c_tptpcol_1_1),
    inference(subtyping,[status(esa)],[c_55]) ).

tcf(c_4790,plain,
    ! [X0_iProver_isa_2: iProver_isa_2] :
      ( disjointwith(c_tptpcol_10_93700,X0_iProver_isa_2)
      | ~ disjointwith(c_tptpcol_9_93699,X0_iProver_isa_2) ),
    inference(resolution,[status(thm)],[c_4680,c_4692]) ).

tcf(c_4792,plain,
    ! [X0_iProver_isa_2: iProver_isa_2] :
      ( disjointwith(c_tptpcol_11_93764,X0_iProver_isa_2)
      | ~ disjointwith(c_tptpcol_10_93700,X0_iProver_isa_2) ),
    inference(resolution,[status(thm)],[c_4680,c_4691]) ).

tcf(c_4794,plain,
    ! [X0_iProver_isa_2: iProver_isa_2] :
      ( disjointwith(c_tptpcol_12_93765,X0_iProver_isa_2)
      | ~ disjointwith(c_tptpcol_11_93764,X0_iProver_isa_2) ),
    inference(resolution,[status(thm)],[c_4680,c_4690]) ).

tcf(c_4796,plain,
    ! [X0_iProver_isa_2: iProver_isa_2] :
      ( disjointwith(c_tptpcol_13_93766,X0_iProver_isa_2)
      | ~ disjointwith(c_tptpcol_12_93765,X0_iProver_isa_2) ),
    inference(resolution,[status(thm)],[c_4680,c_4689]) ).

tcf(c_4798,plain,
    ! [X0_iProver_isa_2: iProver_isa_2] :
      ( disjointwith(c_tptpcol_14_93774,X0_iProver_isa_2)
      | ~ disjointwith(c_tptpcol_13_93766,X0_iProver_isa_2) ),
    inference(resolution,[status(thm)],[c_4680,c_4688]) ).

tcf(c_4800,plain,
    ! [X0_iProver_isa_2: iProver_isa_2] :
      ( disjointwith(c_tptpcol_15_93775,X0_iProver_isa_2)
      | ~ disjointwith(c_tptpcol_14_93774,X0_iProver_isa_2) ),
    inference(resolution,[status(thm)],[c_4680,c_4687]) ).

tcf(c_4802,plain,
    ! [X0_iProver_isa_2: iProver_isa_2] :
      ( disjointwith(X0_iProver_isa_2,c_tptpcol_13_18664)
      | ~ disjointwith(X0_iProver_isa_2,c_tptpcol_12_18663) ),
    inference(resolution,[status(thm)],[c_4681,c_4701]) ).

tcf(c_4817,plain,
    ! [X0_iProver_isa_2: iProver_isa_2] :
      ( disjointwith(c_tptpcol_9_93699,X0_iProver_isa_2)
      | ~ disjointwith(c_tptpcol_8_93698,X0_iProver_isa_2) ),
    inference(resolution,[status(thm)],[c_4693,c_4680]) ).

tcf(c_4821,plain,
    ! [X0_iProver_isa_2: iProver_isa_2] :
      ( disjointwith(c_tptpcol_8_93698,X0_iProver_isa_2)
      | ~ disjointwith(c_tptpcol_7_93186,X0_iProver_isa_2) ),
    inference(resolution,[status(thm)],[c_4694,c_4680]) ).

tcf(c_4825,plain,
    ! [X0_iProver_isa_2: iProver_isa_2] :
      ( disjointwith(c_tptpcol_7_93186,X0_iProver_isa_2)
      | ~ disjointwith(c_tptpcol_6_92162,X0_iProver_isa_2) ),
    inference(resolution,[status(thm)],[c_4695,c_4680]) ).

tcf(c_4829,plain,
    ! [X0_iProver_isa_2: iProver_isa_2] :
      ( disjointwith(c_tptpcol_6_92162,X0_iProver_isa_2)
      | ~ disjointwith(c_tptpcol_5_90114,X0_iProver_isa_2) ),
    inference(resolution,[status(thm)],[c_4696,c_4680]) ).

tcf(c_4833,plain,
    ! [X0_iProver_isa_2: iProver_isa_2] :
      ( disjointwith(c_tptpcol_5_90114,X0_iProver_isa_2)
      | ~ disjointwith(c_tptpcol_4_90113,X0_iProver_isa_2) ),
    inference(resolution,[status(thm)],[c_4697,c_4680]) ).

