TSTP Solution File: SET122-7 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SET122-7 : 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 : n025.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 10:56:03 EDT 2023
% Result : Unsatisfiable 71.99s 54.28s
% Output : CNFRefutation 72.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 91
% Syntax : Number of formulae : 254 ( 106 unt; 51 typ; 0 def)
% Number of atoms : 336 ( 137 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 275 ( 142 ~; 133 |; 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 : 248 (; 248 !; 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_740,axiom,
member(null_class,universal_class),
file(unknown,unknown) ).
tff(f_72,axiom,
! [X] : subclass(X,universal_class),
file(unknown,unknown) ).
tff(f_363,axiom,
! [X] :
( ~ member(null_class,X)
| ~ subclass(image(successor_relation,X),X)
| inductive(X) ),
file(unknown,unknown) ).
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_1102,axiom,
~ member(y,universal_class),
file(unknown,unknown) ).
tff(f_848,axiom,
! [X] :
( member(X,universal_class)
| ( singleton(X) = null_class ) ),
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_985,axiom,
! [X,Y] :
( ( unordered_pair(singleton(X),unordered_pair(X,null_class)) = ordered_pair(X,Y) )
| member(Y,universal_class) ),
file(unknown,unknown) ).
tff(f_727,axiom,
! [X] : subclass(null_class,X),
file(unknown,unknown) ).
tff(f_471,axiom,
! [X] :
( ( X = null_class )
| member(regular(X),X) ),
file(unknown,unknown) ).
tff(f_865,axiom,
! [X,Y] :
( ( singleton(X) != singleton(Y) )
| ~ member(Y,universal_class)
| ( X = Y ) ),
file(unknown,unknown) ).
tff(f_124,axiom,
! [X] : ( unordered_pair(X,X) = singleton(X) ),
file(unknown,unknown) ).
tff(f_971,axiom,
! [X,Y] : ( unordered_pair(X,Y) = union(singleton(X),singleton(Y)) ),
file(unknown,unknown) ).
tff(f_317,axiom,
! [X] : ( union(X,singleton(X)) = successor(X) ),
file(unknown,unknown) ).
tff(f_821,axiom,
! [Y,X] : member(singleton(Y),unordered_pair(X,singleton(Y))),
file(unknown,unknown) ).
tff(f_818,axiom,
! [X] : member(singleton(X),universal_class),
file(unknown,unknown) ).
tff(f_58,axiom,
! [X,Y,U] :
( ~ subclass(X,Y)
| ~ member(U,X)
| member(U,Y) ),
file(unknown,unknown) ).
tff(f_208,axiom,
! [Z,X] :
( ~ member(Z,complement(X))
| ~ member(Z,X) ),
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_666,axiom,
! [U,V,X,Y] :
( ~ member(ordered_pair(U,V),cross_product(X,Y))
| member(V,universal_class) ),
file(unknown,unknown) ).
tff(f_1104,axiom,
second(ordered_pair(x,y)) != ordered_pair(x,y),
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_650,axiom,
! [X,Y,U,V] :
( ~ member(ordered_pair(X,Y),cross_product(U,V))
| member(X,unordered_pair(X,Y)) ),
file(unknown,unknown) ).
tff(f_758,axiom,
! [X,Y] :
( member(X,universal_class)
| ( unordered_pair(X,Y) = singleton(Y) ) ),
file(unknown,unknown) ).
tff(f_804,axiom,
! [X,Y,U,V] :
( ~ member(ordered_pair(X,Y),cross_product(U,V))
| ( unordered_pair(X,Y) != null_class ) ),
file(unknown,unknown) ).
tff(f_186,axiom,
! [Z,X,Y] :
( ~ member(Z,intersection(X,Y))
| member(Z,X) ),
file(unknown,unknown) ).
tff(f_724,axiom,
! [Z] : ~ member(Z,null_class),
file(unknown,unknown) ).
tff(f_519,axiom,
! [Xr] : ( complement(domain_of(intersection(Xr,identity_relation))) = diagonalise(Xr) ),
file(unknown,unknown) ).
tff(f_143,axiom,
! [U,V,X,Y] :
( ~ member(ordered_pair(U,V),cross_product(X,Y))
| member(V,Y) ),
file(unknown,unknown) ).
tff(f_890,axiom,
! [Y] :
( ~ member(Y,universal_class)
| ( singleton(member_of(singleton(Y))) = singleton(Y) ) ),
file(unknown,unknown) ).
tff(f_750,axiom,
! [Y,X] : subclass(singleton(Y),unordered_pair(X,Y)),
file(unknown,unknown) ).
tff(f_103,axiom,
! [U,X,Y] :
( ~ member(U,unordered_pair(X,Y))
| ( U = X )
| ( U = Y ) ),
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(f_744,axiom,
! [X,Y] : ( unordered_pair(X,Y) = unordered_pair(Y,X) ),
file(unknown,unknown) ).
tff(f_350,axiom,
! [X] :
( ~ inductive(X)
| member(null_class,X) ),
file(unknown,unknown) ).
