TSTP Solution File: SET585+3 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET585+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n003.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 05:10:33 EDT 2022
% Result : Theorem 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 4
% Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 3 RR)
% Number of literals : 7 ( 0 equ; 3 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 7 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ subset(X,Y)
| ~ subset(Y,Z)
| subset(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_subset) ).
cnf(2,axiom,
subset(X,union(X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_of_union) ).
cnf(3,axiom,
subset(intersection(X,Y),X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_is_subset) ).
cnf(15,negated_conjecture,
~ subset(intersection('SKOLEMAAAV3','SKOLEMAAAV4'),union('SKOLEMAAAV3','SKOLEMAAAV5')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_intersection_subset_of_union) ).
cnf(18,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[1,3,2,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET585+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n003.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jul 10 13:57:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.46 #<PACKAGE "SNARK-USER">
% 0.20/0.46 *
% 0.20/0.46 SNARK-TPTP-OPTIONS
% 0.20/0.46 *
% 0.20/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46 (USE-FACTORING :POS)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46 *
% 0.20/0.46 "."
% 0.20/0.46 *
% 0.20/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T13:57:44
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-07-10T13:57:44
% 0.20/0.48
% 0.20/0.48 ; Recognized commutativity assertion (= (|union| ?X ?Y) (|union| ?Y ?X)).
% 0.20/0.48 ; Recognized commutativity assertion (= (|intersection| ?X ?Y) (|intersection| ?Y ?X)).
% 0.20/0.48 ; Declaring union to be commutative.
% 0.20/0.49 ; Declaring intersection to be commutative.
% 0.20/0.49
% 0.20/0.49 #||
% 0.20/0.49 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.49 % SZS output start Refutation
% See solution above
% 0.20/0.49 ||#
% 0.20/0.49
% 0.20/0.49 ; Summary of computation:
% 0.20/0.50 ; 55 formulas have been input or derived (from 10 formulas).
% 0.20/0.50 ; 18 (33%) were retained. Of these,
% 0.20/0.50 ; 18 (100%) are still being kept.
% 0.20/0.50 ;
% 0.20/0.50 ; Run time in seconds excluding printing time:
% 0.20/0.50 ; 0.002 7% Read assertion file (1 call)
% 0.20/0.50 ; 0.001 3% Assert (11 calls)
% 0.20/0.50 ; 0.001 3% Process new row (23 calls)
% 0.20/0.50 ; 0.000 0% Resolution (18 calls)
% 0.20/0.50 ; 0.000 0% Paramodulation (9 calls)
% 0.20/0.50 ; 0.000 0% Factoring (1 call)
% 0.20/0.50 ; 0.000 0% Condensing (14 calls)
% 0.20/0.50 ; 0.001 3% Forward subsumption (14 calls)
% 0.20/0.50 ; 0.000 0% Backward subsumption (11 calls)
% 0.20/0.50 ; 0.000 0% Clause clause subsumption (3 calls)
% 0.20/0.50 ; 0.001 3% Forward simplification (23 calls)
% 0.20/0.50 ; 0.001 3% Backward simplification (18 calls)
% 0.20/0.50 ; 0.000 0% Ordering (5 calls)
% 0.20/0.50 ; 0.001 3% Sortal reasoning (32 calls)
% 0.20/0.50 ; 0.000 0% Purity testing (1 call)
% 0.20/0.50 ; 0.021 72% Other
% 0.20/0.50 ; 0.029 Total
% 0.20/0.50 ; 0.031 Real time
% 0.20/0.50 ;
% 0.20/0.50 ; Term-hash-array has 29 terms in all.
% 0.20/0.50 ; Feature-vector-row-index has 11 entries (11 at peak, 11 added, 0 deleted).
% 0.20/0.50 ; Feature-vector-row-index has 24 nodes (24 at peak, 24 added, 0 deleted).
% 0.20/0.50 ; Retrieved 4 possibly forward subsuming rows in 14 calls.
% 0.20/0.50 ; Retrieved 1 possibly backward subsumed row in 11 calls.
% 0.20/0.50 ; Path-index has 32 entries (32 at peak, 32 added, 0 deleted).
% 0.20/0.50 ; Path-index has 72 nodes (72 at peak, 72 added, 0 deleted).
% 0.20/0.50 ; Trie-index has 32 entries (32 at peak, 32 added, 0 deleted).
% 0.20/0.50 ; Trie-index has 73 nodes (73 at peak, 73 added, 0 deleted).
% 0.20/0.50 ; Retrieved 3 generalization terms in 7 calls.
% 0.20/0.50 ; Retrieved 11 instance terms in 6 calls.
% 0.20/0.50 ; Retrieved 217 unifiable terms in 60 calls.
% 0.20/0.50 ;
% 0.20/0.50 ; The agenda of rows to process has 30 entries:
% 0.20/0.50 ; 1 with value 5 4 with value 11 3 with value 15
% 0.20/0.50 ; 12 with value 8 2 with value 12 1 with value 17
% 0.20/0.50 ; 4 with value 10 2 with value 13 1 with value 19
% 0.20/0.50 ; The agenda of input rows to give has 6 entries:
% 0.20/0.50 ; 2 with value 12 2 with value 15 2 with value 18
% 0.20/0.50 ; The agenda of rows to give has 2 entries:
% 0.20/0.50 ; 2 with value (4 15)
% 0.20/0.50 Evaluation took:
% 0.20/0.50 0.031 seconds of real time
% 0.20/0.50 0.024191 seconds of user run time
% 0.20/0.50 0.007074 seconds of system run time
% 0.20/0.50 0 calls to %EVAL
% 0.20/0.50 0 page faults and
% 0.20/0.50 1,674,672 bytes consed.
% 0.20/0.50 :PROOF-FOUND
% 0.20/0.50 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T13:57:44
% 0.20/0.50 :PROOF-FOUND
% 0.20/0.50 *
%------------------------------------------------------------------------------