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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : CSR036+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 : n017.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 12:16:04 PM UTC 2026

% Result   : Theorem 0.31s 0.50s
% Output   : CNFRefutation 0.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   34
% Syntax   : Number of formulae    :  132 (  91 unt;   0 def)
%            Number of atoms       :  179 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  114 (  67   ~;  39   |;   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    :   32 (  32 usr;  32 con; 0-0 aty)
%            Number of variables   :   53 (   0 sgn  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(query36,conjecture,
    ( mtvisible(c_tptp_member974_mt)
   => disjointwith(c_tptpcol_15_22076,c_tptpcol_16_72795) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query36) ).

fof(just85,axiom,
    ! [X13,X9,X14] :
      ( ( genls(X14,X13)
        & disjointwith(X13,X9) )
     => disjointwith(X14,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just85) ).

fof(just32,axiom,
    genls(c_tptpcol_15_22076,c_tptpcol_14_22072),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just32) ).

fof(just30,axiom,
    genls(c_tptpcol_14_22072,c_tptpcol_13_22071),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just30) ).

fof(just28,axiom,
    genls(c_tptpcol_13_22071,c_tptpcol_12_22055),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just28) ).

fof(just26,axiom,
    genls(c_tptpcol_12_22055,c_tptpcol_11_22023),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just26) ).

fof(just24,axiom,
    genls(c_tptpcol_11_22023,c_tptpcol_10_22022),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just24) ).

fof(just22,axiom,
    genls(c_tptpcol_10_22022,c_tptpcol_9_22021),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just22) ).

fof(just20,axiom,
    genls(c_tptpcol_9_22021,c_tptpcol_8_22020),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just20) ).

fof(just18,axiom,
    genls(c_tptpcol_8_22020,c_tptpcol_7_21508),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just18) ).

fof(just16,axiom,
    genls(c_tptpcol_7_21508,c_tptpcol_6_20484),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just16) ).

fof(just14,axiom,
    genls(c_tptpcol_6_20484,c_tptpcol_5_20483),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just14) ).

fof(just12,axiom,
    genls(c_tptpcol_5_20483,c_tptpcol_4_16387),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just12) ).

fof(just10,axiom,
    genls(c_tptpcol_4_16387,c_tptpcol_3_16386),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just10) ).

fof(just8,axiom,
    genls(c_tptpcol_3_16386,c_tptpcol_2_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just8) ).

fof(just84,axiom,
    ! [X7,X13,X14] :
      ( ( genls(X14,X13)
        & disjointwith(X7,X13) )
     => disjointwith(X7,X14) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just84) ).

fof(just62,axiom,
    genls(c_tptpcol_16_72795,c_tptpcol_15_72793),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just62) ).

fof(just60,axiom,
    genls(c_tptpcol_15_72793,c_tptpcol_14_72792),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just60) ).

fof(just58,axiom,
    genls(c_tptpcol_14_72792,c_tptpcol_13_72791),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just58) ).

fof(just56,axiom,
    genls(c_tptpcol_13_72791,c_tptpcol_12_72775),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just56) ).

fof(just54,axiom,
    genls(c_tptpcol_12_72775,c_tptpcol_11_72774),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just54) ).

fof(just52,axiom,
    genls(c_tptpcol_11_72774,c_tptpcol_10_72710),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just52) ).

fof(just50,axiom,
    genls(c_tptpcol_10_72710,c_tptpcol_9_72709),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just50) ).

fof(just48,axiom,
    genls(c_tptpcol_9_72709,c_tptpcol_8_72708),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just48) ).

fof(just46,axiom,
    genls(c_tptpcol_8_72708,c_tptpcol_7_72707),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just46) ).

fof(just83,axiom,
    ! [X10,X11] :
      ( disjointwith(X10,X11)
     => disjointwith(X11,X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just83) ).

fof(just44,axiom,
    genls(c_tptpcol_7_72707,c_tptpcol_6_71683),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just44) ).

fof(just34,axiom,
    genls(c_tptpcol_2_65537,c_tptpcol_1_65536),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just34) ).

fof(just64,axiom,
    disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just64) ).

