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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : CSR039+2 : TPTP v9.2.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n022.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May  5 04:14:17 PM UTC 2026

% Result   : Theorem 8.53s 5.29s
% Output   : CNFRefutation 8.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   32
% Syntax   : Number of formulae    :  123 (  82 unt;   0 def)
%            Number of atoms       :  173 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   93 (  43   ~;  40   |;   4   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   33 (  33 usr;  30 con; 0-2 aty)
%            Number of variables   :   59 (   0 sgn  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ax1_1112,axiom,
    ! [X15,X6,X16] :
      ( ( genls(X15,X6)
        & genls(X16,X15) )
     => genls(X16,X6) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_1112) ).

fof(ax1_351,axiom,
    genls(c_tptpcol_6_18436,c_tptpcol_5_16388),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_351) ).

fof(ax1_1122,axiom,
    ! [X15,X6,X16] :
      ( ( disjointwith(X15,X6)
        & genls(X16,X15) )
     => disjointwith(X16,X6) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_1122) ).

fof(ax1_483,axiom,
    genls(c_tptpcol_7_18437,c_tptpcol_6_18436),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_483) ).

fof(ax1_23,axiom,
    genls(c_tptpcol_5_16388,c_tptpcol_4_16387),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_23) ).

fof(ax1_152,axiom,
    disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_152) ).

fof(ax1_109,axiom,
    genls(c_tptpcol_12_18663,c_tptpcol_11_18631),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_109) ).

fof(ax1_353,axiom,
    genls(c_tptpcol_8_18438,c_tptpcol_7_18437),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_353) ).

fof(ax1_145,axiom,
    genls(c_tptpcol_2_2,c_tptpcol_1_1),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_145) ).

fof(ax1_285,axiom,
    genls(c_tptpcol_4_16387,c_tptpcol_3_16386),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_285) ).

fof(ax1_208,axiom,
    genls(c_tptpcol_13_18664,c_tptpcol_12_18663),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_208) ).

fof(ax1_175,axiom,
    genls(c_tptpcol_11_18631,c_tptpcol_10_18567),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_175) ).

fof(ax1_255,axiom,
    genls(c_tptpcol_9_18439,c_tptpcol_8_18438),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_255) ).

fof(ax1_385,axiom,
    genls(c_tptpcol_3_16386,c_tptpcol_2_2),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_385) ).

fof(ax1_43,axiom,
    genls(c_tptpcol_10_18567,c_tptpcol_9_18439),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_43) ).

fof(ax1_14,axiom,
    genls(c_tptpcol_7_93186,c_tptpcol_6_92162),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_14) ).

fof(ax1_41,axiom,
    genls(c_tptpcol_3_81921,c_tptpcol_2_65537),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_41) ).

fof(ax1_182,axiom,
    genls(c_tptpcol_15_93775,c_tptpcol_14_93774),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_182) ).

fof(ax1_345,axiom,
    genls(c_tptpcol_8_93698,c_tptpcol_7_93186),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_345) ).

fof(ax1_417,axiom,
    genls(c_tptpcol_6_92162,c_tptpcol_5_90114),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_417) ).

fof(ax1_376,axiom,
    genls(c_tptpcol_4_90113,c_tptpcol_3_81921),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_376) ).

fof(ax1_348,axiom,
    genls(c_tptpcol_2_65537,c_tptpcol_1_65536),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_348) ).

fof(ax1_191,axiom,
    genls(c_tptpcol_14_93774,c_tptpcol_13_93766),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_191) ).

fof(ax1_78,axiom,
    genls(c_tptpcol_13_93766,c_tptpcol_12_93765),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_78) ).

fof(ax1_370,axiom,
    genls(c_tptpcol_9_93699,c_tptpcol_8_93698),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_370) ).

fof(ax1_1121,axiom,
    ! [X5,X15,X16] :
      ( ( disjointwith(X5,X15)
        & genls(X16,X15) )
     => disjointwith(X5,X16) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_1121) ).

fof(ax1_476,axiom,
    genls(c_tptpcol_5_90114,c_tptpcol_4_90113),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_476) ).

fof(ax1_72,axiom,
    genls(c_tptpcol_12_93765,c_tptpcol_11_93764),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_72) ).

fof(ax1_379,axiom,
    genls(c_tptpcol_10_93700,c_tptpcol_9_93699),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_379) ).

fof(ax1_372,axiom,
    genls(c_tptpcol_11_93764,c_tptpcol_10_93700),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_372) ).