tcf(c_4837,plain,
    ! [X0_iProver_isa_2: iProver_isa_2] :
      ( disjointwith(c_tptpcol_4_90113,X0_iProver_isa_2)
      | ~ disjointwith(c_tptpcol_3_81921,X0_iProver_isa_2) ),
    inference(resolution,[status(thm)],[c_4698,c_4680]) ).

tcf(c_4841,plain,
    ! [X0_iProver_isa_2: iProver_isa_2] :
      ( disjointwith(c_tptpcol_3_81921,X0_iProver_isa_2)
      | ~ disjointwith(c_tptpcol_2_65537,X0_iProver_isa_2) ),
    inference(resolution,[status(thm)],[c_4699,c_4680]) ).

tcf(c_4844,plain,
    ! [X0_iProver_isa_2: iProver_isa_2] :
      ( disjointwith(X0_iProver_isa_2,c_tptpcol_2_65537)
      | ~ disjointwith(X0_iProver_isa_2,c_tptpcol_1_65536) ),
    inference(resolution,[status(thm)],[c_4700,c_4681]) ).

tcf(c_4848,plain,
    ! [X0_iProver_isa_2: iProver_isa_2] :
      ( disjointwith(X0_iProver_isa_2,c_tptpcol_12_18663)
      | ~ disjointwith(X0_iProver_isa_2,c_tptpcol_11_18631) ),
    inference(resolution,[status(thm)],[c_4702,c_4681]) ).

tcf(c_4852,plain,
    ! [X0_iProver_isa_2: iProver_isa_2] :
      ( disjointwith(X0_iProver_isa_2,c_tptpcol_11_18631)
      | ~ disjointwith(X0_iProver_isa_2,c_tptpcol_10_18567) ),
    inference(resolution,[status(thm)],[c_4703,c_4681]) ).

tcf(c_4856,plain,
    ! [X0_iProver_isa_2: iProver_isa_2] :
      ( disjointwith(X0_iProver_isa_2,c_tptpcol_10_18567)
      | ~ disjointwith(X0_iProver_isa_2,c_tptpcol_9_18439) ),
    inference(resolution,[status(thm)],[c_4704,c_4681]) ).

tcf(c_4860,plain,
    ! [X0_iProver_isa_2: iProver_isa_2] :
      ( disjointwith(X0_iProver_isa_2,c_tptpcol_9_18439)
      | ~ disjointwith(X0_iProver_isa_2,c_tptpcol_8_18438) ),
    inference(resolution,[status(thm)],[c_4705,c_4681]) ).

tcf(c_4864,plain,
    ! [X0_iProver_isa_2: iProver_isa_2] :
      ( disjointwith(X0_iProver_isa_2,c_tptpcol_8_18438)
      | ~ disjointwith(X0_iProver_isa_2,c_tptpcol_7_18437) ),
    inference(resolution,[status(thm)],[c_4706,c_4681]) ).

tcf(c_4868,plain,
    ! [X0_iProver_isa_2: iProver_isa_2] :
      ( disjointwith(X0_iProver_isa_2,c_tptpcol_7_18437)
      | ~ disjointwith(X0_iProver_isa_2,c_tptpcol_6_18436) ),
    inference(resolution,[status(thm)],[c_4707,c_4681]) ).

tcf(c_4872,plain,
    ! [X0_iProver_isa_2: iProver_isa_2] :
      ( disjointwith(X0_iProver_isa_2,c_tptpcol_6_18436)
      | ~ disjointwith(X0_iProver_isa_2,c_tptpcol_5_16388) ),
    inference(resolution,[status(thm)],[c_4708,c_4681]) ).

tcf(c_4876,plain,
    disjointwith(c_tptpcol_1_1,c_tptpcol_2_65537),
    inference(resolution,[status(thm)],[c_4844,c_4686]) ).

tcf(c_4877,plain,
    disjointwith(c_tptpcol_2_65537,c_tptpcol_1_1),
    inference(resolution,[status(thm)],[c_4876,c_4682]) ).

tcf(c_4884,plain,
    disjointwith(c_tptpcol_3_81921,c_tptpcol_1_1),
    inference(resolution,[status(thm)],[c_4877,c_4841]) ).

tcf(c_4892,plain,
    disjointwith(c_tptpcol_4_90113,c_tptpcol_1_1),
    inference(resolution,[status(thm)],[c_4884,c_4837]) ).

