TSTP Solution File: SET163-6 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SET163-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n019.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 Aug 22 10:56:07 EDT 2023

% Result   : Unsatisfiable 31.80s 18.25s
% Output   : CNFRefutation 32.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   72
% Syntax   : Number of formulae    :  139 (  34 unt;  57 typ;   0 def)
%            Number of atoms       :  143 (  43 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  124 (  63   ~;  61   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   72 (  44   >;  28   *;   0   +;   0  <<)
%            Number of predicates  :   12 (  10 usr;   1 prp; 0-3 aty)
%            Number of functors    :   47 (  47 usr;  13 con; 0-3 aty)
%            Number of variables   :  112 (; 112   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ maps > homomorphism > compatible > subclass > member > single_valued_class > operation > one_to_one > inductive > function > restrict > range > not_homomorphism2 > not_homomorphism1 > domain > unordered_pair > union > symmetric_difference > ordered_pair > not_subclass_element > intersection > image > cross_product > compose > apply > #nlpp > sum_class > successor > singleton > single_valued3 > single_valued2 > single_valued1 > second > rotate > regular > range_of > power_class > inverse > flip > first > domain_of > diagonalise > compose_class > complement > cantor > x > universal_class > successor_relation > subset_relation > singleton_relation > omega > null_class > identity_relation > element_relation > domain_relation > composition_function > choice > application_function

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(omega,type,
    omega: $i ).

tff(null_class,type,
    null_class: $i ).

tff(rotate,type,
    rotate: $i > $i ).

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

tff(singleton,type,
    singleton: $i > $i ).

tff(single_valued_class,type,
    single_valued_class: $i > $o ).

tff(operation,type,
    operation: $i > $o ).

tff(sum_class,type,
    sum_class: $i > $i ).

tff(single_valued3,type,
    single_valued3: $i > $i ).

tff(x,type,
    x: $i ).

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

tff(compose_class,type,
    compose_class: $i > $i ).

tff(apply,type,
    apply: ( $i * $i ) > $i ).

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

tff(unordered_pair,type,
    unordered_pair: ( $i * $i ) > $i ).

tff(regular,type,
    regular: $i > $i ).

tff(inverse,type,
    inverse: $i > $i ).

tff(singleton_relation,type,
    singleton_relation: $i ).

tff(ordered_pair,type,
    ordered_pair: ( $i * $i ) > $i ).

tff(one_to_one,type,
    one_to_one: $i > $o ).

tff(element_relation,type,
    element_relation: $i ).

tff(intersection,type,
    intersection: ( $i * $i ) > $i ).

tff(second,type,
    second: $i > $i ).

tff(union,type,
    union: ( $i * $i ) > $i ).

tff(function,type,
    function: $i > $o ).

tff(symmetric_difference,type,
    symmetric_difference: ( $i * $i ) > $i ).

tff(application_function,type,
    application_function: $i ).

tff(flip,type,
    flip: $i > $i ).

tff(power_class,type,
    power_class: $i > $i ).

tff(cross_product,type,
    cross_product: ( $i * $i ) > $i ).

tff(choice,type,
    choice: $i ).

tff(subset_relation,type,
    subset_relation: $i ).

tff(restrict,type,
    restrict: ( $i * $i * $i ) > $i ).

tff(complement,type,
    complement: $i > $i ).

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

tff(not_subclass_element,type,
    not_subclass_element: ( $i * $i ) > $i ).

tff(range,type,
    range: ( $i * $i * $i ) > $i ).

tff(first,type,
    first: $i > $i ).

tff(diagonalise,type,
    diagonalise: $i > $i ).