fof(just42,axiom,
    genls(c_tptpcol_6_71683,c_tptpcol_5_69635),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just42) ).

fof(just40,axiom,
    genls(c_tptpcol_5_69635,c_tptpcol_4_65539),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just40) ).

fof(just6,axiom,
    genls(c_tptpcol_2_2,c_tptpcol_1_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just6) ).

fof(just36,axiom,
    genls(c_tptpcol_3_65538,c_tptpcol_2_65537),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just36) ).

fof(just38,axiom,
    genls(c_tptpcol_4_65539,c_tptpcol_3_65538),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just38) ).

fof(c_0_34,negated_conjecture,
    ~ ( mtvisible(c_tptp_member974_mt)
     => disjointwith(c_tptpcol_15_22076,c_tptpcol_16_72795) ),
    inference(assume_negation,[status(cth)],[query36]) ).

fof(c_0_35,plain,
    ! [X85,X86,X87] :
      ( disjointwith(X87,X86)
      | ~ genls(X87,X85)
      | ~ disjointwith(X85,X86) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just85])])]) ).

fof(c_0_36,negated_conjecture,
    ( ~ disjointwith(c_tptpcol_15_22076,c_tptpcol_16_72795)
    & mtvisible(c_tptp_member974_mt) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])]) ).

cnf(c_0_37,plain,
    ( ~ genls(X3,X1)
    | ~ disjointwith(X1,X2)
    | disjointwith(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_38,plain,
    genls(c_tptpcol_15_22076,c_tptpcol_14_22072),
    inference(split_conjunct,[status(thm)],[just32]) ).

cnf(c_0_39,negated_conjecture,
    ~ disjointwith(c_tptpcol_15_22076,c_tptpcol_16_72795),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_40,plain,
    ( ~ disjointwith(c_tptpcol_14_22072,X1)
    | disjointwith(c_tptpcol_15_22076,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_41,plain,
    genls(c_tptpcol_14_22072,c_tptpcol_13_22071),
    inference(split_conjunct,[status(thm)],[just30]) ).

cnf(c_0_42,negated_conjecture,
    ~ disjointwith(c_tptpcol_14_22072,c_tptpcol_16_72795),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_43,plain,
    ( ~ disjointwith(c_tptpcol_13_22071,X1)
    | disjointwith(c_tptpcol_14_22072,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_41]) ).

cnf(c_0_44,plain,
    genls(c_tptpcol_13_22071,c_tptpcol_12_22055),
    inference(split_conjunct,[status(thm)],[just28]) ).

cnf(c_0_45,negated_conjecture,
    ~ disjointwith(c_tptpcol_13_22071,c_tptpcol_16_72795),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_46,plain,
    ( ~ disjointwith(c_tptpcol_12_22055,X1)
    | disjointwith(c_tptpcol_13_22071,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_44]) ).

cnf(c_0_47,plain,
    genls(c_tptpcol_12_22055,c_tptpcol_11_22023),
    inference(split_conjunct,[status(thm)],[just26]) ).

cnf(c_0_48,negated_conjecture,
    ~ disjointwith(c_tptpcol_12_22055,c_tptpcol_16_72795),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_49,plain,
    ( ~ disjointwith(c_tptpcol_11_22023,X1)
    | disjointwith(c_tptpcol_12_22055,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_47]) ).

cnf(c_0_50,plain,
    genls(c_tptpcol_11_22023,c_tptpcol_10_22022),
    inference(split_conjunct,[status(thm)],[just24]) ).

cnf(c_0_51,negated_conjecture,
    ~ disjointwith(c_tptpcol_11_22023,c_tptpcol_16_72795),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_52,plain,
    ( ~ disjointwith(c_tptpcol_10_22022,X1)
    | disjointwith(c_tptpcol_11_22023,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_50]) ).

cnf(c_0_53,plain,
    genls(c_tptpcol_10_22022,c_tptpcol_9_22021),
    inference(split_conjunct,[status(thm)],[just22]) ).

cnf(c_0_54,negated_conjecture,
    ~ disjointwith(c_tptpcol_10_22022,c_tptpcol_16_72795),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_55,plain,
    ( ~ disjointwith(c_tptpcol_9_22021,X1)
    | disjointwith(c_tptpcol_10_22022,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_53]) ).

