TSTP Solution File: SET855-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET855-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n009.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 05:12:52 EDT 2022
% Result : Unsatisfiable 0.69s 0.88s
% Output : Refutation 0.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 7 ( 5 unt; 1 nHn; 7 RR)
% Number of literals : 10 ( 2 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Set_OpsubsetE_0,axiom,
( ~ c_less(X,Y,tc_set(Z))
| ~ c_lessequals(Y,X,tc_set(Z)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_OpsubsetE_0) ).
cnf(cls_Set_OpsubsetI_0,axiom,
( ~ c_lessequals(X,Y,tc_set(Z))
| c_less(X,Y,tc_set(Z))
| X = Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_OpsubsetI_0) ).
cnf(cls_conjecture_2,negated_conjecture,
c_lessequals(v_n,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_3,negated_conjecture,
c_lessequals(c_Union(v_Y,tc_set(t_a)),v_n,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_conjecture_4,negated_conjecture,
v_n != c_Union(v_Y,tc_set(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(818,plain,
~ c_less(v_n,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))),
inference('UR-RESOLVE',[status(thm)],[cls_Set_OpsubsetE_0,cls_conjecture_3]) ).
cnf(1442,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_Set_OpsubsetI_0,cls_conjecture_2,cls_conjecture_4]),818]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET855-1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 10 14:07:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T14:07:07
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-07-10T14:07:07
% 0.47/0.65
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |c_List_Odistinct| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_HOL_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_Numeral_Onumber| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_Ring__and__Field_Oaxclass__0__neq__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_OrderedGroup_Ocancel__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_OrderedGroup_Omonoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_Ring__and__Field_Osemiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_OrderedGroup_Ocomm__monoid__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_OrderedGroup_Ocancel__ab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_OrderedGroup_Ocomm__monoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_Ring__and__Field_Ocomm__semiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_Ring__and__Field_Osemiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_Ring__and__Field_Ocomm__semiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_Ring__and__Field_Osemiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_Ring__and__Field_Osemiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_Ring__and__Field_Ocomm__semiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_Ring__and__Field_Ocomm__semiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_Ring__and__Field_Osemiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_Ring__and__Field_Ocomm__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_Ring__and__Field_Oring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_Ring__and__Field_Ocomm__semiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_Ring__and__Field_Ocomm__ring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_Power_Orecpower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |class_Numeral_Onumber__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.88 ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 0.69/0.88
% 0.69/0.88 #||
% 0.69/0.88 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.69/0.88 % SZS output start Refutation
% See solution above
% 0.69/0.88 ||#
% 0.69/0.88
% 0.69/0.88 ; Summary of computation:
% 0.69/0.88 ; 3780 formulas have been input or derived (from 453 formulas).
% 0.69/0.88 ; 1442 (38%) were retained. Of these,
% 0.69/0.88 ; 9 ( 1%) were simplified or subsumed later,
% 0.69/0.88 ; 1433 (99%) are still being kept.
% 0.69/0.88 ;
% 0.69/0.88 ; Run time in seconds excluding printing time:
% 0.69/0.88 ; 0.155 38% Read assertion file (1 call)
% 0.69/0.88 ; 0.015 4% Assert (1,373 calls)
% 0.69/0.88 ; 0.084 21% Process new row (3,222 calls)
% 0.69/0.88 ; 0.037 9% Resolution (904 calls)
% 0.69/0.88 ; 0.002 0% Paramodulation (452 calls)
% 0.69/0.88 ; 0.000 0% Factoring (7 calls)
% 0.69/0.88 ; 0.001 0% Condensing (541 calls)
% 0.69/0.88 ; 0.008 2% Forward subsumption (541 calls)
% 0.69/0.88 ; 0.014 3% Backward subsumption (517 calls)
% 0.69/0.88 ; 0.001 0% Clause clause subsumption (130 calls)
% 0.69/0.88 ; 0.024 6% Forward simplification (2,456 calls)
% 0.69/0.88 ; 0.022 5% Backward simplification (1,441 calls)
% 0.69/0.88 ; 0.000 0% Ordering (286 calls)
% 0.69/0.88 ; 0.000 0% Sortal reasoning (32 calls)
% 0.69/0.88 ; 0.007 2% Purity testing (1 call)
% 0.69/0.88 ; 0.035 9% Other
% 0.69/0.88 ; 0.405 Total
% 0.69/0.88 ; 0.406 Real time
% 0.69/0.88 ;
% 0.69/0.88 ; Term-hash-array has 2,885 terms in all.
