TSTP Solution File: SET162+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET162+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n008.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 05:07:58 EDT 2022
% Result : Theorem 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 10 ( 5 unt; 3 nHn; 7 RR)
% Number of literals : 19 ( 4 equ; 7 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 14 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ member(X,union(Y,Z))
| member(X,Y)
| member(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn) ).
cnf(2,axiom,
( member(X,union(Y,Z))
| ~ member(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn) ).
cnf(3,axiom,
~ member(X,empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',empty_set_defn) ).
cnf(13,axiom,
( X = Y
| ~ member('SKOLEMAAAV3'(X,Y),X)
| ~ member('SKOLEMAAAV3'(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_member_defn) ).
cnf(14,axiom,
( X = Y
| member('SKOLEMAAAV3'(X,Y),X)
| member('SKOLEMAAAV3'(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_member_defn) ).
cnf(15,negated_conjecture,
union('SKOLEMAAAV4',empty_set) != 'SKOLEMAAAV4',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_union_empty_set) ).
cnf(25,plain,
( X = Y
| member('SKOLEMAAAV3'(X,Y),Y)
| member('SKOLEMAAAV3'(X,Y),union(X,Z)) ),
inference('HYPERRESOLVE',[status(thm)],[2,14]) ).
cnf(82,plain,
member('SKOLEMAAAV3'('SKOLEMAAAV4',union('SKOLEMAAAV4',empty_set)),union('SKOLEMAAAV4',empty_set)),
inference('UR-RESOLVE',[status(thm)],[25,15]) ).
cnf(92,plain,
~ member('SKOLEMAAAV3'('SKOLEMAAAV4',union('SKOLEMAAAV4',empty_set)),'SKOLEMAAAV4'),
inference('UR-RESOLVE',[status(thm)],[13,82,15]) ).
cnf(93,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[1,82,3]),92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET162+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n008.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 : Mon Jul 11 02:49:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T02:49:23
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-07-11T02:49:23
% 0.19/0.48
% 0.19/0.48 ; Recognized commutativity assertion (= (|union| ?X ?Y) (|union| ?Y ?X)).
% 0.19/0.54 ; Declaring union to be commutative.
% 0.19/0.54
% 0.19/0.54 #||
% 0.19/0.54 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.54 % SZS output start Refutation
% See solution above
% 0.19/0.54 ||#
% 0.19/0.54
% 0.19/0.54 ; Summary of computation:
% 0.19/0.54 ; 368 formulas have been input or derived (from 39 formulas).
% 0.19/0.54 ; 93 (25%) were retained. Of these,
% 0.19/0.54 ; 3 ( 3%) were simplified or subsumed later,
% 0.19/0.54 ; 90 (97%) are still being kept.
% 0.19/0.54 ;
% 0.19/0.54 ; Run time in seconds excluding printing time:
% 0.19/0.54 ; 0.002 3% Read assertion file (1 call)
% 0.19/0.54 ; 0.001 1% Assert (9 calls)
% 0.19/0.54 ; 0.014 19% Process new row (277 calls)
% 0.19/0.54 ; 0.008 11% Resolution (76 calls)
% 0.19/0.54 ; 0.000 0% Paramodulation (38 calls)
% 0.19/0.54 ; 0.000 0% Factoring (21 calls)
% 0.19/0.54 ; 0.005 7% Condensing (178 calls)
% 0.19/0.54 ; 0.006 8% Forward subsumption (178 calls)
% 0.19/0.54 ; 0.000 0% Backward subsumption (78 calls)
% 0.19/0.54 ; 0.001 1% Clause clause subsumption (587 calls)
% 0.19/0.54 ; 0.009 12% Forward simplification (272 calls)
% 0.19/0.54 ; 0.000 0% Backward simplification (93 calls)
% 0.19/0.54 ; 0.004 5% Ordering (668 calls)
% 0.19/0.54 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.54 ; 0.000 0% Purity testing (1 call)
% 0.19/0.54 ; 0.025 33% Other
% 0.19/0.54 ; 0.075 Total
% 0.19/0.54 ; 0.076 Real time
% 0.19/0.54 ;
% 0.19/0.54 ; Term-hash-array has 145 terms in all.
% 0.19/0.54 ; Feature-vector-row-index has 78 entries (78 at peak, 78 added, 0 deleted).
% 0.19/0.54 ; Feature-vector-row-index has 195 nodes (195 at peak, 195 added, 0 deleted).
% 0.19/0.54 ; Retrieved 698 possibly forward subsuming rows in 178 calls.
% 0.19/0.54 ; Retrieved 87 possibly backward subsumed rows in 78 calls.
% 0.19/0.54 ; Path-index has 144 entries (144 at peak, 147 added, 3 deleted).
% 0.19/0.54 ; Path-index has 119 nodes (119 at peak, 122 added, 3 deleted).
% 0.19/0.54 ; Trie-index has 144 entries (144 at peak, 147 added, 3 deleted).
% 0.19/0.54 ; Trie-index has 273 nodes (273 at peak, 281 added, 8 deleted).
% 0.19/0.54 ; Retrieved 127 generalization terms in 744 calls.
% 0.19/0.54 ; Retrieved 17 instance terms in 14 calls.
% 0.19/0.54 ; Retrieved 1,918 unifiable terms in 373 calls.
% 0.19/0.54 ;
% 0.19/0.54 ; The agenda of rows to process has 4 entries:
% 0.19/0.54 ; 1 with value 15 1 with value 23 1 with value 25
% 0.19/0.54 ; 1 with value 17
% 0.19/0.54 ; The agenda of rows to give has 52 entries:
% 0.19/0.54 ; 1 with value (4 9) 3 with value (4 25) 1 with value (4 33)
% 0.19/0.54 ; 2 with value (4 10) 4 with value (4 26) 1 with value (4 35)
% 0.19/0.54 ; 1 with value (4 13) 2 with value (4 27) 1 with value (4 37)
% 0.19/0.54 ; 1 with value (4 20) 4 with value (4 28) 2 with value (4 38)
% 0.19/0.54 ; 2 with value (4 21) 4 with value (4 29) 1 with value (4 39)
% 0.19/0.54 ; 1 with value (4 22) 1 with value (4 30) 2 with value (4 40)
% 0.19/0.54 ; 7 with value (4 23) 3 with value (4 31) 1 with value (4 41)
% 0.19/0.54 ; 4 with value (4 24) 3 with value (4 32)
% 0.19/0.54 Evaluation took:
% 0.19/0.54 0.076 seconds of real time
% 0.19/0.54 0.065629 seconds of user run time
% 0.19/0.54 0.01112 seconds of system run time
% 0.19/0.54 0 calls to %EVAL
% 0.19/0.54 0 page faults and
% 0.19/0.54 4,298,872 bytes consed.
% 0.19/0.54 :PROOF-FOUND
% 0.19/0.54 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T02:49:23
% 0.19/0.55 :PROOF-FOUND
% 0.19/0.55 *
%------------------------------------------------------------------------------