TSTP Solution File: SYO650-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SYO650-1 : TPTP v8.1.0. Released v7.3.0.
% 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 : Thu Jul 21 19:44:46 EDT 2022
% Result : Unsatisfiable 0.43s 0.62s
% Output : Refutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of clauses : 26 ( 10 unt; 14 nHn; 21 RR)
% Number of literals : 99 ( 0 equ; 59 neg)
% Maximal clause size : 20 ( 3 avg)
% Maximal term depth : 5 ( 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 : 21 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_278,axiom,
( ~ 'LE'(f(X),s('0'))
| 'E'('0',f(X))
| 'LE'(f(X),'0') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_278) ).
cnf(clause_406,axiom,
'LE'(f(X),s('0')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_406) ).
cnf(clause_359,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_359) ).
cnf(12,plain,
( 'E'('0',f(suc(suc(X))))
| 'LE'(f(X),'0') ),
inference('REWRITE',[status(thm)],[clause_359,clause_406]) ).
cnf(clause_189,axiom,
( ~ 'E'('0',f(suc(suc(suc(X)))))
| ~ 'E'('0',f(suc(X)))
| ~ 'E'('0',f(suc(suc(X))))
| ~ 'E'('0',f(X))
| ~ 'E'(f(X),f(suc(suc(X))))
| ~ 'E'(f(X),f(suc(X)))
| iLEQ(suc(X),suc(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_189) ).
cnf(clause_309,axiom,
( ~ 'E'('0',f(suc(suc(X))))
| ~ iLEQ(suc(Y),suc(X))
| ~ 'E'('0',f(suc(Z)))
| ~ 'E'('0',f(suc(Y)))
| ~ 'E'(f(Z),f(suc(Z)))
| ~ 'E'('0',f(suc(suc(Y))))
| ~ 'E'('0',f(Y))
| ~ 'E'('0',f(suc(suc(Z))))
| ~ iLEQ(suc(X),suc(Z))
| ~ 'E'(f(Y),f(suc(Y)))
| ~ 'E'('0',f(X))
| ~ 'E'('0',f(Z))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'('0',f(suc(X)))
| 'E'(f(Y),f(suc(suc(Y))))
| 'E'(f(X),f(suc(suc(X))))
| 'E'(f(Z),f(suc(suc(Z)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_309) ).
cnf(clause_313,axiom,
( ~ 'LE'(f(suc(X)),s('0'))
| 'E'('0',f(suc(X)))
| 'LE'(f(X),'0') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_313) ).
cnf(21,plain,
( 'E'('0',f(suc(X)))
| 'LE'(f(X),'0') ),
inference('REWRITE',[status(thm)],[clause_313,clause_406]) ).
cnf(clause_333,axiom,
( ~ iLEQ(suc(X),suc(Y))
| ~ 'E'('0',f(suc(Z)))
| ~ 'E'('0',f(suc(X)))
| ~ 'E'('0',f(X))
| ~ iLEQ(suc(Y),suc(Z))
| ~ 'E'('0',f(Y))
| ~ 'E'('0',f(Z))
| ~ 'E'('0',f(suc(Y)))
| 'E'(f(X),f(suc(X)))
| 'E'(f(Y),f(suc(Y)))
| 'E'(f(Z),f(suc(Z))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_333) ).
cnf(clause_376,axiom,
( ~ 'LE'(f(suc(suc(suc(X)))),s('0'))
| 'E'('0',f(suc(suc(suc(X)))))
| 'LE'(f(X),'0') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_376) ).
cnf(25,plain,
( 'E'('0',f(suc(suc(suc(X)))))
| 'LE'(f(X),'0') ),
inference('REWRITE',[status(thm)],[clause_376,clause_406]) ).
