TSTP Solution File: SET827-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET827-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 05:12:28 EDT 2022
% Result : Unsatisfiable 0.63s 0.82s
% Output : Refutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 4
% Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 5 RR)
% Number of literals : 7 ( 0 equ; 3 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Set_OsubsetD_0,axiom,
( ~ c_in(X,Y,Z)
| ~ c_lessequals(Y,U,tc_set(Z))
| c_in(X,U,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetD_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_x,v_V,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_2,negated_conjecture,
c_lessequals(v_V,v_Z,tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_3,negated_conjecture,
~ c_in(v_x,v_Z,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(1287,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[cls_Set_OsubsetD_0,cls_conjecture_0,cls_conjecture_2,cls_conjecture_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET827-1 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n018.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 19:15:43 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T19:15:43
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-07-10T19:15:43
% 0.47/0.63
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |c_List_Odistinct| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_HOL_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Numeral_Onumber| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Oaxclass__0__neq__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_OrderedGroup_Ocancel__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_OrderedGroup_Omonoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Osemiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_OrderedGroup_Ocomm__monoid__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_OrderedGroup_Ocancel__ab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_OrderedGroup_Ocomm__monoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Ocomm__semiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Osemiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Ocomm__semiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Osemiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Osemiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Ocomm__semiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Ocomm__semiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Osemiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Ocomm__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Oring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Ocomm__semiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Ocomm__ring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Power_Orecpower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 WARNING:
% 0.47/0.65 |class_Numeral_Onumber__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.63/0.82 ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 0.63/0.82
% 0.63/0.82 #||
% 0.63/0.82 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.63/0.82 % SZS output start Refutation
% See solution above
% 0.63/0.82 ||#
% 0.63/0.82
% 0.63/0.82 ; Summary of computation:
% 0.63/0.82 ; 3559 formulas have been input or derived (from 443 formulas).
% 0.63/0.82 ; 1287 (36%) were retained. Of these,
% 0.63/0.82 ; 7 ( 1%) were simplified or subsumed later,
% 0.63/0.82 ; 1280 (99%) are still being kept.
% 0.63/0.82 ;
% 0.63/0.82 ; Run time in seconds:
% 0.63/0.82 ; 0.150 42% Read assertion file (1 call)
% 0.63/0.82 ; 0.019 5% Assert (1,361 calls)
% 0.63/0.82 ; 0.065 18% Process new row (2,957 calls)
% 0.63/0.82 ; 0.029 8% Resolution (884 calls)
% 0.63/0.82 ; 0.003 1% Paramodulation (442 calls)
% 0.63/0.82 ; 0.000 0% Factoring (6 calls)
% 0.63/0.82 ; 0.007 2% Condensing (480 calls)
% 0.63/0.82 ; 0.009 3% Forward subsumption (480 calls)
% 0.63/0.82 ; 0.004 1% Backward subsumption (459 calls)
% 0.63/0.82 ; 0.000 0% Clause clause subsumption (96 calls)
% 0.63/0.82 ; 0.017 5% Forward simplification (2,191 calls)
% 0.63/0.82 ; 0.008 2% Backward simplification (1,286 calls)
% 0.63/0.82 ; 0.000 0% Ordering (212 calls)
% 0.63/0.82 ; 0.000 0% Sortal reasoning (32 calls)
% 0.63/0.82 ; 0.007 2% Purity testing (1 call)
% 0.63/0.82 ; 0.039 11% Other
% 0.63/0.82 ; 0.357 Total
% 0.63/0.82 ; 0.359 Real time
% 0.63/0.82 ;
% 0.63/0.82 ; Term-hash-array has 2,493 terms in all.
% 0.63/0.82 ; Feature-vector-row-index has 459 entries (459 at peak, 459 added, 0 deleted).
% 0.63/0.82 ; Feature-vector-row-index has 1,178 nodes (1,178 at peak, 1,178 added, 0 deleted).