tff(f_748,axiom,
! [X,Y] : subclass(singleton(X),unordered_pair(X,Y)),
file(unknown,unknown) ).
tff(c_214,plain,
member(null_class,universal_class),
inference(cnfTransformation,[status(thm)],[f_740]) ).
tff(c_8,plain,
! [X_8] : subclass(X_8,universal_class),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_75285,plain,
! [X_1563] :
( inductive(X_1563)
| ~ subclass(image(successor_relation,X_1563),X_1563)
| ~ member(null_class,X_1563) ),
inference(cnfTransformation,[status(thm)],[f_363]) ).
tff(c_75308,plain,
( inductive(universal_class)
| ~ member(null_class,universal_class) ),
inference(resolution,[status(thm)],[c_8,c_75285]) ).
tff(c_75318,plain,
inductive(universal_class),
inference(demodulation,[status(thm),theory(equality)],[c_214,c_75308]) ).
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_77662,plain,
! [X_1679] :
( ( second(X_1679) = X_1679 )
| member(ordered_pair(first(X_1679),second(X_1679)),cross_product(universal_class,universal_class)) ),
inference(cnfTransformation,[status(thm)],[f_1070]) ).
tff(c_228050,plain,
! [X_98637] :
( ( second(X_98637) = X_98637 )
| member(X_98637,cross_product(universal_class,universal_class))
| ( second(X_98637) = X_98637 ) ),
inference(superposition,[status(thm),theory(equality)],[c_326,c_77662]) ).
tff(c_336,plain,
~ member(y,universal_class),
inference(cnfTransformation,[status(thm)],[f_1102]) ).
tff(c_403,plain,
! [X_331] :
( ( singleton(X_331) = null_class )
| member(X_331,universal_class) ),
inference(cnfTransformation,[status(thm)],[f_848]) ).
tff(c_407,plain,
singleton(y) = null_class,
inference(resolution,[status(thm)],[c_403,c_336]) ).
tff(c_75792,plain,
! [X_1584,Y_1585] : ( unordered_pair(singleton(X_1584),unordered_pair(X_1584,singleton(Y_1585))) = ordered_pair(X_1584,Y_1585) ),
inference(cnfTransformation,[status(thm)],[f_129]) ).
tff(c_75921,plain,
! [X_1584] : ( unordered_pair(singleton(X_1584),unordered_pair(X_1584,null_class)) = ordered_pair(X_1584,y) ),
inference(superposition,[status(thm),theory(equality)],[c_407,c_75792]) ).
tff(c_296,plain,
! [Y_281,X_280] :
( member(Y_281,universal_class)
| ( unordered_pair(singleton(X_280),unordered_pair(X_280,null_class)) = ordered_pair(X_280,Y_281) ) ),
inference(cnfTransformation,[status(thm)],[f_985]) ).
tff(c_173793,plain,
! [Y_281,X_280] :
( member(Y_281,universal_class)
| ( ordered_pair(X_280,y) = ordered_pair(X_280,Y_281) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_75921,c_296]) ).
tff(c_208,plain,
! [X_208] : subclass(null_class,X_208),
inference(cnfTransformation,[status(thm)],[f_727]) ).
tff(c_132,plain,
! [X_131] :
( member(regular(X_131),X_131)
| ( null_class = X_131 ) ),
inference(cnfTransformation,[status(thm)],[f_471]) ).
tff(c_3260,plain,
! [Y_516,X_517] :
( ( Y_516 = X_517 )
| ~ member(Y_516,universal_class)
| ( singleton(Y_516) != singleton(X_517) ) ),
inference(cnfTransformation,[status(thm)],[f_865]) ).
tff(c_3326,plain,
! [X_517] :
( ( regular(universal_class) = X_517 )
| ( singleton(regular(universal_class)) != singleton(X_517) )
| ( universal_class = null_class ) ),
inference(resolution,[status(thm)],[c_132,c_3260]) ).
tff(c_175896,plain,
universal_class = null_class,
inference(splitLeft,[status(thm)],[c_3326]) ).
tff(c_24,plain,
! [X_24] : ( unordered_pair(X_24,X_24) = singleton(X_24) ),
inference(cnfTransformation,[status(thm)],[f_124]) ).
tff(c_173794,plain,
! [X_98136] : ( unordered_pair(singleton(X_98136),unordered_pair(X_98136,null_class)) = ordered_pair(X_98136,y) ),
inference(superposition,[status(thm),theory(equality)],[c_407,c_75792]) ).
tff(c_173969,plain,
unordered_pair(singleton(null_class),singleton(null_class)) = ordered_pair(null_class,y),
inference(superposition,[status(thm),theory(equality)],[c_24,c_173794]) ).
tff(c_174117,plain,
singleton(singleton(null_class)) = ordered_pair(null_class,y),
inference(superposition,[status(thm),theory(equality)],[c_173969,c_24]) ).
tff(c_1289,plain,
! [X_411,Y_412] : ( union(singleton(X_411),singleton(Y_412)) = unordered_pair(X_411,Y_412) ),
inference(cnfTransformation,[status(thm)],[f_971]) ).
