TSTP Solution File: SET841-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET841-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n015.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 05:12:38 EDT 2022
% Result : Unsatisfiable 0.84s 1.06s
% Output : Refutation 0.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of clauses : 9 ( 8 unt; 1 nHn; 8 RR)
% Number of literals : 13 ( 3 equ; 4 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 6 ( 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__subsetD_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)))
| ~ c_lessequals(X,U,tc_set(tc_set(Z)))
| c_lessequals(c_Zorn_Osucc(Y,X,Z),U,tc_set(tc_set(Z)))
| X = U ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__subsetD_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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_3,negated_conjecture,
c_lessequals(v_x,v_m,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_conjecture_4,negated_conjecture,
~ c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_m,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(2393,plain,
v_x = v_m,
inference('UR-RESOLVE',[status(thm)],[cls_Zorn_OTFin__subsetD_0,cls_conjecture_2,cls_conjecture_0,cls_conjecture_3,cls_conjecture_4]) ).
cnf(2394,plain,
$false,
inference('REWRITE',[status(thm)],[cls_conjecture_4,cls_Set_Osubset__refl_0,cls_conjecture_1,2393,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SET841-1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n015.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 16:05:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T16:05:23
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-10T16:05:23
% 0.45/0.63
% 0.46/0.65 WARNING:
% 0.46/0.65 |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.65 WARNING:
% 0.46/0.65 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.65 WARNING:
% 0.46/0.65 |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.65 WARNING:
% 0.46/0.65 |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.65 WARNING:
% 0.46/0.65 |c_List_Odistinct| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.65 WARNING:
% 0.46/0.65 |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.65 WARNING:
% 0.46/0.65 |class_HOL_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.65 WARNING:
% 0.46/0.65 |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.65 WARNING:
% 0.46/0.65 |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.65 WARNING:
% 0.46/0.65 |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.65 WARNING:
% 0.46/0.65 |class_Numeral_Onumber| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.65 WARNING:
% 0.46/0.65 |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.65 WARNING:
% 0.46/0.65 |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.65 WARNING:
% 0.46/0.65 |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.65 WARNING:
% 0.46/0.65 |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.65 WARNING:
% 0.46/0.65 |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.65 WARNING:
% 0.46/0.65 |class_Ring__and__Field_Oaxclass__0__neq__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.65 WARNING:
% 0.46/0.65 |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.65 WARNING:
% 0.46/0.65 |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.65 WARNING:
% 0.46/0.65 |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.65 WARNING:
% 0.46/0.65 |class_OrderedGroup_Ocancel__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.65 WARNING:
% 0.46/0.65 |class_OrderedGroup_Omonoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.65 WARNING:
% 0.46/0.65 |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.65 WARNING:
% 0.46/0.65 |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.65 WARNING:
% 0.46/0.65 |class_Ring__and__Field_Osemiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.65 WARNING:
% 0.46/0.65 |class_OrderedGroup_Ocomm__monoid__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.65 WARNING:
% 0.46/0.65 |class_OrderedGroup_Ocancel__ab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.65 WARNING:
