TSTP Solution File: SEU149+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU149+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 14:19:31 EDT 2022
% Result : Theorem 0.37s 0.56s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 6 ( 4 unt; 0 nHn; 6 RR)
% Number of literals : 10 ( 6 equ; 6 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 7 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
( X != singleton(Y)
| ~ in(Z,X)
| Z = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).
cnf(16,axiom,
( X != unordered_pair(Y,Z)
| in(U,X)
| U != Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_tarski) ).
cnf(99,negated_conjecture,
singleton('SKOLEMAAAV14') = unordered_pair('SKOLEMAAAV15','SKOLEMAAAV16'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_zfmisc_1) ).
cnf(100,negated_conjecture,
'SKOLEMAAAV14' != 'SKOLEMAAAV15',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_zfmisc_1) ).
cnf(181,plain,
~ in('SKOLEMAAAV15',singleton('SKOLEMAAAV14')),
inference('UR-RESOLVE',[status(thm)],[5,100,theory(equality)]) ).
cnf(205,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[16,99,theory(equality)]),181]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU149+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n024.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 07:20:47 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (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/sandbox2/benchmark/theBenchmark.p 2022-06-19T07:20:47
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-19T07:20:47
% 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)).
% 0.18/0.49 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.18/0.49 ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.18/0.49 ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.18/0.49 ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.18/0.49 ; Declaring unordered_pair to be commutative.
% 0.18/0.49 ; Declaring set_union2 to be commutative.
% 0.18/0.49 ; Declaring set_intersection2 to be commutative.
% 0.37/0.56 ; Declaring disjoint to be commutative.
% 0.37/0.56
% 0.37/0.56 #||
% 0.37/0.56 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.56 % SZS output start Refutation
% See solution above
% 0.37/0.56 ||#
% 0.37/0.56
% 0.37/0.56 ; Summary of computation:
% 0.37/0.56 ; 1074 formulas have been input or derived (from 64 formulas).
% 0.37/0.56 ; 205 (19%) were retained. Of these,
% 0.37/0.56 ; 20 (10%) were simplified or subsumed later,
% 0.37/0.56 ; 185 (90%) are still being kept.
% 0.37/0.56 ;
% 0.37/0.56 ; Run time in seconds:
% 0.37/0.56 ; 0.013 13% Read assertion file (1 call)
% 0.37/0.56 ; 0.004 4% Assert (72 calls)
% 0.37/0.56 ; 0.012 12% Process new row (779 calls)
% 0.37/0.56 ; 0.015 15% Resolution (126 calls)
% 0.37/0.56 ; 0.002 2% Paramodulation (63 calls)
% 0.37/0.56 ; 0.000 0% Factoring (4 calls)
% 0.37/0.56 ; 0.006 6% Condensing (182 calls)
% 0.37/0.56 ; 0.005 5% Forward subsumption (182 calls)
% 0.37/0.56 ; 0.001 1% Backward subsumption (135 calls)
% 0.37/0.56 ; 0.002 2% Clause clause subsumption (148 calls)
% 0.37/0.56 ; 0.012 12% Forward simplification (778 calls)
% 0.37/0.56 ; 0.001 1% Backward simplification (202 calls)
% 0.37/0.56 ; 0.000 0% Ordering (308 calls)
% 0.37/0.56 ; 0.000 0% Sortal reasoning (32 calls)
% 0.37/0.56 ; 0.000 0% Purity testing (1 call)
% 0.37/0.56 ; 0.028 28% Other
% 0.37/0.56 ; 0.101 Total
% 0.37/0.56 ; 0.102 Real time
% 0.37/0.56 ;
% 0.37/0.56 ; Term-hash-array has 290 terms in all.
% 0.37/0.56 ; Feature-vector-row-index has 125 entries (125 at peak, 135 added, 10 deleted).
% 0.37/0.56 ; Feature-vector-row-index has 310 nodes (310 at peak, 331 added, 21 deleted).
% 0.37/0.56 ; Retrieved 141 possibly forward subsuming rows in 182 calls.
% 0.37/0.56 ; Retrieved 21 possibly backward subsumed rows in 135 calls.
% 0.37/0.56 ; Path-index has 279 entries (279 at peak, 300 added, 21 deleted).
% 0.37/0.56 ; Path-index has 514 nodes (514 at peak, 526 added, 12 deleted).
% 0.37/0.56 ; Trie-index has 279 entries (279 at peak, 300 added, 21 deleted).
% 0.37/0.56 ; Trie-index has 615 nodes (615 at peak, 652 added, 37 deleted).
% 0.37/0.56 ; Retrieved 1,951 generalization terms in 2,618 calls.
% 0.37/0.56 ; Retrieved 115 instance terms in 67 calls.
% 0.37/0.56 ; Retrieved 8,430 unifiable terms in 540 calls.
% 0.37/0.56 ;
% 0.37/0.56 ; The agenda of rows to process has 247 entries:
% 0.37/0.56 ; 5 with value 7 8 with value 12 4 with value 17
% 0.37/0.56 ; 1 with value 8 22 with value 13 26 with value 18
% 0.37/0.56 ; 22 with value 9 34 with value 14 16 with value 19
% 0.37/0.56 ; 24 with value 10 41 with value 15 6 with value 22
% 0.37/0.56 ; 26 with value 11 6 with value 16 6 with value 25
% 0.37/0.56 ; The agenda of input rows to give has 31 entries:
% 0.37/0.56 ; 4 with value 15 3 with value 19 2 with value 26
% 0.37/0.56 ; 2 with value 16 4 with value 20 3 with value 31
% 0.37/0.56 ; 1 with value 17 1 with value 22 1 with value 34
% 0.37/0.56 ; 4 with value 18 6 with value 23
% 0.37/0.56 ; The agenda of rows to give has 91 entries:
% 0.37/0.56 ; 4 with value (4 5) 6 with value (4 11) 8 with value (4 16)
% 0.37/0.56 ; 1 with value (4 6) 4 with value (4 12) 5 with value (4 17)
% 0.37/0.56 ; 9 with value (4 7) 7 with value (4 13) 7 with value (4 18)
% 0.37/0.56 ; 5 with value (4 8) 5 with value (4 14) 4 with value (4 19)
% 0.37/0.56 ; 7 with value (4 9) 13 with value (4 15) 1 with value (4 20)
% 0.37/0.56 ; 5 with value (4 10)
% 0.37/0.56 Evaluation took:
% 0.37/0.56 0.102 seconds of real time
% 0.37/0.56 0.090377 seconds of user run time
% 0.37/0.56 0.012201 seconds of system run time
% 0.37/0.56 0 calls to %EVAL
% 0.37/0.56 0 page faults and
% 0.37/0.56 5,035,760 bytes consed.
% 0.37/0.56 :PROOF-FOUND
% 0.37/0.56 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T07:20:47
% 0.37/0.56 :PROOF-FOUND
% 0.37/0.56 *
%------------------------------------------------------------------------------