TSTP Solution File: SET027-6 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SET027-6 : 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/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n009.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 10:55:37 EDT 2023
% Result : Unsatisfiable 235.03s 206.57s
% Output : CNFRefutation 235.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 60
% Syntax : Number of formulae : 88 ( 11 unt; 50 typ; 0 def)
% Number of atoms : 73 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 64 ( 29 ~; 35 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 65 ( 39 >; 26 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 41 ( 41 usr; 11 con; 0-3 aty)
% Number of variables : 64 (; 64 !; 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 > inverse > flip > first > domain_of > diagonalise > complement > cantor > z > 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(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(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(z,type,
z: $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_647,axiom,
~ subclass(x,z),
file(unknown,unknown) ).
tff(f_644,axiom,
subclass(x,y),
file(unknown,unknown) ).
tff(f_61,axiom,
! [X,Y] :
( member(not_subclass_element(X,Y),X)
| subclass(X,Y) ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [X,Y,U] :
( ~ subclass(X,Y)
| ~ member(U,X)
| member(U,Y) ),
file(unknown,unknown) ).
tff(f_199,axiom,
! [Z,X,Y] :
( ~ member(Z,X)
| ~ member(Z,Y)
| member(Z,intersection(X,Y)) ),
file(unknown,unknown) ).
tff(f_66,axiom,
! [X,Y] :
( ~ member(not_subclass_element(X,Y),Y)
| subclass(X,Y) ),
file(unknown,unknown) ).
tff(f_191,axiom,
! [Z,X,Y] :
( ~ member(Z,intersection(X,Y))
| member(Z,Y) ),
file(unknown,unknown) ).
tff(f_91,axiom,
! [X,Y] :
( ~ subclass(X,Y)
| ~ subclass(Y,X)
| ( X = Y ) ),
file(unknown,unknown) ).
tff(f_185,axiom,
! [Z,X,Y] :
( ~ member(Z,intersection(X,Y))
| member(Z,X) ),
file(unknown,unknown) ).
tff(f_645,axiom,
subclass(y,z),
file(unknown,unknown) ).
tff(c_188,plain,
~ subclass(x,z),
inference(cnfTransformation,[status(thm)],[f_647]) ).
tff(c_184,plain,
subclass(x,y),
inference(cnfTransformation,[status(thm)],[f_644]) ).
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_61]) ).
tff(c_793,plain,
! [U_285,Y_286,X_287] :
( member(U_285,Y_286)
| ~ member(U_285,X_287)
| ~ subclass(X_287,Y_286) ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_820,plain,
! [X_4,Y_5,Y_286] :
( member(not_subclass_element(X_4,Y_5),Y_286)
| ~ subclass(X_4,Y_286)
| subclass(X_4,Y_5) ),
inference(resolution,[status(thm)],[c_4,c_793]) ).
tff(c_1814,plain,
! [Z_369,X_370,Y_371] :
( member(Z_369,intersection(X_370,Y_371))
| ~ member(Z_369,Y_371)
| ~ member(Z_369,X_370) ),
inference(cnfTransformation,[status(thm)],[f_199]) ).
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_66]) ).
tff(c_841696,plain,
! [X_18538,X_18539,Y_18540] :
( subclass(X_18538,intersection(X_18539,Y_18540))
| ~ member(not_subclass_element(X_18538,intersection(X_18539,Y_18540)),Y_18540)
| ~ member(not_subclass_element(X_18538,intersection(X_18539,Y_18540)),X_18539) ),
inference(resolution,[status(thm)],[c_1814,c_6]) ).
tff(c_858454,plain,
! [X_18988,X_18989] :
( ~ member(not_subclass_element(X_18988,intersection(X_18989,X_18988)),X_18989)
| subclass(X_18988,intersection(X_18989,X_18988)) ),
inference(resolution,[status(thm)],[c_4,c_841696]) ).
tff(c_861065,plain,
! [X_19026,Y_19027] :
( ~ subclass(X_19026,Y_19027)
| subclass(X_19026,intersection(Y_19027,X_19026)) ),
inference(resolution,[status(thm)],[c_820,c_858454]) ).
tff(c_421,plain,
! [X_244,Y_245] :
( subclass(X_244,Y_245)
| member(not_subclass_element(X_244,Y_245),X_244) ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_44,plain,
! [Z_49,Y_51,X_50] :
( member(Z_49,Y_51)
| ~ member(Z_49,intersection(X_50,Y_51)) ),
inference(cnfTransformation,[status(thm)],[f_191]) ).
tff(c_626892,plain,
! [X_13931,Y_13932,Y_13933] :
( member(not_subclass_element(intersection(X_13931,Y_13932),Y_13933),Y_13932)
| subclass(intersection(X_13931,Y_13932),Y_13933) ),
inference(resolution,[status(thm)],[c_421,c_44]) ).
