TSTP Solution File: SEU230+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU230+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 14:20:24 EDT 2022
% Result : Theorem 0.48s 0.64s
% Output : Refutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 6 ( 5 unt; 0 nHn; 3 RR)
% Number of literals : 7 ( 1 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 6 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(60,axiom,
succ(X) = set_union2(X,singleton(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_ordinal1) ).
cnf(232,axiom,
( ~ subset(singleton(X),Y)
| in(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2_zfmisc_1) ).
cnf(276,negated_conjecture,
~ in('SKOLEMAAAV75',succ('SKOLEMAAAV75')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_ordinal1) ).
cnf(427,axiom,
subset(X,set_union2(X,Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_xboole_1) ).
cnf(525,plain,
subset(singleton(X),succ(X)),
inference('PARAMODULATE',[status(thm)],[427,60,theory(equality)]) ).
cnf(550,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[232,276]),525]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU230+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n021.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 : Mon Jun 20 11:50:48 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-20T11:50:48
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-20T11:50:48
% 0.19/0.54
% 0.19/0.54 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.19/0.54 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.19/0.55 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.19/0.55 ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.19/0.55 ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.19/0.55 ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.19/0.55 ; Declaring unordered_pair to be commutative.
% 0.19/0.55 ; Declaring set_union2 to be commutative.
% 0.19/0.55 ; Declaring set_intersection2 to be commutative.
% 0.19/0.56 WARNING:
% 0.19/0.56 |are_equipotent| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.64 ; Declaring disjoint to be commutative.
% 0.48/0.64
% 0.48/0.64 #||
% 0.48/0.64 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.64 % SZS output start Refutation
% See solution above
% 0.48/0.64 ||#
% 0.48/0.64
% 0.48/0.64 ; Summary of computation:
% 0.48/0.64 ; 855 formulas have been input or derived (from 89 formulas).
% 0.48/0.64 ; 550 (64%) were retained. Of these,
% 0.48/0.64 ; 47 ( 9%) were simplified or subsumed later,
% 0.48/0.64 ; 503 (91%) are still being kept.
% 0.48/0.64 ;
% 0.48/0.64 ; Run time in seconds:
% 0.48/0.64 ; 0.055 32% Read assertion file (1 call)
% 0.48/0.64 ; 0.018 10% Assert (255 calls)
% 0.48/0.64 ; 0.034 20% Process new row (810 calls)
% 0.48/0.64 ; 0.008 5% Resolution (176 calls)
% 0.48/0.64 ; 0.000 0% Paramodulation (88 calls)
% 0.48/0.64 ; 0.000 0% Factoring (3 calls)
% 0.48/0.64 ; 0.007 4% Condensing (422 calls)
% 0.48/0.64 ; 0.007 4% Forward subsumption (422 calls)
% 0.48/0.64 ; 0.004 2% Backward subsumption (393 calls)
% 0.48/0.64 ; 0.003 2% Clause clause subsumption (217 calls)
% 0.48/0.64 ; 0.008 5% Forward simplification (805 calls)
% 0.48/0.64 ; 0.002 1% Backward simplification (539 calls)
% 0.48/0.64 ; 0.001 1% Ordering (189 calls)
% 0.48/0.64 ; 0.000 0% Sortal reasoning (32 calls)
% 0.48/0.64 ; 0.002 1% Purity testing (1 call)
% 0.48/0.64 ; 0.023 13% Other
% 0.48/0.64 ; 0.172 Total
% 0.48/0.64 ; 0.172 Real time
% 0.48/0.64 ;
% 0.48/0.64 ; Term-hash-array has 865 terms in all.
% 0.48/0.64 ; Feature-vector-row-index has 374 entries (374 at peak, 393 added, 19 deleted).
% 0.48/0.64 ; Feature-vector-row-index has 1,315 nodes (1,315 at peak, 1,361 added, 46 deleted).
% 0.48/0.64 ; Retrieved 382 possibly forward subsuming rows in 422 calls.
% 0.48/0.64 ; Retrieved 195 possibly backward subsumed rows in 393 calls.
% 0.48/0.64 ; Path-index has 843 entries (843 at peak, 880 added, 37 deleted).
% 0.48/0.64 ; Path-index has 2,612 nodes (2,612 at peak, 2,645 added, 33 deleted).
% 0.48/0.64 ; Trie-index has 843 entries (843 at peak, 880 added, 37 deleted).
% 0.48/0.64 ; Trie-index has 2,262 nodes (2,262 at peak, 2,338 added, 76 deleted).
% 0.48/0.64 ; Retrieved 561 generalization terms in 1,437 calls.
% 0.48/0.64 ; Retrieved 201 instance terms in 145 calls.
% 0.48/0.64 ; Retrieved 11,256 unifiable terms in 518 calls.
% 0.48/0.64 ;
% 0.48/0.64 ; The agenda of rows to process has 2 entries:
% 0.48/0.64 ; 1 with value 10 1 with value 11
% 0.48/0.64 ; The agenda of input rows to give has 340 entries:
% 0.48/0.64 ; 11 with value 10 18 with value 23 7 with value 35
% 0.48/0.64 ; 20 with value 11 9 with value 24 2 with value 36
% 0.48/0.64 ; 25 with value 12 9 with value 25 2 with value 37
% 0.48/0.64 ; 22 with value 13 16 with value 26 4 with value 40
% 0.48/0.64 ; 18 with value 14 11 with value 27 7 with value 41
% 0.48/0.64 ; 10 with value 15 6 with value 28 2 with value 42
% 0.48/0.64 ; 26 with value 16 3 with value 29 4 with value 44
% 0.48/0.64 ; 13 with value 17 5 with value 30 1 with value 47
% 0.48/0.64 ; 17 with value 18 6 with value 31 2 with value 48
% 0.48/0.64 ; 11 with value 19 6 with value 32 2 with value 49
% 0.48/0.64 ; 11 with value 20 4 with value 33 2 with value 52
% 0.48/0.64 ; 8 with value 21 7 with value 34 1 with value 68
% 0.48/0.64 ; 12 with value 22
% 0.48/0.64 ; The agenda of rows to give has 82 entries:
% 0.48/0.64 ; 1 with value (4 4) 13 with value (4 8) 4 with value (4 11)
% 0.48/0.64 ; 8 with value (4 5) 9 with value (4 9) 1 with value (4 12)
% 0.48/0.64 ; 12 with value (4 6) 4 with value (4 10) 1 with value (4 13)
% 0.48/0.64 ; 29 with value (4 7)
% 0.48/0.64 Evaluation took:
% 0.48/0.64 0.173 seconds of real time
% 0.48/0.64 0.15298 seconds of user run time
% 0.48/0.64 0.019994 seconds of system run time
% 0.48/0.65 0 calls to %EVAL
% 0.48/0.65 0 page faults and
% 0.48/0.65 10,900,816 bytes consed.
% 0.48/0.65 :PROOF-FOUND
% 0.48/0.65 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-20T11:50:49
% 0.48/0.65 :PROOF-FOUND
% 0.48/0.65 *
%------------------------------------------------------------------------------