TSTP Solution File: SEU150+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU150+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 14:19:32 EDT 2022
% Result : Theorem 0.18s 0.54s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 7 unt; 0 nHn; 8 RR)
% Number of literals : 9 ( 8 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 4 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(99,axiom,
( singleton(X) != unordered_pair(Y,Z)
| X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_zfmisc_1) ).
cnf(100,negated_conjecture,
singleton('SKOLEMAAAU14') = unordered_pair('SKOLEMAAAU15','SKOLEMAAAU16'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_zfmisc_1) ).
cnf(101,negated_conjecture,
'SKOLEMAAAU15' != 'SKOLEMAAAU16',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_zfmisc_1) ).
cnf(178,plain,
'SKOLEMAAAU14' = 'SKOLEMAAAU15',
inference('HYPERRESOLVE',[status(thm)],[99,100]) ).
cnf(179,plain,
singleton('SKOLEMAAAU14') = unordered_pair('SKOLEMAAAU14','SKOLEMAAAU16'),
inference('REWRITE',[status(thm)],[100,178,theory(equality)]) ).
cnf(180,plain,
'SKOLEMAAAU14' != 'SKOLEMAAAU16',
inference('REWRITE',[status(thm)],[101,178,theory(equality)]) ).
cnf(187,plain,
singleton('SKOLEMAAAU14') != unordered_pair('SKOLEMAAAU16',X),
inference('UR-RESOLVE',[status(thm)],[99,180]) ).
cnf(188,plain,
$false,
inference('REWRITE',[status(thm)],[179,187]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SEU150+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 20 00:16:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.45 #<PACKAGE "SNARK-USER">
% 0.18/0.45 *
% 0.18/0.45 SNARK-TPTP-OPTIONS
% 0.18/0.45 *
% 0.18/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45 (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/sandbox/benchmark/theBenchmark.p 2022-06-20T00:16:59
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-20T00:16:59
% 0.18/0.48
% 0.18/0.48 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.18/0.48 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.18/0.48 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.18/0.48 ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.18/0.48 ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.18/0.48 ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.18/0.48 ; Declaring unordered_pair to be commutative.
% 0.18/0.48 ; Declaring set_union2 to be commutative.
% 0.18/0.48 ; 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/sandbox/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 ; 465 formulas have been input or derived (from 56 formulas).
% 0.18/0.54 ; 188 (40%) were retained. Of these,
% 0.18/0.54 ; 23 (12%) were simplified or subsumed later,
% 0.18/0.54 ; 165 (88%) are still being kept.
% 0.18/0.54 ;
% 0.18/0.54 ; Run time in seconds excluding printing time:
% 0.18/0.54 ; 0.012 14% Read assertion file (1 call)
% 0.18/0.54 ; 0.005 6% Assert (73 calls)
% 0.18/0.54 ; 0.015 18% Process new row (425 calls)
% 0.18/0.54 ; 0.007 8% Resolution (110 calls)
% 0.18/0.54 ; 0.000 0% Paramodulation (55 calls)
% 0.18/0.54 ; 0.000 0% Factoring (4 calls)
% 0.18/0.54 ; 0.004 5% Condensing (144 calls)
% 0.18/0.54 ; 0.005 6% Forward subsumption (144 calls)
% 0.18/0.54 ; 0.005 6% Backward subsumption (123 calls)
% 0.18/0.54 ; 0.001 1% Clause clause subsumption (96 calls)
% 0.18/0.54 ; 0.007 8% Forward simplification (417 calls)
% 0.18/0.54 ; 0.002 2% Backward simplification (185 calls)
% 0.18/0.54 ; 0.000 0% Ordering (230 calls)
% 0.18/0.54 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.54 ; 0.000 0% Purity testing (1 call)
% 0.18/0.54 ; 0.021 25% Other
% 0.18/0.54 ; 0.084 Total
% 0.18/0.54 ; 0.086 Real time
% 0.18/0.54 ;
% 0.18/0.54 ; Term-hash-array has 260 terms in all.
% 0.18/0.54 ; Feature-vector-row-index has 113 entries (113 at peak, 123 added, 10 deleted).
% 0.18/0.54 ; Feature-vector-row-index has 286 nodes (286 at peak, 307 added, 21 deleted).
% 0.18/0.54 ; Retrieved 86 possibly forward subsuming rows in 144 calls.
% 0.18/0.54 ; Retrieved 15 possibly backward subsumed rows in 123 calls.
% 0.18/0.54 ; Path-index has 243 entries (245 at peak, 273 added, 30 deleted).
% 0.18/0.54 ; Path-index has 452 nodes (454 at peak, 479 added, 27 deleted).
% 0.18/0.54 ; Trie-index has 243 entries (245 at peak, 273 added, 30 deleted).
% 0.18/0.54 ; Trie-index has 539 nodes (543 at peak, 592 added, 53 deleted).
% 0.18/0.54 ; Retrieved 584 generalization terms in 825 calls.
% 0.18/0.54 ; Retrieved 109 instance terms in 62 calls.
% 0.18/0.54 ; Retrieved 4,771 unifiable terms in 425 calls.
% 0.18/0.54 ;
% 0.18/0.54 ; The agenda of rows to process has 1 entry:
% 0.18/0.54 ; 1 with value 9
% 0.18/0.54 ; The agenda of input rows to give has 41 entries:
% 0.18/0.54 ; 1 with value 13 4 with value 18 6 with value 23
% 0.18/0.54 ; 8 with value 14 3 with value 19 2 with value 26
% 0.18/0.54 ; 5 with value 15 4 with value 20 3 with value 31
% 0.18/0.54 ; 2 with value 16 1 with value 22 1 with value 34
% 0.18/0.54 ; 1 with value 17
% 0.18/0.54 ; The agenda of rows to give has 71 entries:
% 0.18/0.54 ; 5 with value (4 5) 8 with value (4 11) 2 with value (4 16)
% 0.18/0.54 ; 1 with value (4 6) 5 with value (4 12) 4 with value (4 17)
% 0.18/0.54 ; 5 with value (4 7) 6 with value (4 13) 4 with value (4 18)
% 0.18/0.54 ; 4 with value (4 8) 4 with value (4 14) 4 with value (4 19)
% 0.18/0.54 ; 3 with value (4 9) 10 with value (4 15) 1 with value (4 20)
% 0.18/0.54 ; 5 with value (4 10)
% 0.18/0.54 Evaluation took:
% 0.18/0.54 0.086 seconds of real time
% 0.18/0.54 0.073803 seconds of user run time
% 0.18/0.54 0.011959 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 4,151,424 bytes consed.
% 0.18/0.54 :PROOF-FOUND
% 0.18/0.54 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T00:16:59
% 0.18/0.54 :PROOF-FOUND
% 0.18/0.54 *
%------------------------------------------------------------------------------