TSTP Solution File: NUM139-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM139-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n013.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 14:06:45 EDT 2022
% Result : Unsatisfiable 0.45s 0.63s
% Output : Refutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 5 unt; 1 nHn; 6 RR)
% Number of literals : 9 ( 0 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 6 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(not_subclass_members1,axiom,
( member(not_subclass_element(X,Y),X)
| subclass(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
cnf(intersection2,axiom,
( ~ member(X,intersection(Y,Z))
| member(X,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection2) ).
cnf(prove_complete_induction3_1,negated_conjecture,
~ member(not_subclass_element(intersection(power_class(x),z),x),z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_complete_induction3_1) ).
cnf(prove_complete_induction3_2,negated_conjecture,
~ subclass(intersection(power_class(x),z),x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_complete_induction3_2) ).
cnf(217,plain,
member(not_subclass_element(intersection(power_class(x),z),x),intersection(power_class(x),z)),
inference('HYPERRESOLVE',[status(thm)],[prove_complete_induction3_2,not_subclass_members1]) ).
cnf(271,plain,
~ member(not_subclass_element(intersection(power_class(x),z),x),intersection(X,z)),
inference('UR-RESOLVE',[status(thm)],[intersection2,prove_complete_induction3_1]) ).
cnf(272,plain,
$false,
inference('REWRITE',[status(thm)],[217,271]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : NUM139-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.08/0.15 % Command : run-snark %s %d
% 0.14/0.37 % Computer : n013.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 600
% 0.14/0.37 % DateTime : Thu Jul 7 06:40:14 EDT 2022
% 0.14/0.37 % CPUTime :
% 0.22/0.50 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.51 *
% 0.22/0.51 *
% 0.22/0.52 #<PACKAGE "SNARK-USER">
% 0.22/0.52 *
% 0.22/0.52 SNARK-TPTP-OPTIONS
% 0.22/0.52 *
% 0.22/0.52 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.52 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.52 (USE-FACTORING :POS)
% 0.22/0.52 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.52 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.52 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.52 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.52 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.52 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.52 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.52 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.52 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.52 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.52 *
% 0.22/0.52 "."
% 0.22/0.52 *
% 0.22/0.52 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-07T06:40:15
% 0.22/0.52 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-07T06:40:15
% 0.45/0.63
% 0.45/0.63
% 0.45/0.63 #||
% 0.45/0.63 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.45/0.63 % SZS output start Refutation
% See solution above
% 0.45/0.63 ||#
% 0.45/0.63
% 0.45/0.63 ; Summary of computation:
% 0.45/0.63 ; 344 formulas have been input or derived (from 67 formulas).
% 0.45/0.63 ; 272 (79%) were retained. Of these,
% 0.45/0.63 ; 36 (13%) were simplified or subsumed later,
% 0.45/0.63 ; 236 (87%) are still being kept.
% 0.45/0.63 ;
% 0.45/0.63 ; Run time in seconds excluding printing time:
% 0.45/0.63 ; 0.032 30% Read assertion file (1 call)
% 0.45/0.63 ; 0.004 4% Assert (160 calls)
% 0.45/0.63 ; 0.023 22% Process new row (290 calls)
% 0.45/0.63 ; 0.003 3% Resolution (132 calls)
% 0.45/0.63 ; 0.001 1% Paramodulation (66 calls)
% 0.45/0.63 ; 0.000 0% Factoring (3 calls)
% 0.45/0.63 ; 0.005 5% Condensing (179 calls)
% 0.45/0.63 ; 0.003 3% Forward subsumption (179 calls)
% 0.45/0.63 ; 0.001 1% Backward subsumption (165 calls)
% 0.45/0.63 ; 0.001 1% Clause clause subsumption (77 calls)
% 0.45/0.63 ; 0.006 6% Forward simplification (290 calls)
% 0.45/0.63 ; 0.000 0% Backward simplification (238 calls)
% 0.45/0.63 ; 0.001 1% Ordering (115 calls)
% 0.45/0.63 ; 0.001 1% Sortal reasoning (32 calls)
% 0.45/0.63 ; 0.000 0% Purity testing (1 call)
% 0.45/0.63 ; 0.024 23% Other
% 0.45/0.63 ; 0.105 Total
% 0.45/0.63 ; 0.106 Real time
% 0.45/0.63 ;
% 0.45/0.63 ; Term-hash-array has 604 terms in all.