cnf(clause_135,axiom,
( ~ 'E'('0',f(suc(suc(suc(X)))))
| ~ 'E'('0',f(suc(suc(Y))))
| ~ iLEQ(suc(X),suc(Y))
| ~ 'E'('0',f(suc(Z)))
| ~ 'E'('0',f(suc(X)))
| ~ 'E'(f(Z),f(suc(Z)))
| ~ 'E'('0',f(suc(suc(X))))
| ~ 'E'('0',f(X))
| ~ 'E'('0',f(suc(suc(Z))))
| ~ 'E'('0',f(suc(suc(suc(Y)))))
| ~ 'E'(f(X),f(suc(suc(X))))
| ~ iLEQ(suc(Y),suc(Z))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'('0',f(Y))
| ~ 'E'(f(Z),f(suc(suc(Z))))
| ~ 'E'(f(Y),f(suc(suc(Y))))
| ~ 'E'('0',f(suc(suc(suc(Z)))))
| ~ 'E'('0',f(Z))
| ~ 'E'(f(Y),f(suc(Y)))
| ~ 'E'('0',f(suc(Y))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_135) ).
cnf(clause_345,axiom,
( ~ 'E'('0',f(suc(suc(X))))
| ~ 'E'('0',f(suc(X)))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'('0',f(X))
| 'E'(f(X),f(suc(suc(X))))
| iLEQ(suc(X),suc(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_345) ).
cnf(clause_206,axiom,
~ 'LE'(f(z),'0'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_206) ).
cnf(clause_64,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_64) ).
cnf(40,plain,
( 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference('REWRITE',[status(thm)],[clause_278,clause_406]) ).
cnf(41,plain,
'E'('0',f(z)),
inference('HYPERRESOLVE',[status(thm)],[clause_206,40]) ).
cnf(42,plain,
'E'('0',f(suc(z))),
inference('HYPERRESOLVE',[status(thm)],[clause_206,21]) ).
cnf(43,plain,
'E'('0',f(suc(suc(z)))),
inference('HYPERRESOLVE',[status(thm)],[clause_206,12]) ).
cnf(44,plain,
'E'('0',f(suc(suc(suc(z))))),
inference('HYPERRESOLVE',[status(thm)],[clause_206,25]) ).
cnf(45,plain,
( 'E'(f(z),f(suc(z)))
| iLEQ(suc(z),suc(z)) ),
inference('HYPERRESOLVE',[status(thm)],[clause_64,42,41]) ).
cnf(48,plain,
'E'(f(z),f(suc(z))),
inference('HYPERRESOLVE',[status(thm)],[clause_333,45,42,42,41,45,41,41,42]) ).
cnf(49,plain,
( 'E'(f(z),f(suc(suc(z))))
| iLEQ(suc(z),suc(z)) ),
inference('HYPERRESOLVE',[status(thm)],[clause_345,48,43,42,41]) ).
cnf(50,plain,
'E'(f(z),f(suc(suc(z)))),
inference('HYPERRESOLVE',[status(thm)],[clause_309,49,43,42,42,48,43,41,43,49,48,41,41,48,42]) ).
cnf(51,plain,
iLEQ(suc(z),suc(z)),
inference('HYPERRESOLVE',[status(thm)],[clause_189,50,44,42,43,41,48]) ).
cnf(52,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[clause_135,50,44,43,42,42,48,43,41,43,44,48,41,50,50,44,41,48,42]),51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYO650-1 : TPTP v8.1.0. Released v7.3.0.
% 0.10/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jul 9 01:55:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((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/sandbox2/benchmark/theBenchmark.p 2022-07-09T01:55:07
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-07-09T01:55:07
% 0.43/0.62
% 0.43/0.62
% 0.43/0.62 #||
% 0.43/0.62 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.43/0.62 % SZS output start Refutation
% See solution above
% 0.43/0.63 ||#
% 0.43/0.63
% 0.43/0.63 ; Summary of computation:
% 0.43/0.63 ; 75 formulas have been input or derived (from 45 formulas).