fof(query89,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/sandbox/benchmark/theBenchmark.p',query89) ).

fof(ax1_1120,axiom,
    ! [X13,X14] :
      ( disjointwith(X13,X14)
     => disjointwith(X14,X13) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_1120) ).

fof(c_0_32,plain,
    ! [X2227,X2228,X2229] :
      ( ~ genls(X2227,X2228)
      | ~ genls(X2229,X2227)
      | genls(X2229,X2228) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_1112])]) ).

cnf(c_0_33,plain,
    ( genls(X3,X2)
    | ~ genls(X1,X2)
    | ~ genls(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_34,plain,
    genls(c_tptpcol_6_18436,c_tptpcol_5_16388),
    inference(split_conjunct,[status(thm)],[ax1_351]) ).

fof(c_0_35,plain,
    ! [X2246,X2247,X2248] :
      ( ~ disjointwith(X2246,X2247)
      | ~ genls(X2248,X2246)
      | disjointwith(X2248,X2247) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_1122])]) ).

cnf(c_0_36,plain,
    genls(c_tptpcol_7_18437,c_tptpcol_6_18436),
    inference(split_conjunct,[status(thm)],[ax1_483]) ).

cnf(c_0_37,plain,
    ( genls(c_tptpcol_6_18436,X1)
    | ~ genls(c_tptpcol_5_16388,X1) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_38,plain,
    genls(c_tptpcol_5_16388,c_tptpcol_4_16387),
    inference(split_conjunct,[status(thm)],[ax1_23]) ).

cnf(c_0_39,plain,
    ( disjointwith(X3,X2)
    | ~ disjointwith(X1,X2)
    | ~ genls(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_40,plain,
    disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536),
    inference(split_conjunct,[status(thm)],[ax1_152]) ).

cnf(c_0_41,plain,
    genls(c_tptpcol_12_18663,c_tptpcol_11_18631),
    inference(split_conjunct,[status(thm)],[ax1_109]) ).

cnf(c_0_42,plain,
    genls(c_tptpcol_8_18438,c_tptpcol_7_18437),
    inference(split_conjunct,[status(thm)],[ax1_353]) ).

cnf(c_0_43,plain,
    ( genls(c_tptpcol_7_18437,X1)
    | ~ genls(c_tptpcol_6_18436,X1) ),
    inference(spm,[status(thm)],[c_0_33,c_0_36]) ).

cnf(c_0_44,plain,
    genls(c_tptpcol_6_18436,c_tptpcol_4_16387),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_45,plain,
    ( disjointwith(X1,c_tptpcol_1_65536)
    | ~ genls(X1,c_tptpcol_1_1) ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_46,plain,
    genls(c_tptpcol_2_2,c_tptpcol_1_1),
    inference(split_conjunct,[status(thm)],[ax1_145]) ).

cnf(c_0_47,plain,
    genls(c_tptpcol_4_16387,c_tptpcol_3_16386),
    inference(split_conjunct,[status(thm)],[ax1_285]) ).

cnf(c_0_48,plain,
    genls(c_tptpcol_13_18664,c_tptpcol_12_18663),
    inference(split_conjunct,[status(thm)],[ax1_208]) ).

cnf(c_0_49,plain,
    ( genls(c_tptpcol_12_18663,X1)
    | ~ genls(c_tptpcol_11_18631,X1) ),
    inference(spm,[status(thm)],[c_0_33,c_0_41]) ).

cnf(c_0_50,plain,
    genls(c_tptpcol_11_18631,c_tptpcol_10_18567),
    inference(split_conjunct,[status(thm)],[ax1_175]) ).

cnf(c_0_51,plain,
    genls(c_tptpcol_9_18439,c_tptpcol_8_18438),
    inference(split_conjunct,[status(thm)],[ax1_255]) ).

cnf(c_0_52,plain,
    ( genls(c_tptpcol_8_18438,X1)
    | ~ genls(c_tptpcol_7_18437,X1) ),
    inference(spm,[status(thm)],[c_0_33,c_0_42]) ).

cnf(c_0_53,plain,
    genls(c_tptpcol_7_18437,c_tptpcol_4_16387),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_54,plain,
    disjointwith(c_tptpcol_2_2,c_tptpcol_1_65536),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_55,plain,
    ( genls(c_tptpcol_4_16387,X1)
    | ~ genls(c_tptpcol_3_16386,X1) ),
    inference(spm,[status(thm)],[c_0_33,c_0_47]) ).

