TSTP Solution File: SET149-6 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SET149-6 : 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 : n014.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 10:56:05 EDT 2023
% Result : Unsatisfiable 285.34s 256.55s
% Output : CNFRefutation 285.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 66
% Syntax : Number of formulae : 86 ( 6 unt; 58 typ; 0 def)
% Number of atoms : 58 ( 7 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 57 ( 27 ~; 30 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 3 ( 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 : 48 ( 48 usr; 14 con; 0-3 aty)
% Number of variables : 62 (; 62 !; 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 > y > 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(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(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_71,axiom,
! [X,Y] :
( member(not_subclass_element(X,Y),X)
| 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_76,axiom,
! [X,Y] :
( ~ member(not_subclass_element(X,Y),Y)
| 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_209,axiom,
! [Z,X,Y] :
( ~ member(Z,X)
| ~ member(Z,Y)
| member(Z,intersection(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_101,axiom,
! [X,Y] :
( ~ subclass(X,Y)
| ~ subclass(Y,X)
| ( X = Y ) ),
file(unknown,unknown) ).
tff(f_780,axiom,
intersection(x,intersection(x,y)) != intersection(x,y),
file(unknown,unknown) ).
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_413,plain,
! [Z_281,X_282,Y_283] :
( member(Z_281,X_282)
| ~ member(Z_281,intersection(X_282,Y_283)) ),
inference(cnfTransformation,[status(thm)],[f_195]) ).
tff(c_659634,plain,
! [X_14732,Y_14733,Y_14734] :
( member(not_subclass_element(intersection(X_14732,Y_14733),Y_14734),X_14732)
| subclass(intersection(X_14732,Y_14733),Y_14734) ),
inference(resolution,[status(thm)],[c_4,c_413]) ).
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_659762,plain,
! [X_14732,Y_14733] : subclass(intersection(X_14732,Y_14733),X_14732),
inference(resolution,[status(thm)],[c_659634,c_6]) ).
tff(c_926,plain,
! [U_337,Y_338,X_339] :
( member(U_337,Y_338)
| ~ member(U_337,X_339)
| ~ subclass(X_339,Y_338) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_962,plain,
! [X_4,Y_5,Y_338] :
( member(not_subclass_element(X_4,Y_5),Y_338)
| ~ subclass(X_4,Y_338)
| subclass(X_4,Y_5) ),
inference(resolution,[status(thm)],[c_4,c_926]) ).
tff(c_2048,plain,
! [Z_446,X_447,Y_448] :
( member(Z_446,intersection(X_447,Y_448))
| ~ member(Z_446,Y_448)
| ~ member(Z_446,X_447) ),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_949420,plain,
! [X_20748,X_20749,Y_20750] :
( subclass(X_20748,intersection(X_20749,Y_20750))
| ~ member(not_subclass_element(X_20748,intersection(X_20749,Y_20750)),Y_20750)
| ~ member(not_subclass_element(X_20748,intersection(X_20749,Y_20750)),X_20749) ),
inference(resolution,[status(thm)],[c_2048,c_6]) ).
tff(c_965986,plain,
! [X_21193,X_21194] :
( ~ member(not_subclass_element(X_21193,intersection(X_21194,X_21193)),X_21194)
| subclass(X_21193,intersection(X_21194,X_21193)) ),
inference(resolution,[status(thm)],[c_4,c_949420]) ).
tff(c_971143,plain,
! [X_21250,Y_21251] :
( ~ subclass(X_21250,Y_21251)
| subclass(X_21250,intersection(Y_21251,X_21250)) ),
inference(resolution,[status(thm)],[c_962,c_965986]) ).
tff(c_465,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_662152,plain,
! [X_14796,Y_14797,Y_14798] :
( member(not_subclass_element(intersection(X_14796,Y_14797),Y_14798),Y_14797)
| subclass(intersection(X_14796,Y_14797),Y_14798) ),
inference(resolution,[status(thm)],[c_4,c_465]) ).
tff(c_662330,plain,
! [X_14799,Y_14800] : subclass(intersection(X_14799,Y_14800),Y_14800),
inference(resolution,[status(thm)],[c_662152,c_6]) ).
tff(c_14,plain,
! [Y_14,X_13] :
( ( Y_14 = X_13 )
| ~ subclass(Y_14,X_13)
| ~ subclass(X_13,Y_14) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_662409,plain,
! [X_14799,Y_14800] :
( ( intersection(X_14799,Y_14800) = Y_14800 )
| ~ subclass(Y_14800,intersection(X_14799,Y_14800)) ),
inference(resolution,[status(thm)],[c_662330,c_14]) ).
tff(c_971679,plain,
! [Y_21254,X_21255] :
( ( intersection(Y_21254,X_21255) = X_21255 )
| ~ subclass(X_21255,Y_21254) ),
inference(resolution,[status(thm)],[c_971143,c_662409]) ).
tff(c_971943,plain,
! [X_14732,Y_14733] : ( intersection(X_14732,intersection(X_14732,Y_14733)) = intersection(X_14732,Y_14733) ),
inference(resolution,[status(thm)],[c_659762,c_971679]) ).
tff(c_226,plain,
intersection(x,intersection(x,y)) != intersection(x,y),
inference(cnfTransformation,[status(thm)],[f_780]) ).
tff(c_980626,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_971943,c_226]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET149-6 : 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 : n014.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 16:03:18 EDT 2023
% 0.13/0.35 % CPUTime :
% 285.34/256.55 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 285.34/256.56
% 285.34/256.56 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 285.34/256.59
% 285.34/256.59 Inference rules
% 285.34/256.59 ----------------------
% 285.34/256.59 #Ref : 6
% 285.34/256.59 #Sup : 265895
% 285.34/256.59 #Fact : 80
% 285.34/256.59 #Define : 0
% 285.34/256.59 #Split : 1601
% 285.34/256.59 #Chain : 0
% 285.34/256.59 #Close : 0
% 285.34/256.59
% 285.34/256.59 Ordering : KBO
% 285.34/256.59
% 285.34/256.59 Simplification rules
% 285.34/256.59 ----------------------
% 285.34/256.59 #Subsume : 81541
% 285.34/256.59 #Demod : 115785
% 285.34/256.59 #Tautology : 36350
% 285.34/256.59 #SimpNegUnit : 6022
% 285.34/256.59 #BackRed : 2314
% 285.34/256.59
% 285.34/256.59 #Partial instantiations: 0
% 285.34/256.59 #Strategies tried : 1
% 285.34/256.59
% 285.34/256.59 Timing (in seconds)
% 285.34/256.59 ----------------------
% 285.34/256.59 Preprocessing : 0.75
% 285.34/256.59 Parsing : 0.40
% 285.34/256.59 CNF conversion : 0.05
% 285.34/256.59 Main loop : 254.75
% 285.34/256.60 Inferencing : 31.04
% 285.34/256.60 Reduction : 117.25
% 285.34/256.60 Demodulation : 84.59
% 285.34/256.60 BG Simplification : 1.24
% 285.34/256.60 Subsumption : 80.54
% 285.34/256.60 Abstraction : 2.03
% 285.34/256.60 MUC search : 0.00
% 285.34/256.60 Cooper : 0.00
% 285.34/256.60 Total : 255.55
% 285.34/256.60 Index Insertion : 0.00
% 285.34/256.60 Index Deletion : 0.00
% 285.34/256.60 Index Matching : 0.00
% 285.34/256.60 BG Taut test : 0.00
%------------------------------------------------------------------------------