TSTP Solution File: SET098-7 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET098-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 05:07:20 EDT 2022
% Result : Unsatisfiable 0.60s 0.79s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 7 ( 5 unt; 1 nHn; 6 RR)
% Number of literals : 10 ( 4 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 5 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(intersection2,axiom,
( ~ member(X,intersection(Y,Z))
| member(X,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection2) ).
cnf(number_of_elements_in_class,axiom,
( member(not_subclass_element(intersection(complement(singleton(not_subclass_element(X,null_class))),X),null_class),intersection(complement(singleton(not_subclass_element(X,null_class))),X))
| singleton(not_subclass_element(X,null_class)) = X
| X = null_class ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',number_of_elements_in_class) ).
cnf(prove_corollary_1_to_number_of_elements_in_class_1,negated_conjecture,
~ member(not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_1_to_number_of_elements_in_class_1) ).
cnf(prove_corollary_1_to_number_of_elements_in_class_2,negated_conjecture,
singleton(not_subclass_element(x,null_class)) != x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_1_to_number_of_elements_in_class_2) ).
cnf(prove_corollary_1_to_number_of_elements_in_class_3,negated_conjecture,
x != null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_1_to_number_of_elements_in_class_3) ).
cnf(634,plain,
~ member(not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),intersection(X,x)),
inference('UR-RESOLVE',[status(thm)],[intersection2,prove_corollary_1_to_number_of_elements_in_class_1]) ).
cnf(778,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[number_of_elements_in_class,prove_corollary_1_to_number_of_elements_in_class_2,prove_corollary_1_to_number_of_elements_in_class_3]),634]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SET098-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.13/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jul 10 03:07:16 EDT 2022
% 0.20/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T03:07:16
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-07-10T03:07:16
% 0.20/0.53
% 0.20/0.53 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.60/0.79 ; Declaring unordered_pair to be commutative.
% 0.60/0.79
% 0.60/0.79 #||
% 0.60/0.79 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.79 % SZS output start Refutation
% See solution above
% 0.60/0.79 ||#
% 0.60/0.79
% 0.60/0.79 ; Summary of computation:
% 0.60/0.79 ; 1884 formulas have been input or derived (from 135 formulas).
% 0.60/0.79 ; 778 (41%) were retained. Of these,
% 0.60/0.79 ; 18 ( 2%) were simplified or subsumed later,
% 0.60/0.79 ; 760 (98%) are still being kept.
% 0.60/0.79 ;
% 0.60/0.79 ; Run time in seconds excluding printing time:
% 0.60/0.79 ; 0.025 8% Read assertion file (1 call)
% 0.60/0.79 ; 0.004 1% Assert (144 calls)
% 0.60/0.79 ; 0.058 19% Process new row (1,690 calls)
% 0.60/0.79 ; 0.039 13% Resolution (268 calls)
% 0.60/0.79 ; 0.005 2% Paramodulation (134 calls)
% 0.60/0.79 ; 0.000 0% Factoring (13 calls)
% 0.60/0.79 ; 0.018 6% Condensing (844 calls)
% 0.60/0.79 ; 0.047 15% Forward subsumption (844 calls)
% 0.60/0.79 ; 0.023 8% Backward subsumption (570 calls)
% 0.60/0.79 ; 0.010 3% Clause clause subsumption (1,219 calls)
% 0.60/0.79 ; 0.035 11% Forward simplification (1,689 calls)
% 0.60/0.79 ; 0.003 1% Backward simplification (766 calls)
% 0.60/0.79 ; 0.006 2% Ordering (2,341 calls)
% 0.60/0.79 ; 0.001 0% Sortal reasoning (32 calls)
% 0.60/0.79 ; 0.000 0% Purity testing (1 call)
% 0.60/0.79 ; 0.032 10% Other
% 0.60/0.79 ; 0.306 Total
% 0.60/0.79 ; 0.307 Real time
% 0.60/0.79 ;
% 0.60/0.79 ; Term-hash-array has 1,536 terms in all.
% 0.60/0.79 ; Feature-vector-row-index has 570 entries (570 at peak, 570 added, 0 deleted).
% 0.60/0.79 ; Feature-vector-row-index has 2,986 nodes (2,986 at peak, 2,986 added, 0 deleted).