cnf(c_0_56,plain,
    genls(c_tptpcol_3_16386,c_tptpcol_2_2),
    inference(split_conjunct,[status(thm)],[ax1_385]) ).

cnf(c_0_57,plain,
    ( genls(c_tptpcol_13_18664,X1)
    | ~ genls(c_tptpcol_12_18663,X1) ),
    inference(spm,[status(thm)],[c_0_33,c_0_48]) ).

cnf(c_0_58,plain,
    genls(c_tptpcol_12_18663,c_tptpcol_10_18567),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_59,plain,
    genls(c_tptpcol_10_18567,c_tptpcol_9_18439),
    inference(split_conjunct,[status(thm)],[ax1_43]) ).

cnf(c_0_60,plain,
    ( genls(c_tptpcol_9_18439,X1)
    | ~ genls(c_tptpcol_8_18438,X1) ),
    inference(spm,[status(thm)],[c_0_33,c_0_51]) ).

cnf(c_0_61,plain,
    genls(c_tptpcol_8_18438,c_tptpcol_4_16387),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_62,plain,
    genls(c_tptpcol_7_93186,c_tptpcol_6_92162),
    inference(split_conjunct,[status(thm)],[ax1_14]) ).

cnf(c_0_63,plain,
    ( disjointwith(X1,c_tptpcol_1_65536)
    | ~ genls(X1,c_tptpcol_2_2) ),
    inference(spm,[status(thm)],[c_0_39,c_0_54]) ).

cnf(c_0_64,plain,
    genls(c_tptpcol_4_16387,c_tptpcol_2_2),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_65,plain,
    genls(c_tptpcol_13_18664,c_tptpcol_10_18567),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_66,plain,
    ( genls(c_tptpcol_10_18567,X1)
    | ~ genls(c_tptpcol_9_18439,X1) ),
    inference(spm,[status(thm)],[c_0_33,c_0_59]) ).

cnf(c_0_67,plain,
    genls(c_tptpcol_9_18439,c_tptpcol_4_16387),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_68,plain,
    genls(c_tptpcol_3_81921,c_tptpcol_2_65537),
    inference(split_conjunct,[status(thm)],[ax1_41]) ).

cnf(c_0_69,plain,
    genls(c_tptpcol_15_93775,c_tptpcol_14_93774),
    inference(split_conjunct,[status(thm)],[ax1_182]) ).

cnf(c_0_70,plain,
    genls(c_tptpcol_8_93698,c_tptpcol_7_93186),
    inference(split_conjunct,[status(thm)],[ax1_345]) ).

cnf(c_0_71,plain,
    ( genls(c_tptpcol_7_93186,X1)
    | ~ genls(c_tptpcol_6_92162,X1) ),
    inference(spm,[status(thm)],[c_0_33,c_0_62]) ).

cnf(c_0_72,plain,
    genls(c_tptpcol_6_92162,c_tptpcol_5_90114),
    inference(split_conjunct,[status(thm)],[ax1_417]) ).

cnf(c_0_73,plain,
    disjointwith(c_tptpcol_4_16387,c_tptpcol_1_65536),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_74,plain,
    ( genls(c_tptpcol_13_18664,X1)
    | ~ genls(c_tptpcol_10_18567,X1) ),
    inference(spm,[status(thm)],[c_0_33,c_0_65]) ).

cnf(c_0_75,plain,
    genls(c_tptpcol_10_18567,c_tptpcol_4_16387),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_76,plain,
    genls(c_tptpcol_4_90113,c_tptpcol_3_81921),
    inference(split_conjunct,[status(thm)],[ax1_376]) ).

cnf(c_0_77,plain,
    ( genls(c_tptpcol_3_81921,X1)
    | ~ genls(c_tptpcol_2_65537,X1) ),
    inference(spm,[status(thm)],[c_0_33,c_0_68]) ).

cnf(c_0_78,plain,
    genls(c_tptpcol_2_65537,c_tptpcol_1_65536),
    inference(split_conjunct,[status(thm)],[ax1_348]) ).

cnf(c_0_79,plain,
    ( genls(c_tptpcol_15_93775,X1)
    | ~ genls(c_tptpcol_14_93774,X1) ),
    inference(spm,[status(thm)],[c_0_33,c_0_69]) ).

cnf(c_0_80,plain,
    genls(c_tptpcol_14_93774,c_tptpcol_13_93766),
    inference(split_conjunct,[status(thm)],[ax1_191]) ).