cnf(c_0_56,plain,
    genls(c_tptpcol_9_22021,c_tptpcol_8_22020),
    inference(split_conjunct,[status(thm)],[just20]) ).

cnf(c_0_57,negated_conjecture,
    ~ disjointwith(c_tptpcol_9_22021,c_tptpcol_16_72795),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_58,plain,
    ( ~ disjointwith(c_tptpcol_8_22020,X1)
    | disjointwith(c_tptpcol_9_22021,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_56]) ).

cnf(c_0_59,plain,
    genls(c_tptpcol_8_22020,c_tptpcol_7_21508),
    inference(split_conjunct,[status(thm)],[just18]) ).

cnf(c_0_60,negated_conjecture,
    ~ disjointwith(c_tptpcol_8_22020,c_tptpcol_16_72795),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_61,plain,
    ( ~ disjointwith(c_tptpcol_7_21508,X1)
    | disjointwith(c_tptpcol_8_22020,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_59]) ).

cnf(c_0_62,plain,
    genls(c_tptpcol_7_21508,c_tptpcol_6_20484),
    inference(split_conjunct,[status(thm)],[just16]) ).

cnf(c_0_63,negated_conjecture,
    ~ disjointwith(c_tptpcol_7_21508,c_tptpcol_16_72795),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_64,plain,
    ( ~ disjointwith(c_tptpcol_6_20484,X1)
    | disjointwith(c_tptpcol_7_21508,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_62]) ).

cnf(c_0_65,plain,
    genls(c_tptpcol_6_20484,c_tptpcol_5_20483),
    inference(split_conjunct,[status(thm)],[just14]) ).

cnf(c_0_66,negated_conjecture,
    ~ disjointwith(c_tptpcol_6_20484,c_tptpcol_16_72795),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_67,plain,
    ( ~ disjointwith(c_tptpcol_5_20483,X1)
    | disjointwith(c_tptpcol_6_20484,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_65]) ).

cnf(c_0_68,plain,
    genls(c_tptpcol_5_20483,c_tptpcol_4_16387),
    inference(split_conjunct,[status(thm)],[just12]) ).

cnf(c_0_69,negated_conjecture,
    ~ disjointwith(c_tptpcol_5_20483,c_tptpcol_16_72795),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_70,plain,
    ( ~ disjointwith(c_tptpcol_4_16387,X1)
    | disjointwith(c_tptpcol_5_20483,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_68]) ).

cnf(c_0_71,plain,
    genls(c_tptpcol_4_16387,c_tptpcol_3_16386),
    inference(split_conjunct,[status(thm)],[just10]) ).

cnf(c_0_72,negated_conjecture,
    ~ disjointwith(c_tptpcol_4_16387,c_tptpcol_16_72795),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_73,plain,
    ( ~ disjointwith(c_tptpcol_3_16386,X1)
    | disjointwith(c_tptpcol_4_16387,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_71]) ).

cnf(c_0_74,plain,
    genls(c_tptpcol_3_16386,c_tptpcol_2_2),
    inference(split_conjunct,[status(thm)],[just8]) ).

fof(c_0_75,plain,
    ! [X82,X83,X84] :
      ( disjointwith(X82,X84)
      | ~ genls(X84,X83)
      | ~ disjointwith(X82,X83) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just84])])]) ).

cnf(c_0_76,negated_conjecture,
    ~ disjointwith(c_tptpcol_3_16386,c_tptpcol_16_72795),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_77,plain,
    ( ~ disjointwith(c_tptpcol_2_2,X1)
    | disjointwith(c_tptpcol_3_16386,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_74]) ).

cnf(c_0_78,plain,
    ( ~ genls(X3,X2)
    | ~ disjointwith(X1,X2)
    | disjointwith(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_75]) ).

cnf(c_0_79,plain,
    genls(c_tptpcol_16_72795,c_tptpcol_15_72793),
    inference(split_conjunct,[status(thm)],[just62]) ).

