TSTP Solution File: SET851-1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET851-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 05:12:48 EDT 2022
% Result : Unsatisfiable 0.92s 1.10s
% Output : Refutation 0.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 11 ( 8 unt; 2 nHn; 9 RR)
% Number of literals : 16 ( 2 equ; 6 neg)
% Maximal clause size : 4 ( 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 : 7 ( 2 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_Osucc__trans_0,axiom,
( ~ c_lessequals(X,Y,tc_set(tc_set(Z)))
| c_lessequals(X,c_Zorn_Osucc(U,Y,Z),tc_set(tc_set(Z))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Osucc__trans_0) ).
cnf(cls_conjecture_1,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_1) ).
cnf(cls_conjecture_2,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_2) ).
cnf(cls_conjecture_3,negated_conjecture,
~ c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Zorn_Osucc(v_S,v_x,t_a),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_m,t_a),v_x,tc_set(tc_set(t_a)))
| c_lessequals(v_x,v_m,tc_set(tc_set(t_a))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_conjecture_5,negated_conjecture,
( c_lessequals(c_Zorn_Osucc(v_S,X,t_a),v_m,tc_set(tc_set(t_a)))
| X = v_m
| ~ c_lessequals(X,v_m,tc_set(tc_set(t_a)))
| ~ c_in(X,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(1887,plain,
~ c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_x,tc_set(tc_set(t_a))),
inference('UR-RESOLVE',[status(thm)],[cls_Zorn_Osucc__trans_0,cls_conjecture_3]) ).
cnf(1888,plain,
c_lessequals(v_x,v_m,tc_set(tc_set(t_a))),
inference('REWRITE',[status(thm)],[cls_conjecture_4,1887]) ).
cnf(2349,plain,
v_x = v_m,
inference('UR-RESOLVE',[status(thm)],[cls_conjecture_5,cls_conjecture_2,1888,cls_conjecture_1]) ).
cnf(2351,plain,
$false,
inference('REWRITE',[status(thm)],[cls_conjecture_3,cls_Set_Osubset__refl_0,2349,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET851-1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n019.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 16:57:23 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T16:57:23
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-07-10T16:57:23
% 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.
% 0.92/1.10 ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 0.92/1.10
% 0.92/1.10 #||
% 0.92/1.10 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.92/1.10 % SZS output start Refutation
% See solution above
% 0.92/1.10 ||#
% 0.92/1.10
% 0.92/1.10 ; Summary of computation:
% 0.92/1.10 ; 5457 formulas have been input or derived (from 541 formulas).
% 0.92/1.10 ; 2351 (43%) were retained. Of these,
% 0.92/1.10 ; 91 ( 4%) were simplified or subsumed later,
% 0.92/1.10 ; 2260 (96%) are still being kept.
% 0.92/1.10 ;
% 0.92/1.10 ; Run time in seconds excluding printing time:
% 0.92/1.10 ; 0.142 23% Read assertion file (1 call)
% 0.92/1.10 ; 0.017 3% Assert (1,367 calls)
% 0.92/1.10 ; 0.169 28% Process new row (4,746 calls)
% 0.92/1.10 ; 0.092 15% Resolution (1,080 calls)
% 0.92/1.10 ; 0.005 1% Paramodulation (540 calls)
% 0.92/1.10 ; 0.000 0% Factoring (9 calls)
% 0.92/1.10 ; 0.009 1% Condensing (825 calls)
% 0.92/1.10 ; 0.058 9% Forward subsumption (825 calls)
% 0.92/1.10 ; 0.014 2% Backward subsumption (792 calls)
% 0.92/1.10 ; 0.001 0% Clause clause subsumption (318 calls)
% 0.92/1.10 ; 0.037 6% Forward simplification (3,980 calls)
% 0.92/1.10 ; 0.020 3% Backward simplification (2,350 calls)
% 0.92/1.10 ; 0.004 1% Ordering (1,133 calls)
% 0.92/1.10 ; 0.000 0% Sortal reasoning (32 calls)
% 0.92/1.10 ; 0.008 1% Purity testing (1 call)
% 0.92/1.10 ; 0.038 6% Other
% 0.92/1.10 ; 0.614 Total
% 0.92/1.10 ; 0.616 Real time
% 0.92/1.10 ;
% 0.92/1.10 ; Term-hash-array has 5,213 terms in all.
% 0.92/1.10 ; Feature-vector-row-index has 774 entries (786 at peak, 792 added, 18 deleted).
