TSTP Solution File: SET024-3 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SET024-3 : TPTP v8.1.2. Released v1.0.0.
% 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 : n004.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 10:55:35 EDT 2023
% Result : Unsatisfiable 5.90s 2.41s
% Output : CNFRefutation 6.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 77
% Syntax : Number of formulae : 84 ( 8 unt; 73 typ; 0 def)
% Number of atoms : 15 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 11 ( 7 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 122 ( 66 >; 56 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-5 aty)
% Number of functors : 60 ( 60 usr; 7 con; 0-5 aty)
% Number of variables : 8 (; 8 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ homomorphism > maps > subset > proper_subset > member > disjoint > closed > single_valued_set > relation > ordered_pair_predicate > one_to_one_function > little_set > function > f33 > f32 > f31 > f30 > f29 > f28 > f22 > apply_to_two_arguments > union > restrict > ordered_pair > non_ordered_pair > intersection > image > f9 > f8 > f7 > f6 > f5 > f4 > f27 > f23 > f17 > f16 > f14 > f13 > f12 > f11 > f10 > f1 > cross_product > compose > apply > #nlpp > successor > singleton_set > sigma > second > rotate_right > range_of > powerset > flip_range_of > first > f3 > f26 > f24 > f21 > f20 > f2 > f19 > f18 > domain_of > converse > complement > universal_set > infinity > identity_relation > f25 > estin > empty_set > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(f3,type,
f3: $i > $i ).
tff(f11,type,
f11: ( $i * $i ) > $i ).
tff(f5,type,
f5: ( $i * $i ) > $i ).
tff(flip_range_of,type,
flip_range_of: $i > $i ).
tff(relation,type,
relation: $i > $o ).
tff(f18,type,
f18: $i > $i ).
tff(a,type,
a: $i ).
tff(f12,type,
f12: ( $i * $i ) > $i ).
tff(estin,type,
estin: $i ).
tff(ordered_pair_predicate,type,
ordered_pair_predicate: $i > $o ).
tff(maps,type,
maps: ( $i * $i * $i ) > $o ).
tff(apply,type,
apply: ( $i * $i ) > $i ).
tff(f13,type,
f13: ( $i * $i ) > $i ).
tff(f9,type,
f9: ( $i * $i ) > $i ).
tff(one_to_one_function,type,
one_to_one_function: $i > $o ).
tff(f14,type,
f14: ( $i * $i ) > $i ).
tff(apply_to_two_arguments,type,
apply_to_two_arguments: ( $i * $i * $i ) > $i ).
tff(ordered_pair,type,
ordered_pair: ( $i * $i ) > $i ).
tff(f25,type,
f25: $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(f30,type,
f30: ( $i * $i * $i ) > $i ).
tff(f20,type,
f20: $i > $i ).
tff(f32,type,
f32: ( $i * $i * $i * $i * $i ) > $i ).
tff(f17,type,
f17: ( $i * $i ) > $i ).
tff(single_valued_set,type,
single_valued_set: $i > $o ).
tff(converse,type,
converse: $i > $i ).
tff(proper_subset,type,
proper_subset: ( $i * $i ) > $o ).
tff(cross_product,type,
cross_product: ( $i * $i ) > $i ).
tff(f24,type,
f24: $i > $i ).
tff(f7,type,
f7: ( $i * $i ) > $i ).
tff(f26,type,
f26: $i > $i ).
tff(subset,type,
subset: ( $i * $i ) > $o ).
tff(singleton_set,type,
singleton_set: $i > $i ).
tff(f22,type,
f22: ( $i * $i * $i ) > $i ).
tff(f2,type,
f2: $i > $i ).
tff(f31,type,
f31: ( $i * $i * $i ) > $i ).
tff(complement,type,
complement: $i > $i ).
tff(member,type,
member: ( $i * $i ) > $o ).
tff(f28,type,
f28: ( $i * $i * $i ) > $i ).
tff(disjoint,type,
disjoint: ( $i * $i ) > $o ).
tff(restrict,type,
restrict: ( $i * $i ) > $i ).
tff(first,type,
first: $i > $i ).
tff(sigma,type,
sigma: $i > $i ).
tff(little_set,type,
little_set: $i > $o ).
tff(f33,type,
f33: ( $i * $i * $i * $i * $i ) > $i ).
tff(f8,type,
f8: ( $i * $i ) > $i ).
tff(empty_set,type,
empty_set: $i ).
tff(f21,type,
f21: $i > $i ).
tff(image,type,
image: ( $i * $i ) > $i ).
tff(range_of,type,
range_of: $i > $i ).
tff(f4,type,
f4: ( $i * $i ) > $i ).
tff(f23,type,
f23: ( $i * $i ) > $i ).
tff(non_ordered_pair,type,
non_ordered_pair: ( $i * $i ) > $i ).