cnf(c_0_80,negated_conjecture,
    ~ disjointwith(c_tptpcol_2_2,c_tptpcol_16_72795),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_81,plain,
    ( ~ disjointwith(X1,c_tptpcol_15_72793)
    | disjointwith(X1,c_tptpcol_16_72795) ),
    inference(spm,[status(thm)],[c_0_78,c_0_79]) ).

cnf(c_0_82,plain,
    genls(c_tptpcol_15_72793,c_tptpcol_14_72792),
    inference(split_conjunct,[status(thm)],[just60]) ).

cnf(c_0_83,negated_conjecture,
    ~ disjointwith(c_tptpcol_2_2,c_tptpcol_15_72793),
    inference(spm,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_84,plain,
    ( ~ disjointwith(X1,c_tptpcol_14_72792)
    | disjointwith(X1,c_tptpcol_15_72793) ),
    inference(spm,[status(thm)],[c_0_78,c_0_82]) ).

cnf(c_0_85,plain,
    genls(c_tptpcol_14_72792,c_tptpcol_13_72791),
    inference(split_conjunct,[status(thm)],[just58]) ).

cnf(c_0_86,negated_conjecture,
    ~ disjointwith(c_tptpcol_2_2,c_tptpcol_14_72792),
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

cnf(c_0_87,plain,
    ( ~ disjointwith(X1,c_tptpcol_13_72791)
    | disjointwith(X1,c_tptpcol_14_72792) ),
    inference(spm,[status(thm)],[c_0_78,c_0_85]) ).

cnf(c_0_88,plain,
    genls(c_tptpcol_13_72791,c_tptpcol_12_72775),
    inference(split_conjunct,[status(thm)],[just56]) ).

cnf(c_0_89,negated_conjecture,
    ~ disjointwith(c_tptpcol_2_2,c_tptpcol_13_72791),
    inference(spm,[status(thm)],[c_0_86,c_0_87]) ).

cnf(c_0_90,plain,
    ( ~ disjointwith(X1,c_tptpcol_12_72775)
    | disjointwith(X1,c_tptpcol_13_72791) ),
    inference(spm,[status(thm)],[c_0_78,c_0_88]) ).

cnf(c_0_91,plain,
    genls(c_tptpcol_12_72775,c_tptpcol_11_72774),
    inference(split_conjunct,[status(thm)],[just54]) ).

cnf(c_0_92,negated_conjecture,
    ~ disjointwith(c_tptpcol_2_2,c_tptpcol_12_72775),
    inference(spm,[status(thm)],[c_0_89,c_0_90]) ).

cnf(c_0_93,plain,
    ( ~ disjointwith(X1,c_tptpcol_11_72774)
    | disjointwith(X1,c_tptpcol_12_72775) ),
    inference(spm,[status(thm)],[c_0_78,c_0_91]) ).

cnf(c_0_94,plain,
    genls(c_tptpcol_11_72774,c_tptpcol_10_72710),
    inference(split_conjunct,[status(thm)],[just52]) ).

cnf(c_0_95,negated_conjecture,
    ~ disjointwith(c_tptpcol_2_2,c_tptpcol_11_72774),
    inference(spm,[status(thm)],[c_0_92,c_0_93]) ).

cnf(c_0_96,plain,
    ( ~ disjointwith(X1,c_tptpcol_10_72710)
    | disjointwith(X1,c_tptpcol_11_72774) ),
    inference(spm,[status(thm)],[c_0_78,c_0_94]) ).

cnf(c_0_97,plain,
    genls(c_tptpcol_10_72710,c_tptpcol_9_72709),
    inference(split_conjunct,[status(thm)],[just50]) ).

cnf(c_0_98,negated_conjecture,
    ~ disjointwith(c_tptpcol_2_2,c_tptpcol_10_72710),
    inference(spm,[status(thm)],[c_0_95,c_0_96]) ).

cnf(c_0_99,plain,
    ( ~ disjointwith(X1,c_tptpcol_9_72709)
    | disjointwith(X1,c_tptpcol_10_72710) ),
    inference(spm,[status(thm)],[c_0_78,c_0_97]) ).

cnf(c_0_100,plain,
    genls(c_tptpcol_9_72709,c_tptpcol_8_72708),
    inference(split_conjunct,[status(thm)],[just48]) ).