% 0.43/0.63 ; 52 (69%) were retained. Of these,
% 0.43/0.63 ; 6 (12%) were simplified or subsumed later,
% 0.43/0.63 ; 46 (88%) are still being kept.
% 0.43/0.63 ;
% 0.43/0.63 ; Run time in seconds excluding printing time:
% 0.43/0.63 ; 0.035 22% Read assertion file (1 call)
% 0.43/0.63 ; 0.012 8% Assert (36 calls)
% 0.43/0.63 ; 0.007 4% Process new row (50 calls)
% 0.43/0.63 ; 0.045 29% Resolution (88 calls)
% 0.43/0.63 ; 0.006 4% Paramodulation (44 calls)
% 0.43/0.63 ; 0.000 0% Factoring (6 calls)
% 0.43/0.63 ; 0.005 3% Condensing (39 calls)
% 0.43/0.63 ; 0.006 4% Forward subsumption (39 calls)
% 0.43/0.63 ; 0.006 4% Backward subsumption (39 calls)
% 0.43/0.63 ; 0.008 5% Clause clause subsumption (149 calls)
% 0.43/0.63 ; 0.005 3% Forward simplification (49 calls)
% 0.43/0.63 ; 0.000 0% Backward simplification (49 calls)
% 0.43/0.63 ; 0.000 0% Ordering (16 calls)
% 0.43/0.63 ; 0.000 0% Sortal reasoning (32 calls)
% 0.43/0.63 ; 0.000 0% Purity testing (1 call)
% 0.43/0.63 ; 0.022 14% Other
% 0.43/0.63 ; 0.157 Total
% 0.43/0.63 ; 0.166 Real time
% 0.43/0.63 ;
% 0.43/0.63 ; Term-hash-array has 66 terms in all.
% 0.43/0.63 ; Feature-vector-row-index has 36 entries (37 at peak, 39 added, 3 deleted).
% 0.43/0.63 ; Feature-vector-row-index has 208 nodes (215 at peak, 232 added, 24 deleted).
% 0.43/0.63 ; Retrieved 71 possibly forward subsuming rows in 39 calls.
% 0.43/0.63 ; Retrieved 78 possibly backward subsumed rows in 39 calls.
% 0.43/0.63 ; Path-index has 68 entries (68 at peak, 71 added, 3 deleted).
% 0.43/0.63 ; Path-index has 75 nodes (75 at peak, 80 added, 5 deleted).
% 0.43/0.63 ; Trie-index has 68 entries (68 at peak, 71 added, 3 deleted).
% 0.43/0.63 ; Trie-index has 93 nodes (93 at peak, 100 added, 7 deleted).
% 0.43/0.63 ; Retrieved 4 generalization terms in 18 calls.
% 0.43/0.63 ; Retrieved 9 instance terms in 9 calls.
% 0.43/0.63 ; Retrieved 34,137 unifiable terms in 9,430 calls.
% 0.46/0.63 ;
% 0.46/0.63 ; The agenda of rows to process has 2 entries:
% 0.46/0.63 ; 2 with value 13
% 0.46/0.63 ; The agenda of rows to give has 3 entries:
% 0.46/0.63 ; 1 with value (4 13) 1 with value (4 24) 1 with value (4 30)
% 0.46/0.63 Evaluation took:
% 0.46/0.63 0.166 seconds of real time
% 0.46/0.63 0.158094 seconds of user run time
% 0.46/0.63 0.008172 seconds of system run time
% 0.46/0.63 [Run times include 0.004 seconds GC run time.]
% 0.46/0.63 0 calls to %EVAL
% 0.46/0.63 0 page faults and
% 0.46/0.63 14,646,752 bytes consed.
% 0.46/0.63 :PROOF-FOUND
% 0.46/0.63 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T01:55:07
% 0.46/0.63 :PROOF-FOUND
% 0.46/0.63 *
%------------------------------------------------------------------------------