TSTP Solution File: SET856-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET856-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n012.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 05:12:53 EDT 2022
% Result : Unsatisfiable 0.46s 0.67s
% Output : Refutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 2
% Syntax : Number of clauses : 3 ( 3 unt; 0 nHn; 3 RR)
% Number of literals : 3 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_3,negated_conjecture,
c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_conjecture_5,negated_conjecture,
~ c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(578,plain,
$false,
inference('REWRITE',[status(thm)],[cls_conjecture_5,cls_conjecture_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SET856-1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jul 9 23:46:28 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.46 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T23:46:28
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-07-09T23:46:28
% 0.43/0.60
% 0.43/0.61 WARNING:
% 0.43/0.61 |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.61 WARNING:
% 0.43/0.61 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.61 WARNING:
% 0.43/0.61 |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.61 WARNING:
% 0.43/0.61 |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.61 WARNING:
% 0.43/0.61 |c_List_Odistinct| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.43/0.61 WARNING:
% 0.43/0.61 |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.43/0.61 WARNING:
% 0.43/0.61 |class_HOL_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.43/0.61 WARNING:
% 0.43/0.61 |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.43/0.61 WARNING:
% 0.43/0.61 |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.43/0.61 WARNING:
% 0.43/0.61 |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.43/0.61 WARNING:
% 0.43/0.61 |class_Numeral_Onumber| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.43/0.61 WARNING:
% 0.43/0.61 |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.43/0.61 WARNING:
% 0.43/0.61 |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.43/0.61 WARNING:
% 0.43/0.61 |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.43/0.61 WARNING:
% 0.43/0.61 |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_Ring__and__Field_Oaxclass__0__neq__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_OrderedGroup_Ocancel__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_OrderedGroup_Omonoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_Ring__and__Field_Osemiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_OrderedGroup_Ocomm__monoid__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_OrderedGroup_Ocancel__ab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_OrderedGroup_Ocomm__monoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_Ring__and__Field_Ocomm__semiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_Ring__and__Field_Osemiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_Ring__and__Field_Ocomm__semiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_Ring__and__Field_Osemiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_Ring__and__Field_Osemiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_Ring__and__Field_Ocomm__semiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_Ring__and__Field_Ocomm__semiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_Ring__and__Field_Osemiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_Ring__and__Field_Ocomm__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_Ring__and__Field_Oring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_Ring__and__Field_Ocomm__semiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_Ring__and__Field_Ocomm__ring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_Power_Orecpower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.43/0.62 WARNING:
% 0.43/0.62 |class_Numeral_Onumber__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.67 ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 0.46/0.67
% 0.46/0.67 #||
% 0.46/0.67 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.67 % SZS output start Refutation
% See solution above
% 0.46/0.67 ||#
% 0.46/0.67
% 0.46/0.67 ; Summary of computation:
% 0.46/0.67 ; 1376 formulas have been input or derived (from 1 formulas).
% 0.46/0.67 ; 578 (42%) were retained. Of these,
% 0.46/0.67 ; 8 ( 1%) were simplified or subsumed later,
% 0.46/0.67 ; 570 (99%) are still being kept.
% 0.46/0.67 ;
% 0.46/0.67 ; Run time in seconds:
% 0.46/0.67 ; 0.125 60% Read assertion file (1 call)
% 0.46/0.67 ; 0.014 7% Assert (1,373 calls)
% 0.46/0.67 ; 0.025 12% Process new row (1,367 calls)
% 0.46/0.67 ; 0.003 1% Condensing (455 calls)
% 0.46/0.67 ; 0.002 1% Forward subsumption (455 calls)
% 0.46/0.67 ; 0.002 1% Backward subsumption (444 calls)
% 0.46/0.67 ; 0.001 0% Clause clause subsumption (77 calls)
% 0.46/0.67 ; 0.008 4% Forward simplification (601 calls)
% 0.46/0.67 ; 0.000 0% Backward simplification (576 calls)
% 0.46/0.67 ; 0.000 0% Ordering (10 calls)
% 0.46/0.67 ; 0.000 0% Sortal reasoning (32 calls)
% 0.46/0.67 ; 0.006 3% Purity testing (1 call)
% 0.46/0.67 ; 0.022 11% Other
% 0.46/0.67 ; 0.208 Total
% 0.46/0.67 ; 0.208 Real time
% 0.46/0.67 ;
% 0.46/0.67 ; Term-hash-array has 809 terms in all.