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

tff(single_valued2,type,
    single_valued2: $i > $i ).

tff(cantor,type,
    cantor: $i > $i ).

tff(image,type,
    image: ( $i * $i ) > $i ).

tff(range_of,type,
    range_of: $i > $i ).

tff(inductive,type,
    inductive: $i > $o ).

tff(domain,type,
    domain: ( $i * $i * $i ) > $i ).

tff(compose,type,
    compose: ( $i * $i ) > $i ).

tff(composition_function,type,
    composition_function: $i ).

tff(domain_of,type,
    domain_of: $i > $i ).

tff(domain_relation,type,
    domain_relation: $i ).

tff(not_homomorphism2,type,
    not_homomorphism2: ( $i * $i * $i ) > $i ).

tff(single_valued1,type,
    single_valued1: $i > $i ).

tff(successor,type,
    successor: $i > $i ).

tff(successor_relation,type,
    successor_relation: $i ).

tff(identity_relation,type,
    identity_relation: $i ).

tff(not_homomorphism1,type,
    not_homomorphism1: ( $i * $i * $i ) > $i ).

tff(universal_class,type,
    universal_class: $i ).

tff(f_480,axiom,
    ! [X] :
      ( ( X = null_class )
      | member(regular(X),X) ),
    file(unknown,unknown) ).

tff(f_195,axiom,
    ! [Z,X,Y] :
      ( ~ member(Z,intersection(X,Y))
      | member(Z,X) ),
    file(unknown,unknown) ).

tff(f_81,axiom,
    ! [X] : subclass(X,universal_class),
    file(unknown,unknown) ).

tff(f_67,axiom,
    ! [X,Y,U] :
      ( ~ subclass(X,Y)
      | ~ member(U,X)
      | member(U,Y) ),
    file(unknown,unknown) ).

tff(f_217,axiom,
    ! [Z,X] :
      ( ~ member(Z,complement(X))
      | ~ member(Z,X) ),
    file(unknown,unknown) ).

tff(f_229,axiom,
    ! [X,Y] : ( complement(intersection(complement(X),complement(Y))) = union(X,Y) ),
    file(unknown,unknown) ).

tff(f_780,axiom,
    union(universal_class,x) != universal_class,
    file(unknown,unknown) ).

tff(f_71,axiom,
    ! [X,Y] :
      ( member(not_subclass_element(X,Y),X)
      | subclass(X,Y) ),
    file(unknown,unknown) ).

tff(f_224,axiom,
    ! [Z,X] :
      ( ~ member(Z,universal_class)
      | member(Z,complement(X))
      | member(Z,X) ),
    file(unknown,unknown) ).

tff(f_76,axiom,
    ! [X,Y] :
      ( ~ member(not_subclass_element(X,Y),Y)
      | subclass(X,Y) ),
    file(unknown,unknown) ).

tff(f_238,axiom,
    ! [Xr,X,Y] : ( intersection(Xr,cross_product(X,Y)) = restrict(Xr,X,Y) ),
    file(unknown,unknown) ).

tff(f_201,axiom,
    ! [Z,X,Y] :
      ( ~ member(Z,intersection(X,Y))
      | member(Z,Y) ),
    file(unknown,unknown) ).

tff(f_251,axiom,
    ! [X,Z] :
      ( ( restrict(X,singleton(Z),universal_class) != null_class )
      | ~ member(Z,domain_of(X)) ),
    file(unknown,unknown) ).

tff(f_528,axiom,
    ! [Xr] : ( complement(domain_of(intersection(Xr,identity_relation))) = diagonalise(Xr) ),
    file(unknown,unknown) ).

tff(f_101,axiom,
    ! [X,Y] :
      ( ~ subclass(X,Y)
      | ~ subclass(Y,X)
      | ( X = Y ) ),
    file(unknown,unknown) ).

tff(c_132,plain,
    ! [X_131] :
      ( member(regular(X_131),X_131)
      | ( null_class = X_131 ) ),
    inference(cnfTransformation,[status(thm)],[f_480]) ).

tff(c_371,plain,
    ! [Z_265,X_266,Y_267] :
      ( member(Z_265,X_266)
      | ~ member(Z_265,intersection(X_266,Y_267)) ),
    inference(cnfTransformation,[status(thm)],[f_195]) ).

tff(c_4173,plain,
    ! [X_620,Y_621] :
      ( member(regular(intersection(X_620,Y_621)),X_620)
      | ( intersection(X_620,Y_621) = null_class ) ),
    inference(resolution,[status(thm)],[c_132,c_371]) ).

tff(c_8,plain,
    ! [X_8] : subclass(X_8,universal_class),
    inference(cnfTransformation,[status(thm)],[f_81]) ).

