↑ Up

E---3.5.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : CSR036+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n012.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 96.28s 14.59s
% Output   : CNFRefutation 96.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   35
% Syntax   : Number of formulae    :  136 (  92 unt;   0 def)
%            Number of atoms       :  189 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   99 (  46   ~;  43   |;   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   :   62 (   0 sgn  22   !;   0   ?)

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

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

fof(ax1_335,axiom,
    genls(c_tptpcol_6_20484,c_tptpcol_5_20483),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_335) ).

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_442,axiom,
    genls(c_tptpcol_15_22076,c_tptpcol_14_22072),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_442) ).

fof(ax1_456,axiom,
    genls(c_tptpcol_7_21508,c_tptpcol_6_20484),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_456) ).

fof(ax1_28,axiom,
    genls(c_tptpcol_5_20483,c_tptpcol_4_16387),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_28) ).

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

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_189,axiom,
    genls(c_tptpcol_14_22072,c_tptpcol_13_22071),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_189) ).

fof(ax1_230,axiom,
    genls(c_tptpcol_13_22071,c_tptpcol_12_22055),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_230) ).

fof(ax1_30,axiom,
    genls(c_tptpcol_11_22023,c_tptpcol_10_22022),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_30) ).

fof(ax1_305,axiom,
    genls(c_tptpcol_8_22020,c_tptpcol_7_21508),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_305) ).

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

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_168,axiom,
    genls(c_tptpcol_12_22055,c_tptpcol_11_22023),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_168) ).

fof(ax1_193,axiom,
    genls(c_tptpcol_10_22022,c_tptpcol_9_22021),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_193) ).

fof(ax1_21,axiom,
    genls(c_tptpcol_9_22021,c_tptpcol_8_22020),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_21) ).

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_311,axiom,
    genls(c_tptpcol_3_65538,c_tptpcol_2_65537),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_311) ).

fof(ax1_436,axiom,
    genls(c_tptpcol_4_65539,c_tptpcol_3_65538),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_436) ).

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_403,axiom,
    genls(c_tptpcol_16_72795,c_tptpcol_15_72793),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_403) ).

fof(ax1_74,axiom,
    genls(c_tptpcol_8_72708,c_tptpcol_7_72707),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_74) ).

fof(ax1_224,axiom,
    genls(c_tptpcol_5_69635,c_tptpcol_4_65539),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_224) ).

fof(ax1_280,axiom,
    genls(c_tptpcol_15_72793,c_tptpcol_14_72792),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_280) ).

fof(ax1_26,axiom,
    genls(c_tptpcol_14_72792,c_tptpcol_13_72791),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_26) ).

fof(ax1_395,axiom,
    genls(c_tptpcol_12_72775,c_tptpcol_11_72774),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_395) ).

fof(ax1_199,axiom,
    genls(c_tptpcol_9_72709,c_tptpcol_8_72708),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_199) ).

fof(ax1_397,axiom,
    genls(c_tptpcol_7_72707,c_tptpcol_6_71683),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_397) ).

fof(ax1_405,axiom,
    genls(c_tptpcol_6_71683,c_tptpcol_5_69635),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_405) ).

fof(ax1_491,axiom,
    genls(c_tptpcol_13_72791,c_tptpcol_12_72775),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_491) ).

fof(ax1_449,axiom,
    genls(c_tptpcol_11_72774,c_tptpcol_10_72710),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_449) ).

fof(ax1_6,axiom,
    genls(c_tptpcol_10_72710,c_tptpcol_9_72709),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_6) ).

fof(query86,conjecture,
    ( mtvisible(c_tptp_member974_mt)
   => disjointwith(c_tptpcol_15_22076,c_tptpcol_16_72795) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query86) ).

fof(c_0_35,plain,
    ! [X1106,X1107,X1108] :
      ( genls(X1108,X1107)
      | ~ genls(X1108,X1106)
      | ~ genls(X1106,X1107) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_1112])])]) ).

fof(c_0_36,plain,
    ! [X1125,X1126,X1127] :
      ( disjointwith(X1127,X1126)
      | ~ genls(X1127,X1125)
      | ~ disjointwith(X1125,X1126) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_1122])])]) ).