tff(c_627070,plain,
! [X_13934,Y_13935] : subclass(intersection(X_13934,Y_13935),Y_13935),
inference(resolution,[status(thm)],[c_626892,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_91]) ).
tff(c_627149,plain,
! [X_13934,Y_13935] :
( ( intersection(X_13934,Y_13935) = Y_13935 )
| ~ subclass(Y_13935,intersection(X_13934,Y_13935)) ),
inference(resolution,[status(thm)],[c_627070,c_14]) ).
tff(c_861442,plain,
! [Y_19028,X_19029] :
( ( intersection(Y_19028,X_19029) = X_19029 )
| ~ subclass(X_19029,Y_19028) ),
inference(resolution,[status(thm)],[c_861065,c_627149]) ).
tff(c_861713,plain,
intersection(y,x) = x,
inference(resolution,[status(thm)],[c_184,c_861442]) ).
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_185]) ).
tff(c_435,plain,
! [X_47,Y_48,Y_245] :
( member(not_subclass_element(intersection(X_47,Y_48),Y_245),X_47)
| subclass(intersection(X_47,Y_48),Y_245) ),
inference(resolution,[status(thm)],[c_421,c_42]) ).
tff(c_861811,plain,
! [Y_245] :
( member(not_subclass_element(x,Y_245),y)
| subclass(intersection(y,x),Y_245) ),
inference(superposition,[status(thm),theory(equality)],[c_861713,c_435]) ).
tff(c_861856,plain,
! [Y_245] :
( member(not_subclass_element(x,Y_245),y)
| subclass(x,Y_245) ),
inference(demodulation,[status(thm),theory(equality)],[c_861713,c_861811]) ).
tff(c_186,plain,
subclass(y,z),
inference(cnfTransformation,[status(thm)],[f_645]) ).
tff(c_861717,plain,
intersection(z,y) = y,
inference(resolution,[status(thm)],[c_186,c_861442]) ).
tff(c_863333,plain,
! [Z_19035] :
( member(Z_19035,z)
| ~ member(Z_19035,y) ),
inference(superposition,[status(thm),theory(equality)],[c_861717,c_42]) ).
tff(c_875896,plain,
! [X_19196] :
( subclass(X_19196,z)
| ~ member(not_subclass_element(X_19196,z),y) ),
inference(resolution,[status(thm)],[c_863333,c_6]) ).
tff(c_875900,plain,
subclass(x,z),
inference(resolution,[status(thm)],[c_861856,c_875896]) ).
tff(c_875931,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_188,c_188,c_875900]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET027-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 3 16:15:24 EDT 2023
% 0.13/0.34 % CPUTime :
% 235.03/206.57 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 235.03/206.58
% 235.03/206.58 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 235.03/206.61
% 235.03/206.61 Inference rules
% 235.03/206.61 ----------------------
% 235.03/206.61 #Ref : 5
% 235.03/206.61 #Sup : 236114
% 235.03/206.61 #Fact : 76
% 235.03/206.61 #Define : 0
% 235.03/206.61 #Split : 1356
% 235.03/206.61 #Chain : 0
% 235.03/206.61 #Close : 0
% 235.03/206.61
% 235.03/206.61 Ordering : KBO
% 235.03/206.61
% 235.03/206.61 Simplification rules
% 235.03/206.61 ----------------------
% 235.03/206.61 #Subsume : 68633
% 235.03/206.61 #Demod : 118290
% 235.03/206.61 #Tautology : 37489
% 235.03/206.61 #SimpNegUnit : 5649
% 235.03/206.61 #BackRed : 2299
% 235.03/206.61
% 235.03/206.61 #Partial instantiations: 0
% 235.03/206.61 #Strategies tried : 1
% 235.03/206.61
% 235.03/206.61 Timing (in seconds)
% 235.03/206.61 ----------------------
% 235.03/206.61 Preprocessing : 0.69
% 235.03/206.61 Parsing : 0.36
% 235.03/206.61 CNF conversion : 0.05
% 235.03/206.61 Main loop : 204.80
% 235.03/206.61 Inferencing : 25.66
% 235.03/206.61 Reduction : 95.52
% 235.03/206.61 Demodulation : 70.42
% 235.03/206.61 BG Simplification : 1.06
% 235.03/206.61 Subsumption : 63.70
% 235.03/206.61 Abstraction : 1.82
% 235.03/206.61 MUC search : 0.00
% 235.03/206.61 Cooper : 0.00
% 235.03/206.61 Total : 205.55
% 235.03/206.61 Index Insertion : 0.00
% 235.03/206.61 Index Deletion : 0.00
% 235.03/206.61 Index Matching : 0.00
% 235.03/206.61 BG Taut test : 0.00
%------------------------------------------------------------------------------