% 0.92/1.10 ; Feature-vector-row-index has 2,901 nodes (3,049 at peak, 3,093 added, 192 deleted).
% 0.92/1.10 ; Retrieved 860 possibly forward subsuming rows in 825 calls.
% 0.92/1.10 ; Retrieved 499 possibly backward subsumed rows in 792 calls.
% 0.92/1.10 ; Path-index has 5,093 entries (5,197 at peak, 5,241 added, 148 deleted).
% 0.92/1.10 ; Path-index has 18,645 nodes (18,804 at peak, 18,839 added, 194 deleted).
% 0.92/1.10 ; Trie-index has 5,093 entries (5,197 at peak, 5,241 added, 148 deleted).
% 0.92/1.10 ; Trie-index has 29,701 nodes (30,710 at peak, 30,905 added, 1,204 deleted).
% 0.92/1.10 ; Retrieved 2,088 generalization terms in 6,007 calls.
% 0.92/1.10 ; Retrieved 1,704 instance terms in 1,559 calls.
% 0.92/1.10 ; Retrieved 108,618 unifiable terms in 4,502 calls.
% 0.92/1.10 ;
% 0.92/1.10 ; The agenda of backward simplifiable rows to process has 63 entries:
% 0.92/1.10 ; 63 with value 0
% 0.92/1.10 ; The agenda of rows to process has 5 entries:
% 0.92/1.10 ; 2 with value 17 2 with value 29 1 with value 70
% 0.92/1.10 ; The agenda of input rows to give has 26 entries:
% 0.92/1.10 ; 1 with value 12 2 with value 46 1 with value 82
% 0.92/1.10 ; 4 with value 38 2 with value 56 2 with value 85
% 0.92/1.10 ; 3 with value 40 2 with value 62 1 with value 88
% 0.92/1.10 ; 5 with value 41 1 with value 65 1 with value 90
% 0.92/1.10 ; 1 with value 42
% 0.92/1.10 ; The agenda of rows to give has 1697 entries:
% 0.92/1.10 ; 1 with value (4 5) 46 with value (4 23) 10 with value (4 41)
% 0.92/1.10 ; 7 with value (4 6) 32 with value (4 24) 3 with value (4 42)
% 0.92/1.10 ; 12 with value (4 7) 35 with value (4 25) 7 with value (4 43)
% 0.92/1.10 ; 14 with value (4 8) 37 with value (4 26) 4 with value (4 44)
% 0.92/1.10 ; 30 with value (4 9) 35 with value (4 27) 5 with value (4 45)
% 0.92/1.10 ; 66 with value (4 10) 34 with value (4 28) 1 with value (4 46)
% 0.92/1.10 ; 25 with value (4 11) 39 with value (4 29) 3 with value (4 47)
% 0.92/1.10 ; 86 with value (4 12) 26 with value (4 30) 5 with value (4 48)
% 0.92/1.10 ; 65 with value (4 13) 21 with value (4 31) 6 with value (4 49)
% 0.92/1.10 ; 75 with value (4 14) 34 with value (4 32) 1 with value (4 50)
% 0.92/1.10 ; 123 with value (4 15) 16 with value (4 33) 1 with value (4 51)
% 0.92/1.10 ; 111 with value (4 16) 21 with value (4 34) 2 with value (4 52)
% 0.92/1.10 ; 130 with value (4 17) 18 with value (4 35) 1 with value (4 54)
% 0.92/1.10 ; 152 with value (4 18) 4 with value (4 36) 1 with value (4 55)
% 0.92/1.10 ; 81 with value (4 19) 17 with value (4 37) 3 with value (4 56)
% 0.92/1.10 ; 87 with value (4 20) 10 with value (4 38) 1 with value (4 57)
% 0.92/1.10 ; 52 with value (4 21) 10 with value (4 39) 1 with value (4 61)
% 0.92/1.10 ; 70 with value (4 22) 19 with value (4 40) 1 with value (4 67)
% 0.92/1.10 Evaluation took:
% 0.92/1.10 0.617 seconds of real time
% 0.92/1.10 0.579232 seconds of user run time
% 0.92/1.10 0.037392 seconds of system run time
% 0.92/1.10 [Run times include 0.057 seconds GC run time.]
% 0.92/1.10 0 calls to %EVAL
% 0.92/1.10 0 page faults and
% 0.92/1.10 43,666,536 bytes consed.
% 0.92/1.10 :PROOF-FOUND
% 0.92/1.10 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T16:57:24
% 0.92/1.10 :PROOF-FOUND
% 0.92/1.10 *
%------------------------------------------------------------------------------