TSTP Solution File: SYO655-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SYO655-1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n014.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 19:44:48 EDT 2022
% Result : Unsatisfiable 0.61s 0.78s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of clauses : 19 ( 8 unt; 9 nHn; 15 RR)
% Number of literals : 77 ( 0 equ; 48 neg)
% Maximal clause size : 24 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 19 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_5,axiom,
( ~ 'LE'(f(suc(X)),s('0'))
| 'E'('0',f(suc(X)))
| 'LE'(f(X),'0') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
cnf(clause_269,axiom,
~ 'LE'(f(z),'0'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_269) ).
cnf(clause_125,axiom,
( ~ 'E'('0',f(suc(suc(X))))
| ~ 'E'('0',f(suc(Y)))
| ~ iLEQ(suc(X),suc(Y))
| ~ 'E'('0',f(suc(Z)))
| ~ 'E'('0',f(suc(suc(Z))))
| ~ 'E'('0',f(suc(U)))
| ~ iLEQ(suc(U),suc(X))
| ~ 'E'('0',f(Y))
| ~ 'E'('0',f(suc(suc(Y))))
| ~ 'E'('0',f(suc(suc(V))))
| ~ 'E'('0',f(Z))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'('0',f(suc(suc(U))))
| ~ iLEQ(suc(Y),suc(V))
| ~ 'E'('0',f(X))
| ~ 'E'('0',f(U))
| ~ 'E'('0',f(suc(X)))
| ~ 'E'(f(Z),f(suc(Z)))
| ~ 'E'(f(Y),f(suc(Y)))
| ~ 'E'(f(V),f(suc(V)))
| ~ 'E'('0',f(V))
| ~ 'E'('0',f(suc(V)))
| ~ 'E'(f(U),f(suc(U)))
| ~ iLEQ(suc(Z),suc(U)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_125) ).
cnf(clause_209,axiom,
( ~ 'E'('0',f(suc(X)))
| ~ iLEQ(suc(Y),suc(X))
| ~ 'E'('0',f(suc(Z)))
| ~ 'E'('0',f(suc(U)))
| ~ iLEQ(suc(U),suc(Y))
| ~ 'E'('0',f(X))
| ~ 'E'('0',f(Z))
| ~ iLEQ(suc(X),suc(V))
| ~ 'E'('0',f(Y))
| ~ 'E'('0',f(U))
| ~ 'E'('0',f(suc(Y)))
| ~ 'E'('0',f(V))
| ~ 'E'('0',f(suc(V)))
| ~ iLEQ(suc(Z),suc(U))
| 'E'(f(Y),f(suc(Y)))
| 'E'(f(Z),f(suc(Z)))
| 'E'(f(X),f(suc(X)))
| 'E'(f(V),f(suc(V)))
| 'E'(f(U),f(suc(U))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_209) ).
cnf(clause_379,axiom,
( ~ 'E'('0',f(suc(suc(X))))
| ~ 'E'('0',f(suc(X)))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'('0',f(X))
| iLEQ(suc(X),suc(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_379) ).
cnf(clause_84,axiom,
( ~ 'E'('0',f(X))
| ~ 'E'('0',f(suc(X)))
| 'E'(f(X),f(suc(X)))
| iLEQ(suc(X),suc(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_84) ).
cnf(clause_72,axiom,
( ~ 'LE'(f(suc(suc(X))),s('0'))
| 'E'('0',f(suc(suc(X))))
| 'LE'(f(X),'0') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_72) ).
cnf(clause_497,axiom,
'LE'(f(X),s('0')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_497) ).
cnf(clause_513,axiom,
( ~ 'LE'(f(X),s('0'))
| 'E'('0',f(X))
| 'LE'(f(X),'0') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_513) ).
cnf(38,plain,
( 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference('REWRITE',[status(thm)],[clause_513,clause_497]) ).
cnf(41,plain,
( 'E'('0',f(suc(suc(X))))
| 'LE'(f(X),'0') ),
inference('REWRITE',[status(thm)],[clause_72,clause_497]) ).
cnf(42,plain,
( 'E'('0',f(suc(X)))
| 'LE'(f(X),'0') ),
inference('REWRITE',[status(thm)],[clause_5,clause_497]) ).
cnf(43,plain,
'E'('0',f(z)),
inference('HYPERRESOLVE',[status(thm)],[clause_269,38]) ).
cnf(44,plain,
'E'('0',f(suc(z))),
inference('HYPERRESOLVE',[status(thm)],[clause_269,42]) ).
cnf(45,plain,
'E'('0',f(suc(suc(z)))),
inference('HYPERRESOLVE',[status(thm)],[clause_269,41]) ).
cnf(46,plain,
( 'E'(f(z),f(suc(z)))
| iLEQ(suc(z),suc(z)) ),
inference('HYPERRESOLVE',[status(thm)],[clause_84,44,43]) ).
cnf(48,plain,
'E'(f(z),f(suc(z))),
inference('HYPERRESOLVE',[status(thm)],[clause_209,46,44,46,44,44,46,43,43,46,43,43,44,43,44]) ).
cnf(49,plain,
iLEQ(suc(z),suc(z)),
inference('HYPERRESOLVE',[status(thm)],[clause_379,48,45,44,43]) ).
cnf(50,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[clause_125,48,45,44,44,45,44,43,45,45,43,45,43,43,44,48,48,48,43,44,48]),49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYO655-1 : TPTP v8.1.0. Released v7.3.0.