% 0.69/0.88 ; Feature-vector-row-index has 517 entries (517 at peak, 517 added, 0 deleted).
% 0.69/0.88 ; Feature-vector-row-index has 1,544 nodes (1,544 at peak, 1,544 added, 0 deleted).
% 0.69/0.88 ; Retrieved 502 possibly forward subsuming rows in 541 calls.
% 0.69/0.88 ; Retrieved 407 possibly backward subsumed rows in 517 calls.
% 0.69/0.88 ; Path-index has 2,897 entries (2,897 at peak, 2,906 added, 9 deleted).
% 0.69/0.88 ; Path-index has 10,914 nodes (10,914 at peak, 10,917 added, 3 deleted).
% 0.69/0.88 ; Trie-index has 2,897 entries (2,897 at peak, 2,906 added, 9 deleted).
% 0.69/0.88 ; Trie-index has 13,820 nodes (13,820 at peak, 13,837 added, 17 deleted).
% 0.69/0.88 ; Retrieved 1,151 generalization terms in 3,239 calls.
% 0.69/0.88 ; Retrieved 1,016 instance terms in 923 calls.
% 0.69/0.88 ; Retrieved 43,050 unifiable terms in 2,739 calls.
% 0.69/0.88 ;
% 0.69/0.88 ; The agenda of rows to process has 6 entries:
% 0.69/0.88 ; 1 with value 13 3 with value 21 2 with value 22
% 0.69/0.88 ; The agenda of input rows to give has 119 entries:
% 0.69/0.88 ; 2 with value 18 1 with value 30 1 with value 51
% 0.69/0.88 ; 21 with value 19 2 with value 32 1 with value 55
% 0.69/0.88 ; 6 with value 20 2 with value 33 2 with value 56
% 0.69/0.88 ; 14 with value 21 1 with value 34 1 with value 57
% 0.69/0.88 ; 5 with value 22 3 with value 35 1 with value 58
% 0.69/0.88 ; 4 with value 23 4 with value 38 2 with value 62
% 0.69/0.88 ; 2 with value 24 3 with value 40 1 with value 65
% 0.69/0.88 ; 7 with value 26 5 with value 41 1 with value 82
% 0.69/0.88 ; 9 with value 27 1 with value 42 2 with value 85
% 0.69/0.88 ; 2 with value 28 1 with value 45 1 with value 88
% 0.69/0.88 ; 8 with value 29 2 with value 46 1 with value 90
% 0.69/0.88 ; The agenda of rows to give has 861 entries:
% 0.69/0.88 ; 7 with value (4 6) 64 with value (4 16) 1 with value (4 26)
% 0.69/0.88 ; 12 with value (4 7) 85 with value (4 17) 2 with value (4 27)
% 0.69/0.88 ; 14 with value (4 8) 68 with value (4 18) 1 with value (4 28)
% 0.69/0.88 ; 27 with value (4 9) 58 with value (4 19) 8 with value (4 29)
% 0.69/0.88 ; 58 with value (4 10) 62 with value (4 20) 5 with value (4 31)
% 0.69/0.88 ; 21 with value (4 11) 26 with value (4 21) 2 with value (4 35)
% 0.69/0.88 ; 75 with value (4 12) 19 with value (4 22) 1 with value (4 40)
% 0.69/0.88 ; 60 with value (4 13) 16 with value (4 23) 1 with value (4 43)
% 0.69/0.88 ; 72 with value (4 14) 4 with value (4 24) 2 with value (4 45)
% 0.69/0.88 ; 87 with value (4 15) 3 with value (4 25)
% 0.69/0.88 Evaluation took:
% 0.69/0.88 0.407 seconds of real time
% 0.69/0.88 0.382666 seconds of user run time
% 0.69/0.88 0.023928 seconds of system run time
% 0.69/0.88 [Run times include 0.021 seconds GC run time.]
% 0.69/0.88 0 calls to %EVAL
% 0.69/0.88 0 page faults and
% 0.69/0.88 27,111,832 bytes consed.
% 0.69/0.88 :PROOF-FOUND
% 0.69/0.88 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T14:07:07
% 0.69/0.89 :PROOF-FOUND
% 0.69/0.89 *
%------------------------------------------------------------------------------