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

cnf(c_0_38,plain,
    genls(c_tptpcol_6_20484,c_tptpcol_5_20483),
    inference(split_conjunct,[status(thm)],[ax1_335]) ).

cnf(c_0_39,plain,
    ( ~ genls(X3,X1)
    | ~ disjointwith(X1,X2)
    | disjointwith(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

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_15_22076,c_tptpcol_14_22072),
    inference(split_conjunct,[status(thm)],[ax1_442]) ).

cnf(c_0_42,plain,
    genls(c_tptpcol_7_21508,c_tptpcol_6_20484),
    inference(split_conjunct,[status(thm)],[ax1_456]) ).

cnf(c_0_43,plain,
    ( ~ genls(c_tptpcol_5_20483,X1)
    | genls(c_tptpcol_6_20484,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_44,plain,
    genls(c_tptpcol_5_20483,c_tptpcol_4_16387),
    inference(split_conjunct,[status(thm)],[ax1_28]) ).

fof(c_0_45,plain,
    ! [X1120,X1121] :
      ( disjointwith(X1121,X1120)
      | ~ disjointwith(X1120,X1121) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_1120])])]) ).

cnf(c_0_46,plain,
    ( ~ genls(X1,c_tptpcol_1_1)
    | disjointwith(X1,c_tptpcol_1_65536) ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_47,plain,
    genls(c_tptpcol_2_2,c_tptpcol_1_1),
    inference(split_conjunct,[status(thm)],[ax1_145]) ).

cnf(c_0_48,plain,
    ( ~ genls(c_tptpcol_14_22072,X1)
    | genls(c_tptpcol_15_22076,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_41]) ).

cnf(c_0_49,plain,
    genls(c_tptpcol_14_22072,c_tptpcol_13_22071),
    inference(split_conjunct,[status(thm)],[ax1_189]) ).

cnf(c_0_50,plain,
    genls(c_tptpcol_13_22071,c_tptpcol_12_22055),
    inference(split_conjunct,[status(thm)],[ax1_230]) ).

cnf(c_0_51,plain,
    genls(c_tptpcol_11_22023,c_tptpcol_10_22022),
    inference(split_conjunct,[status(thm)],[ax1_30]) ).

cnf(c_0_52,plain,
    genls(c_tptpcol_8_22020,c_tptpcol_7_21508),
    inference(split_conjunct,[status(thm)],[ax1_305]) ).

cnf(c_0_53,plain,
    ( ~ genls(c_tptpcol_6_20484,X1)
    | genls(c_tptpcol_7_21508,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_42]) ).

cnf(c_0_54,plain,
    genls(c_tptpcol_6_20484,c_tptpcol_4_16387),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

fof(c_0_55,plain,
    ! [X1122,X1123,X1124] :
      ( disjointwith(X1122,X1124)
      | ~ genls(X1124,X1123)
      | ~ disjointwith(X1122,X1123) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_1121])])]) ).

cnf(c_0_56,plain,
    ( ~ disjointwith(X1,X2)
    | disjointwith(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_57,plain,
    disjointwith(c_tptpcol_2_2,c_tptpcol_1_65536),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_58,plain,
    genls(c_tptpcol_4_16387,c_tptpcol_3_16386),
    inference(split_conjunct,[status(thm)],[ax1_285]) ).

cnf(c_0_59,plain,
    genls(c_tptpcol_15_22076,c_tptpcol_13_22071),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_60,plain,
    ( ~ genls(c_tptpcol_12_22055,X1)
    | genls(c_tptpcol_13_22071,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_50]) ).

cnf(c_0_61,plain,
    genls(c_tptpcol_12_22055,c_tptpcol_11_22023),
    inference(split_conjunct,[status(thm)],[ax1_168]) ).