% 0.10/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n014.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 : Sat Jul 9 09:02:06 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T09:02:06
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-07-09T09:02:06
% 0.61/0.78
% 0.61/0.78
% 0.61/0.78 #||
% 0.61/0.78 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.78 % SZS output start Refutation
% See solution above
% 0.61/0.79 ||#
% 0.61/0.79
% 0.61/0.79 ; Summary of computation:
% 0.61/0.79 ; 61 formulas have been input or derived (from 45 formulas).
% 0.61/0.79 ; 50 (82%) were retained. Of these,
% 0.61/0.79 ; 4 ( 8%) were simplified or subsumed later,
% 0.61/0.79 ; 46 (92%) are still being kept.
% 0.61/0.79 ;
% 0.61/0.79 ; Run time in seconds excluding printing time:
% 0.61/0.79 ; 0.050 15% Read assertion file (1 call)
% 0.61/0.79 ; 0.022 7% Assert (39 calls)
% 0.61/0.79 ; 0.007 2% Process new row (49 calls)
% 0.61/0.79 ; 0.069 21% Resolution (88 calls)
% 0.61/0.79 ; 0.004 1% Paramodulation (44 calls)
% 0.61/0.79 ; 0.000 0% Factoring (4 calls)
% 0.61/0.79 ; 0.024 7% Condensing (41 calls)
% 0.61/0.79 ; 0.003 1% Forward subsumption (41 calls)
% 0.61/0.79 ; 0.007 2% Backward subsumption (41 calls)
% 0.61/0.79 ; 0.113 35% Clause clause subsumption (224 calls)
% 0.61/0.79 ; 0.005 2% Forward simplification (49 calls)
% 0.61/0.79 ; 0.001 0% Backward simplification (49 calls)
% 0.61/0.79 ; 0.000 0% Ordering (10 calls)
% 0.61/0.79 ; 0.000 0% Sortal reasoning (32 calls)
% 0.61/0.79 ; 0.000 0% Purity testing (1 call)
% 0.61/0.79 ; 0.019 6% Other
% 0.61/0.79 ; 0.324 Total
% 0.61/0.79 ; 0.327 Real time
% 0.61/0.79 ;
% 0.61/0.79 ; Term-hash-array has 71 terms in all.
% 0.61/0.79 ; Feature-vector-row-index has 38 entries (39 at peak, 41 added, 3 deleted).
% 0.61/0.79 ; Feature-vector-row-index has 130 nodes (137 at peak, 158 added, 28 deleted).
% 0.61/0.79 ; Retrieved 113 possibly forward subsuming rows in 41 calls.
% 0.61/0.79 ; Retrieved 111 possibly backward subsumed rows in 41 calls.
% 0.61/0.79 ; Path-index has 71 entries (71 at peak, 75 added, 4 deleted).
% 0.61/0.79 ; Path-index has 62 nodes (62 at peak, 66 added, 4 deleted).
% 0.61/0.79 ; Trie-index has 71 entries (71 at peak, 75 added, 4 deleted).
% 0.61/0.79 ; Trie-index has 67 nodes (67 at peak, 79 added, 12 deleted).
% 0.61/0.79 ; Retrieved 2 generalization terms in 13 calls.
% 0.61/0.79 ; Retrieved 9 instance terms in 7 calls.
% 0.61/0.79 ; Retrieved 46,032 unifiable terms in 16,363 calls.
% 0.61/0.79 ;
% 0.61/0.79 ; The agenda of rows to give has 2 entries:
% 0.61/0.79 ; 1 with value (4 11) 1 with value (4 24)
% 0.61/0.79 Evaluation took:
% 0.61/0.79 0.327 seconds of real time
% 0.61/0.79 0.316289 seconds of user run time
% 0.61/0.79 0.010452 seconds of system run time
% 0.61/0.79 [Run times include 0.011 seconds GC run time.]
% 0.61/0.79 0 calls to %EVAL
% 0.61/0.79 0 page faults and
% 0.61/0.79 42,367,600 bytes consed.
% 0.61/0.79 :PROOF-FOUND
% 0.61/0.79 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T09:02:06
% 0.61/0.79 :PROOF-FOUND
% 0.61/0.79 *
%------------------------------------------------------------------------------