tff(c_86,plain,
! [X_101] : ( union(X_101,singleton(X_101)) = successor(X_101) ),
inference(cnfTransformation,[status(thm)],[f_317]) ).
tff(c_1407,plain,
! [X_419] : ( unordered_pair(X_419,singleton(X_419)) = successor(singleton(X_419)) ),
inference(superposition,[status(thm),theory(equality)],[c_1289,c_86]) ).
tff(c_242,plain,
! [Y_241,X_242] : member(singleton(Y_241),unordered_pair(X_242,singleton(Y_241))),
inference(cnfTransformation,[status(thm)],[f_821]) ).
tff(c_1426,plain,
! [X_419] : member(singleton(X_419),successor(singleton(X_419))),
inference(superposition,[status(thm),theory(equality)],[c_1407,c_242]) ).
tff(c_240,plain,
! [X_240] : member(singleton(X_240),universal_class),
inference(cnfTransformation,[status(thm)],[f_818]) ).
tff(c_2969,plain,
! [U_506,Y_507,X_508] :
( member(U_506,Y_507)
| ~ member(U_506,X_508)
| ~ subclass(X_508,Y_507) ),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_3135,plain,
! [X_511,Y_512] :
( member(singleton(X_511),Y_512)
| ~ subclass(universal_class,Y_512) ),
inference(resolution,[status(thm)],[c_240,c_2969]) ).
tff(c_48,plain,
! [Z_55,X_56] :
( ~ member(Z_55,X_56)
| ~ member(Z_55,complement(X_56)) ),
inference(cnfTransformation,[status(thm)],[f_208]) ).
tff(c_76780,plain,
! [X_1643,X_1644] :
( ~ member(singleton(X_1643),X_1644)
| ~ subclass(universal_class,complement(X_1644)) ),
inference(resolution,[status(thm)],[c_3135,c_48]) ).
tff(c_76898,plain,
! [X_419] : ~ subclass(universal_class,complement(successor(singleton(X_419)))),
inference(resolution,[status(thm)],[c_1426,c_76780]) ).
tff(c_174319,plain,
~ subclass(universal_class,complement(successor(ordered_pair(null_class,y)))),
inference(superposition,[status(thm),theory(equality)],[c_174117,c_76898]) ).
tff(c_175898,plain,
~ subclass(null_class,complement(successor(ordered_pair(null_class,y)))),
inference(demodulation,[status(thm),theory(equality)],[c_175896,c_174319]) ).
tff(c_176090,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_208,c_175898]) ).
tff(c_176092,plain,
universal_class != null_class,
inference(splitRight,[status(thm)],[c_3326]) ).
tff(c_4844,plain,
! [Y_574] :
( member(apply(choice,Y_574),Y_574)
| ( null_class = Y_574 )
| ~ member(Y_574,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_4894,plain,
( ( singleton(apply(choice,universal_class)) != null_class )
| ( universal_class = null_class )
| ~ member(universal_class,universal_class) ),
inference(resolution,[status(thm)],[c_4844,c_246]) ).
tff(c_182585,plain,
( ( singleton(apply(choice,universal_class)) != null_class )
| ~ member(universal_class,universal_class) ),
inference(negUnitSimplification,[status(thm)],[c_176092,c_4894]) ).
tff(c_182586,plain,
~ member(universal_class,universal_class),
inference(splitLeft,[status(thm)],[c_182585]) ).
tff(c_184548,plain,
! [X_98211] : ( ordered_pair(X_98211,y) = ordered_pair(X_98211,universal_class) ),
inference(resolution,[status(thm)],[c_173793,c_182586]) ).
tff(c_190,plain,
! [V_190,U_189,X_191,Y_192] :
( member(V_190,universal_class)
| ~ member(ordered_pair(U_189,V_190),cross_product(X_191,Y_192)) ),
inference(cnfTransformation,[status(thm)],[f_666]) ).
tff(c_184765,plain,
! [X_98211,X_191,Y_192] :
( member(y,universal_class)
| ~ member(ordered_pair(X_98211,universal_class),cross_product(X_191,Y_192)) ),
inference(superposition,[status(thm),theory(equality)],[c_184548,c_190]) ).
tff(c_184845,plain,
! [X_98211,X_191,Y_192] : ~ member(ordered_pair(X_98211,universal_class),cross_product(X_191,Y_192)),
inference(negUnitSimplification,[status(thm)],[c_336,c_184765]) ).
tff(c_228197,plain,
! [X_98211] : ( second(ordered_pair(X_98211,universal_class)) = ordered_pair(X_98211,universal_class) ),
inference(resolution,[status(thm)],[c_228050,c_184845]) ).
tff(c_182637,plain,
! [X_280] : ( ordered_pair(X_280,y) = ordered_pair(X_280,universal_class) ),
inference(resolution,[status(thm)],[c_173793,c_182586]) ).
tff(c_338,plain,
second(ordered_pair(x,y)) != ordered_pair(x,y),
inference(cnfTransformation,[status(thm)],[f_1104]) ).