tff(c_830,plain,
    ! [U_328,Y_329,X_330] :
      ( member(U_328,Y_329)
      | ~ member(U_328,X_330)
      | ~ subclass(X_330,Y_329) ),
    inference(cnfTransformation,[status(thm)],[f_67]) ).

tff(c_871,plain,
    ! [X_131,Y_329] :
      ( member(regular(X_131),Y_329)
      | ~ subclass(X_131,Y_329)
      | ( null_class = X_131 ) ),
    inference(resolution,[status(thm)],[c_132,c_830]) ).

tff(c_1453,plain,
    ! [X_391,Y_392] :
      ( member(regular(X_391),Y_392)
      | ~ subclass(X_391,Y_392)
      | ( null_class = X_391 ) ),
    inference(resolution,[status(thm)],[c_132,c_830]) ).

tff(c_344,plain,
    ! [Z_257,X_258] :
      ( ~ member(Z_257,X_258)
      | ~ member(Z_257,complement(X_258)) ),
    inference(cnfTransformation,[status(thm)],[f_217]) ).

tff(c_359,plain,
    ! [X_258] :
      ( ~ member(regular(complement(X_258)),X_258)
      | ( complement(X_258) = null_class ) ),
    inference(resolution,[status(thm)],[c_132,c_344]) ).

tff(c_1508,plain,
    ! [Y_393] :
      ( ~ subclass(complement(Y_393),Y_393)
      | ( complement(Y_393) = null_class ) ),
    inference(resolution,[status(thm)],[c_1453,c_359]) ).

tff(c_1530,plain,
    complement(universal_class) = null_class,
    inference(resolution,[status(thm)],[c_8,c_1508]) ).

tff(c_48,plain,
    ! [Z_55,X_56] :
      ( ~ member(Z_55,X_56)
      | ~ member(Z_55,complement(X_56)) ),
    inference(cnfTransformation,[status(thm)],[f_217]) ).

tff(c_1613,plain,
    ! [Z_400] :
      ( ~ member(Z_400,universal_class)
      | ~ member(Z_400,null_class) ),
    inference(superposition,[status(thm),theory(equality)],[c_1530,c_48]) ).

tff(c_1620,plain,
    ! [X_131] :
      ( ~ member(regular(X_131),null_class)
      | ~ subclass(X_131,universal_class)
      | ( null_class = X_131 ) ),
    inference(resolution,[status(thm)],[c_871,c_1613]) ).

tff(c_1669,plain,
    ! [X_131] :
      ( ~ member(regular(X_131),null_class)
      | ( null_class = X_131 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_8,c_1620]) ).

tff(c_4285,plain,
    ! [Y_621] : ( intersection(null_class,Y_621) = null_class ),
    inference(resolution,[status(thm)],[c_4173,c_1669]) ).

tff(c_52,plain,
    ! [X_59,Y_60] : ( complement(intersection(complement(X_59),complement(Y_60))) = union(X_59,Y_60) ),
    inference(cnfTransformation,[status(thm)],[f_229]) ).

tff(c_1541,plain,
    ! [Y_60] : ( complement(intersection(null_class,complement(Y_60))) = union(universal_class,Y_60) ),
    inference(superposition,[status(thm),theory(equality)],[c_1530,c_52]) ).

tff(c_4304,plain,
    ! [Y_60] : ( union(universal_class,Y_60) = complement(null_class) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4285,c_1541]) ).

tff(c_226,plain,
    union(universal_class,x) != universal_class,
    inference(cnfTransformation,[status(thm)],[f_780]) ).

tff(c_4428,plain,
    complement(null_class) != universal_class,
    inference(demodulation,[status(thm),theory(equality)],[c_4304,c_226]) ).

tff(c_4,plain,
    ! [X_4,Y_5] :
      ( subclass(X_4,Y_5)
      | member(not_subclass_element(X_4,Y_5),X_4) ),
    inference(cnfTransformation,[status(thm)],[f_71]) ).

tff(c_1813,plain,
    ! [Z_415,X_416] :
      ( member(Z_415,X_416)
      | member(Z_415,complement(X_416))
      | ~ member(Z_415,universal_class) ),
    inference(cnfTransformation,[status(thm)],[f_224]) ).

