↑ Up

CSE_E---1.7.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : CSR036+3 : 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 : n024.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 04:14:14 PM UTC 2026

% Result   : Theorem 105.77s 58.76s
% Output   : CNFRefutation 105.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   35
% Syntax   : Number of formulae    :  128 (  82 unt;   0 def)
%            Number of atoms       :  183 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  112 (  57   ~;  45   |;   4   &)
%                                         (   0 <=>;   6  =>;   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   :   63 (   0 sgn  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ax2_7994,axiom,
    ! [X18,X4,X19] :
      ( ( genls(X18,X4)
        & genls(X19,X18) )
     => genls(X19,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_7994) ).

fof(ax2_1760,axiom,
    genls(c_tptpcol_14_72792,c_tptpcol_13_72791),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_1760) ).

fof(ax2_7585,axiom,
    ! [X3,X18,X19] :
      ( ( disjointwith(X3,X18)
        & genls(X19,X18) )
     => disjointwith(X3,X19) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_7585) ).

fof(ax2_3764,axiom,
    genls(c_tptpcol_13_72791,c_tptpcol_12_72775),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_3764) ).

fof(ax2_7584,axiom,
    ! [X15,X16] :
      ( disjointwith(X15,X16)
     => disjointwith(X16,X15) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_7584) ).

fof(ax2_1300,axiom,
    genls(c_tptpcol_15_22076,c_tptpcol_14_22072),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_1300) ).

fof(query136,conjecture,
    ( mtvisible(c_tptp_member974_mt)
   => disjointwith(c_tptpcol_15_22076,c_tptpcol_16_72795) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query136) ).

fof(ax2_512,axiom,
    genls(c_tptpcol_16_72795,c_tptpcol_15_72793),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_512) ).

fof(ax2_7586,axiom,
    ! [X18,X4,X19] :
      ( ( disjointwith(X18,X4)
        & genls(X19,X18) )
     => disjointwith(X19,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_7586) ).

fof(ax2_2540,axiom,
    genls(c_tptpcol_15_72793,c_tptpcol_14_72792),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_2540) ).

fof(ax2_1975,axiom,
    genls(c_tptpcol_14_22072,c_tptpcol_13_22071),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_1975) ).

fof(ax2_853,axiom,
    genls(c_tptpcol_12_72775,c_tptpcol_11_72774),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_853) ).

fof(ax2_1731,axiom,
    genls(c_tptpcol_9_22021,c_tptpcol_8_22020),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_1731) ).

fof(ax2_759,axiom,
    genls(c_tptpcol_11_72774,c_tptpcol_10_72710),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_759) ).

fof(ax2_1366,axiom,
    genls(c_tptpcol_13_22071,c_tptpcol_12_22055),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_1366) ).

fof(ax2_814,axiom,
    genls(c_tptpcol_5_69635,c_tptpcol_4_65539),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_814) ).

fof(ax2_793,axiom,
    genls(c_tptpcol_6_20484,c_tptpcol_5_20483),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_793) ).

fof(ax2_70,axiom,
    genls(c_tptpcol_10_22022,c_tptpcol_9_22021),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_70) ).

fof(ax2_336,axiom,
    genls(c_tptpcol_8_22020,c_tptpcol_7_21508),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_336) ).

fof(ax2_940,axiom,
    genls(c_tptpcol_8_72708,c_tptpcol_7_72707),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_940) ).

fof(ax2_227,axiom,
    genls(c_tptpcol_10_72710,c_tptpcol_9_72709),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_227) ).

fof(ax2_879,axiom,
    genls(c_tptpcol_12_22055,c_tptpcol_11_22023),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_879) ).

fof(ax2_20,axiom,
    genls(c_tptpcol_6_71683,c_tptpcol_5_69635),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_20) ).

fof(ax2_176,axiom,
    genls(c_tptpcol_4_65539,c_tptpcol_3_65538),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_176) ).

