%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET104-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 : 600s
% DateTime : Tue Jul 19 05:07:26 EDT 2022
% Result : Unsatisfiable 1.07s 1.25s
% Output : Refutation 1.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of clauses : 19 ( 15 unt; 3 nHn; 9 RR)
% Number of literals : 24 ( 14 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 10 ( 3 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 21 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(subclass_members,axiom,
( ~ subclass(X,Y)
| ~ member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(class_elements_are_sets,axiom,
subclass(X,universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(ordered_pair,axiom,
unordered_pair(singleton(X),unordered_pair(X,singleton(Y))) = ordered_pair(X,Y),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',ordered_pair) ).
cnf(union,axiom,
complement(intersection(complement(X),complement(Y))) = union(X,Y),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',union) ).
cnf(unordered_pair_equals_singleton1,axiom,
( member(X,universal_class)
| unordered_pair(X,Y) = singleton(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_equals_singleton1) ).
cnf(singleton_is_null_class,axiom,
( member(X,universal_class)
| singleton(X) = null_class ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_is_null_class) ).
cnf(unordered_pairs_and_singletons,axiom,
unordered_pair(X,Y) = union(singleton(X),singleton(Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pairs_and_singletons) ).
cnf(148,plain,
unordered_pair(X,Y) = complement(intersection(complement(singleton(X)),complement(singleton(Y)))),
inference('REWRITE',[status(thm)],[unordered_pairs_and_singletons,union,theory(equality)]) ).
cnf(prove_property_2_of_ordered_pair_2,negated_conjecture,
unordered_pair(null_class,singleton(singleton(y))) != ordered_pair(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_property_2_of_ordered_pair_2) ).
cnf(154,plain,
complement(intersection(complement(singleton(null_class)),complement(singleton(singleton(singleton(y)))))) != ordered_pair(x,y),
inference('REWRITE',[status(thm)],[prove_property_2_of_ordered_pair_2,148,theory(equality)]) ).
cnf(prove_property_2_of_ordered_pair_3,negated_conjecture,
~ member(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_property_2_of_ordered_pair_3) ).
cnf(158,plain,
complement(intersection(complement(singleton(singleton(X))),complement(singleton(complement(intersection(complement(singleton(X)),complement(singleton(singleton(Y))))))))) = ordered_pair(X,Y),
inference('REWRITE',[status(thm)],[ordered_pair,148,theory(equality)]) ).
cnf(181,plain,
complement(intersection(complement(singleton(null_class)),complement(singleton(singleton(singleton(y)))))) != complement(intersection(complement(singleton(singleton(x))),complement(singleton(complement(intersection(complement(singleton(x)),complement(singleton(singleton(y))))))))),
inference('REWRITE',[status(thm)],[154,158,theory(equality)]) ).
cnf(188,plain,
( member(X,universal_class)
| complement(intersection(complement(singleton(X)),complement(singleton(Y)))) = singleton(Y) ),
inference('REWRITE',[status(thm)],[unordered_pair_equals_singleton1,148,theory(equality)]) ).
cnf(220,plain,
singleton(x) = null_class,
inference('HYPERRESOLVE',[status(thm)],[prove_property_2_of_ordered_pair_3,singleton_is_null_class]) ).
cnf(221,plain,
complement(intersection(complement(singleton(null_class)),complement(singleton(singleton(singleton(y)))))) != complement(intersection(complement(singleton(null_class)),complement(singleton(complement(intersection(complement(null_class),complement(singleton(singleton(y))))))))),
inference('REWRITE',[status(thm)],[181,220,theory(equality)]) ).
cnf(244,plain,
~ member(x,X),
inference('UR-RESOLVE',[status(thm)],[subclass_members,class_elements_are_sets,prove_property_2_of_ordered_pair_3]) ).
cnf(1269,plain,
complement(intersection(complement(null_class),complement(singleton(X)))) = singleton(X),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[244,188]),220,theory(equality)]) ).
cnf(1270,plain,
$false,
inference('REWRITE',[status(thm)],[221,1269,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET104-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jul 9 18:00:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T18:00:23
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-07-09T18:00:23
% 0.20/0.52
% 0.20/0.52 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 1.07/1.25 ; Declaring unordered_pair to be commutative.