tff(c_6,plain,
    ! [X_6,Y_7] :
      ( subclass(X_6,Y_7)
      | ~ member(not_subclass_element(X_6,Y_7),Y_7) ),
    inference(cnfTransformation,[status(thm)],[f_76]) ).

tff(c_73118,plain,
    ! [X_2484,X_2485] :
      ( subclass(X_2484,complement(X_2485))
      | member(not_subclass_element(X_2484,complement(X_2485)),X_2485)
      | ~ member(not_subclass_element(X_2484,complement(X_2485)),universal_class) ),
    inference(resolution,[status(thm)],[c_1813,c_6]) ).

tff(c_73442,plain,
    ! [X_2491] :
      ( member(not_subclass_element(universal_class,complement(X_2491)),X_2491)
      | subclass(universal_class,complement(X_2491)) ),
    inference(resolution,[status(thm)],[c_4,c_73118]) ).

tff(c_4305,plain,
    ! [Y_622] : ( intersection(null_class,Y_622) = null_class ),
    inference(resolution,[status(thm)],[c_4173,c_1669]) ).

tff(c_56,plain,
    ! [Xr_63,X_64,Y_65] : ( intersection(Xr_63,cross_product(X_64,Y_65)) = restrict(Xr_63,X_64,Y_65) ),
    inference(cnfTransformation,[status(thm)],[f_238]) ).

tff(c_4352,plain,
    ! [X_64,Y_65] : ( restrict(null_class,X_64,Y_65) = null_class ),
    inference(superposition,[status(thm),theory(equality)],[c_4305,c_56]) ).

tff(c_863,plain,
    ! [X_4,Y_5,Y_329] :
      ( member(not_subclass_element(X_4,Y_5),Y_329)
      | ~ subclass(X_4,Y_329)
      | subclass(X_4,Y_5) ),
    inference(resolution,[status(thm)],[c_4,c_830]) ).

tff(c_47164,plain,
    ! [X_1869,X_1870] :
      ( subclass(X_1869,complement(X_1870))
      | member(not_subclass_element(X_1869,complement(X_1870)),X_1870)
      | ~ member(not_subclass_element(X_1869,complement(X_1870)),universal_class) ),
    inference(resolution,[status(thm)],[c_1813,c_6]) ).

tff(c_47183,plain,
    ! [X_4,X_1870] :
      ( member(not_subclass_element(X_4,complement(X_1870)),X_1870)
      | ~ subclass(X_4,universal_class)
      | subclass(X_4,complement(X_1870)) ),
    inference(resolution,[status(thm)],[c_863,c_47164]) ).

tff(c_47231,plain,
    ! [X_1871,X_1872] :
      ( member(not_subclass_element(X_1871,complement(X_1872)),X_1872)
      | subclass(X_1871,complement(X_1872)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_8,c_47183]) ).

tff(c_504,plain,
    ! [Z_290,Y_291,X_292] :
      ( member(Z_290,Y_291)
      | ~ member(Z_290,intersection(X_292,Y_291)) ),
    inference(cnfTransformation,[status(thm)],[f_201]) ).

tff(c_4460,plain,
    ! [X_626,Y_627] :
      ( member(regular(intersection(X_626,Y_627)),Y_627)
      | ( intersection(X_626,Y_627) = null_class ) ),
    inference(resolution,[status(thm)],[c_132,c_504]) ).

tff(c_4595,plain,
    ! [X_628] : ( intersection(X_628,null_class) = null_class ),
    inference(resolution,[status(thm)],[c_4460,c_1669]) ).

tff(c_42,plain,
    ! [Z_46,X_47,Y_48] :
      ( member(Z_46,X_47)
      | ~ member(Z_46,intersection(X_47,Y_48)) ),
    inference(cnfTransformation,[status(thm)],[f_195]) ).

tff(c_22198,plain,
    ! [Z_1173,X_1174] :
      ( member(Z_1173,X_1174)
      | ~ member(Z_1173,null_class) ),
    inference(superposition,[status(thm),theory(equality)],[c_4595,c_42]) ).

