TSTP Solution File: SET118-7 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET118-7 : TPTP v8.1.0. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 05:07:36 EDT 2022
% Result : Unsatisfiable 0.40s 0.60s
% Output : Refutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 4
% Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 4 RR)
% Number of literals : 7 ( 0 equ; 3 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 4 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(subclass_members,axiom,
( ~ subclass(X,Y)
| ~ member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(class_elements_are_sets,axiom,
subclass(X,universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(prove_corollary_2_to_ordered_pairs_are_sets_1,negated_conjecture,
member(x,cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_2_to_ordered_pairs_are_sets_1) ).
cnf(prove_corollary_2_to_ordered_pairs_are_sets_2,negated_conjecture,
~ member(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_2_to_ordered_pairs_are_sets_2) ).
cnf(268,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[subclass_members,class_elements_are_sets,prove_corollary_2_to_ordered_pairs_are_sets_1,prove_corollary_2_to_ordered_pairs_are_sets_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET118-7 : TPTP v8.1.0. Bugfixed v7.3.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n021.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 : Sat Jul 9 23:17:07 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T23:17:07
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-07-09T23:17:07
% 0.20/0.53
% 0.20/0.53 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.40/0.60 ; Declaring unordered_pair to be commutative.
% 0.40/0.60
% 0.40/0.60 #||
% 0.40/0.60 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/0.60 % SZS output start Refutation
% See solution above
% 0.40/0.60 ||#
% 0.40/0.60
% 0.40/0.60 ; Summary of computation:
% 0.40/0.60 ; 394 formulas have been input or derived (from 50 formulas).
% 0.40/0.60 ; 268 (68%) were retained. Of these,
% 0.40/0.60 ; 70 (26%) were simplified or subsumed later,
% 0.40/0.60 ; 198 (74%) are still being kept.
% 0.40/0.60 ;
% 0.40/0.60 ; Run time in seconds:
% 0.40/0.60 ; 0.029 25% Read assertion file (1 call)
% 0.40/0.60 ; 0.006 5% Assert (165 calls)
% 0.40/0.60 ; 0.029 25% Process new row (304 calls)
% 0.40/0.60 ; 0.003 3% Resolution (98 calls)
% 0.40/0.60 ; 0.001 1% Paramodulation (49 calls)
% 0.40/0.60 ; 0.000 0% Factoring (4 calls)
% 0.40/0.60 ; 0.002 2% Condensing (183 calls)
% 0.40/0.60 ; 0.010 8% Forward subsumption (183 calls)
% 0.40/0.60 ; 0.006 5% Backward subsumption (171 calls)
% 0.40/0.60 ; 0.001 1% Clause clause subsumption (124 calls)
% 0.40/0.60 ; 0.009 8% Forward simplification (303 calls)
% 0.40/0.60 ; 0.003 3% Backward simplification (251 calls)
% 0.40/0.60 ; 0.001 1% Ordering (113 calls)
% 0.40/0.60 ; 0.000 0% Sortal reasoning (32 calls)
% 0.40/0.60 ; 0.000 0% Purity testing (1 call)
% 0.40/0.60 ; 0.018 15% Other
% 0.40/0.60 ; 0.118 Total
% 0.40/0.60 ; 0.118 Real time
% 0.40/0.60 ;
% 0.40/0.60 ; Term-hash-array has 648 terms in all.
% 0.40/0.60 ; Feature-vector-row-index has 129 entries (129 at peak, 171 added, 42 deleted).
% 0.40/0.60 ; Feature-vector-row-index has 940 nodes (940 at peak, 1,178 added, 238 deleted).
% 0.40/0.60 ; Retrieved 101 possibly forward subsuming rows in 183 calls.
% 0.40/0.60 ; Retrieved 40 possibly backward subsumed rows in 171 calls.
% 0.40/0.60 ; Path-index has 576 entries (576 at peak, 703 added, 127 deleted).
% 0.40/0.60 ; Path-index has 2,873 nodes (2,873 at peak, 3,038 added, 165 deleted).
% 0.40/0.60 ; Trie-index has 576 entries (576 at peak, 703 added, 127 deleted).
% 0.40/0.60 ; Trie-index has 2,686 nodes (2,686 at peak, 3,031 added, 345 deleted).
% 0.40/0.60 ; Retrieved 317 generalization terms in 1,321 calls.
% 0.40/0.60 ; Retrieved 199 instance terms in 79 calls.
% 0.40/0.60 ; Retrieved 2,961 unifiable terms in 289 calls.
% 0.40/0.60 ;
% 0.40/0.60 ; The agenda of rows to process has 53 entries:
% 0.40/0.60 ; 18 with value 5 5 with value 12 1 with value 17
% 0.40/0.60 ; 5 with value 7 2 with value 13 2 with value 18
% 0.40/0.60 ; 4 with value 8 3 with value 14 4 with value 19
% 0.40/0.60 ; 5 with value 11 1 with value 15 3 with value 20
% 0.40/0.60 ; The agenda of input rows to give has 102 entries:
% 0.40/0.60 ; 13 with value 12 3 with value 30 1 with value 48
% 0.40/0.60 ; 5 with value 13 1 with value 31 2 with value 53
% 0.40/0.60 ; 8 with value 14 1 with value 32 1 with value 56
% 0.40/0.60 ; 7 with value 15 1 with value 33 1 with value 57
% 0.40/0.60 ; 5 with value 16 5 with value 35 2 with value 62
% 0.40/0.60 ; 2 with value 17 1 with value 36 1 with value 64
% 0.40/0.60 ; 6 with value 18 1 with value 37 1 with value 66
% 0.40/0.60 ; 3 with value 19 4 with value 39 1 with value 74
% 0.40/0.60 ; 4 with value 20 1 with value 40 2 with value 94
% 0.40/0.60 ; 2 with value 22 2 with value 41 1 with value 123
% 0.40/0.60 ; 3 with value 23 1 with value 43 2 with value 139
% 0.40/0.60 ; 1 with value 27 4 with value 46 2 with value 212
% 0.40/0.60 ; 1 with value 28
% 0.40/0.60 ; The agenda of rows to give has 47 entries:
% 0.40/0.60 ; 1 with value (4 4) 3 with value (4 10) 1 with value (4 15)
% 0.40/0.60 ; 1 with value (4 5) 1 with value (4 11) 2 with value (4 16)
% 0.40/0.60 ; 10 with value (4 7) 6 with value (4 13) 3 with value (4 17)
% 0.40/0.60 ; 7 with value (4 8) 4 with value (4 14) 3 with value (4 18)
% 0.40/0.60 ; 5 with value (4 9)
% 0.40/0.60 Evaluation took:
% 0.40/0.60 0.119 seconds of real time
% 0.40/0.60 0.109994 seconds of user run time
% 0.40/0.60 0.009184 seconds of system run time
% 0.40/0.60 0 calls to %EVAL
% 0.40/0.60 0 page faults and
% 0.40/0.60 6,956,336 bytes consed.
% 0.40/0.60 :PROOF-FOUND
% 0.40/0.60 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T23:17:07
% 0.40/0.60 :PROOF-FOUND
% 0.40/0.60 *
%------------------------------------------------------------------------------