TSTP Solution File: SET818-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET818-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 05:12:21 EDT 2022
% Result : Unsatisfiable 0.54s 0.72s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 2
% Syntax : Number of clauses : 3 ( 3 unt; 0 nHn; 2 RR)
% Number of literals : 3 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 3 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Set_OemptyE_0,axiom,
~ c_in(X,c_emptyset,Y),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OemptyE_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_x(X),X,tc_IntDef_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(565,plain,
$false,
inference('HYPERRESOLVE',[status(thm)],[cls_Set_OemptyE_0,cls_conjecture_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET818-1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n024.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 : Sun Jul 10 11:06:13 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 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/sandbox2/benchmark/theBenchmark.p 2022-07-10T11:06:13
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-07-10T11:06:13
% 0.45/0.62
% 0.46/0.64 ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 0.46/0.64 WARNING:
% 0.46/0.64 |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.64 WARNING:
% 0.46/0.64 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.64 WARNING:
% 0.46/0.64 |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.64 WARNING:
% 0.46/0.64 |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.64 WARNING:
% 0.46/0.64 |c_List_Odistinct| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.64 WARNING:
% 0.46/0.64 |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.64 WARNING:
% 0.46/0.64 |class_HOL_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.64 WARNING:
% 0.46/0.64 |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.64 WARNING:
% 0.46/0.64 |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.64 WARNING:
% 0.46/0.64 |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.64 WARNING:
% 0.46/0.64 |class_Numeral_Onumber| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.64 WARNING:
% 0.46/0.64 |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.64 WARNING:
% 0.46/0.64 |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.64 WARNING:
% 0.46/0.64 |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.64 WARNING:
% 0.46/0.64 |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.64 WARNING:
% 0.46/0.64 |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.64 WARNING:
% 0.46/0.64 |class_Ring__and__Field_Oaxclass__0__neq__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.64 WARNING:
% 0.46/0.64 |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.64 WARNING:
% 0.46/0.64 |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.64 WARNING:
% 0.46/0.64 |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.64 WARNING:
% 0.46/0.64 |class_OrderedGroup_Ocancel__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.64 WARNING:
% 0.46/0.64 |class_OrderedGroup_Omonoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.64 WARNING:
% 0.46/0.64 |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.64 WARNING:
% 0.46/0.64 |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.64 WARNING:
% 0.46/0.64 |class_Ring__and__Field_Osemiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.64 WARNING:
% 0.46/0.64 |class_OrderedGroup_Ocomm__monoid__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.64 WARNING:
% 0.46/0.64 |class_OrderedGroup_Ocancel__ab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.64 WARNING:
% 0.46/0.64 |class_OrderedGroup_Ocomm__monoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.64 WARNING:
% 0.46/0.64 |class_Ring__and__Field_Ocomm__semiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.64 WARNING:
% 0.46/0.64 |class_Ring__and__Field_Osemiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.64 WARNING:
% 0.46/0.64 |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.64 WARNING:
% 0.46/0.64 |class_Ring__and__Field_Ocomm__semiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.64 WARNING:
% 0.46/0.64 |class_Ring__and__Field_Osemiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.64 WARNING:
% 0.46/0.64 |class_Ring__and__Field_Osemiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.64 WARNING:
% 0.46/0.64 |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.64 WARNING:
% 0.46/0.64 |class_Ring__and__Field_Ocomm__semiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.64 WARNING:
% 0.46/0.64 |class_Ring__and__Field_Ocomm__semiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.64 WARNING:
% 0.46/0.64 |class_Ring__and__Field_Osemiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.65 WARNING:
% 0.46/0.65 |class_Ring__and__Field_Ocomm__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.65 WARNING:
% 0.46/0.65 |class_Ring__and__Field_Oring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.65 WARNING:
% 0.46/0.65 |class_Ring__and__Field_Ocomm__semiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.65 WARNING:
% 0.46/0.65 |class_Ring__and__Field_Ocomm__ring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.65 WARNING:
% 0.46/0.65 |class_Power_Orecpower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.65 WARNING:
% 0.46/0.65 |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.65 WARNING:
% 0.46/0.65 |class_Numeral_Onumber__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.72 ; Recognized possible left inverse assertion (|c_in| (|v_x| ?X) ?X |tc_IntDef_Oint|).
% 0.54/0.72
% 0.54/0.72 #||
% 0.54/0.72 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.54/0.72 % SZS output start Refutation
% See solution above
% 0.54/0.72 ||#
% 0.54/0.72
% 0.54/0.72 ; Summary of computation:
% 0.54/0.72 ; 1979 formulas have been input or derived (from 292 formulas).
