TSTP Solution File: SET909+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET909+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n013.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 05:13:18 EDT 2022
% Result : Theorem 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 11 ( 7 unt; 1 nHn; 10 RR)
% Number of literals : 17 ( 10 equ; 8 neg)
% Maximal clause size : 3 ( 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; 0-2 aty)
% Number of variables : 14 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( X != empty_set
| ~ in(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0) ).
cnf(3,axiom,
( X = empty_set
| in('SKOLEMAAAV1'(X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0) ).
cnf(5,axiom,
( X != unordered_pair(Y,Z)
| in(U,X)
| U != Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_tarski) ).
cnf(10,axiom,
( X != set_union2(Y,Z)
| in(U,X)
| ~ in(U,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_xboole_0) ).
cnf(19,negated_conjecture,
set_union2(unordered_pair('SKOLEMAAAV6','SKOLEMAAAV7'),'SKOLEMAAAV8') = empty_set,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t50_zfmisc_1) ).
cnf(20,plain,
~ in(X,empty_set),
inference('UR-RESOLVE',[status(thm)],[2,theory(equality)]) ).
cnf(25,plain,
'SKOLEMAAAV8' = empty_set,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[10,19,3]),20]) ).
cnf(26,plain,
set_union2(unordered_pair('SKOLEMAAAV6','SKOLEMAAAV7'),empty_set) = empty_set,
inference('REWRITE',[status(thm)],[19,25,theory(equality)]) ).
cnf(30,plain,
unordered_pair('SKOLEMAAAV6','SKOLEMAAAV7') = empty_set,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[10,26,3]),20]) ).
cnf(58,plain,
unordered_pair(X,Y) != empty_set,
inference('UR-RESOLVE',[status(thm)],[5,20,theory(equality)]) ).
cnf(59,plain,
$false,
inference('REWRITE',[status(thm)],[30,58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET909+1 : TPTP v8.1.0. Released v3.2.0.
% 0.14/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n013.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun Jul 10 16:33:59 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T16:34:00
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-10T16:34:00
% 0.21/0.49
% 0.21/0.49 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.21/0.49 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.21/0.49 ; Declaring unordered_pair to be commutative.
% 0.21/0.54 ; Declaring set_union2 to be commutative.
% 0.21/0.54
% 0.21/0.54 #||
% 0.21/0.54 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.54 % SZS output start Refutation
% See solution above
% 0.21/0.55 ||#
% 0.21/0.55
% 0.21/0.55 ; Summary of computation:
% 0.21/0.55 ; 209 formulas have been input or derived (from 23 formulas).
% 0.21/0.55 ; 59 (28%) were retained. Of these,
% 0.21/0.55 ; 10 (17%) were simplified or subsumed later,
% 0.21/0.55 ; 49 (83%) are still being kept.
% 0.21/0.55 ;
% 0.21/0.55 ; Run time in seconds excluding printing time:
% 0.21/0.55 ; 0.003 5% Read assertion file (1 call)
% 0.21/0.55 ; 0.001 2% Assert (13 calls)
% 0.21/0.55 ; 0.006 9% Process new row (167 calls)
% 0.21/0.55 ; 0.008 12% Resolution (44 calls)
% 0.21/0.55 ; 0.000 0% Paramodulation (22 calls)
% 0.21/0.55 ; 0.000 0% Factoring (4 calls)
% 0.21/0.55 ; 0.006 9% Condensing (97 calls)
% 0.21/0.55 ; 0.003 5% Forward subsumption (97 calls)
% 0.21/0.55 ; 0.003 5% Backward subsumption (43 calls)
% 0.21/0.55 ; 0.004 6% Clause clause subsumption (179 calls)
% 0.21/0.55 ; 0.005 8% Forward simplification (160 calls)
% 0.21/0.55 ; 0.000 0% Backward simplification (59 calls)
% 0.21/0.55 ; 0.001 2% Ordering (447 calls)
% 0.21/0.55 ; 0.000 0% Sortal reasoning (32 calls)
% 0.21/0.55 ; 0.000 0% Purity testing (1 call)
% 0.21/0.55 ; 0.025 38% Other
% 0.21/0.55 ; 0.065 Total
% 0.21/0.55 ; 0.067 Real time
% 0.21/0.55 ;
% 0.21/0.55 ; Term-hash-array has 163 terms in all.
% 0.21/0.55 ; Feature-vector-row-index has 39 entries (42 at peak, 43 added, 4 deleted).
% 0.21/0.55 ; Feature-vector-row-index has 121 nodes (140 at peak, 146 added, 25 deleted).
% 0.21/0.55 ; Retrieved 251 possibly forward subsuming rows in 97 calls.
% 0.21/0.55 ; Retrieved 27 possibly backward subsumed rows in 43 calls.
% 0.21/0.55 ; Path-index has 146 entries (162 at peak, 169 added, 23 deleted).
% 0.21/0.55 ; Path-index has 146 nodes (158 at peak, 175 added, 29 deleted).
% 0.21/0.55 ; Trie-index has 146 entries (162 at peak, 169 added, 23 deleted).
% 0.21/0.55 ; Trie-index has 254 nodes (284 at peak, 308 added, 54 deleted).
% 0.21/0.55 ; Retrieved 222 generalization terms in 417 calls.
% 0.21/0.55 ; Retrieved 20 instance terms in 15 calls.
% 0.21/0.55 ; Retrieved 2,892 unifiable terms in 248 calls.
% 0.21/0.55 ;
% 0.21/0.55 ; The agenda of backward simplifiable rows to process has 3 entries:
% 0.21/0.55 ; 3 with value 0
% 0.21/0.55 ; The agenda of rows to process has 10 entries:
% 0.21/0.55 ; 3 with value 9 1 with value 14 4 with value 25
% 0.21/0.55 ; 1 with value 12 1 with value 17
% 0.21/0.55 ; The agenda of rows to give has 28 entries:
% 0.21/0.55 ; 1 with value (4 5) 2 with value (4 16) 4 with value (4 34)
% 0.21/0.55 ; 1 with value (4 7) 1 with value (4 21) 2 with value (4 43)
% 0.21/0.55 ; 1 with value (4 8) 3 with value (4 24) 4 with value (4 54)
% 0.21/0.55 ; 1 with value (4 9) 2 with value (4 26) 4 with value (4 55)
% 0.21/0.55 ; 2 with value (4 13)
% 0.21/0.55 Evaluation took:
% 0.21/0.55 0.068 seconds of real time
% 0.21/0.55 0.059848 seconds of user run time
% 0.21/0.55 0.008135 seconds of system run time
% 0.21/0.55 0 calls to %EVAL
% 0.21/0.55 0 page faults and
% 0.21/0.55 3,779,152 bytes consed.
% 0.21/0.55 :PROOF-FOUND
% 0.21/0.55 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T16:34:00
% 0.21/0.55 :PROOF-FOUND
% 0.21/0.55 *
%------------------------------------------------------------------------------