TSTP Solution File: SET120-7 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SET120-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% 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 : n026.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 10:56:02 EDT 2023

% Result   : Unsatisfiable 88.99s 70.59s
% Output   : CNFRefutation 88.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   73
% Syntax   : Number of formulae    :  133 (  36 unt;  51 typ;   0 def)
%            Number of atoms       :  142 (  70 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  111 (  51   ~;  60   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   67 (  41   >;  26   *;   0   +;   0  <<)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-3 aty)
%            Number of functors    :   42 (  42 usr;  10 con; 0-3 aty)
%            Number of variables   :  103 (; 103   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ 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 > second > rotate > regular > range_of > power_class > member_of1 > member_of > inverse > flip > first > domain_of > diagonalise > complement > cantor > y > x > universal_class > successor_relation > subset_relation > omega > null_class > identity_relation > element_relation > choice

%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(x,type,
    x: $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(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(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(y,type,
    y: $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(member_of1,type,
    member_of1: $i > $i ).

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

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

tff(not_homomorphism2,type,
    not_homomorphism2: ( $i * $i * $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_1078,axiom,
    ! [X] :
      ( ( ordered_pair(first(X),second(X)) = X )
      | ( second(X) = X ) ),
    file(unknown,unknown) ).

tff(f_1070,axiom,
    ! [X] :
      ( member(ordered_pair(first(X),second(X)),cross_product(universal_class,universal_class))
      | ( second(X) = X ) ),
    file(unknown,unknown) ).

tff(f_1091,axiom,
    ~ member(x,universal_class),
    file(unknown,unknown) ).

tff(f_848,axiom,
    ! [X] :
      ( member(X,universal_class)
      | ( singleton(X) = null_class ) ),
    file(unknown,unknown) ).

tff(f_758,axiom,
    ! [X,Y] :
      ( member(X,universal_class)
      | ( unordered_pair(X,Y) = singleton(Y) ) ),
    file(unknown,unknown) ).

tff(f_129,axiom,
    ! [X,Y] : ( unordered_pair(singleton(X),unordered_pair(X,singleton(Y))) = ordered_pair(X,Y) ),
    file(unknown,unknown) ).

tff(f_490,axiom,
    ! [Y] :
      ( ~ member(Y,universal_class)
      | ( Y = null_class )
      | member(apply(choice,Y),Y) ),
    file(unknown,unknown) ).

tff(f_835,axiom,
    ! [X] :
      ( ~ member(X,universal_class)
      | ( singleton(X) != null_class ) ),
    file(unknown,unknown) ).

tff(f_754,axiom,
    ! [Y,X] :
      ( member(Y,universal_class)
      | ( unordered_pair(X,Y) = singleton(X) ) ),
    file(unknown,unknown) ).

tff(f_744,axiom,
    ! [X,Y] : ( unordered_pair(X,Y) = unordered_pair(Y,X) ),
    file(unknown,unknown) ).

tff(f_661,axiom,
    ! [U,V,X,Y] :
      ( ~ member(ordered_pair(U,V),cross_product(X,Y))
      | member(U,universal_class) ),
    file(unknown,unknown) ).

tff(f_1093,axiom,
    second(ordered_pair(x,y)) != ordered_pair(x,y),
    file(unknown,unknown) ).

tff(f_124,axiom,
    ! [X] : ( unordered_pair(X,X) = singleton(X) ),
    file(unknown,unknown) ).

tff(f_151,axiom,
    ! [U,X,V,Y] :
      ( ~ member(U,X)
      | ~ member(V,Y)
      | member(ordered_pair(U,V),cross_product(X,Y)) ),
    file(unknown,unknown) ).

tff(f_655,axiom,
    ! [X,Y,U,V] :
      ( ~ member(ordered_pair(X,Y),cross_product(U,V))
      | member(Y,unordered_pair(X,Y)) ),
    file(unknown,unknown) ).

tff(f_724,axiom,
    ! [Z] : ~ member(Z,null_class),
    file(unknown,unknown) ).

tff(f_890,axiom,
    ! [Y] :
      ( ~ member(Y,universal_class)
      | ( singleton(member_of(singleton(Y))) = singleton(Y) ) ),
    file(unknown,unknown) ).