tff(f29,type,
f29: ( $i * $i * $i ) > $i ).
tff(compose,type,
compose: ( $i * $i ) > $i ).
tff(f16,type,
f16: ( $i * $i ) > $i ).
tff(domain_of,type,
domain_of: $i > $i ).
tff(f10,type,
f10: ( $i * $i ) > $i ).
tff(f27,type,
f27: ( $i * $i ) > $i ).
tff(closed,type,
closed: ( $i * $i ) > $o ).
tff(infinity,type,
infinity: $i ).
tff(homomorphism,type,
homomorphism: ( $i * $i * $i * $i * $i ) > $o ).
tff(powerset,type,
powerset: $i > $i ).
tff(f19,type,
f19: $i > $i ).
tff(universal_set,type,
universal_set: $i ).
tff(successor,type,
successor: $i > $i ).
tff(rotate_right,type,
rotate_right: $i > $i ).
tff(identity_relation,type,
identity_relation: $i ).
tff(f1,type,
f1: ( $i * $i ) > $i ).
tff(f6,type,
f6: ( $i * $i ) > $i ).
tff(f_1070,axiom,
little_set(a),
file(unknown,unknown) ).
tff(f_101,axiom,
! [X] : ( singleton_set(X) = non_ordered_pair(X,X) ),
file(unknown,unknown) ).
tff(f_96,axiom,
! [U,X,Y] :
( member(U,non_ordered_pair(X,Y))
| ~ little_set(U)
| ( U != Y ) ),
file(unknown,unknown) ).
tff(f_1072,axiom,
~ member(a,singleton_set(a)),
file(unknown,unknown) ).
tff(c_300,plain,
little_set(a),
inference(cnfTransformation,[status(thm)],[f_1070]) ).
tff(c_18,plain,
! [X_20] : ( non_ordered_pair(X_20,X_20) = singleton_set(X_20) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_439,plain,
! [Y_386,X_387] :
( ~ little_set(Y_386)
| member(Y_386,non_ordered_pair(X_387,Y_386)) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_447,plain,
! [X_388] :
( ~ little_set(X_388)
| member(X_388,singleton_set(X_388)) ),
inference(superposition,[status(thm),theory(equality)],[c_18,c_439]) ).
tff(c_302,plain,
~ member(a,singleton_set(a)),
inference(cnfTransformation,[status(thm)],[f_1072]) ).
tff(c_453,plain,
~ little_set(a),
inference(resolution,[status(thm)],[c_447,c_302]) ).
tff(c_458,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_300,c_453]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET024-3 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13 % 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
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % 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 16:37:57 EDT 2023
% 0.14/0.35 % CPUTime :
% 5.90/2.41 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.90/2.41
% 5.90/2.41 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.08/2.44
% 6.08/2.44 Inference rules
% 6.08/2.44 ----------------------
% 6.08/2.44 #Ref : 0
% 6.08/2.44 #Sup : 27
% 6.08/2.44 #Fact : 0
% 6.08/2.44 #Define : 0
% 6.08/2.44 #Split : 3
% 6.08/2.44 #Chain : 0
% 6.08/2.44 #Close : 0
% 6.08/2.44
% 6.08/2.44 Ordering : KBO
% 6.08/2.44
% 6.08/2.44 Simplification rules
% 6.08/2.44 ----------------------
% 6.08/2.44 #Subsume : 2
% 6.08/2.44 #Demod : 8
% 6.08/2.44 #Tautology : 15
% 6.08/2.44 #SimpNegUnit : 0
% 6.08/2.44 #BackRed : 3
% 6.08/2.44
% 6.08/2.44 #Partial instantiations: 0
% 6.08/2.44 #Strategies tried : 1
% 6.08/2.44
% 6.08/2.44 Timing (in seconds)
% 6.08/2.44 ----------------------
% 6.08/2.44 Preprocessing : 0.87
% 6.08/2.44 Parsing : 0.43
% 6.08/2.44 CNF conversion : 0.06
% 6.08/2.44 Main loop : 0.45
% 6.08/2.44 Inferencing : 0.12
% 6.08/2.44 Reduction : 0.15
% 6.08/2.44 Demodulation : 0.10
% 6.08/2.44 BG Simplification : 0.05
% 6.08/2.44 Subsumption : 0.10
% 6.08/2.44 Abstraction : 0.02
% 6.08/2.44 MUC search : 0.00
% 6.08/2.44 Cooper : 0.00
% 6.08/2.44 Total : 1.38
% 6.08/2.44 Index Insertion : 0.00
% 6.08/2.44 Index Deletion : 0.00
% 6.08/2.44 Index Matching : 0.00
% 6.08/2.44 BG Taut test : 0.00
%------------------------------------------------------------------------------