cnf(c_0_62,plain,
    ( ~ genls(c_tptpcol_10_22022,X1)
    | genls(c_tptpcol_11_22023,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_51]) ).

cnf(c_0_63,plain,
    genls(c_tptpcol_10_22022,c_tptpcol_9_22021),
    inference(split_conjunct,[status(thm)],[ax1_193]) ).

cnf(c_0_64,plain,
    genls(c_tptpcol_9_22021,c_tptpcol_8_22020),
    inference(split_conjunct,[status(thm)],[ax1_21]) ).

cnf(c_0_65,plain,
    ( ~ genls(c_tptpcol_7_21508,X1)
    | genls(c_tptpcol_8_22020,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_52]) ).

cnf(c_0_66,plain,
    genls(c_tptpcol_7_21508,c_tptpcol_4_16387),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_67,plain,
    ( ~ genls(X3,X2)
    | ~ disjointwith(X1,X2)
    | disjointwith(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_68,plain,
    disjointwith(c_tptpcol_1_65536,c_tptpcol_2_2),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_69,plain,
    ( ~ genls(c_tptpcol_3_16386,X1)
    | genls(c_tptpcol_4_16387,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_58]) ).

cnf(c_0_70,plain,
    genls(c_tptpcol_3_16386,c_tptpcol_2_2),
    inference(split_conjunct,[status(thm)],[ax1_385]) ).

cnf(c_0_71,plain,
    ( ~ genls(c_tptpcol_13_22071,X1)
    | genls(c_tptpcol_15_22076,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_59]) ).

cnf(c_0_72,plain,
    genls(c_tptpcol_13_22071,c_tptpcol_11_22023),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_73,plain,
    genls(c_tptpcol_11_22023,c_tptpcol_9_22021),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_74,plain,
    ( ~ genls(c_tptpcol_8_22020,X1)
    | genls(c_tptpcol_9_22021,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_64]) ).

cnf(c_0_75,plain,
    genls(c_tptpcol_8_22020,c_tptpcol_4_16387),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_76,plain,
    genls(c_tptpcol_3_65538,c_tptpcol_2_65537),
    inference(split_conjunct,[status(thm)],[ax1_311]) ).

cnf(c_0_77,plain,
    ( ~ genls(X1,c_tptpcol_2_2)
    | disjointwith(c_tptpcol_1_65536,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_78,plain,
    genls(c_tptpcol_4_16387,c_tptpcol_2_2),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_79,plain,
    genls(c_tptpcol_15_22076,c_tptpcol_11_22023),
    inference(spm,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_80,plain,
    ( ~ genls(c_tptpcol_9_22021,X1)
    | genls(c_tptpcol_11_22023,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_73]) ).

cnf(c_0_81,plain,
    genls(c_tptpcol_9_22021,c_tptpcol_4_16387),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_82,plain,
    genls(c_tptpcol_4_65539,c_tptpcol_3_65538),
    inference(split_conjunct,[status(thm)],[ax1_436]) ).

cnf(c_0_83,plain,
    ( ~ genls(c_tptpcol_2_65537,X1)
    | genls(c_tptpcol_3_65538,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_76]) ).

cnf(c_0_84,plain,
    genls(c_tptpcol_2_65537,c_tptpcol_1_65536),
    inference(split_conjunct,[status(thm)],[ax1_348]) ).

cnf(c_0_85,plain,
    genls(c_tptpcol_16_72795,c_tptpcol_15_72793),
    inference(split_conjunct,[status(thm)],[ax1_403]) ).

cnf(c_0_86,plain,
    genls(c_tptpcol_8_72708,c_tptpcol_7_72707),
    inference(split_conjunct,[status(thm)],[ax1_74]) ).

cnf(c_0_87,plain,
    disjointwith(c_tptpcol_1_65536,c_tptpcol_4_16387),
    inference(spm,[status(thm)],[c_0_77,c_0_78]) ).