% 0.46/0.65 |class_OrderedGroup_Ocomm__monoid__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.65 WARNING:
% 0.46/0.65 |class_Ring__and__Field_Ocomm__semiring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.65 WARNING:
% 0.46/0.65 |class_Ring__and__Field_Osemiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.65 WARNING:
% 0.46/0.65 |class_OrderedGroup_Oab__group__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.65 WARNING:
% 0.46/0.65 |class_Ring__and__Field_Ocomm__semiring__0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.65 WARNING:
% 0.46/0.65 |class_Ring__and__Field_Osemiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.65 WARNING:
% 0.46/0.65 |class_Ring__and__Field_Osemiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.65 WARNING:
% 0.46/0.65 |class_Ring__and__Field_Oring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.65 WARNING:
% 0.46/0.65 |class_Ring__and__Field_Ocomm__semiring__0__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.65 WARNING:
% 0.46/0.65 |class_Ring__and__Field_Ocomm__semiring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.65 WARNING:
% 0.46/0.65 |class_Ring__and__Field_Osemiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.65 WARNING:
% 0.46/0.65 |class_Ring__and__Field_Ocomm__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.65 WARNING:
% 0.46/0.65 |class_Ring__and__Field_Oring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.65 WARNING:
% 0.46/0.65 |class_Ring__and__Field_Ocomm__semiring__1__cancel| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.65 WARNING:
% 0.46/0.65 |class_Ring__and__Field_Ocomm__ring__1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.65 WARNING:
% 0.46/0.65 |class_Power_Orecpower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.65 WARNING:
% 0.46/0.65 |class_Ring__and__Field_Oidom| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.65 WARNING:
% 0.46/0.65 |class_Numeral_Onumber__ring| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.84/1.06 ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 0.84/1.06
% 0.84/1.06 #||
% 0.84/1.06 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.84/1.06 % SZS output start Refutation
% See solution above
% 0.84/1.06 ||#
% 0.84/1.06
% 0.84/1.06 ; Summary of computation:
% 0.84/1.06 ; 5529 formulas have been input or derived (from 552 formulas).
% 0.84/1.06 ; 2394 (43%) were retained. Of these,
% 0.84/1.06 ; 77 ( 3%) were simplified or subsumed later,
% 0.84/1.06 ; 2317 (97%) are still being kept.
% 0.84/1.06 ;
% 0.84/1.06 ; Run time in seconds excluding printing time:
% 0.84/1.06 ; 0.156 26% Read assertion file (1 call)
% 0.84/1.06 ; 0.018 3% Assert (1,363 calls)
% 0.84/1.06 ; 0.146 24% Process new row (4,824 calls)
% 0.84/1.06 ; 0.094 16% Resolution (1,102 calls)
% 0.84/1.06 ; 0.004 1% Paramodulation (551 calls)
% 0.84/1.06 ; 0.000 0% Factoring (8 calls)
% 0.84/1.06 ; 0.004 1% Condensing (821 calls)
% 0.84/1.06 ; 0.021 3% Forward subsumption (821 calls)
% 0.84/1.06 ; 0.032 5% Backward subsumption (789 calls)
% 0.84/1.06 ; 0.001 0% Clause clause subsumption (328 calls)
% 0.84/1.06 ; 0.047 8% Forward simplification (4,058 calls)
% 0.84/1.06 ; 0.029 5% Backward simplification (2,393 calls)
% 0.84/1.06 ; 0.002 0% Ordering (964 calls)
% 0.84/1.06 ; 0.000 0% Sortal reasoning (32 calls)
% 0.84/1.06 ; 0.007 1% Purity testing (1 call)
% 0.84/1.06 ; 0.045 7% Other
% 0.84/1.06 ; 0.606 Total
% 0.84/1.06 ; 0.607 Real time
% 0.84/1.06 ;
% 0.84/1.06 ; Term-hash-array has 5,332 terms in all.
% 0.84/1.06 ; Feature-vector-row-index has 773 entries (784 at peak, 789 added, 16 deleted).
% 0.84/1.06 ; Feature-vector-row-index has 2,936 nodes (3,067 at peak, 3,093 added, 157 deleted).
% 0.84/1.06 ; Retrieved 942 possibly forward subsuming rows in 821 calls.
% 0.84/1.06 ; Retrieved 521 possibly backward subsumed rows in 789 calls.
% 0.84/1.06 ; Path-index has 5,231 entries (5,317 at peak, 5,358 added, 127 deleted).
% 0.84/1.06 ; Path-index has 19,007 nodes (19,126 at peak, 19,158 added, 151 deleted).
% 0.84/1.06 ; Trie-index has 5,231 entries (5,317 at peak, 5,358 added, 127 deleted).
% 0.84/1.06 ; Trie-index has 31,669 nodes (32,512 at peak, 32,694 added, 1,025 deleted).
