TSTP Solution File: SET154-6 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SET154-6 : 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 : n010.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 10:56:06 EDT 2023
% Result : Unsatisfiable 110.86s 91.01s
% Output : CNFRefutation 110.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 72
% Syntax : Number of formulae : 155 ( 39 unt; 57 typ; 0 def)
% Number of atoms : 172 ( 51 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 146 ( 72 ~; 74 |; 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 : 133 (; 133 !; 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_81,axiom,
! [X] : subclass(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_67,axiom,
! [X,Y,U] :
( ~ subclass(X,Y)
| ~ member(U,X)
| member(U,Y) ),
file(unknown,unknown) ).
tff(f_240,axiom,
! [X,Y,Xr] : ( intersection(cross_product(X,Y),Xr) = restrict(Xr,X,Y) ),
file(unknown,unknown) ).
tff(f_480,axiom,
! [X] :
( ( X = null_class )
| member(regular(X),X) ),
file(unknown,unknown) ).
tff(f_201,axiom,
! [Z,X,Y] :
( ~ member(Z,intersection(X,Y))
| member(Z,Y) ),
file(unknown,unknown) ).
tff(f_217,axiom,
! [Z,X] :
( ~ member(Z,complement(X))
| ~ member(Z,X) ),
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_195,axiom,
! [Z,X,Y] :
( ~ member(Z,intersection(X,Y))
| member(Z,X) ),
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(f_229,axiom,
! [X,Y] : ( complement(intersection(complement(X),complement(Y))) = union(X,Y) ),
file(unknown,unknown) ).
tff(f_780,axiom,
union(complement(x),x) != universal_class,
file(unknown,unknown) ).
tff(c_8,plain,
! [X_8] : subclass(X_8,universal_class),
inference(cnfTransformation,[status(thm)],[f_81]) ).
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_787,plain,
! [U_321,Y_322,X_323] :
( member(U_321,Y_322)
| ~ member(U_321,X_323)
| ~ subclass(X_323,Y_322) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_824,plain,
! [X_4,Y_5,Y_322] :
( member(not_subclass_element(X_4,Y_5),Y_322)
| ~ subclass(X_4,Y_322)
| subclass(X_4,Y_5) ),
inference(resolution,[status(thm)],[c_4,c_787]) ).
tff(c_58,plain,
! [X_66,Y_67,Xr_68] : ( intersection(cross_product(X_66,Y_67),Xr_68) = restrict(Xr_68,X_66,Y_67) ),
inference(cnfTransformation,[status(thm)],[f_240]) ).
tff(c_132,plain,
! [X_131] :
( member(regular(X_131),X_131)
| ( null_class = X_131 ) ),
inference(cnfTransformation,[status(thm)],[f_480]) ).
tff(c_566,plain,
! [Z_292,Y_293,X_294] :
( member(Z_292,Y_293)
| ~ member(Z_292,intersection(X_294,Y_293)) ),
inference(cnfTransformation,[status(thm)],[f_201]) ).
tff(c_67889,plain,
! [X_2517,Y_2518] :
( member(regular(intersection(X_2517,Y_2518)),Y_2518)
| ( intersection(X_2517,Y_2518) = null_class ) ),
inference(resolution,[status(thm)],[c_132,c_566]) ).
tff(c_828,plain,
! [X_131,Y_322] :
( member(regular(X_131),Y_322)
| ~ subclass(X_131,Y_322)
| ( null_class = X_131 ) ),
inference(resolution,[status(thm)],[c_132,c_787]) ).
tff(c_1378,plain,
! [X_387,Y_388] :
( member(regular(X_387),Y_388)
| ~ subclass(X_387,Y_388)
| ( null_class = X_387 ) ),
inference(resolution,[status(thm)],[c_132,c_787]) ).
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_1433,plain,
! [Y_389] :
( ~ subclass(complement(Y_389),Y_389)
| ( complement(Y_389) = null_class ) ),
inference(resolution,[status(thm)],[c_1378,c_359]) ).
tff(c_1455,plain,
complement(universal_class) = null_class,
inference(resolution,[status(thm)],[c_8,c_1433]) ).
