TSTP Solution File: CSR061+1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : CSR061+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n005.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 : Wed Aug 30 20:05:19 EDT 2023

% Result   : Theorem 0.18s 0.61s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   76
% Syntax   : Number of formulae    :  135 (  52 unt;  55 typ;   0 def)
%            Number of atoms       :  114 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   75 (  41   ~;  26   |;   3   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   37 (  31   >;   6   *;   0   +;   0  <<)
%            Number of predicates  :   32 (  31 usr;   1 prp; 0-2 aty)
%            Number of functors    :   24 (  24 usr;  24 con; 0-0 aty)
%            Number of variables   :   40 (   0 sgn;  16   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    c_genlmt: $i ).

tff(decl_23,type,
    transitivebinarypredicate: $i > $o ).

tff(decl_24,type,
    c_generictemporalmt: $i ).

tff(decl_25,type,
    c_basekb: $i ).

tff(decl_26,type,
    genlmt: ( $i * $i ) > $o ).

tff(decl_27,type,
    c_timehasnoendmt: $i ).

tff(decl_28,type,
    c_universalvocabularymt: $i ).

tff(decl_29,type,
    c_tptpcol_4_106497: $i ).

tff(decl_30,type,
    c_tptpcol_3_98305: $i ).

tff(decl_31,type,
    genls: ( $i * $i ) > $o ).

tff(decl_32,type,
    tptpcol_4_106497: $i > $o ).

tff(decl_33,type,
    tptpcol_3_98305: $i > $o ).

tff(decl_34,type,
    c_tptpcol_5_110593: $i ).

tff(decl_35,type,
    tptpcol_5_110593: $i > $o ).

tff(decl_36,type,
    c_tptpcol_6_112641: $i ).

tff(decl_37,type,
    tptpcol_6_112641: $i > $o ).

tff(decl_38,type,
    c_tptpcol_7_113665: $i ).

tff(decl_39,type,
    tptpcol_7_113665: $i > $o ).

tff(decl_40,type,
    c_tptpcol_8_114177: $i ).

tff(decl_41,type,
    tptpcol_8_114177: $i > $o ).

tff(decl_42,type,
    c_tptpcol_4_114689: $i ).

tff(decl_43,type,
    c_tptpcol_3_114688: $i ).

tff(decl_44,type,
    tptpcol_4_114689: $i > $o ).

tff(decl_45,type,
    tptpcol_3_114688: $i > $o ).

tff(decl_46,type,
    c_tptpcol_5_114690: $i ).

tff(decl_47,type,
    tptpcol_5_114690: $i > $o ).

tff(decl_48,type,
    c_tptpcol_6_116738: $i ).

tff(decl_49,type,
    tptpcol_6_116738: $i > $o ).

tff(decl_50,type,
    c_tptpcol_7_117762: $i ).

tff(decl_51,type,
    tptpcol_7_117762: $i > $o ).

tff(decl_52,type,
    c_tptpcol_8_117763: $i ).

tff(decl_53,type,
    tptpcol_8_117763: $i > $o ).

tff(decl_54,type,
    c_tptpcol_9_118019: $i ).

tff(decl_55,type,
    tptpcol_9_118019: $i > $o ).

tff(decl_56,type,
    c_tptpcol_10_118020: $i ).

tff(decl_57,type,
    tptpcol_10_118020: $i > $o ).

tff(decl_58,type,
    c_tptpcol_11_118084: $i ).

tff(decl_59,type,
    tptpcol_11_118084: $i > $o ).

tff(decl_60,type,
    c_tptpcol_12_118116: $i ).

tff(decl_61,type,
    tptpcol_12_118116: $i > $o ).

tff(decl_62,type,
    c_tptpcol_13_118117: $i ).

tff(decl_63,type,
    tptpcol_13_118117: $i > $o ).

tff(decl_64,type,
    c_tptpcol_14_118118: $i ).

tff(decl_65,type,
    tptpcol_14_118118: $i > $o ).

tff(decl_66,type,
    disjointwith: ( $i * $i ) > $o ).

tff(decl_67,type,
    isa: ( $i * $i ) > $o ).

tff(decl_68,type,
    genlinverse: ( $i * $i ) > $o ).

tff(decl_69,type,
    genlpreds: ( $i * $i ) > $o ).

tff(decl_70,type,
    predicate: $i > $o ).

tff(decl_71,type,
    binarypredicate: $i > $o ).

tff(decl_72,type,
    collection: $i > $o ).

tff(decl_73,type,
    mtvisible: $i > $o ).

tff(decl_74,type,
    c_transitivebinarypredicate: $i ).

