TSTP Solution File: SET239-6 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET239-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 05:08:33 EDT 2022
% Result : Unsatisfiable 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 6 ( 5 unt; 0 nHn; 5 RR)
% Number of literals : 7 ( 1 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 6 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(intersection1,axiom,
( ~ member(X,intersection(Y,Z))
| member(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection1) ).
cnf(restriction1,axiom,
intersection(X,cross_product(Y,Z)) = restrict(X,Y,Z),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',restriction1) ).
cnf(prove_restriction_alternate_defn2_1,negated_conjecture,
member(z,restrict(xr,x,y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_restriction_alternate_defn2_1) ).
cnf(128,plain,
member(z,intersection(xr,cross_product(x,y))),
inference('REWRITE',[status(thm)],[prove_restriction_alternate_defn2_1,restriction1,theory(equality)]) ).
cnf(prove_restriction_alternate_defn2_2,negated_conjecture,
~ member(z,xr),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_restriction_alternate_defn2_2) ).
cnf(152,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[intersection1,128,prove_restriction_alternate_defn2_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET239-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n020.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 09:32:58 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T09:32:58
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-07-10T09:32:58
% 0.19/0.54
% 0.19/0.54
% 0.19/0.54 #||
% 0.19/0.54 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.54 % SZS output start Refutation
% See solution above
% 0.19/0.54 ||#
% 0.19/0.54
% 0.19/0.54 ; Summary of computation:
% 0.19/0.54 ; 186 formulas have been input or derived (from 41 formulas).
% 0.19/0.54 ; 152 (82%) were retained. Of these,
% 0.19/0.54 ; 17 (11%) were simplified or subsumed later,
% 0.19/0.54 ; 135 (89%) are still being kept.
% 0.19/0.54 ;
% 0.19/0.54 ; Run time in seconds excluding printing time:
% 0.19/0.54 ; 0.021 29% Read assertion file (1 call)
% 0.19/0.54 ; 0.005 7% Assert (114 calls)
% 0.19/0.54 ; 0.010 14% Process new row (152 calls)
% 0.19/0.54 ; 0.001 1% Resolution (80 calls)
% 0.19/0.54 ; 0.000 0% Paramodulation (40 calls)
% 0.19/0.54 ; 0.000 0% Factoring (2 calls)
% 0.19/0.54 ; 0.004 5% Condensing (79 calls)
% 0.19/0.54 ; 0.000 0% Forward subsumption (79 calls)
% 0.19/0.54 ; 0.001 1% Backward subsumption (78 calls)
% 0.19/0.54 ; 0.000 0% Clause clause subsumption (30 calls)
% 0.19/0.54 ; 0.003 4% Forward simplification (152 calls)
% 0.19/0.54 ; 0.002 3% Backward simplification (136 calls)
% 0.19/0.54 ; 0.002 3% Ordering (47 calls)
% 0.19/0.54 ; 0.001 1% Sortal reasoning (32 calls)
% 0.19/0.54 ; 0.000 0% Purity testing (1 call)
% 0.19/0.54 ; 0.023 32% Other
% 0.19/0.54 ; 0.073 Total
% 0.19/0.54 ; 0.075 Real time
% 0.19/0.54 ;
% 0.19/0.54 ; Term-hash-array has 339 terms in all.
% 0.19/0.54 ; Feature-vector-row-index has 78 entries (78 at peak, 78 added, 0 deleted).
% 0.19/0.54 ; Feature-vector-row-index has 378 nodes (378 at peak, 378 added, 0 deleted).
% 0.19/0.54 ; Retrieved 32 possibly forward subsuming rows in 79 calls.
% 0.19/0.54 ; Retrieved 5 possibly backward subsumed rows in 78 calls.
% 0.19/0.54 ; Path-index has 354 entries (354 at peak, 355 added, 1 deleted).
% 0.19/0.54 ; Path-index has 1,295 nodes (1,295 at peak, 1,296 added, 1 deleted).
% 0.19/0.54 ; Trie-index has 354 entries (354 at peak, 355 added, 1 deleted).
% 0.19/0.54 ; Trie-index has 1,081 nodes (1,081 at peak, 1,082 added, 1 deleted).
% 0.19/0.54 ; Retrieved 68 generalization terms in 320 calls.
% 0.19/0.54 ; Retrieved 81 instance terms in 57 calls.
% 0.19/0.54 ; Retrieved 888 unifiable terms in 197 calls.
% 0.19/0.54 ;
% 0.19/0.54 ; The agenda of rows to process has 4 entries:
% 0.19/0.54 ; 1 with value 5 1 with value 11 1 with value 17
% 0.19/0.54 ; 1 with value 8
% 0.19/0.54 ; The agenda of input rows to give has 73 entries:
% 0.19/0.54 ; 5 with value 11 2 with value 18 1 with value 27
% 0.19/0.54 ; 8 with value 12 1 with value 19 2 with value 30
% 0.19/0.54 ; 11 with value 13 4 with value 20 1 with value 31
% 0.19/0.54 ; 7 with value 14 3 with value 21 1 with value 33
% 0.19/0.54 ; 9 with value 15 4 with value 22 1 with value 34
% 0.19/0.54 ; 3 with value 16 1 with value 24 2 with value 35
% 0.19/0.54 ; 5 with value 17 1 with value 26 1 with value 50
% 0.19/0.54 ; The agenda of rows to give has 21 entries:
% 0.19/0.54 ; 2 with value (4 5) 1 with value (4 9) 5 with value (4 13)
% 0.19/0.54 ; 4 with value (4 7) 2 with value (4 10) 2 with value (4 15)
% 0.19/0.54 ; 5 with value (4 8)
% 0.19/0.54 Evaluation took:
% 0.19/0.54 0.076 seconds of real time
% 0.19/0.54 0.066324 seconds of user run time
% 0.19/0.54 0.009095 seconds of system run time
% 0.19/0.54 0 calls to %EVAL
% 0.19/0.54 0 page faults and
% 0.19/0.54 3,689,192 bytes consed.
% 0.19/0.54 :PROOF-FOUND
% 0.19/0.54 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T09:32:58
% 0.19/0.54 :PROOF-FOUND
% 0.19/0.54 *
%------------------------------------------------------------------------------