TSTP Solution File: SEU247+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU247+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n014.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 14:20:36 EDT 2022
% Result : Theorem 1.37s 1.53s
% Output : Refutation 1.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 10 ( 7 unt; 0 nHn; 4 RR)
% Number of literals : 13 ( 8 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(412,axiom,
( ~ relation(X)
| relation_dom_restriction(relation_rng_restriction(Y,X),Z) = relation_rng_restriction(Y,relation_dom_restriction(X,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t140_relat_1) ).
cnf(434,axiom,
( ~ relation(X)
| relation_restriction(X,Y) = relation_dom_restriction(relation_rng_restriction(Y,X),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_wellord1) ).
cnf(436,negated_conjecture,
relation('SKOLEMAAAV105'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_wellord1) ).
cnf(437,negated_conjecture,
relation_restriction('SKOLEMAAAV105','SKOLEMAAAV104') != relation_rng_restriction('SKOLEMAAAV104',relation_dom_restriction('SKOLEMAAAV105','SKOLEMAAAV104')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_wellord1) ).
cnf(587,axiom,
( ~ relation(X)
| relation_dom_restriction(X,Y) = relation_composition(identity_relation(Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t94_relat_1) ).
cnf(2076,plain,
relation_dom_restriction('SKOLEMAAAV105',X) = relation_composition(identity_relation(X),'SKOLEMAAAV105'),
inference('HYPERRESOLVE',[status(thm)],[587,436]) ).
cnf(2079,plain,
relation_restriction('SKOLEMAAAV105','SKOLEMAAAV104') != relation_rng_restriction('SKOLEMAAAV104',relation_composition(identity_relation('SKOLEMAAAV104'),'SKOLEMAAAV105')),
inference('REWRITE',[status(thm)],[437,2076,theory(equality)]) ).
cnf(2248,plain,
relation_restriction('SKOLEMAAAV105',X) = relation_dom_restriction(relation_rng_restriction(X,'SKOLEMAAAV105'),X),
inference('HYPERRESOLVE',[status(thm)],[434,436]) ).
cnf(3408,plain,
relation_dom_restriction(relation_rng_restriction(X,'SKOLEMAAAV105'),Y) = relation_rng_restriction(X,relation_composition(identity_relation(Y),'SKOLEMAAAV105')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[412,436]),2076,theory(equality)]) ).
cnf(3409,plain,
$false,
inference('REWRITE',[status(thm)],[2079,2248,3408,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SEU247+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n014.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 : Sun Jun 19 22:35:33 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T22:35:33
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-06-19T22:35:33
% 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).
% 0.19/0.56 ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.19/0.56 ; Declaring unordered_pair to be commutative.
% 0.19/0.56 ; Declaring set_union2 to be commutative.
% 0.19/0.56 ; 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.
% 1.37/1.53 ; Declaring disjoint to be commutative.
% 1.37/1.53
% 1.37/1.53 #||
% 1.37/1.53 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.37/1.53 % SZS output start Refutation
% See solution above
% 1.37/1.53 ||#
% 1.37/1.53
% 1.37/1.53 ; Summary of computation:
% 1.37/1.53 ; 11637 formulas have been input or derived (from 344 formulas).
% 1.37/1.53 ; 3409 (29%) were retained. Of these,
% 1.37/1.53 ; 202 ( 6%) were simplified or subsumed later,
% 1.37/1.53 ; 3207 (94%) are still being kept.
% 1.37/1.53 ;
% 1.37/1.53 ; Run time in seconds excluding printing time:
% 1.37/1.53 ; 0.068 6% Read assertion file (1 call)
% 1.37/1.53 ; 0.019 2% Assert (305 calls)
% 1.37/1.53 ; 0.234 22% Process new row (11,252 calls)
% 1.37/1.53 ; 0.301 28% Resolution (686 calls)
% 1.37/1.53 ; 0.003 0% Paramodulation (343 calls)
% 1.37/1.53 ; 0.000 0% Factoring (14 calls)
% 1.37/1.53 ; 0.026 2% Condensing (4,209 calls)
% 1.37/1.53 ; 0.080 7% Forward subsumption (4,209 calls)
% 1.37/1.53 ; 0.078 7% Backward subsumption (2,309 calls)
% 1.37/1.53 ; 0.030 3% Clause clause subsumption (4,905 calls)
% 1.37/1.53 ; 0.137 13% Forward simplification (11,246 calls)
% 1.37/1.53 ; 0.017 2% Backward simplification (3,397 calls)
% 1.37/1.53 ; 0.011 1% Ordering (4,453 calls)
% 1.37/1.53 ; 0.000 0% Sortal reasoning (32 calls)
% 1.37/1.53 ; 0.002 0% Purity testing (1 call)
% 1.37/1.53 ; 0.065 6% Other
% 1.37/1.53 ; 1.071 Total
% 1.37/1.53 ; 1.075 Real time
% 1.37/1.53 ;
% 1.37/1.53 ; Term-hash-array has 6,680 terms in all.
