TSTP Solution File: SET983+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET983+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n015.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 05:13:49 EDT 2022
% Result : Theorem 0.18s 0.49s
% Output : Refutation 0.18s
% 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 : 9 ( 2 equ; 4 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
( X != set_intersection2(Y,Z)
| in(U,X)
| ~ in(U,Y)
| ~ in(U,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).
cnf(10,axiom,
cartesian_product2(set_intersection2(X,Y),set_intersection2(Z,U)) = set_intersection2(cartesian_product2(X,Z),cartesian_product2(Y,U)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t123_zfmisc_1) ).
cnf(11,negated_conjecture,
in('SKOLEMAAAU4',cartesian_product2('SKOLEMAAAU5','SKOLEMAAAU6')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t137_zfmisc_1) ).
cnf(12,negated_conjecture,
in('SKOLEMAAAU4',cartesian_product2('SKOLEMAAAU7','SKOLEMAAAU8')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t137_zfmisc_1) ).
cnf(13,negated_conjecture,
~ in('SKOLEMAAAU4',cartesian_product2(set_intersection2('SKOLEMAAAU5','SKOLEMAAAU7'),set_intersection2('SKOLEMAAAU6','SKOLEMAAAU8'))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t137_zfmisc_1) ).
cnf(22,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[3,10,13,11,12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET983+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 10 15:22:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T15:22:23
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-10T15:22:23
% 0.18/0.47
% 0.18/0.47 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.18/0.49 ; Declaring set_intersection2 to be commutative.
% 0.18/0.49
% 0.18/0.49 #||
% 0.18/0.49 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.49 % SZS output start Refutation
% See solution above
% 0.18/0.49 ||#
% 0.18/0.49
% 0.18/0.49 ; Summary of computation:
% 0.18/0.49 ; 93 formulas have been input or derived (from 11 formulas).
% 0.18/0.49 ; 22 (24%) were retained. Of these,
% 0.18/0.49 ; 22 (100%) are still being kept.
% 0.18/0.49 ;
% 0.18/0.49 ; Run time in seconds:
% 0.18/0.49 ; 0.002 6% Read assertion file (1 call)
% 0.18/0.49 ; 0.001 3% Assert (8 calls)
% 0.18/0.49 ; 0.002 6% Process new row (37 calls)
% 0.18/0.49 ; 0.003 9% Resolution (20 calls)
% 0.18/0.49 ; 0.000 0% Paramodulation (10 calls)
% 0.18/0.49 ; 0.001 3% Condensing (10 calls)
% 0.18/0.49 ; 0.000 0% Forward subsumption (10 calls)
% 0.18/0.49 ; 0.000 0% Backward subsumption (8 calls)
% 0.18/0.49 ; 0.000 0% Clause clause subsumption (10 calls)
% 0.18/0.49 ; 0.002 6% Forward simplification (37 calls)
% 0.18/0.49 ; 0.000 0% Backward simplification (22 calls)
% 0.18/0.49 ; 0.000 0% Ordering (26 calls)
% 0.18/0.49 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.49 ; 0.000 0% Purity testing (1 call)
% 0.18/0.49 ; 0.021 66% Other
% 0.18/0.49 ; 0.032 Total
% 0.18/0.49 ; 0.034 Real time
% 0.18/0.49 ;
% 0.18/0.49 ; Term-hash-array has 48 terms in all.
% 0.18/0.49 ; Feature-vector-row-index has 8 entries (8 at peak, 8 added, 0 deleted).
% 0.18/0.49 ; Feature-vector-row-index has 24 nodes (24 at peak, 24 added, 0 deleted).
% 0.18/0.49 ; Retrieved 8 possibly forward subsuming rows in 10 calls.
% 0.18/0.49 ; Retrieved 3 possibly backward subsumed rows in 8 calls.
% 0.18/0.49 ; Path-index has 55 entries (55 at peak, 55 added, 0 deleted).
% 0.18/0.49 ; Path-index has 144 nodes (144 at peak, 144 added, 0 deleted).
% 0.18/0.49 ; Trie-index has 55 entries (55 at peak, 55 added, 0 deleted).
% 0.18/0.49 ; Trie-index has 170 nodes (170 at peak, 170 added, 0 deleted).
% 0.18/0.49 ; Retrieved 43 generalization terms in 60 calls.
% 0.18/0.49 ; Retrieved 14 instance terms in 13 calls.
% 0.18/0.49 ; Retrieved 644 unifiable terms in 137 calls.
% 0.18/0.49 ;
% 0.18/0.49 ; The agenda of rows to process has 45 entries:
% 0.18/0.49 ; 10 with value 8 1 with value 17 7 with value 22
% 0.18/0.49 ; 23 with value 13 3 with value 19 1 with value 31
% 0.18/0.49 ; The agenda of input rows to give has 3 entries:
% 0.18/0.49 ; 2 with value 23 1 with value 31
% 0.18/0.49 ; The agenda of rows to give has 8 entries:
% 0.18/0.49 ; 2 with value (4 8) 1 with value (4 16) 1 with value (4 24)
% 0.18/0.49 ; 1 with value (4 13) 3 with value (4 18)
% 0.18/0.49 Evaluation took:
% 0.18/0.49 0.034 seconds of real time
% 0.18/0.50 0.027622 seconds of user run time
% 0.18/0.50 0.006286 seconds of system run time
% 0.18/0.50 0 calls to %EVAL
% 0.18/0.50 0 page faults and
% 0.18/0.50 1,915,512 bytes consed.
% 0.18/0.50 :PROOF-FOUND
% 0.18/0.50 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T15:22:23
% 0.18/0.50 :PROOF-FOUND
% 0.18/0.50 *
%------------------------------------------------------------------------------