tff(c_184547,plain,
second(ordered_pair(x,universal_class)) != ordered_pair(x,universal_class),
inference(demodulation,[status(thm),theory(equality)],[c_182637,c_182637,c_338]) ).
tff(c_233383,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_228197,c_184547]) ).
tff(c_233385,plain,
member(universal_class,universal_class),
inference(splitRight,[status(thm)],[c_182585]) ).
tff(c_79614,plain,
! [U_1738,V_1739,X_1740,Y_1741] :
( member(ordered_pair(U_1738,V_1739),cross_product(X_1740,Y_1741))
| ~ member(V_1739,Y_1741)
| ~ member(U_1738,X_1740) ),
inference(cnfTransformation,[status(thm)],[f_151]) ).
tff(c_184,plain,
! [X_177,Y_178,U_179,V_180] :
( member(X_177,unordered_pair(X_177,Y_178))
| ~ member(ordered_pair(X_177,Y_178),cross_product(U_179,V_180)) ),
inference(cnfTransformation,[status(thm)],[f_650]) ).
tff(c_267819,plain,
! [U_144200,V_144201,Y_144202,X_144203] :
( member(U_144200,unordered_pair(U_144200,V_144201))
| ~ member(V_144201,Y_144202)
| ~ member(U_144200,X_144203) ),
inference(resolution,[status(thm)],[c_79614,c_184]) ).
tff(c_270524,plain,
! [U_144214,X_144215] :
( member(U_144214,unordered_pair(U_144214,universal_class))
| ~ member(U_144214,X_144215) ),
inference(resolution,[status(thm)],[c_233385,c_267819]) ).
tff(c_270628,plain,
member(universal_class,unordered_pair(universal_class,universal_class)),
inference(resolution,[status(thm)],[c_233385,c_270524]) ).
tff(c_270982,plain,
member(universal_class,singleton(universal_class)),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_270628]) ).
tff(c_129885,plain,
! [X_2430] :
( ( second(X_2430) = X_2430 )
| member(X_2430,cross_product(universal_class,universal_class))
| ( second(X_2430) = X_2430 ) ),
inference(superposition,[status(thm),theory(equality)],[c_326,c_77662]) ).
tff(c_1071,plain,
! [X_404,Y_405] :
( ( unordered_pair(X_404,Y_405) = singleton(Y_405) )
| member(X_404,universal_class) ),
inference(cnfTransformation,[status(thm)],[f_758]) ).
tff(c_1134,plain,
! [Y_405] : ( unordered_pair(y,Y_405) = singleton(Y_405) ),
inference(resolution,[status(thm)],[c_1071,c_336]) ).
tff(c_236,plain,
! [X_233,Y_234,U_235,V_236] :
( ( unordered_pair(X_233,Y_234) != null_class )
| ~ member(ordered_pair(X_233,Y_234),cross_product(U_235,V_236)) ),
inference(cnfTransformation,[status(thm)],[f_804]) ).
tff(c_93211,plain,
! [U_2045,V_2046,Y_2047,X_2048] :
( ( unordered_pair(U_2045,V_2046) != null_class )
| ~ member(V_2046,Y_2047)
| ~ member(U_2045,X_2048) ),
inference(resolution,[status(thm)],[c_79614,c_236]) ).
tff(c_93233,plain,
! [Y_405,Y_2047,X_2048] :
( ( singleton(Y_405) != null_class )
| ~ member(Y_405,Y_2047)
| ~ member(y,X_2048) ),
inference(superposition,[status(thm),theory(equality)],[c_1134,c_93211]) ).
tff(c_93683,plain,
! [X_2048] : ~ member(y,X_2048),
inference(splitLeft,[status(thm)],[c_93233]) ).
tff(c_95791,plain,
! [Y_281,X_280] :
( member(Y_281,universal_class)
| ( ordered_pair(X_280,y) = ordered_pair(X_280,Y_281) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_75921,c_296]) ).
tff(c_99836,plain,
universal_class = null_class,
inference(splitLeft,[status(thm)],[c_3326]) ).
tff(c_2134,plain,
! [Z_463,X_464,Y_465] :
( member(Z_463,X_464)
| ~ member(Z_463,intersection(X_464,Y_465)) ),
inference(cnfTransformation,[status(thm)],[f_186]) ).
tff(c_98036,plain,
! [X_2128,Y_2129] :
( member(regular(intersection(X_2128,Y_2129)),X_2128)
| ( intersection(X_2128,Y_2129) = null_class ) ),
inference(resolution,[status(thm)],[c_132,c_2134]) ).
tff(c_206,plain,
! [Z_207] : ~ member(Z_207,null_class),
inference(cnfTransformation,[status(thm)],[f_724]) ).
tff(c_98238,plain,
! [Y_2130] : ( intersection(null_class,Y_2130) = null_class ),
inference(resolution,[status(thm)],[c_98036,c_206]) ).
tff(c_152,plain,
! [Xr_139] : ( complement(domain_of(intersection(Xr_139,identity_relation))) = diagonalise(Xr_139) ),
inference(cnfTransformation,[status(thm)],[f_519]) ).