% 0.84/1.06 ; Retrieved 2,018 generalization terms in 6,191 calls.
% 0.84/1.06 ; Retrieved 1,745 instance terms in 1,605 calls.
% 0.84/1.06 ; Retrieved 120,270 unifiable terms in 4,667 calls.
% 0.84/1.06 ;
% 0.84/1.06 ; The agenda of backward simplifiable rows to process has 50 entries:
% 0.84/1.06 ; 50 with value 0
% 0.84/1.06 ; The agenda of rows to process has 13 entries:
% 0.84/1.06 ; 3 with value 17 1 with value 57 2 with value 70
% 0.84/1.06 ; 4 with value 29 2 with value 63 1 with value 101
% 0.84/1.06 ; The agenda of input rows to give has 10 entries:
% 0.84/1.06 ; 2 with value 56 1 with value 82 1 with value 88
% 0.84/1.06 ; 2 with value 62 2 with value 85 1 with value 90
% 0.84/1.06 ; 1 with value 65
% 0.84/1.06 ; The agenda of rows to give has 1758 entries:
% 0.84/1.06 ; 1 with value (4 5) 34 with value (4 25) 8 with value (4 45)
% 0.84/1.06 ; 7 with value (4 6) 37 with value (4 26) 1 with value (4 46)
% 0.84/1.06 ; 12 with value (4 7) 39 with value (4 27) 5 with value (4 47)
% 0.84/1.06 ; 14 with value (4 8) 34 with value (4 28) 5 with value (4 48)
% 0.84/1.06 ; 30 with value (4 9) 42 with value (4 29) 6 with value (4 49)
% 0.84/1.06 ; 66 with value (4 10) 26 with value (4 30) 4 with value (4 50)
% 0.84/1.06 ; 25 with value (4 11) 25 with value (4 31) 1 with value (4 51)
% 0.84/1.06 ; 86 with value (4 12) 39 with value (4 32) 2 with value (4 52)
% 0.84/1.06 ; 64 with value (4 13) 18 with value (4 33) 2 with value (4 53)
% 0.84/1.06 ; 77 with value (4 14) 17 with value (4 34) 2 with value (4 54)
% 0.84/1.06 ; 124 with value (4 15) 19 with value (4 35) 3 with value (4 55)
% 0.84/1.06 ; 111 with value (4 16) 6 with value (4 36) 4 with value (4 56)
% 0.84/1.06 ; 130 with value (4 17) 12 with value (4 37) 1 with value (4 57)
% 0.84/1.06 ; 158 with value (4 18) 20 with value (4 38) 2 with value (4 60)
% 0.84/1.06 ; 85 with value (4 19) 8 with value (4 39) 1 with value (4 61)
% 0.84/1.06 ; 87 with value (4 20) 16 with value (4 40) 3 with value (4 66)
% 0.84/1.06 ; 56 with value (4 21) 2 with value (4 41) 3 with value (4 67)
% 0.84/1.06 ; 70 with value (4 22) 8 with value (4 42) 2 with value (4 75)
% 0.84/1.06 ; 49 with value (4 23) 6 with value (4 43) 1 with value (4 77)
% 0.84/1.06 ; 36 with value (4 24) 5 with value (4 44) 1 with value (4 84)
% 0.84/1.06 Evaluation took:
% 0.84/1.06 0.608 seconds of real time
% 0.84/1.06 0.563574 seconds of user run time
% 0.84/1.06 0.043892 seconds of system run time
% 0.84/1.06 [Run times include 0.04 seconds GC run time.]
% 0.84/1.06 0 calls to %EVAL
% 0.84/1.06 0 page faults and
% 0.84/1.06 44,773,704 bytes consed.
% 0.84/1.06 :PROOF-FOUND
% 0.84/1.06 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T16:05:24
% 0.84/1.06 :PROOF-FOUND
% 0.84/1.06 *
%------------------------------------------------------------------------------