TSTP Solution File: SET764+4 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET764+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n011.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 05:12:00 EDT 2022
% Result : Theorem 1.05s 1.28s
% Output : Refutation 1.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 10 ( 7 unt; 1 nHn; 7 RR)
% Number of literals : 14 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-3 aty)
% Number of variables : 13 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( subset(X,Y)
| member('SKOLEMAAAU1'(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',subset) ).
cnf(6,axiom,
( equal_set(X,Y)
| ~ subset(X,Y)
| ~ subset(Y,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',equal_set) ).
cnf(15,axiom,
~ member(X,empty_set),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',empty_set) ).
cnf(98,axiom,
( ~ member(X,inverse_image2(Y,Z))
| member('SKOLEMAAAU27'(Z,Y,X),Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',inverse_image2) ).
cnf(136,negated_conjecture,
~ equal_set(inverse_image2('SKOLEMAAAU41',empty_set),empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIIa14) ).
cnf(138,plain,
subset(empty_set,X),
inference('UR-RESOLVE',[status(thm)],[2,15]) ).
cnf(205,plain,
~ member(X,inverse_image2(Y,empty_set)),
inference('UR-RESOLVE',[status(thm)],[98,15]) ).
cnf(261,plain,
~ subset(inverse_image2('SKOLEMAAAU41',empty_set),empty_set),
inference('UR-RESOLVE',[status(thm)],[6,138,136]) ).
cnf(827,plain,
subset(inverse_image2(X,empty_set),Y),
inference('UR-RESOLVE',[status(thm)],[2,205]) ).
cnf(828,plain,
$false,
inference('REWRITE',[status(thm)],[261,827]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SET764+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.10/0.12 % Command : run-snark %s %d
% 0.12/0.31 % Computer : n011.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 600
% 0.12/0.31 % DateTime : Mon Jul 11 02:46:42 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.17/0.43 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 *
% 0.17/0.43 *
% 0.17/0.44 #<PACKAGE "SNARK-USER">
% 0.17/0.44 *
% 0.17/0.44 SNARK-TPTP-OPTIONS
% 0.17/0.44 *
% 0.17/0.44 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.17/0.44 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.17/0.44 (USE-FACTORING :POS)
% 0.17/0.44 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.17/0.44 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.17/0.44 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.17/0.44 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.17/0.44 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.17/0.44 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.17/0.44 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.17/0.44 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.17/0.44 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.17/0.44 (DECLARE-TPTP-SYMBOLS2))
% 0.17/0.44 *
% 0.17/0.44 "."
% 0.17/0.44 *
% 0.17/0.44 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T02:46:42
% 0.17/0.44 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-07-11T02:46:42
% 1.05/1.28
% 1.05/1.28
% 1.05/1.28 #||
% 1.05/1.28 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.05/1.28 % SZS output start Refutation
% See solution above
% 1.05/1.28 ||#
% 1.05/1.28
% 1.05/1.28 ; Summary of computation:
% 1.05/1.28 ; 1381 formulas have been input or derived (from 160 formulas).
% 1.05/1.28 ; 828 (60%) were retained. Of these,
% 1.05/1.28 ; 7 ( 1%) were simplified or subsumed later,
% 1.05/1.28 ; 821 (99%) are still being kept.
% 1.05/1.28 ;
% 1.05/1.28 ; Run time in seconds excluding printing time:
% 1.05/1.28 ; 0.011 1% Read assertion file (1 call)
% 1.05/1.28 ; 0.005 1% Assert (29 calls)
% 1.05/1.28 ; 0.054 7% Process new row (1,185 calls)
% 1.05/1.28 ; 0.678 83% Resolution (318 calls)
% 1.05/1.28 ; 0.000 0% Paramodulation (159 calls)
% 1.05/1.28 ; 0.000 0% Factoring (41 calls)
% 1.05/1.28 ; 0.004 0% Condensing (335 calls)
% 1.05/1.28 ; 0.009 1% Forward subsumption (335 calls)
% 1.05/1.28 ; 0.003 0% Backward subsumption (301 calls)
% 1.05/1.28 ; 0.000 0% Clause clause subsumption (258 calls)
% 1.05/1.28 ; 0.019 2% Forward simplification (1,185 calls)
% 1.05/1.28 ; 0.004 0% Backward simplification (828 calls)
% 1.05/1.28 ; 0.002 0% Ordering (517 calls)
% 1.05/1.28 ; 0.001 0% Sortal reasoning (32 calls)
% 1.05/1.28 ; 0.002 0% Purity testing (1 call)
% 1.05/1.28 ; 0.027 3% Other
% 1.05/1.28 ; 0.819 Total
% 1.05/1.28 ; 0.836 Real time
% 1.05/1.28 ;
% 1.05/1.28 ; Term-hash-array has 1,427 terms in all.