cnf(c_0_88,plain,
    ( ~ genls(c_tptpcol_11_22023,X1)
    | genls(c_tptpcol_15_22076,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_79]) ).

cnf(c_0_89,plain,
    genls(c_tptpcol_11_22023,c_tptpcol_4_16387),
    inference(spm,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_90,plain,
    genls(c_tptpcol_5_69635,c_tptpcol_4_65539),
    inference(split_conjunct,[status(thm)],[ax1_224]) ).

cnf(c_0_91,plain,
    ( ~ genls(c_tptpcol_3_65538,X1)
    | genls(c_tptpcol_4_65539,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_82]) ).

cnf(c_0_92,plain,
    genls(c_tptpcol_3_65538,c_tptpcol_1_65536),
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

cnf(c_0_93,plain,
    ( ~ genls(c_tptpcol_15_72793,X1)
    | genls(c_tptpcol_16_72795,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_85]) ).

cnf(c_0_94,plain,
    genls(c_tptpcol_15_72793,c_tptpcol_14_72792),
    inference(split_conjunct,[status(thm)],[ax1_280]) ).

cnf(c_0_95,plain,
    genls(c_tptpcol_14_72792,c_tptpcol_13_72791),
    inference(split_conjunct,[status(thm)],[ax1_26]) ).

cnf(c_0_96,plain,
    genls(c_tptpcol_12_72775,c_tptpcol_11_72774),
    inference(split_conjunct,[status(thm)],[ax1_395]) ).

cnf(c_0_97,plain,
    genls(c_tptpcol_9_72709,c_tptpcol_8_72708),
    inference(split_conjunct,[status(thm)],[ax1_199]) ).

cnf(c_0_98,plain,
    ( ~ genls(c_tptpcol_7_72707,X1)
    | genls(c_tptpcol_8_72708,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_86]) ).

cnf(c_0_99,plain,
    genls(c_tptpcol_7_72707,c_tptpcol_6_71683),
    inference(split_conjunct,[status(thm)],[ax1_397]) ).

cnf(c_0_100,plain,
    ( ~ genls(X1,c_tptpcol_4_16387)
    | disjointwith(c_tptpcol_1_65536,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_87]) ).

cnf(c_0_101,plain,
    genls(c_tptpcol_15_22076,c_tptpcol_4_16387),
    inference(spm,[status(thm)],[c_0_88,c_0_89]) ).

cnf(c_0_102,plain,
    genls(c_tptpcol_6_71683,c_tptpcol_5_69635),
    inference(split_conjunct,[status(thm)],[ax1_405]) ).

cnf(c_0_103,plain,
    ( ~ genls(c_tptpcol_4_65539,X1)
    | genls(c_tptpcol_5_69635,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_90]) ).

cnf(c_0_104,plain,
    genls(c_tptpcol_4_65539,c_tptpcol_1_65536),
    inference(spm,[status(thm)],[c_0_91,c_0_92]) ).

cnf(c_0_105,plain,
    genls(c_tptpcol_16_72795,c_tptpcol_14_72792),
    inference(spm,[status(thm)],[c_0_93,c_0_94]) ).

cnf(c_0_106,plain,
    ( ~ genls(c_tptpcol_13_72791,X1)
    | genls(c_tptpcol_14_72792,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_95]) ).

cnf(c_0_107,plain,
    genls(c_tptpcol_13_72791,c_tptpcol_12_72775),
    inference(split_conjunct,[status(thm)],[ax1_491]) ).

cnf(c_0_108,plain,
    ( ~ genls(c_tptpcol_11_72774,X1)
    | genls(c_tptpcol_12_72775,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_96]) ).

cnf(c_0_109,plain,
    genls(c_tptpcol_11_72774,c_tptpcol_10_72710),
    inference(split_conjunct,[status(thm)],[ax1_449]) ).

cnf(c_0_110,plain,
    genls(c_tptpcol_10_72710,c_tptpcol_9_72709),
    inference(split_conjunct,[status(thm)],[ax1_6]) ).

