TSTP Solution File: SET844-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET844-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n016.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 05:12:41 EDT 2022
% Result : Unsatisfiable 0.92s 1.11s
% Output : Refutation 0.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of clauses : 8 ( 6 unt; 0 nHn; 6 RR)
% Number of literals : 12 ( 2 equ; 5 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 11 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Set_Osubset__refl_0,axiom,
c_lessequals(X,X,tc_set(Y)),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_Osubset__refl_0) ).
cnf(cls_Zorn_OTFin__UnionI_0,axiom,
( ~ c_lessequals(X,c_Zorn_OTFin(Y,Z),tc_set(tc_set(tc_set(Z))))
| c_in(c_Union(X,tc_set(Z)),c_Zorn_OTFin(Y,Z),tc_set(tc_set(Z))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OTFin__UnionI_0) ).
cnf(cls_Zorn_Oeq__succ__upper_0,axiom,
( ~ c_in(X,c_Zorn_OTFin(Y,Z),tc_set(tc_set(Z)))
| ~ c_in(U,c_Zorn_OTFin(Y,Z),tc_set(tc_set(Z)))
| X != c_Zorn_Osucc(Y,X,Z)
| c_lessequals(U,X,tc_set(tc_set(Z))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Oeq__succ__upper_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
v_m = c_Zorn_Osucc(v_S,v_m,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
~ c_lessequals(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(2288,plain,
c_in(c_Union(c_Zorn_OTFin(X,Y),tc_set(Y)),c_Zorn_OTFin(X,Y),tc_set(tc_set(Y))),
inference('HYPERRESOLVE',[status(thm)],[cls_Zorn_OTFin__UnionI_0,cls_Set_Osubset__refl_0]) ).
cnf(2376,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_Zorn_Oeq__succ__upper_0,cls_conjecture_0,cls_conjecture_1,cls_conjecture_2]),2288]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET844-1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.14 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jul 11 08:34:12 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.49 #<PACKAGE "SNARK-USER">
% 0.21/0.49 *
% 0.21/0.49 SNARK-TPTP-OPTIONS
% 0.21/0.49 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T08:34:12
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-07-11T08:34:12
% 0.48/0.66
% 0.51/0.68 WARNING:
% 0.51/0.68 |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.51/0.68 WARNING:
% 0.51/0.68 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.51/0.68 WARNING:
% 0.51/0.68 |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.51/0.68 WARNING:
% 0.51/0.68 |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.51/0.68 WARNING:
% 0.51/0.68 |c_List_Odistinct| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.68 WARNING:
% 0.51/0.68 |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.68 WARNING:
% 0.51/0.68 |class_HOL_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.68 WARNING:
% 0.51/0.68 |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.68 WARNING:
% 0.51/0.68 |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.68 WARNING:
% 0.51/0.68 |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.68 WARNING:
% 0.51/0.68 |class_Numeral_Onumber| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.68 WARNING:
% 0.51/0.68 |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.68 WARNING:
% 0.51/0.68 |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.68 WARNING:
% 0.51/0.68 |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.68 WARNING:
% 0.51/0.68 |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.68 WARNING:
% 0.51/0.68 |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.51/0.68 WARNING:
% 0.51/0.68 |class_Ring__and__Field_Oaxclass__0__neq__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.68 WARNING:
% 0.51/0.68 |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.68 WARNING:
% 0.51/0.68 |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.68 WARNING:
% 0.51/0.68 |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.68 WARNING:
% 0.51/0.68 |class_OrderedGroup_Ocancel__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.68 WARNING:
% 0.51/0.68 |class_OrderedGroup_Omonoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.68 WARNING:
% 0.51/0.68 |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.68 WARNING:
% 0.51/0.68 |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.68 WARNING:
% 0.51/0.68 |class_Ring__and__Field_Osemiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.68 WARNING:
% 0.51/0.68 |class_OrderedGroup_Ocomm__monoid__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.68 WARNING:
% 0.51/0.68 |class_OrderedGroup_Ocancel__ab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.68 WARNING:
% 0.51/0.68 |class_OrderedGroup_Ocomm__monoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.68 WARNING:
% 0.51/0.68 |class_Ring__and__Field_Ocomm__semiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.68 WARNING:
% 0.51/0.68 |class_Ring__and__Field_Osemiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.68 WARNING:
% 0.51/0.68 |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.68 WARNING:
% 0.51/0.68 |class_Ring__and__Field_Ocomm__semiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.68 WARNING:
% 0.51/0.68 |class_Ring__and__Field_Osemiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.68 WARNING:
% 0.51/0.68 |class_Ring__and__Field_Osemiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.68 WARNING:
% 0.51/0.68 |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.68 WARNING:
% 0.51/0.68 |class_Ring__and__Field_Ocomm__semiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.68 WARNING:
% 0.51/0.68 |class_Ring__and__Field_Ocomm__semiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.68 WARNING:
% 0.51/0.68 |class_Ring__and__Field_Osemiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.68 WARNING:
% 0.51/0.68 |class_Ring__and__Field_Ocomm__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.68 WARNING:
% 0.51/0.68 |class_Ring__and__Field_Oring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.68 WARNING:
% 0.51/0.68 |class_Ring__and__Field_Ocomm__semiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.68 WARNING:
% 0.51/0.68 |class_Ring__and__Field_Ocomm__ring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.68 WARNING:
% 0.51/0.68 |class_Power_Orecpower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.68 WARNING:
% 0.51/0.68 |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.68 WARNING:
% 0.51/0.68 |class_Numeral_Onumber__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.92/1.11 ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 0.92/1.11
% 0.92/1.11 #||
% 0.92/1.11 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.92/1.11 % SZS output start Refutation
% See solution above
% 0.92/1.11 ||#
% 0.92/1.11
% 0.92/1.11 ; Summary of computation:
% 0.92/1.11 ; 5439 formulas have been input or derived (from 545 formulas).
% 0.92/1.11 ; 2376 (44%) were retained. Of these,
% 0.92/1.11 ; 24 ( 1%) were simplified or subsumed later,
% 0.92/1.11 ; 2352 (99%) are still being kept.
% 0.92/1.11 ;
% 0.92/1.11 ; Run time in seconds excluding printing time:
% 0.92/1.11 ; 0.152 24% Read assertion file (1 call)
% 0.92/1.11 ; 0.013 2% Assert (1,367 calls)
% 0.92/1.11 ; 0.156 25% Process new row (4,777 calls)
% 0.92/1.11 ; 0.109 18% Resolution (1,088 calls)
% 0.92/1.11 ; 0.002 0% Paramodulation (544 calls)
% 0.92/1.11 ; 0.000 0% Factoring (9 calls)
% 0.92/1.11 ; 0.017 3% Condensing (825 calls)
% 0.92/1.11 ; 0.021 3% Forward subsumption (825 calls)
% 0.92/1.11 ; 0.034 5% Backward subsumption (792 calls)
% 0.92/1.11 ; 0.003 0% Clause clause subsumption (311 calls)
% 0.92/1.11 ; 0.034 5% Forward simplification (4,011 calls)
% 0.92/1.11 ; 0.022 4% Backward simplification (2,375 calls)
% 0.92/1.11 ; 0.006 1% Ordering (902 calls)
% 0.92/1.11 ; 0.000 0% Sortal reasoning (32 calls)
% 0.92/1.11 ; 0.007 1% Purity testing (1 call)
% 0.92/1.11 ; 0.045 7% Other
% 0.92/1.11 ; 0.621 Total
% 0.92/1.11 ; 0.623 Real time
% 0.92/1.12 ;
% 0.92/1.12 ; Term-hash-array has 5,283 terms in all.
% 0.92/1.12 ; Feature-vector-row-index has 787 entries (787 at peak, 792 added, 5 deleted).
% 0.92/1.12 ; Feature-vector-row-index has 2,993 nodes (2,993 at peak, 3,021 added, 28 deleted).
% 0.92/1.12 ; Retrieved 875 possibly forward subsuming rows in 825 calls.
% 0.92/1.12 ; Retrieved 503 possibly backward subsumed rows in 792 calls.
