TSTP Solution File: SET004-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET004-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n007.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 05:05:33 EDT 2022
% Result : Unsatisfiable 0.18s 0.50s
% Output : Refutation 0.18s
% 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 : 4 ( 4 usr; 3 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/sandbox/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/sandbox/benchmark/Axioms/SET001-0.ax',subsets_axiom2) ).
cnf(member_of_set1_is_member_of_union,axiom,
( ~ union(X,Y,Z)
| ~ member(U,X)
| member(U,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-1.ax',member_of_set1_is_member_of_union) ).
cnf(a_union_b_is_aUb,hypothesis,
union(a,b,aUb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_union_b_is_aUb) ).
cnf(prove_a_is_a_subset_of_aUb,negated_conjecture,
~ subset(a,aUb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_is_a_subset_of_aUb) ).
cnf(17,plain,
member(member_of_1_not_of_2(a,aUb),a),
inference('HYPERRESOLVE',[status(thm)],[prove_a_is_a_subset_of_aUb,subsets_axiom1]) ).
cnf(18,plain,
~ member(member_of_1_not_of_2(a,aUb),aUb),
inference('UR-RESOLVE',[status(thm)],[subsets_axiom2,prove_a_is_a_subset_of_aUb]) ).
cnf(24,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[member_of_set1_is_member_of_union,17,a_union_b_is_aUb]),18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET004-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n007.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 10 08:45:16 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.47 #<PACKAGE "SNARK-USER">
% 0.18/0.47 *
% 0.18/0.47 SNARK-TPTP-OPTIONS
% 0.18/0.47 *
% 0.18/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.47 (USE-FACTORING :POS)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.47 *
% 0.18/0.47 "."
% 0.18/0.47 *
% 0.18/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T08:45:17
% 0.18/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-07-10T08:45:17
% 0.18/0.50
% 0.18/0.50
% 0.18/0.50 #||
% 0.18/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.50 % SZS output start Refutation
% See solution above
% 0.18/0.50 ||#
% 0.18/0.50
% 0.18/0.50 ; Summary of computation:
% 0.18/0.50 ; 44 formulas have been input or derived (from 22 formulas).
% 0.18/0.50 ; 24 (55%) were retained. Of these,
% 0.18/0.50 ; 24 (100%) are still being kept.
% 0.18/0.50 ;
% 0.18/0.50 ; Run time in seconds:
% 0.18/0.50 ; 0.004 12% Read assertion file (1 call)
% 0.18/0.50 ; 0.001 3% Assert (14 calls)
% 0.18/0.50 ; 0.002 6% Process new row (26 calls)
% 0.18/0.50 ; 0.003 9% Resolution (42 calls)
% 0.18/0.50 ; 0.000 0% Paramodulation (21 calls)
% 0.18/0.50 ; 0.000 0% Factoring (6 calls)
% 0.18/0.50 ; 0.000 0% Condensing (19 calls)
% 0.18/0.50 ; 0.001 3% Forward subsumption (19 calls)
% 0.18/0.50 ; 0.000 0% Backward subsumption (17 calls)
% 0.18/0.50 ; 0.000 0% Clause clause subsumption (23 calls)
% 0.18/0.50 ; 0.000 0% Forward simplification (26 calls)
% 0.18/0.50 ; 0.000 0% Backward simplification (24 calls)
% 0.18/0.50 ; 0.000 0% Ordering (14 calls)
% 0.18/0.50 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.50 ; 0.000 0% Purity testing (1 call)
% 0.18/0.50 ; 0.021 66% Other
% 0.18/0.50 ; 0.032 Total
% 0.18/0.50 ; 0.034 Real time
% 0.18/0.50 ;
% 0.18/0.50 ; Term-hash-array has 42 terms in all.
% 0.18/0.50 ; Feature-vector-row-index has 17 entries (17 at peak, 17 added, 0 deleted).
% 0.18/0.50 ; Feature-vector-row-index has 33 nodes (33 at peak, 33 added, 0 deleted).
% 0.18/0.50 ; Retrieved 8 possibly forward subsuming rows in 19 calls.
% 0.18/0.50 ; Retrieved 15 possibly backward subsumed rows in 17 calls.
% 0.18/0.50 ; Path-index has 45 entries (45 at peak, 45 added, 0 deleted).
% 0.18/0.50 ; Path-index has 65 nodes (65 at peak, 65 added, 0 deleted).
% 0.18/0.50 ; Trie-index has 45 entries (45 at peak, 45 added, 0 deleted).
% 0.18/0.50 ; Trie-index has 48 nodes (48 at peak, 48 added, 0 deleted).
% 0.18/0.50 ; Retrieved 1 generalization term in 21 calls.
% 0.18/0.50 ; Retrieved 6 instance terms in 6 calls.
% 0.18/0.50 ; Retrieved 625 unifiable terms in 124 calls.
% 0.18/0.50 ;
% 0.18/0.50 ; The agenda of rows to process has 14 entries:
% 0.18/0.50 ; 1 with value 16 7 with value 25 2 with value 33
% 0.18/0.50 ; 1 with value 17 2 with value 32 1 with value 40
% 0.18/0.50 ; The agenda of rows to give has 2 entries:
% 0.18/0.50 ; 1 with value (4 8) 1 with value (4 19)
% 0.18/0.50 Evaluation took:
% 0.18/0.50 0.034 seconds of real time
% 0.18/0.50 0.027603 seconds of user run time
% 0.18/0.50 0.006031 seconds of system run time
% 0.18/0.50 0 calls to %EVAL
% 0.18/0.50 0 page faults and
% 0.18/0.50 1,920,040 bytes consed.
% 0.18/0.50 :PROOF-FOUND
% 0.18/0.50 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T08:45:17
% 0.18/0.50 :PROOF-FOUND
% 0.18/0.50 *
%------------------------------------------------------------------------------