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_1492,plain,
! [Z_390] :
( ~ member(Z_390,universal_class)
| ~ member(Z_390,null_class) ),
inference(superposition,[status(thm),theory(equality)],[c_1455,c_48]) ).
tff(c_1496,plain,
! [X_131] :
( ~ member(regular(X_131),null_class)
| ~ subclass(X_131,universal_class)
| ( null_class = X_131 ) ),
inference(resolution,[status(thm)],[c_828,c_1492]) ).
tff(c_1544,plain,
! [X_131] :
( ~ member(regular(X_131),null_class)
| ( null_class = X_131 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_1496]) ).
tff(c_68008,plain,
! [X_2519] : ( intersection(X_2519,null_class) = null_class ),
inference(resolution,[status(thm)],[c_67889,c_1544]) ).
tff(c_68045,plain,
! [X_66,Y_67] : ( restrict(null_class,X_66,Y_67) = null_class ),
inference(superposition,[status(thm),theory(equality)],[c_58,c_68008]) ).
tff(c_1566,plain,
! [Z_391,X_392] :
( member(Z_391,X_392)
| member(Z_391,complement(X_392))
| ~ member(Z_391,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_237271,plain,
! [X_6519,X_6520] :
( subclass(X_6519,complement(X_6520))
| member(not_subclass_element(X_6519,complement(X_6520)),X_6520)
| ~ member(not_subclass_element(X_6519,complement(X_6520)),universal_class) ),
inference(resolution,[status(thm)],[c_1566,c_6]) ).
tff(c_237288,plain,
! [X_4,X_6520] :
( member(not_subclass_element(X_4,complement(X_6520)),X_6520)
| ~ subclass(X_4,universal_class)
| subclass(X_4,complement(X_6520)) ),
inference(resolution,[status(thm)],[c_824,c_237271]) ).
tff(c_237338,plain,
! [X_6521,X_6522] :
( member(not_subclass_element(X_6521,complement(X_6522)),X_6522)
| subclass(X_6521,complement(X_6522)) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_237288]) ).
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_205215,plain,
! [Z_5566,X_5567] :
( member(Z_5566,X_5567)
| ~ member(Z_5566,null_class) ),
inference(superposition,[status(thm),theory(equality)],[c_68008,c_42]) ).
tff(c_210862,plain,
! [Y_5748,X_5749] :
( member(not_subclass_element(null_class,Y_5748),X_5749)
| subclass(null_class,Y_5748) ),
inference(resolution,[status(thm)],[c_4,c_205215]) ).
tff(c_543,plain,
! [X_288,Y_289] :
( subclass(X_288,Y_289)
| member(not_subclass_element(X_288,Y_289),X_288) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_210770,plain,
! [X_5743,Y_5744] :
( ~ member(not_subclass_element(complement(X_5743),Y_5744),X_5743)
| subclass(complement(X_5743),Y_5744) ),
inference(resolution,[status(thm)],[c_543,c_48]) ).
tff(c_210812,plain,
! [Y_5744] :
( ~ member(not_subclass_element(null_class,Y_5744),universal_class)
| subclass(complement(universal_class),Y_5744) ),
inference(superposition,[status(thm),theory(equality)],[c_1455,c_210770]) ).
tff(c_210842,plain,
! [Y_5744] :
( ~ member(not_subclass_element(null_class,Y_5744),universal_class)
| subclass(null_class,Y_5744) ),
inference(demodulation,[status(thm),theory(equality)],[c_1455,c_210812]) ).
tff(c_210955,plain,
! [Y_5748] : subclass(null_class,Y_5748),
inference(resolution,[status(thm)],[c_210862,c_210842]) ).
tff(c_1665,plain,
! [Z_400,X_401] :
( ~ member(Z_400,domain_of(X_401))
| ( restrict(X_401,singleton(Z_400),universal_class) != null_class ) ),
inference(cnfTransformation,[status(thm)],[f_251]) ).
tff(c_215217,plain,
! [X_5889] :
( ( restrict(X_5889,singleton(regular(domain_of(X_5889))),universal_class) != null_class )
| ( domain_of(X_5889) = null_class ) ),
inference(resolution,[status(thm)],[c_132,c_1665]) ).
tff(c_215231,plain,
domain_of(null_class) = null_class,
inference(superposition,[status(thm),theory(equality)],[c_68045,c_215217]) ).
tff(c_500,plain,
! [Z_278,X_279,Y_280] :
( member(Z_278,X_279)
| ~ member(Z_278,intersection(X_279,Y_280)) ),
inference(cnfTransformation,[status(thm)],[f_195]) ).
tff(c_205492,plain,
! [X_5575,Y_5576] :
( member(regular(intersection(X_5575,Y_5576)),X_5575)
| ( intersection(X_5575,Y_5576) = null_class ) ),
inference(resolution,[status(thm)],[c_132,c_500]) ).
tff(c_205595,plain,
! [Y_5576] : ( intersection(null_class,Y_5576) = null_class ),
inference(resolution,[status(thm)],[c_205492,c_1544]) ).