tff(f_843,axiom,
    ! [Y,X] :
      ( ~ member(Y,singleton(X))
      | ( Y = X ) ),
    file(unknown,unknown) ).

tff(f_471,axiom,
    ! [X] :
      ( ( X = null_class )
      | member(regular(X),X) ),
    file(unknown,unknown) ).

tff(f_931,axiom,
    ! [X,Y] :
      ( ( singleton(member_of(X)) != X )
      | ~ member(Y,X)
      | ( member_of(X) = Y ) ),
    file(unknown,unknown) ).

tff(f_475,axiom,
    ! [X] :
      ( ( X = null_class )
      | ( intersection(X,regular(X)) = null_class ) ),
    file(unknown,unknown) ).

tff(f_200,axiom,
    ! [Z,X,Y] :
      ( ~ member(Z,X)
      | ~ member(Z,Y)
      | member(Z,intersection(X,Y)) ),
    file(unknown,unknown) ).

tff(c_326,plain,
    ! [X_307] :
      ( ( second(X_307) = X_307 )
      | ( ordered_pair(first(X_307),second(X_307)) = X_307 ) ),
    inference(cnfTransformation,[status(thm)],[f_1078]) ).

tff(c_7085,plain,
    ! [X_680] :
      ( ( second(X_680) = X_680 )
      | member(ordered_pair(first(X_680),second(X_680)),cross_product(universal_class,universal_class)) ),
    inference(cnfTransformation,[status(thm)],[f_1070]) ).

tff(c_238671,plain,
    ! [X_89849] :
      ( ( second(X_89849) = X_89849 )
      | member(X_89849,cross_product(universal_class,universal_class))
      | ( second(X_89849) = X_89849 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_326,c_7085]) ).

tff(c_332,plain,
    ~ member(x,universal_class),
    inference(cnfTransformation,[status(thm)],[f_1091]) ).

tff(c_438,plain,
    ! [X_331] :
      ( ( singleton(X_331) = null_class )
      | member(X_331,universal_class) ),
    inference(cnfTransformation,[status(thm)],[f_848]) ).

tff(c_446,plain,
    singleton(x) = null_class,
    inference(resolution,[status(thm)],[c_438,c_332]) ).

tff(c_1409,plain,
    ! [X_433,Y_434] :
      ( ( unordered_pair(X_433,Y_434) = singleton(Y_434) )
      | member(X_433,universal_class) ),
    inference(cnfTransformation,[status(thm)],[f_758]) ).

tff(c_1494,plain,
    ! [Y_434] : ( unordered_pair(x,Y_434) = singleton(Y_434) ),
    inference(resolution,[status(thm)],[c_1409,c_332]) ).

tff(c_4056,plain,
    ! [X_541,Y_542] : ( unordered_pair(singleton(X_541),unordered_pair(X_541,singleton(Y_542))) = ordered_pair(X_541,Y_542) ),
    inference(cnfTransformation,[status(thm)],[f_129]) ).

tff(c_4140,plain,
    ! [Y_542] : ( unordered_pair(singleton(x),singleton(singleton(Y_542))) = ordered_pair(x,Y_542) ),
    inference(superposition,[status(thm),theory(equality)],[c_1494,c_4056]) ).

tff(c_4196,plain,
    ! [Y_542] : ( unordered_pair(null_class,singleton(singleton(Y_542))) = ordered_pair(x,Y_542) ),
    inference(demodulation,[status(thm),theory(equality)],[c_446,c_4140]) ).

tff(c_252,plain,
    ! [X_247] :
      ( ( singleton(X_247) = null_class )
      | member(X_247,universal_class) ),
    inference(cnfTransformation,[status(thm)],[f_848]) ).

tff(c_5207,plain,
    ! [Y_581] :
      ( member(apply(choice,Y_581),Y_581)
      | ( null_class = Y_581 )
      | ~ member(Y_581,universal_class) ),
    inference(cnfTransformation,[status(thm)],[f_490]) ).

tff(c_246,plain,
    ! [X_244] :
      ( ( singleton(X_244) != null_class )
      | ~ member(X_244,universal_class) ),
    inference(cnfTransformation,[status(thm)],[f_835]) ).

