TSTP Solution File: SET067-7 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET067-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n008.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 05:06:48 EDT 2022
% Result : Unsatisfiable 20.62s 20.85s
% Output : Refutation 20.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of clauses : 25 ( 15 unt; 4 nHn; 17 RR)
% Number of literals : 38 ( 10 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 25 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(subclass_members,axiom,
( ~ subclass(X,Y)
| ~ member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(not_subclass_members1,axiom,
( member(not_subclass_element(X,Y),X)
| subclass(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
cnf(not_subclass_members2,axiom,
( ~ member(not_subclass_element(X,Y),Y)
| subclass(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
cnf(class_elements_are_sets,axiom,
subclass(X,universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(equal_implies_subclass1,axiom,
( X != Y
| subclass(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',equal_implies_subclass1) ).
cnf(unordered_pair_member,axiom,
( ~ member(X,unordered_pair(Y,Z))
| X = Y
| X = Z ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair_member) ).
cnf(unordered_pair2,axiom,
( ~ member(X,universal_class)
| member(X,unordered_pair(X,Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).
cnf(singleton_set,axiom,
unordered_pair(X,X) = singleton(X),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',singleton_set) ).
cnf(transitivity_of_subclass,axiom,
( ~ subclass(X,Y)
| ~ subclass(Y,Z)
| subclass(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_subclass) ).
cnf(null_class_is_subclass,axiom,
subclass(null_class,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',null_class_is_subclass) ).
cnf(null_class_is_unique,axiom,
( X = null_class
| member(not_subclass_element(X,null_class),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',null_class_is_unique) ).
cnf(prove_singleton_in_unordered_pair1_1,negated_conjecture,
~ subclass(singleton(x),unordered_pair(x,y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_singleton_in_unordered_pair1_1) ).
cnf(137,plain,
member(not_subclass_element(singleton(x),unordered_pair(x,y)),singleton(x)),
inference('HYPERRESOLVE',[status(thm)],[prove_singleton_in_unordered_pair1_1,not_subclass_members1]) ).
cnf(138,plain,
~ member(not_subclass_element(singleton(x),unordered_pair(x,y)),unordered_pair(x,y)),
inference('UR-RESOLVE',[status(thm)],[not_subclass_members2,prove_singleton_in_unordered_pair1_1]) ).
cnf(157,plain,
( X = null_class
| member(not_subclass_element(X,null_class),universal_class) ),
inference('HYPERRESOLVE',[status(thm)],[subclass_members,class_elements_are_sets,null_class_is_unique]) ).
cnf(185,plain,
~ subclass(singleton(x),null_class),
inference('UR-RESOLVE',[status(thm)],[transitivity_of_subclass,null_class_is_subclass,prove_singleton_in_unordered_pair1_1]) ).
cnf(222,plain,
( ~ member(X,singleton(Y))
| X = Y ),
inference('PARAMODULATE',[status(thm)],[unordered_pair_member,singleton_set,theory(equality)]) ).
cnf(551,plain,
singleton(x) != null_class,
inference('UR-RESOLVE',[status(thm)],[equal_implies_subclass1,185]) ).
cnf(552,plain,
member(not_subclass_element(singleton(x),null_class),singleton(x)),
inference('HYPERRESOLVE',[status(thm)],[185,not_subclass_members1]) ).
cnf(18986,plain,
member(not_subclass_element(singleton(x),null_class),universal_class),
inference('UR-RESOLVE',[status(thm)],[157,551]) ).
cnf(21923,plain,
not_subclass_element(singleton(x),null_class) = x,
inference('HYPERRESOLVE',[status(thm)],[222,552]) ).
cnf(21925,plain,
member(x,universal_class),
inference('REWRITE',[status(thm)],[18986,21923,theory(equality)]) ).
cnf(21929,plain,
member(x,unordered_pair(x,X)),
inference('HYPERRESOLVE',[status(thm)],[unordered_pair2,21925]) ).
cnf(54808,plain,
not_subclass_element(singleton(x),unordered_pair(x,y)) = x,
inference('HYPERRESOLVE',[status(thm)],[222,137]) ).
cnf(54809,plain,
$false,
inference('REWRITE',[status(thm)],[138,21929,54808,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET067-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jul 9 20:01:38 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.49 #<PACKAGE "SNARK-USER">
% 0.20/0.49 *
% 0.20/0.49 SNARK-TPTP-OPTIONS
% 0.20/0.49 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T20:01:38
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-07-09T20:01:38
% 0.20/0.52
% 0.20/0.52 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 20.62/20.85 ; Declaring unordered_pair to be commutative.
% 20.62/20.85
% 20.62/20.85 #||
% 20.62/20.85 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.62/20.85 % SZS output start Refutation
% See solution above
% 20.62/20.85 ||#
% 20.62/20.85
% 20.62/20.85 ; Summary of computation:
% 20.62/20.85 ; 110272 formulas have been input or derived (from 701 formulas).
% 20.62/20.85 ; 54809 (50%) were retained. Of these,
% 20.62/20.85 ; 1122 ( 2%) were simplified or subsumed later,
% 20.62/20.85 ; 53687 (98%) are still being kept.
