%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU158+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n011.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 14:19:38 EDT 2022
% Result : Theorem 0.18s 0.54s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 3 unt; 1 nHn; 7 RR)
% Number of literals : 11 ( 0 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(69,axiom,
( ~ subset(singleton(X),Y)
| in(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2_zfmisc_1) ).
cnf(70,axiom,
( subset(singleton(X),Y)
| ~ in(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2_zfmisc_1) ).
cnf(100,negated_conjecture,
( ~ subset(singleton('SKOLEMAAAV20'),'SKOLEMAAAV21')
| ~ in('SKOLEMAAAV20','SKOLEMAAAV21') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_zfmisc_1) ).
cnf(101,negated_conjecture,
( subset(singleton('SKOLEMAAAV20'),'SKOLEMAAAV21')
| in('SKOLEMAAAV20','SKOLEMAAAV21') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_zfmisc_1) ).
cnf(162,plain,
in('SKOLEMAAAV20','SKOLEMAAAV21'),
inference('HYPERRESOLVE',[status(thm)],[69,101]) ).
cnf(163,plain,
~ subset(singleton('SKOLEMAAAV20'),'SKOLEMAAAV21'),
inference('REWRITE',[status(thm)],[100,162]) ).
cnf(164,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[70,163]),162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU158+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n011.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 : Mon Jun 20 13:45:24 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.46 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-20T13:45:24
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-06-20T13:45:24
% 0.18/0.49
% 0.18/0.49 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.18/0.49 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.18/0.49 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.18/0.49 ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.18/0.49 ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.18/0.49 ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.18/0.49 ; Declaring unordered_pair to be commutative.
% 0.18/0.49 ; Declaring set_union2 to be commutative.
% 0.18/0.49 ; Declaring set_intersection2 to be commutative.
% 0.18/0.54 ; Declaring disjoint to be commutative.
% 0.18/0.54
% 0.18/0.54 #||
% 0.18/0.54 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.54 % SZS output start Refutation
% See solution above
% 0.18/0.54 ||#
% 0.18/0.54
% 0.18/0.54 ; Summary of computation:
% 0.18/0.54 ; 294 formulas have been input or derived (from 39 formulas).
% 0.18/0.54 ; 164 (56%) were retained. Of these,
% 0.18/0.54 ; 20 (12%) were simplified or subsumed later,
% 0.18/0.54 ; 144 (88%) are still being kept.
% 0.18/0.54 ;
% 0.18/0.54 ; Run time in seconds excluding printing time:
% 0.18/0.54 ; 0.015 19% Read assertion file (1 call)
% 0.18/0.54 ; 0.005 6% Assert (88 calls)
% 0.18/0.54 ; 0.017 22% Process new row (271 calls)
% 0.18/0.54 ; 0.003 4% Resolution (76 calls)
% 0.18/0.54 ; 0.001 1% Paramodulation (38 calls)
% 0.18/0.54 ; 0.000 0% Factoring (3 calls)
% 0.18/0.54 ; 0.003 4% Condensing (129 calls)
% 0.18/0.54 ; 0.003 4% Forward subsumption (129 calls)
% 0.18/0.54 ; 0.001 1% Backward subsumption (119 calls)
% 0.18/0.54 ; 0.000 0% Clause clause subsumption (62 calls)
% 0.18/0.54 ; 0.001 1% Forward simplification (269 calls)
% 0.18/0.54 ; 0.000 0% Backward simplification (161 calls)
% 0.18/0.54 ; 0.001 1% Ordering (128 calls)
% 0.18/0.54 ; 0.001 1% Sortal reasoning (32 calls)
% 0.18/0.54 ; 0.000 0% Purity testing (1 call)
% 0.18/0.54 ; 0.026 34% Other
% 0.18/0.54 ; 0.077 Total
% 0.18/0.54 ; 0.079 Real time
% 0.18/0.54 ;
% 0.18/0.54 ; Term-hash-array has 225 terms in all.
% 0.18/0.54 ; Feature-vector-row-index has 107 entries (109 at peak, 119 added, 12 deleted).
% 0.18/0.54 ; Feature-vector-row-index has 275 nodes (293 at peak, 309 added, 34 deleted).
% 0.18/0.54 ; Retrieved 48 possibly forward subsuming rows in 129 calls.
% 0.18/0.54 ; Retrieved 27 possibly backward subsumed rows in 119 calls.
% 0.18/0.54 ; Path-index has 215 entries (215 at peak, 236 added, 21 deleted).
% 0.18/0.54 ; Path-index has 559 nodes (559 at peak, 573 added, 14 deleted).
% 0.18/0.54 ; Trie-index has 215 entries (215 at peak, 236 added, 21 deleted).
% 0.18/0.54 ; Trie-index has 507 nodes (507 at peak, 541 added, 34 deleted).
% 0.18/0.54 ; Retrieved 243 generalization terms in 399 calls.
% 0.18/0.54 ; Retrieved 78 instance terms in 41 calls.
% 0.18/0.54 ; Retrieved 2,705 unifiable terms in 213 calls.
% 0.18/0.54 ;
% 0.18/0.54 ; The agenda of rows to process has 2 entries:
% 0.18/0.54 ; 2 with value 7
% 0.18/0.54 ; The agenda of input rows to give has 85 entries:
% 0.18/0.54 ; 1 with value 10 5 with value 17 1 with value 25
% 0.18/0.54 ; 10 with value 11 5 with value 18 3 with value 26
% 0.18/0.54 ; 11 with value 12 5 with value 19 3 with value 31
% 0.18/0.54 ; 7 with value 13 5 with value 20 1 with value 32
% 0.18/0.54 ; 8 with value 14 2 with value 22 1 with value 33
% 0.18/0.54 ; 5 with value 15 8 with value 23 1 with value 34
% 0.18/0.54 ; 2 with value 16 1 with value 24
% 0.18/0.54 ; The agenda of rows to give has 23 entries:
% 0.18/0.54 ; 4 with value (4 5) 2 with value (4 8) 2 with value (4 12)
% 0.18/0.54 ; 1 with value (4 6) 3 with value (4 10) 4 with value (4 13)
% 0.18/0.54 ; 5 with value (4 7) 2 with value (4 11)
% 0.18/0.54 Evaluation took:
% 0.18/0.54 0.08 seconds of real time
% 0.18/0.54 0.070334 seconds of user run time
% 0.18/0.54 0.009092 seconds of system run time
% 0.18/0.54 0 calls to %EVAL
% 0.18/0.54 0 page faults and
% 0.18/0.54 3,967,272 bytes consed.
% 0.18/0.54 :PROOF-FOUND
% 0.18/0.54 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-20T13:45:24
% 0.18/0.54 :PROOF-FOUND
% 0.18/0.54 *
%------------------------------------------------------------------------------