TSTP Solution File: SEU160+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU160+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n007.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 14:19:39 EDT 2022
% Result : Theorem 40.92s 41.16s
% Output : Refutation 40.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 9 ( 4 unt; 3 nHn; 7 RR)
% Number of literals : 16 ( 9 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 4 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(74,axiom,
( ~ subset(X,singleton(Y))
| X = empty_set
| X = singleton(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l4_zfmisc_1) ).
cnf(82,axiom,
subset(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
cnf(95,axiom,
subset(empty_set,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_xboole_1) ).
cnf(103,negated_conjecture,
( ~ subset('SKOLEMAAAV20',singleton('SKOLEMAAAV21'))
| 'SKOLEMAAAV20' != empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_zfmisc_1) ).
cnf(104,negated_conjecture,
( ~ subset('SKOLEMAAAV20',singleton('SKOLEMAAAV21'))
| 'SKOLEMAAAV20' != singleton('SKOLEMAAAV21') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_zfmisc_1) ).
cnf(105,negated_conjecture,
( subset('SKOLEMAAAV20',singleton('SKOLEMAAAV21'))
| 'SKOLEMAAAV20' = empty_set
| 'SKOLEMAAAV20' = singleton('SKOLEMAAAV21') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_zfmisc_1) ).
cnf(317,plain,
( 'SKOLEMAAAV20' = empty_set
| 'SKOLEMAAAV20' = singleton('SKOLEMAAAV21') ),
inference('HYPERRESOLVE',[status(thm)],[74,105]) ).
cnf(8963,plain,
'SKOLEMAAAV20' = empty_set,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[104,317,theory(equality)]),82,theory(equality)]) ).
cnf(8964,plain,
$false,
inference('REWRITE',[status(thm)],[103,95,8963,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU160+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 19 02:04:13 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T02:04:14
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-06-19T02:04:14
% 0.20/0.51
% 0.20/0.51 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.20/0.51 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.20/0.51 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.20/0.51 ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.20/0.51 ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.20/0.51 ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.20/0.51 ; Declaring unordered_pair to be commutative.
% 0.20/0.51 ; Declaring set_union2 to be commutative.
% 0.20/0.51 ; Declaring set_intersection2 to be commutative.
% 40.92/41.16 ; Declaring disjoint to be commutative.
% 40.92/41.16
% 40.92/41.16 #||
% 40.92/41.16 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 40.92/41.16 % SZS output start Refutation
% See solution above
% 40.92/41.16 ||#
% 40.92/41.16
% 40.92/41.16 ; Summary of computation:
% 40.92/41.16 ; 210120 formulas have been input or derived (from 225 formulas).
% 40.92/41.16 ; 8964 ( 4%) were retained. Of these,
% 40.92/41.16 ; 324 ( 4%) were simplified or subsumed later,
% 40.92/41.16 ; 8640 (96%) are still being kept.
% 40.92/41.16 ;
% 40.92/41.16 ; Run time in seconds excluding printing time:
% 40.92/41.16 ; 0.016 0% Read assertion file (1 call)
% 40.92/41.16 ; 0.006 0% Assert (90 calls)
% 40.92/41.16 ; 1.505 4% Process new row (205,586 calls)
% 40.92/41.16 ; 16.520 41% Resolution (448 calls)
% 40.92/41.16 ; 0.029 0% Paramodulation (224 calls)
% 40.92/41.16 ; 0.000 0% Factoring (26 calls)
% 40.92/41.16 ; 2.337 6% Condensing (146,762 calls)
% 40.92/41.16 ; 8.622 21% Forward subsumption (146,762 calls)
% 40.92/41.16 ; 0.231 1% Backward subsumption (5,020 calls)
% 40.92/41.16 ; 2.206 5% Clause clause subsumption (444,034 calls)
% 40.92/41.16 ; 7.819 19% Forward simplification (205,556 calls)
% 40.92/41.16 ; 0.084 0% Backward simplification (8,961 calls)
% 40.92/41.16 ; 0.545 1% Ordering (229,361 calls)
% 40.92/41.16 ; 0.000 0% Sortal reasoning (32 calls)
% 40.92/41.16 ; 0.001 0% Purity testing (1 call)
% 40.92/41.16 ; 0.747 2% Other
% 40.92/41.16 ; 40.668 Total
% 40.92/41.16 ; 40.676 Real time
% 40.92/41.16 ;
% 40.92/41.16 ; Term-hash-array has 17,488 terms in all.
% 40.92/41.16 ; Feature-vector-row-index has 4,934 entries (4,956 at peak, 5,020 added, 86 deleted).
% 40.92/41.16 ; Feature-vector-row-index has 15,178 nodes (15,307 at peak, 15,552 added, 374 deleted).