cnf(c_0_101,negated_conjecture,
    ~ disjointwith(c_tptpcol_2_2,c_tptpcol_9_72709),
    inference(spm,[status(thm)],[c_0_98,c_0_99]) ).

cnf(c_0_102,plain,
    ( ~ disjointwith(X1,c_tptpcol_8_72708)
    | disjointwith(X1,c_tptpcol_9_72709) ),
    inference(spm,[status(thm)],[c_0_78,c_0_100]) ).

cnf(c_0_103,plain,
    genls(c_tptpcol_8_72708,c_tptpcol_7_72707),
    inference(split_conjunct,[status(thm)],[just46]) ).

fof(c_0_104,plain,
    ! [X80,X81] :
      ( disjointwith(X81,X80)
      | ~ disjointwith(X80,X81) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just83])])]) ).

cnf(c_0_105,negated_conjecture,
    ~ disjointwith(c_tptpcol_2_2,c_tptpcol_8_72708),
    inference(spm,[status(thm)],[c_0_101,c_0_102]) ).

cnf(c_0_106,plain,
    ( ~ disjointwith(X1,c_tptpcol_7_72707)
    | disjointwith(X1,c_tptpcol_8_72708) ),
    inference(spm,[status(thm)],[c_0_78,c_0_103]) ).

cnf(c_0_107,plain,
    genls(c_tptpcol_7_72707,c_tptpcol_6_71683),
    inference(split_conjunct,[status(thm)],[just44]) ).

cnf(c_0_108,plain,
    genls(c_tptpcol_2_65537,c_tptpcol_1_65536),
    inference(split_conjunct,[status(thm)],[just34]) ).

cnf(c_0_109,plain,
    ( ~ disjointwith(X1,X2)
    | disjointwith(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_104]) ).

cnf(c_0_110,plain,
    disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536),
    inference(split_conjunct,[status(thm)],[just64]) ).

cnf(c_0_111,negated_conjecture,
    ~ disjointwith(c_tptpcol_2_2,c_tptpcol_7_72707),
    inference(spm,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_112,plain,
    ( ~ disjointwith(X1,c_tptpcol_6_71683)
    | disjointwith(X1,c_tptpcol_7_72707) ),
    inference(spm,[status(thm)],[c_0_78,c_0_107]) ).

cnf(c_0_113,plain,
    genls(c_tptpcol_6_71683,c_tptpcol_5_69635),
    inference(split_conjunct,[status(thm)],[just42]) ).

cnf(c_0_114,plain,
    ( ~ disjointwith(c_tptpcol_1_65536,X1)
    | disjointwith(c_tptpcol_2_65537,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_108]) ).

cnf(c_0_115,plain,
    disjointwith(c_tptpcol_1_65536,c_tptpcol_1_1),
    inference(spm,[status(thm)],[c_0_109,c_0_110]) ).

cnf(c_0_116,negated_conjecture,
    ~ disjointwith(c_tptpcol_2_2,c_tptpcol_6_71683),
    inference(spm,[status(thm)],[c_0_111,c_0_112]) ).

cnf(c_0_117,plain,
    ( ~ disjointwith(X1,c_tptpcol_5_69635)
    | disjointwith(X1,c_tptpcol_6_71683) ),
    inference(spm,[status(thm)],[c_0_78,c_0_113]) ).

cnf(c_0_118,plain,
    genls(c_tptpcol_5_69635,c_tptpcol_4_65539),
    inference(split_conjunct,[status(thm)],[just40]) ).

cnf(c_0_119,plain,
    genls(c_tptpcol_2_2,c_tptpcol_1_1),
    inference(split_conjunct,[status(thm)],[just6]) ).

cnf(c_0_120,plain,
    genls(c_tptpcol_3_65538,c_tptpcol_2_65537),
    inference(split_conjunct,[status(thm)],[just36]) ).

cnf(c_0_121,plain,
    disjointwith(c_tptpcol_2_65537,c_tptpcol_1_1),
    inference(spm,[status(thm)],[c_0_114,c_0_115]) ).