tff(decl_75,type,
    microtheory: $i > $o ).

tff(decl_76,type,
    thing: $i > $o ).

fof(query61,conjecture,
    ( mtvisible(c_timehasnoendmt)
   => disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query61) ).

fof(just56,axiom,
    ! [X13,X9,X14] :
      ( ( disjointwith(X13,X9)
        & genls(X14,X13) )
     => disjointwith(X14,X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just56) ).

fof(just13,axiom,
    genls(c_tptpcol_8_114177,c_tptpcol_7_113665),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just13) ).

fof(just55,axiom,
    ! [X7,X13,X14] :
      ( ( disjointwith(X7,X13)
        & genls(X14,X13) )
     => disjointwith(X7,X14) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just55) ).

fof(just35,axiom,
    genls(c_tptpcol_14_118118,c_tptpcol_13_118117),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just35) ).

fof(just11,axiom,
    genls(c_tptpcol_7_113665,c_tptpcol_6_112641),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just11) ).

fof(just9,axiom,
    genls(c_tptpcol_6_112641,c_tptpcol_5_110593),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).

fof(just7,axiom,
    genls(c_tptpcol_5_110593,c_tptpcol_4_106497),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just7) ).

fof(just33,axiom,
    genls(c_tptpcol_13_118117,c_tptpcol_12_118116),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just33) ).

fof(just31,axiom,
    genls(c_tptpcol_12_118116,c_tptpcol_11_118084),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just31) ).

fof(just29,axiom,
    genls(c_tptpcol_11_118084,c_tptpcol_10_118020),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just29) ).

fof(just27,axiom,
    genls(c_tptpcol_10_118020,c_tptpcol_9_118019),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just27) ).

fof(just54,axiom,
    ! [X10,X11] :
      ( disjointwith(X10,X11)
     => disjointwith(X11,X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just54) ).

fof(just25,axiom,
    genls(c_tptpcol_9_118019,c_tptpcol_8_117763),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just25) ).

fof(just15,axiom,
    genls(c_tptpcol_4_114689,c_tptpcol_3_114688),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just15) ).

fof(just37,axiom,
    disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just37) ).

fof(just23,axiom,
    genls(c_tptpcol_8_117763,c_tptpcol_7_117762),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just23) ).

fof(just5,axiom,
    genls(c_tptpcol_4_106497,c_tptpcol_3_98305),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just5) ).

fof(just17,axiom,
    genls(c_tptpcol_5_114690,c_tptpcol_4_114689),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just17) ).

fof(just21,axiom,
    genls(c_tptpcol_7_117762,c_tptpcol_6_116738),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just21) ).

fof(just19,axiom,
    genls(c_tptpcol_6_116738,c_tptpcol_5_114690),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just19) ).

fof(c_0_21,negated_conjecture,
    ~ ( mtvisible(c_timehasnoendmt)
     => disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118) ),
    inference(assume_negation,[status(cth)],[query61]) ).

fof(c_0_22,plain,
    ! [X72,X73,X74] :
      ( ~ disjointwith(X72,X73)
      | ~ genls(X74,X72)
      | disjointwith(X74,X73) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just56])]) ).

fof(c_0_23,negated_conjecture,
    ( mtvisible(c_timehasnoendmt)
    & ~ disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118) ),
    inference(fof_nnf,[status(thm)],[c_0_21]) ).

cnf(c_0_24,plain,
    ( disjointwith(X3,X2)
    | ~ disjointwith(X1,X2)
    | ~ genls(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_25,plain,
    genls(c_tptpcol_8_114177,c_tptpcol_7_113665),
    inference(split_conjunct,[status(thm)],[just13]) ).

fof(c_0_26,plain,
    ! [X69,X70,X71] :
      ( ~ disjointwith(X69,X70)
      | ~ genls(X71,X70)
      | disjointwith(X69,X71) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just55])]) ).

cnf(c_0_27,negated_conjecture,
    ~ disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_28,plain,
    ( disjointwith(c_tptpcol_8_114177,X1)
    | ~ disjointwith(c_tptpcol_7_113665,X1) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_29,plain,
    ( disjointwith(X1,X3)
    | ~ disjointwith(X1,X2)
    | ~ genls(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_30,plain,
    genls(c_tptpcol_14_118118,c_tptpcol_13_118117),
    inference(split_conjunct,[status(thm)],[just35]) ).

