TSTP Solution File: SET479-6 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SET479-6 : 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 : n013.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 10:56:29 EDT 2023
% Result : Unsatisfiable 34.86s 21.38s
% Output : CNFRefutation 34.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 63
% Syntax : Number of formulae : 74 ( 8 unt; 57 typ; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 16 ~; 13 |; 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 : 72 ( 44 >; 28 *; 0 +; 0 <<)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 47 ( 47 usr; 13 con; 0-3 aty)
% Number of variables : 22 (; 22 !; 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_778,axiom,
member(x,universal_class),
file(unknown,unknown) ).
tff(f_709,axiom,
subclass(domain_relation,cross_product(universal_class,universal_class)),
file(unknown,unknown) ).
tff(f_719,axiom,
! [X] :
( ~ member(X,universal_class)
| member(ordered_pair(X,domain_of(X)),domain_relation) ),
file(unknown,unknown) ).
tff(f_66,axiom,
! [X,Y,U] :
( ~ subclass(X,Y)
| ~ member(U,X)
| member(U,Y) ),
file(unknown,unknown) ).
tff(f_151,axiom,
! [U,V,X,Y] :
( ~ member(ordered_pair(U,V),cross_product(X,Y))
| member(V,Y) ),
file(unknown,unknown) ).
tff(f_780,axiom,
~ member(domain_of(x),universal_class),
file(unknown,unknown) ).
tff(c_226,plain,
member(x,universal_class),
inference(cnfTransformation,[status(thm)],[f_778]) ).
tff(c_196,plain,
subclass(domain_relation,cross_product(universal_class,universal_class)),
inference(cnfTransformation,[status(thm)],[f_709]) ).
tff(c_1067,plain,
! [X_349] :
( member(ordered_pair(X_349,domain_of(X_349)),domain_relation)
| ~ member(X_349,universal_class) ),
inference(cnfTransformation,[status(thm)],[f_719]) ).
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_66]) ).
tff(c_52739,plain,
! [X_2110,Y_2111] :
( member(ordered_pair(X_2110,domain_of(X_2110)),Y_2111)
| ~ subclass(domain_relation,Y_2111)
| ~ member(X_2110,universal_class) ),
inference(resolution,[status(thm)],[c_1067,c_2]) ).
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_151]) ).
tff(c_91489,plain,
! [X_3093,Y_3094,X_3095] :
( member(domain_of(X_3093),Y_3094)
| ~ subclass(domain_relation,cross_product(X_3095,Y_3094))
| ~ member(X_3093,universal_class) ),
inference(resolution,[status(thm)],[c_52739,c_30]) ).
tff(c_91503,plain,
! [X_3096] :
( member(domain_of(X_3096),universal_class)
| ~ member(X_3096,universal_class) ),
inference(resolution,[status(thm)],[c_196,c_91489]) ).
tff(c_228,plain,
~ member(domain_of(x),universal_class),
inference(cnfTransformation,[status(thm)],[f_780]) ).
tff(c_91514,plain,
~ member(x,universal_class),
inference(resolution,[status(thm)],[c_91503,c_228]) ).
tff(c_91535,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_226,c_91514]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SET479-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.15/0.15 % 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
% 0.15/0.36 % Computer : n013.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 16:03:18 EDT 2023
% 0.15/0.36 % CPUTime :
% 34.86/21.38 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 34.86/21.39
% 34.86/21.39 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 34.86/21.42
% 34.86/21.42 Inference rules
% 34.86/21.42 ----------------------
% 34.86/21.42 #Ref : 3
% 34.86/21.42 #Sup : 23537
% 34.86/21.42 #Fact : 8
% 34.86/21.42 #Define : 0
% 34.86/21.42 #Split : 303
% 34.86/21.42 #Chain : 0
% 34.86/21.42 #Close : 0
% 34.86/21.42
% 34.86/21.42 Ordering : KBO
% 34.86/21.42
% 34.86/21.42 Simplification rules
% 34.86/21.42 ----------------------
% 34.86/21.42 #Subsume : 6689
% 34.86/21.42 #Demod : 9839
% 34.86/21.42 #Tautology : 3414
% 34.86/21.42 #SimpNegUnit : 561
% 34.86/21.42 #BackRed : 805
% 34.86/21.42
% 34.86/21.42 #Partial instantiations: 0
% 34.86/21.42 #Strategies tried : 1
% 34.86/21.42
% 34.86/21.42 Timing (in seconds)
% 34.86/21.42 ----------------------
% 34.86/21.42 Preprocessing : 0.73
% 34.86/21.42 Parsing : 0.39
% 34.86/21.42 CNF conversion : 0.05
% 34.86/21.42 Main loop : 19.55
% 34.86/21.42 Inferencing : 3.47
% 34.86/21.42 Reduction : 8.68
% 34.86/21.42 Demodulation : 6.15
% 34.86/21.42 BG Simplification : 0.17
% 34.86/21.42 Subsumption : 5.57
% 34.86/21.42 Abstraction : 0.22
% 34.86/21.42 MUC search : 0.00
% 34.86/21.42 Cooper : 0.00
% 34.86/21.42 Total : 20.32
% 34.86/21.42 Index Insertion : 0.00
% 34.86/21.42 Index Deletion : 0.00
% 34.86/21.42 Index Matching : 0.00
% 34.86/21.42 BG Taut test : 0.00
%------------------------------------------------------------------------------