TSTP Solution File: PUZ063-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : PUZ063-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 : Mon Jul 18 18:26:50 EDT 2022
% Result : Unsatisfiable 0.92s 1.08s
% Output : Refutation 0.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 3
% Syntax : Number of clauses : 4 ( 4 unt; 0 nHn; 3 RR)
% Number of literals : 4 ( 1 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 2 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Set_OUn__empty__left_0,axiom,
c_union(c_emptyset,X,Y) = X,
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OUn__empty__left_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_u,c_Mutil_Otiling(v_A,t_a),tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_2,negated_conjecture,
~ c_in(c_union(c_emptyset,v_u,t_a),c_Mutil_Otiling(v_A,t_a),tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(2218,plain,
$false,
inference('REWRITE',[status(thm)],[cls_conjecture_2,cls_conjecture_0,cls_Set_OUn__empty__left_0,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : PUZ063-1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n026.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 May 29 00:53:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-05-29T00:53:39
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-05-29T00:53:39
% 0.60/0.80
% 0.60/0.82 ; Recognized right identity assertion (= (|c_NatArith_Oof__nat| ?X |tc_nat|) ?X).
% 0.60/0.82 ; Recognized left identity assertion (= (|c_Numeral_Obin__add| |c_Numeral_OPls| ?X) ?X).
% 0.67/0.83 ; Recognized right identity assertion (= (|c_Numeral_Obin__add| ?X |c_Numeral_OPls|) ?X).
% 0.69/0.86 WARNING:
% 0.69/0.86 |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.69/0.86 WARNING:
% 0.69/0.86 |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.69/0.86 WARNING:
% 0.69/0.86 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.69/0.86 WARNING:
% 0.69/0.86 |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.69/0.86 WARNING:
% 0.69/0.86 |class_HOL_Ominus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.86 WARNING:
% 0.69/0.86 |class_HOL_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.86 WARNING:
% 0.69/0.86 |class_HOL_Otimes| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.86 WARNING:
% 0.69/0.86 |class_HOL_Ozero| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.86 WARNING:
% 0.69/0.86 |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.86 WARNING:
% 0.69/0.86 |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.86 WARNING:
% 0.69/0.86 |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.86 WARNING:
% 0.69/0.86 |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.86 WARNING:
% 0.69/0.86 |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.69/0.86 WARNING:
% 0.69/0.86 |class_Ring__and__Field_Oaxclass__no__zero__divisors| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.86 WARNING:
% 0.69/0.86 |class_OrderedGroup_Osemigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.86 WARNING:
% 0.69/0.86 |class_OrderedGroup_Osemigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.86 WARNING:
% 0.69/0.86 |class_OrderedGroup_Oab__semigroup__add| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.69/0.86 WARNING:
% 0.69/0.86 |class_OrderedGroup_Oab__semigroup__mult| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.92/1.08 ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 0.92/1.08
% 0.92/1.08 #||
% 0.92/1.08 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.92/1.08 % SZS output start Refutation
% See solution above
% 0.92/1.08 ||#
% 0.92/1.08
% 0.92/1.08 ; Summary of computation:
% 0.92/1.08 ; 3026 formulas have been input or derived (from 1 formulas).
% 0.92/1.08 ; 2218 (73%) were retained. Of these,
% 0.92/1.08 ; 305 (14%) were simplified or subsumed later,
% 0.92/1.08 ; 1913 (86%) are still being kept.
% 0.92/1.08 ;
% 0.92/1.08 ; Run time in seconds excluding printing time:
% 0.92/1.08 ; 0.334 54% Read assertion file (1 call)
% 0.92/1.08 ; 0.042 7% Assert (2,735 calls)
% 0.92/1.08 ; 0.097 16% Process new row (2,731 calls)
% 0.92/1.08 ; 0.019 3% Condensing (1,521 calls)
% 0.92/1.08 ; 0.015 2% Forward subsumption (1,521 calls)
% 0.92/1.08 ; 0.020 3% Backward subsumption (1,478 calls)
% 0.92/1.08 ; 0.001 0% Clause clause subsumption (419 calls)
% 0.92/1.08 ; 0.024 4% Forward simplification (2,144 calls)
% 0.92/1.08 ; 0.016 3% Backward simplification (2,071 calls)
% 0.92/1.08 ; 0.003 0% Ordering (533 calls)
% 0.92/1.08 ; 0.000 0% Sortal reasoning (32 calls)
% 0.92/1.08 ; 0.013 2% Purity testing (1 call)
% 0.92/1.08 ; 0.036 6% Other
% 0.92/1.08 ; 0.620 Total
% 0.92/1.08 ; 0.621 Real time
% 0.92/1.08 ;
% 0.92/1.08 ; Term-hash-array has 3,333 terms in all.