cnf(c_0_111,plain,
    ( ~ genls(c_tptpcol_8_72708,X1)
    | genls(c_tptpcol_9_72709,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_97]) ).

cnf(c_0_112,plain,
    genls(c_tptpcol_8_72708,c_tptpcol_6_71683),
    inference(spm,[status(thm)],[c_0_98,c_0_99]) ).

cnf(c_0_113,plain,
    disjointwith(c_tptpcol_1_65536,c_tptpcol_15_22076),
    inference(spm,[status(thm)],[c_0_100,c_0_101]) ).

cnf(c_0_114,plain,
    ( ~ genls(c_tptpcol_5_69635,X1)
    | genls(c_tptpcol_6_71683,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_102]) ).

cnf(c_0_115,plain,
    genls(c_tptpcol_5_69635,c_tptpcol_1_65536),
    inference(spm,[status(thm)],[c_0_103,c_0_104]) ).

cnf(c_0_116,plain,
    ( ~ genls(c_tptpcol_14_72792,X1)
    | genls(c_tptpcol_16_72795,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_105]) ).

cnf(c_0_117,plain,
    genls(c_tptpcol_14_72792,c_tptpcol_12_72775),
    inference(spm,[status(thm)],[c_0_106,c_0_107]) ).

cnf(c_0_118,plain,
    genls(c_tptpcol_12_72775,c_tptpcol_10_72710),
    inference(spm,[status(thm)],[c_0_108,c_0_109]) ).

cnf(c_0_119,plain,
    ( ~ genls(c_tptpcol_9_72709,X1)
    | genls(c_tptpcol_10_72710,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_110]) ).

cnf(c_0_120,plain,
    genls(c_tptpcol_9_72709,c_tptpcol_6_71683),
    inference(spm,[status(thm)],[c_0_111,c_0_112]) ).

cnf(c_0_121,plain,
    ( ~ genls(X1,c_tptpcol_1_65536)
    | disjointwith(X1,c_tptpcol_15_22076) ),
    inference(spm,[status(thm)],[c_0_39,c_0_113]) ).

cnf(c_0_122,plain,
    genls(c_tptpcol_6_71683,c_tptpcol_1_65536),
    inference(spm,[status(thm)],[c_0_114,c_0_115]) ).

cnf(c_0_123,plain,
    genls(c_tptpcol_16_72795,c_tptpcol_12_72775),
    inference(spm,[status(thm)],[c_0_116,c_0_117]) ).

cnf(c_0_124,plain,
    ( ~ genls(c_tptpcol_10_72710,X1)
    | genls(c_tptpcol_12_72775,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_118]) ).

cnf(c_0_125,plain,
    genls(c_tptpcol_10_72710,c_tptpcol_6_71683),
    inference(spm,[status(thm)],[c_0_119,c_0_120]) ).

cnf(c_0_126,plain,
    disjointwith(c_tptpcol_6_71683,c_tptpcol_15_22076),
    inference(spm,[status(thm)],[c_0_121,c_0_122]) ).

cnf(c_0_127,plain,
    ( ~ genls(c_tptpcol_12_72775,X1)
    | genls(c_tptpcol_16_72795,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_123]) ).

cnf(c_0_128,plain,
    genls(c_tptpcol_12_72775,c_tptpcol_6_71683),
    inference(spm,[status(thm)],[c_0_124,c_0_125]) ).

fof(c_0_129,negated_conjecture,
    ~ ( mtvisible(c_tptp_member974_mt)
     => disjointwith(c_tptpcol_15_22076,c_tptpcol_16_72795) ),
    inference(assume_negation,[status(cth)],[query86]) ).

cnf(c_0_130,plain,
    ( ~ genls(X1,c_tptpcol_6_71683)
    | disjointwith(X1,c_tptpcol_15_22076) ),
    inference(spm,[status(thm)],[c_0_39,c_0_126]) ).

