TSTP Solution File: SET067-6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET067-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n003.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 5.47s 5.66s
% Output : Refutation 5.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 17 ( 11 unt; 2 nHn; 12 RR)
% Number of literals : 25 ( 5 equ; 9 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 17 ( 3 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(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(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(119,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(120,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(168,plain,
( ~ member(X,singleton(Y))
| X = Y ),
inference('PARAMODULATE',[status(thm)],[unordered_pair_member,singleton_set,theory(equality)]) ).
cnf(23201,plain,
member(not_subclass_element(singleton(x),unordered_pair(x,y)),universal_class),
inference('HYPERRESOLVE',[status(thm)],[subclass_members,119,class_elements_are_sets]) ).
cnf(23202,plain,
not_subclass_element(singleton(x),unordered_pair(x,y)) = x,
inference('HYPERRESOLVE',[status(thm)],[168,119]) ).
cnf(23204,plain,
~ member(x,unordered_pair(x,y)),
inference('REWRITE',[status(thm)],[120,23202,theory(equality)]) ).
cnf(23205,plain,
member(x,universal_class),
inference('REWRITE',[status(thm)],[23201,23202,theory(equality)]) ).
cnf(23210,plain,
member(x,unordered_pair(x,X)),
inference('HYPERRESOLVE',[status(thm)],[unordered_pair2,23205]) ).
cnf(23211,plain,
$false,
inference('REWRITE',[status(thm)],[23204,23210]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET067-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n003.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 : Sun Jul 10 11:01:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-07-10T11:01:59
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-07-10T11:01:59
% 5.47/5.66
% 5.47/5.66
% 5.47/5.66 #||
% 5.47/5.66 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.47/5.66 % SZS output start Refutation
% See solution above
% 5.47/5.66 ||#
% 5.47/5.66
% 5.47/5.66 ; Summary of computation:
% 5.47/5.66 ; 46194 formulas have been input or derived (from 507 formulas).
% 5.47/5.66 ; 23211 (50%) were retained. Of these,
% 5.47/5.66 ; 353 ( 2%) were simplified or subsumed later,
% 5.47/5.66 ; 22858 (98%) are still being kept.
% 5.47/5.66 ;
% 5.47/5.66 ; Run time in seconds excluding printing time:
% 5.47/5.66 ; 0.017 0% Read assertion file (1 call)
% 5.47/5.66 ; 0.004 0% Assert (92 calls)
% 5.47/5.66 ; 1.659 32% Process new row (44,520 calls)
% 5.47/5.66 ; 2.212 43% Resolution (1,012 calls)
% 5.47/5.66 ; 0.026 1% Paramodulation (506 calls)
% 5.47/5.66 ; 0.000 0% Factoring (8 calls)
% 5.47/5.66 ; 0.017 0% Condensing (2,177 calls)
% 5.47/5.66 ; 0.176 3% Forward subsumption (2,177 calls)
% 5.47/5.66 ; 0.084 2% Backward subsumption (2,142 calls)
% 5.47/5.66 ; 0.038 1% Clause clause subsumption (8,097 calls)
% 5.47/5.66 ; 0.493 10% Forward simplification (43,964 calls)
% 5.47/5.66 ; 0.262 5% Backward simplification (23,199 calls)
% 5.47/5.66 ; 0.012 0% Ordering (6,211 calls)
% 5.47/5.66 ; 0.000 0% Sortal reasoning (32 calls)
% 5.47/5.66 ; 0.000 0% Purity testing (1 call)
% 5.47/5.66 ; 0.186 4% Other
% 5.47/5.66 ; 5.186 Total
% 5.47/5.66 ; 5.188 Real time
% 5.47/5.66 ;
% 5.47/5.67 ; Term-hash-array has 32,008 terms in all.
% 5.47/5.67 ; Feature-vector-row-index has 2,117 entries (2,117 at peak, 2,142 added, 25 deleted).
% 5.47/5.67 ; Feature-vector-row-index has 9,018 nodes (9,018 at peak, 9,142 added, 124 deleted).
% 5.47/5.67 ; Retrieved 10,536 possibly forward subsuming rows in 2,177 calls.
% 5.47/5.67 ; Retrieved 2,552 possibly backward subsumed rows in 2,142 calls.
% 5.47/5.67 ; Path-index has 31,604 entries (31,605 at peak, 32,060 added, 456 deleted).
% 5.47/5.67 ; Path-index has 7,989 nodes (7,990 at peak, 8,104 added, 115 deleted).
% 5.47/5.67 ; Trie-index has 31,604 entries (31,605 at peak, 32,060 added, 456 deleted).
% 5.47/5.67 ; Trie-index has 88,420 nodes (88,421 at peak, 89,481 added, 1,061 deleted).
% 5.47/5.67 ; Retrieved 30,314 generalization terms in 117,723 calls.
% 5.47/5.67 ; Retrieved 21,196 instance terms in 21,056 calls.
% 5.47/5.67 ; Retrieved 4,328,359 unifiable terms in 29,094 calls.
% 5.47/5.67 ;
% 5.47/5.67 ; The agenda of rows to process has 554 entries:
% 5.47/5.67 ; 6 with value 10 40 with value 15 228 with value 18
% 5.47/5.67 ; 16 with value 12 108 with value 16 4 with value 19
% 5.47/5.67 ; 1 with value 13 124 with value 17 1 with value 21
% 5.47/5.67 ; 26 with value 14
% 5.47/5.67 ; The agenda of rows to give has 22371 entries:
% 5.47/5.67 ; 1 with value (4 7) 4346 with value (4 21) 2 with value (4 33)
% 5.47/5.67 ; 1 with value (4 8) 3883 with value (4 22) 2 with value (4 34)
% 5.47/5.67 ; 2 with value (4 9) 1330 with value (4 23) 2 with value (4 37)
% 5.47/5.67 ; 2 with value (4 10) 247 with value (4 24) 1 with value (4 43)
% 5.47/5.67 ; 305 with value (4 13) 8 with value (4 25) 1 with value (4 44)
% 5.47/5.67 ; 430 with value (4 14) 12 with value (4 26) 1 with value (4 45)
% 5.47/5.67 ; 620 with value (4 15) 13 with value (4 27) 3 with value (4 46)
% 5.47/5.67 ; 873 with value (4 16) 10 with value (4 28) 1 with value (4 49)
% 5.47/5.67 ; 1171 with value (4 17) 20 with value (4 29) 1 with value (4 51)
% 5.47/5.67 ; 2122 with value (4 18) 16 with value (4 30) 1 with value (4 53)
% 5.47/5.67 ; 2671 with value (4 19) 4 with value (4 31) 1 with value (4 59)
% 5.47/5.67 ; 4260 with value (4 20) 7 with value (4 32) 1 with value (4 63)
% 5.47/5.67 Evaluation took:
% 5.47/5.67 5.191 seconds of real time
% 5.47/5.67 4.847182 seconds of user run time
% 5.47/5.67 0.343865 seconds of system run time
% 5.47/5.67 [Run times include 0.746 seconds GC run time.]
% 5.47/5.67 0 calls to %EVAL
% 5.47/5.67 0 page faults and
% 5.47/5.67 296,198,248 bytes consed.
% 5.47/5.67 :PROOF-FOUND
% 5.47/5.67 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T11:02:04
% 5.47/5.67 :PROOF-FOUND
% 5.47/5.67 *
%------------------------------------------------------------------------------