tff(c_98303,plain,
complement(domain_of(null_class)) = diagonalise(null_class),
inference(superposition,[status(thm),theory(equality)],[c_98238,c_152]) ).
tff(c_76857,plain,
! [X_1644] :
( ~ member(null_class,X_1644)
| ~ subclass(universal_class,complement(X_1644)) ),
inference(superposition,[status(thm),theory(equality)],[c_407,c_76780]) ).
tff(c_98441,plain,
( ~ member(null_class,domain_of(null_class))
| ~ subclass(universal_class,diagonalise(null_class)) ),
inference(superposition,[status(thm),theory(equality)],[c_98303,c_76857]) ).
tff(c_99398,plain,
~ subclass(universal_class,diagonalise(null_class)),
inference(splitLeft,[status(thm)],[c_98441]) ).
tff(c_99838,plain,
~ subclass(null_class,diagonalise(null_class)),
inference(demodulation,[status(thm),theory(equality)],[c_99836,c_99398]) ).
tff(c_100049,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_208,c_99838]) ).
tff(c_100051,plain,
universal_class != null_class,
inference(splitRight,[status(thm)],[c_3326]) ).
tff(c_107578,plain,
( ( singleton(apply(choice,universal_class)) != null_class )
| ~ member(universal_class,universal_class) ),
inference(negUnitSimplification,[status(thm)],[c_100051,c_4894]) ).
tff(c_107579,plain,
~ member(universal_class,universal_class),
inference(splitLeft,[status(thm)],[c_107578]) ).
tff(c_109872,plain,
! [X_2222] : ( ordered_pair(X_2222,y) = ordered_pair(X_2222,universal_class) ),
inference(resolution,[status(thm)],[c_95791,c_107579]) ).
tff(c_30,plain,
! [V_32,Y_34,U_31,X_33] :
( member(V_32,Y_34)
| ~ member(ordered_pair(U_31,V_32),cross_product(X_33,Y_34)) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_110090,plain,
! [Y_34,X_2222,X_33] :
( member(y,Y_34)
| ~ member(ordered_pair(X_2222,universal_class),cross_product(X_33,Y_34)) ),
inference(superposition,[status(thm),theory(equality)],[c_109872,c_30]) ).
tff(c_110192,plain,
! [X_2222,X_33,Y_34] : ~ member(ordered_pair(X_2222,universal_class),cross_product(X_33,Y_34)),
inference(negUnitSimplification,[status(thm)],[c_93683,c_110090]) ).
tff(c_130014,plain,
! [X_2222] : ( second(ordered_pair(X_2222,universal_class)) = ordered_pair(X_2222,universal_class) ),
inference(resolution,[status(thm)],[c_129885,c_110192]) ).
tff(c_107635,plain,
! [X_280] : ( ordered_pair(X_280,y) = ordered_pair(X_280,universal_class) ),
inference(resolution,[status(thm)],[c_95791,c_107579]) ).
tff(c_109870,plain,
second(ordered_pair(x,universal_class)) != ordered_pair(x,universal_class),
inference(demodulation,[status(thm),theory(equality)],[c_107635,c_107635,c_338]) ).
tff(c_130053,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_130014,c_109870]) ).
tff(c_130055,plain,
member(universal_class,universal_class),
inference(splitRight,[status(thm)],[c_107578]) ).
tff(c_142175,plain,
! [U_2560,V_2561,Y_2562,X_2563] :
( member(U_2560,unordered_pair(U_2560,V_2561))
| ~ member(V_2561,Y_2562)
| ~ member(U_2560,X_2563) ),
inference(resolution,[status(thm)],[c_79614,c_184]) ).
tff(c_146967,plain,
! [U_2581,X_2582] :
( member(U_2581,unordered_pair(U_2581,universal_class))
| ~ member(U_2581,X_2582) ),
inference(resolution,[status(thm)],[c_130055,c_142175]) ).
tff(c_147053,plain,
member(universal_class,unordered_pair(universal_class,universal_class)),
inference(resolution,[status(thm)],[c_130055,c_146967]) ).
tff(c_147409,plain,
member(universal_class,singleton(universal_class)),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_147053]) ).
tff(c_130102,plain,
singleton(universal_class) != null_class,
inference(resolution,[status(thm)],[c_130055,c_246]) ).
tff(c_3743,plain,
! [Y_539] :
( ( singleton(member_of(singleton(Y_539))) = singleton(Y_539) )
| ~ member(Y_539,universal_class) ),
inference(cnfTransformation,[status(thm)],[f_890]) ).
tff(c_220,plain,
! [Y_215,X_216] : subclass(singleton(Y_215),unordered_pair(X_216,Y_215)),
inference(cnfTransformation,[status(thm)],[f_750]) ).
tff(c_154328,plain,
! [Y_2645,X_2646] :
( subclass(singleton(Y_2645),unordered_pair(X_2646,member_of(singleton(Y_2645))))
| ~ member(Y_2645,universal_class) ),
inference(superposition,[status(thm),theory(equality)],[c_3743,c_220]) ).