cnf(c_0_131,plain,
    genls(c_tptpcol_16_72795,c_tptpcol_6_71683),
    inference(spm,[status(thm)],[c_0_127,c_0_128]) ).

fof(c_0_132,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_129])]) ).

cnf(c_0_133,plain,
    disjointwith(c_tptpcol_16_72795,c_tptpcol_15_22076),
    inference(spm,[status(thm)],[c_0_130,c_0_131]) ).

cnf(c_0_134,negated_conjecture,
    ~ disjointwith(c_tptpcol_15_22076,c_tptpcol_16_72795),
    inference(split_conjunct,[status(thm)],[c_0_132]) ).

cnf(c_0_135,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_133]),c_0_134]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : CSR036+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.02  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.02/0.29  % Computer : n012.cluster.edu
% 0.02/0.29  % Model    : x86_64 x86_64
% 0.02/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.29  % Memory   : 8046.5625MB
% 0.02/0.29  % OS       : Linux 6.8.0-71-generic
% 0.02/0.29  % CPULimit : 300
% 0.02/0.29  % WCLimit  : 300
% 0.02/0.29  % DateTime : Mon Sep 21 14:28:21 UTC 2026
% 0.02/0.30  % CPUTime  : 
% 0.02/0.30  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.02/0.32  Running first-order theorem proving
% 0.02/0.32  Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 96.28/14.59  % Version: 3.5.1
% 96.28/14.59  % Preprocessing class: FMLMSMSLSSSNFFN.
% 96.28/14.59  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 96.28/14.59  % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 96.28/14.59  % Starting new_bool_3 with 600s (2) cores
% 96.28/14.59  % Starting new_bool_1 with 600s (2) cores
% 96.28/14.59  % Starting sh5l with 300s (1) cores
% 96.28/14.59  % G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 2568595 completed with status 0
% 96.28/14.59  % Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 96.28/14.59  % Preprocessing class: FMLMSMSLSSSNFFN.
% 96.28/14.59  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 96.28/14.59  % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 96.28/14.59  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 96.28/14.59  % No SInE strategy applied
% 96.28/14.59  % Search class: FHHNM-SSLM31-MFFFFFNN
% 96.28/14.59  % Scheduled 7 strats onto 3 cores with 900 seconds (900 total)
% 96.28/14.59  % Starting SubtermCWHack with 82s (1) cores
% 96.28/14.59  % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 91s (1) cores
% 96.28/14.59  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4d with 82s (1) cores
% 96.28/14.59  % G-E--_208_C18_F1_SE_CS_SP_PS_S4d with pid 2568616 completed with status 0
% 96.28/14.59  % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S4d
% 96.28/14.59  % Preprocessing class: FMLMSMSLSSSNFFN.
% 96.28/14.59  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 96.28/14.59  % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 96.28/14.59  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 96.28/14.59  % No SInE strategy applied
% 96.28/14.59  % Search class: FHHNM-SSLM31-MFFFFFNN
% 96.28/14.59  % Scheduled 7 strats onto 3 cores with 900 seconds (900 total)
% 96.28/14.59  % Starting SubtermCWHack with 82s (1) cores
% 96.28/14.59  % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 91s (1) cores
% 96.28/14.59  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4d with 82s (1) cores
% 96.28/14.59  % Preprocessing time       : 0.007 s
% 96.28/14.59  % Presaturation interreduction done
% 96.28/14.59  
% 96.28/14.59  % Proof found!
% 96.28/14.59  % SZS status Theorem
% 96.28/14.59  % SZS output start CNFRefutation
% See solution above
% 96.28/14.59  % Parsed axioms                        : 1132
% 96.28/14.59  % Removed by relevancy pruning/SinE    : 0
% 96.28/14.59  % Initial clauses                      : 1133
% 96.28/14.59  % Removed in clause preprocessing      : 0
