TSTP Solution File: SET086+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SET086+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 : n023.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 10:55:54 EDT 2023
% Result : Theorem 3.79s 1.95s
% Output : CNFRefutation 3.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 41
% Syntax : Number of formulae : 46 ( 4 unt; 40 typ; 0 def)
% Number of atoms : 11 ( 6 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 10 ( 5 ~; 2 |; 3 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 48 ( 32 >; 16 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 35 ( 35 usr; 8 con; 0-3 aty)
% Number of variables : 4 (; 2 !; 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_9 > #skF_4 > #skF_7 > #skF_3 > #skF_2 > #skF_8 > #skF_1 > #skF_5 > #skF_6
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(null_class,type,
null_class: $i ).
tff('#skF_9',type,
'#skF_9': $i > $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(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_390,negated_conjecture,
~ ! [X] :
? [U] :
( ( member(U,universal_class)
& ( X = singleton(U) ) )
| ( ~ ? [Y] :
( member(Y,universal_class)
& ( X = singleton(Y) ) )
& ( U = X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_of_substitution) ).
tff(c_182,plain,
singleton('#skF_9'('#skF_8')) = '#skF_8',
inference(cnfTransformation,[status(thm)],[f_390]) ).
tff(c_184,plain,
member('#skF_9'('#skF_8'),universal_class),
inference(cnfTransformation,[status(thm)],[f_390]) ).
tff(c_202,plain,
! [U_104] :
( ( singleton(U_104) != '#skF_8' )
| ~ member(U_104,universal_class) ),
inference(cnfTransformation,[status(thm)],[f_390]) ).
tff(c_205,plain,
singleton('#skF_9'('#skF_8')) != '#skF_8',
inference(resolution,[status(thm)],[c_184,c_202]) ).
tff(c_212,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_182,c_205]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET086+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.07/0.14 % 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 : n023.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 16:48:52 EDT 2023
% 0.14/0.36 % CPUTime :
% 3.79/1.95 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.79/1.95
% 3.79/1.95 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.92/1.98
% 3.92/1.98 Inference rules
% 3.92/1.98 ----------------------
% 3.92/1.98 #Ref : 0
% 3.92/1.98 #Sup : 6
% 3.92/1.98 #Fact : 0
% 3.92/1.98 #Define : 0
% 3.92/1.98 #Split : 0
% 3.92/1.98 #Chain : 0
% 3.92/1.98 #Close : 0
% 3.92/1.98
% 3.92/1.98 Ordering : KBO
% 3.92/1.98
% 3.92/1.98 Simplification rules
% 3.92/1.98 ----------------------
% 3.92/1.98 #Subsume : 0
% 3.92/1.98 #Demod : 2
% 3.92/1.98 #Tautology : 5
% 3.92/1.98 #SimpNegUnit : 0
% 3.92/1.98 #BackRed : 0
% 3.92/1.98
% 3.92/1.98 #Partial instantiations: 0
% 3.92/1.98 #Strategies tried : 1
% 3.92/1.98
% 3.92/1.98 Timing (in seconds)
% 3.92/1.98 ----------------------
% 3.92/1.98 Preprocessing : 0.67
% 3.92/1.98 Parsing : 0.34
% 3.92/1.98 CNF conversion : 0.05
% 3.92/1.98 Main loop : 0.25
% 3.92/1.98 Inferencing : 0.04
% 3.92/1.98 Reduction : 0.10
% 3.92/1.98 Demodulation : 0.08
% 3.92/1.98 BG Simplification : 0.03
% 3.92/1.98 Subsumption : 0.06
% 3.92/1.98 Abstraction : 0.02
% 3.92/1.98 MUC search : 0.00
% 3.92/1.98 Cooper : 0.00
% 3.92/1.98 Total : 0.96
% 3.92/1.98 Index Insertion : 0.00
% 3.92/1.98 Index Deletion : 0.00
% 3.92/1.98 Index Matching : 0.00
% 3.92/1.98 BG Taut test : 0.00
%------------------------------------------------------------------------------