TSTP Solution File: SYO652-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SYO652-1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 19:44:47 EDT 2022
% Result : Unsatisfiable 0.19s 0.58s
% Output : Refutation 0.19s
% 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 : 68 ( 0 equ; 40 neg)
% Maximal clause size : 19 ( 3 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 : 17 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_16,axiom,
( ~ 'E'('0',f(suc(X)))
| ~ iLEQ(suc(Y),suc(Z))
| ~ 'E'('0',f(suc(U)))
| ~ 'E'('0',f(X))
| ~ 'E'('0',f(U))
| ~ 'E'('0',f(Z))
| ~ 'E'('0',f(suc(Y)))
| ~ iLEQ(suc(U),suc(X))
| ~ 'E'('0',f(suc(Z)))
| ~ 'E'('0',f(Y))
| ~ iLEQ(suc(X),suc(Y))
| 'E'(f(U),f(suc(U)))
| 'E'(f(X),f(suc(X)))
| 'E'(f(Y),f(suc(Y)))
| 'E'(f(Z),f(suc(Z))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16) ).
cnf(clause_149,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/sandbox/benchmark/theBenchmark.p',clause_149) ).
cnf(clause_199,axiom,
'LE'(f(X),s('0')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_199) ).
cnf(clause_191,axiom,
( ~ 'LE'(f(suc(X)),s('0'))
| 'E'('0',f(suc(X)))
| 'LE'(f(X),'0') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_191) ).
cnf(8,plain,
( 'E'('0',f(suc(X)))
| 'LE'(f(X),'0') ),
inference('REWRITE',[status(thm)],[clause_191,clause_199]) ).
cnf(clause_96,axiom,
( ~ 'E'('0',f(suc(X)))
| ~ iLEQ(suc(Y),suc(Z))
| ~ 'E'('0',f(suc(suc(X))))
| ~ 'E'('0',f(suc(U)))
| ~ 'E'('0',f(suc(suc(U))))
| ~ 'E'('0',f(X))
| ~ 'E'('0',f(U))
| ~ 'E'('0',f(Z))
| ~ 'E'('0',f(suc(Y)))
| ~ 'E'(f(Y),f(suc(Y)))
| ~ 'E'('0',f(suc(suc(Y))))
| ~ 'E'(f(U),f(suc(U)))
| ~ 'E'(f(X),f(suc(X)))
| ~ iLEQ(suc(U),suc(X))
| ~ 'E'('0',f(suc(Z)))
| ~ 'E'('0',f(Y))
| ~ 'E'('0',f(suc(suc(Z))))
| ~ 'E'(f(Z),f(suc(Z)))
| ~ iLEQ(suc(X),suc(Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_96) ).
cnf(clause_17,axiom,
( ~ 'LE'(f(X),s('0'))
| 'E'('0',f(X))
| 'LE'(f(X),'0') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_17) ).
cnf(14,plain,
( 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference('REWRITE',[status(thm)],[clause_17,clause_199]) ).
cnf(clause_3,axiom,
( ~ 'LE'(f(suc(suc(X))),s('0'))
| 'E'('0',f(suc(suc(X))))
| 'LE'(f(X),'0') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
cnf(17,plain,
( 'E'('0',f(suc(suc(X))))
| 'LE'(f(X),'0') ),
inference('REWRITE',[status(thm)],[clause_3,clause_199]) ).
cnf(clause_99,axiom,
~ 'LE'(f(z),'0'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_99) ).
cnf(clause_44,axiom,
( ~ 'E'('0',f(X))
| ~ 'E'('0',f(suc(X)))
| 'E'(f(X),f(suc(X)))
| iLEQ(suc(X),suc(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_44) ).
cnf(27,plain,
'E'('0',f(z)),
inference('HYPERRESOLVE',[status(thm)],[clause_99,14]) ).
cnf(28,plain,
'E'('0',f(suc(z))),
inference('HYPERRESOLVE',[status(thm)],[clause_99,8]) ).
cnf(29,plain,
'E'('0',f(suc(suc(z)))),
inference('HYPERRESOLVE',[status(thm)],[clause_99,17]) ).
cnf(30,plain,
( 'E'(f(z),f(suc(z)))
| iLEQ(suc(z),suc(z)) ),
inference('HYPERRESOLVE',[status(thm)],[clause_44,28,27]) ).
cnf(32,plain,
'E'(f(z),f(suc(z))),
inference('HYPERRESOLVE',[status(thm)],[clause_16,30,28,28,27,27,27,28,30,28,27,30]) ).
