↑ Up

E---3.5.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : CSR049+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n011.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 : Thu Sep 24 12:16:14 PM UTC 2026

% Result   : Theorem 0.22s 15.66s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :   35
% Syntax   : Number of formulae    :  136 (  94 unt;   0 def)
%            Number of atoms       :  184 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  117 (  69   ~;  40   |;   3   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   33 (  33 usr;  33 con; 0-0 aty)
%            Number of variables   :   54 (   0 sgn  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(query49,conjecture,
    ( mtvisible(c_unitedstatesgeographypeoplemt)
   => disjointwith(c_tptpcol_16_26926,c_tptpcol_16_92269) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query49) ).

fof(just86,axiom,
    ! [X13,X9,X14] :
      ( ( genls(X14,X13)
        & disjointwith(X13,X9) )
     => disjointwith(X14,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just86) ).

fof(just35,axiom,
    genls(c_tptpcol_16_26926,c_tptpcol_15_26925),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just35) ).

fof(just33,axiom,
    genls(c_tptpcol_15_26925,c_tptpcol_14_26921),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just33) ).

fof(just31,axiom,
    genls(c_tptpcol_14_26921,c_tptpcol_13_26920),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just31) ).

fof(just29,axiom,
    genls(c_tptpcol_13_26920,c_tptpcol_12_26919),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just29) ).

fof(just27,axiom,
    genls(c_tptpcol_12_26919,c_tptpcol_11_26887),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just27) ).

fof(just25,axiom,
    genls(c_tptpcol_11_26887,c_tptpcol_10_26886),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just25) ).

fof(just23,axiom,
    genls(c_tptpcol_10_26886,c_tptpcol_9_26885),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just23) ).

fof(just21,axiom,
    genls(c_tptpcol_9_26885,c_tptpcol_8_26629),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just21) ).

fof(just19,axiom,
    genls(c_tptpcol_8_26629,c_tptpcol_7_26628),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just19) ).

fof(just17,axiom,
    genls(c_tptpcol_7_26628,c_tptpcol_6_26627),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just17) ).

fof(just15,axiom,
    genls(c_tptpcol_6_26627,c_tptpcol_5_24579),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just15) ).

fof(just13,axiom,
    genls(c_tptpcol_5_24579,c_tptpcol_4_24578),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just13) ).

fof(just11,axiom,
    genls(c_tptpcol_4_24578,c_tptpcol_3_16386),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just11) ).

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

fof(just85,axiom,
    ! [X7,X13,X14] :
      ( ( genls(X14,X13)
        & disjointwith(X7,X13) )
     => disjointwith(X7,X14) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just85) ).

fof(just65,axiom,
    genls(c_tptpcol_16_92269,c_tptpcol_15_92268),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just65) ).

fof(just63,axiom,
    genls(c_tptpcol_15_92268,c_tptpcol_14_92264),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just63) ).

fof(just61,axiom,
    genls(c_tptpcol_14_92264,c_tptpcol_13_92263),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just61) ).

fof(just59,axiom,
    genls(c_tptpcol_13_92263,c_tptpcol_12_92262),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just59) ).

fof(just57,axiom,
    genls(c_tptpcol_12_92262,c_tptpcol_11_92230),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just57) ).

fof(just55,axiom,
    genls(c_tptpcol_11_92230,c_tptpcol_10_92166),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just55) ).

fof(just53,axiom,
    genls(c_tptpcol_10_92166,c_tptpcol_9_92165),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just53) ).

fof(just51,axiom,
    genls(c_tptpcol_9_92165,c_tptpcol_8_92164),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just51) ).

fof(just49,axiom,
    genls(c_tptpcol_8_92164,c_tptpcol_7_92163),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just49) ).

fof(just84,axiom,
    ! [X10,X11] :
      ( disjointwith(X10,X11)
     => disjointwith(X11,X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just84) ).

fof(just47,axiom,
    genls(c_tptpcol_7_92163,c_tptpcol_6_92162),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just47) ).

fof(just37,axiom,
    genls(c_tptpcol_2_65537,c_tptpcol_1_65536),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just37) ).

fof(just67,axiom,
    disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just67) ).

fof(just45,axiom,
    genls(c_tptpcol_6_92162,c_tptpcol_5_90114),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just45) ).