tff(c_5265,plain,
    ( ( singleton(apply(choice,universal_class)) != null_class )
    | ( universal_class = null_class )
    | ~ member(universal_class,universal_class) ),
    inference(resolution,[status(thm)],[c_5207,c_246]) ).

tff(c_159871,plain,
    ~ member(universal_class,universal_class),
    inference(splitLeft,[status(thm)],[c_5265]) ).

tff(c_159930,plain,
    singleton(universal_class) = null_class,
    inference(resolution,[status(thm)],[c_252,c_159871]) ).

tff(c_222,plain,
    ! [X_218,Y_217] :
      ( ( unordered_pair(X_218,Y_217) = singleton(X_218) )
      | member(Y_217,universal_class) ),
    inference(cnfTransformation,[status(thm)],[f_754]) ).

tff(c_160787,plain,
    ! [X_89065] : ( unordered_pair(X_89065,universal_class) = singleton(X_89065) ),
    inference(resolution,[status(thm)],[c_222,c_159871]) ).

tff(c_216,plain,
    ! [Y_212,X_211] : ( unordered_pair(Y_212,X_211) = unordered_pair(X_211,Y_212) ),
    inference(cnfTransformation,[status(thm)],[f_744]) ).

tff(c_4163,plain,
    ! [X_211,Y_542] : ( unordered_pair(singleton(X_211),unordered_pair(singleton(Y_542),X_211)) = ordered_pair(X_211,Y_542) ),
    inference(superposition,[status(thm),theory(equality)],[c_216,c_4056]) ).

tff(c_160809,plain,
    ! [Y_542] : ( unordered_pair(singleton(universal_class),singleton(singleton(Y_542))) = ordered_pair(universal_class,Y_542) ),
    inference(superposition,[status(thm),theory(equality)],[c_160787,c_4163]) ).

tff(c_161143,plain,
    ! [Y_89071] : ( ordered_pair(x,Y_89071) = ordered_pair(universal_class,Y_89071) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4196,c_159930,c_160809]) ).

tff(c_188,plain,
    ! [U_185,V_186,X_187,Y_188] :
      ( member(U_185,universal_class)
      | ~ member(ordered_pair(U_185,V_186),cross_product(X_187,Y_188)) ),
    inference(cnfTransformation,[status(thm)],[f_661]) ).

tff(c_161250,plain,
    ! [Y_89071,X_187,Y_188] :
      ( member(x,universal_class)
      | ~ member(ordered_pair(universal_class,Y_89071),cross_product(X_187,Y_188)) ),
    inference(superposition,[status(thm),theory(equality)],[c_161143,c_188]) ).

tff(c_161321,plain,
    ! [Y_89071,X_187,Y_188] : ~ member(ordered_pair(universal_class,Y_89071),cross_product(X_187,Y_188)),
    inference(negUnitSimplification,[status(thm)],[c_332,c_161250]) ).

tff(c_238812,plain,
    ! [Y_89071] : ( second(ordered_pair(universal_class,Y_89071)) = ordered_pair(universal_class,Y_89071) ),
    inference(resolution,[status(thm)],[c_238671,c_161321]) ).

tff(c_160978,plain,
    ! [Y_542] : ( ordered_pair(x,Y_542) = ordered_pair(universal_class,Y_542) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4196,c_159930,c_160809]) ).

tff(c_334,plain,
    second(ordered_pair(x,y)) != ordered_pair(x,y),
    inference(cnfTransformation,[status(thm)],[f_1093]) ).

tff(c_161140,plain,
    second(ordered_pair(universal_class,y)) != ordered_pair(universal_class,y),
    inference(demodulation,[status(thm),theory(equality)],[c_160978,c_160978,c_334]) ).

tff(c_238844,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_238812,c_161140]) ).

tff(c_238846,plain,
    member(universal_class,universal_class),
    inference(splitRight,[status(thm)],[c_5265]) ).

tff(c_24,plain,
    ! [X_24] : ( unordered_pair(X_24,X_24) = singleton(X_24) ),
    inference(cnfTransformation,[status(thm)],[f_124]) ).

tff(c_9076,plain,
    ! [U_736,V_737,X_738,Y_739] :
      ( member(ordered_pair(U_736,V_737),cross_product(X_738,Y_739))
      | ~ member(V_737,Y_739)
      | ~ member(U_736,X_738) ),
    inference(cnfTransformation,[status(thm)],[f_151]) ).

