TSTP Solution File: SET622+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET622+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 05:11:00 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 3
% Syntax : Number of clauses : 4 ( 4 unt; 0 nHn; 2 RR)
% Number of literals : 4 ( 3 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 : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
difference(X,difference(Y,Z)) = union(difference(X,Y),intersection(X,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_difference_union2) ).
cnf(2,axiom,
symmetric_difference(X,Y) = difference(union(X,Y),intersection(X,Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetric_difference_and_difference) ).
cnf(20,negated_conjecture,
difference('SKOLEMAAAV3',symmetric_difference('SKOLEMAAAV4','SKOLEMAAAV5')) != union(difference('SKOLEMAAAV3',union('SKOLEMAAAV4','SKOLEMAAAV5')),intersection('SKOLEMAAAV3',intersection('SKOLEMAAAV4','SKOLEMAAAV5'))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th98) ).
cnf(21,plain,
$false,
inference('REWRITE',[status(thm)],[20,2,1,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET622+3 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 10 00:41:17 EDT 2022
% 0.13/0.34 % 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 2022-07-10T00:41:17
% 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 2022-07-10T00:41:17
% 0.19/0.49
% 0.19/0.49 ; Recognized associativity assertion (= (|intersection| (|intersection| ?X ?Y) ?Z) (|intersection| ?X (|intersection| ?Y ?Z))).
% 0.19/0.49 ; Recognized commutativity assertion (= (|union| ?X ?Y) (|union| ?Y ?X)).
% 0.19/0.49 ; Recognized commutativity assertion (= (|intersection| ?X ?Y) (|intersection| ?Y ?X)).
% 0.19/0.49 ; Recognized commutativity assertion (= (|symmetric_difference| ?X ?Y) (|symmetric_difference| ?Y ?X)).
% 0.19/0.49 ; Declaring intersection to be commutative.
% 0.19/0.49 ; Declaring intersection to be associative-commutative.
% 0.19/0.49 ; Declaring union to be commutative.
% 0.19/0.51 ; Declaring symmetric_difference 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 ; 29 formulas have been input or derived (from 1 formulas).
% 0.19/0.51 ; 21 (72%) were retained. Of these,
% 0.19/0.51 ; 1 ( 5%) were simplified or subsumed later,
% 0.19/0.51 ; 20 (95%) are still being kept.
% 0.19/0.51 ;
% 0.19/0.51 ; Run time in seconds excluding printing time:
% 0.19/0.51 ; 0.004 13% Read assertion file (1 call)
% 0.19/0.51 ; 0.001 3% Assert (15 calls)
% 0.19/0.51 ; 0.000 0% Process new row (28 calls)
% 0.19/0.51 ; 0.001 3% Condensing (19 calls)
% 0.19/0.51 ; 0.000 0% Forward subsumption (19 calls)
% 0.19/0.51 ; 0.001 3% Backward subsumption (15 calls)
% 0.19/0.51 ; 0.000 0% Clause clause subsumption (4 calls)
% 0.19/0.51 ; 0.001 3% Forward simplification (28 calls)
% 0.19/0.51 ; 0.001 3% Backward simplification (20 calls)
% 0.19/0.51 ; 0.000 0% Ordering (3 calls)
% 0.19/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.51 ; 0.000 0% Purity testing (1 call)
% 0.19/0.51 ; 0.021 70% Other
% 0.19/0.51 ; 0.030 Total
% 0.19/0.51 ; 0.031 Real time
% 0.19/0.51 ;
% 0.19/0.51 ; Term-hash-array has 33 terms in all.
% 0.19/0.51 ; Feature-vector-row-index has 15 entries (15 at peak, 15 added, 0 deleted).
% 0.19/0.51 ; Feature-vector-row-index has 35 nodes (35 at peak, 35 added, 0 deleted).
% 0.19/0.51 ; Retrieved 4 possibly forward subsuming rows in 19 calls.
% 0.19/0.51 ; Retrieved 0 possibly backward subsumed rows in 15 calls.
% 0.19/0.51 ; Path-index has 36 entries (36 at peak, 36 added, 0 deleted).
% 0.19/0.51 ; Path-index has 95 nodes (95 at peak, 95 added, 0 deleted).
% 0.19/0.51 ; Trie-index has 36 entries (36 at peak, 36 added, 0 deleted).
% 0.19/0.51 ; Trie-index has 83 nodes (83 at peak, 83 added, 0 deleted).
% 0.19/0.51 ; Retrieved 2 generalization terms in 16 calls.
% 0.19/0.51 ; Retrieved 7 instance terms in 4 calls.
% 0.19/0.51 ;
% 0.19/0.51 ; The agenda of input rows to give has 19 entries:
% 0.19/0.51 ; 1 with value 4 3 with value 12 1 with value 16
% 0.19/0.51 ; 1 with value 8 2 with value 14 2 with value 18
% 0.19/0.51 ; 6 with value 11 3 with value 15
% 0.19/0.51 Evaluation took:
% 0.19/0.51 0.032 seconds of real time
% 0.19/0.51 0.027296 seconds of user run time
% 0.19/0.51 0.004813 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 1,727,816 bytes consed.
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T00:41:17
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 *
%------------------------------------------------------------------------------