tff(c_23383,plain,
    ! [Y_1202,X_1203] :
      ( member(not_subclass_element(null_class,Y_1202),X_1203)
      | subclass(null_class,Y_1202) ),
    inference(resolution,[status(thm)],[c_4,c_22198]) ).

tff(c_23506,plain,
    ! [X_1203] : subclass(null_class,X_1203),
    inference(resolution,[status(thm)],[c_23383,c_6]) ).

tff(c_1691,plain,
    ! [Z_401,X_402] :
      ( ~ member(Z_401,domain_of(X_402))
      | ( restrict(X_402,singleton(Z_401),universal_class) != null_class ) ),
    inference(cnfTransformation,[status(thm)],[f_251]) ).

tff(c_26395,plain,
    ! [X_1317] :
      ( ( restrict(X_1317,singleton(regular(domain_of(X_1317))),universal_class) != null_class )
      | ( domain_of(X_1317) = null_class ) ),
    inference(resolution,[status(thm)],[c_132,c_1691]) ).

tff(c_26409,plain,
    domain_of(null_class) = null_class,
    inference(superposition,[status(thm),theory(equality)],[c_4352,c_26395]) ).

tff(c_152,plain,
    ! [Xr_139] : ( complement(domain_of(intersection(Xr_139,identity_relation))) = diagonalise(Xr_139) ),
    inference(cnfTransformation,[status(thm)],[f_528]) ).

tff(c_347,plain,
    ! [Z_257,Xr_139] :
      ( ~ member(Z_257,domain_of(intersection(Xr_139,identity_relation)))
      | ~ member(Z_257,diagonalise(Xr_139)) ),
    inference(superposition,[status(thm),theory(equality)],[c_152,c_344]) ).

tff(c_23054,plain,
    ! [Z_1195] :
      ( ~ member(Z_1195,domain_of(null_class))
      | ~ member(Z_1195,diagonalise(null_class)) ),
    inference(superposition,[status(thm),theory(equality)],[c_4305,c_347]) ).

tff(c_23154,plain,
    ( ~ member(regular(domain_of(null_class)),diagonalise(null_class))
    | ( domain_of(null_class) = null_class ) ),
    inference(resolution,[status(thm)],[c_132,c_23054]) ).

tff(c_25876,plain,
    ~ member(regular(domain_of(null_class)),diagonalise(null_class)),
    inference(splitLeft,[status(thm)],[c_23154]) ).

tff(c_25880,plain,
    ( ~ subclass(domain_of(null_class),diagonalise(null_class))
    | ( domain_of(null_class) = null_class ) ),
    inference(resolution,[status(thm)],[c_871,c_25876]) ).

tff(c_26008,plain,
    ~ subclass(domain_of(null_class),diagonalise(null_class)),
    inference(splitLeft,[status(thm)],[c_25880]) ).

tff(c_26413,plain,
    ~ subclass(null_class,diagonalise(null_class)),
    inference(demodulation,[status(thm),theory(equality)],[c_26409,c_26008]) ).

tff(c_26425,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_23506,c_26413]) ).

tff(c_26426,plain,
    domain_of(null_class) = null_class,
    inference(splitRight,[status(thm)],[c_25880]) ).

tff(c_60,plain,
    ! [Z_70,X_69] :
      ( ~ member(Z_70,domain_of(X_69))
      | ( restrict(X_69,singleton(Z_70),universal_class) != null_class ) ),
    inference(cnfTransformation,[status(thm)],[f_251]) ).

tff(c_26489,plain,
    ! [Z_70] :
      ( ~ member(Z_70,null_class)
      | ( restrict(null_class,singleton(Z_70),universal_class) != null_class ) ),
    inference(superposition,[status(thm),theory(equality)],[c_26426,c_60]) ).

tff(c_26522,plain,
    ! [Z_70] : ~ member(Z_70,null_class),
    inference(demodulation,[status(thm),theory(equality)],[c_4352,c_26489]) ).

tff(c_47471,plain,
    ! [X_1873] : subclass(X_1873,complement(null_class)),
    inference(resolution,[status(thm)],[c_47231,c_26522]) ).