% 0.63/0.82 ; Retrieved 442 possibly forward subsuming rows in 480 calls.
% 0.63/0.82 ; Retrieved 395 possibly backward subsumed rows in 459 calls.
% 0.63/0.82 ; Path-index has 2,508 entries (2,508 at peak, 2,515 added, 7 deleted).
% 0.63/0.82 ; Path-index has 9,203 nodes (9,203 at peak, 9,205 added, 2 deleted).
% 0.63/0.82 ; Trie-index has 2,508 entries (2,508 at peak, 2,515 added, 7 deleted).
% 0.63/0.82 ; Trie-index has 11,608 nodes (11,608 at peak, 11,623 added, 15 deleted).
% 0.63/0.82 ; Retrieved 977 generalization terms in 2,873 calls.
% 0.63/0.83 ; Retrieved 919 instance terms in 826 calls.
% 0.63/0.83 ; Retrieved 37,156 unifiable terms in 2,601 calls.
% 0.63/0.83 ;
% 0.63/0.83 ; The agenda of rows to process has 87 entries:
% 0.63/0.83 ; 13 with value 6 1 with value 14 8 with value 23
% 0.63/0.83 ; 8 with value 8 3 with value 15 1 with value 24
% 0.63/0.83 ; 16 with value 10 1 with value 16 1 with value 25
% 0.63/0.83 ; 19 with value 11 1 with value 17 1 with value 27
% 0.63/0.83 ; 2 with value 12 1 with value 20 1 with value 28
% 0.63/0.83 ; 5 with value 13 4 with value 22 1 with value 31
% 0.63/0.83 ; The agenda of input rows to give has 117 entries:
% 0.63/0.83 ; 9 with value 18 5 with value 29 1 with value 42
% 0.63/0.83 ; 21 with value 19 1 with value 30 2 with value 46
% 0.63/0.83 ; 6 with value 20 2 with value 32 2 with value 56
% 0.63/0.83 ; 13 with value 21 2 with value 33 2 with value 62
% 0.63/0.83 ; 5 with value 22 1 with value 34 1 with value 65
% 0.63/0.83 ; 4 with value 23 3 with value 35 1 with value 82
% 0.63/0.83 ; 2 with value 24 4 with value 38 2 with value 85
% 0.63/0.83 ; 7 with value 26 3 with value 40 1 with value 88
% 0.63/0.83 ; 9 with value 27 5 with value 41 1 with value 90
% 0.63/0.83 ; 2 with value 28
% 0.63/0.83 ; The agenda of rows to give has 720 entries:
% 0.63/0.83 ; 7 with value (4 6) 50 with value (4 13) 53 with value (4 19)
% 0.63/0.83 ; 12 with value (4 7) 57 with value (4 14) 56 with value (4 20)
% 0.63/0.83 ; 14 with value (4 8) 66 with value (4 15) 24 with value (4 21)
% 0.63/0.83 ; 25 with value (4 9) 59 with value (4 16) 14 with value (4 22)
% 0.63/0.83 ; 62 with value (4 10) 67 with value (4 17) 1 with value (4 23)
% 0.63/0.83 ; 19 with value (4 11) 56 with value (4 18) 1 with value (4 26)
% 0.63/0.83 ; 77 with value (4 12)
% 0.63/0.83 Evaluation took:
% 0.63/0.83 0.359 seconds of real time
% 0.63/0.83 0.331772 seconds of user run time
% 0.63/0.83 0.026885 seconds of system run time
% 0.63/0.83 [Run times include 0.005 seconds GC run time.]
% 0.63/0.83 0 calls to %EVAL
% 0.63/0.83 0 page faults and
% 0.63/0.83 24,450,000 bytes consed.
% 0.63/0.83 :PROOF-FOUND
% 0.63/0.83 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T19:15:43
% 0.63/0.83 :PROOF-FOUND
% 0.63/0.83 *
%------------------------------------------------------------------------------