cnf(c_0_81,plain,
    genls(c_tptpcol_13_93766,c_tptpcol_12_93765),
    inference(split_conjunct,[status(thm)],[ax1_78]) ).

cnf(c_0_82,plain,
    genls(c_tptpcol_9_93699,c_tptpcol_8_93698),
    inference(split_conjunct,[status(thm)],[ax1_370]) ).

cnf(c_0_83,plain,
    ( genls(c_tptpcol_8_93698,X1)
    | ~ genls(c_tptpcol_7_93186,X1) ),
    inference(spm,[status(thm)],[c_0_33,c_0_70]) ).

cnf(c_0_84,plain,
    genls(c_tptpcol_7_93186,c_tptpcol_5_90114),
    inference(spm,[status(thm)],[c_0_71,c_0_72]) ).

fof(c_0_85,plain,
    ! [X2243,X2244,X2245] :
      ( ~ disjointwith(X2243,X2244)
      | ~ genls(X2245,X2244)
      | disjointwith(X2243,X2245) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_1121])]) ).

cnf(c_0_86,plain,
    ( disjointwith(X1,c_tptpcol_1_65536)
    | ~ genls(X1,c_tptpcol_4_16387) ),
    inference(spm,[status(thm)],[c_0_39,c_0_73]) ).

cnf(c_0_87,plain,
    genls(c_tptpcol_13_18664,c_tptpcol_4_16387),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_88,plain,
    genls(c_tptpcol_5_90114,c_tptpcol_4_90113),
    inference(split_conjunct,[status(thm)],[ax1_476]) ).

cnf(c_0_89,plain,
    ( genls(c_tptpcol_4_90113,X1)
    | ~ genls(c_tptpcol_3_81921,X1) ),
    inference(spm,[status(thm)],[c_0_33,c_0_76]) ).

cnf(c_0_90,plain,
    genls(c_tptpcol_3_81921,c_tptpcol_1_65536),
    inference(spm,[status(thm)],[c_0_77,c_0_78]) ).

cnf(c_0_91,plain,
    genls(c_tptpcol_15_93775,c_tptpcol_13_93766),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_92,plain,
    ( genls(c_tptpcol_13_93766,X1)
    | ~ genls(c_tptpcol_12_93765,X1) ),
    inference(spm,[status(thm)],[c_0_33,c_0_81]) ).

cnf(c_0_93,plain,
    genls(c_tptpcol_12_93765,c_tptpcol_11_93764),
    inference(split_conjunct,[status(thm)],[ax1_72]) ).

cnf(c_0_94,plain,
    genls(c_tptpcol_10_93700,c_tptpcol_9_93699),
    inference(split_conjunct,[status(thm)],[ax1_379]) ).

cnf(c_0_95,plain,
    ( genls(c_tptpcol_9_93699,X1)
    | ~ genls(c_tptpcol_8_93698,X1) ),
    inference(spm,[status(thm)],[c_0_33,c_0_82]) ).

cnf(c_0_96,plain,
    genls(c_tptpcol_8_93698,c_tptpcol_5_90114),
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

cnf(c_0_97,plain,
    ( disjointwith(X1,X3)
    | ~ disjointwith(X1,X2)
    | ~ genls(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_85]) ).

cnf(c_0_98,plain,
    disjointwith(c_tptpcol_13_18664,c_tptpcol_1_65536),
    inference(spm,[status(thm)],[c_0_86,c_0_87]) ).

cnf(c_0_99,plain,
    ( genls(c_tptpcol_5_90114,X1)
    | ~ genls(c_tptpcol_4_90113,X1) ),
    inference(spm,[status(thm)],[c_0_33,c_0_88]) ).

cnf(c_0_100,plain,
    genls(c_tptpcol_4_90113,c_tptpcol_1_65536),
    inference(spm,[status(thm)],[c_0_89,c_0_90]) ).

cnf(c_0_101,plain,
    ( genls(c_tptpcol_15_93775,X1)
    | ~ genls(c_tptpcol_13_93766,X1) ),
    inference(spm,[status(thm)],[c_0_33,c_0_91]) ).

cnf(c_0_102,plain,
    genls(c_tptpcol_13_93766,c_tptpcol_11_93764),
    inference(spm,[status(thm)],[c_0_92,c_0_93]) ).