% 1.07/1.25
% 1.07/1.25 #||
% 1.07/1.25 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.07/1.25 % SZS output start Refutation
% See solution above
% 1.10/1.25 ||#
% 1.10/1.25
% 1.10/1.25 ; Summary of computation:
% 1.10/1.25 ; 2479 formulas have been input or derived (from 144 formulas).
% 1.10/1.25 ; 1270 (51%) were retained. Of these,
% 1.10/1.25 ; 107 ( 8%) were simplified or subsumed later,
% 1.10/1.25 ; 1163 (92%) are still being kept.
% 1.10/1.25 ;
% 1.10/1.25 ; Run time in seconds excluding printing time:
% 1.10/1.25 ; 0.027 3% Read assertion file (1 call)
% 1.10/1.25 ; 0.005 1% Assert (149 calls)
% 1.10/1.25 ; 0.163 21% Process new row (2,272 calls)
% 1.10/1.25 ; 0.075 10% Resolution (286 calls)
% 1.10/1.26 ; 0.052 7% Paramodulation (143 calls)
% 1.10/1.26 ; 0.000 0% Factoring (14 calls)
% 1.10/1.26 ; 0.023 3% Condensing (1,239 calls)
% 1.10/1.26 ; 0.200 26% Forward subsumption (1,239 calls)
% 1.10/1.26 ; 0.051 7% Backward subsumption (986 calls)
% 1.10/1.26 ; 0.018 2% Clause clause subsumption (5,862 calls)
% 1.10/1.26 ; 0.111 14% Forward simplification (2,269 calls)
% 1.10/1.26 ; 0.014 2% Backward simplification (1,255 calls)
% 1.10/1.26 ; 0.009 1% Ordering (4,336 calls)
% 1.10/1.26 ; 0.000 0% Sortal reasoning (32 calls)
% 1.10/1.26 ; 0.000 0% Purity testing (1 call)
% 1.10/1.26 ; 0.031 4% Other
% 1.10/1.26 ; 0.779 Total
% 1.10/1.26 ; 0.781 Real time
% 1.10/1.26 ;
% 1.10/1.26 ; Term-hash-array has 3,958 terms in all.
% 1.10/1.26 ; Feature-vector-row-index has 921 entries (937 at peak, 986 added, 65 deleted).
% 1.10/1.26 ; Feature-vector-row-index has 8,786 nodes (8,929 at peak, 9,333 added, 547 deleted).
% 1.10/1.26 ; Retrieved 8,874 possibly forward subsuming rows in 1,239 calls.
% 1.10/1.26 ; Retrieved 351 possibly backward subsumed rows in 986 calls.
% 1.10/1.26 ; Path-index has 3,853 entries (3,872 at peak, 4,100 added, 247 deleted).
% 1.10/1.26 ; Path-index has 9,488 nodes (9,523 at peak, 9,844 added, 356 deleted).
% 1.10/1.26 ; Trie-index has 3,853 entries (3,872 at peak, 4,100 added, 247 deleted).
% 1.10/1.26 ; Trie-index has 17,082 nodes (17,209 at peak, 18,036 added, 954 deleted).
% 1.10/1.26 ; Retrieved 9,668 generalization terms in 27,575 calls.
% 1.10/1.26 ; Retrieved 398 instance terms in 268 calls.
% 1.10/1.26 ; Retrieved 46,758 unifiable terms in 2,034 calls.