% 40.92/41.16 ; Retrieved 1,793,920 possibly forward subsuming rows in 146,762 calls.
% 40.92/41.16 ; Retrieved 11,187 possibly backward subsumed rows in 5,020 calls.
% 40.92/41.16 ; Path-index has 17,114 entries (17,143 at peak, 17,552 added, 438 deleted).
% 40.92/41.16 ; Path-index has 23,821 nodes (23,855 at peak, 23,977 added, 156 deleted).
% 40.92/41.16 ; Trie-index has 17,114 entries (17,143 at peak, 17,552 added, 438 deleted).
% 40.92/41.16 ; Trie-index has 52,385 nodes (52,443 at peak, 53,845 added, 1,460 deleted).
% 40.92/41.16 ; Retrieved 1,164,107 generalization terms in 1,940,272 calls.
% 40.92/41.16 ; Retrieved 7,598 instance terms in 3,941 calls.
% 40.92/41.16 ; Retrieved 30,648,577 unifiable terms in 46,378 calls.
% 40.92/41.16 ;
% 40.92/41.16 ; The agenda of backward simplifiable rows to process has 21 entries:
% 40.92/41.16 ; 21 with value 0
% 40.92/41.16 ; The agenda of rows to process has 74 entries:
% 40.92/41.16 ; 9 with value 14 3 with value 20 1 with value 28
% 40.92/41.16 ; 3 with value 15 2 with value 21 4 with value 29
% 40.92/41.16 ; 8 with value 16 3 with value 22 4 with value 32
% 40.92/41.16 ; 12 with value 17 5 with value 24 4 with value 37
% 40.92/41.16 ; 10 with value 18 2 with value 26 1 with value 38
% 40.92/41.16 ; 3 with value 19
% 40.92/41.16 ; The agenda of rows to give has 8421 entries:
% 40.92/41.16 ; 1 with value (4 6) 156 with value (4 32) 50 with value (4 54)
% 40.92/41.16 ; 56 with value (4 11) 160 with value (4 33) 79 with value (4 55)
% 40.92/41.16 ; 123 with value (4 12) 203 with value (4 34) 49 with value (4 56)
% 40.92/41.16 ; 223 with value (4 13) 171 with value (4 35) 37 with value (4 57)
% 40.92/41.16 ; 321 with value (4 14) 141 with value (4 36) 66 with value (4 58)
% 40.92/41.16 ; 395 with value (4 15) 146 with value (4 37) 31 with value (4 59)
% 40.92/41.16 ; 384 with value (4 16) 146 with value (4 38) 17 with value (4 60)
% 40.92/41.16 ; 398 with value (4 17) 190 with value (4 39) 20 with value (4 61)
% 40.92/41.16 ; 371 with value (4 18) 115 with value (4 40) 15 with value (4 62)
% 40.92/41.16 ; 398 with value (4 19) 126 with value (4 41) 39 with value (4 63)
% 40.92/41.16 ; 350 with value (4 20) 164 with value (4 42) 23 with value (4 64)
% 40.92/41.16 ; 350 with value (4 21) 152 with value (4 43) 4 with value (4 65)
% 40.92/41.16 ; 267 with value (4 22) 118 with value (4 44) 17 with value (4 66)
% 40.92/41.16 ; 256 with value (4 23) 113 with value (4 45) 9 with value (4 67)
% 40.92/41.16 ; 161 with value (4 24) 91 with value (4 46) 2 with value (4 68)
% 40.92/41.16 ; 145 with value (4 25) 131 with value (4 47) 6 with value (4 69)
% 40.92/41.16 ; 185 with value (4 26) 86 with value (4 48) 9 with value (4 71)
% 40.92/41.16 ; 100 with value (4 27) 82 with value (4 49) 10 with value (4 72)
% 40.92/41.16 ; 174 with value (4 28) 111 with value (4 50) 2 with value (4 73)
% 40.92/41.16 ; 139 with value (4 29) 61 with value (4 51) 4 with value (4 74)
% 40.92/41.16 ; 177 with value (4 30) 62 with value (4 52) 1 with value (4 75)
% 40.92/41.16 ; 177 with value (4 31) 55 with value (4 53)
% 40.92/41.16 Evaluation took:
% 40.92/41.16 40.679 seconds of real time
% 40.92/41.16 38.58008 seconds of user run time
% 40.92/41.16 2.091603 seconds of system run time
% 40.92/41.16 [Run times include 3.571 seconds GC run time.]
% 40.92/41.16 0 calls to %EVAL
% 40.92/41.16 0 page faults and
% 40.92/41.16 2,926,539,048 bytes consed.
% 40.92/41.16 :PROOF-FOUND
% 40.92/41.16 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T02:04:54
% 40.92/41.16 :PROOF-FOUND
% 40.92/41.16 *
%------------------------------------------------------------------------------