cnf(c_0_103,plain,
    genls(c_tptpcol_11_93764,c_tptpcol_10_93700),
    inference(split_conjunct,[status(thm)],[ax1_372]) ).

cnf(c_0_104,plain,
    ( genls(c_tptpcol_10_93700,X1)
    | ~ genls(c_tptpcol_9_93699,X1) ),
    inference(spm,[status(thm)],[c_0_33,c_0_94]) ).

cnf(c_0_105,plain,
    genls(c_tptpcol_9_93699,c_tptpcol_5_90114),
    inference(spm,[status(thm)],[c_0_95,c_0_96]) ).

cnf(c_0_106,plain,
    ( disjointwith(c_tptpcol_13_18664,X1)
    | ~ genls(X1,c_tptpcol_1_65536) ),
    inference(spm,[status(thm)],[c_0_97,c_0_98]) ).

cnf(c_0_107,plain,
    genls(c_tptpcol_5_90114,c_tptpcol_1_65536),
    inference(spm,[status(thm)],[c_0_99,c_0_100]) ).

cnf(c_0_108,plain,
    genls(c_tptpcol_15_93775,c_tptpcol_11_93764),
    inference(spm,[status(thm)],[c_0_101,c_0_102]) ).

cnf(c_0_109,plain,
    ( genls(c_tptpcol_11_93764,X1)
    | ~ genls(c_tptpcol_10_93700,X1) ),
    inference(spm,[status(thm)],[c_0_33,c_0_103]) ).

cnf(c_0_110,plain,
    genls(c_tptpcol_10_93700,c_tptpcol_5_90114),
    inference(spm,[status(thm)],[c_0_104,c_0_105]) ).

cnf(c_0_111,plain,
    disjointwith(c_tptpcol_13_18664,c_tptpcol_5_90114),
    inference(spm,[status(thm)],[c_0_106,c_0_107]) ).

cnf(c_0_112,plain,
    ( genls(c_tptpcol_15_93775,X1)
    | ~ genls(c_tptpcol_11_93764,X1) ),
    inference(spm,[status(thm)],[c_0_33,c_0_108]) ).

cnf(c_0_113,plain,
    genls(c_tptpcol_11_93764,c_tptpcol_5_90114),
    inference(spm,[status(thm)],[c_0_109,c_0_110]) ).

fof(c_0_114,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(assume_negation,[status(cth)],[query89]) ).

fof(c_0_115,plain,
    ! [X2241,X2242] :
      ( ~ disjointwith(X2241,X2242)
      | disjointwith(X2242,X2241) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_1120])]) ).

cnf(c_0_116,plain,
    ( disjointwith(c_tptpcol_13_18664,X1)
    | ~ genls(X1,c_tptpcol_5_90114) ),
    inference(spm,[status(thm)],[c_0_97,c_0_111]) ).

cnf(c_0_117,plain,
    genls(c_tptpcol_15_93775,c_tptpcol_5_90114),
    inference(spm,[status(thm)],[c_0_112,c_0_113]) ).

fof(c_0_118,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(fof_nnf,[status(thm)],[c_0_114]) ).

cnf(c_0_119,plain,
    ( disjointwith(X2,X1)
    | ~ disjointwith(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_115]) ).

cnf(c_0_120,plain,
    disjointwith(c_tptpcol_13_18664,c_tptpcol_15_93775),
    inference(spm,[status(thm)],[c_0_116,c_0_117]) ).

cnf(c_0_121,negated_conjecture,
    ~ disjointwith(c_tptpcol_15_93775,c_tptpcol_13_18664),
    inference(split_conjunct,[status(thm)],[c_0_118]) ).

cnf(c_0_122,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_121]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : CSR039+2 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33  % Computer : n022.cluster.edu
% 0.16/0.33  % Model    : x86_64 x86_64
% 0.16/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33  % Memory   : 8042.1875MB
% 0.16/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33  % CPULimit   : 300
% 0.16/0.33  % WCLimit    : 300
% 0.16/0.33  % DateTime   : Mon May  4 16:33:06 EDT 2026
% 0.16/0.33  % CPUTime    : 
% 0.16/0.34  % start to proof: theBenchmark
% 8.53/5.29  % Version  : CSE_E---1.7
% 8.53/5.29  % Problem  : theBenchmark.p
% 8.53/5.29  % SZS status Theorem for theBenchmark.p
% 8.53/5.29  % SZS output start CNFRefutation
% See solution above
% 8.63/5.30  % Total time : 4.480s
%------------------------------------------------------------------------------