TSTP Solution File: SYO633-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SYO633-1 : TPTP v8.1.0. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 19:44:40 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 18 ( 7 unt; 0 nHn; 6 RR)
% Number of literals : 48 ( 0 equ; 34 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 46 ( 45 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_5_03,axiom,
( ~ 'E'(f(X),s(s('0')))
| ~ 'E'(f(Y),s(s(s(s('0')))))
| ~ 'E'(f(Z),s(s(s('0'))))
| ~ 'E'(f(U),s('0'))
| ~ 'E'(f(V),'0')
| ~ 'E'(f(W),s(s(s(s(s('0')))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5_03) ).
cnf(clause_6_04,axiom,
'E'(f(X),s(s(s(s('0'))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6_04) ).
cnf(clause_8_05,axiom,
'E'(f(X),s(s(s(s(s('0')))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8_05) ).
cnf(clause_2_07,axiom,
( ~ 'E'(f(X),s(s('0')))
| ~ 'E'(f(Y),s(s(s(s('0')))))
| ~ 'E'(f(Z),s(s(s('0'))))
| ~ 'E'(f(U),s('0'))
| ~ 'E'(f(V),s(s(s(s(s('0'))))))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),W)),'0') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2_07) ).
cnf(5,plain,
( ~ 'E'(f(X),s(s('0')))
| ~ 'E'(f(Y),s(s(s('0'))))
| ~ 'E'(f(Z),s('0'))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),U)),'0') ),
inference('REWRITE',[status(thm)],[clause_2_07,clause_8_05,clause_6_04]) ).
cnf(clause_12_09,axiom,
( ~ 'E'(f(X),s(s(s(s('0')))))
| ~ 'E'(f(Y),s(s(s(s(s('0'))))))
| ~ 'E'(f(Z),s(s(s('0'))))
| ~ 'E'(f(U),s(s('0')))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),V)),s('0')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_12_09) ).
cnf(7,plain,
( ~ 'E'(f(X),s(s(s('0'))))
| ~ 'E'(f(Y),s(s('0')))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),Z)),s('0')) ),
inference('REWRITE',[status(thm)],[clause_12_09,clause_8_05,clause_6_04]) ).
cnf(clause_1_10,axiom,
( ~ 'E'(f(X),s(s(s(s('0')))))
| ~ 'E'(f(Y),s(s(s(s(s('0'))))))
| 'E'(f(Y),s(s(s('0')))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1_10) ).
cnf(9,plain,
'E'(f(X),s(s(s('0')))),
inference('REWRITE',[status(thm)],[clause_1_10,clause_8_05,clause_6_04]) ).
cnf(clause_4_12,axiom,
( ~ 'E'(f(X),s(s(s(s('0')))))
| ~ 'E'(f(Y),s(s(s(s(s('0'))))))
| ~ 'E'(f(Z),s(s(s('0'))))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),U)),s(s('0'))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4_12) ).
cnf(11,plain,
'E'(f('AP'(s(s(s(s(s(s('0')))))),X)),s(s('0'))),
inference('REWRITE',[status(thm)],[clause_4_12,9,clause_8_05,clause_6_04]) ).
cnf(12,plain,
( ~ 'E'(f(X),s(s('0')))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),Y)),s('0')) ),
inference('REWRITE',[status(thm)],[7,9]) ).
cnf(13,plain,
( ~ 'E'(f(X),s(s('0')))
| ~ 'E'(f(Y),s('0'))
| 'E'(f('AP'(s(s(s(s(s(s('0')))))),Z)),'0') ),
inference('REWRITE',[status(thm)],[5,9]) ).
cnf(14,plain,
( ~ 'E'(f(X),s(s('0')))
| ~ 'E'(f(Y),s('0'))
| ~ 'E'(f(Z),'0') ),
inference('REWRITE',[status(thm)],[clause_5_03,clause_8_05,9,clause_6_04]) ).
cnf(15,plain,
'E'(f('AP'(s(s(s(s(s(s('0')))))),X)),s('0')),
inference('HYPERRESOLVE',[status(thm)],[12,11]) ).
cnf(16,plain,
~ 'E'(f(X),'0'),
inference('UR-RESOLVE',[status(thm)],[14,15,11]) ).