fof(just43,axiom,
    genls(c_tptpcol_5_90114,c_tptpcol_4_90113),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just43) ).

fof(just7,axiom,
    genls(c_tptpcol_2_2,c_tptpcol_1_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just7) ).

fof(just39,axiom,
    genls(c_tptpcol_3_81921,c_tptpcol_2_65537),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just39) ).

fof(just41,axiom,
    genls(c_tptpcol_4_90113,c_tptpcol_3_81921),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just41) ).

fof(c_0_35,negated_conjecture,
    ~ ( mtvisible(c_unitedstatesgeographypeoplemt)
     => disjointwith(c_tptpcol_16_26926,c_tptpcol_16_92269) ),
    inference(assume_negation,[status(cth)],[query49]) ).

fof(c_0_36,plain,
    ! [X86,X87,X88] :
      ( disjointwith(X88,X87)
      | ~ genls(X88,X86)
      | ~ disjointwith(X86,X87) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just86])])]) ).

fof(c_0_37,negated_conjecture,
    ( ~ disjointwith(c_tptpcol_16_26926,c_tptpcol_16_92269)
    & mtvisible(c_unitedstatesgeographypeoplemt) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])]) ).

cnf(c_0_38,plain,
    ( ~ genls(X3,X1)
    | ~ disjointwith(X1,X2)
    | disjointwith(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_39,plain,
    genls(c_tptpcol_16_26926,c_tptpcol_15_26925),
    inference(split_conjunct,[status(thm)],[just35]) ).

cnf(c_0_40,negated_conjecture,
    ~ disjointwith(c_tptpcol_16_26926,c_tptpcol_16_92269),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_41,plain,
    ( ~ disjointwith(c_tptpcol_15_26925,X1)
    | disjointwith(c_tptpcol_16_26926,X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_42,plain,
    genls(c_tptpcol_15_26925,c_tptpcol_14_26921),
    inference(split_conjunct,[status(thm)],[just33]) ).

cnf(c_0_43,negated_conjecture,
    ~ disjointwith(c_tptpcol_15_26925,c_tptpcol_16_92269),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_44,plain,
    ( ~ disjointwith(c_tptpcol_14_26921,X1)
    | disjointwith(c_tptpcol_15_26925,X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_42]) ).

cnf(c_0_45,plain,
    genls(c_tptpcol_14_26921,c_tptpcol_13_26920),
    inference(split_conjunct,[status(thm)],[just31]) ).

cnf(c_0_46,negated_conjecture,
    ~ disjointwith(c_tptpcol_14_26921,c_tptpcol_16_92269),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_47,plain,
    ( ~ disjointwith(c_tptpcol_13_26920,X1)
    | disjointwith(c_tptpcol_14_26921,X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_45]) ).

cnf(c_0_48,plain,
    genls(c_tptpcol_13_26920,c_tptpcol_12_26919),
    inference(split_conjunct,[status(thm)],[just29]) ).

cnf(c_0_49,negated_conjecture,
    ~ disjointwith(c_tptpcol_13_26920,c_tptpcol_16_92269),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_50,plain,
    ( ~ disjointwith(c_tptpcol_12_26919,X1)
    | disjointwith(c_tptpcol_13_26920,X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_48]) ).

cnf(c_0_51,plain,
    genls(c_tptpcol_12_26919,c_tptpcol_11_26887),
    inference(split_conjunct,[status(thm)],[just27]) ).

cnf(c_0_52,negated_conjecture,
    ~ disjointwith(c_tptpcol_12_26919,c_tptpcol_16_92269),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_53,plain,
    ( ~ disjointwith(c_tptpcol_11_26887,X1)
    | disjointwith(c_tptpcol_12_26919,X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_51]) ).

cnf(c_0_54,plain,
    genls(c_tptpcol_11_26887,c_tptpcol_10_26886),
    inference(split_conjunct,[status(thm)],[just25]) ).

cnf(c_0_55,negated_conjecture,
    ~ disjointwith(c_tptpcol_11_26887,c_tptpcol_16_92269),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_56,plain,
    ( ~ disjointwith(c_tptpcol_10_26886,X1)
    | disjointwith(c_tptpcol_11_26887,X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_54]) ).

cnf(c_0_57,plain,
    genls(c_tptpcol_10_26886,c_tptpcol_9_26885),
    inference(split_conjunct,[status(thm)],[just23]) ).

