TSTP Solution File: SET859-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET859-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 05:12:55 EDT 2022
% Result : Unsatisfiable 0.76s 0.96s
% Output : Refutation 0.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 4
% Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 4 RR)
% Number of literals : 7 ( 0 equ; 3 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-3 aty)
% Number of variables : 7 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Set_Osubset__trans_0,axiom,
( ~ c_lessequals(X,Y,tc_set(Z))
| ~ c_lessequals(U,X,tc_set(Z))
| c_lessequals(U,Y,tc_set(Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__trans_0) ).
cnf(cls_Zorn_OAbrial__axiom1_0,axiom,
c_lessequals(X,c_Zorn_Osucc(Y,X,Z),tc_set(tc_set(Z))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OAbrial__axiom1_0) ).
cnf(cls_conjecture_2,negated_conjecture,
c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_3,negated_conjecture,
~ c_lessequals(v_n,v_m,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(1927,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[cls_Set_Osubset__trans_0,cls_conjecture_2,cls_Zorn_OAbrial__axiom1_0,cls_conjecture_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SET859-1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n017.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 : Mon Jul 11 09:46:03 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46 *
% 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 *
% 0.18/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.47 (USE-FACTORING :POS)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.47 *
% 0.18/0.47 "."
% 0.18/0.47 *
% 0.18/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T09:46:03
% 0.18/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-07-11T09:46:03
% 0.46/0.64
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |c_List_Odistinct| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_HOL_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Numeral_Onumber| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Oaxclass__0__neq__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_OrderedGroup_Ocancel__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_OrderedGroup_Omonoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Osemiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_OrderedGroup_Ocomm__monoid__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_OrderedGroup_Ocancel__ab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_OrderedGroup_Ocomm__monoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Ocomm__semiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Osemiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Ocomm__semiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Osemiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Osemiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Ocomm__semiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Ocomm__semiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Osemiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Ocomm__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Oring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Ocomm__semiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Ocomm__ring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Power_Orecpower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.66 WARNING:
% 0.46/0.66 |class_Numeral_Onumber__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.76/0.96 ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 0.76/0.96
% 0.76/0.96 #||
% 0.76/0.96 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.76/0.96 % SZS output start Refutation
% See solution above
% 0.76/0.96 ||#
% 0.76/0.96
% 0.76/0.96 ; Summary of computation:
% 0.76/0.96 ; 4675 formulas have been input or derived (from 495 formulas).
% 0.76/0.96 ; 1927 (41%) were retained. Of these,
% 0.76/0.96 ; 13 ( 1%) were simplified or subsumed later,
% 0.76/0.96 ; 1914 (99%) are still being kept.
% 0.76/0.96 ;
% 0.76/0.96 ; Run time in seconds:
% 0.76/0.96 ; 0.158 32% Read assertion file (1 call)
% 0.76/0.96 ; 0.015 3% Assert (1,369 calls)
% 0.76/0.96 ; 0.124 25% Process new row (4,050 calls)
% 0.76/0.96 ; 0.065 13% Resolution (988 calls)
% 0.76/0.96 ; 0.004 1% Paramodulation (494 calls)
% 0.76/0.96 ; 0.000 0% Factoring (8 calls)
% 0.76/0.96 ; 0.007 1% Condensing (712 calls)
% 0.76/0.96 ; 0.012 2% Forward subsumption (712 calls)
% 0.76/0.96 ; 0.008 2% Backward subsumption (681 calls)
% 0.76/0.96 ; 0.003 1% Clause clause subsumption (256 calls)
% 0.76/0.96 ; 0.037 7% Forward simplification (3,284 calls)
% 0.76/0.96 ; 0.018 4% Backward simplification (1,926 calls)
% 0.76/0.96 ; 0.003 1% Ordering (721 calls)
% 0.76/0.96 ; 0.000 0% Sortal reasoning (32 calls)
% 0.76/0.96 ; 0.007 1% Purity testing (1 call)
% 0.76/0.96 ; 0.036 7% Other
% 0.76/0.96 ; 0.497 Total
% 0.76/0.96 ; 0.498 Real time
% 0.76/0.96 ;
% 0.76/0.96 ; Term-hash-array has 4,027 terms in all.
% 0.76/0.96 ; Feature-vector-row-index has 677 entries (677 at peak, 681 added, 4 deleted).
% 0.76/0.96 ; Feature-vector-row-index has 2,344 nodes (2,344 at peak, 2,359 added, 15 deleted).
% 0.76/0.96 ; Retrieved 736 possibly forward subsuming rows in 712 calls.