% 0.46/0.67 ; Feature-vector-row-index has 444 entries (444 at peak, 444 added, 0 deleted).
% 0.46/0.67 ; Feature-vector-row-index has 1,137 nodes (1,137 at peak, 1,137 added, 0 deleted).
% 0.46/0.67 ; Retrieved 429 possibly forward subsuming rows in 455 calls.
% 0.46/0.67 ; Retrieved 394 possibly backward subsumed rows in 444 calls.
% 0.46/0.67 ; Path-index has 823 entries (823 at peak, 830 added, 7 deleted).
% 0.46/0.67 ; Path-index has 3,530 nodes (3,530 at peak, 3,532 added, 2 deleted).
% 0.46/0.67 ; Trie-index has 823 entries (823 at peak, 830 added, 7 deleted).
% 0.46/0.67 ; Trie-index has 3,252 nodes (3,252 at peak, 3,267 added, 15 deleted).
% 0.46/0.67 ; Retrieved 51 generalization terms in 1,090 calls.
% 0.46/0.67 ; Retrieved 175 instance terms in 131 calls.
% 0.46/0.67 ;
% 0.46/0.67 ; The agenda of input rows to process has 1 entry:
% 0.46/0.67 ; 1 with value 0
% 0.46/0.67 ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.46/0.67 ; 1 with value 0
% 0.46/0.67 ; The agenda of input rows to give has 569 entries:
% 0.46/0.67 ; 47 with value 3 21 with value 19 3 with value 40
% 0.46/0.67 ; 6 with value 4 6 with value 20 5 with value 41
% 0.46/0.67 ; 11 with value 5 14 with value 21 1 with value 42
% 0.46/0.67 ; 215 with value 6 5 with value 22 2 with value 46
% 0.46/0.67 ; 11 with value 7 4 with value 23 1 with value 51
% 0.46/0.67 ; 10 with value 8 2 with value 24 1 with value 55
% 0.46/0.67 ; 18 with value 9 7 with value 26 2 with value 56
% 0.46/0.67 ; 8 with value 10 9 with value 27 1 with value 57
% 0.46/0.67 ; 11 with value 11 2 with value 28 1 with value 58
% 0.46/0.67 ; 24 with value 12 8 with value 29 2 with value 62
% 0.46/0.67 ; 16 with value 13 1 with value 30 1 with value 65
% 0.46/0.67 ; 13 with value 14 2 with value 32 1 with value 82
% 0.46/0.67 ; 17 with value 15 2 with value 33 2 with value 85
% 0.46/0.67 ; 20 with value 16 1 with value 34 1 with value 88
% 0.46/0.67 ; 17 with value 17 3 with value 35 1 with value 90
% 0.46/0.67 ; 9 with value 18 4 with value 38
% 0.46/0.67 Evaluation took:
% 0.46/0.67 0.208 seconds of real time
% 0.46/0.67 0.193409 seconds of user run time
% 0.46/0.67 0.015181 seconds of system run time
% 0.46/0.67 [Run times include 0.004 seconds GC run time.]
% 0.46/0.67 0 calls to %EVAL
% 0.46/0.67 0 page faults and
% 0.46/0.67 16,369,136 bytes consed.
% 0.46/0.67 :PROOF-FOUND
% 0.46/0.67 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T23:46:29
% 0.46/0.67 :PROOF-FOUND
% 0.46/0.67 *
%------------------------------------------------------------------------------