cnf(c_0_58,negated_conjecture,
    ~ disjointwith(c_tptpcol_10_26886,c_tptpcol_16_92269),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_59,plain,
    ( ~ disjointwith(c_tptpcol_9_26885,X1)
    | disjointwith(c_tptpcol_10_26886,X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_57]) ).

cnf(c_0_60,plain,
    genls(c_tptpcol_9_26885,c_tptpcol_8_26629),
    inference(split_conjunct,[status(thm)],[just21]) ).

cnf(c_0_61,negated_conjecture,
    ~ disjointwith(c_tptpcol_9_26885,c_tptpcol_16_92269),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_62,plain,
    ( ~ disjointwith(c_tptpcol_8_26629,X1)
    | disjointwith(c_tptpcol_9_26885,X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_60]) ).

cnf(c_0_63,plain,
    genls(c_tptpcol_8_26629,c_tptpcol_7_26628),
    inference(split_conjunct,[status(thm)],[just19]) ).

cnf(c_0_64,negated_conjecture,
    ~ disjointwith(c_tptpcol_8_26629,c_tptpcol_16_92269),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_65,plain,
    ( ~ disjointwith(c_tptpcol_7_26628,X1)
    | disjointwith(c_tptpcol_8_26629,X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_63]) ).

cnf(c_0_66,plain,
    genls(c_tptpcol_7_26628,c_tptpcol_6_26627),
    inference(split_conjunct,[status(thm)],[just17]) ).

cnf(c_0_67,negated_conjecture,
    ~ disjointwith(c_tptpcol_7_26628,c_tptpcol_16_92269),
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_68,plain,
    ( ~ disjointwith(c_tptpcol_6_26627,X1)
    | disjointwith(c_tptpcol_7_26628,X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_66]) ).

cnf(c_0_69,plain,
    genls(c_tptpcol_6_26627,c_tptpcol_5_24579),
    inference(split_conjunct,[status(thm)],[just15]) ).

cnf(c_0_70,negated_conjecture,
    ~ disjointwith(c_tptpcol_6_26627,c_tptpcol_16_92269),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_71,plain,
    ( ~ disjointwith(c_tptpcol_5_24579,X1)
    | disjointwith(c_tptpcol_6_26627,X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_69]) ).

cnf(c_0_72,plain,
    genls(c_tptpcol_5_24579,c_tptpcol_4_24578),
    inference(split_conjunct,[status(thm)],[just13]) ).

cnf(c_0_73,negated_conjecture,
    ~ disjointwith(c_tptpcol_5_24579,c_tptpcol_16_92269),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

cnf(c_0_74,plain,
    ( ~ disjointwith(c_tptpcol_4_24578,X1)
    | disjointwith(c_tptpcol_5_24579,X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_72]) ).

cnf(c_0_75,plain,
    genls(c_tptpcol_4_24578,c_tptpcol_3_16386),
    inference(split_conjunct,[status(thm)],[just11]) ).

cnf(c_0_76,negated_conjecture,
    ~ disjointwith(c_tptpcol_4_24578,c_tptpcol_16_92269),
    inference(spm,[status(thm)],[c_0_73,c_0_74]) ).

cnf(c_0_77,plain,
    ( ~ disjointwith(c_tptpcol_3_16386,X1)
    | disjointwith(c_tptpcol_4_24578,X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_75]) ).

cnf(c_0_78,plain,
    genls(c_tptpcol_3_16386,c_tptpcol_2_2),
    inference(split_conjunct,[status(thm)],[just9]) ).

fof(c_0_79,plain,
    ! [X83,X84,X85] :
      ( disjointwith(X83,X85)
      | ~ genls(X85,X84)
      | ~ disjointwith(X83,X84) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just85])])]) ).

cnf(c_0_80,negated_conjecture,
    ~ disjointwith(c_tptpcol_3_16386,c_tptpcol_16_92269),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_81,plain,
    ( ~ disjointwith(c_tptpcol_2_2,X1)
    | disjointwith(c_tptpcol_3_16386,X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_78]) ).

cnf(c_0_82,plain,
    ( ~ genls(X3,X2)
    | ~ disjointwith(X1,X2)
    | disjointwith(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_79]) ).

