TSTP Solution File: SET064-6 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SET064-6 : 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 : n006.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 10:55:47 EDT 2023
% Result : Unsatisfiable 6.52s 2.49s
% Output : CNFRefutation 6.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 55
% Syntax : Number of formulae : 75 ( 10 unt; 48 typ; 0 def)
% Number of atoms : 49 ( 13 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 46 ( 24 ~; 22 |; 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 : 39 ( 39 usr; 9 con; 0-3 aty)
% Number of variables : 30 (; 30 !; 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 > 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(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(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_645,axiom,
z != null_class,
file(unknown,unknown) ).
tff(f_61,axiom,
! [X,Y] :
( member(not_subclass_element(X,Y),X)
| subclass(X,Y) ),
file(unknown,unknown) ).
tff(f_647,axiom,
~ member(not_subclass_element(z,null_class),z),
file(unknown,unknown) ).
tff(f_470,axiom,
! [X] :
( ( X = null_class )
| member(regular(X),X) ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [X,Y,U] :
( ~ subclass(X,Y)
| ~ member(U,X)
| member(U,Y) ),
file(unknown,unknown) ).
tff(f_71,axiom,
! [X] : subclass(X,universal_class),
file(unknown,unknown) ).
tff(f_207,axiom,
! [Z,X] :
( ~ member(Z,complement(X))
| ~ member(Z,X) ),
file(unknown,unknown) ).
tff(c_184,plain,
z != null_class,
inference(cnfTransformation,[status(thm)],[f_645]) ).
tff(c_469,plain,
! [X_243,Y_244] :
( subclass(X_243,Y_244)
| member(not_subclass_element(X_243,Y_244),X_243) ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_186,plain,
~ member(not_subclass_element(z,null_class),z),
inference(cnfTransformation,[status(thm)],[f_647]) ).
tff(c_489,plain,
subclass(z,null_class),
inference(resolution,[status(thm)],[c_469,c_186]) ).
tff(c_132,plain,
! [X_131] :
( member(regular(X_131),X_131)
| ( null_class = X_131 ) ),
inference(cnfTransformation,[status(thm)],[f_470]) ).
tff(c_792,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_827,plain,
! [X_131,Y_286] :
( member(regular(X_131),Y_286)
| ~ subclass(X_131,Y_286)
| ( null_class = X_131 ) ),
inference(resolution,[status(thm)],[c_132,c_792]) ).
tff(c_8,plain,
! [X_8] : subclass(X_8,universal_class),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_1647,plain,
! [X_377,Y_378] :
( member(regular(X_377),Y_378)
| ~ subclass(X_377,Y_378)
| ( null_class = X_377 ) ),
inference(resolution,[status(thm)],[c_132,c_792]) ).
tff(c_237,plain,
! [Z_201,X_202] :
( ~ member(Z_201,X_202)
| ~ member(Z_201,complement(X_202)) ),
inference(cnfTransformation,[status(thm)],[f_207]) ).
tff(c_246,plain,
! [X_202] :
( ~ member(regular(complement(X_202)),X_202)
| ( complement(X_202) = null_class ) ),
inference(resolution,[status(thm)],[c_132,c_237]) ).
tff(c_1701,plain,
! [Y_379] :
( ~ subclass(complement(Y_379),Y_379)
| ( complement(Y_379) = null_class ) ),
inference(resolution,[status(thm)],[c_1647,c_246]) ).
tff(c_1723,plain,
complement(universal_class) = null_class,
inference(resolution,[status(thm)],[c_8,c_1701]) ).
tff(c_48,plain,
! [Z_55,X_56] :
( ~ member(Z_55,X_56)
| ~ member(Z_55,complement(X_56)) ),
inference(cnfTransformation,[status(thm)],[f_207]) ).
tff(c_1813,plain,
! [Z_381] :
( ~ member(Z_381,universal_class)
| ~ member(Z_381,null_class) ),
inference(superposition,[status(thm),theory(equality)],[c_1723,c_48]) ).
tff(c_1817,plain,
! [X_131] :
( ~ member(regular(X_131),null_class)
| ~ subclass(X_131,universal_class)
| ( null_class = X_131 ) ),
inference(resolution,[status(thm)],[c_827,c_1813]) ).
tff(c_2047,plain,
! [X_399] :
( ~ member(regular(X_399),null_class)
| ( null_class = X_399 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8,c_1817]) ).
tff(c_2062,plain,
! [X_400] :
( ~ subclass(X_400,null_class)
| ( null_class = X_400 ) ),
inference(resolution,[status(thm)],[c_827,c_2047]) ).
tff(c_2065,plain,
z = null_class,
inference(resolution,[status(thm)],[c_489,c_2062]) ).
tff(c_2081,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_184,c_2065]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET064-6 : 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
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 16:05:58 EDT 2023
% 0.14/0.35 % CPUTime :
% 6.52/2.49 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.52/2.50
% 6.52/2.50 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.77/2.53
% 6.77/2.53 Inference rules
% 6.77/2.53 ----------------------
% 6.77/2.53 #Ref : 0
% 6.77/2.53 #Sup : 441
% 6.77/2.53 #Fact : 0
% 6.77/2.53 #Define : 0
% 6.77/2.53 #Split : 14
% 6.77/2.53 #Chain : 0
% 6.77/2.53 #Close : 0
% 6.77/2.53
% 6.77/2.53 Ordering : KBO
% 6.77/2.53
% 6.77/2.53 Simplification rules
% 6.77/2.53 ----------------------
% 6.77/2.53 #Subsume : 52
% 6.77/2.53 #Demod : 63
% 6.77/2.53 #Tautology : 79
% 6.77/2.53 #SimpNegUnit : 5
% 6.77/2.53 #BackRed : 3
% 6.77/2.53
% 6.77/2.53 #Partial instantiations: 0
% 6.77/2.53 #Strategies tried : 1
% 6.77/2.53
% 6.77/2.53 Timing (in seconds)
% 6.77/2.53 ----------------------
% 6.77/2.53 Preprocessing : 0.69
% 6.77/2.53 Parsing : 0.36
% 6.77/2.53 CNF conversion : 0.05
% 6.77/2.53 Main loop : 0.77
% 6.77/2.53 Inferencing : 0.26
% 6.77/2.53 Reduction : 0.23
% 6.77/2.53 Demodulation : 0.16
% 6.77/2.53 BG Simplification : 0.05
% 6.77/2.53 Subsumption : 0.18
% 6.77/2.53 Abstraction : 0.03
% 6.77/2.53 MUC search : 0.00
% 6.77/2.53 Cooper : 0.00
% 6.77/2.53 Total : 1.51
% 6.77/2.53 Index Insertion : 0.00
% 6.77/2.53 Index Deletion : 0.00
% 6.77/2.54 Index Matching : 0.00
% 6.77/2.54 BG Taut test : 0.00
%------------------------------------------------------------------------------