cnf(c_0_31,negated_conjecture,
    ~ disjointwith(c_tptpcol_7_113665,c_tptpcol_14_118118),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_32,plain,
    ( disjointwith(X1,c_tptpcol_14_118118)
    | ~ disjointwith(X1,c_tptpcol_13_118117) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_33,plain,
    genls(c_tptpcol_7_113665,c_tptpcol_6_112641),
    inference(split_conjunct,[status(thm)],[just11]) ).

cnf(c_0_34,negated_conjecture,
    ~ disjointwith(c_tptpcol_7_113665,c_tptpcol_13_118117),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_35,plain,
    ( disjointwith(c_tptpcol_7_113665,X1)
    | ~ disjointwith(c_tptpcol_6_112641,X1) ),
    inference(spm,[status(thm)],[c_0_24,c_0_33]) ).

cnf(c_0_36,plain,
    genls(c_tptpcol_6_112641,c_tptpcol_5_110593),
    inference(split_conjunct,[status(thm)],[just9]) ).

cnf(c_0_37,negated_conjecture,
    ~ disjointwith(c_tptpcol_6_112641,c_tptpcol_13_118117),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_38,plain,
    ( disjointwith(c_tptpcol_6_112641,X1)
    | ~ disjointwith(c_tptpcol_5_110593,X1) ),
    inference(spm,[status(thm)],[c_0_24,c_0_36]) ).

cnf(c_0_39,plain,
    genls(c_tptpcol_5_110593,c_tptpcol_4_106497),
    inference(split_conjunct,[status(thm)],[just7]) ).

cnf(c_0_40,negated_conjecture,
    ~ disjointwith(c_tptpcol_5_110593,c_tptpcol_13_118117),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_41,plain,
    ( disjointwith(c_tptpcol_5_110593,X1)
    | ~ disjointwith(c_tptpcol_4_106497,X1) ),
    inference(spm,[status(thm)],[c_0_24,c_0_39]) ).

cnf(c_0_42,plain,
    genls(c_tptpcol_13_118117,c_tptpcol_12_118116),
    inference(split_conjunct,[status(thm)],[just33]) ).

cnf(c_0_43,negated_conjecture,
    ~ disjointwith(c_tptpcol_4_106497,c_tptpcol_13_118117),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_44,plain,
    ( disjointwith(X1,c_tptpcol_13_118117)
    | ~ disjointwith(X1,c_tptpcol_12_118116) ),
    inference(spm,[status(thm)],[c_0_29,c_0_42]) ).

cnf(c_0_45,plain,
    genls(c_tptpcol_12_118116,c_tptpcol_11_118084),
    inference(split_conjunct,[status(thm)],[just31]) ).

cnf(c_0_46,negated_conjecture,
    ~ disjointwith(c_tptpcol_4_106497,c_tptpcol_12_118116),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_47,plain,
    ( disjointwith(X1,c_tptpcol_12_118116)
    | ~ disjointwith(X1,c_tptpcol_11_118084) ),
    inference(spm,[status(thm)],[c_0_29,c_0_45]) ).

cnf(c_0_48,plain,
    genls(c_tptpcol_11_118084,c_tptpcol_10_118020),
    inference(split_conjunct,[status(thm)],[just29]) ).

cnf(c_0_49,negated_conjecture,
    ~ disjointwith(c_tptpcol_4_106497,c_tptpcol_11_118084),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_50,plain,
    ( disjointwith(X1,c_tptpcol_11_118084)
    | ~ disjointwith(X1,c_tptpcol_10_118020) ),
    inference(spm,[status(thm)],[c_0_29,c_0_48]) ).

cnf(c_0_51,plain,
    genls(c_tptpcol_10_118020,c_tptpcol_9_118019),
    inference(split_conjunct,[status(thm)],[just27]) ).

fof(c_0_52,plain,
    ! [X67,X68] :
      ( ~ disjointwith(X67,X68)
      | disjointwith(X68,X67) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just54])]) ).

cnf(c_0_53,negated_conjecture,
    ~ disjointwith(c_tptpcol_4_106497,c_tptpcol_10_118020),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_54,plain,
    ( disjointwith(X1,c_tptpcol_10_118020)
    | ~ disjointwith(X1,c_tptpcol_9_118019) ),
    inference(spm,[status(thm)],[c_0_29,c_0_51]) ).

cnf(c_0_55,plain,
    genls(c_tptpcol_9_118019,c_tptpcol_8_117763),
    inference(split_conjunct,[status(thm)],[just25]) ).

cnf(c_0_56,plain,
    genls(c_tptpcol_4_114689,c_tptpcol_3_114688),
    inference(split_conjunct,[status(thm)],[just15]) ).

