TSTP Solution File: SEU151+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU151+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n022.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 14:19:33 EDT 2022
% Result : Theorem 0.37s 0.60s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 7 ( 5 unt; 1 nHn; 6 RR)
% Number of literals : 12 ( 8 equ; 6 neg)
% Maximal clause size : 4 ( 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; 4 con; 0-2 aty)
% Number of variables : 10 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(15,axiom,
( X != unordered_pair(Y,Z)
| ~ in(U,X)
| U = Y
| U = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_tarski) ).
cnf(16,axiom,
( X != unordered_pair(Y,Z)
| in(U,X)
| U != Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_tarski) ).
cnf(60,negated_conjecture,
unordered_pair('SKOLEMAAAV11','SKOLEMAAAV12') = unordered_pair('SKOLEMAAAV13','SKOLEMAAAV14'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_zfmisc_1) ).
cnf(61,negated_conjecture,
'SKOLEMAAAV11' != 'SKOLEMAAAV13',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_zfmisc_1) ).
cnf(62,negated_conjecture,
'SKOLEMAAAV11' != 'SKOLEMAAAV14',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_zfmisc_1) ).
cnf(227,plain,
in(X,unordered_pair(X,Y)),
inference('HYPERRESOLVE',[status(thm)],[16,theory(equality),theory(equality)]) ).
cnf(289,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[15,62,61,theory(equality)]),227,60,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU151+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n022.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 14:42:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-19T14:42:31
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-19T14:42:31
% 0.19/0.49
% 0.19/0.49 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.19/0.49 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.19/0.49 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.19/0.49 ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.19/0.49 ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.19/0.49 ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.19/0.49 ; Declaring unordered_pair to be commutative.
% 0.19/0.49 ; Declaring set_union2 to be commutative.
% 0.19/0.49 ; Declaring set_intersection2 to be commutative.
% 0.37/0.60 ; Declaring disjoint to be commutative.
% 0.37/0.60
% 0.37/0.60 #||
% 0.37/0.60 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.60 % SZS output start Refutation
% See solution above
% 0.37/0.60 ||#
% 0.37/0.60
% 0.37/0.60 ; Summary of computation:
% 0.37/0.60 ; 1573 formulas have been input or derived (from 79 formulas).
% 0.37/0.60 ; 289 (18%) were retained. Of these,
% 0.37/0.60 ; 20 ( 7%) were simplified or subsumed later,
% 0.37/0.60 ; 269 (93%) are still being kept.
% 0.37/0.60 ;
% 0.37/0.60 ; Run time in seconds excluding printing time:
% 0.37/0.60 ; 0.013 9% Read assertion file (1 call)
% 0.37/0.60 ; 0.005 4% Assert (74 calls)
% 0.37/0.60 ; 0.030 22% Process new row (1,389 calls)
% 0.37/0.60 ; 0.022 16% Resolution (156 calls)
% 0.37/0.60 ; 0.002 1% Paramodulation (78 calls)
% 0.37/0.60 ; 0.000 0% Factoring (6 calls)
% 0.37/0.60 ; 0.005 4% Condensing (396 calls)
% 0.37/0.60 ; 0.006 4% Forward subsumption (396 calls)
% 0.37/0.60 ; 0.003 2% Backward subsumption (193 calls)
% 0.37/0.60 ; 0.003 2% Clause clause subsumption (507 calls)
% 0.37/0.60 ; 0.019 14% Forward simplification (1,388 calls)
% 0.37/0.60 ; 0.001 1% Backward simplification (286 calls)
% 0.37/0.60 ; 0.002 1% Ordering (769 calls)
% 0.37/0.60 ; 0.000 0% Sortal reasoning (32 calls)
% 0.37/0.60 ; 0.000 0% Purity testing (1 call)
% 0.37/0.60 ; 0.027 20% Other
% 0.37/0.60 ; 0.138 Total
% 0.37/0.60 ; 0.141 Real time
% 0.37/0.60 ;
% 0.37/0.60 ; Term-hash-array has 435 terms in all.
% 0.37/0.60 ; Feature-vector-row-index has 183 entries (183 at peak, 193 added, 10 deleted).
% 0.37/0.60 ; Feature-vector-row-index has 479 nodes (479 at peak, 500 added, 21 deleted).
% 0.37/0.60 ; Retrieved 667 possibly forward subsuming rows in 396 calls.
% 0.37/0.60 ; Retrieved 45 possibly backward subsumed rows in 193 calls.
% 0.37/0.60 ; Path-index has 425 entries (425 at peak, 446 added, 21 deleted).
% 0.37/0.60 ; Path-index has 724 nodes (724 at peak, 736 added, 12 deleted).
% 0.37/0.60 ; Trie-index has 425 entries (425 at peak, 446 added, 21 deleted).
% 0.37/0.60 ; Trie-index has 998 nodes (998 at peak, 1,035 added, 37 deleted).
% 0.37/0.60 ; Retrieved 4,243 generalization terms in 5,365 calls.
% 0.37/0.60 ; Retrieved 149 instance terms in 93 calls.
% 0.37/0.60 ; Retrieved 20,179 unifiable terms in 999 calls.
% 0.37/0.60 ;
% 0.37/0.60 ; The agenda of rows to process has 91 entries:
% 0.37/0.60 ; 10 with value 8 2 with value 16 2 with value 35
% 0.37/0.60 ; 2 with value 9 1 with value 18 4 with value 37
% 0.37/0.60 ; 19 with value 11 1 with value 19 10 with value 38
% 0.37/0.60 ; 2 with value 12 1 with value 20 1 with value 41
% 0.37/0.60 ; 9 with value 13 2 with value 25 2 with value 43
% 0.37/0.60 ; 3 with value 14 3 with value 26 4 with value 50
% 0.37/0.60 ; 1 with value 15 10 with value 28 2 with value 58
% 0.37/0.60 ; The agenda of input rows to give has 19 entries:
% 0.37/0.60 ; 2 with value 19 6 with value 23 3 with value 31
% 0.37/0.60 ; 4 with value 20 2 with value 26 1 with value 34
% 0.37/0.60 ; 1 with value 22
% 0.37/0.60 ; The agenda of rows to give has 172 entries:
% 0.37/0.60 ; 4 with value (4 5) 14 with value (4 13) 6 with value (4 21)
% 0.37/0.60 ; 1 with value (4 6) 6 with value (4 14) 3 with value (4 22)
% 0.37/0.60 ; 11 with value (4 7) 14 with value (4 15) 1 with value (4 23)
% 0.37/0.60 ; 11 with value (4 8) 13 with value (4 16) 9 with value (4 25)
% 0.37/0.60 ; 13 with value (4 9) 6 with value (4 17) 2 with value (4 26)
% 0.37/0.60 ; 5 with value (4 10) 12 with value (4 18) 2 with value (4 28)
% 0.37/0.60 ; 10 with value (4 11) 9 with value (4 19) 1 with value (4 29)
% 0.37/0.60 ; 8 with value (4 12) 9 with value (4 20) 2 with value (4 30)
% 0.37/0.60 Evaluation took:
% 0.37/0.60 0.141 seconds of real time
% 0.37/0.60 0.124435 seconds of user run time
% 0.37/0.60 0.016156 seconds of system run time
% 0.37/0.60 0 calls to %EVAL
% 0.37/0.60 0 page faults and
% 0.37/0.60 8,029,224 bytes consed.
% 0.37/0.60 :PROOF-FOUND
% 0.37/0.60 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T14:42:32
% 0.37/0.60 :PROOF-FOUND
% 0.37/0.60 *
%------------------------------------------------------------------------------