TSTP Solution File: SET095-7 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET095-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n015.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 05:07:16 EDT 2022
% Result : Unsatisfiable 0.38s 0.63s
% Output : Refutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 6 RR)
% Number of literals : 11 ( 0 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 9 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(transitivity_of_subclass,axiom,
( ~ subclass(X,Y)
| ~ subclass(Y,Z)
| subclass(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_subclass) ).
cnf(singleton_in_unordered_pair1,axiom,
subclass(singleton(X),unordered_pair(X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_in_unordered_pair1) ).
cnf(unordered_pair_is_subset,axiom,
( ~ member(X,Y)
| ~ member(Z,Y)
| subclass(unordered_pair(X,Z),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_is_subset) ).
cnf(prove_property_of_singletons2_1,negated_conjecture,
member(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_property_of_singletons2_1) ).
cnf(prove_property_of_singletons2_2,negated_conjecture,
~ subclass(singleton(x),y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_property_of_singletons2_2) ).
cnf(251,plain,
~ subclass(unordered_pair(x,X),y),
inference('UR-RESOLVE',[status(thm)],[transitivity_of_subclass,singleton_in_unordered_pair1,prove_property_of_singletons2_2]) ).
cnf(431,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[unordered_pair_is_subset,prove_property_of_singletons2_1,prove_property_of_singletons2_1]),251]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET095-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % 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 05:30:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-07-10T05:30:38
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-10T05:30:38
% 0.19/0.51
% 0.19/0.51 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.38/0.63 ; Declaring unordered_pair to be commutative.
% 0.38/0.63
% 0.38/0.63 #||
% 0.38/0.63 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/0.63 % SZS output start Refutation
% See solution above
% 0.38/0.63 ||#
% 0.38/0.63
% 0.38/0.63 ; Summary of computation:
% 0.38/0.63 ; 1054 formulas have been input or derived (from 96 formulas).
% 0.38/0.63 ; 431 (41%) were retained. Of these,
% 0.38/0.63 ; 18 ( 4%) were simplified or subsumed later,
% 0.38/0.63 ; 413 (96%) are still being kept.
% 0.38/0.63 ;
% 0.38/0.63 ; Run time in seconds:
% 0.38/0.63 ; 0.024 15% Read assertion file (1 call)
% 0.38/0.63 ; 0.004 3% Assert (140 calls)
% 0.38/0.63 ; 0.036 23% Process new row (786 calls)
% 0.38/0.63 ; 0.024 15% Resolution (190 calls)
% 0.38/0.63 ; 0.002 1% Paramodulation (95 calls)
% 0.38/0.63 ; 0.000 0% Factoring (11 calls)
% 0.38/0.63 ; 0.006 4% Condensing (368 calls)
% 0.38/0.63 ; 0.013 8% Forward subsumption (368 calls)
% 0.38/0.63 ; 0.004 3% Backward subsumption (280 calls)
% 0.38/0.63 ; 0.001 1% Clause clause subsumption (376 calls)
% 0.38/0.63 ; 0.014 9% Forward simplification (785 calls)
% 0.38/0.63 ; 0.001 1% Backward simplification (419 calls)
% 0.38/0.63 ; 0.002 1% Ordering (813 calls)
% 0.38/0.63 ; 0.000 0% Sortal reasoning (32 calls)
% 0.38/0.63 ; 0.000 0% Purity testing (1 call)
% 0.38/0.63 ; 0.025 16% Other
% 0.38/0.63 ; 0.156 Total
% 0.38/0.63 ; 0.157 Real time
% 0.38/0.63 ;
% 0.38/0.63 ; Term-hash-array has 793 terms in all.
% 0.38/0.63 ; Feature-vector-row-index has 280 entries (280 at peak, 280 added, 0 deleted).
% 0.38/0.63 ; Feature-vector-row-index has 1,365 nodes (1,365 at peak, 1,365 added, 0 deleted).
% 0.38/0.63 ; Retrieved 625 possibly forward subsuming rows in 368 calls.
% 0.38/0.63 ; Retrieved 63 possibly backward subsumed rows in 280 calls.
% 0.38/0.63 ; Path-index has 796 entries (796 at peak, 803 added, 7 deleted).
% 0.38/0.63 ; Path-index has 2,042 nodes (2,042 at peak, 2,049 added, 7 deleted).
% 0.38/0.63 ; Trie-index has 796 entries (796 at peak, 803 added, 7 deleted).
% 0.38/0.63 ; Trie-index has 2,290 nodes (2,290 at peak, 2,308 added, 18 deleted).
% 0.38/0.63 ; Retrieved 708 generalization terms in 2,202 calls.
% 0.38/0.63 ; Retrieved 158 instance terms in 138 calls.
% 0.38/0.63 ; Retrieved 11,690 unifiable terms in 858 calls.
% 0.38/0.63 ;
% 0.38/0.63 ; The agenda of rows to process has 171 entries:
% 0.38/0.63 ; 7 with value 8 20 with value 16 5 with value 24
% 0.38/0.63 ; 1 with value 9 9 with value 17 8 with value 25
% 0.38/0.63 ; 8 with value 10 6 with value 18 4 with value 26
% 0.38/0.63 ; 10 with value 11 11 with value 19 12 with value 27
% 0.38/0.63 ; 4 with value 12 4 with value 20 2 with value 28
% 0.38/0.63 ; 1 with value 13 10 with value 21 2 with value 29
% 0.38/0.63 ; 11 with value 14 16 with value 22 4 with value 30
% 0.38/0.63 ; 10 with value 15 6 with value 23
% 0.38/0.63 ; The agenda of input rows to give has 36 entries:
% 0.38/0.63 ; 2 with value 15 5 with value 20 1 with value 31
% 0.38/0.63 ; 5 with value 16 3 with value 21 1 with value 34
% 0.38/0.63 ; 3 with value 17 4 with value 22 2 with value 35
% 0.38/0.63 ; 5 with value 18 1 with value 27 1 with value 50
% 0.38/0.63 ; 1 with value 19 2 with value 30
% 0.38/0.63 ; The agenda of rows to give has 282 entries:
% 0.38/0.63 ; 2 with value (4 4) 22 with value (4 14) 7 with value (4 22)
% 0.38/0.63 ; 5 with value (4 5) 25 with value (4 15) 14 with value (4 23)
% 0.38/0.63 ; 16 with value (4 7) 20 with value (4 16) 6 with value (4 24)
% 0.38/0.63 ; 19 with value (4 8) 21 with value (4 17) 2 with value (4 25)
% 0.38/0.63 ; 11 with value (4 9) 16 with value (4 18) 3 with value (4 26)
% 0.38/0.63 ; 15 with value (4 10) 18 with value (4 19) 3 with value (4 28)
% 0.38/0.63 ; 10 with value (4 11) 19 with value (4 20) 1 with value (4 29)
% 0.38/0.63 ; 10 with value (4 12) 5 with value (4 21) 2 with value (4 30)
% 0.38/0.63 ; 10 with value (4 13)
% 0.38/0.63 Evaluation took:
% 0.38/0.63 0.158 seconds of real time
% 0.38/0.63 0.145528 seconds of user run time
% 0.38/0.63 0.012304 seconds of system run time
% 0.38/0.63 0 calls to %EVAL
% 0.38/0.63 0 page faults and
% 0.38/0.63 8,815,640 bytes consed.
% 0.38/0.63 :PROOF-FOUND
% 0.38/0.63 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T05:30:38
% 0.38/0.63 :PROOF-FOUND
% 0.38/0.63 *
%------------------------------------------------------------------------------