% 20.62/20.85 ;
% 20.62/20.85 ; Run time in seconds excluding printing time:
% 20.62/20.85 ; 0.020 0% Read assertion file (1 call)
% 20.62/20.85 ; 0.005 0% Assert (109 calls)
% 20.62/20.85 ; 5.101 25% Process new row (107,207 calls)
% 20.62/20.85 ; 10.231 50% Resolution (1,400 calls)
% 20.62/20.85 ; 0.031 0% Paramodulation (700 calls)
% 20.62/20.85 ; 0.000 0% Factoring (19 calls)
% 20.62/20.85 ; 0.091 0% Condensing (8,312 calls)
% 20.62/20.85 ; 1.044 5% Forward subsumption (8,312 calls)
% 20.62/20.85 ; 0.404 2% Backward subsumption (7,379 calls)
% 20.62/20.85 ; 0.400 2% Clause clause subsumption (29,126 calls)
% 20.62/20.85 ; 1.737 9% Forward simplification (105,954 calls)
% 20.62/20.85 ; 0.858 4% Backward simplification (54,797 calls)
% 20.62/20.85 ; 0.045 0% Ordering (20,723 calls)
% 20.62/20.85 ; 0.000 0% Sortal reasoning (32 calls)
% 20.62/20.85 ; 0.000 0% Purity testing (1 call)
% 20.62/20.85 ; 0.391 2% Other
% 20.62/20.85 ; 20.358 Total
% 20.62/20.85 ; 20.361 Real time
% 20.62/20.85 ;
% 20.62/20.86 ; Term-hash-array has 67,397 terms in all.
% 20.62/20.86 ; Feature-vector-row-index has 7,278 entries (7,284 at peak, 7,379 added, 101 deleted).
% 20.62/20.86 ; Feature-vector-row-index has 28,623 nodes (28,655 at peak, 29,157 added, 534 deleted).
% 20.62/20.86 ; Retrieved 39,909 possibly forward subsuming rows in 8,312 calls.
% 20.62/20.86 ; Retrieved 11,003 possibly backward subsumed rows in 7,379 calls.
% 20.62/20.86 ; Path-index has 66,072 entries (66,075 at peak, 67,469 added, 1,397 deleted).
% 20.62/20.86 ; Path-index has 8,577 nodes (8,577 at peak, 8,720 added, 143 deleted).
% 20.62/20.86 ; Trie-index has 66,072 entries (66,075 at peak, 67,469 added, 1,397 deleted).
% 20.62/20.86 ; Trie-index has 178,019 nodes (178,028 at peak, 181,454 added, 3,435 deleted).
% 20.62/20.86 ; Retrieved 69,679 generalization terms in 324,981 calls.
% 20.62/20.86 ; Retrieved 47,775 instance terms in 47,417 calls.
% 20.62/20.86 ; Retrieved 15,487,851 unifiable terms in 61,508 calls.
% 20.62/20.86 ;
% 20.62/20.86 ; The agenda of backward simplifiable rows to process has 1 entry:
% 20.62/20.86 ; 1 with value 0
% 20.62/20.86 ; The agenda of rows to process has 860 entries:
% 20.62/20.86 ; 2 with value 13 12 with value 19 198 with value 23
% 20.62/20.86 ; 1 with value 14 29 with value 20 348 with value 24
% 20.62/20.86 ; 1 with value 15 64 with value 21 84 with value 25
% 20.62/20.86 ; 1 with value 17 116 with value 22 4 with value 32
% 20.62/20.86 ; The agenda of rows to give has 53023 entries:
% 20.62/20.86 ; 442 with value (4 13) 29 with value (4 25) 10 with value (4 38)
% 20.62/20.86 ; 632 with value (4 14) 35 with value (4 26) 1 with value (4 42)
% 20.62/20.86 ; 1085 with value (4 15) 49 with value (4 27) 1 with value (4 43)
% 20.62/20.86 ; 1650 with value (4 16) 56 with value (4 28) 1 with value (4 44)
% 20.62/20.86 ; 2345 with value (4 17) 107 with value (4 29) 1 with value (4 45)
% 20.62/20.86 ; 4297 with value (4 18) 133 with value (4 30) 3 with value (4 46)
% 20.62/20.86 ; 6566 with value (4 19) 186 with value (4 31) 1 with value (4 49)
% 20.62/20.86 ; 10110 with value (4 20) 16 with value (4 32) 1 with value (4 51)
% 20.62/20.86 ; 11158 with value (4 21) 2 with value (4 33) 1 with value (4 53)
% 20.62/20.86 ; 10002 with value (4 22) 15 with value (4 34) 1 with value (4 59)
% 20.62/20.86 ; 3163 with value (4 23) 5 with value (4 35) 1 with value (4 63)
% 20.62/20.86 ; 915 with value (4 24) 3 with value (4 37)
% 20.62/20.86 Evaluation took:
% 20.62/20.86 20.367 seconds of real time
% 20.62/20.86 19.31584 seconds of user run time
% 20.62/20.86 1.049353 seconds of system run time
% 20.62/20.86 [Run times include 3.514 seconds GC run time.]
% 20.62/20.86 0 calls to %EVAL
% 20.62/20.86 0 page faults and
% 20.62/20.86 827,929,456 bytes consed.
% 20.62/20.86 :PROOF-FOUND
% 20.62/20.86 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T20:01:59
% 20.62/20.86 :PROOF-FOUND
% 20.62/20.86 *
%------------------------------------------------------------------------------