cnf(17,plain,
( ~ 'E'(f(X),s(s('0')))
| ~ 'E'(f(Y),s('0')) ),
inference('REWRITE',[status(thm)],[13,16]) ).
cnf(18,plain,
$false,
inference('HYPERRESOLVE',[status(thm)],[17,11,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO633-1 : TPTP v8.1.0. Released v7.1.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jul 8 16:19:45 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 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/sandbox2/benchmark/theBenchmark.p 2022-07-08T16:19:46
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-07-08T16:19:46
% 0.19/0.49 WARNING:
% 0.19/0.49 LEQ is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.50
% 0.19/0.50
% 0.19/0.50 #||
% 0.19/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.50 % SZS output start Refutation
% See solution above
% 0.19/0.50 ||#
% 0.19/0.50
% 0.19/0.50 ; Summary of computation:
% 0.19/0.50 ; 30 formulas have been input or derived (from 10 formulas).
% 0.19/0.50 ; 18 (60%) were retained. Of these,
% 0.19/0.50 ; 10 (56%) were simplified or subsumed later,
% 0.19/0.50 ; 8 (44%) are still being kept.
% 0.19/0.50 ;
% 0.19/0.50 ; Run time in seconds excluding printing time:
% 0.19/0.50 ; 0.005 17% Read assertion file (1 call)
% 0.19/0.50 ; 0.000 0% Assert (13 calls)
% 0.19/0.50 ; 0.001 3% Process new row (21 calls)
% 0.19/0.50 ; 0.000 0% Resolution (18 calls)
% 0.19/0.50 ; 0.000 0% Paramodulation (9 calls)
% 0.19/0.50 ; 0.000 0% Condensing (7 calls)
% 0.19/0.50 ; 0.001 3% Forward subsumption (7 calls)
% 0.19/0.50 ; 0.000 0% Backward subsumption (7 calls)
% 0.19/0.50 ; 0.000 0% Forward simplification (14 calls)
% 0.19/0.50 ; 0.001 3% Backward simplification (14 calls)
% 0.19/0.50 ; 0.001 3% Sortal reasoning (32 calls)
% 0.19/0.50 ; 0.000 0% Purity testing (1 call)
% 0.19/0.50 ; 0.020 69% Other
% 0.19/0.50 ; 0.029 Total
% 0.19/0.50 ; 0.033 Real time
% 0.19/0.50 ;
% 0.19/0.50 ; Term-hash-array has 41 terms in all.
% 0.19/0.50 ; Feature-vector-row-index has 1 entry (3 at peak, 7 added, 6 deleted).
% 0.19/0.50 ; Feature-vector-row-index has 10 nodes (45 at peak, 100 added, 90 deleted).
% 0.19/0.50 ; Retrieved 0 possibly forward subsuming rows in 7 calls.
% 0.19/0.50 ; Retrieved 0 possibly backward subsumed rows in 7 calls.
% 0.19/0.50 ; Path-index has 19 entries (26 at peak, 55 added, 36 deleted).
% 0.19/0.50 ; Path-index has 65 nodes (65 at peak, 81 added, 16 deleted).
% 0.19/0.50 ; Trie-index has 19 entries (26 at peak, 55 added, 36 deleted).
% 0.19/0.50 ; Trie-index has 61 nodes (62 at peak, 106 added, 45 deleted).
% 0.19/0.50 ; Retrieved 11 generalization terms in 33 calls.
% 0.19/0.50 ; Retrieved 11 instance terms in 6 calls.
% 0.19/0.50 ; Retrieved 39 unifiable terms in 101 calls.
% 0.19/0.50 ;
% 0.19/0.50 ; The agenda of rows to process has 2 entries:
% 0.19/0.50 ; 1 with value 8 1 with value 11
% 0.19/0.50 ; The agenda of rows to give has 1 entry:
% 0.19/0.50 ; 1 with value (4 8)
% 0.19/0.50 Evaluation took:
% 0.19/0.50 0.033 seconds of real time
% 0.19/0.51 0.027047 seconds of user run time
% 0.19/0.51 0.005818 seconds of system run time
% 0.19/0.51 0 calls to %EVAL
% 0.19/0.51 0 page faults and
% 0.19/0.51 4,410,064 bytes consed.
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-08T16:19:46
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 *
%------------------------------------------------------------------------------