cnf(c_0_122,negated_conjecture,
    ~ disjointwith(c_tptpcol_2_2,c_tptpcol_5_69635),
    inference(spm,[status(thm)],[c_0_116,c_0_117]) ).

cnf(c_0_123,plain,
    ( ~ disjointwith(X1,c_tptpcol_4_65539)
    | disjointwith(X1,c_tptpcol_5_69635) ),
    inference(spm,[status(thm)],[c_0_78,c_0_118]) ).

cnf(c_0_124,plain,
    genls(c_tptpcol_4_65539,c_tptpcol_3_65538),
    inference(split_conjunct,[status(thm)],[just38]) ).

cnf(c_0_125,plain,
    ( ~ disjointwith(c_tptpcol_1_1,X1)
    | disjointwith(c_tptpcol_2_2,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_119]) ).

cnf(c_0_126,plain,
    ( ~ disjointwith(X1,c_tptpcol_2_65537)
    | disjointwith(X1,c_tptpcol_3_65538) ),
    inference(spm,[status(thm)],[c_0_78,c_0_120]) ).

cnf(c_0_127,plain,
    disjointwith(c_tptpcol_1_1,c_tptpcol_2_65537),
    inference(spm,[status(thm)],[c_0_109,c_0_121]) ).

cnf(c_0_128,negated_conjecture,
    ~ disjointwith(c_tptpcol_2_2,c_tptpcol_4_65539),
    inference(spm,[status(thm)],[c_0_122,c_0_123]) ).

cnf(c_0_129,plain,
    ( ~ disjointwith(X1,c_tptpcol_3_65538)
    | disjointwith(X1,c_tptpcol_4_65539) ),
    inference(spm,[status(thm)],[c_0_78,c_0_124]) ).

cnf(c_0_130,plain,
    disjointwith(c_tptpcol_2_2,c_tptpcol_3_65538),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_127])]) ).