tff(c_2,plain,
! [U_3,Y_2,X_1] :
( member(U_3,Y_2)
| ~ member(U_3,X_1)
| ~ subclass(X_1,Y_2) ),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_147835,plain,
! [Y_2] :
( member(universal_class,Y_2)
| ~ subclass(singleton(universal_class),Y_2) ),
inference(resolution,[status(thm)],[c_147409,c_2]) ).
tff(c_154332,plain,
! [X_2646] :
( member(universal_class,unordered_pair(X_2646,member_of(singleton(universal_class))))
| ~ member(universal_class,universal_class) ),
inference(resolution,[status(thm)],[c_154328,c_147835]) ).
tff(c_164113,plain,
! [X_50217] : member(universal_class,unordered_pair(X_50217,member_of(singleton(universal_class)))),
inference(demodulation,[status(thm),theory(equality)],[c_130055,c_154332]) ).
tff(c_16,plain,
! [Y_17,U_15,X_16] :
( ( Y_17 = U_15 )
| ( X_16 = U_15 )
| ~ member(U_15,unordered_pair(X_16,Y_17)) ),
inference(cnfTransformation,[status(thm)],[f_103]) ).
tff(c_164220,plain,
! [X_50217] :
( ( member_of(singleton(universal_class)) = universal_class )
| ( universal_class = X_50217 ) ),
inference(resolution,[status(thm)],[c_164113,c_16]) ).
tff(c_164659,plain,
member_of(singleton(universal_class)) = universal_class,
inference(splitLeft,[status(thm)],[c_164220]) ).
tff(c_4169,plain,
! [X_549,Y_550] :
( ( member_of(X_549) = Y_550 )
| ~ member(Y_550,X_549)
| ( singleton(member_of(X_549)) != X_549 ) ),
inference(cnfTransformation,[status(thm)],[f_931]) ).
tff(c_4302,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_4169]) ).
tff(c_164707,plain,
( ( regular(singleton(universal_class)) = member_of(singleton(universal_class)) )
| ( singleton(universal_class) = null_class ) ),
inference(superposition,[status(thm),theory(equality)],[c_164659,c_4302]) ).
tff(c_164798,plain,
( ( regular(singleton(universal_class)) = universal_class )
| ( singleton(universal_class) = null_class ) ),
inference(demodulation,[status(thm),theory(equality)],[c_164659,c_164707]) ).
tff(c_164799,plain,
regular(singleton(universal_class)) = universal_class,
inference(negUnitSimplification,[status(thm)],[c_130102,c_164798]) ).
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_76452,plain,
! [Z_1609,X_1610,Y_1611] :
( member(Z_1609,intersection(X_1610,Y_1611))
| ~ member(Z_1609,Y_1611)
| ~ member(Z_1609,X_1610) ),
inference(cnfTransformation,[status(thm)],[f_200]) ).
tff(c_76491,plain,
! [Z_1609,X_132] :
( member(Z_1609,null_class)
| ~ member(Z_1609,regular(X_132))
| ~ member(Z_1609,X_132)
| ( null_class = X_132 ) ),
inference(superposition,[status(thm),theory(equality)],[c_134,c_76452]) ).
tff(c_76507,plain,
! [Z_1609,X_132] :
( ~ member(Z_1609,regular(X_132))
| ~ member(Z_1609,X_132)
| ( null_class = X_132 ) ),
inference(negUnitSimplification,[status(thm)],[c_206,c_76491]) ).
tff(c_164862,plain,
! [Z_1609] :
( ~ member(Z_1609,universal_class)
| ~ member(Z_1609,singleton(universal_class))
| ( singleton(universal_class) = null_class ) ),
inference(superposition,[status(thm),theory(equality)],[c_164799,c_76507]) ).
tff(c_166262,plain,
! [Z_50228] :
( ~ member(Z_50228,universal_class)
| ~ member(Z_50228,singleton(universal_class)) ),
inference(negUnitSimplification,[status(thm)],[c_130102,c_164862]) ).
tff(c_166273,plain,
~ member(universal_class,universal_class),
inference(resolution,[status(thm)],[c_147409,c_166262]) ).
tff(c_166413,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_130055,c_166273]) ).
tff(c_166416,plain,
! [X_50229] : ( universal_class = X_50229 ),
inference(splitRight,[status(thm)],[c_164220]) ).
tff(c_95792,plain,
! [X_2114] : ( unordered_pair(singleton(X_2114),unordered_pair(X_2114,null_class)) = ordered_pair(X_2114,y) ),
inference(superposition,[status(thm),theory(equality)],[c_407,c_75792]) ).
tff(c_95976,plain,
unordered_pair(singleton(null_class),singleton(null_class)) = ordered_pair(null_class,y),
inference(superposition,[status(thm),theory(equality)],[c_24,c_95792]) ).
tff(c_96152,plain,
singleton(singleton(null_class)) = ordered_pair(null_class,y),
inference(superposition,[status(thm),theory(equality)],[c_24,c_95976]) ).