% 1.10/1.26 ;
% 1.10/1.26 ; The agenda of backward simplifiable rows to process has 2 entries:
% 1.10/1.26 ; 2 with value 0
% 1.10/1.26 ; The agenda of rows to process has 11 entries:
% 1.10/1.26 ; 1 with value 18 1 with value 31 7 with value 33
% 1.10/1.26 ; 2 with value 21
% 1.10/1.26 ; The agenda of rows to give has 1022 entries:
% 1.10/1.26 ; 2 with value (4 6) 12 with value (4 44) 2 with value (4 83)
% 1.10/1.26 ; 15 with value (4 7) 8 with value (4 45) 4 with value (4 84)
% 1.10/1.26 ; 13 with value (4 8) 19 with value (4 46) 7 with value (4 87)
% 1.10/1.26 ; 15 with value (4 9) 8 with value (4 47) 4 with value (4 90)
% 1.10/1.26 ; 13 with value (4 10) 19 with value (4 48) 3 with value (4 93)
% 1.10/1.26 ; 9 with value (4 11) 14 with value (4 49) 2 with value (4 96)
% 1.10/1.26 ; 11 with value (4 12) 15 with value (4 50) 3 with value (4 99)
% 1.10/1.26 ; 12 with value (4 13) 17 with value (4 51) 2 with value (4 100)
% 1.10/1.26 ; 15 with value (4 14) 16 with value (4 52) 1 with value (4 103)
% 1.10/1.26 ; 19 with value (4 15) 9 with value (4 53) 1 with value (4 105)
% 1.10/1.26 ; 14 with value (4 16) 13 with value (4 54) 2 with value (4 106)
% 1.10/1.26 ; 22 with value (4 17) 9 with value (4 55) 3 with value (4 109)
% 1.10/1.26 ; 21 with value (4 18) 8 with value (4 56) 1 with value (4 110)
% 1.10/1.26 ; 27 with value (4 19) 16 with value (4 57) 1 with value (4 111)
% 1.10/1.26 ; 19 with value (4 20) 12 with value (4 58) 1 with value (4 113)
% 1.10/1.26 ; 18 with value (4 21) 17 with value (4 59) 1 with value (4 125)
% 1.10/1.26 ; 14 with value (4 22) 2 with value (4 60) 2 with value (4 129)
% 1.10/1.26 ; 24 with value (4 23) 7 with value (4 61) 3 with value (4 139)
% 1.10/1.26 ; 23 with value (4 24) 9 with value (4 62) 1 with value (4 141)
% 1.10/1.26 ; 17 with value (4 25) 7 with value (4 63) 1 with value (4 142)
% 1.10/1.26 ; 10 with value (4 26) 5 with value (4 64) 3 with value (4 144)
% 1.10/1.26 ; 17 with value (4 27) 12 with value (4 65) 1 with value (4 149)
% 1.10/1.26 ; 13 with value (4 28) 10 with value (4 66) 1 with value (4 150)
% 1.10/1.26 ; 10 with value (4 29) 8 with value (4 67) 1 with value (4 152)
% 1.10/1.26 ; 15 with value (4 30) 9 with value (4 68) 1 with value (4 168)
% 1.10/1.26 ; 23 with value (4 31) 12 with value (4 69) 1 with value (4 173)
% 1.10/1.26 ; 10 with value (4 32) 10 with value (4 70) 1 with value (4 183)
% 1.10/1.26 ; 12 with value (4 33) 13 with value (4 71) 2 with value (4 187)
% 1.10/1.26 ; 12 with value (4 34) 10 with value (4 72) 1 with value (4 198)
% 1.10/1.26 ; 13 with value (4 35) 2 with value (4 73) 1 with value (4 208)
% 1.10/1.26 ; 12 with value (4 36) 5 with value (4 74) 2 with value (4 209)
% 1.10/1.26 ; 6 with value (4 37) 5 with value (4 75) 1 with value (4 210)
% 1.10/1.26 ; 12 with value (4 38) 2 with value (4 76) 2 with value (4 214)
% 1.10/1.26 ; 17 with value (4 39) 6 with value (4 77) 1 with value (4 216)
% 1.10/1.26 ; 32 with value (4 40) 9 with value (4 78) 1 with value (4 238)
% 1.10/1.26 ; 19 with value (4 41) 1 with value (4 79) 1 with value (4 239)
% 1.10/1.26 ; 17 with value (4 42) 4 with value (4 80) 1 with value (4 349)
% 1.10/1.26 ; 20 with value (4 43) 2 with value (4 81)
% 1.10/1.26 Evaluation took:
% 1.10/1.26 0.782 seconds of real time
% 1.10/1.26 0.736109 seconds of user run time
% 1.10/1.26 0.045956 seconds of system run time
% 1.10/1.26 [Run times include 0.076 seconds GC run time.]
% 1.10/1.26 0 calls to %EVAL
% 1.10/1.26 0 page faults and
% 1.10/1.26 69,522,112 bytes consed.
% 1.10/1.26 :PROOF-FOUND
% 1.10/1.26 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T18:00:24
% 1.10/1.26 :PROOF-FOUND
% 1.10/1.26 *
%------------------------------------------------------------------------------