TSTP Solution File: SET006-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET006-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 05:05:34 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 8 ( 5 unt; 1 nHn; 7 RR)
% Number of literals : 12 ( 0 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 8 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(subsets_axiom1,axiom,
( subset(X,Y)
| member(member_of_1_not_of_2(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET001-0.ax',subsets_axiom1) ).
cnf(subsets_axiom2,axiom,
( ~ member(member_of_1_not_of_2(X,Y),Y)
| subset(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET001-0.ax',subsets_axiom2) ).
cnf(member_of_intersection_is_member_of_set2,axiom,
( ~ intersection(X,Y,Z)
| ~ member(U,Z)
| member(U,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET001-2.ax',member_of_intersection_is_member_of_set2) ).
cnf(d_intersection_a_is_d,hypothesis,
intersection(d,a,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_intersection_a_is_d) ).
cnf(prove_d_is_a_subset_of_a,negated_conjecture,
~ subset(d,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_d_is_a_subset_of_a) ).
cnf(17,plain,
member(member_of_1_not_of_2(d,a),d),
inference('HYPERRESOLVE',[status(thm)],[prove_d_is_a_subset_of_a,subsets_axiom1]) ).
cnf(18,plain,
~ member(member_of_1_not_of_2(d,a),a),
inference('UR-RESOLVE',[status(thm)],[subsets_axiom2,prove_d_is_a_subset_of_a]) ).
cnf(22,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[member_of_intersection_is_member_of_set2,17,d_intersection_a_is_d]),18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET006-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n018.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 04:14:57 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 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 2022-07-10T04:14:57
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-07-10T04:14:57
% 0.19/0.51
% 0.19/0.51
% 0.19/0.51 #||
% 0.19/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51 % SZS output start Refutation
% See solution above
% 0.19/0.51 ||#
% 0.19/0.51
% 0.19/0.51 ; Summary of computation:
% 0.19/0.51 ; 43 formulas have been input or derived (from 20 formulas).
% 0.19/0.51 ; 22 (51%) were retained. Of these,
% 0.19/0.51 ; 22 (100%) are still being kept.
% 0.19/0.51 ;
% 0.19/0.51 ; Run time in seconds:
% 0.19/0.51 ; 0.004 12% Read assertion file (1 call)
% 0.19/0.51 ; 0.001 3% Assert (14 calls)
% 0.19/0.51 ; 0.001 3% Process new row (22 calls)
% 0.19/0.51 ; 0.003 9% Resolution (38 calls)
% 0.19/0.51 ; 0.000 0% Paramodulation (19 calls)
% 0.19/0.51 ; 0.000 0% Factoring (5 calls)
% 0.19/0.51 ; 0.001 3% Condensing (15 calls)
% 0.19/0.51 ; 0.000 0% Forward subsumption (15 calls)
% 0.19/0.51 ; 0.000 0% Backward subsumption (15 calls)
% 0.19/0.51 ; 0.001 3% Clause clause subsumption (14 calls)
% 0.19/0.51 ; 0.000 0% Forward simplification (22 calls)
% 0.19/0.51 ; 0.000 0% Backward simplification (22 calls)
% 0.19/0.51 ; 0.000 0% Ordering (14 calls)
% 0.19/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.51 ; 0.000 0% Purity testing (1 call)
% 0.19/0.51 ; 0.021 66% Other
% 0.19/0.51 ; 0.032 Total
% 0.19/0.51 ; 0.033 Real time
% 0.19/0.51 ;
% 0.19/0.51 ; Term-hash-array has 33 terms in all.
% 0.19/0.51 ; Feature-vector-row-index has 15 entries (15 at peak, 15 added, 0 deleted).
% 0.19/0.51 ; Feature-vector-row-index has 29 nodes (29 at peak, 29 added, 0 deleted).
% 0.19/0.51 ; Retrieved 6 possibly forward subsuming rows in 15 calls.
% 0.19/0.51 ; Retrieved 8 possibly backward subsumed rows in 15 calls.
% 0.19/0.51 ; Path-index has 35 entries (35 at peak, 35 added, 0 deleted).
% 0.19/0.51 ; Path-index has 64 nodes (64 at peak, 64 added, 0 deleted).
% 0.19/0.51 ; Trie-index has 35 entries (35 at peak, 35 added, 0 deleted).
% 0.19/0.51 ; Trie-index has 47 nodes (47 at peak, 47 added, 0 deleted).
% 0.19/0.51 ; Retrieved 1 generalization term in 10 calls.
% 0.19/0.51 ; Retrieved 6 instance terms in 6 calls.
% 0.19/0.51 ; Retrieved 609 unifiable terms in 130 calls.
% 0.19/0.51 ;
% 0.19/0.51 ; The agenda of rows to process has 14 entries:
% 0.19/0.51 ; 3 with value 9 5 with value 17 5 with value 25
% 0.19/0.51 ; 1 with value 16
% 0.19/0.51 ; The agenda of rows to give has 2 entries:
% 0.19/0.51 ; 1 with value (4 8) 1 with value (4 19)
% 0.19/0.51 Evaluation took:
% 0.19/0.51 0.034 seconds of real time
% 0.19/0.51 0.027918 seconds of user run time
% 0.19/0.51 0.005868 seconds of system run time
% 0.19/0.51 0 calls to %EVAL
% 0.19/0.51 0 page faults and
% 0.19/0.51 1,903,384 bytes consed.
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T04:14:57
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 *
%------------------------------------------------------------------------------