TSTP Solution File: SET633+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET633+3 : TPTP v8.1.0. Released v2.2.0.
% 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 05:11:08 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 5
% Syntax : Number of clauses : 6 ( 5 unt; 0 nHn; 5 RR)
% Number of literals : 8 ( 1 equ; 3 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 : 5 ( 0 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,
( ~ subset(X,Y)
| ~ subset(Z,Y)
| subset(union(X,Z),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_subset) ).
cnf(13,negated_conjecture,
subset(difference('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV5'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th115) ).
cnf(14,negated_conjecture,
subset(difference('SKOLEMAAAV4','SKOLEMAAAV3'),'SKOLEMAAAV5'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th115) ).
cnf(15,negated_conjecture,
~ subset(symmetric_difference('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV5'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th115) ).
cnf(22,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[2,13,14]),15,1,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET633+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n027.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 : Sat Jul 9 22:15:17 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T22:15:17
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-07-09T22:15:17
% 0.19/0.49
% 0.19/0.49 ; Recognized commutativity assertion (= (|union| ?X ?Y) (|union| ?Y ?X)).
% 0.19/0.49 ; Recognized commutativity assertion (= (|symmetric_difference| ?X ?Y) (|symmetric_difference| ?Y ?X)).
% 0.19/0.49 ; Declaring symmetric_difference to be commutative.
% 0.19/0.51 ; Declaring union to be commutative.
% 0.19/0.51
% 0.19/0.51 #||
% 0.19/0.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51 % SZS output start Refutation
% See solution above
% 0.19/0.51 ||#
% 0.19/0.51
% 0.19/0.51 ; Summary of computation:
% 0.19/0.51 ; 48 formulas have been input or derived (from 13 formulas).
% 0.19/0.51 ; 22 (46%) were retained. Of these,
% 0.19/0.51 ; 22 (100%) are still being kept.
% 0.19/0.51 ;
% 0.19/0.51 ; Run time in seconds excluding printing time:
% 0.19/0.51 ; 0.002 7% Read assertion file (1 call)
% 0.19/0.51 ; 0.001 3% Assert (9 calls)
% 0.19/0.51 ; 0.001 3% Process new row (32 calls)
% 0.19/0.51 ; 0.002 7% Resolution (24 calls)
% 0.19/0.51 ; 0.000 0% Paramodulation (12 calls)
% 0.19/0.51 ; 0.000 0% Factoring (1 call)
% 0.19/0.51 ; 0.000 0% Condensing (11 calls)
% 0.19/0.51 ; 0.000 0% Forward subsumption (11 calls)
% 0.19/0.51 ; 0.000 0% Backward subsumption (10 calls)
% 0.19/0.51 ; 0.000 0% Clause clause subsumption (1 call)
% 0.19/0.51 ; 0.001 3% Forward simplification (32 calls)
% 0.19/0.51 ; 0.000 0% Backward simplification (22 calls)
% 0.19/0.51 ; 0.000 0% Ordering (10 calls)
% 0.19/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.51 ; 0.001 3% Purity testing (1 call)
% 0.19/0.51 ; 0.022 73% Other
% 0.19/0.51 ; 0.030 Total
% 0.19/0.51 ; 0.033 Real time
% 0.19/0.51 ;
% 0.19/0.51 ; Term-hash-array has 40 terms in all.
% 0.19/0.51 ; Feature-vector-row-index has 10 entries (10 at peak, 10 added, 0 deleted).
% 0.19/0.51 ; Feature-vector-row-index has 25 nodes (25 at peak, 25 added, 0 deleted).
% 0.19/0.51 ; Retrieved 3 possibly forward subsuming rows in 11 calls.
% 0.19/0.51 ; Retrieved 1 possibly backward subsumed row in 10 calls.
% 0.19/0.51 ; Path-index has 43 entries (43 at peak, 43 added, 0 deleted).
% 0.19/0.51 ; Path-index has 107 nodes (107 at peak, 107 added, 0 deleted).
% 0.19/0.51 ; Trie-index has 43 entries (43 at peak, 43 added, 0 deleted).
% 0.19/0.51 ; Trie-index has 110 nodes (110 at peak, 110 added, 0 deleted).
% 0.19/0.51 ; Retrieved 25 generalization terms in 22 calls.
% 0.19/0.51 ; Retrieved 16 instance terms in 11 calls.
% 0.19/0.51 ; Retrieved 356 unifiable terms in 98 calls.
% 0.19/0.51 ;
% 0.19/0.51 ; The agenda of rows to process has 11 entries:
% 0.19/0.51 ; 4 with value 13 4 with value 18 1 with value 22
% 0.19/0.51 ; 2 with value 15
% 0.19/0.51 ; The agenda of input rows to give has 3 entries:
% 0.19/0.51 ; 1 with value 15 2 with value 18
% 0.19/0.51 ; The agenda of rows to give has 6 entries:
% 0.19/0.51 ; 1 with value (4 8) 3 with value (4 11) 2 with value (4 13)
% 0.19/0.51 Evaluation took:
% 0.19/0.51 0.033 seconds of real time
% 0.19/0.51 0.02855 seconds of user run time
% 0.19/0.51 0.004052 seconds of system run time
% 0.19/0.51 0 calls to %EVAL
% 0.19/0.51 0 page faults and
% 0.19/0.51 1,780,664 bytes consed.
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T22:15:17
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 *
%------------------------------------------------------------------------------