% 0.92/1.12 ; Path-index has 5,267 entries (5,267 at peak, 5,308 added, 41 deleted).
% 0.92/1.12 ; Path-index has 19,158 nodes (19,158 at peak, 19,190 added, 32 deleted).
% 0.92/1.12 ; Trie-index has 5,267 entries (5,267 at peak, 5,308 added, 41 deleted).
% 0.92/1.12 ; Trie-index has 31,582 nodes (31,582 at peak, 31,764 added, 182 deleted).
% 0.92/1.12 ; Retrieved 2,018 generalization terms in 6,059 calls.
% 0.92/1.12 ; Retrieved 1,724 instance terms in 1,584 calls.
% 0.92/1.12 ; Retrieved 116,520 unifiable terms in 4,520 calls.
% 0.92/1.12 ;
% 0.92/1.12 ; The agenda of rows to process has 2 entries:
% 0.92/1.12 ; 1 with value 29 1 with value 36
% 0.92/1.12 ; The agenda of input rows to give has 21 entries:
% 0.92/1.12 ; 3 with value 40 2 with value 56 2 with value 85
% 0.92/1.12 ; 5 with value 41 2 with value 62 1 with value 88
% 0.92/1.12 ; 1 with value 42 1 with value 65 1 with value 90
% 0.92/1.12 ; 2 with value 46 1 with value 82
% 0.92/1.12 ; The agenda of rows to give has 1786 entries:
% 0.92/1.12 ; 7 with value (4 6) 37 with value (4 25) 5 with value (4 44)
% 0.92/1.12 ; 12 with value (4 7) 38 with value (4 26) 7 with value (4 45)
% 0.92/1.12 ; 14 with value (4 8) 42 with value (4 27) 1 with value (4 46)
% 0.92/1.12 ; 30 with value (4 9) 36 with value (4 28) 3 with value (4 47)
% 0.92/1.12 ; 68 with value (4 10) 39 with value (4 29) 5 with value (4 48)
% 0.92/1.12 ; 27 with value (4 11) 27 with value (4 30) 6 with value (4 49)
% 0.92/1.12 ; 89 with value (4 12) 24 with value (4 31) 2 with value (4 50)
% 0.92/1.12 ; 76 with value (4 13) 39 with value (4 32) 1 with value (4 51)
% 0.92/1.12 ; 85 with value (4 14) 14 with value (4 33) 2 with value (4 52)
% 0.92/1.12 ; 126 with value (4 15) 17 with value (4 34) 2 with value (4 53)
% 0.92/1.12 ; 115 with value (4 16) 18 with value (4 35) 2 with value (4 54)
% 0.92/1.12 ; 132 with value (4 17) 7 with value (4 36) 2 with value (4 55)
% 0.92/1.12 ; 157 with value (4 18) 12 with value (4 37) 4 with value (4 56)
% 0.92/1.12 ; 87 with value (4 19) 15 with value (4 38) 1 with value (4 57)
% 0.92/1.12 ; 90 with value (4 20) 9 with value (4 39) 2 with value (4 60)
% 0.92/1.12 ; 54 with value (4 21) 14 with value (4 40) 1 with value (4 61)
% 0.92/1.12 ; 73 with value (4 22) 2 with value (4 41) 2 with value (4 66)
% 0.92/1.12 ; 48 with value (4 23) 7 with value (4 42) 3 with value (4 67)
% 0.92/1.12 ; 41 with value (4 24) 6 with value (4 43) 1 with value (4 77)
% 0.92/1.12 Evaluation took:
% 0.92/1.12 0.624 seconds of real time
% 0.92/1.12 0.581168 seconds of user run time
% 0.92/1.12 0.042616 seconds of system run time
% 0.92/1.12 [Run times include 0.052 seconds GC run time.]
% 0.92/1.12 0 calls to %EVAL
% 0.92/1.12 0 page faults and
% 0.92/1.12 43,666,528 bytes consed.
% 0.92/1.12 :PROOF-FOUND
% 0.92/1.12 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T08:34:13
% 0.92/1.12 :PROOF-FOUND
% 0.92/1.12 *
%------------------------------------------------------------------------------