tff(c_186,plain,
    ! [Y_182,X_181,U_183,V_184] :
      ( member(Y_182,unordered_pair(X_181,Y_182))
      | ~ member(ordered_pair(X_181,Y_182),cross_product(U_183,V_184)) ),
    inference(cnfTransformation,[status(thm)],[f_655]) ).

tff(c_307635,plain,
    ! [V_90586,U_90587,Y_90588,X_90589] :
      ( member(V_90586,unordered_pair(U_90587,V_90586))
      | ~ member(V_90586,Y_90588)
      | ~ member(U_90587,X_90589) ),
    inference(resolution,[status(thm)],[c_9076,c_186]) ).

tff(c_308250,plain,
    ! [U_90590,X_90591] :
      ( member(universal_class,unordered_pair(U_90590,universal_class))
      | ~ member(U_90590,X_90591) ),
    inference(resolution,[status(thm)],[c_238846,c_307635]) ).

tff(c_308430,plain,
    member(universal_class,unordered_pair(universal_class,universal_class)),
    inference(resolution,[status(thm)],[c_238846,c_308250]) ).

tff(c_308781,plain,
    member(universal_class,singleton(universal_class)),
    inference(demodulation,[status(thm),theory(equality)],[c_24,c_308430]) ).

tff(c_206,plain,
    ! [Z_207] : ~ member(Z_207,null_class),
    inference(cnfTransformation,[status(thm)],[f_724]) ).

tff(c_238886,plain,
    singleton(universal_class) != null_class,
    inference(resolution,[status(thm)],[c_238846,c_246]) ).

tff(c_3568,plain,
    ! [Y_532] :
      ( ( singleton(member_of(singleton(Y_532))) = singleton(Y_532) )
      | ~ member(Y_532,universal_class) ),
    inference(cnfTransformation,[status(thm)],[f_890]) ).

tff(c_250,plain,
    ! [Y_245,X_246] :
      ( ( Y_245 = X_246 )
      | ~ member(Y_245,singleton(X_246)) ),
    inference(cnfTransformation,[status(thm)],[f_843]) ).

tff(c_3728,plain,
    ! [Y_532,Y_245] :
      ( ( member_of(singleton(Y_532)) = Y_245 )
      | ~ member(Y_245,singleton(Y_532))
      | ~ member(Y_532,universal_class) ),
    inference(superposition,[status(thm),theory(equality)],[c_3568,c_250]) ).

tff(c_308943,plain,
    ( ( member_of(singleton(universal_class)) = universal_class )
    | ~ member(universal_class,universal_class) ),
    inference(resolution,[status(thm)],[c_308781,c_3728]) ).

tff(c_308970,plain,
    member_of(singleton(universal_class)) = universal_class,
    inference(demodulation,[status(thm),theory(equality)],[c_238846,c_308943]) ).

tff(c_132,plain,
    ! [X_131] :
      ( member(regular(X_131),X_131)
      | ( null_class = X_131 ) ),
    inference(cnfTransformation,[status(thm)],[f_471]) ).

tff(c_4731,plain,
    ! [X_560,Y_561] :
      ( ( member_of(X_560) = Y_561 )
      | ~ member(Y_561,X_560)
      | ( singleton(member_of(X_560)) != X_560 ) ),
    inference(cnfTransformation,[status(thm)],[f_931]) ).

tff(c_4874,plain,
    ! [X_131] :
      ( ( regular(X_131) = member_of(X_131) )
      | ( singleton(member_of(X_131)) != X_131 )
      | ( null_class = X_131 ) ),
    inference(resolution,[status(thm)],[c_132,c_4731]) ).

tff(c_309032,plain,
    ( ( regular(singleton(universal_class)) = member_of(singleton(universal_class)) )
    | ( singleton(universal_class) = null_class ) ),
    inference(superposition,[status(thm),theory(equality)],[c_308970,c_4874]) ).

tff(c_309150,plain,
    ( ( regular(singleton(universal_class)) = universal_class )
    | ( singleton(universal_class) = null_class ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_308970,c_309032]) ).

tff(c_309151,plain,
    regular(singleton(universal_class)) = universal_class,
    inference(negUnitSimplification,[status(thm)],[c_238886,c_309150]) ).