cnf(c_0_57,plain,
    ( disjointwith(X2,X1)
    | ~ disjointwith(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_58,plain,
    disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688),
    inference(split_conjunct,[status(thm)],[just37]) ).

cnf(c_0_59,negated_conjecture,
    ~ disjointwith(c_tptpcol_4_106497,c_tptpcol_9_118019),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_60,plain,
    ( disjointwith(X1,c_tptpcol_9_118019)
    | ~ disjointwith(X1,c_tptpcol_8_117763) ),
    inference(spm,[status(thm)],[c_0_29,c_0_55]) ).

cnf(c_0_61,plain,
    genls(c_tptpcol_8_117763,c_tptpcol_7_117762),
    inference(split_conjunct,[status(thm)],[just23]) ).

cnf(c_0_62,plain,
    genls(c_tptpcol_4_106497,c_tptpcol_3_98305),
    inference(split_conjunct,[status(thm)],[just5]) ).

cnf(c_0_63,plain,
    genls(c_tptpcol_5_114690,c_tptpcol_4_114689),
    inference(split_conjunct,[status(thm)],[just17]) ).

cnf(c_0_64,plain,
    ( disjointwith(c_tptpcol_4_114689,X1)
    | ~ disjointwith(c_tptpcol_3_114688,X1) ),
    inference(spm,[status(thm)],[c_0_24,c_0_56]) ).

cnf(c_0_65,plain,
    disjointwith(c_tptpcol_3_114688,c_tptpcol_3_98305),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_66,negated_conjecture,
    ~ disjointwith(c_tptpcol_4_106497,c_tptpcol_8_117763),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_67,plain,
    ( disjointwith(X1,c_tptpcol_8_117763)
    | ~ disjointwith(X1,c_tptpcol_7_117762) ),
    inference(spm,[status(thm)],[c_0_29,c_0_61]) ).

cnf(c_0_68,plain,
    genls(c_tptpcol_7_117762,c_tptpcol_6_116738),
    inference(split_conjunct,[status(thm)],[just21]) ).

cnf(c_0_69,plain,
    ( disjointwith(X1,c_tptpcol_4_106497)
    | ~ disjointwith(X1,c_tptpcol_3_98305) ),
    inference(spm,[status(thm)],[c_0_29,c_0_62]) ).

cnf(c_0_70,plain,
    ( disjointwith(c_tptpcol_5_114690,X1)
    | ~ disjointwith(c_tptpcol_4_114689,X1) ),
    inference(spm,[status(thm)],[c_0_24,c_0_63]) ).

cnf(c_0_71,plain,
    disjointwith(c_tptpcol_4_114689,c_tptpcol_3_98305),
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_72,negated_conjecture,
    ~ disjointwith(c_tptpcol_4_106497,c_tptpcol_7_117762),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_73,plain,
    ( disjointwith(X1,c_tptpcol_7_117762)
    | ~ disjointwith(X1,c_tptpcol_6_116738) ),
    inference(spm,[status(thm)],[c_0_29,c_0_68]) ).

cnf(c_0_74,plain,
    genls(c_tptpcol_6_116738,c_tptpcol_5_114690),
    inference(split_conjunct,[status(thm)],[just19]) ).

cnf(c_0_75,plain,
    disjointwith(c_tptpcol_5_114690,c_tptpcol_4_106497),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71])]) ).

cnf(c_0_76,negated_conjecture,
    ~ disjointwith(c_tptpcol_4_106497,c_tptpcol_6_116738),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_77,plain,
    ( disjointwith(X1,c_tptpcol_6_116738)
    | ~ disjointwith(X1,c_tptpcol_5_114690) ),
    inference(spm,[status(thm)],[c_0_29,c_0_74]) ).

cnf(c_0_78,plain,
    disjointwith(c_tptpcol_4_106497,c_tptpcol_5_114690),
    inference(spm,[status(thm)],[c_0_57,c_0_75]) ).

cnf(c_0_79,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : CSR061+1 : TPTP v8.1.2. Released v3.4.0.
% 0.11/0.12  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33  % Computer : n005.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 28 11:48:23 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.18/0.56  start to proof: theBenchmark
% 0.18/0.61  % Version  : CSE_E---1.5
% 0.18/0.61  % Problem  : theBenchmark.p
% 0.18/0.61  % Proof found
% 0.18/0.61  % SZS status Theorem for theBenchmark.p
% 0.18/0.61  % SZS output start Proof
% See solution above
% 0.18/0.62  % Total time : 0.042000 s
% 0.18/0.62  % SZS output end Proof
% 0.18/0.62  % Total time : 0.046000 s
%------------------------------------------------------------------------------