TSTP Solution File: SYO656-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SYO656-1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n004.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 1.53s 1.74s
% Output : Refutation 1.53s
% 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 : 86 ( 0 equ; 56 neg)
% Maximal clause size : 29 ( 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 : 21 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1185,axiom,
( ~ iLEQ(suc(X),suc(Y))
| ~ 'E'('0',f(suc(X)))
| ~ 'E'('0',f(suc(Z)))
| ~ iLEQ(suc(U),suc(X))
| ~ 'E'('0',f(suc(V)))
| ~ 'E'('0',f(V))
| ~ 'E'('0',f(suc(Y)))
| ~ 'E'('0',f(W))
| ~ iLEQ(suc(V),suc(U))
| ~ iLEQ(suc(Y),suc(Z))
| ~ 'E'('0',f(Y))
| ~ 'E'('0',f(suc(U)))
| ~ 'E'('0',f(U))
| ~ 'E'('0',f(suc(W)))
| ~ 'E'('0',f(Z))
| ~ 'E'('0',f(X))
| ~ iLEQ(suc(Z),suc(W))
| 'E'(f(U),f(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(W),f(suc(W))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1185) ).
cnf(clause_181,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_181) ).
cnf(clause_613,axiom,
~ 'LE'(f(z),'0'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_613) ).
cnf(clause_73,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_73) ).
cnf(clause_1201,axiom,
( ~ 'E'('0',f(suc(suc(X))))
| ~ iLEQ(suc(Y),suc(Z))
| ~ 'E'('0',f(suc(Y)))
| ~ 'E'('0',f(suc(U)))
| ~ iLEQ(suc(V),suc(Y))
| ~ 'E'(f(V),f(suc(V)))
| ~ 'E'('0',f(suc(suc(V))))
| ~ 'E'('0',f(suc(W)))
| ~ 'E'(f(Z),f(suc(Z)))
| ~ 'E'('0',f(suc(suc(W))))
| ~ 'E'('0',f(suc(suc(Y))))
| ~ 'E'('0',f(W))
| ~ 'E'('0',f(suc(Z)))
| ~ 'E'('0',f(X))
| ~ iLEQ(suc(W),suc(V))
| ~ 'E'(f(U),f(suc(U)))
| ~ iLEQ(suc(Z),suc(U))
| ~ 'E'(f(Y),f(suc(Y)))
| ~ 'E'('0',f(suc(suc(U))))
| ~ 'E'(f(W),f(suc(W)))
| ~ 'E'('0',f(Z))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'('0',f(suc(V)))
| ~ 'E'('0',f(V))
| ~ 'E'('0',f(suc(X)))
| ~ 'E'('0',f(U))
| ~ 'E'('0',f(suc(suc(Z))))
| ~ 'E'('0',f(Y))
| ~ iLEQ(suc(U),suc(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1201) ).
cnf(clause_968,axiom,
( ~ 'LE'(f(suc(X)),s('0'))
| 'E'('0',f(suc(X)))
| 'LE'(f(X),'0') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_968) ).
cnf(clause_1005,axiom,
( ~ 'LE'(f(X),s('0'))
| 'E'('0',f(X))
| 'LE'(f(X),'0') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1005) ).
cnf(clause_1153,axiom,
'LE'(f(X),s('0')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1153) ).
cnf(clause_854,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_854) ).
cnf(72,plain,
( 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference('REWRITE',[status(thm)],[clause_1005,clause_1153]) ).
cnf(73,plain,
( 'E'('0',f(suc(X)))
| 'LE'(f(X),'0') ),
inference('REWRITE',[status(thm)],[clause_968,clause_1153]) ).
cnf(74,plain,
( 'E'('0',f(suc(suc(X))))
| 'LE'(f(X),'0') ),
inference('REWRITE',[status(thm)],[clause_73,clause_1153]) ).
cnf(75,plain,
'E'('0',f(z)),
inference('HYPERRESOLVE',[status(thm)],[clause_613,72]) ).
cnf(76,plain,
'E'('0',f(suc(z))),
inference('HYPERRESOLVE',[status(thm)],[clause_613,73]) ).
cnf(77,plain,
'E'('0',f(suc(suc(z)))),
inference('HYPERRESOLVE',[status(thm)],[clause_613,74]) ).
cnf(78,plain,
( 'E'(f(z),f(suc(z)))
| iLEQ(suc(z),suc(z)) ),
inference('HYPERRESOLVE',[status(thm)],[clause_181,76,75]) ).
cnf(80,plain,
'E'(f(z),f(suc(z))),
inference('HYPERRESOLVE',[status(thm)],[clause_1185,78,78,76,76,78,76,75,76,75,78,75,76,75,76,75,75,78]) ).
cnf(81,plain,
iLEQ(suc(z),suc(z)),
inference('HYPERRESOLVE',[status(thm)],[clause_854,80,77,76,75]) ).
cnf(82,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[clause_1201,80,77,76,76,80,77,76,80,77,77,75,76,75,80,80,77,80,75,76,75,76,75,77,75]),81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYO656-1 : TPTP v8.1.0. Released v7.3.0.