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_210337,plain,
! [Z_5725,Xr_5726] :
( ~ member(Z_5725,domain_of(intersection(Xr_5726,identity_relation)))
| ~ member(Z_5725,diagonalise(Xr_5726)) ),
inference(superposition,[status(thm),theory(equality)],[c_152,c_344]) ).
tff(c_210462,plain,
! [Z_5728] :
( ~ member(Z_5728,domain_of(null_class))
| ~ member(Z_5728,diagonalise(null_class)) ),
inference(superposition,[status(thm),theory(equality)],[c_205595,c_210337]) ).
tff(c_210547,plain,
( ~ member(regular(domain_of(null_class)),diagonalise(null_class))
| ( domain_of(null_class) = null_class ) ),
inference(resolution,[status(thm)],[c_132,c_210462]) ).
tff(c_212612,plain,
~ member(regular(domain_of(null_class)),diagonalise(null_class)),
inference(splitLeft,[status(thm)],[c_210547]) ).
tff(c_212616,plain,
( ~ subclass(domain_of(null_class),diagonalise(null_class))
| ( domain_of(null_class) = null_class ) ),
inference(resolution,[status(thm)],[c_828,c_212612]) ).
tff(c_212617,plain,
~ subclass(domain_of(null_class),diagonalise(null_class)),
inference(splitLeft,[status(thm)],[c_212616]) ).
tff(c_215236,plain,
~ subclass(null_class,diagonalise(null_class)),
inference(demodulation,[status(thm),theory(equality)],[c_215231,c_212617]) ).
tff(c_215249,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_210955,c_215236]) ).
tff(c_215250,plain,
domain_of(null_class) = null_class,
inference(splitRight,[status(thm)],[c_212616]) ).
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_215323,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_215250,c_60]) ).
tff(c_215349,plain,
! [Z_70] : ~ member(Z_70,null_class),
inference(demodulation,[status(thm),theory(equality)],[c_68045,c_215323]) ).
tff(c_237573,plain,
! [X_6523] : subclass(X_6523,complement(null_class)),
inference(resolution,[status(thm)],[c_237338,c_215349]) ).
tff(c_368,plain,
! [Y_260,X_261] :
( ( Y_260 = X_261 )
| ~ subclass(Y_260,X_261)
| ~ subclass(X_261,Y_260) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_403,plain,
! [X_8] :
( ( universal_class = X_8 )
| ~ subclass(universal_class,X_8) ),
inference(resolution,[status(thm)],[c_8,c_368]) ).
tff(c_237845,plain,
complement(null_class) = universal_class,
inference(resolution,[status(thm)],[c_237573,c_403]) ).
tff(c_589,plain,
! [X_294,Y_293] :
( member(regular(intersection(X_294,Y_293)),Y_293)
| ( intersection(X_294,Y_293) = null_class ) ),
inference(resolution,[status(thm)],[c_132,c_566]) ).
tff(c_290422,plain,
! [X_7331,Y_7332] :
( ~ member(regular(intersection(complement(X_7331),Y_7332)),X_7331)
| ( intersection(complement(X_7331),Y_7332) = null_class ) ),
inference(resolution,[status(thm)],[c_205492,c_48]) ).
tff(c_290763,plain,
! [Y_7333] : ( intersection(complement(Y_7333),Y_7333) = null_class ),
inference(resolution,[status(thm)],[c_589,c_290422]) ).
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_291276,plain,
! [Y_60] : ( union(complement(Y_60),Y_60) = complement(null_class) ),
inference(superposition,[status(thm),theory(equality)],[c_290763,c_52]) ).
tff(c_291501,plain,
! [Y_60] : ( union(complement(Y_60),Y_60) = universal_class ),
inference(demodulation,[status(thm),theory(equality)],[c_237845,c_291276]) ).
tff(c_226,plain,
union(complement(x),x) != universal_class,
inference(cnfTransformation,[status(thm)],[f_780]) ).
tff(c_291580,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_291501,c_226]) ).
tff(c_291581,plain,
domain_of(null_class) = null_class,
inference(splitRight,[status(thm)],[c_210547]) ).
tff(c_291729,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_291581,c_60]) ).
tff(c_291755,plain,
! [Z_70] : ~ member(Z_70,null_class),
inference(demodulation,[status(thm),theory(equality)],[c_68045,c_291729]) ).
tff(c_205613,plain,
! [Y_5577] : ( intersection(null_class,Y_5577) = null_class ),
inference(resolution,[status(thm)],[c_205492,c_1544]) ).
tff(c_205674,plain,
complement(domain_of(null_class)) = diagonalise(null_class),
inference(superposition,[status(thm),theory(equality)],[c_205613,c_152]) ).
tff(c_291667,plain,
diagonalise(null_class) = complement(null_class),
inference(demodulation,[status(thm),theory(equality)],[c_291581,c_205674]) ).
tff(c_306390,plain,
! [Z_7772,Xr_7773] :
( member(Z_7772,domain_of(intersection(Xr_7773,identity_relation)))
| member(Z_7772,diagonalise(Xr_7773))
| ~ member(Z_7772,universal_class) ),
inference(superposition,[status(thm),theory(equality)],[c_152,c_1566]) ).
