TSTP Solution File: SYO614-1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SYO614-1 : TPTP v8.1.0. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 : Thu Jul 21 19:44:34 EDT 2022
% Result : Unsatisfiable 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 12 ( 6 unt; 2 nHn; 6 RR)
% Number of literals : 20 ( 0 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 21 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(sos_01,axiom,
le(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_01) ).
cnf(sos_02,axiom,
( ~ le(max(X,Y),Z)
| le(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).
cnf(sos_03,axiom,
( ~ le(max(X,Y),Z)
| le(Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03) ).
cnf(sos_04,axiom,
( eq(f(X),a0)
| eq(f(X),a1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04) ).
cnf(sos_05,axiom,
( ~ eq(f(X),a0)
| ~ eq(f(Y),a0)
| ~ le(s(X),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_05) ).
cnf(sos_06,axiom,
( ~ eq(f(X),a1)
| ~ eq(f(Y),a1)
| ~ le(s(X),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_06) ).
cnf(7,plain,
le(X,max(X,Y)),
inference('HYPERRESOLVE',[status(thm)],[sos_02,sos_01]) ).
cnf(8,plain,
le(X,max(Y,X)),
inference('HYPERRESOLVE',[status(thm)],[sos_03,sos_01]) ).
cnf(12,plain,
( eq(f(X),a0)
| eq(f(max(s(X),Y)),a0) ),
inference('HYPERRESOLVE',[status(thm)],[sos_06,7,sos_04,sos_04]) ).
cnf(52,plain,
eq(f(X),a0),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[sos_05,12,12,8])]) ).
cnf(53,plain,
~ le(s(X),Y),
inference('REWRITE',[status(thm)],[sos_05,52]) ).
cnf(54,plain,
$false,
inference('HYPERRESOLVE',[status(thm)],[53,sos_01]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYO614-1 : TPTP v8.1.0. Released v7.1.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.11/0.33 % Computer : n024.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Sat Jul 9 11:47:13 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.45 #<PACKAGE "SNARK-USER">
% 0.18/0.45 *
% 0.18/0.45 SNARK-TPTP-OPTIONS
% 0.18/0.45 *
% 0.18/0.45 ((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/sandbox/benchmark/theBenchmark.p 2022-07-09T11:47:14
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-07-09T11:47:14
% 0.18/0.50
% 0.18/0.50
% 0.18/0.50 #||
% 0.18/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.50 % SZS output start Refutation
% See solution above
% 0.18/0.50 ||#
% 0.18/0.50
% 0.18/0.50 ; Summary of computation:
% 0.18/0.50 ; 171 formulas have been input or derived (from 24 formulas).
% 0.18/0.50 ; 54 (32%) were retained. Of these,
% 0.18/0.50 ; 18 (33%) were simplified or subsumed later,
% 0.18/0.50 ; 36 (67%) are still being kept.
% 0.18/0.50 ;
% 0.18/0.50 ; Run time in seconds excluding printing time:
% 0.18/0.50 ; 0.001 2% Read assertion file (1 call)
% 0.18/0.50 ; 0.001 2% Assert (6 calls)
% 0.18/0.50 ; 0.004 10% Process new row (88 calls)
% 0.18/0.50 ; 0.005 12% Resolution (46 calls)
% 0.18/0.50 ; 0.000 0% Paramodulation (23 calls)
% 0.18/0.50 ; 0.000 0% Factoring (3 calls)
% 0.18/0.50 ; 0.000 0% Condensing (23 calls)
% 0.18/0.50 ; 0.000 0% Forward subsumption (22 calls)
% 0.18/0.50 ; 0.001 2% Backward subsumption (20 calls)
% 0.18/0.50 ; 0.000 0% Clause clause subsumption (74 calls)
% 0.18/0.50 ; 0.003 7% Forward simplification (84 calls)
% 0.18/0.50 ; 0.001 2% Backward simplification (54 calls)
% 0.18/0.50 ; 0.001 2% Ordering (32 calls)
% 0.18/0.50 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.50 ; 0.000 0% Purity testing (1 call)
% 0.18/0.50 ; 0.024 59% Other
% 0.18/0.50 ; 0.041 Total
% 0.18/0.50 ; 0.042 Real time
% 0.18/0.50 ;
% 0.18/0.50 ; Term-hash-array has 146 terms in all.
% 0.18/0.50 ; Feature-vector-row-index has 2 entries (20 at peak, 20 added, 18 deleted).
% 0.18/0.50 ; Feature-vector-row-index has 4 nodes (47 at peak, 47 added, 43 deleted).
% 0.18/0.50 ; Retrieved 38 possibly forward subsuming rows in 22 calls.
% 0.18/0.50 ; Retrieved 36 possibly backward subsumed rows in 20 calls.
% 0.18/0.50 ; Path-index has 91 entries (148 at peak, 148 added, 57 deleted).
% 0.18/0.50 ; Path-index has 260 nodes (334 at peak, 334 added, 74 deleted).
% 0.18/0.50 ; Trie-index has 91 entries (148 at peak, 148 added, 57 deleted).
% 0.18/0.50 ; Trie-index has 144 nodes (328 at peak, 328 added, 184 deleted).
% 0.18/0.50 ; Retrieved 231 generalization terms in 66 calls.
% 0.18/0.50 ; Retrieved 64 instance terms in 33 calls.
% 0.18/0.50 ; Retrieved 934 unifiable terms in 275 calls.
% 0.18/0.50 ;
% 0.18/0.50 ; The agenda of rows to process has 2 entries:
% 0.18/0.50 ; 2 with value 10
% 0.18/0.50 ; The agenda of rows to give has 17 entries:
% 0.18/0.50 ; 1 with value (4 9) 16 with value (4 20)
% 0.18/0.50 Evaluation took:
% 0.18/0.50 0.043 seconds of real time
% 0.18/0.50 0.039668 seconds of user run time
% 0.18/0.50 0.003059 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 2,739,120 bytes consed.
% 0.18/0.50 :PROOF-FOUND
% 0.18/0.50 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T11:47:14
% 0.18/0.50 :PROOF-FOUND
% 0.18/0.50 *
%------------------------------------------------------------------------------