fof(ax2_2436,axiom,
    genls(c_tptpcol_7_21508,c_tptpcol_6_20484),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_2436) ).

fof(ax2_1818,axiom,
    genls(c_tptpcol_5_20483,c_tptpcol_4_16387),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_1818) ).

fof(ax2_2287,axiom,
    genls(c_tptpcol_7_72707,c_tptpcol_6_71683),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_2287) ).

fof(ax2_615,axiom,
    genls(c_tptpcol_9_72709,c_tptpcol_8_72708),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_615) ).

fof(ax2_487,axiom,
    genls(c_tptpcol_11_22023,c_tptpcol_10_22022),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_487) ).

fof(ax2_460,axiom,
    genls(c_tptpcol_3_16386,c_tptpcol_2_2),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_460) ).

fof(ax2_3253,axiom,
    genls(c_tptpcol_2_2,c_tptpcol_1_1),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_3253) ).

fof(ax2_783,axiom,
    genls(c_tptpcol_4_16387,c_tptpcol_3_16386),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_783) ).

fof(ax2_867,axiom,
    genls(c_tptpcol_2_65537,c_tptpcol_1_65536),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_867) ).

fof(ax2_1248,axiom,
    disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_1248) ).

fof(ax2_587,axiom,
    genls(c_tptpcol_3_65538,c_tptpcol_2_65537),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_587) ).

fof(c_0_35,plain,
    ! [X11942,X11943,X11944] :
      ( ~ genls(X11942,X11943)
      | ~ genls(X11944,X11942)
      | genls(X11944,X11943) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax2_7994])]) ).

cnf(c_0_36,plain,
    ( genls(X3,X2)
    | ~ genls(X1,X2)
    | ~ genls(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_37,plain,
    genls(c_tptpcol_14_72792,c_tptpcol_13_72791),
    inference(split_conjunct,[status(thm)],[ax2_1760]) ).

fof(c_0_38,plain,
    ! [X11306,X11307,X11308] :
      ( ~ disjointwith(X11306,X11307)
      | ~ genls(X11308,X11307)
      | disjointwith(X11306,X11308) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax2_7585])]) ).

cnf(c_0_39,plain,
    ( genls(c_tptpcol_14_72792,X1)
    | ~ genls(c_tptpcol_13_72791,X1) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_40,plain,
    genls(c_tptpcol_13_72791,c_tptpcol_12_72775),
    inference(split_conjunct,[status(thm)],[ax2_3764]) ).

fof(c_0_41,plain,
    ! [X11304,X11305] :
      ( ~ disjointwith(X11304,X11305)
      | disjointwith(X11305,X11304) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax2_7584])]) ).

cnf(c_0_42,plain,
    ( disjointwith(X1,X3)
    | ~ disjointwith(X1,X2)
    | ~ genls(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_43,plain,
    genls(c_tptpcol_15_22076,c_tptpcol_14_22072),
    inference(split_conjunct,[status(thm)],[ax2_1300]) ).

fof(c_0_44,negated_conjecture,
    ~ ( mtvisible(c_tptp_member974_mt)
     => disjointwith(c_tptpcol_15_22076,c_tptpcol_16_72795) ),
    inference(assume_negation,[status(cth)],[query136]) ).

cnf(c_0_45,plain,
    genls(c_tptpcol_14_72792,c_tptpcol_12_72775),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_46,plain,
    ( disjointwith(X2,X1)
    | ~ disjointwith(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_47,plain,
    ( disjointwith(X1,c_tptpcol_15_22076)
    | ~ disjointwith(X1,c_tptpcol_14_22072) ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

fof(c_0_48,negated_conjecture,
    ( mtvisible(c_tptp_member974_mt)
    & ~ disjointwith(c_tptpcol_15_22076,c_tptpcol_16_72795) ),
    inference(fof_nnf,[status(thm)],[c_0_44]) ).

cnf(c_0_49,plain,
    genls(c_tptpcol_16_72795,c_tptpcol_15_72793),
    inference(split_conjunct,[status(thm)],[ax2_512]) ).

