TSTP Solution File: SET849-1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET849-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 05:12:45 EDT 2022
% Result : Unsatisfiable 0.87s 1.03s
% Output : Refutation 0.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 4 RR)
% Number of literals : 9 ( 3 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 2 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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__UnionI_0) ).
cnf(cls_Zorn_Oequal__succ__Union_1,axiom,
( ~ c_in(c_Union(c_Zorn_OTFin(X,Y),tc_set(Y)),c_Zorn_OTFin(X,Y),tc_set(tc_set(Y)))
| c_Union(c_Zorn_OTFin(X,Y),tc_set(Y)) = c_Zorn_Osucc(X,c_Union(c_Zorn_OTFin(X,Y),tc_set(Y)),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Oequal__succ__Union_1) ).
cnf(cls_conjecture_1,negated_conjecture,
c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a) != c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(2238,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(2239,plain,
c_Union(c_Zorn_OTFin(X,Y),tc_set(Y)) = c_Zorn_Osucc(X,c_Union(c_Zorn_OTFin(X,Y),tc_set(Y)),Y),
inference('REWRITE',[status(thm)],[cls_Zorn_Oequal__succ__Union_1,2238]) ).
cnf(2240,plain,
$false,
inference('REWRITE',[status(thm)],[cls_conjecture_1,2239,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET849-1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jul 11 04:49:55 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T04:49:55
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-07-11T04:49:55
% 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.
% 0.81/1.03 ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 0.81/1.03
% 0.87/1.03 #||
% 0.87/1.03 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.87/1.03 % SZS output start Refutation
% See solution above
% 0.87/1.03 ||#
% 0.87/1.03
% 0.87/1.03 ; Summary of computation:
% 0.87/1.03 ; 5274 formulas have been input or derived (from 520 formulas).
% 0.87/1.03 ; 2240 (42%) were retained. Of these,
% 0.87/1.03 ; 62 ( 3%) were simplified or subsumed later,
% 0.87/1.03 ; 2178 (97%) are still being kept.
% 0.87/1.03 ;
% 0.87/1.03 ; Run time in seconds:
% 0.87/1.03 ; 0.145 26% Read assertion file (1 call)
% 0.87/1.03 ; 0.016 3% Assert (1,365 calls)
% 0.87/1.03 ; 0.141 25% Process new row (4,590 calls)
% 0.87/1.03 ; 0.093 17% Resolution (1,038 calls)
% 0.87/1.03 ; 0.005 1% Paramodulation (519 calls)
% 0.87/1.03 ; 0.000 0% Factoring (8 calls)
% 0.87/1.03 ; 0.015 3% Condensing (749 calls)
% 0.87/1.03 ; 0.011 2% Forward subsumption (749 calls)
% 0.87/1.03 ; 0.010 2% Backward subsumption (717 calls)
% 0.87/1.03 ; 0.001 0% Clause clause subsumption (264 calls)
% 0.87/1.03 ; 0.045 8% Forward simplification (3,824 calls)
% 0.87/1.03 ; 0.021 4% Backward simplification (2,239 calls)
% 0.87/1.03 ; 0.002 0% Ordering (744 calls)
% 0.87/1.03 ; 0.000 0% Sortal reasoning (32 calls)
% 0.87/1.03 ; 0.007 1% Purity testing (1 call)
% 0.87/1.03 ; 0.046 8% Other
% 0.87/1.03 ; 0.558 Total
% 0.87/1.03 ; 0.559 Real time
% 0.87/1.03 ;
% 0.87/1.03 ; Term-hash-array has 4,972 terms in all.
% 0.87/1.03 ; Feature-vector-row-index has 711 entries (712 at peak, 717 added, 6 deleted).
% 0.87/1.03 ; Feature-vector-row-index has 2,483 nodes (2,495 at peak, 2,523 added, 40 deleted).
% 0.87/1.03 ; Retrieved 799 possibly forward subsuming rows in 749 calls.
% 0.87/1.03 ; Retrieved 484 possibly backward subsumed rows in 717 calls.
% 0.87/1.03 ; Path-index has 4,846 entries (4,962 at peak, 4,998 added, 152 deleted).
