TSTP Solution File: SET618+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET618+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n007.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 05:10:58 EDT 2022
% Result : Theorem 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 6 ( 6 unt; 0 nHn; 2 RR)
% Number of literals : 6 ( 5 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
symmetric_difference(X,Y) = union(difference(X,Y),difference(Y,X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetric_difference_defn) ).
cnf(2,axiom,
union(X,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotency_of_union) ).
cnf(3,axiom,
difference(X,X) = empty_set,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',self_difference_is_empty_set) ).
cnf(16,negated_conjecture,
symmetric_difference('SKOLEMAAAV4','SKOLEMAAAV4') != empty_set,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th93) ).
cnf(21,plain,
symmetric_difference(X,X) = empty_set,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2,1,theory(equality)]),3,theory(equality)]) ).
cnf(22,plain,
$false,
inference('REWRITE',[status(thm)],[16,21,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET618+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 10 06:28:01 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T06:28:02
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-07-10T06:28:02
% 0.20/0.48
% 0.20/0.48 ; Recognized commutativity assertion (= (|union| ?X ?Y) (|union| ?Y ?X)).
% 0.20/0.48 ; Recognized commutativity assertion (= (|symmetric_difference| ?X ?Y) (|symmetric_difference| ?Y ?X)).
% 0.20/0.48 ; Declaring symmetric_difference to be commutative.
% 0.20/0.50 ; Declaring union to be commutative.
% 0.20/0.50
% 0.20/0.50 #||
% 0.20/0.50 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.50 % SZS output start Refutation
% See solution above
% 0.20/0.50 ||#
% 0.20/0.50
% 0.20/0.50 ; Summary of computation:
% 0.20/0.50 ; 63 formulas have been input or derived (from 15 formulas).
% 0.20/0.50 ; 22 (35%) were retained. Of these,
% 0.20/0.50 ; 1 ( 5%) were simplified or subsumed later,
% 0.20/0.50 ; 21 (95%) are still being kept.
% 0.20/0.50 ;
% 0.20/0.50 ; Run time in seconds:
% 0.20/0.50 ; 0.003 9% Read assertion file (1 call)
% 0.20/0.50 ; 0.001 3% Assert (12 calls)
% 0.20/0.50 ; 0.002 6% Process new row (51 calls)
% 0.20/0.50 ; 0.001 3% Resolution (28 calls)
% 0.20/0.50 ; 0.000 0% Paramodulation (14 calls)
% 0.20/0.50 ; 0.000 0% Factoring (2 calls)
% 0.20/0.50 ; 0.001 3% Condensing (18 calls)
% 0.20/0.50 ; 0.000 0% Forward subsumption (18 calls)
% 0.20/0.50 ; 0.000 0% Backward subsumption (12 calls)
% 0.20/0.50 ; 0.000 0% Clause clause subsumption (7 calls)
% 0.20/0.50 ; 0.000 0% Forward simplification (51 calls)
% 0.20/0.50 ; 0.000 0% Backward simplification (22 calls)
% 0.20/0.50 ; 0.000 0% Ordering (32 calls)
% 0.20/0.50 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.50 ; 0.000 0% Purity testing (1 call)
% 0.20/0.50 ; 0.024 75% Other
% 0.20/0.50 ; 0.032 Total
% 0.20/0.50 ; 0.033 Real time
% 0.20/0.50 ;
% 0.20/0.50 ; Term-hash-array has 35 terms in all.
% 0.20/0.50 ; Feature-vector-row-index has 12 entries (12 at peak, 12 added, 0 deleted).
% 0.20/0.50 ; Feature-vector-row-index has 32 nodes (32 at peak, 32 added, 0 deleted).
% 0.20/0.50 ; Retrieved 7 possibly forward subsuming rows in 18 calls.
% 0.20/0.50 ; Retrieved 0 possibly backward subsumed rows in 12 calls.
% 0.20/0.50 ; Path-index has 34 entries (37 at peak, 37 added, 3 deleted).
% 0.20/0.50 ; Path-index has 72 nodes (75 at peak, 75 added, 3 deleted).
% 0.20/0.50 ; Trie-index has 34 entries (37 at peak, 37 added, 3 deleted).
% 0.20/0.50 ; Trie-index has 70 nodes (76 at peak, 76 added, 6 deleted).
% 0.20/0.50 ; Retrieved 43 generalization terms in 76 calls.
% 0.20/0.50 ; Retrieved 16 instance terms in 9 calls.
% 0.20/0.50 ; Retrieved 301 unifiable terms in 93 calls.
% 0.20/0.50 ;
% 0.20/0.50 ; The agenda of rows to process has 8 entries:
% 0.20/0.50 ; 2 with value 10 1 with value 22 1 with value 28
% 0.20/0.50 ; 4 with value 15
% 0.20/0.50 ; The agenda of input rows to give has 2 entries:
% 0.20/0.50 ; 2 with value 18
% 0.20/0.50 ; The agenda of rows to give has 5 entries:
% 0.20/0.50 ; 1 with value (4 4) 1 with value (4 8) 1 with value (4 19)
% 0.20/0.50 ; 1 with value (4 5) 1 with value (4 17)
% 0.20/0.50 Evaluation took:
% 0.20/0.50 0.033 seconds of real time
% 0.20/0.50 0.027245 seconds of user run time
% 0.20/0.50 0.005783 seconds of system run time
% 0.20/0.50 0 calls to %EVAL
% 0.20/0.50 0 page faults and
% 0.20/0.50 1,739,904 bytes consed.
% 0.20/0.50 :PROOF-FOUND
% 0.20/0.50 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T06:28:02
% 0.20/0.50 :PROOF-FOUND
% 0.20/0.50 *
%------------------------------------------------------------------------------