TSTP Solution File: SET908+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET908+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 05:13:17 EDT 2022
% Result : Theorem 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 11 ( 7 unt; 1 nHn; 10 RR)
% Number of literals : 17 ( 10 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
( X != singleton(Y)
| in(Z,X)
| Z != Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
cnf(6,axiom,
( X != empty_set
| ~ in(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_xboole_0) ).
cnf(7,axiom,
( X = empty_set
| in('SKOLEMAAAV2'(X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_xboole_0) ).
cnf(9,axiom,
( X != set_union2(Y,Z)
| in(U,X)
| ~ in(U,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).
cnf(18,negated_conjecture,
set_union2(singleton('SKOLEMAAAV6'),'SKOLEMAAAV7') = empty_set,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t49_zfmisc_1) ).
cnf(19,plain,
~ in(X,empty_set),
inference('UR-RESOLVE',[status(thm)],[6,theory(equality)]) ).
cnf(25,plain,
'SKOLEMAAAV7' = empty_set,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[9,18,7]),19]) ).
cnf(26,plain,
set_union2(singleton('SKOLEMAAAV6'),empty_set) = empty_set,
inference('REWRITE',[status(thm)],[18,25,theory(equality)]) ).
cnf(29,plain,
singleton('SKOLEMAAAV6') = empty_set,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[9,26,7]),19]) ).
cnf(51,plain,
singleton(X) != empty_set,
inference('UR-RESOLVE',[status(thm)],[3,19,theory(equality)]) ).
cnf(52,plain,
$false,
inference('REWRITE',[status(thm)],[29,51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET908+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n028.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 Jul 10 19:26:57 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 *
% 0.18/0.45 #<PACKAGE "SNARK-USER">
% 0.18/0.45 *
% 0.18/0.45 SNARK-TPTP-OPTIONS
% 0.18/0.45 *
% 0.18/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.45 (USE-FACTORING :POS)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.45 *
% 0.18/0.45 "."
% 0.18/0.45 *
% 0.18/0.45 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T19:26:58
% 0.18/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-07-10T19:26:58
% 0.18/0.47
% 0.18/0.47 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.18/0.51 ; Declaring set_union2 to be commutative.
% 0.18/0.51
% 0.18/0.51 #||
% 0.18/0.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.51 % SZS output start Refutation
% See solution above
% 0.18/0.51 ||#
% 0.18/0.51
% 0.18/0.51 ; Summary of computation:
% 0.18/0.51 ; 192 formulas have been input or derived (from 21 formulas).
% 0.18/0.51 ; 52 (27%) were retained. Of these,
% 0.18/0.51 ; 8 (15%) were simplified or subsumed later,
% 0.18/0.51 ; 44 (85%) are still being kept.
% 0.18/0.51 ;
% 0.18/0.51 ; Run time in seconds:
% 0.18/0.51 ; 0.003 5% Read assertion file (1 call)
% 0.18/0.51 ; 0.001 2% Assert (12 calls)
% 0.18/0.51 ; 0.008 14% Process new row (152 calls)
% 0.18/0.51 ; 0.004 7% Resolution (40 calls)
% 0.18/0.51 ; 0.001 2% Paramodulation (20 calls)
% 0.18/0.51 ; 0.001 2% Factoring (3 calls)
% 0.18/0.51 ; 0.006 11% Condensing (84 calls)
% 0.18/0.51 ; 0.001 2% Forward subsumption (84 calls)
% 0.18/0.51 ; 0.001 2% Backward subsumption (36 calls)
% 0.18/0.51 ; 0.001 2% Clause clause subsumption (158 calls)
% 0.18/0.51 ; 0.005 9% Forward simplification (147 calls)
% 0.18/0.51 ; 0.001 2% Backward simplification (52 calls)
% 0.18/0.51 ; 0.001 2% Ordering (385 calls)
% 0.18/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.51 ; 0.000 0% Purity testing (1 call)
% 0.18/0.51 ; 0.022 39% Other
% 0.18/0.51 ; 0.056 Total
% 0.18/0.51 ; 0.056 Real time
% 0.18/0.51 ;
% 0.18/0.51 ; Term-hash-array has 131 terms in all.
% 0.18/0.51 ; Feature-vector-row-index has 34 entries (36 at peak, 36 added, 2 deleted).
% 0.18/0.51 ; Feature-vector-row-index has 99 nodes (110 at peak, 110 added, 11 deleted).
% 0.18/0.51 ; Retrieved 231 possibly forward subsuming rows in 84 calls.
% 0.18/0.51 ; Retrieved 20 possibly backward subsumed rows in 36 calls.
% 0.18/0.51 ; Path-index has 121 entries (130 at peak, 136 added, 15 deleted).
% 0.18/0.51 ; Path-index has 140 nodes (149 at peak, 159 added, 19 deleted).
% 0.18/0.51 ; Trie-index has 121 entries (130 at peak, 136 added, 15 deleted).
% 0.18/0.51 ; Trie-index has 225 nodes (244 at peak, 261 added, 36 deleted).
% 0.18/0.51 ; Retrieved 203 generalization terms in 375 calls.
% 0.18/0.51 ; Retrieved 19 instance terms in 15 calls.
% 0.18/0.51 ; Retrieved 2,268 unifiable terms in 227 calls.
% 0.18/0.51 ;
% 0.18/0.51 ; The agenda of backward simplifiable rows to process has 2 entries:
% 0.18/0.51 ; 2 with value 0
% 0.18/0.51 ; The agenda of rows to process has 9 entries:
% 0.18/0.51 ; 1 with value 8 1 with value 11 1 with value 15
% 0.18/0.51 ; 2 with value 9 1 with value 14 3 with value 25
% 0.18/0.51 ; The agenda of rows to give has 25 entries:
% 0.18/0.51 ; 1 with value (4 5) 1 with value (4 21) 2 with value (4 39)
% 0.18/0.51 ; 2 with value (4 7) 1 with value (4 23) 2 with value (4 40)
% 0.18/0.51 ; 1 with value (4 8) 3 with value (4 24) 1 with value (4 54)
% 0.18/0.51 ; 2 with value (4 13) 2 with value (4 26) 2 with value (4 55)
% 0.18/0.51 ; 2 with value (4 16) 3 with value (4 34)
% 0.18/0.51 Evaluation took:
% 0.18/0.51 0.057 seconds of real time
% 0.18/0.51 0.047592 seconds of user run time
% 0.18/0.51 0.008692 seconds of system run time
% 0.18/0.51 0 calls to %EVAL
% 0.18/0.51 0 page faults and
% 0.18/0.51 3,222,552 bytes consed.
% 0.18/0.51 :PROOF-FOUND
% 0.18/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T19:26:58
% 0.18/0.51 :PROOF-FOUND
% 0.18/0.51 *
%------------------------------------------------------------------------------