fof(c_0_50,plain,
    ! [X11309,X11310,X11311] :
      ( ~ disjointwith(X11309,X11310)
      | ~ genls(X11311,X11309)
      | disjointwith(X11311,X11310) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax2_7586])]) ).

cnf(c_0_51,plain,
    genls(c_tptpcol_15_72793,c_tptpcol_14_72792),
    inference(split_conjunct,[status(thm)],[ax2_2540]) ).

cnf(c_0_52,plain,
    ( disjointwith(X1,c_tptpcol_14_72792)
    | ~ disjointwith(X1,c_tptpcol_12_72775) ),
    inference(spm,[status(thm)],[c_0_42,c_0_45]) ).

cnf(c_0_53,plain,
    ( disjointwith(c_tptpcol_15_22076,X1)
    | ~ disjointwith(X1,c_tptpcol_14_22072) ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_54,negated_conjecture,
    ~ disjointwith(c_tptpcol_15_22076,c_tptpcol_16_72795),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_55,plain,
    ( disjointwith(X1,c_tptpcol_16_72795)
    | ~ disjointwith(X1,c_tptpcol_15_72793) ),
    inference(spm,[status(thm)],[c_0_42,c_0_49]) ).

cnf(c_0_56,plain,
    genls(c_tptpcol_14_22072,c_tptpcol_13_22071),
    inference(split_conjunct,[status(thm)],[ax2_1975]) ).

cnf(c_0_57,plain,
    ( disjointwith(X3,X2)
    | ~ disjointwith(X1,X2)
    | ~ genls(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_58,plain,
    genls(c_tptpcol_12_72775,c_tptpcol_11_72774),
    inference(split_conjunct,[status(thm)],[ax2_853]) ).

cnf(c_0_59,plain,
    ( disjointwith(X1,c_tptpcol_15_72793)
    | ~ disjointwith(X1,c_tptpcol_14_72792) ),
    inference(spm,[status(thm)],[c_0_42,c_0_51]) ).

cnf(c_0_60,plain,
    ( disjointwith(c_tptpcol_15_22076,c_tptpcol_14_72792)
    | ~ disjointwith(c_tptpcol_12_72775,c_tptpcol_14_22072) ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_61,negated_conjecture,
    ~ disjointwith(c_tptpcol_15_22076,c_tptpcol_15_72793),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_62,plain,
    genls(c_tptpcol_9_22021,c_tptpcol_8_22020),
    inference(split_conjunct,[status(thm)],[ax2_1731]) ).

cnf(c_0_63,plain,
    genls(c_tptpcol_11_72774,c_tptpcol_10_72710),
    inference(split_conjunct,[status(thm)],[ax2_759]) ).

cnf(c_0_64,plain,
    genls(c_tptpcol_13_22071,c_tptpcol_12_22055),
    inference(split_conjunct,[status(thm)],[ax2_1366]) ).

cnf(c_0_65,plain,
    ( disjointwith(X1,c_tptpcol_14_22072)
    | ~ disjointwith(X1,c_tptpcol_13_22071) ),
    inference(spm,[status(thm)],[c_0_42,c_0_56]) ).

cnf(c_0_66,plain,
    ( disjointwith(c_tptpcol_12_72775,X1)
    | ~ disjointwith(c_tptpcol_11_72774,X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_67,plain,
    ~ disjointwith(c_tptpcol_12_72775,c_tptpcol_14_22072),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]) ).

cnf(c_0_68,plain,
    genls(c_tptpcol_5_69635,c_tptpcol_4_65539),
    inference(split_conjunct,[status(thm)],[ax2_814]) ).

cnf(c_0_69,plain,
    genls(c_tptpcol_6_20484,c_tptpcol_5_20483),
    inference(split_conjunct,[status(thm)],[ax2_793]) ).

cnf(c_0_70,plain,
    genls(c_tptpcol_10_22022,c_tptpcol_9_22021),
    inference(split_conjunct,[status(thm)],[ax2_70]) ).