cnf(c_0_83,plain,
    genls(c_tptpcol_16_92269,c_tptpcol_15_92268),
    inference(split_conjunct,[status(thm)],[just65]) ).

cnf(c_0_84,negated_conjecture,
    ~ disjointwith(c_tptpcol_2_2,c_tptpcol_16_92269),
    inference(spm,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_85,plain,
    ( ~ disjointwith(X1,c_tptpcol_15_92268)
    | disjointwith(X1,c_tptpcol_16_92269) ),
    inference(spm,[status(thm)],[c_0_82,c_0_83]) ).

cnf(c_0_86,plain,
    genls(c_tptpcol_15_92268,c_tptpcol_14_92264),
    inference(split_conjunct,[status(thm)],[just63]) ).

cnf(c_0_87,negated_conjecture,
    ~ disjointwith(c_tptpcol_2_2,c_tptpcol_15_92268),
    inference(spm,[status(thm)],[c_0_84,c_0_85]) ).

cnf(c_0_88,plain,
    ( ~ disjointwith(X1,c_tptpcol_14_92264)
    | disjointwith(X1,c_tptpcol_15_92268) ),
    inference(spm,[status(thm)],[c_0_82,c_0_86]) ).

cnf(c_0_89,plain,
    genls(c_tptpcol_14_92264,c_tptpcol_13_92263),
    inference(split_conjunct,[status(thm)],[just61]) ).

cnf(c_0_90,negated_conjecture,
    ~ disjointwith(c_tptpcol_2_2,c_tptpcol_14_92264),
    inference(spm,[status(thm)],[c_0_87,c_0_88]) ).

cnf(c_0_91,plain,
    ( ~ disjointwith(X1,c_tptpcol_13_92263)
    | disjointwith(X1,c_tptpcol_14_92264) ),
    inference(spm,[status(thm)],[c_0_82,c_0_89]) ).

cnf(c_0_92,plain,
    genls(c_tptpcol_13_92263,c_tptpcol_12_92262),
    inference(split_conjunct,[status(thm)],[just59]) ).

cnf(c_0_93,negated_conjecture,
    ~ disjointwith(c_tptpcol_2_2,c_tptpcol_13_92263),
    inference(spm,[status(thm)],[c_0_90,c_0_91]) ).

cnf(c_0_94,plain,
    ( ~ disjointwith(X1,c_tptpcol_12_92262)
    | disjointwith(X1,c_tptpcol_13_92263) ),
    inference(spm,[status(thm)],[c_0_82,c_0_92]) ).

cnf(c_0_95,plain,
    genls(c_tptpcol_12_92262,c_tptpcol_11_92230),
    inference(split_conjunct,[status(thm)],[just57]) ).

cnf(c_0_96,negated_conjecture,
    ~ disjointwith(c_tptpcol_2_2,c_tptpcol_12_92262),
    inference(spm,[status(thm)],[c_0_93,c_0_94]) ).

cnf(c_0_97,plain,
    ( ~ disjointwith(X1,c_tptpcol_11_92230)
    | disjointwith(X1,c_tptpcol_12_92262) ),
    inference(spm,[status(thm)],[c_0_82,c_0_95]) ).

cnf(c_0_98,plain,
    genls(c_tptpcol_11_92230,c_tptpcol_10_92166),
    inference(split_conjunct,[status(thm)],[just55]) ).

cnf(c_0_99,negated_conjecture,
    ~ disjointwith(c_tptpcol_2_2,c_tptpcol_11_92230),
    inference(spm,[status(thm)],[c_0_96,c_0_97]) ).

cnf(c_0_100,plain,
    ( ~ disjointwith(X1,c_tptpcol_10_92166)
    | disjointwith(X1,c_tptpcol_11_92230) ),
    inference(spm,[status(thm)],[c_0_82,c_0_98]) ).

cnf(c_0_101,plain,
    genls(c_tptpcol_10_92166,c_tptpcol_9_92165),
    inference(split_conjunct,[status(thm)],[just53]) ).

cnf(c_0_102,negated_conjecture,
    ~ disjointwith(c_tptpcol_2_2,c_tptpcol_10_92166),
    inference(spm,[status(thm)],[c_0_99,c_0_100]) ).

cnf(c_0_103,plain,
    ( ~ disjointwith(X1,c_tptpcol_9_92165)
    | disjointwith(X1,c_tptpcol_10_92166) ),
    inference(spm,[status(thm)],[c_0_82,c_0_101]) ).