tff(c_306465,plain,
! [Z_7772] :
( member(Z_7772,domain_of(null_class))
| member(Z_7772,diagonalise(null_class))
| ~ member(Z_7772,universal_class) ),
inference(superposition,[status(thm),theory(equality)],[c_205595,c_306390]) ).
tff(c_306517,plain,
! [Z_7772] :
( member(Z_7772,null_class)
| member(Z_7772,complement(null_class))
| ~ member(Z_7772,universal_class) ),
inference(demodulation,[status(thm),theory(equality)],[c_291667,c_291581,c_306465]) ).
tff(c_306519,plain,
! [Z_7774] :
( member(Z_7774,complement(null_class))
| ~ member(Z_7774,universal_class) ),
inference(negUnitSimplification,[status(thm)],[c_291755,c_306517]) ).
tff(c_315006,plain,
! [X_7994] :
( subclass(X_7994,complement(null_class))
| ~ member(not_subclass_element(X_7994,complement(null_class)),universal_class) ),
inference(resolution,[status(thm)],[c_306519,c_6]) ).
tff(c_315018,plain,
! [X_4] :
( ~ subclass(X_4,universal_class)
| subclass(X_4,complement(null_class)) ),
inference(resolution,[status(thm)],[c_824,c_315006]) ).
tff(c_315050,plain,
! [X_7995] : subclass(X_7995,complement(null_class)),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_315018]) ).
tff(c_315345,plain,
complement(null_class) = universal_class,
inference(resolution,[status(thm)],[c_315050,c_403]) ).
tff(c_346243,plain,
! [X_8512,Y_8513] :
( ~ member(regular(intersection(complement(X_8512),Y_8513)),X_8512)
| ( intersection(complement(X_8512),Y_8513) = null_class ) ),
inference(resolution,[status(thm)],[c_205492,c_48]) ).
tff(c_346541,plain,
! [Y_8514] : ( intersection(complement(Y_8514),Y_8514) = null_class ),
inference(resolution,[status(thm)],[c_589,c_346243]) ).
tff(c_346957,plain,
! [Y_60] : ( union(complement(Y_60),Y_60) = complement(null_class) ),
inference(superposition,[status(thm),theory(equality)],[c_346541,c_52]) ).
tff(c_347143,plain,
! [Y_60] : ( union(complement(Y_60),Y_60) = universal_class ),
inference(demodulation,[status(thm),theory(equality)],[c_315345,c_346957]) ).
tff(c_347205,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_347143,c_226]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET154-6 : 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
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 16:04:13 EDT 2023
% 0.13/0.35 % CPUTime :
% 110.86/91.01 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 110.86/91.03
% 110.86/91.03 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 110.86/91.07
% 110.86/91.07 Inference rules
% 110.86/91.07 ----------------------
% 110.86/91.07 #Ref : 6
% 110.86/91.07 #Sup : 92298
% 110.86/91.07 #Fact : 22
% 110.86/91.07 #Define : 0
% 110.86/91.07 #Split : 840
% 110.86/91.07 #Chain : 0
% 110.86/91.07 #Close : 0
% 110.86/91.07
% 110.86/91.07 Ordering : KBO
% 110.86/91.07
% 110.86/91.07 Simplification rules
% 110.86/91.07 ----------------------
% 110.86/91.07 #Subsume : 29211
% 110.86/91.07 #Demod : 38998
% 110.86/91.07 #Tautology : 12197
% 110.86/91.07 #SimpNegUnit : 2570
% 110.86/91.07 #BackRed : 1241
% 110.86/91.07
% 110.86/91.07 #Partial instantiations: 0
% 110.86/91.07 #Strategies tried : 1
% 110.86/91.07
% 110.86/91.07 Timing (in seconds)
% 110.86/91.07 ----------------------
% 110.86/91.07 Preprocessing : 0.74
% 110.86/91.07 Parsing : 0.39
% 110.86/91.07 CNF conversion : 0.05
% 110.86/91.08 Main loop : 89.21
% 110.86/91.08 Inferencing : 11.69
% 110.86/91.08 Reduction : 40.78
% 110.86/91.08 Demodulation : 29.19
% 110.86/91.08 BG Simplification : 0.46
% 110.86/91.08 Subsumption : 27.82
% 110.86/91.08 Abstraction : 0.76
% 110.86/91.08 MUC search : 0.00
% 110.86/91.08 Cooper : 0.00
% 110.86/91.08 Total : 90.02
% 110.86/91.08 Index Insertion : 0.00
% 110.86/91.08 Index Deletion : 0.00
% 110.86/91.08 Index Matching : 0.00
% 110.86/91.08 BG Taut test : 0.00
%------------------------------------------------------------------------------