tcf(c_4900,plain,
    disjointwith(c_tptpcol_5_90114,c_tptpcol_1_1),
    inference(resolution,[status(thm)],[c_4892,c_4833]) ).

tcf(c_4908,plain,
    disjointwith(c_tptpcol_6_92162,c_tptpcol_1_1),
    inference(resolution,[status(thm)],[c_4900,c_4829]) ).

tcf(c_4909,plain,
    ! [X0_iProver_isa_2: iProver_isa_2] :
      ( disjointwith(X0_iProver_isa_2,c_tptpcol_5_16388)
      | ~ disjointwith(X0_iProver_isa_2,c_tptpcol_4_16387) ),
    inference(resolution,[status(thm)],[c_4709,c_4681]) ).

tcf(c_4913,plain,
    ! [X0_iProver_isa_2: iProver_isa_2] :
      ( disjointwith(X0_iProver_isa_2,c_tptpcol_4_16387)
      | ~ disjointwith(X0_iProver_isa_2,c_tptpcol_3_16386) ),
    inference(resolution,[status(thm)],[c_4710,c_4681]) ).

tcf(c_4917,plain,
    ! [X0_iProver_isa_2: iProver_isa_2] :
      ( disjointwith(X0_iProver_isa_2,c_tptpcol_3_16386)
      | ~ disjointwith(X0_iProver_isa_2,c_tptpcol_2_2) ),
    inference(resolution,[status(thm)],[c_4711,c_4681]) ).

tcf(c_4921,plain,
    ! [X0_iProver_isa_2: iProver_isa_2] :
      ( disjointwith(X0_iProver_isa_2,c_tptpcol_2_2)
      | ~ disjointwith(X0_iProver_isa_2,c_tptpcol_1_1) ),
    inference(resolution,[status(thm)],[c_4712,c_4681]) ).

tcf(c_4932,plain,
    disjointwith(c_tptpcol_7_93186,c_tptpcol_1_1),
    inference(resolution,[status(thm)],[c_4908,c_4825]) ).

tcf(c_4940,plain,
    disjointwith(c_tptpcol_8_93698,c_tptpcol_1_1),
    inference(resolution,[status(thm)],[c_4932,c_4821]) ).

tcf(c_4948,plain,
    disjointwith(c_tptpcol_9_93699,c_tptpcol_1_1),
    inference(resolution,[status(thm)],[c_4940,c_4817]) ).

tcf(c_4956,plain,
    disjointwith(c_tptpcol_10_93700,c_tptpcol_1_1),
    inference(resolution,[status(thm)],[c_4948,c_4790]) ).

tcf(c_4964,plain,
    disjointwith(c_tptpcol_11_93764,c_tptpcol_1_1),
    inference(resolution,[status(thm)],[c_4956,c_4792]) ).

tcf(c_4972,plain,
    disjointwith(c_tptpcol_12_93765,c_tptpcol_1_1),
    inference(resolution,[status(thm)],[c_4964,c_4794]) ).

tcf(c_4980,plain,
    disjointwith(c_tptpcol_13_93766,c_tptpcol_1_1),
    inference(resolution,[status(thm)],[c_4972,c_4796]) ).

tcf(c_4988,plain,
    disjointwith(c_tptpcol_14_93774,c_tptpcol_1_1),
    inference(resolution,[status(thm)],[c_4980,c_4798]) ).

tcf(c_4996,plain,
    disjointwith(c_tptpcol_15_93775,c_tptpcol_1_1),
    inference(resolution,[status(thm)],[c_4988,c_4800]) ).

tcf(c_5080,plain,
    disjointwith(c_tptpcol_15_93775,c_tptpcol_2_2),
    inference(resolution,[status(thm)],[c_4921,c_4996]) ).

tcf(c_5154,plain,
    disjointwith(c_tptpcol_15_93775,c_tptpcol_3_16386),
    inference(resolution,[status(thm)],[c_5080,c_4917]) ).

tcf(c_5408,plain,
    disjointwith(c_tptpcol_15_93775,c_tptpcol_4_16387),
    inference(resolution,[status(thm)],[c_5154,c_4913]) ).

tcf(c_5845,plain,
    disjointwith(c_tptpcol_15_93775,c_tptpcol_5_16388),
    inference(resolution,[status(thm)],[c_5408,c_4909]) ).