% 0.54/0.72 ; 565 (29%) were retained. Of these,
% 0.54/0.72 ; 7 ( 1%) were simplified or subsumed later,
% 0.54/0.72 ; 558 (99%) are still being kept.
% 0.54/0.72 ;
% 0.54/0.72 ; Run time in seconds:
% 0.54/0.72 ; 0.147 56% Read assertion file (1 call)
% 0.54/0.72 ; 0.017 7% Assert (1,359 calls)
% 0.54/0.72 ; 0.023 9% Process new row (1,849 calls)
% 0.54/0.72 ; 0.005 2% Resolution (582 calls)
% 0.54/0.72 ; 0.000 0% Paramodulation (291 calls)
% 0.54/0.72 ; 0.008 3% Condensing (447 calls)
% 0.54/0.72 ; 0.004 2% Forward subsumption (447 calls)
% 0.54/0.72 ; 0.004 2% Backward subsumption (436 calls)
% 0.54/0.72 ; 0.000 0% Clause clause subsumption (74 calls)
% 0.54/0.72 ; 0.013 5% Forward simplification (1,083 calls)
% 0.54/0.72 ; 0.001 0% Backward simplification (564 calls)
% 0.54/0.72 ; 0.000 0% Ordering (30 calls)
% 0.54/0.72 ; 0.001 0% Sortal reasoning (32 calls)
% 0.54/0.72 ; 0.007 3% Purity testing (1 call)
% 0.54/0.72 ; 0.031 12% Other
% 0.54/0.72 ; 0.261 Total
% 0.54/0.72 ; 0.262 Real time
% 0.54/0.72 ;
% 0.54/0.72 ; Term-hash-array has 774 terms in all.
% 0.54/0.72 ; Feature-vector-row-index has 436 entries (436 at peak, 436 added, 0 deleted).
% 0.54/0.72 ; Feature-vector-row-index has 1,067 nodes (1,067 at peak, 1,067 added, 0 deleted).
% 0.54/0.72 ; Retrieved 421 possibly forward subsuming rows in 447 calls.
% 0.54/0.72 ; Retrieved 392 possibly backward subsumed rows in 436 calls.
% 0.54/0.72 ; Path-index has 784 entries (784 at peak, 791 added, 7 deleted).
% 0.54/0.72 ; Path-index has 3,373 nodes (3,373 at peak, 3,375 added, 2 deleted).
% 0.54/0.72 ; Trie-index has 784 entries (784 at peak, 791 added, 7 deleted).
% 0.54/0.72 ; Trie-index has 3,098 nodes (3,098 at peak, 3,113 added, 15 deleted).
% 0.54/0.72 ; Retrieved 516 generalization terms in 1,545 calls.
% 0.54/0.72 ; Retrieved 171 instance terms in 127 calls.
% 0.54/0.72 ; Retrieved 2,751 unifiable terms in 1,286 calls.
% 0.54/0.72 ;
% 0.54/0.72 ; The agenda of input rows to give has 266 entries:
% 0.54/0.72 ; 1 with value 7 6 with value 20 3 with value 35
% 0.54/0.72 ; 10 with value 8 13 with value 21 4 with value 38
% 0.54/0.72 ; 17 with value 9 5 with value 22 3 with value 40
% 0.54/0.72 ; 8 with value 10 4 with value 23 5 with value 41
% 0.54/0.72 ; 10 with value 11 2 with value 24 1 with value 42
% 0.54/0.72 ; 22 with value 12 7 with value 26 2 with value 46
% 0.54/0.72 ; 15 with value 13 9 with value 27 2 with value 56
% 0.54/0.72 ; 13 with value 14 2 with value 28 2 with value 62
% 0.54/0.72 ; 16 with value 15 5 with value 29 1 with value 65
% 0.54/0.72 ; 20 with value 16 1 with value 30 1 with value 82
% 0.54/0.72 ; 17 with value 17 2 with value 32 2 with value 85
% 0.54/0.72 ; 9 with value 18 2 with value 33 1 with value 88
% 0.54/0.72 ; 21 with value 19 1 with value 34 1 with value 90
% 0.54/0.72 Evaluation took:
% 0.54/0.72 0.262 seconds of real time
% 0.54/0.72 0.241226 seconds of user run time
% 0.54/0.72 0.021143 seconds of system run time
% 0.54/0.72 [Run times include 0.005 seconds GC run time.]
% 0.54/0.72 0 calls to %EVAL
% 0.54/0.72 0 page faults and
% 0.54/0.72 16,509,496 bytes consed.
% 0.54/0.72 :PROOF-FOUND
% 0.54/0.72 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T11:06:14
% 0.54/0.72 :PROOF-FOUND
% 0.54/0.72 *
%------------------------------------------------------------------------------