cnf(c_0_71,plain,
    ( genls(c_tptpcol_9_22021,X1)
    | ~ genls(c_tptpcol_8_22020,X1) ),
    inference(spm,[status(thm)],[c_0_36,c_0_62]) ).

cnf(c_0_72,plain,
    genls(c_tptpcol_8_22020,c_tptpcol_7_21508),
    inference(split_conjunct,[status(thm)],[ax2_336]) ).

cnf(c_0_73,plain,
    genls(c_tptpcol_8_72708,c_tptpcol_7_72707),
    inference(split_conjunct,[status(thm)],[ax2_940]) ).

cnf(c_0_74,plain,
    genls(c_tptpcol_10_72710,c_tptpcol_9_72709),
    inference(split_conjunct,[status(thm)],[ax2_227]) ).

cnf(c_0_75,plain,
    genls(c_tptpcol_12_22055,c_tptpcol_11_22023),
    inference(split_conjunct,[status(thm)],[ax2_879]) ).

cnf(c_0_76,plain,
    ( disjointwith(c_tptpcol_11_72774,X1)
    | ~ disjointwith(c_tptpcol_10_72710,X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_63]) ).

cnf(c_0_77,plain,
    ( disjointwith(X1,c_tptpcol_13_22071)
    | ~ disjointwith(X1,c_tptpcol_12_22055) ),
    inference(spm,[status(thm)],[c_0_42,c_0_64]) ).

cnf(c_0_78,plain,
    ~ disjointwith(c_tptpcol_11_72774,c_tptpcol_13_22071),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]) ).

cnf(c_0_79,plain,
    genls(c_tptpcol_6_71683,c_tptpcol_5_69635),
    inference(split_conjunct,[status(thm)],[ax2_20]) ).

cnf(c_0_80,plain,
    ( genls(c_tptpcol_5_69635,X1)
    | ~ genls(c_tptpcol_4_65539,X1) ),
    inference(spm,[status(thm)],[c_0_36,c_0_68]) ).

cnf(c_0_81,plain,
    genls(c_tptpcol_4_65539,c_tptpcol_3_65538),
    inference(split_conjunct,[status(thm)],[ax2_176]) ).

cnf(c_0_82,plain,
    genls(c_tptpcol_7_21508,c_tptpcol_6_20484),
    inference(split_conjunct,[status(thm)],[ax2_2436]) ).

cnf(c_0_83,plain,
    ( genls(c_tptpcol_6_20484,X1)
    | ~ genls(c_tptpcol_5_20483,X1) ),
    inference(spm,[status(thm)],[c_0_36,c_0_69]) ).

cnf(c_0_84,plain,
    genls(c_tptpcol_5_20483,c_tptpcol_4_16387),
    inference(split_conjunct,[status(thm)],[ax2_1818]) ).

cnf(c_0_85,plain,
    ( genls(c_tptpcol_10_22022,X1)
    | ~ genls(c_tptpcol_9_22021,X1) ),
    inference(spm,[status(thm)],[c_0_36,c_0_70]) ).

cnf(c_0_86,plain,
    genls(c_tptpcol_9_22021,c_tptpcol_7_21508),
    inference(spm,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_87,plain,
    ( genls(c_tptpcol_8_72708,X1)
    | ~ genls(c_tptpcol_7_72707,X1) ),
    inference(spm,[status(thm)],[c_0_36,c_0_73]) ).

cnf(c_0_88,plain,
    genls(c_tptpcol_7_72707,c_tptpcol_6_71683),
    inference(split_conjunct,[status(thm)],[ax2_2287]) ).

cnf(c_0_89,plain,
    genls(c_tptpcol_9_72709,c_tptpcol_8_72708),
    inference(split_conjunct,[status(thm)],[ax2_615]) ).

cnf(c_0_90,plain,
    genls(c_tptpcol_11_22023,c_tptpcol_10_22022),
    inference(split_conjunct,[status(thm)],[ax2_487]) ).