cnf(33,plain,
iLEQ(suc(z),suc(z)),
inference('HYPERRESOLVE',[status(thm)],[clause_149,32,29,28,27]) ).
cnf(34,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[clause_96,32,28,29,28,29,27,27,27,28,29,32,32,28,27,29,32]),33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYO652-1 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n029.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 08:58:00 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-07-09T08:58:00
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-07-09T08:58:00
% 0.19/0.58
% 0.19/0.58
% 0.19/0.58 #||
% 0.19/0.58 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.58 % SZS output start Refutation
% See solution above
% 0.19/0.58 ||#
% 0.19/0.58
% 0.19/0.58 ; Summary of computation:
% 0.19/0.58 ; 43 formulas have been input or derived (from 29 formulas).
% 0.19/0.58 ; 34 (79%) were retained. Of these,
% 0.19/0.58 ; 4 (12%) were simplified or subsumed later,
% 0.19/0.58 ; 30 (88%) are still being kept.
% 0.19/0.58 ;
% 0.19/0.58 ; Run time in seconds excluding printing time:
% 0.19/0.58 ; 0.021 17% Read assertion file (1 call)
% 0.19/0.58 ; 0.008 7% Assert (23 calls)
% 0.19/0.58 ; 0.005 4% Process new row (31 calls)
% 0.19/0.58 ; 0.026 21% Resolution (56 calls)
% 0.19/0.58 ; 0.003 2% Paramodulation (28 calls)
% 0.19/0.58 ; 0.000 0% Factoring (4 calls)
% 0.19/0.58 ; 0.007 6% Condensing (23 calls)
% 0.19/0.58 ; 0.003 2% Forward subsumption (23 calls)
% 0.19/0.58 ; 0.003 2% Backward subsumption (23 calls)
% 0.19/0.58 ; 0.018 15% Clause clause subsumption (57 calls)
% 0.19/0.58 ; 0.004 3% Forward simplification (31 calls)
% 0.19/0.58 ; 0.001 1% Backward simplification (31 calls)
% 0.19/0.58 ; 0.000 0% Ordering (10 calls)
% 0.19/0.58 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.58 ; 0.001 1% Purity testing (1 call)
% 0.19/0.58 ; 0.021 17% Other
% 0.19/0.58 ; 0.121 Total
% 0.19/0.58 ; 0.124 Real time
% 0.19/0.58 ;
% 0.19/0.58 ; Term-hash-array has 56 terms in all.
% 0.19/0.58 ; Feature-vector-row-index has 22 entries (23 at peak, 23 added, 1 deleted).
% 0.19/0.58 ; Feature-vector-row-index has 115 nodes (122 at peak, 122 added, 7 deleted).
% 0.19/0.58 ; Retrieved 29 possibly forward subsuming rows in 23 calls.
% 0.19/0.58 ; Retrieved 28 possibly backward subsumed rows in 23 calls.
% 0.19/0.58 ; Path-index has 58 entries (58 at peak, 59 added, 1 deleted).
% 0.19/0.58 ; Path-index has 60 nodes (60 at peak, 62 added, 2 deleted).
% 0.19/0.58 ; Trie-index has 58 entries (58 at peak, 59 added, 1 deleted).
% 0.19/0.58 ; Trie-index has 67 nodes (67 at peak, 70 added, 3 deleted).
% 0.19/0.58 ; Retrieved 4 generalization terms in 13 calls.
% 0.19/0.58 ; Retrieved 7 instance terms in 7 calls.
% 0.19/0.58 ; Retrieved 20,258 unifiable terms in 6,556 calls.
% 0.19/0.58 ;
% 0.19/0.58 ; The agenda of rows to process has 2 entries:
% 0.19/0.58 ; 2 with value 11
% 0.19/0.58 ; The agenda of rows to give has 2 entries:
% 0.19/0.58 ; 1 with value (4 11) 1 with value (4 24)
% 0.19/0.58 Evaluation took:
% 0.19/0.58 0.125 seconds of real time
% 0.19/0.58 0.116972 seconds of user run time
% 0.19/0.58 0.008189 seconds of system run time
% 0.19/0.58 0 calls to %EVAL
% 0.19/0.58 0 page faults and
% 0.19/0.58 11,668,944 bytes consed.
% 0.19/0.58 :PROOF-FOUND
% 0.19/0.58 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T08:58:00
% 0.19/0.58 :PROOF-FOUND
% 0.19/0.58 *
%------------------------------------------------------------------------------