% 0.87/1.03 ; Path-index has 18,877 nodes (19,363 at peak, 19,401 added, 524 deleted).
% 0.87/1.03 ; Trie-index has 4,846 entries (4,962 at peak, 4,998 added, 152 deleted).
% 0.87/1.03 ; Trie-index has 28,357 nodes (29,617 at peak, 29,781 added, 1,424 deleted).
% 0.87/1.03 ; Retrieved 1,927 generalization terms in 5,690 calls.
% 0.87/1.03 ; Retrieved 1,655 instance terms in 1,523 calls.
% 0.87/1.03 ; Retrieved 103,765 unifiable terms in 4,299 calls.
% 0.87/1.03 ;
% 0.87/1.03 ; The agenda of backward simplifiable rows to process has 37 entries:
% 0.87/1.03 ; 37 with value 0
% 0.87/1.03 ; The agenda of rows to process has 1 entry:
% 0.87/1.03 ; 1 with value 32
% 0.87/1.03 ; The agenda of input rows to give has 44 entries:
% 0.87/1.03 ; 1 with value 20 3 with value 35 2 with value 62
% 0.87/1.03 ; 2 with value 28 4 with value 38 1 with value 65
% 0.87/1.03 ; 6 with value 29 3 with value 40 1 with value 82
% 0.87/1.03 ; 2 with value 30 5 with value 41 2 with value 85
% 0.87/1.03 ; 2 with value 32 1 with value 42 1 with value 88
% 0.87/1.03 ; 2 with value 33 2 with value 46 1 with value 90
% 0.87/1.03 ; 1 with value 34 2 with value 56
% 0.87/1.03 ; The agenda of rows to give has 1615 entries:
% 0.87/1.03 ; 7 with value (4 6) 49 with value (4 23) 9 with value (4 39)
% 0.87/1.03 ; 12 with value (4 7) 32 with value (4 24) 14 with value (4 40)
% 0.87/1.03 ; 14 with value (4 8) 35 with value (4 25) 2 with value (4 41)
% 0.87/1.03 ; 30 with value (4 9) 34 with value (4 26) 1 with value (4 42)
% 0.87/1.03 ; 66 with value (4 10) 35 with value (4 27) 4 with value (4 43)
% 0.87/1.03 ; 24 with value (4 11) 33 with value (4 28) 3 with value (4 44)
% 0.87/1.03 ; 85 with value (4 12) 35 with value (4 29) 4 with value (4 45)
% 0.87/1.03 ; 63 with value (4 13) 24 with value (4 30) 1 with value (4 46)
% 0.87/1.03 ; 75 with value (4 14) 22 with value (4 31) 3 with value (4 47)
% 0.87/1.03 ; 123 with value (4 15) 32 with value (4 32) 3 with value (4 48)
% 0.87/1.03 ; 108 with value (4 16) 12 with value (4 33) 2 with value (4 49)
% 0.87/1.03 ; 129 with value (4 17) 15 with value (4 34) 1 with value (4 51)
% 0.87/1.03 ; 144 with value (4 18) 20 with value (4 35) 2 with value (4 52)
% 0.87/1.03 ; 80 with value (4 19) 4 with value (4 36) 1 with value (4 54)
% 0.87/1.03 ; 84 with value (4 20) 11 with value (4 37) 1 with value (4 57)
% 0.87/1.03 ; 51 with value (4 21) 4 with value (4 38) 1 with value (4 61)
% 0.87/1.03 ; 71 with value (4 22)
% 0.87/1.03 Evaluation took:
% 0.87/1.03 0.559 seconds of real time
% 0.87/1.03 0.513068 seconds of user run time
% 0.87/1.03 0.046631 seconds of system run time
% 0.87/1.03 [Run times include 0.043 seconds GC run time.]
% 0.87/1.03 0 calls to %EVAL
% 0.87/1.03 0 page faults and
% 0.87/1.03 41,127,960 bytes consed.
% 0.87/1.03 :PROOF-FOUND
% 0.87/1.03 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T04:49:55
% 0.87/1.03 :PROOF-FOUND
% 0.87/1.03 *
%------------------------------------------------------------------------------