% 0.76/0.96 ; Retrieved 474 possibly backward subsumed rows in 681 calls.
% 0.76/0.96 ; Path-index has 4,035 entries (4,035 at peak, 4,053 added, 18 deleted).
% 0.76/0.96 ; Path-index has 15,320 nodes (15,320 at peak, 15,348 added, 28 deleted).
% 0.76/0.96 ; Trie-index has 4,035 entries (4,035 at peak, 4,053 added, 18 deleted).
% 0.76/0.96 ; Trie-index has 22,677 nodes (22,677 at peak, 22,751 added, 74 deleted).
% 0.76/0.96 ; Retrieved 1,520 generalization terms in 4,446 calls.
% 0.76/0.96 ; Retrieved 1,341 instance terms in 1,246 calls.
% 0.76/0.96 ; Retrieved 76,987 unifiable terms in 3,736 calls.
% 0.76/0.96 ;
% 0.76/0.96 ; The agenda of rows to process has 42 entries:
% 0.76/0.96 ; 6 with value 8 4 with value 16 1 with value 26
% 0.76/0.96 ; 10 with value 10 4 with value 17 1 with value 28
% 0.76/0.96 ; 13 with value 13 3 with value 25
% 0.76/0.96 ; The agenda of input rows to give has 73 entries:
% 0.76/0.96 ; 5 with value 22 1 with value 34 2 with value 56
% 0.76/0.96 ; 4 with value 23 3 with value 35 1 with value 57
% 0.76/0.96 ; 2 with value 24 4 with value 38 1 with value 58
% 0.76/0.96 ; 7 with value 26 3 with value 40 2 with value 62
% 0.76/0.96 ; 9 with value 27 5 with value 41 1 with value 65
% 0.76/0.96 ; 2 with value 28 1 with value 42 1 with value 82
% 0.76/0.96 ; 5 with value 29 2 with value 46 2 with value 85
% 0.76/0.96 ; 1 with value 30 1 with value 47 1 with value 88
% 0.76/0.96 ; 2 with value 32 1 with value 51 1 with value 90
% 0.76/0.96 ; 2 with value 33 1 with value 55
% 0.76/0.96 ; The agenda of rows to give has 1346 entries:
% 0.76/0.96 ; 7 with value (4 6) 44 with value (4 21) 3 with value (4 36)
% 0.76/0.96 ; 12 with value (4 7) 61 with value (4 22) 6 with value (4 37)
% 0.76/0.96 ; 14 with value (4 8) 41 with value (4 23) 4 with value (4 38)
% 0.76/0.96 ; 30 with value (4 9) 33 with value (4 24) 2 with value (4 39)
% 0.76/0.96 ; 65 with value (4 10) 31 with value (4 25) 6 with value (4 40)
% 0.76/0.96 ; 24 with value (4 11) 23 with value (4 26) 4 with value (4 43)
% 0.76/0.96 ; 85 with value (4 12) 32 with value (4 27) 3 with value (4 44)
% 0.76/0.96 ; 72 with value (4 13) 27 with value (4 28) 3 with value (4 45)
% 0.76/0.96 ; 74 with value (4 14) 23 with value (4 29) 1 with value (4 47)
% 0.76/0.96 ; 101 with value (4 15) 21 with value (4 30) 2 with value (4 49)
% 0.76/0.96 ; 97 with value (4 16) 16 with value (4 31) 1 with value (4 51)
% 0.76/0.96 ; 78 with value (4 17) 32 with value (4 32) 1 with value (4 54)
% 0.76/0.96 ; 88 with value (4 18) 9 with value (4 33) 1 with value (4 57)
% 0.76/0.96 ; 68 with value (4 19) 8 with value (4 34) 1 with value (4 61)
% 0.76/0.96 ; 79 with value (4 20) 13 with value (4 35)
% 0.76/0.96 Evaluation took:
% 0.76/0.96 0.499 seconds of real time
% 0.76/0.96 0.465258 seconds of user run time
% 0.76/0.96 0.033694 seconds of system run time
% 0.76/0.96 [Run times include 0.024 seconds GC run time.]
% 0.76/0.96 0 calls to %EVAL
% 0.76/0.96 0 page faults and
% 0.76/0.96 35,306,768 bytes consed.
% 0.76/0.96 :PROOF-FOUND
% 0.76/0.96 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T09:46:04
% 0.76/0.97 :PROOF-FOUND
% 0.76/0.97 *
%------------------------------------------------------------------------------