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_130303,plain,
! [Y_2439,Y_2440] : ( unordered_pair(singleton(Y_2439),unordered_pair(singleton(Y_2440),Y_2439)) = ordered_pair(Y_2439,Y_2440) ),
inference(superposition,[status(thm),theory(equality)],[c_216,c_75792]) ).
tff(c_130480,plain,
unordered_pair(singleton(singleton(null_class)),ordered_pair(null_class,y)) = ordered_pair(singleton(null_class),null_class),
inference(superposition,[status(thm),theory(equality)],[c_95976,c_130303]) ).
tff(c_130609,plain,
ordered_pair(singleton(null_class),null_class) = singleton(ordered_pair(null_class,y)),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_96152,c_130480]) ).
tff(c_560,plain,
! [X_358] :
( ( singleton(X_358) != null_class )
| ~ member(X_358,universal_class) ),
inference(cnfTransformation,[status(thm)],[f_835]) ).
tff(c_592,plain,
! [X_240] : ( singleton(singleton(X_240)) != null_class ),
inference(resolution,[status(thm)],[c_240,c_560]) ).
tff(c_164226,plain,
! [Y_50218] : ( unordered_pair(singleton(singleton(Y_50218)),singleton(singleton(Y_50218))) = ordered_pair(singleton(Y_50218),Y_50218) ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_75792]) ).
tff(c_94,plain,
! [X_106] :
( member(null_class,X_106)
| ~ inductive(X_106) ),
inference(cnfTransformation,[status(thm)],[f_350]) ).
tff(c_2812,plain,
! [Y_500,U_501,X_502] :
( ( Y_500 = U_501 )
| ( X_502 = U_501 )
| ~ member(U_501,unordered_pair(X_502,Y_500)) ),
inference(cnfTransformation,[status(thm)],[f_103]) ).
tff(c_2892,plain,
! [Y_500,X_502] :
( ( null_class = Y_500 )
| ( null_class = X_502 )
| ~ inductive(unordered_pair(X_502,Y_500)) ),
inference(resolution,[status(thm)],[c_94,c_2812]) ).
tff(c_164334,plain,
! [Y_50218] :
( ( singleton(singleton(Y_50218)) = null_class )
| ( singleton(singleton(Y_50218)) = null_class )
| ~ inductive(ordered_pair(singleton(Y_50218),Y_50218)) ),
inference(superposition,[status(thm),theory(equality)],[c_164226,c_2892]) ).
tff(c_164579,plain,
! [Y_50219] : ~ inductive(ordered_pair(singleton(Y_50219),Y_50219)),
inference(negUnitSimplification,[status(thm)],[c_592,c_592,c_164334]) ).
tff(c_164601,plain,
~ inductive(singleton(ordered_pair(null_class,y))),
inference(superposition,[status(thm),theory(equality)],[c_130609,c_164579]) ).
tff(c_166439,plain,
~ inductive(universal_class),
inference(superposition,[status(thm),theory(equality)],[c_166416,c_164601]) ).
tff(c_172814,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_75318,c_166439]) ).
tff(c_172815,plain,
! [Y_405,Y_2047] :
( ( singleton(Y_405) != null_class )
| ~ member(Y_405,Y_2047) ),
inference(splitRight,[status(thm)],[c_93233]) ).
tff(c_233415,plain,
singleton(universal_class) != null_class,
inference(resolution,[status(thm)],[c_233385,c_172815]) ).
tff(c_218,plain,
! [X_213,Y_214] : subclass(singleton(X_213),unordered_pair(X_213,Y_214)),
inference(cnfTransformation,[status(thm)],[f_748]) ).
tff(c_3911,plain,
! [Y_539,Y_214] :
( subclass(singleton(Y_539),unordered_pair(member_of(singleton(Y_539)),Y_214))
| ~ member(Y_539,universal_class) ),
inference(superposition,[status(thm),theory(equality)],[c_3743,c_218]) ).
tff(c_271327,plain,
! [Y_144218] :
( member(universal_class,Y_144218)
| ~ subclass(singleton(universal_class),Y_144218) ),
inference(resolution,[status(thm)],[c_270982,c_2]) ).
tff(c_271331,plain,
! [Y_214] :
( member(universal_class,unordered_pair(member_of(singleton(universal_class)),Y_214))
| ~ member(universal_class,universal_class) ),
inference(resolution,[status(thm)],[c_3911,c_271327]) ).
tff(c_276090,plain,
! [Y_144257] : member(universal_class,unordered_pair(member_of(singleton(universal_class)),Y_144257)),
inference(demodulation,[status(thm),theory(equality)],[c_233385,c_271331]) ).
tff(c_2869,plain,
! [X_211,U_501,Y_212] :
( ( X_211 = U_501 )
| ( Y_212 = U_501 )
| ~ member(U_501,unordered_pair(X_211,Y_212)) ),
inference(superposition,[status(thm),theory(equality)],[c_216,c_2812]) ).
tff(c_276193,plain,
! [Y_144257] :
( ( member_of(singleton(universal_class)) = universal_class )
| ( universal_class = Y_144257 ) ),
inference(resolution,[status(thm)],[c_276090,c_2869]) ).
