TSTP Solution File: SEU171+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU171+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 14:19:48 EDT 2022
% Result : Theorem 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of clauses : 14 ( 10 unt; 2 nHn; 14 RR)
% Number of literals : 21 ( 5 equ; 10 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( empty(X)
| ~ element(Y,X)
| in(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_subset_1) ).
cnf(8,axiom,
( X != set_difference(Y,Z)
| in(U,X)
| ~ in(U,Y)
| in(U,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).
cnf(12,axiom,
( ~ element(X,powerset(Y))
| subset_complement(Y,X) = set_difference(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_subset_1) ).
cnf(26,negated_conjecture,
'SKOLEMAAAV7' != empty_set,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t50_subset_1) ).
cnf(27,negated_conjecture,
element('SKOLEMAAAV8',powerset('SKOLEMAAAV7')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t50_subset_1) ).
cnf(28,negated_conjecture,
element('SKOLEMAAAV9','SKOLEMAAAV7'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t50_subset_1) ).
cnf(29,negated_conjecture,
~ in('SKOLEMAAAV9','SKOLEMAAAV8'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t50_subset_1) ).
cnf(30,negated_conjecture,
~ in('SKOLEMAAAV9',subset_complement('SKOLEMAAAV7','SKOLEMAAAV8')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t50_subset_1) ).
cnf(31,axiom,
( ~ empty(X)
| X = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
cnf(34,plain,
~ empty('SKOLEMAAAV7'),
inference('UR-RESOLVE',[status(thm)],[31,26]) ).
cnf(50,plain,
in('SKOLEMAAAV9','SKOLEMAAAV7'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[2,28]),34]) ).
cnf(62,plain,
subset_complement('SKOLEMAAAV7','SKOLEMAAAV8') = set_difference('SKOLEMAAAV7','SKOLEMAAAV8'),
inference('HYPERRESOLVE',[status(thm)],[12,27]) ).
cnf(63,plain,
~ in('SKOLEMAAAV9',set_difference('SKOLEMAAAV7','SKOLEMAAAV8')),
inference('REWRITE',[status(thm)],[30,62,theory(equality)]) ).
cnf(75,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[8,63,29,theory(equality)]),50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU171+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n027.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 09:17:55 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 *
% 0.18/0.46 #<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/sandbox/benchmark/theBenchmark.p 2022-06-20T09:17:55
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-20T09:17:55
% 0.18/0.47
% 0.18/0.50 ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.18/0.50
% 0.18/0.50 #||
% 0.18/0.50 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.50 % SZS output start Refutation
% See solution above
% 0.18/0.50 ||#
% 0.18/0.50
% 0.18/0.50 ; Summary of computation:
% 0.18/0.50 ; 114 formulas have been input or derived (from 33 formulas).
% 0.18/0.50 ; 75 (66%) were retained. Of these,
% 0.18/0.50 ; 8 (11%) were simplified or subsumed later,
% 0.18/0.50 ; 67 (89%) are still being kept.
% 0.18/0.50 ;
% 0.18/0.50 ; Run time in seconds excluding printing time:
% 0.18/0.50 ; 0.004 10% Read assertion file (1 call)
% 0.18/0.50 ; 0.001 2% Assert (23 calls)
% 0.18/0.50 ; 0.002 5% Process new row (102 calls)
% 0.18/0.50 ; 0.005 12% Resolution (64 calls)
% 0.18/0.50 ; 0.000 0% Paramodulation (32 calls)
% 0.18/0.50 ; 0.000 0% Factoring (1 call)
% 0.18/0.50 ; 0.000 0% Condensing (27 calls)
% 0.18/0.50 ; 0.000 0% Forward subsumption (27 calls)
% 0.18/0.50 ; 0.001 2% Backward subsumption (26 calls)
% 0.18/0.50 ; 0.000 0% Clause clause subsumption (7 calls)
% 0.18/0.50 ; 0.003 8% Forward simplification (101 calls)
% 0.18/0.50 ; 0.001 2% Backward simplification (75 calls)
% 0.18/0.50 ; 0.001 2% Ordering (46 calls)
% 0.18/0.50 ; 0.001 2% Sortal reasoning (32 calls)
% 0.18/0.50 ; 0.001 2% Purity testing (1 call)
% 0.18/0.50 ; 0.020 50% Other
% 0.18/0.50 ; 0.040 Total
% 0.18/0.50 ; 0.043 Real time
% 0.18/0.50 ;
% 0.18/0.50 ; Term-hash-array has 109 terms in all.
% 0.18/0.50 ; Feature-vector-row-index has 26 entries (26 at peak, 26 added, 0 deleted).
% 0.18/0.50 ; Feature-vector-row-index has 77 nodes (77 at peak, 77 added, 0 deleted).
% 0.18/0.50 ; Retrieved 4 possibly forward subsuming rows in 27 calls.
% 0.18/0.50 ; Retrieved 3 possibly backward subsumed rows in 26 calls.
% 0.18/0.50 ; Path-index has 106 entries (106 at peak, 115 added, 9 deleted).
% 0.18/0.50 ; Path-index has 248 nodes (248 at peak, 261 added, 13 deleted).
% 0.18/0.50 ; Trie-index has 106 entries (106 at peak, 115 added, 9 deleted).
% 0.18/0.50 ; Trie-index has 250 nodes (250 at peak, 280 added, 30 deleted).
% 0.18/0.50 ; Retrieved 40 generalization terms in 149 calls.
% 0.18/0.50 ; Retrieved 65 instance terms in 48 calls.
% 0.18/0.50 ; Retrieved 1,129 unifiable terms in 237 calls.
% 0.18/0.50 ;
% 0.18/0.50 ; The agenda of rows to process has 2 entries:
% 0.18/0.50 ; 2 with value 17
% 0.18/0.50 ; The agenda of input rows to give has 3 entries:
% 0.18/0.50 ; 2 with value 23 1 with value 31
% 0.18/0.50 ; The agenda of rows to give has 35 entries:
% 0.18/0.50 ; 1 with value (4 4) 5 with value (4 8) 2 with value (4 13)
% 0.18/0.50 ; 5 with value (4 5) 2 with value (4 9) 1 with value (4 14)
% 0.18/0.50 ; 2 with value (4 6) 3 with value (4 10) 2 with value (4 16)
% 0.18/0.50 ; 6 with value (4 7) 4 with value (4 11) 2 with value (4 17)
% 0.18/0.50 Evaluation took:
% 0.18/0.50 0.043 seconds of real time
% 0.18/0.50 0.039701 seconds of user run time
% 0.18/0.50 0.003065 seconds of system run time
% 0.18/0.50 0 calls to %EVAL
% 0.18/0.50 0 page faults and
% 0.18/0.50 2,685,736 bytes consed.
% 0.18/0.50 :PROOF-FOUND
% 0.18/0.50 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T09:17:55
% 0.18/0.50 :PROOF-FOUND
% 0.18/0.50 *
%------------------------------------------------------------------------------