cnf(c_0_91,plain,
    ( disjointwith(c_tptpcol_10_72710,X1)
    | ~ disjointwith(c_tptpcol_9_72709,X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_74]) ).

cnf(c_0_92,plain,
    ( disjointwith(X1,c_tptpcol_12_22055)
    | ~ disjointwith(X1,c_tptpcol_11_22023) ),
    inference(spm,[status(thm)],[c_0_42,c_0_75]) ).

cnf(c_0_93,plain,
    ~ disjointwith(c_tptpcol_10_72710,c_tptpcol_12_22055),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]) ).

cnf(c_0_94,plain,
    ( genls(c_tptpcol_6_71683,X1)
    | ~ genls(c_tptpcol_5_69635,X1) ),
    inference(spm,[status(thm)],[c_0_36,c_0_79]) ).

cnf(c_0_95,plain,
    genls(c_tptpcol_5_69635,c_tptpcol_3_65538),
    inference(spm,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_96,plain,
    ( genls(c_tptpcol_7_21508,X1)
    | ~ genls(c_tptpcol_6_20484,X1) ),
    inference(spm,[status(thm)],[c_0_36,c_0_82]) ).

cnf(c_0_97,plain,
    genls(c_tptpcol_6_20484,c_tptpcol_4_16387),
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

cnf(c_0_98,plain,
    genls(c_tptpcol_10_22022,c_tptpcol_7_21508),
    inference(spm,[status(thm)],[c_0_85,c_0_86]) ).

cnf(c_0_99,plain,
    genls(c_tptpcol_8_72708,c_tptpcol_6_71683),
    inference(spm,[status(thm)],[c_0_87,c_0_88]) ).

cnf(c_0_100,plain,
    ( disjointwith(c_tptpcol_9_72709,X1)
    | ~ disjointwith(c_tptpcol_8_72708,X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_89]) ).

cnf(c_0_101,plain,
    ( disjointwith(X1,c_tptpcol_11_22023)
    | ~ disjointwith(X1,c_tptpcol_10_22022) ),
    inference(spm,[status(thm)],[c_0_42,c_0_90]) ).

cnf(c_0_102,plain,
    ~ disjointwith(c_tptpcol_9_72709,c_tptpcol_11_22023),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93]) ).

cnf(c_0_103,plain,
    genls(c_tptpcol_3_16386,c_tptpcol_2_2),
    inference(split_conjunct,[status(thm)],[ax2_460]) ).

cnf(c_0_104,plain,
    genls(c_tptpcol_6_71683,c_tptpcol_3_65538),
    inference(spm,[status(thm)],[c_0_94,c_0_95]) ).

cnf(c_0_105,plain,
    genls(c_tptpcol_7_21508,c_tptpcol_4_16387),
    inference(spm,[status(thm)],[c_0_96,c_0_97]) ).

cnf(c_0_106,plain,
    ( disjointwith(X1,c_tptpcol_10_22022)
    | ~ disjointwith(X1,c_tptpcol_7_21508) ),
    inference(spm,[status(thm)],[c_0_42,c_0_98]) ).

cnf(c_0_107,plain,
    ( disjointwith(c_tptpcol_8_72708,X1)
    | ~ disjointwith(c_tptpcol_6_71683,X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_99]) ).

cnf(c_0_108,plain,
    ~ disjointwith(c_tptpcol_8_72708,c_tptpcol_10_22022),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102]) ).

cnf(c_0_109,plain,
    ( genls(c_tptpcol_3_16386,X1)
    | ~ genls(c_tptpcol_2_2,X1) ),
    inference(spm,[status(thm)],[c_0_36,c_0_103]) ).

cnf(c_0_110,plain,
    genls(c_tptpcol_2_2,c_tptpcol_1_1),
    inference(split_conjunct,[status(thm)],[ax2_3253]) ).