% 96.28/14.59  % Initial clauses in saturation        : 1133
% 96.28/14.59  % Processed clauses                    : 27859
% 96.28/14.59  % ...of these trivial                  : 4353
% 96.28/14.59  % ...subsumed                          : 2002
% 96.28/14.59  % ...remaining for further processing  : 21504
% 96.28/14.59  % Other redundant clauses eliminated   : 0
% 96.28/14.59  % Clauses deleted for lack of memory   : 0
% 96.28/14.59  % Backward-subsumed                    : 1
% 96.28/14.59  % Backward-rewritten                   : 26
% 96.28/14.59  % Generated clauses                    : 60905
% 96.28/14.59  % ...of the previous two non-redundant : 35362
% 96.28/14.59  % ...aggressively subsumed             : 0
% 96.28/14.59  % Contextual simplify-reflections      : 0
% 96.28/14.59  % Paramodulations                      : 60905
% 96.28/14.59  % Factorizations                       : 0
% 96.28/14.59  % NegExts                              : 0
% 96.28/14.59  % Equation resolutions                 : 0
% 96.28/14.59  % Disequality decompositions           : 0
% 96.28/14.59  % Total rewrite steps                  : 29978
% 96.28/14.59  % ...of those cached                   : 22914
% 96.28/14.59  % Propositional unsat checks           : 0
% 96.28/14.59  %    Propositional check models        : 0
% 96.28/14.59  %    Propositional check unsatisfiable : 0
% 96.28/14.59  %    Propositional clauses             : 0
% 96.28/14.59  %    Propositional clauses after purity: 0
% 96.28/14.59  %    Propositional unsat core size     : 0
% 96.28/14.59  %    Propositional preprocessing time  : 0.000
% 96.28/14.59  %    Propositional encoding time       : 0.000
% 96.28/14.59  %    Propositional solver time         : 0.000
% 96.28/14.59  %    Success case prop preproc time    : 0.000
% 96.28/14.59  %    Success case prop encoding time   : 0.000
% 96.28/14.59  %    Success case prop solver time     : 0.000
% 96.28/14.59  % Current number of processed clauses  : 20377
% 96.28/14.59  %    Positive orientable unit clauses  : 9132
% 96.28/14.59  %    Positive unorientable unit clauses: 0
% 96.28/14.59  %    Negative unit clauses             : 7768
% 96.28/14.59  %    Non-unit-clauses                  : 3477
% 96.28/14.59  % Current number of unprocessed clauses: 9735
% 96.28/14.59  % ...number of literals in the above   : 16811
% 96.28/14.59  % Current number of archived formulas  : 0
% 96.28/14.59  % Current number of archived clauses   : 1127
% 96.28/14.59  % Clause-clause subsumption calls (NU) : 1818905
% 96.28/14.59  % Rec. Clause-clause subsumption calls : 1693998
% 96.28/14.59  % Non-unit clause-clause subsumptions  : 828
% 96.28/14.59  % Unit Clause-clause subsumption calls : 23048994
% 96.28/14.59  % Rewrite failures with RHS unbound    : 0
% 96.28/14.59  % BW rewrite match attempts            : 33
% 96.28/14.59  % BW rewrite match successes           : 15
% 96.28/14.59  % Condensation attempts                : 0
% 96.28/14.59  % Condensation successes               : 0
% 96.28/14.59  % Termbank termtop insertions          : 456394
% 96.28/14.59  % Search garbage collected termcells   : 7374
% 96.28/14.59  
% 96.28/14.59  % -------------------------------------------------
% 96.28/14.59  % User time                : 13.426 s
% 96.28/14.59  % System time              : 0.076 s
% 96.28/14.59  % Total time               : 13.502 s
% 96.28/14.59  % Maximum resident set size: 6860 pages
% 96.28/14.59  
% 96.28/14.59  % -------------------------------------------------
% 96.28/14.59  % User time                : 40.818 s
% 96.28/14.59  % System time              : 0.323 s
% 96.28/14.59  % Total time               : 41.142 s
% 96.28/14.59  % Maximum resident set size: 5888 pages
% 96.28/14.59  % E exiting
%------------------------------------------------------------------------------