cnf(c_0_131,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_130])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR036+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37  % Computer : n017.cluster.edu
% 0.09/0.37  % Model    : x86_64 x86_64
% 0.09/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37  % Memory   : 8046.5625MB
% 0.09/0.37  % OS       : Linux 6.8.0-71-generic
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Mon Sep 21 14:23:12 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.42  Running first-order theorem proving
% 0.09/0.42  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
% 0.31/0.50  % Version: 3.5.1
% 0.31/0.50  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.31/0.50  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.31/0.50  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.31/0.50  % Starting new_bool_3 with 300s (1) cores
% 0.31/0.50  % Starting new_bool_1 with 300s (1) cores
% 0.31/0.50  % Starting sh5l with 300s (1) cores
% 0.31/0.50  % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2549760 completed with status 0
% 0.31/0.50  % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.31/0.50  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.31/0.50  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.31/0.50  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.31/0.50  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.31/0.50  % No SInE strategy applied
% 0.31/0.50  % Search class: FHHNF-FFMM00-SFFFFFNN
% 0.31/0.50  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.31/0.50  % Starting SubtermCWHack with 136s (1) cores
% 0.31/0.50  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.31/0.50  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.31/0.50  % Starting new_bool_3 with 136s (1) cores
% 0.31/0.50  % Starting new_bool_1 with 136s (1) cores
% 0.31/0.50  % SubtermCWHack with pid 2549767 completed with status 0
% 0.31/0.50  % Result found by SubtermCWHack
% 0.31/0.50  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.31/0.50  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.31/0.50  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.31/0.50  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.31/0.50  % No SInE strategy applied
% 0.31/0.50  % Search class: FHHNF-FFMM00-SFFFFFNN
% 0.31/0.50  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.31/0.50  % Starting SubtermCWHack with 136s (1) cores
% 0.31/0.50  % Preprocessing time       : 0.003 s
% 0.31/0.50  
% 0.31/0.50  % Proof found!
% 0.31/0.50  % SZS status Theorem
% 0.31/0.50  % SZS output start CNFRefutation
% See solution above
% 0.31/0.50  % Parsed axioms                        : 174
% 0.31/0.50  % Removed by relevancy pruning/SinE    : 0
% 0.31/0.50  % Initial clauses                      : 175
% 0.31/0.50  % Removed in clause preprocessing      : 0
% 0.31/0.50  % Initial clauses in saturation        : 175
% 0.31/0.50  % Processed clauses                    : 1088
% 0.31/0.50  % ...of these trivial                  : 2
% 0.31/0.50  % ...subsumed                          : 215
% 0.31/0.50  % ...remaining for further processing  : 871
% 0.31/0.50  % Other redundant clauses eliminated   : 0
% 0.31/0.50  % Clauses deleted for lack of memory   : 0
% 0.31/0.50  % Backward-subsumed                    : 0
% 0.31/0.50  % Backward-rewritten                   : 0
% 0.31/0.50  % Generated clauses                    : 2078
% 0.31/0.50  % ...of the previous two non-redundant : 1650
% 0.31/0.50  % ...aggressively subsumed             : 0
% 0.31/0.50  % Contextual simplify-reflections      : 0
% 0.31/0.50  % Paramodulations                      : 2078
% 0.31/0.50  % Factorizations                       : 0
% 0.31/0.50  % NegExts                              : 0
% 0.31/0.50  % Equation resolutions                 : 0
% 0.31/0.50  % Disequality decompositions           : 0
% 0.31/0.50  % Total rewrite steps                  : 275
% 0.31/0.50  % ...of those cached                   : 213
% 0.31/0.50  % Propositional unsat checks           : 0
% 0.31/0.50  %    Propositional check models        : 0
% 0.31/0.50  %    Propositional check unsatisfiable : 0
% 0.31/0.50  %    Propositional clauses             : 0
% 0.31/0.50  %    Propositional clauses after purity: 0
% 0.31/0.50  %    Propositional unsat core size     : 0
% 0.31/0.50  %    Propositional preprocessing time  : 0.000
% 0.31/0.50  %    Propositional encoding time       : 0.000
% 0.31/0.50  %    Propositional solver time         : 0.000
% 0.31/0.50  %    Success case prop preproc time    : 0.000
% 0.31/0.50  %    Success case prop encoding time   : 0.000
% 0.31/0.50  %    Success case prop solver time     : 0.000
% 0.31/0.50  % Current number of processed clauses  : 871
% 0.31/0.50  %    Positive orientable unit clauses  : 139
% 0.31/0.50  %    Positive unorientable unit clauses: 0
% 0.31/0.50  %    Negative unit clauses             : 194
% 0.31/0.50  %    Non-unit-clauses                  : 538
% 0.31/0.50  % Current number of unprocessed clauses: 737
% 0.31/0.50  % ...number of literals in the above   : 1560
% 0.31/0.50  % Current number of archived formulas  : 0
% 0.31/0.50  % Current number of archived clauses   : 0
% 0.31/0.50  % Clause-clause subsumption calls (NU) : 51518
% 0.31/0.50  % Rec. Clause-clause subsumption calls : 50686
% 0.31/0.50  % Non-unit clause-clause subsumptions  : 72
% 0.31/0.50  % Unit Clause-clause subsumption calls : 14933
% 0.31/0.50  % Rewrite failures with RHS unbound    : 0
% 0.31/0.50  % BW rewrite match attempts            : 0
% 0.31/0.50  % BW rewrite match successes           : 0
% 0.31/0.50  % Condensation attempts                : 0
% 0.31/0.50  % Condensation successes               : 0
% 0.31/0.50  % Termbank termtop insertions          : 24003
% 0.31/0.50  % Search garbage collected termcells   : 1356
% 0.31/0.50  
% 0.31/0.50  % -------------------------------------------------
% 0.31/0.50  % User time                : 0.057 s
% 0.31/0.50  % System time              : 0.009 s
% 0.31/0.50  % Total time               : 0.066 s
% 0.31/0.50  % Maximum resident set size: 4028 pages
% 0.31/0.50  
% 0.31/0.50  % -------------------------------------------------
% 0.31/0.50  % User time                : 0.179 s
% 0.31/0.50  % System time              : 0.035 s
% 0.31/0.50  % Total time               : 0.214 s
% 0.31/0.50  % Maximum resident set size: 4864 pages
% 0.31/0.50  % E exiting
%------------------------------------------------------------------------------