TSTP Solution File: SET616+3 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET616+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n009.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 05:10:56 EDT 2022
% Result : Theorem 1.47s 1.68s
% Output : Refutation 1.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of clauses : 23 ( 11 unt; 6 nHn; 14 RR)
% Number of literals : 42 ( 12 equ; 17 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 37 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ member('SKOLEMAAAV1'(X,Y),X)
| ~ member('SKOLEMAAAV1'(X,Y),Y)
| X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_equal) ).
cnf(2,axiom,
( member('SKOLEMAAAV1'(X,Y),X)
| member('SKOLEMAAAV1'(X,Y),Y)
| X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_equal) ).
cnf(3,axiom,
( ~ member(X,difference(Y,Z))
| member(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_defn) ).
cnf(4,axiom,
( ~ member(X,difference(Y,Z))
| ~ member(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_defn) ).
cnf(5,axiom,
( member(X,difference(Y,Z))
| ~ member(X,Y)
| member(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_defn) ).
cnf(8,axiom,
( X != Y
| ~ member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_member_defn) ).
cnf(15,negated_conjecture,
difference('SKOLEMAAAV4','SKOLEMAAAV5') = difference('SKOLEMAAAV5','SKOLEMAAAV4'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th90) ).
cnf(16,negated_conjecture,
'SKOLEMAAAV4' != 'SKOLEMAAAV5',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th90) ).
cnf(21,plain,
( ~ member(X,difference('SKOLEMAAAV5','SKOLEMAAAV4'))
| ~ member(X,'SKOLEMAAAV5') ),
inference('PARAMODULATE',[status(thm)],[4,15,theory(equality)]) ).
cnf(22,plain,
( ~ member(X,difference('SKOLEMAAAV4','SKOLEMAAAV5'))
| ~ member(X,'SKOLEMAAAV4') ),
inference('PARAMODULATE',[status(thm)],[4,15,theory(equality)]) ).
cnf(26,plain,
( member('SKOLEMAAAV1'(difference(X,Y),Z),Z)
| difference(X,Y) = Z
| member('SKOLEMAAAV1'(difference(X,Y),Z),X) ),
inference('HYPERRESOLVE',[status(thm)],[3,2]) ).
cnf(27,plain,
( member('SKOLEMAAAV1'(X,Y),Y)
| X = Y
| member('SKOLEMAAAV1'(X,Y),difference(X,Z))
| member('SKOLEMAAAV1'(X,Y),Z) ),
inference('HYPERRESOLVE',[status(thm)],[5,2]) ).
cnf(400,plain,
( member('SKOLEMAAAV1'(difference(X,X),Y),Y)
| difference(X,X) = Y ),
inference('HYPERRESOLVE',[status(thm)],[4,26,2]) ).
cnf(435,plain,
( difference(X,X) = difference(Y,Z)
| member('SKOLEMAAAV1'(difference(X,X),difference(Y,Z)),Y) ),
inference('HYPERRESOLVE',[status(thm)],[3,400]) ).
cnf(470,plain,
difference(X,X) = difference(Y,Y),
inference('HYPERRESOLVE',[status(thm)],[4,435,400]) ).
cnf(471,plain,
difference(X,X) = difference('SKOLEMAAAV4','SKOLEMAAAV5'),
inference('HYPERRESOLVE',[status(thm)],[22,435,400]) ).
cnf(472,plain,
difference(X,X) = difference('SKOLEMAAAV5','SKOLEMAAAV4'),
inference('HYPERRESOLVE',[status(thm)],[21,435,400]) ).
cnf(486,plain,
~ member(X,difference(Y,Y)),
inference('CONDENSE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[4,470,theory(equality)])]) ).
cnf(508,plain,
~ member(X,difference('SKOLEMAAAV4','SKOLEMAAAV5')),
inference('UR-RESOLVE',[status(thm)],[8,471,486]) ).
cnf(542,plain,
~ member(X,difference('SKOLEMAAAV5','SKOLEMAAAV4')),
inference('UR-RESOLVE',[status(thm)],[8,472,486]) ).
cnf(844,plain,
member('SKOLEMAAAV1'('SKOLEMAAAV4','SKOLEMAAAV5'),'SKOLEMAAAV5'),
inference('UR-RESOLVE',[status(thm)],[27,16,508]) ).
cnf(857,plain,
~ member('SKOLEMAAAV1'('SKOLEMAAAV4','SKOLEMAAAV5'),'SKOLEMAAAV4'),
inference('UR-RESOLVE',[status(thm)],[1,844,16]) ).
cnf(858,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[5,844,542]),857]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET616+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n009.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 04:23:22 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 2022-07-11T04:23:22
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-07-11T04:23:22
% 1.47/1.68
% 1.47/1.68
% 1.47/1.68 #||
% 1.47/1.68 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.47/1.68 % SZS output start Refutation
% See solution above
% 1.47/1.68 ||#
% 1.47/1.68
% 1.47/1.68 ; Summary of computation:
% 1.47/1.68 ; 9017 formulas have been input or derived (from 152 formulas).
