TSTP Solution File: SET850-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET850-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n004.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 05:12:46 EDT 2022
% Result : Unsatisfiable 0.77s 0.95s
% Output : Refutation 0.77s
% 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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OAbrial__axiom1_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_lessequals(v_x,v_y,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_lessequals(v_x,c_Zorn_Osucc(v_S,v_y,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(1857,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[cls_Set_Osubset__trans_0,cls_Zorn_OAbrial__axiom1_0,cls_conjecture_0,cls_conjecture_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET850-1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 10 15:48:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 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/sandbox2/benchmark/theBenchmark.p 2022-07-10T15:48:52
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-07-10T15:48:52
% 0.46/0.63
% 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.
% 0.47/0.66 WARNING:
% 0.47/0.66 |class_Ring__and__Field_Ocomm__ring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.66 WARNING:
% 0.47/0.66 |class_Power_Orecpower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.66 WARNING:
% 0.47/0.66 |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.66 WARNING:
% 0.47/0.66 |class_Numeral_Onumber__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.77/0.95 ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 0.77/0.95
% 0.77/0.95 #||
% 0.77/0.95 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.77/0.95 % SZS output start Refutation
% See solution above
% 0.77/0.95 ||#
% 0.77/0.95
% 0.77/0.95 ; Summary of computation:
% 0.77/0.95 ; 4556 formulas have been input or derived (from 492 formulas).
% 0.77/0.95 ; 1857 (41%) were retained. Of these,
% 0.77/0.95 ; 13 ( 1%) were simplified or subsumed later,
% 0.77/0.95 ; 1844 (99%) are still being kept.
% 0.77/0.95 ;
% 0.77/0.95 ; Run time in seconds:
% 0.77/0.95 ; 0.148 31% Read assertion file (1 call)
% 0.77/0.95 ; 0.018 4% Assert (1,361 calls)
% 0.77/0.95 ; 0.111 23% Process new row (3,925 calls)
% 0.77/0.95 ; 0.058 12% Resolution (982 calls)
% 0.77/0.95 ; 0.005 1% Paramodulation (491 calls)
% 0.77/0.95 ; 0.000 0% Factoring (8 calls)
% 0.77/0.95 ; 0.010 2% Condensing (693 calls)
% 0.77/0.95 ; 0.015 3% Forward subsumption (693 calls)
% 0.77/0.95 ; 0.013 3% Backward subsumption (662 calls)
% 0.77/0.95 ; 0.002 0% Clause clause subsumption (247 calls)
% 0.77/0.95 ; 0.041 9% Forward simplification (3,159 calls)
% 0.77/0.95 ; 0.019 4% Backward simplification (1,856 calls)
% 0.77/0.95 ; 0.002 0% Ordering (695 calls)
% 0.77/0.95 ; 0.001 0% Sortal reasoning (32 calls)
% 0.77/0.95 ; 0.007 1% Purity testing (1 call)
% 0.77/0.95 ; 0.030 6% Other
% 0.77/0.95 ; 0.480 Total
% 0.77/0.95 ; 0.481 Real time
% 0.77/0.95 ;
% 0.77/0.95 ; Term-hash-array has 3,886 terms in all.
% 0.77/0.95 ; Feature-vector-row-index has 658 entries (658 at peak, 662 added, 4 deleted).
% 0.77/0.95 ; Feature-vector-row-index has 2,103 nodes (2,103 at peak, 2,118 added, 15 deleted).
% 0.77/0.95 ; Retrieved 710 possibly forward subsuming rows in 693 calls.
% 0.77/0.95 ; Retrieved 471 possibly backward subsumed rows in 662 calls.
% 0.77/0.95 ; Path-index has 3,894 entries (3,894 at peak, 3,912 added, 18 deleted).
% 0.77/0.95 ; Path-index has 14,805 nodes (14,805 at peak, 14,833 added, 28 deleted).