% 0.12/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n004.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jul 9 00:54:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T00:54:07
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-07-09T00:54:07
% 1.53/1.74
% 1.53/1.74
% 1.53/1.74 #||
% 1.53/1.74 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.53/1.74 % SZS output start Refutation
% See solution above
% 1.53/1.74 ||#
% 1.53/1.74
% 1.53/1.74 ; Summary of computation:
% 1.53/1.74 ; 95 formulas have been input or derived (from 77 formulas).
% 1.53/1.74 ; 82 (86%) were retained. Of these,
% 1.53/1.74 ; 4 ( 5%) were simplified or subsumed later,
% 1.53/1.74 ; 78 (95%) are still being kept.
% 1.53/1.74 ;
% 1.53/1.74 ; Run time in seconds excluding printing time:
% 1.53/1.74 ; 0.103 8% Read assertion file (1 call)
% 1.53/1.74 ; 0.036 3% Assert (71 calls)
% 1.53/1.74 ; 0.029 2% Process new row (82 calls)
% 1.53/1.74 ; 0.131 10% Resolution (152 calls)
% 1.53/1.74 ; 0.008 1% Paramodulation (76 calls)
% 1.53/1.74 ; 0.000 0% Factoring (4 calls)
% 1.53/1.74 ; 0.064 5% Condensing (74 calls)
% 1.53/1.74 ; 0.007 1% Forward subsumption (74 calls)
% 1.53/1.74 ; 0.009 1% Backward subsumption (74 calls)
% 1.53/1.74 ; 0.839 67% Clause clause subsumption (866 calls)
% 1.53/1.74 ; 0.007 1% Forward simplification (82 calls)
% 1.53/1.74 ; 0.001 0% Backward simplification (82 calls)
% 1.53/1.74 ; 0.000 0% Ordering (10 calls)
% 1.53/1.74 ; 0.000 0% Sortal reasoning (32 calls)
% 1.53/1.74 ; 0.000 0% Purity testing (1 call)
% 1.53/1.74 ; 0.015 1% Other
% 1.53/1.74 ; 1.249 Total
% 1.53/1.74 ; 1.274 Real time
% 1.53/1.74 ;
% 1.53/1.74 ; Term-hash-array has 81 terms in all.
% 1.53/1.74 ; Feature-vector-row-index has 70 entries (71 at peak, 74 added, 4 deleted).
% 1.53/1.74 ; Feature-vector-row-index has 145 nodes (152 at peak, 173 added, 28 deleted).
% 1.53/1.74 ; Retrieved 433 possibly forward subsuming rows in 74 calls.
% 1.53/1.74 ; Retrieved 433 possibly backward subsumed rows in 74 calls.
% 1.53/1.74 ; Path-index has 81 entries (81 at peak, 85 added, 4 deleted).
% 1.53/1.74 ; Path-index has 62 nodes (62 at peak, 66 added, 4 deleted).
% 1.53/1.74 ; Trie-index has 81 entries (81 at peak, 85 added, 4 deleted).
% 1.53/1.74 ; Trie-index has 67 nodes (67 at peak, 79 added, 12 deleted).
% 1.53/1.74 ; Retrieved 1 generalization term in 16 calls.
% 1.53/1.74 ; Retrieved 9 instance terms in 7 calls.
% 1.53/1.74 ; Retrieved 102,163 unifiable terms in 33,005 calls.
% 1.53/1.74 ;
% 1.53/1.74 ; The agenda of rows to give has 2 entries:
% 1.53/1.74 ; 1 with value (4 11) 1 with value (4 24)
% 1.53/1.74 Evaluation took:
% 1.53/1.74 1.274 seconds of real time
% 1.53/1.74 1.226764 seconds of user run time
% 1.53/1.74 0.027202 seconds of system run time
% 1.53/1.74 [Run times include 0.066 seconds GC run time.]
% 1.53/1.74 0 calls to %EVAL
% 1.53/1.74 0 page faults and
% 1.53/1.74 204,236,184 bytes consed.
% 1.53/1.74 :PROOF-FOUND
% 1.53/1.74 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T00:54:09
% 1.53/1.74 :PROOF-FOUND
% 1.53/1.74 *
%------------------------------------------------------------------------------