% 1.47/1.68 ; 858 (10%) were retained. Of these,
% 1.47/1.68 ; 295 (34%) were simplified or subsumed later,
% 1.47/1.68 ; 563 (66%) are still being kept.
% 1.47/1.68 ;
% 1.47/1.68 ; Run time in seconds excluding printing time:
% 1.47/1.68 ; 0.002 0% Read assertion file (1 call)
% 1.47/1.68 ; 0.001 0% Assert (7 calls)
% 1.47/1.68 ; 0.101 8% Process new row (8,585 calls)
% 1.47/1.68 ; 0.161 13% Resolution (302 calls)
% 1.47/1.68 ; 0.018 1% Paramodulation (151 calls)
% 1.47/1.68 ; 0.001 0% Factoring (119 calls)
% 1.47/1.68 ; 0.058 5% Condensing (5,072 calls)
% 1.47/1.68 ; 0.331 27% Forward subsumption (5,071 calls)
% 1.47/1.68 ; 0.061 5% Backward subsumption (833 calls)
% 1.47/1.68 ; 0.176 15% Clause clause subsumption (55,581 calls)
% 1.47/1.68 ; 0.165 14% Forward simplification (8,560 calls)
% 1.47/1.68 ; 0.005 0% Backward simplification (858 calls)
% 1.47/1.68 ; 0.077 6% Ordering (39,955 calls)
% 1.47/1.68 ; 0.001 0% Sortal reasoning (32 calls)
% 1.47/1.68 ; 0.000 0% Purity testing (1 call)
% 1.47/1.68 ; 0.050 4% Other
% 1.47/1.68 ; 1.208 Total
% 1.47/1.68 ; 1.210 Real time
% 1.47/1.68 ;
% 1.47/1.68 ; Term-hash-array has 751 terms in all.
% 1.47/1.68 ; Feature-vector-row-index has 544 entries (544 at peak, 833 added, 289 deleted).
% 1.47/1.68 ; Feature-vector-row-index has 673 nodes (1,283 at peak, 1,806 added, 1,133 deleted).
% 1.47/1.68 ; Retrieved 107,724 possibly forward subsuming rows in 5,071 calls.
% 1.47/1.68 ; Retrieved 10,069 possibly backward subsumed rows in 833 calls.
% 1.47/1.68 ; Path-index has 515 entries (515 at peak, 803 added, 288 deleted).
% 1.47/1.68 ; Path-index has 304 nodes (334 at peak, 410 added, 106 deleted).
% 1.47/1.68 ; Trie-index has 515 entries (515 at peak, 803 added, 288 deleted).
% 1.47/1.68 ; Trie-index has 664 nodes (791 at peak, 1,206 added, 542 deleted).
% 1.47/1.68 ; Retrieved 29,836 generalization terms in 38,908 calls.
% 1.47/1.68 ; Retrieved 257 instance terms in 26 calls.
% 1.47/1.68 ; Retrieved 64,440 unifiable terms in 3,179 calls.
% 1.47/1.68 ;
% 1.47/1.68 ; The agenda of rows to process has 16 entries:
% 1.47/1.68 ; 9 with value 15 1 with value 19 1 with value 22
% 1.47/1.68 ; 1 with value 17 3 with value 20 1 with value 24
% 1.47/1.68 ; The agenda of rows to give has 432 entries:
% 1.47/1.68 ; 1 with value (4 14) 36 with value (4 31) 8 with value (4 38)
% 1.47/1.68 ; 1 with value (4 15) 30 with value (4 32) 25 with value (4 39)
% 1.47/1.68 ; 1 with value (4 20) 36 with value (4 33) 16 with value (4 40)
% 1.47/1.68 ; 2 with value (4 21) 54 with value (4 34) 7 with value (4 41)
% 1.47/1.68 ; 2 with value (4 25) 60 with value (4 35) 9 with value (4 42)
% 1.47/1.68 ; 18 with value (4 28) 37 with value (4 36) 4 with value (4 48)
% 1.47/1.68 ; 20 with value (4 29) 24 with value (4 37) 4 with value (4 62)
% 1.47/1.68 ; 37 with value (4 30)
% 1.47/1.68 Evaluation took:
% 1.47/1.68 1.211 seconds of real time
% 1.47/1.68 1.048243 seconds of user run time
% 1.47/1.68 0.162284 seconds of system run time
% 1.47/1.68 [Run times include 0.039 seconds GC run time.]
% 1.47/1.68 0 calls to %EVAL
% 1.47/1.68 0 page faults and
% 1.47/1.68 121,290,424 bytes consed.
% 1.47/1.68 :PROOF-FOUND
% 1.47/1.68 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T04:23:23
% 1.47/1.68 :PROOF-FOUND
% 1.47/1.68 *
%------------------------------------------------------------------------------