tcf(c_6100,plain,
    disjointwith(c_tptpcol_15_93775,c_tptpcol_6_18436),
    inference(resolution,[status(thm)],[c_5845,c_4872]) ).

tcf(c_6368,plain,
    disjointwith(c_tptpcol_15_93775,c_tptpcol_7_18437),
    inference(resolution,[status(thm)],[c_6100,c_4868]) ).

tcf(c_6628,plain,
    disjointwith(c_tptpcol_15_93775,c_tptpcol_8_18438),
    inference(resolution,[status(thm)],[c_6368,c_4864]) ).

tcf(c_6918,plain,
    disjointwith(c_tptpcol_15_93775,c_tptpcol_9_18439),
    inference(resolution,[status(thm)],[c_6628,c_4860]) ).

tcf(c_7241,plain,
    disjointwith(c_tptpcol_15_93775,c_tptpcol_10_18567),
    inference(resolution,[status(thm)],[c_6918,c_4856]) ).

tcf(c_7644,plain,
    disjointwith(c_tptpcol_15_93775,c_tptpcol_11_18631),
    inference(resolution,[status(thm)],[c_7241,c_4852]) ).

tcf(c_8222,plain,
    disjointwith(c_tptpcol_15_93775,c_tptpcol_12_18663),
    inference(resolution,[status(thm)],[c_7644,c_4848]) ).

tcf(c_8764,plain,
    disjointwith(c_tptpcol_15_93775,c_tptpcol_13_18664),
    inference(resolution,[status(thm)],[c_8222,c_4802]) ).

tcf(c_8765,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_8764,c_206]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR039+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37  % Computer : n002.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Fri Sep 25 08:26:04 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41  Running first-order theorem proving
% 0.11/0.41  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.43  
% 0.11/0.43  % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43  
% 0.11/0.43  % Detected problem language: tptp
% 0.11/0.44  % Proving...
% 3.75/1.30  % SZS status Started for theBenchmark.p
% 3.75/1.30  % SZS status Theorem for theBenchmark.p
% 3.75/1.30  
% 3.75/1.30  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.75/1.30  
% 3.75/1.30  % ------  iProver source info
% 3.75/1.30  
% 3.75/1.30  % git: date: 2026-07-19 20:42:38 +0200
% 3.75/1.30  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.75/1.30  % git: non_committed_changes: false
% 3.75/1.30  
% 3.75/1.30  % ------ Parsing...
% 3.75/1.30  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 3.75/1.30  
% 3.75/1.30  % ------ Preprocessing... sf_s  rm: 21 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 3.75/1.30  
% 3.75/1.30  % ------ Preprocessing...% ------  preprocesses with Option_epr_horn
% 3.75/1.30   gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.75/1.30  % ------ Proving...
% 3.75/1.30  % ------ Problem Properties 
% 3.75/1.30  
% 3.75/1.30  % 
% 3.75/1.30  % clauses                               107
% 3.75/1.30  % conjectures                           1
% 3.75/1.30  % EPR                                   107
% 3.75/1.30  % Horn                                  107
% 3.75/1.30  % unary                                 29
% 3.75/1.30  % binary                                73
% 3.75/1.30  % lits                                  190
% 3.75/1.30  % lits eq                               0
% 3.75/1.30  % fd_pure                               0
% 3.75/1.30  % fd_pseudo                             0
% 3.75/1.30  % fd_cond                               0
% 3.75/1.30  % fd_pseudo_cond                        0
% 3.75/1.30  % AC symbols                            0
% 3.75/1.30  
% 3.75/1.30  % ------ Schedule EPR Horn non eq is on
% 3.75/1.30  
% 3.75/1.30  % ------ no equalities: superposition off 
% 3.75/1.30  
% 3.75/1.30  % ------ Option_epr_horn Time Limit: Unbounded
% 3.75/1.30  
% 3.75/1.30  
% 3.75/1.30  % ------ 
% 3.75/1.30  % Current options:
% 3.75/1.30  % ------ 
% 3.75/1.30  
% 3.75/1.30  
% 3.75/1.30  % 
% 3.75/1.30  
% 3.75/1.30  % ------ Proving...
% 3.75/1.30  % 
% 3.75/1.30  
% 3.75/1.30  % SZS status Theorem for theBenchmark.p
% 3.75/1.30  
% 3.75/1.30  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.75/1.30  
% 3.75/1.30  
%------------------------------------------------------------------------------