tff(c_276205,plain,
member_of(singleton(universal_class)) = universal_class,
inference(splitLeft,[status(thm)],[c_276193]) ).
tff(c_276250,plain,
( ( regular(singleton(universal_class)) = member_of(singleton(universal_class)) )
| ( singleton(universal_class) = null_class ) ),
inference(superposition,[status(thm),theory(equality)],[c_276205,c_4302]) ).
tff(c_276339,plain,
( ( regular(singleton(universal_class)) = universal_class )
| ( singleton(universal_class) = null_class ) ),
inference(demodulation,[status(thm),theory(equality)],[c_276205,c_276250]) ).
tff(c_276340,plain,
regular(singleton(universal_class)) = universal_class,
inference(negUnitSimplification,[status(thm)],[c_233415,c_276339]) ).
tff(c_276404,plain,
! [Z_1609] :
( ~ member(Z_1609,universal_class)
| ~ member(Z_1609,singleton(universal_class))
| ( singleton(universal_class) = null_class ) ),
inference(superposition,[status(thm),theory(equality)],[c_276340,c_76507]) ).
tff(c_277327,plain,
! [Z_144263] :
( ~ member(Z_144263,universal_class)
| ~ member(Z_144263,singleton(universal_class)) ),
inference(negUnitSimplification,[status(thm)],[c_233415,c_276404]) ).
tff(c_277330,plain,
~ member(universal_class,universal_class),
inference(resolution,[status(thm)],[c_270982,c_277327]) ).
tff(c_277464,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_233385,c_277330]) ).
tff(c_277467,plain,
! [Y_144264] : ( universal_class = Y_144264 ),
inference(splitRight,[status(thm)],[c_276193]) ).
tff(c_271687,plain,
! [Y_144220] : ( unordered_pair(singleton(singleton(Y_144220)),singleton(singleton(Y_144220))) = ordered_pair(singleton(Y_144220),Y_144220) ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_75792]) ).
tff(c_271801,plain,
! [Y_144220] :
( ( singleton(singleton(Y_144220)) = null_class )
| ( singleton(singleton(Y_144220)) = null_class )
| ~ inductive(ordered_pair(singleton(Y_144220),Y_144220)) ),
inference(superposition,[status(thm),theory(equality)],[c_271687,c_2892]) ).
tff(c_272072,plain,
! [Y_144221] : ~ inductive(ordered_pair(singleton(Y_144221),Y_144221)),
inference(negUnitSimplification,[status(thm)],[c_592,c_592,c_271801]) ).
tff(c_272117,plain,
~ inductive(ordered_pair(ordered_pair(null_class,y),singleton(null_class))),
inference(superposition,[status(thm),theory(equality)],[c_174117,c_272072]) ).
tff(c_277544,plain,
~ inductive(universal_class),
inference(superposition,[status(thm),theory(equality)],[c_277467,c_272117]) ).
tff(c_283970,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_75318,c_277544]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET122-7 : 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 : n025.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 16:22:34 EDT 2023
% 0.16/0.36 % CPUTime :
% 71.99/54.28 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 71.99/54.31
% 71.99/54.31 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 72.20/54.37
% 72.20/54.37 Inference rules
% 72.20/54.37 ----------------------
% 72.20/54.37 #Ref : 96
% 72.20/54.37 #Sup : 76986
% 72.20/54.37 #Fact : 28
% 72.20/54.37 #Define : 0
% 72.20/54.37 #Split : 247
% 72.20/54.37 #Chain : 0
% 72.20/54.37 #Close : 0
% 72.20/54.37
% 72.20/54.37 Ordering : KBO
% 72.20/54.37
% 72.20/54.37 Simplification rules
% 72.20/54.37 ----------------------
% 72.20/54.37 #Subsume : 18651
% 72.20/54.37 #Demod : 31807
% 72.20/54.37 #Tautology : 15500
% 72.20/54.37 #SimpNegUnit : 5569
% 72.20/54.37 #BackRed : 1230
% 72.20/54.37
% 72.20/54.37 #Partial instantiations: 25375
% 72.20/54.37 #Strategies tried : 1
% 72.20/54.37
% 72.20/54.37 Timing (in seconds)
% 72.20/54.37 ----------------------
% 72.20/54.37 Preprocessing : 0.84
% 72.20/54.37 Parsing : 0.38
% 72.20/54.37 CNF conversion : 0.06
% 72.20/54.37 Main loop : 52.32
% 72.20/54.37 Inferencing : 6.76
% 72.20/54.37 Reduction : 24.28
% 72.20/54.37 Demodulation : 17.92
% 72.20/54.37 BG Simplification : 0.32
% 72.20/54.37 Subsumption : 16.17
% 72.20/54.37 Abstraction : 0.55
% 72.20/54.37 MUC search : 0.00
% 72.20/54.37 Cooper : 0.00
% 72.20/54.37 Total : 53.26
% 72.20/54.37 Index Insertion : 0.00
% 72.20/54.37 Index Deletion : 0.00
% 72.20/54.37 Index Matching : 0.00
% 72.20/54.37 BG Taut test : 0.00
%------------------------------------------------------------------------------