% 1.05/1.28 ; Feature-vector-row-index has 301 entries (301 at peak, 301 added, 0 deleted).
% 1.05/1.28 ; Feature-vector-row-index has 870 nodes (870 at peak, 870 added, 0 deleted).
% 1.05/1.28 ; Retrieved 485 possibly forward subsuming rows in 335 calls.
% 1.05/1.28 ; Retrieved 84 possibly backward subsumed rows in 301 calls.
% 1.05/1.28 ; Path-index has 1,424 entries (1,425 at peak, 1,431 added, 7 deleted).
% 1.05/1.28 ; Path-index has 4,375 nodes (4,376 at peak, 4,376 added, 1 deleted).
% 1.05/1.28 ; Trie-index has 1,424 entries (1,425 at peak, 1,431 added, 7 deleted).
% 1.05/1.28 ; Trie-index has 4,326 nodes (4,329 at peak, 4,335 added, 9 deleted).
% 1.05/1.28 ; Retrieved 530 generalization terms in 1,563 calls.
% 1.05/1.28 ; Retrieved 630 instance terms in 526 calls.
% 1.05/1.28 ; Retrieved 1,796,531 unifiable terms in 29,990 calls.
% 1.05/1.28 ;
% 1.05/1.28 ; The agenda of rows to process has 112 entries:
% 1.05/1.28 ; 2 with value 9 43 with value 12 4 with value 18
% 1.05/1.28 ; 9 with value 10 11 with value 13 8 with value 19
% 1.05/1.28 ; 15 with value 11 16 with value 14 4 with value 20
% 1.05/1.28 ; The agenda of rows to give has 661 entries:
% 1.05/1.28 ; 10 with value (4 8) 27 with value (4 20) 2 with value (4 31)
% 1.05/1.28 ; 29 with value (4 9) 11 with value (4 21) 8 with value (4 32)
% 1.05/1.28 ; 47 with value (4 10) 12 with value (4 22) 1 with value (4 33)
% 1.05/1.28 ; 79 with value (4 11) 12 with value (4 23) 7 with value (4 34)
% 1.05/1.28 ; 89 with value (4 12) 10 with value (4 24) 7 with value (4 35)
% 1.05/1.28 ; 76 with value (4 13) 4 with value (4 25) 6 with value (4 36)
% 1.05/1.28 ; 57 with value (4 14) 6 with value (4 26) 7 with value (4 37)
% 1.05/1.28 ; 3 with value (4 15) 4 with value (4 27) 2 with value (4 38)
% 1.05/1.28 ; 14 with value (4 16) 2 with value (4 28) 2 with value (4 39)
% 1.05/1.28 ; 16 with value (4 17) 3 with value (4 29) 4 with value (4 40)
% 1.05/1.28 ; 42 with value (4 18) 4 with value (4 30) 6 with value (4 41)
% 1.05/1.28 ; 52 with value (4 19)
% 1.05/1.28 Evaluation took:
% 1.05/1.28 0.837 seconds of real time
% 1.05/1.28 0.790324 seconds of user run time
% 1.05/1.28 0.031999 seconds of system run time
% 1.05/1.28 [Run times include 0.046 seconds GC run time.]
% 1.05/1.28 0 calls to %EVAL
% 1.05/1.28 0 page faults and
% 1.05/1.28 65,465,640 bytes consed.
% 1.05/1.28 :PROOF-FOUND
% 1.05/1.28 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T02:46:43
% 1.05/1.28 :PROOF-FOUND
% 1.05/1.28 *
%------------------------------------------------------------------------------