% 0.77/0.95 ; Trie-index has 3,894 entries (3,894 at peak, 3,912 added, 18 deleted).
% 0.77/0.95 ; Trie-index has 21,443 nodes (21,443 at peak, 21,517 added, 74 deleted).
% 0.77/0.95 ; Retrieved 1,445 generalization terms in 4,277 calls.
% 0.77/0.95 ; Retrieved 1,293 instance terms in 1,195 calls.
% 0.77/0.95 ; Retrieved 73,777 unifiable terms in 3,631 calls.
% 0.77/0.95 ;
% 0.77/0.95 ; The agenda of rows to process has 37 entries:
% 0.77/0.95 ; 6 with value 8 3 with value 16 1 with value 25
% 0.77/0.95 ; 8 with value 10 4 with value 17 1 with value 26
% 0.77/0.95 ; 11 with value 13 2 with value 22 1 with value 28
% 0.77/0.95 ; The agenda of input rows to give has 68 entries:
% 0.77/0.95 ; 5 with value 22 2 with value 32 2 with value 46
% 0.77/0.95 ; 4 with value 23 2 with value 33 2 with value 56
% 0.77/0.95 ; 2 with value 24 1 with value 34 2 with value 62
% 0.77/0.95 ; 7 with value 26 3 with value 35 1 with value 65
% 0.77/0.95 ; 9 with value 27 4 with value 38 1 with value 82
% 0.77/0.95 ; 2 with value 28 3 with value 40 2 with value 85
% 0.77/0.95 ; 5 with value 29 5 with value 41 1 with value 88
% 0.77/0.95 ; 1 with value 30 1 with value 42 1 with value 90
% 0.77/0.95 ; The agenda of rows to give has 1284 entries:
% 0.77/0.95 ; 7 with value (4 6) 43 with value (4 21) 3 with value (4 36)
% 0.77/0.95 ; 12 with value (4 7) 61 with value (4 22) 4 with value (4 37)
% 0.77/0.95 ; 14 with value (4 8) 41 with value (4 23) 4 with value (4 38)
% 0.77/0.95 ; 30 with value (4 9) 28 with value (4 24) 2 with value (4 39)
% 0.77/0.95 ; 64 with value (4 10) 27 with value (4 25) 6 with value (4 40)
% 0.77/0.95 ; 24 with value (4 11) 19 with value (4 26) 4 with value (4 43)
% 0.77/0.95 ; 85 with value (4 12) 31 with value (4 27) 3 with value (4 44)
% 0.77/0.95 ; 67 with value (4 13) 23 with value (4 28) 3 with value (4 45)
% 0.77/0.95 ; 74 with value (4 14) 17 with value (4 29) 1 with value (4 47)
% 0.77/0.95 ; 99 with value (4 15) 19 with value (4 30) 2 with value (4 49)
% 0.77/0.95 ; 96 with value (4 16) 16 with value (4 31) 1 with value (4 51)
% 0.77/0.95 ; 79 with value (4 17) 32 with value (4 32) 1 with value (4 54)
% 0.77/0.95 ; 78 with value (4 18) 7 with value (4 33) 1 with value (4 57)
% 0.77/0.95 ; 67 with value (4 19) 4 with value (4 34) 1 with value (4 61)
% 0.77/0.95 ; 71 with value (4 20) 13 with value (4 35)
% 0.77/0.95 Evaluation took:
% 0.77/0.95 0.482 seconds of real time
% 0.77/0.95 0.45082 seconds of user run time
% 0.77/0.95 0.03067 seconds of system run time
% 0.77/0.95 [Run times include 0.02 seconds GC run time.]
% 0.77/0.95 0 calls to %EVAL
% 0.77/0.95 0 page faults and
% 0.77/0.95 33,994,728 bytes consed.
% 0.77/0.95 :PROOF-FOUND
% 0.77/0.95 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T15:48:53
% 0.77/0.95 :PROOF-FOUND
% 0.77/0.95 *
%------------------------------------------------------------------------------