% 0.45/0.63 ; Feature-vector-row-index has 165 entries (165 at peak, 165 added, 0 deleted).
% 0.45/0.63 ; Feature-vector-row-index has 880 nodes (880 at peak, 880 added, 0 deleted).
% 0.45/0.63 ; Retrieved 87 possibly forward subsuming rows in 179 calls.
% 0.45/0.63 ; Retrieved 12 possibly backward subsumed rows in 165 calls.
% 0.45/0.63 ; Path-index has 622 entries (623 at peak, 624 added, 2 deleted).
% 0.45/0.63 ; Path-index has 1,949 nodes (1,950 at peak, 1,951 added, 2 deleted).
% 0.45/0.63 ; Trie-index has 622 entries (623 at peak, 624 added, 2 deleted).
% 0.45/0.63 ; Trie-index has 1,786 nodes (1,789 at peak, 1,790 added, 4 deleted).
% 0.45/0.63 ; Retrieved 142 generalization terms in 694 calls.
% 0.45/0.63 ; Retrieved 114 instance terms in 75 calls.
% 0.45/0.63 ; Retrieved 3,020 unifiable terms in 435 calls.
% 0.45/0.63 ;
% 0.45/0.63 ; The agenda of rows to process has 2 entries:
% 0.45/0.63 ; 1 with value 15 1 with value 16
% 0.45/0.63 ; The agenda of input rows to give has 93 entries:
% 0.45/0.63 ; 15 with value 13 6 with value 20 2 with value 30
% 0.45/0.63 ; 8 with value 14 4 with value 21 2 with value 31
% 0.45/0.63 ; 15 with value 15 5 with value 22 1 with value 33
% 0.45/0.63 ; 4 with value 16 2 with value 24 1 with value 34
% 0.45/0.63 ; 8 with value 17 3 with value 25 2 with value 35
% 0.45/0.63 ; 7 with value 18 2 with value 26 1 with value 50
% 0.45/0.63 ; 3 with value 19 2 with value 27
% 0.45/0.63 ; The agenda of rows to give has 76 entries:
% 0.45/0.63 ; 2 with value (4 5) 11 with value (4 13) 5 with value (4 19)
% 0.45/0.63 ; 4 with value (4 7) 4 with value (4 14) 5 with value (4 20)
% 0.45/0.63 ; 4 with value (4 8) 4 with value (4 15) 2 with value (4 22)
% 0.45/0.63 ; 3 with value (4 9) 6 with value (4 16) 1 with value (4 24)
% 0.45/0.63 ; 5 with value (4 10) 6 with value (4 17) 2 with value (4 28)
% 0.45/0.63 ; 6 with value (4 11) 2 with value (4 18) 2 with value (4 30)
% 0.45/0.63 ; 2 with value (4 12)
% 0.45/0.63 Evaluation took:
% 0.45/0.63 0.107 seconds of real time
% 0.45/0.63 0.100339 seconds of user run time
% 0.45/0.63 0.006701 seconds of system run time
% 0.45/0.63 0 calls to %EVAL
% 0.45/0.63 0 page faults and
% 0.45/0.63 5,699,200 bytes consed.
% 0.45/0.63 :PROOF-FOUND
% 0.45/0.63 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-07T06:40:15
% 0.45/0.63 :PROOF-FOUND
% 0.45/0.63 *
%------------------------------------------------------------------------------