% 0.92/1.08 ; Feature-vector-row-index has 1,371 entries (1,371 at peak, 1,478 added, 107 deleted).
% 0.92/1.08 ; Feature-vector-row-index has 4,166 nodes (4,166 at peak, 5,523 added, 1,357 deleted).
% 0.92/1.08 ; Retrieved 2,151 possibly forward subsuming rows in 1,521 calls.
% 0.92/1.08 ; Retrieved 2,125 possibly backward subsumed rows in 1,478 calls.
% 0.92/1.08 ; Path-index has 3,023 entries (3,023 at peak, 3,394 added, 371 deleted).
% 0.92/1.08 ; Path-index has 13,361 nodes (13,361 at peak, 14,163 added, 802 deleted).
% 0.92/1.08 ; Trie-index has 3,023 entries (3,023 at peak, 3,394 added, 371 deleted).
% 0.92/1.08 ; Trie-index has 12,413 nodes (12,413 at peak, 14,759 added, 2,346 deleted).
% 0.92/1.08 ; Retrieved 538 generalization terms in 6,459 calls.
% 0.92/1.08 ; Retrieved 885 instance terms in 620 calls.
% 0.92/1.08 ;
% 0.92/1.08 ; The agenda of backward simplifiable rows to process has 144 entries:
% 0.92/1.08 ; 144 with value 0
% 0.92/1.08 ; The agenda of input rows to give has 1912 entries:
% 0.92/1.08 ; 92 with value 3 49 with value 22 6 with value 41
% 0.92/1.08 ; 12 with value 4 57 with value 23 1 with value 42
% 0.92/1.08 ; 16 with value 5 14 with value 24 8 with value 43
% 0.92/1.08 ; 533 with value 6 10 with value 25 2 with value 44
% 0.92/1.08 ; 68 with value 7 17 with value 26 2 with value 45
% 0.92/1.08 ; 73 with value 8 30 with value 27 2 with value 46
% 0.92/1.08 ; 42 with value 9 19 with value 28 2 with value 48
% 0.92/1.08 ; 36 with value 10 14 with value 29 1 with value 49
% 0.92/1.08 ; 72 with value 11 8 with value 30 1 with value 51
% 0.92/1.08 ; 69 with value 12 14 with value 31 1 with value 53
% 0.92/1.08 ; 50 with value 13 7 with value 32 5 with value 56
% 0.92/1.08 ; 64 with value 14 10 with value 33 2 with value 61
% 0.92/1.08 ; 59 with value 15 16 with value 34 2 with value 62
% 0.92/1.08 ; 104 with value 16 5 with value 35 1 with value 65
% 0.92/1.08 ; 94 with value 17 18 with value 36 1 with value 82
% 0.92/1.08 ; 60 with value 18 1 with value 37 2 with value 85
% 0.92/1.08 ; 49 with value 19 6 with value 38 1 with value 88
% 0.92/1.08 ; 40 with value 20 4 with value 39 1 with value 90
% 0.92/1.08 ; 30 with value 21 9 with value 40
% 0.92/1.08 Evaluation took:
% 0.92/1.08 0.622 seconds of real time
% 0.92/1.08 0.588327 seconds of user run time
% 0.92/1.08 0.032817 seconds of system run time
% 0.92/1.08 [Run times include 0.023 seconds GC run time.]
% 0.92/1.08 0 calls to %EVAL
% 0.92/1.08 0 page faults and
% 0.92/1.08 47,306,376 bytes consed.
% 0.92/1.08 :PROOF-FOUND
% 0.92/1.08 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T00:53:40
% 0.92/1.08 :PROOF-FOUND
% 0.92/1.08 *
%------------------------------------------------------------------------------