cnf(c_0_104,plain,
    genls(c_tptpcol_9_92165,c_tptpcol_8_92164),
    inference(split_conjunct,[status(thm)],[just51]) ).

cnf(c_0_105,negated_conjecture,
    ~ disjointwith(c_tptpcol_2_2,c_tptpcol_9_92165),
    inference(spm,[status(thm)],[c_0_102,c_0_103]) ).

cnf(c_0_106,plain,
    ( ~ disjointwith(X1,c_tptpcol_8_92164)
    | disjointwith(X1,c_tptpcol_9_92165) ),
    inference(spm,[status(thm)],[c_0_82,c_0_104]) ).

cnf(c_0_107,plain,
    genls(c_tptpcol_8_92164,c_tptpcol_7_92163),
    inference(split_conjunct,[status(thm)],[just49]) ).

fof(c_0_108,plain,
    ! [X81,X82] :
      ( disjointwith(X82,X81)
      | ~ disjointwith(X81,X82) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just84])])]) ).

cnf(c_0_109,negated_conjecture,
    ~ disjointwith(c_tptpcol_2_2,c_tptpcol_8_92164),
    inference(spm,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_110,plain,
    ( ~ disjointwith(X1,c_tptpcol_7_92163)
    | disjointwith(X1,c_tptpcol_8_92164) ),
    inference(spm,[status(thm)],[c_0_82,c_0_107]) ).

cnf(c_0_111,plain,
    genls(c_tptpcol_7_92163,c_tptpcol_6_92162),
    inference(split_conjunct,[status(thm)],[just47]) ).

cnf(c_0_112,plain,
    genls(c_tptpcol_2_65537,c_tptpcol_1_65536),
    inference(split_conjunct,[status(thm)],[just37]) ).

cnf(c_0_113,plain,
    ( ~ disjointwith(X1,X2)
    | disjointwith(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_108]) ).

cnf(c_0_114,plain,
    disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536),
    inference(split_conjunct,[status(thm)],[just67]) ).

cnf(c_0_115,negated_conjecture,
    ~ disjointwith(c_tptpcol_2_2,c_tptpcol_7_92163),
    inference(spm,[status(thm)],[c_0_109,c_0_110]) ).

cnf(c_0_116,plain,
    ( ~ disjointwith(X1,c_tptpcol_6_92162)
    | disjointwith(X1,c_tptpcol_7_92163) ),
    inference(spm,[status(thm)],[c_0_82,c_0_111]) ).

cnf(c_0_117,plain,
    genls(c_tptpcol_6_92162,c_tptpcol_5_90114),
    inference(split_conjunct,[status(thm)],[just45]) ).

cnf(c_0_118,plain,
    ( ~ disjointwith(c_tptpcol_1_65536,X1)
    | disjointwith(c_tptpcol_2_65537,X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_112]) ).

cnf(c_0_119,plain,
    disjointwith(c_tptpcol_1_65536,c_tptpcol_1_1),
    inference(spm,[status(thm)],[c_0_113,c_0_114]) ).

cnf(c_0_120,negated_conjecture,
    ~ disjointwith(c_tptpcol_2_2,c_tptpcol_6_92162),
    inference(spm,[status(thm)],[c_0_115,c_0_116]) ).

cnf(c_0_121,plain,
    ( ~ disjointwith(X1,c_tptpcol_5_90114)
    | disjointwith(X1,c_tptpcol_6_92162) ),
    inference(spm,[status(thm)],[c_0_82,c_0_117]) ).

cnf(c_0_122,plain,
    genls(c_tptpcol_5_90114,c_tptpcol_4_90113),
    inference(split_conjunct,[status(thm)],[just43]) ).

cnf(c_0_123,plain,
    genls(c_tptpcol_2_2,c_tptpcol_1_1),
    inference(split_conjunct,[status(thm)],[just7]) ).

cnf(c_0_124,plain,
    genls(c_tptpcol_3_81921,c_tptpcol_2_65537),
    inference(split_conjunct,[status(thm)],[just39]) ).

cnf(c_0_125,plain,
    disjointwith(c_tptpcol_2_65537,c_tptpcol_1_1),
    inference(spm,[status(thm)],[c_0_118,c_0_119]) ).

