TSTP Solution File: SET056+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SET056+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 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 : n015.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 10:55:43 EDT 2023
% Result : Theorem 5.03s 2.28s
% Output : CNFRefutation 5.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 43
% Syntax : Number of formulae : 57 ( 5 unt; 40 typ; 0 def)
% Number of atoms : 35 ( 5 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 31 ( 13 ~; 12 |; 3 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 47 ( 31 >; 16 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 35 ( 35 usr; 9 con; 0-3 aty)
% Number of variables : 21 (; 19 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ subclass > member > disjoint > inductive > function > restrict > unordered_pair > union > ordered_pair > intersection > image > cross_product > compose > apply > #nlpp > sum_class > successor > singleton > second > rotate > range_of > power_class > inverse > flip > first > domain_of > complement > universal_class > successor_relation > null_class > identity_relation > element_relation > #skF_4 > #skF_7 > #skF_3 > #skF_2 > #skF_9 > #skF_8 > #skF_1 > #skF_5 > #skF_6
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(null_class,type,
null_class: $i ).
tff(rotate,type,
rotate: $i > $i ).
tff('#skF_4',type,
'#skF_4': $i > $i ).
tff(subclass,type,
subclass: ( $i * $i ) > $o ).
tff(singleton,type,
singleton: $i > $i ).
tff(sum_class,type,
sum_class: $i > $i ).
tff(apply,type,
apply: ( $i * $i ) > $i ).
tff(unordered_pair,type,
unordered_pair: ( $i * $i ) > $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(ordered_pair,type,
ordered_pair: ( $i * $i ) > $i ).
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('#skF_7',type,
'#skF_7': $i ).
tff('#skF_3',type,
'#skF_3': ( $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(restrict,type,
restrict: ( $i * $i * $i ) > $i ).
tff(complement,type,
complement: $i > $i ).
tff(member,type,
member: ( $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': $i ).
tff(disjoint,type,
disjoint: ( $i * $i ) > $o ).
tff('#skF_9',type,
'#skF_9': $i ).
tff(first,type,
first: $i > $i ).
tff(image,type,
image: ( $i * $i ) > $i ).
tff(range_of,type,
range_of: $i > $i ).
tff('#skF_8',type,
'#skF_8': $i ).
tff(inductive,type,
inductive: $i > $o ).
tff(compose,type,
compose: ( $i * $i ) > $i ).
tff(domain_of,type,
domain_of: $i > $i ).
tff(successor,type,
successor: $i > $i ).
tff(successor_relation,type,
successor_relation: $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff(identity_relation,type,
identity_relation: $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i ) > $i ).
tff('#skF_6',type,
'#skF_6': $i > $i ).
tff(universal_class,type,
universal_class: $i ).
tff(f_391,negated_conjecture,
~ ! [X,Y] :
( ( X = Y )
| ? [U] :
( member(U,X)
& ~ member(U,Y) )
| ? [W] :
( member(W,Y)
& ~ member(W,X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equality1) ).
tff(f_68,axiom,
! [X,Y] :
( subclass(X,Y)
<=> ! [U] :
( member(U,X)
=> member(U,Y) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',subclass_defn) ).
tff(f_79,axiom,
! [X,Y] :
( ( X = Y )
<=> ( subclass(X,Y)
& subclass(Y,X) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',extensionality) ).
tff(c_184,plain,
'#skF_9' != '#skF_8',
inference(cnfTransformation,[status(thm)],[f_391]) ).
tff(c_695,plain,
! [X_205,Y_206] :
( member('#skF_1'(X_205,Y_206),X_205)
| subclass(X_205,Y_206) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_182,plain,
! [U_97] :
( member(U_97,'#skF_9')
| ~ member(U_97,'#skF_8') ),
inference(cnfTransformation,[status(thm)],[f_391]) ).
