TSTP Solution File: SET620+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET620+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 05:10:59 EDT 2022
% Result : Theorem 0.46s 0.64s
% Output : Refutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% 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 : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 12 ( 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,
difference(X,intersection(X,Y)) = difference(X,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_into_intersection) ).
cnf(3,axiom,
difference(union(X,Y),Z) = union(difference(X,Z),difference(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_distributes_over_union) ).
cnf(20,negated_conjecture,
symmetric_difference('SKOLEMAAAW3','SKOLEMAAAW4') != difference(union('SKOLEMAAAW3','SKOLEMAAAW4'),intersection('SKOLEMAAAW3','SKOLEMAAAW4')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th96) ).
cnf(26,plain,
difference(union(X,Y),intersection(X,Z)) = union(difference(X,Z),difference(Y,intersection(X,Z))),
inference('PARAMODULATE',[status(thm)],[3,2,theory(equality)]) ).
cnf(186,plain,
difference(union(X,Y),intersection(X,Y)) = symmetric_difference(X,Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[26,2,theory(equality)]),1,theory(equality)]) ).
cnf(187,plain,
$false,
inference('REWRITE',[status(thm)],[20,186,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET620+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.14 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jul 11 05:53:28 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.49 #<PACKAGE "SNARK-USER">
% 0.20/0.49 *
% 0.20/0.49 SNARK-TPTP-OPTIONS
% 0.20/0.49 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T05:53:28
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-07-11T05:53:28
% 0.20/0.50
% 0.20/0.50 ; Recognized commutativity assertion (= (|union| ?X ?Y) (|union| ?Y ?X)).
% 0.20/0.50 ; Recognized commutativity assertion (= (|intersection| ?X ?Y) (|intersection| ?Y ?X)).
% 0.20/0.50 ; Recognized commutativity assertion (= (|symmetric_difference| ?X ?Y) (|symmetric_difference| ?Y ?X)).
% 0.20/0.50 ; Declaring symmetric_difference to be commutative.
% 0.20/0.50 ; Declaring union to be commutative.
% 0.46/0.64 ; Declaring intersection to be commutative.
% 0.46/0.64
% 0.46/0.64 #||
% 0.46/0.64 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.64 % SZS output start Refutation
% See solution above
% 0.46/0.64 ||#
% 0.46/0.64
% 0.46/0.64 ; Summary of computation:
% 0.46/0.64 ; 719 formulas have been input or derived (from 46 formulas).
% 0.46/0.64 ; 187 (26%) were retained. Of these,
% 0.46/0.64 ; 31 (17%) were simplified or subsumed later,
% 0.46/0.64 ; 156 (83%) are still being kept.
% 0.46/0.64 ;
% 0.46/0.64 ; Run time in seconds excluding printing time:
% 0.46/0.64 ; 0.003 2% Read assertion file (1 call)
% 0.46/0.64 ; 0.002 1% Assert (14 calls)
% 0.46/0.64 ; 0.019 13% Process new row (624 calls)
% 0.46/0.64 ; 0.021 14% Resolution (90 calls)
% 0.46/0.64 ; 0.002 1% Paramodulation (45 calls)
% 0.46/0.64 ; 0.000 0% Factoring (10 calls)
% 0.46/0.64 ; 0.010 7% Condensing (473 calls)
% 0.46/0.64 ; 0.024 16% Forward subsumption (473 calls)
% 0.46/0.64 ; 0.002 1% Backward subsumption (156 calls)
% 0.46/0.64 ; 0.012 8% Clause clause subsumption (1,433 calls)
% 0.46/0.64 ; 0.014 9% Forward simplification (597 calls)
% 0.46/0.64 ; 0.002 1% Backward simplification (187 calls)
% 0.46/0.64 ; 0.009 6% Ordering (1,578 calls)
% 0.46/0.64 ; 0.000 0% Sortal reasoning (32 calls)
% 0.46/0.64 ; 0.000 0% Purity testing (1 call)
% 0.46/0.64 ; 0.030 20% Other
% 0.46/0.64 ; 0.150 Total
% 0.46/0.64 ; 0.151 Real time
% 0.46/0.64 ;
% 0.46/0.64 ; Term-hash-array has 448 terms in all.
% 0.46/0.64 ; Feature-vector-row-index has 130 entries (130 at peak, 156 added, 26 deleted).
% 0.46/0.64 ; Feature-vector-row-index has 340 nodes (340 at peak, 398 added, 58 deleted).
% 0.46/0.64 ; Retrieved 1,791 possibly forward subsuming rows in 473 calls.
% 0.46/0.64 ; Retrieved 100 possibly backward subsumed rows in 156 calls.
% 0.46/0.64 ; Path-index has 391 entries (396 at peak, 452 added, 61 deleted).
% 0.46/0.64 ; Path-index has 605 nodes (621 at peak, 646 added, 41 deleted).
% 0.46/0.64 ; Trie-index has 391 entries (396 at peak, 452 added, 61 deleted).
% 0.46/0.64 ; Trie-index has 1,487 nodes (1,507 at peak, 1,725 added, 238 deleted).
% 0.46/0.64 ; Retrieved 899 generalization terms in 2,872 calls.
% 0.46/0.64 ; Retrieved 72 instance terms in 42 calls.
% 0.46/0.64 ; Retrieved 9,775 unifiable terms in 534 calls.
% 0.46/0.64 ;
% 0.46/0.64 ; The agenda of rows to process has 38 entries:
% 0.46/0.64 ; 4 with value 23 2 with value 39 2 with value 49
% 0.46/0.64 ; 1 with value 28 2 with value 42 4 with value 52
% 0.46/0.64 ; 1 with value 30 2 with value 43 2 with value 54
% 0.46/0.64 ; 1 with value 31 4 with value 44 4 with value 59
% 0.46/0.64 ; 1 with value 32 2 with value 45 2 with value 61
% 0.46/0.64 ; 4 with value 35
% 0.46/0.64 ; The agenda of rows to give has 116 entries:
% 0.46/0.64 ; 1 with value (4 16) 4 with value (4 30) 2 with value (4 41)
% 0.46/0.64 ; 1 with value (4 18) 12 with value (4 31) 2 with value (4 42)
% 0.46/0.64 ; 3 with value (4 22) 7 with value (4 32) 3 with value (4 43)
% 0.46/0.64 ; 4 with value (4 23) 11 with value (4 33) 1 with value (4 44)
% 0.46/0.64 ; 2 with value (4 24) 6 with value (4 34) 2 with value (4 45)
% 0.46/0.64 ; 10 with value (4 25) 2 with value (4 35) 3 with value (4 51)
% 0.46/0.64 ; 3 with value (4 26) 2 with value (4 37) 2 with value (4 53)
% 0.46/0.64 ; 4 with value (4 27) 2 with value (4 38) 3 with value (4 54)
% 0.46/0.64 ; 8 with value (4 28) 1 with value (4 39) 2 with value (4 56)
% 0.46/0.64 ; 9 with value (4 29) 4 with value (4 40)
% 0.46/0.64 Evaluation took:
% 0.46/0.64 0.152 seconds of real time
% 0.46/0.64 0.133864 seconds of user run time
% 0.46/0.64 0.01814 seconds of system run time
% 0.46/0.64 0 calls to %EVAL
% 0.46/0.64 0 page faults and
% 0.46/0.64 9,618,400 bytes consed.
% 0.46/0.64 :PROOF-FOUND
% 0.46/0.64 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T05:53:28
% 0.46/0.64 :PROOF-FOUND
% 0.46/0.64 *
%------------------------------------------------------------------------------