TSTP Solution File: SET617+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET617+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 05:10:57 EDT 2022
% Result : Theorem 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 7 ( 7 unt; 0 nHn; 2 RR)
% Number of literals : 7 ( 6 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 : 6 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
symmetric_difference(X,Y) = union(difference(X,Y),difference(Y,X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetric_difference_defn) ).
cnf(2,axiom,
union(X,empty_set) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_empty_set) ).
cnf(3,axiom,
difference(X,empty_set) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_difference_with_empty_set1) ).
cnf(4,axiom,
difference(empty_set,X) = empty_set,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_difference_with_empty_set2) ).
cnf(17,negated_conjecture,
symmetric_difference('SKOLEMAAAV4',empty_set) != 'SKOLEMAAAV4',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th92) ).
cnf(22,plain,
symmetric_difference(X,empty_set) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1,3,theory(equality)]),2,4,theory(equality)]) ).
cnf(23,plain,
$false,
inference('REWRITE',[status(thm)],[17,22,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET617+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n019.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jul 10 08:01:23 EDT 2022
% 0.13/0.33 % 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 2022-07-10T08:01:23
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-07-10T08:01:23
% 0.19/0.47
% 0.19/0.47 ; Recognized right identity assertion (= (|union| ?X |empty_set|) ?X).
% 0.19/0.47 ; Recognized right identity assertion (= (|difference| ?X |empty_set|) ?X).
% 0.19/0.47 ; Recognized commutativity assertion (= (|union| ?X ?Y) (|union| ?Y ?X)).
% 0.19/0.47 ; Recognized commutativity assertion (= (|symmetric_difference| ?X ?Y) (|symmetric_difference| ?Y ?X)).
% 0.19/0.47 ; Declaring symmetric_difference to be commutative.
% 0.19/0.49 ; Declaring union to be commutative.
% 0.19/0.49
% 0.19/0.49 #||
% 0.19/0.49 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.49 % SZS output start Refutation
% See solution above
% 0.19/0.49 ||#
% 0.19/0.49
% 0.19/0.49 ; Summary of computation:
% 0.19/0.49 ; 74 formulas have been input or derived (from 16 formulas).
% 0.19/0.49 ; 23 (31%) were retained. Of these,
% 0.19/0.49 ; 1 ( 4%) were simplified or subsumed later,
% 0.19/0.49 ; 22 (96%) are still being kept.
% 0.19/0.49 ;
% 0.19/0.49 ; Run time in seconds excluding printing time:
% 0.19/0.49 ; 0.003 9% Read assertion file (1 call)
% 0.19/0.49 ; 0.001 3% Assert (13 calls)
% 0.19/0.49 ; 0.002 6% Process new row (60 calls)
% 0.19/0.49 ; 0.002 6% Resolution (30 calls)
% 0.19/0.49 ; 0.000 0% Paramodulation (15 calls)
% 0.19/0.49 ; 0.000 0% Factoring (2 calls)
% 0.19/0.49 ; 0.001 3% Condensing (20 calls)
% 0.19/0.49 ; 0.000 0% Forward subsumption (20 calls)
% 0.19/0.49 ; 0.001 3% Backward subsumption (12 calls)
% 0.19/0.49 ; 0.000 0% Clause clause subsumption (9 calls)
% 0.19/0.49 ; 0.001 3% Forward simplification (60 calls)
% 0.19/0.49 ; 0.000 0% Backward simplification (23 calls)
% 0.19/0.49 ; 0.000 0% Ordering (40 calls)
% 0.19/0.49 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.49 ; 0.000 0% Purity testing (1 call)
% 0.19/0.49 ; 0.021 66% Other
% 0.19/0.49 ; 0.032 Total
% 0.19/0.49 ; 0.033 Real time
% 0.19/0.49 ;
% 0.19/0.49 ; Term-hash-array has 37 terms in all.
% 0.19/0.49 ; Feature-vector-row-index has 12 entries (12 at peak, 12 added, 0 deleted).
% 0.19/0.49 ; Feature-vector-row-index has 32 nodes (32 at peak, 32 added, 0 deleted).
% 0.19/0.49 ; Retrieved 9 possibly forward subsuming rows in 20 calls.
% 0.19/0.49 ; Retrieved 0 possibly backward subsumed rows in 12 calls.
% 0.19/0.49 ; Path-index has 37 entries (39 at peak, 40 added, 3 deleted).
% 0.19/0.49 ; Path-index has 81 nodes (84 at peak, 85 added, 4 deleted).
% 0.19/0.49 ; Trie-index has 37 entries (39 at peak, 40 added, 3 deleted).
% 0.19/0.49 ; Trie-index has 79 nodes (84 at peak, 85 added, 6 deleted).
% 0.19/0.49 ; Retrieved 61 generalization terms in 99 calls.
% 0.19/0.49 ; Retrieved 13 instance terms in 10 calls.
% 0.19/0.49 ; Retrieved 354 unifiable terms in 108 calls.
% 0.19/0.49 ;
% 0.19/0.49 ; The agenda of rows to process has 9 entries:
% 0.19/0.49 ; 3 with value 13 1 with value 22 1 with value 28
% 0.19/0.49 ; 4 with value 15
% 0.19/0.49 ; The agenda of input rows to give has 2 entries:
% 0.19/0.49 ; 2 with value 18
% 0.19/0.49 ; The agenda of rows to give has 5 entries:
% 0.19/0.49 ; 1 with value (4 4) 1 with value (4 8) 1 with value (4 19)
% 0.19/0.49 ; 1 with value (4 5) 1 with value (4 17)
% 0.19/0.49 Evaluation took:
% 0.19/0.49 0.033 seconds of real time
% 0.19/0.49 0.026106 seconds of user run time
% 0.19/0.49 0.007151 seconds of system run time
% 0.19/0.49 0 calls to %EVAL
% 0.19/0.49 0 page faults and
% 0.19/0.49 1,825,680 bytes consed.
% 0.19/0.49 :PROOF-FOUND
% 0.19/0.49 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T08:01:23
% 0.19/0.49 :PROOF-FOUND
% 0.19/0.49 *
%------------------------------------------------------------------------------