% 1.37/1.53 ; Feature-vector-row-index has 2,269 entries (2,269 at peak, 2,309 added, 40 deleted).
% 1.37/1.53 ; Feature-vector-row-index has 8,753 nodes (8,753 at peak, 8,870 added, 117 deleted).
% 1.37/1.53 ; Retrieved 10,711 possibly forward subsuming rows in 4,209 calls.
% 1.37/1.53 ; Retrieved 1,005 possibly backward subsumed rows in 2,309 calls.
% 1.37/1.53 ; Path-index has 6,454 entries (6,489 at peak, 6,734 added, 280 deleted).
% 1.37/1.53 ; Path-index has 11,724 nodes (11,822 at peak, 12,157 added, 433 deleted).
% 1.37/1.53 ; Trie-index has 6,454 entries (6,489 at peak, 6,734 added, 280 deleted).
% 1.37/1.53 ; Trie-index has 17,491 nodes (17,731 at peak, 18,469 added, 978 deleted).
% 1.37/1.53 ; Retrieved 28,801 generalization terms in 47,097 calls.
% 1.37/1.53 ; Retrieved 1,288 instance terms in 1,088 calls.
% 1.37/1.53 ; Retrieved 475,157 unifiable terms in 6,715 calls.
% 1.37/1.53 ;
% 1.37/1.53 ; The agenda of backward simplifiable rows to process has 15 entries:
% 1.37/1.53 ; 15 with value 0
% 1.37/1.53 ; The agenda of rows to process has 14 entries:
% 1.37/1.53 ; 13 with value 15 1 with value 18
% 1.37/1.53 ; The agenda of input rows to give has 231 entries:
% 1.37/1.53 ; 7 with value 17 13 with value 27 2 with value 37
% 1.37/1.53 ; 20 with value 18 6 with value 28 5 with value 40
% 1.37/1.53 ; 20 with value 19 3 with value 29 7 with value 41
% 1.37/1.53 ; 13 with value 20 5 with value 30 2 with value 42
% 1.37/1.53 ; 10 with value 21 6 with value 31 4 with value 44
% 1.37/1.53 ; 13 with value 22 6 with value 32 1 with value 47
% 1.37/1.53 ; 21 with value 23 6 with value 33 2 with value 48
% 1.37/1.53 ; 10 with value 24 7 with value 34 2 with value 49
% 1.37/1.53 ; 10 with value 25 7 with value 35 2 with value 52
% 1.37/1.53 ; 17 with value 26 3 with value 36 1 with value 68
% 1.37/1.53 ; The agenda of rows to give has 2649 entries:
% 1.37/1.53 ; 5 with value (4 4) 168 with value (4 16) 33 with value (4 27)
% 1.37/1.53 ; 16 with value (4 5) 139 with value (4 17) 21 with value (4 28)
% 1.37/1.53 ; 41 with value (4 6) 192 with value (4 18) 10 with value (4 29)
% 1.37/1.53 ; 165 with value (4 7) 167 with value (4 19) 10 with value (4 30)
% 1.37/1.53 ; 51 with value (4 8) 137 with value (4 20) 4 with value (4 31)
% 1.37/1.53 ; 132 with value (4 9) 136 with value (4 21) 8 with value (4 32)
% 1.37/1.53 ; 152 with value (4 10) 61 with value (4 22) 3 with value (4 33)
% 1.37/1.53 ; 162 with value (4 11) 89 with value (4 23) 7 with value (4 35)
% 1.37/1.53 ; 211 with value (4 12) 100 with value (4 24) 2 with value (4 36)
% 1.37/1.53 ; 124 with value (4 13) 34 with value (4 25) 3 with value (4 37)
% 1.37/1.53 ; 111 with value (4 14) 63 with value (4 26) 1 with value (4 38)
% 1.37/1.53 ; 91 with value (4 15)
% 1.37/1.53 Evaluation took:
% 1.37/1.53 1.076 seconds of real time
% 1.37/1.53 0.97254 seconds of user run time
% 1.37/1.53 0.101122 seconds of system run time
% 1.37/1.53 [Run times include 0.087 seconds GC run time.]
% 1.37/1.53 0 calls to %EVAL
% 1.37/1.53 0 page faults and
% 1.37/1.53 80,606,440 bytes consed.
% 1.37/1.53 :PROOF-FOUND
% 1.37/1.53 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T22:35:34
% 1.37/1.53 :PROOF-FOUND
% 1.37/1.53 *
%------------------------------------------------------------------------------