% 0.60/0.79 ; Retrieved 2,031 possibly forward subsuming rows in 844 calls.
% 0.60/0.79 ; Retrieved 164 possibly backward subsumed rows in 570 calls.
% 0.60/0.79 ; Path-index has 1,538 entries (1,538 at peak, 1,545 added, 7 deleted).
% 0.60/0.79 ; Path-index has 3,428 nodes (3,428 at peak, 3,435 added, 7 deleted).
% 0.60/0.79 ; Trie-index has 1,538 entries (1,538 at peak, 1,545 added, 7 deleted).
% 0.60/0.79 ; Trie-index has 4,688 nodes (4,688 at peak, 4,706 added, 18 deleted).
% 0.60/0.79 ; Retrieved 1,779 generalization terms in 6,212 calls.
% 0.60/0.79 ; Retrieved 217 instance terms in 195 calls.
% 0.60/0.79 ; Retrieved 29,503 unifiable terms in 1,373 calls.
% 0.60/0.79 ;
% 0.60/0.79 ; The agenda of rows to process has 60 entries:
% 0.60/0.79 ; 2 with value 31 2 with value 47 1 with value 59
% 0.60/0.79 ; 1 with value 35 5 with value 48 3 with value 60
% 0.60/0.79 ; 1 with value 37 4 with value 49 1 with value 61
% 0.60/0.79 ; 1 with value 39 2 with value 50 1 with value 62
% 0.60/0.79 ; 4 with value 42 4 with value 53 4 with value 63
% 0.60/0.79 ; 4 with value 43 2 with value 54 2 with value 69
% 0.60/0.79 ; 2 with value 44 4 with value 55 1 with value 76
% 0.60/0.79 ; 1 with value 45 2 with value 58 4 with value 79
% 0.60/0.79 ; 2 with value 46
% 0.60/0.79 ; The agenda of input rows to give has 1 entry:
% 0.60/0.79 ; 1 with value 50
% 0.60/0.79 ; The agenda of rows to give has 625 entries:
% 0.60/0.79 ; 2 with value (4 4) 35 with value (4 20) 8 with value (4 35)
% 0.60/0.79 ; 3 with value (4 5) 26 with value (4 21) 3 with value (4 37)
% 0.60/0.79 ; 16 with value (4 7) 22 with value (4 22) 1 with value (4 38)
% 0.60/0.79 ; 19 with value (4 8) 39 with value (4 23) 2 with value (4 39)
% 0.60/0.79 ; 12 with value (4 9) 32 with value (4 24) 1 with value (4 41)
% 0.60/0.79 ; 20 with value (4 10) 18 with value (4 25) 1 with value (4 42)
% 0.60/0.79 ; 10 with value (4 11) 15 with value (4 26) 1 with value (4 43)
% 0.60/0.79 ; 21 with value (4 12) 12 with value (4 27) 1 with value (4 44)
% 0.60/0.79 ; 25 with value (4 13) 13 with value (4 28) 1 with value (4 45)
% 0.60/0.79 ; 27 with value (4 14) 17 with value (4 29) 3 with value (4 46)
% 0.60/0.79 ; 28 with value (4 15) 13 with value (4 30) 1 with value (4 49)
% 0.60/0.79 ; 32 with value (4 16) 7 with value (4 31) 1 with value (4 51)
% 0.60/0.79 ; 34 with value (4 17) 11 with value (4 32) 1 with value (4 53)
% 0.60/0.79 ; 45 with value (4 18) 2 with value (4 33) 1 with value (4 59)
% 0.60/0.79 ; 40 with value (4 19) 2 with value (4 34) 1 with value (4 63)
% 0.60/0.79 Evaluation took:
% 0.60/0.79 0.308 seconds of real time
% 0.60/0.79 0.28195 seconds of user run time
% 0.60/0.79 0.026042 seconds of system run time
% 0.60/0.79 [Run times include 0.013 seconds GC run time.]
% 0.60/0.79 0 calls to %EVAL
% 0.60/0.79 0 page faults and
% 0.60/0.79 19,341,472 bytes consed.
% 0.60/0.79 :PROOF-FOUND
% 0.60/0.79 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T03:07:16
% 0.60/0.79 :PROOF-FOUND
% 0.60/0.79 *
%------------------------------------------------------------------------------