cnf(c_0_126,negated_conjecture,
    ~ disjointwith(c_tptpcol_2_2,c_tptpcol_5_90114),
    inference(spm,[status(thm)],[c_0_120,c_0_121]) ).

cnf(c_0_127,plain,
    ( ~ disjointwith(X1,c_tptpcol_4_90113)
    | disjointwith(X1,c_tptpcol_5_90114) ),
    inference(spm,[status(thm)],[c_0_82,c_0_122]) ).

cnf(c_0_128,plain,
    genls(c_tptpcol_4_90113,c_tptpcol_3_81921),
    inference(split_conjunct,[status(thm)],[just41]) ).

cnf(c_0_129,plain,
    ( ~ disjointwith(c_tptpcol_1_1,X1)
    | disjointwith(c_tptpcol_2_2,X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_123]) ).

cnf(c_0_130,plain,
    ( ~ disjointwith(X1,c_tptpcol_2_65537)
    | disjointwith(X1,c_tptpcol_3_81921) ),
    inference(spm,[status(thm)],[c_0_82,c_0_124]) ).

cnf(c_0_131,plain,
    disjointwith(c_tptpcol_1_1,c_tptpcol_2_65537),
    inference(spm,[status(thm)],[c_0_113,c_0_125]) ).

cnf(c_0_132,negated_conjecture,
    ~ disjointwith(c_tptpcol_2_2,c_tptpcol_4_90113),
    inference(spm,[status(thm)],[c_0_126,c_0_127]) ).

cnf(c_0_133,plain,
    ( ~ disjointwith(X1,c_tptpcol_3_81921)
    | disjointwith(X1,c_tptpcol_4_90113) ),
    inference(spm,[status(thm)],[c_0_82,c_0_128]) ).

cnf(c_0_134,plain,
    disjointwith(c_tptpcol_2_2,c_tptpcol_3_81921),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_131])]) ).

