%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET095-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 05:07:16 EDT 2022
% Result : Unsatisfiable 1.37s 1.56s
% Output : Refutation 1.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 7 unt; 2 nHn; 9 RR)
% Number of literals : 16 ( 5 equ; 5 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(not_subclass_members1,axiom,
( member(not_subclass_element(X,Y),X)
| subclass(X,Y) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
cnf(unordered_pair_member,axiom,
( ~ member(X,unordered_pair(Y,Z))
| X = Y
| X = Z ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair_member) ).
cnf(singleton_set,axiom,
unordered_pair(X,X) = singleton(X),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',singleton_set) ).
cnf(prove_property_of_singletons2_1,negated_conjecture,
member(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_property_of_singletons2_1) ).
cnf(prove_property_of_singletons2_2,negated_conjecture,
~ subclass(singleton(x),y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_property_of_singletons2_2) ).
cnf(121,plain,
member(not_subclass_element(singleton(x),y),singleton(x)),
inference('HYPERRESOLVE',[status(thm)],[prove_property_of_singletons2_2,not_subclass_members1]) ).
cnf(122,plain,
~ member(not_subclass_element(singleton(x),y),y),
inference('UR-RESOLVE',[status(thm)],[not_subclass_members2,prove_property_of_singletons2_2]) ).
cnf(172,plain,
( ~ member(X,singleton(Y))
| X = Y ),
inference('PARAMODULATE',[status(thm)],[unordered_pair_member,singleton_set,theory(equality)]) ).
cnf(6796,plain,
not_subclass_element(singleton(x),y) = x,
inference('HYPERRESOLVE',[status(thm)],[172,121]) ).
cnf(6797,plain,
$false,
inference('REWRITE',[status(thm)],[122,prove_property_of_singletons2_1,6796,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET095-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jul 11 01:36:01 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T01:36:02
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-07-11T01:36:02
% 1.37/1.56
% 1.37/1.56
% 1.37/1.56 #||
% 1.37/1.56 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.37/1.56 % SZS output start Refutation
% See solution above
% 1.37/1.56 ||#
% 1.37/1.56
% 1.37/1.56 ; Summary of computation:
% 1.37/1.56 ; 13576 formulas have been input or derived (from 269 formulas).
% 1.37/1.56 ; 6797 (50%) were retained. Of these,
% 1.37/1.56 ; 450 ( 7%) were simplified or subsumed later,
% 1.37/1.56 ; 6347 (93%) are still being kept.
% 1.37/1.56 ;
% 1.37/1.56 ; Run time in seconds excluding printing time:
% 1.37/1.56 ; 0.017 2% Read assertion file (1 call)
% 1.37/1.56 ; 0.002 0% Assert (93 calls)
% 1.37/1.56 ; 0.382 35% Process new row (12,964 calls)
% 1.37/1.56 ; 0.345 31% Resolution (536 calls)
% 1.37/1.56 ; 0.006 1% Paramodulation (268 calls)
% 1.37/1.56 ; 0.000 0% Factoring (5 calls)
% 1.37/1.56 ; 0.008 1% Condensing (780 calls)
% 1.37/1.56 ; 0.035 3% Forward subsumption (780 calls)
% 1.37/1.56 ; 0.024 2% Backward subsumption (754 calls)
% 1.37/1.56 ; 0.003 0% Clause clause subsumption (1,596 calls)
% 1.37/1.56 ; 0.142 13% Forward simplification (12,962 calls)
% 1.37/1.56 ; 0.068 6% Backward simplification (6,785 calls)
% 1.37/1.56 ; 0.002 0% Ordering (1,954 calls)
% 1.37/1.56 ; 0.000 0% Sortal reasoning (32 calls)
% 1.37/1.56 ; 0.000 0% Purity testing (1 call)
% 1.37/1.56 ; 0.068 6% Other
% 1.37/1.56 ; 1.102 Total
% 1.37/1.56 ; 1.102 Real time
% 1.37/1.56 ;
% 1.37/1.56 ; Term-hash-array has 10,363 terms in all.
% 1.37/1.56 ; Feature-vector-row-index has 735 entries (742 at peak, 754 added, 19 deleted).
% 1.37/1.56 ; Feature-vector-row-index has 3,201 nodes (3,241 at peak, 3,316 added, 115 deleted).
% 1.37/1.56 ; Retrieved 1,931 possibly forward subsuming rows in 780 calls.
% 1.37/1.56 ; Retrieved 590 possibly backward subsumed rows in 754 calls.
% 1.37/1.56 ; Path-index has 9,760 entries (9,990 at peak, 10,413 added, 653 deleted).
% 1.37/1.56 ; Path-index has 5,044 nodes (5,053 at peak, 5,129 added, 85 deleted).
% 1.37/1.56 ; Trie-index has 9,760 entries (9,990 at peak, 10,413 added, 653 deleted).
% 1.37/1.56 ; Trie-index has 26,431 nodes (27,335 at peak, 28,320 added, 1,889 deleted).
% 1.37/1.56 ; Retrieved 8,902 generalization terms in 31,512 calls.
% 1.37/1.56 ; Retrieved 6,049 instance terms in 6,030 calls.
% 1.37/1.56 ; Retrieved 662,914 unifiable terms in 9,886 calls.
% 1.37/1.56 ;
% 1.37/1.56 ; The agenda of backward simplifiable rows to process has 150 entries:
% 1.37/1.56 ; 150 with value 0
% 1.37/1.56 ; The agenda of rows to process has 28 entries:
% 1.37/1.56 ; 7 with value 11 8 with value 13 1 with value 16
% 1.37/1.56 ; 12 with value 12
% 1.37/1.56 ; The agenda of rows to give has 6102 entries:
% 1.37/1.56 ; 122 with value (4 11) 13 with value (4 23) 2 with value (4 34)
% 1.37/1.56 ; 139 with value (4 12) 13 with value (4 24) 2 with value (4 37)
% 1.37/1.56 ; 225 with value (4 13) 4 with value (4 25) 1 with value (4 43)
% 1.37/1.56 ; 321 with value (4 14) 10 with value (4 26) 1 with value (4 44)
% 1.37/1.56 ; 377 with value (4 15) 5 with value (4 27) 1 with value (4 45)
% 1.37/1.56 ; 825 with value (4 16) 7 with value (4 28) 3 with value (4 46)
% 1.37/1.56 ; 950 with value (4 17) 12 with value (4 29) 1 with value (4 49)
% 1.37/1.56 ; 1409 with value (4 18) 3 with value (4 30) 1 with value (4 51)
% 1.37/1.56 ; 822 with value (4 19) 2 with value (4 31) 1 with value (4 53)
% 1.37/1.56 ; 550 with value (4 20) 1 with value (4 32) 1 with value (4 59)
% 1.37/1.56 ; 253 with value (4 21) 2 with value (4 33) 1 with value (4 63)
% 1.37/1.56 ; 22 with value (4 22)
% 1.37/1.56 Evaluation took:
% 1.37/1.56 1.103 seconds of real time
% 1.37/1.56 1.033301 seconds of user run time
% 1.37/1.56 0.070337 seconds of system run time
% 1.37/1.56 [Run times include 0.13 seconds GC run time.]
% 1.37/1.56 0 calls to %EVAL
% 1.37/1.56 0 page faults and
% 1.37/1.56 77,618,400 bytes consed.
% 1.37/1.56 :PROOF-FOUND
% 1.37/1.56 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T01:36:03
% 1.37/1.56 :PROOF-FOUND
% 1.37/1.56 *
%------------------------------------------------------------------------------