tff(c_134,plain,
    ! [X_132] :
      ( ( intersection(X_132,regular(X_132)) = null_class )
      | ( null_class = X_132 ) ),
    inference(cnfTransformation,[status(thm)],[f_475]) ).

tff(c_309314,plain,
    ( ( intersection(singleton(universal_class),universal_class) = null_class )
    | ( singleton(universal_class) = null_class ) ),
    inference(superposition,[status(thm),theory(equality)],[c_309151,c_134]) ).

tff(c_309350,plain,
    intersection(singleton(universal_class),universal_class) = null_class,
    inference(negUnitSimplification,[status(thm)],[c_238886,c_309314]) ).

tff(c_46,plain,
    ! [Z_52,X_53,Y_54] :
      ( member(Z_52,intersection(X_53,Y_54))
      | ~ member(Z_52,Y_54)
      | ~ member(Z_52,X_53) ),
    inference(cnfTransformation,[status(thm)],[f_200]) ).

tff(c_310018,plain,
    ! [Z_52] :
      ( member(Z_52,null_class)
      | ~ member(Z_52,universal_class)
      | ~ member(Z_52,singleton(universal_class)) ),
    inference(superposition,[status(thm),theory(equality)],[c_309350,c_46]) ).

tff(c_311095,plain,
    ! [Z_90604] :
      ( ~ member(Z_90604,universal_class)
      | ~ member(Z_90604,singleton(universal_class)) ),
    inference(negUnitSimplification,[status(thm)],[c_206,c_310018]) ).

tff(c_311098,plain,
    ~ member(universal_class,universal_class),
    inference(resolution,[status(thm)],[c_308781,c_311095]) ).

tff(c_311256,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_238846,c_311098]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SET120-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% 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
% 0.16/0.35  % Computer : n026.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit : 300
% 0.16/0.35  % WCLimit  : 300
% 0.16/0.35  % DateTime : Thu Aug  3 17:18:31 EDT 2023
% 0.16/0.35  % CPUTime  : 
% 88.99/70.59  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 88.99/70.61  
% 88.99/70.61  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 88.99/70.65  
% 88.99/70.65  Inference rules
% 88.99/70.65  ----------------------
% 88.99/70.65  #Ref     : 121
% 88.99/70.65  #Sup     : 81401
% 88.99/70.65  #Fact    : 28
% 88.99/70.65  #Define  : 0
% 88.99/70.65  #Split   : 281
% 88.99/70.65  #Chain   : 0
% 88.99/70.65  #Close   : 0
% 88.99/70.65  
% 88.99/70.65  Ordering : KBO
% 88.99/70.65  
% 88.99/70.65  Simplification rules
% 88.99/70.65  ----------------------
% 88.99/70.65  #Subsume      : 23558
% 88.99/70.65  #Demod        : 37171
% 88.99/70.65  #Tautology    : 17823
% 88.99/70.65  #SimpNegUnit  : 6587
% 88.99/70.65  #BackRed      : 1900
% 88.99/70.65  
% 88.99/70.65  #Partial instantiations: 7330
% 88.99/70.65  #Strategies tried      : 1
% 88.99/70.65  
% 88.99/70.65  Timing (in seconds)
% 88.99/70.65  ----------------------
% 88.99/70.65  Preprocessing        : 0.85
% 88.99/70.65  Parsing              : 0.39
% 88.99/70.65  CNF conversion       : 0.06
% 88.99/70.65  Main loop            : 68.70
% 88.99/70.65  Inferencing          : 9.74
% 88.99/70.65  Reduction            : 32.02
% 88.99/70.65  Demodulation         : 23.21
% 88.99/70.65  BG Simplification    : 0.40
% 88.99/70.65  Subsumption          : 20.73
% 88.99/70.65  Abstraction          : 0.67
% 88.99/70.65  MUC search           : 0.00
% 88.99/70.65  Cooper               : 0.00
% 88.99/70.65  Total                : 69.63
% 88.99/70.65  Index Insertion      : 0.00
% 88.99/70.65  Index Deletion       : 0.00
% 88.99/70.65  Index Matching       : 0.00
% 88.99/70.65  BG Taut test         : 0.00
%------------------------------------------------------------------------------