tff(c_407,plain,
    ! [Y_281,X_282] :
      ( ( Y_281 = X_282 )
      | ~ subclass(Y_281,X_282)
      | ~ subclass(X_282,Y_281) ),
    inference(cnfTransformation,[status(thm)],[f_101]) ).

tff(c_451,plain,
    ! [X_8] :
      ( ( universal_class = X_8 )
      | ~ subclass(universal_class,X_8) ),
    inference(resolution,[status(thm)],[c_8,c_407]) ).

tff(c_47671,plain,
    complement(null_class) = universal_class,
    inference(resolution,[status(thm)],[c_47471,c_451]) ).

tff(c_47737,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_4428,c_47671]) ).

tff(c_47738,plain,
    domain_of(null_class) = null_class,
    inference(splitRight,[status(thm)],[c_23154]) ).

tff(c_47800,plain,
    ! [Z_70] :
      ( ~ member(Z_70,null_class)
      | ( restrict(null_class,singleton(Z_70),universal_class) != null_class ) ),
    inference(superposition,[status(thm),theory(equality)],[c_47738,c_60]) ).

tff(c_47833,plain,
    ! [Z_70] : ~ member(Z_70,null_class),
    inference(demodulation,[status(thm),theory(equality)],[c_4352,c_47800]) ).

tff(c_73645,plain,
    subclass(universal_class,complement(null_class)),
    inference(resolution,[status(thm)],[c_73442,c_47833]) ).

tff(c_73765,plain,
    complement(null_class) = universal_class,
    inference(resolution,[status(thm)],[c_73645,c_451]) ).

tff(c_73817,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_4428,c_73765]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SET163-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.14  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.17/0.36  % Computer : n019.cluster.edu
% 0.17/0.36  % Model    : x86_64 x86_64
% 0.17/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.36  % Memory   : 8042.1875MB
% 0.17/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.36  % CPULimit : 300
% 0.17/0.36  % WCLimit  : 300
% 0.17/0.36  % DateTime : Thu Aug  3 16:54:16 EDT 2023
% 0.17/0.36  % CPUTime  : 
% 31.80/18.25  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 31.80/18.27  
% 31.80/18.27  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 32.00/18.31  
% 32.00/18.31  Inference rules
% 32.00/18.31  ----------------------
% 32.00/18.31  #Ref     : 3
% 32.00/18.31  #Sup     : 18938
% 32.00/18.31  #Fact    : 8
% 32.00/18.31  #Define  : 0
% 32.00/18.31  #Split   : 275
% 32.00/18.31  #Chain   : 0
% 32.00/18.31  #Close   : 0
% 32.00/18.31  
% 32.00/18.31  Ordering : KBO
% 32.00/18.31  
% 32.00/18.31  Simplification rules
% 32.00/18.31  ----------------------
% 32.00/18.31  #Subsume      : 5219
% 32.00/18.31  #Demod        : 6682
% 32.00/18.31  #Tautology    : 2405
% 32.00/18.31  #SimpNegUnit  : 507
% 32.00/18.31  #BackRed      : 412
% 32.00/18.31  
% 32.00/18.31  #Partial instantiations: 0
% 32.00/18.31  #Strategies tried      : 1
% 32.00/18.31  
% 32.00/18.31  Timing (in seconds)
% 32.00/18.31  ----------------------
% 32.00/18.31  Preprocessing        : 0.82
% 32.00/18.31  Parsing              : 0.42
% 32.00/18.31  CNF conversion       : 0.06
% 32.00/18.31  Main loop            : 16.35
% 32.00/18.31  Inferencing          : 2.90
% 32.00/18.31  Reduction            : 7.16
% 32.00/18.31  Demodulation         : 4.96
% 32.00/18.32  BG Simplification    : 0.18
% 32.00/18.32  Subsumption          : 4.97
% 32.00/18.32  Abstraction          : 0.20
% 32.00/18.32  MUC search           : 0.00
% 32.00/18.32  Cooper               : 0.00
% 32.00/18.32  Total                : 17.24
% 32.00/18.32  Index Insertion      : 0.00
% 32.00/18.32  Index Deletion       : 0.00
% 32.00/18.32  Index Matching       : 0.00
% 32.00/18.32  BG Taut test         : 0.00
%------------------------------------------------------------------------------