cnf(c_0_135,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_134])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR049+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.34   % Computer : n011.cluster.edu
% 0.08/0.34   % Model    : x86_64 x86_64
% 0.08/0.34   % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34   % Memory   : 8046.5625MB
% 0.08/0.34   % OS       : Linux 6.8.0-71-generic
% 0.10/15.52  % CPULimit : 300
% 0.10/15.52  % WCLimit  : 300
% 0.10/15.52  % DateTime : Mon Sep 21 14:38:22 UTC 2026
% 0.10/15.52  % CPUTime  : 
% 0.10/15.52  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/15.57  Running first-order theorem proving
% 0.10/15.57  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/15.65  % Version: 3.5.1
% 0.22/15.65  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.22/15.65  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/15.65  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.22/15.65  % Starting new_bool_3 with 300s (1) cores
% 0.22/15.65  % Starting new_bool_1 with 300s (1) cores
% 0.22/15.65  % Starting sh5l with 300s (1) cores
% 0.22/15.65  % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2522922 completed with status 0
% 0.22/15.65  % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.22/15.65  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.22/15.65  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/15.65  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.22/15.65  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.22/15.65  % No SInE strategy applied
% 0.22/15.65  % Search class: FHHNF-FFMM00-SFFFFFNN
% 0.22/15.65  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/15.65  % Starting SubtermCWHack with 136s (1) cores
% 0.22/15.65  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.22/15.65  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.22/15.65  % Starting new_bool_3 with 136s (1) cores
% 0.22/15.66  % Starting new_bool_1 with 136s (1) cores
% 0.22/15.66  % SubtermCWHack with pid 2522929 completed with status 0
% 0.22/15.66  % Result found by SubtermCWHack
% 0.22/15.66  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.22/15.66  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/15.66  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.22/15.66  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.22/15.66  % No SInE strategy applied
% 0.22/15.66  % Search class: FHHNF-FFMM00-SFFFFFNN
% 0.22/15.66  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/15.66  % Starting SubtermCWHack with 136s (1) cores
% 0.22/15.66  % Preprocessing time       : 0.003 s
% 0.22/15.66  
% 0.22/15.66  % Proof found!
% 0.22/15.66  % SZS status Theorem
% 0.22/15.66  % SZS output start CNFRefutation
% See solution above
% 0.22/15.66  % Parsed axioms                        : 177
% 0.22/15.66  % Removed by relevancy pruning/SinE    : 0
% 0.22/15.66  % Initial clauses                      : 178
% 0.22/15.66  % Removed in clause preprocessing      : 0
% 0.22/15.66  % Initial clauses in saturation        : 178
% 0.22/15.66  % Processed clauses                    : 1127
% 0.22/15.66  % ...of these trivial                  : 2
% 0.22/15.66  % ...subsumed                          : 228
% 0.22/15.66  % ...remaining for further processing  : 897
% 0.22/15.66  % Other redundant clauses eliminated   : 0
% 0.22/15.66  % Clauses deleted for lack of memory   : 0
% 0.22/15.66  % Backward-subsumed                    : 0
% 0.22/15.66  % Backward-rewritten                   : 1
% 0.22/15.66  % Generated clauses                    : 2163
% 0.22/15.66  % ...of the previous two non-redundant : 1734
% 0.22/15.66  % ...aggressively subsumed             : 0
% 0.22/15.66  % Contextual simplify-reflections      : 0
% 0.22/15.66  % Paramodulations                      : 2163
% 0.22/15.66  % Factorizations                       : 0
% 0.22/15.66  % NegExts                              : 0
% 0.22/15.66  % Equation resolutions                 : 0
% 0.22/15.66  % Disequality decompositions           : 0
% 0.22/15.66  % Total rewrite steps                  : 272
% 0.22/15.66  % ...of those cached                   : 212
% 0.22/15.66  % Propositional unsat checks           : 0
% 0.22/15.66  %    Propositional check models        : 0
% 0.22/15.66  %    Propositional check unsatisfiable : 0
% 0.22/15.66  %    Propositional clauses             : 0
% 0.22/15.66  %    Propositional clauses after purity: 0
% 0.22/15.66  %    Propositional unsat core size     : 0
% 0.22/15.66  %    Propositional preprocessing time  : 0.000
% 0.22/15.66  %    Propositional encoding time       : 0.000
% 0.22/15.66  %    Propositional solver time         : 0.000
% 0.22/15.66  %    Success case prop preproc time    : 0.000
% 0.22/15.66  %    Success case prop encoding time   : 0.000
% 0.22/15.66  %    Success case prop solver time     : 0.000
% 0.22/15.66  % Current number of processed clauses  : 896
% 0.22/15.66  %    Positive orientable unit clauses  : 137
% 0.22/15.66  %    Positive unorientable unit clauses: 0
% 0.22/15.66  %    Negative unit clauses             : 207
% 0.22/15.66  %    Non-unit-clauses                  : 552
% 0.22/15.66  % Current number of unprocessed clauses: 785
% 0.22/15.66  % ...number of literals in the above   : 1658
% 0.22/15.66  % Current number of archived formulas  : 0
% 0.22/15.66  % Current number of archived clauses   : 1
% 0.22/15.66  % Clause-clause subsumption calls (NU) : 54394
% 0.22/15.66  % Rec. Clause-clause subsumption calls : 53542
% 0.22/15.66  % Non-unit clause-clause subsumptions  : 74
% 0.22/15.66  % Unit Clause-clause subsumption calls : 21366
% 0.22/15.66  % Rewrite failures with RHS unbound    : 0
% 0.22/15.66  % BW rewrite match attempts            : 1
% 0.22/15.66  % BW rewrite match successes           : 1
% 0.22/15.66  % Condensation attempts                : 0
% 0.22/15.66  % Condensation successes               : 0
% 0.22/15.66  % Termbank termtop insertions          : 24684
% 0.22/15.66  % Search garbage collected termcells   : 1379
% 0.22/15.66  
% 0.22/15.66  % -------------------------------------------------
% 0.22/15.66  % User time                : 0.062 s
% 0.22/15.66  % System time              : 0.007 s
% 0.22/15.66  % Total time               : 0.070 s
% 0.22/15.66  % Maximum resident set size: 4008 pages
% 0.22/15.66  
% 0.22/15.66  % -------------------------------------------------
% 0.22/15.66  % User time                : 0.233 s
% 0.22/15.66  % System time              : 0.032 s
% 0.22/15.66  % Total time               : 0.265 s
% 0.22/15.66  % Maximum resident set size: 4864 pages
% 0.22/15.66  % E exiting
%------------------------------------------------------------------------------