tff(c_565,plain,
! [X_188,Y_189] :
( ~ member('#skF_1'(X_188,Y_189),Y_189)
| subclass(X_188,Y_189) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_580,plain,
! [X_188] :
( subclass(X_188,'#skF_9')
| ~ member('#skF_1'(X_188,'#skF_9'),'#skF_8') ),
inference(resolution,[status(thm)],[c_182,c_565]) ).
tff(c_757,plain,
subclass('#skF_8','#skF_9'),
inference(resolution,[status(thm)],[c_695,c_580]) ).
tff(c_10,plain,
! [Y_8,X_7] :
( ( Y_8 = X_7 )
| ~ subclass(Y_8,X_7)
| ~ subclass(X_7,Y_8) ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_782,plain,
( ( '#skF_9' = '#skF_8' )
| ~ subclass('#skF_9','#skF_8') ),
inference(resolution,[status(thm)],[c_757,c_10]) ).
tff(c_785,plain,
~ subclass('#skF_9','#skF_8'),
inference(negUnitSimplification,[status(thm)],[c_184,c_782]) ).
tff(c_180,plain,
! [W_98] :
( member(W_98,'#skF_8')
| ~ member(W_98,'#skF_9') ),
inference(cnfTransformation,[status(thm)],[f_391]) ).
tff(c_928,plain,
! [Y_228] :
( member('#skF_1'('#skF_9',Y_228),'#skF_8')
| subclass('#skF_9',Y_228) ),
inference(resolution,[status(thm)],[c_695,c_180]) ).
tff(c_4,plain,
! [X_1,Y_2] :
( ~ member('#skF_1'(X_1,Y_2),Y_2)
| subclass(X_1,Y_2) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_936,plain,
subclass('#skF_9','#skF_8'),
inference(resolution,[status(thm)],[c_928,c_4]) ).
tff(c_942,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_785,c_785,c_936]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : SET056+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.14/0.14 % 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
% 0.14/0.36 % Computer : n015.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 17:03:29 EDT 2023
% 0.14/0.36 % CPUTime :
% 5.03/2.28 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.03/2.28
% 5.03/2.28 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.03/2.31
% 5.03/2.31 Inference rules
% 5.03/2.31 ----------------------
% 5.03/2.31 #Ref : 0
% 5.03/2.31 #Sup : 143
% 5.03/2.31 #Fact : 0
% 5.03/2.31 #Define : 0
% 5.03/2.31 #Split : 7
% 5.03/2.31 #Chain : 0
% 5.03/2.31 #Close : 0
% 5.03/2.31
% 5.03/2.31 Ordering : KBO
% 5.03/2.31
% 5.03/2.31 Simplification rules
% 5.03/2.31 ----------------------
% 5.03/2.31 #Subsume : 21
% 5.03/2.31 #Demod : 14
% 5.03/2.31 #Tautology : 29
% 5.03/2.31 #SimpNegUnit : 4
% 5.03/2.31 #BackRed : 7
% 5.03/2.31
% 5.03/2.31 #Partial instantiations: 0
% 5.03/2.31 #Strategies tried : 1
% 5.03/2.31
% 5.03/2.31 Timing (in seconds)
% 5.03/2.31 ----------------------
% 5.03/2.31 Preprocessing : 0.65
% 5.03/2.31 Parsing : 0.34
% 5.03/2.31 CNF conversion : 0.05
% 5.03/2.31 Main loop : 0.51
% 5.03/2.31 Inferencing : 0.18
% 5.03/2.31 Reduction : 0.15
% 5.03/2.31 Demodulation : 0.10
% 5.03/2.31 BG Simplification : 0.04
% 5.03/2.31 Subsumption : 0.12
% 5.03/2.31 Abstraction : 0.02
% 5.03/2.31 MUC search : 0.00
% 5.03/2.31 Cooper : 0.00
% 5.03/2.31 Total : 1.21
% 5.03/2.31 Index Insertion : 0.00
% 5.03/2.31 Index Deletion : 0.00
% 5.03/2.31 Index Matching : 0.00
% 5.03/2.31 BG Taut test : 0.00
%------------------------------------------------------------------------------