cnf(c_0_111,plain,
    ( disjointwith(c_tptpcol_6_71683,X1)
    | ~ disjointwith(c_tptpcol_3_65538,X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_104]) ).

cnf(c_0_112,plain,
    ( disjointwith(X1,c_tptpcol_7_21508)
    | ~ disjointwith(X1,c_tptpcol_4_16387) ),
    inference(spm,[status(thm)],[c_0_42,c_0_105]) ).

cnf(c_0_113,plain,
    ~ disjointwith(c_tptpcol_6_71683,c_tptpcol_7_21508),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108]) ).

cnf(c_0_114,plain,
    genls(c_tptpcol_4_16387,c_tptpcol_3_16386),
    inference(split_conjunct,[status(thm)],[ax2_783]) ).

cnf(c_0_115,plain,
    genls(c_tptpcol_3_16386,c_tptpcol_1_1),
    inference(spm,[status(thm)],[c_0_109,c_0_110]) ).

cnf(c_0_116,plain,
    genls(c_tptpcol_2_65537,c_tptpcol_1_65536),
    inference(split_conjunct,[status(thm)],[ax2_867]) ).

cnf(c_0_117,plain,
    disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536),
    inference(split_conjunct,[status(thm)],[ax2_1248]) ).

cnf(c_0_118,plain,
    ~ disjointwith(c_tptpcol_3_65538,c_tptpcol_4_16387),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_113]) ).

cnf(c_0_119,plain,
    ( disjointwith(X1,c_tptpcol_4_16387)
    | ~ disjointwith(X1,c_tptpcol_3_16386) ),
    inference(spm,[status(thm)],[c_0_42,c_0_114]) ).

cnf(c_0_120,plain,
    genls(c_tptpcol_3_65538,c_tptpcol_2_65537),
    inference(split_conjunct,[status(thm)],[ax2_587]) ).

cnf(c_0_121,plain,
    ( disjointwith(X1,c_tptpcol_3_16386)
    | ~ disjointwith(X1,c_tptpcol_1_1) ),
    inference(spm,[status(thm)],[c_0_42,c_0_115]) ).

cnf(c_0_122,plain,
    ( disjointwith(c_tptpcol_2_65537,X1)
    | ~ disjointwith(c_tptpcol_1_65536,X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_116]) ).

cnf(c_0_123,plain,
    disjointwith(c_tptpcol_1_65536,c_tptpcol_1_1),
    inference(spm,[status(thm)],[c_0_46,c_0_117]) ).

cnf(c_0_124,plain,
    ~ disjointwith(c_tptpcol_3_65538,c_tptpcol_3_16386),
    inference(spm,[status(thm)],[c_0_118,c_0_119]) ).

cnf(c_0_125,plain,
    ( disjointwith(c_tptpcol_3_65538,X1)
    | ~ disjointwith(c_tptpcol_2_65537,X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_120]) ).

cnf(c_0_126,plain,
    disjointwith(c_tptpcol_2_65537,c_tptpcol_3_16386),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_123])]) ).

cnf(c_0_127,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_126])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06  % Problem    : CSR036+3 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.06  % 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
% 0.08/0.25  % Computer : n024.cluster.edu
% 0.08/0.25  % Model    : x86_64 x86_64
% 0.08/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.25  % Memory   : 8042.1875MB
% 0.08/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.25  % CPULimit   : 300
% 0.08/0.25  % WCLimit    : 300
% 0.08/0.25  % DateTime   : Mon May  4 11:28:56 EDT 2026
% 0.08/0.25  % CPUTime    : 
% 0.08/0.26  % start to proof: theBenchmark
% 105.77/58.76  % Version  : CSE_E---1.7
% 105.77/58.76  % Problem  : theBenchmark.p
% 105.77/58.76  % SZS status Theorem for theBenchmark.p
% 105.77/58.76  % SZS output start CNFRefutation
% See solution above
% 105.98/58.93  % Total time : 52.409s
%------------------------------------------------------------------------------