TSTP Solution File: NUM283-1.005 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM283-1.005 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 : Mon Jul 18 14:07:36 EDT 2022
% Result : Unsatisfiable 0.39s 0.61s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 7
% Syntax : Number of clauses : 47 ( 44 unt; 0 nHn; 21 RR)
% Number of literals : 52 ( 0 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 49 ( 9 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 41 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(add_0,axiom,
sum(X,n0,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_0) ).
cnf(add,axiom,
( ~ sum(X,Y,Z)
| sum(X,s(Y),s(Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',add) ).
cnf(times1,axiom,
product(s(n0),X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',times1) ).
cnf(times,axiom,
( ~ sum(X,Y,Z)
| ~ product(U,Y,X)
| product(s(U),Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',times) ).
cnf(factorial_0,axiom,
factorial(n0,s(n0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',factorial_0) ).
cnf(factorial,axiom,
( ~ factorial(X,Y)
| ~ product(s(X),Y,Z)
| factorial(s(X),Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',factorial) ).
cnf(prove_factorial,negated_conjecture,
~ factorial(s(s(s(s(s(n0))))),X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_factorial) ).
cnf(8,plain,
sum(X,s(n0),s(X)),
inference('HYPERRESOLVE',[status(thm)],[add,add_0]) ).
cnf(10,plain,
factorial(s(n0),s(n0)),
inference('HYPERRESOLVE',[status(thm)],[factorial,factorial_0,times1]) ).
cnf(11,plain,
sum(X,s(s(n0)),s(s(X))),
inference('HYPERRESOLVE',[status(thm)],[add,8]) ).
cnf(12,plain,
product(s(s(n0)),s(n0),s(s(n0))),
inference('HYPERRESOLVE',[status(thm)],[times,8,times1]) ).
cnf(14,plain,
sum(X,s(s(s(n0))),s(s(s(X)))),
inference('HYPERRESOLVE',[status(thm)],[add,11]) ).
cnf(15,plain,
product(s(s(n0)),s(s(n0)),s(s(s(s(n0))))),
inference('HYPERRESOLVE',[status(thm)],[times,11,times1]) ).
cnf(17,plain,
factorial(s(s(n0)),s(s(n0))),
inference('HYPERRESOLVE',[status(thm)],[factorial,12,10]) ).
cnf(20,plain,
sum(X,s(s(s(s(n0)))),s(s(s(s(X))))),
inference('HYPERRESOLVE',[status(thm)],[add,14]) ).
cnf(33,plain,
product(s(s(s(n0))),s(s(n0)),s(s(s(s(s(s(n0))))))),
inference('HYPERRESOLVE',[status(thm)],[times,15,11]) ).
cnf(35,plain,
sum(X,s(s(s(s(s(n0))))),s(s(s(s(s(X)))))),
inference('HYPERRESOLVE',[status(thm)],[add,20]) ).
cnf(39,plain,
sum(X,s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(X))))))),
inference('HYPERRESOLVE',[status(thm)],[add,35]) ).
cnf(43,plain,
factorial(s(s(s(n0))),s(s(s(s(s(s(n0))))))),
inference('HYPERRESOLVE',[status(thm)],[factorial,33,17]) ).
cnf(50,plain,
sum(X,s(s(s(s(s(s(s(n0))))))),s(s(s(s(s(s(s(X)))))))),
inference('HYPERRESOLVE',[status(thm)],[add,39]) ).
cnf(51,plain,
product(s(s(n0)),s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))),
inference('HYPERRESOLVE',[status(thm)],[times,39,times1]) ).
cnf(56,plain,
sum(X,s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(s(s(s(X))))))))),
inference('HYPERRESOLVE',[status(thm)],[add,50]) ).
cnf(61,plain,
sum(X,s(s(s(s(s(s(s(s(s(n0))))))))),s(s(s(s(s(s(s(s(s(X)))))))))),
inference('HYPERRESOLVE',[status(thm)],[add,56]) ).
cnf(70,plain,
sum(X,s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(s(s(s(s(s(s(X))))))))))),
inference('HYPERRESOLVE',[status(thm)],[add,61]) ).
cnf(76,plain,
product(s(s(s(n0))),s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))))),
inference('HYPERRESOLVE',[status(thm)],[times,51,39]) ).
cnf(78,plain,
sum(X,s(s(s(s(s(s(s(s(s(s(s(n0))))))))))),s(s(s(s(s(s(s(s(s(s(s(X)))))))))))),
inference('HYPERRESOLVE',[status(thm)],[add,70]) ).
cnf(82,plain,
sum(X,s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(X))))))))))))),
inference('HYPERRESOLVE',[status(thm)],[add,78]) ).
cnf(94,plain,
sum(X,s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(X)))))))))))))),
inference('HYPERRESOLVE',[status(thm)],[add,82]) ).
cnf(100,plain,
sum(X,s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(X))))))))))))))),
inference('HYPERRESOLVE',[status(thm)],[add,94]) ).
cnf(106,plain,
product(s(s(s(s(n0)))),s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))))))))))),
inference('HYPERRESOLVE',[status(thm)],[times,76,39]) ).
cnf(116,plain,
sum(X,s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X)))))))))))))))),
inference('HYPERRESOLVE',[status(thm)],[add,100]) ).
cnf(136,plain,
sum(X,s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X))))))))))))))))),
inference('HYPERRESOLVE',[status(thm)],[add,116]) ).
cnf(144,plain,
sum(X,s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X)))))))))))))))))),
inference('HYPERRESOLVE',[status(thm)],[add,136]) ).
cnf(148,plain,
factorial(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))))))))))),
inference('HYPERRESOLVE',[status(thm)],[factorial,106,43]) ).
cnf(150,plain,
~ product(s(s(s(s(s(n0))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),X),
inference('UR-RESOLVE',[status(thm)],[factorial,148,prove_factorial]) ).
cnf(152,plain,
sum(X,s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X))))))))))))))))))),
inference('HYPERRESOLVE',[status(thm)],[add,144]) ).
cnf(170,plain,
sum(X,s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X)))))))))))))))))))),
inference('HYPERRESOLVE',[status(thm)],[add,152]) ).
cnf(176,plain,
sum(X,s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X))))))))))))))))))))),
inference('HYPERRESOLVE',[status(thm)],[add,170]) ).
cnf(184,plain,
sum(X,s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X)))))))))))))))))))))),
inference('HYPERRESOLVE',[status(thm)],[add,176]) ).
cnf(204,plain,
sum(X,s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X))))))))))))))))))))))),
inference('HYPERRESOLVE',[status(thm)],[add,184]) ).
cnf(214,plain,
sum(X,s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X)))))))))))))))))))))))),
inference('HYPERRESOLVE',[status(thm)],[add,204]) ).
cnf(218,plain,
sum(X,s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X))))))))))))))))))))))))),
inference('HYPERRESOLVE',[status(thm)],[add,214]) ).
cnf(242,plain,
~ product(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),X),
inference('UR-RESOLVE',[status(thm)],[times,218,150]) ).
cnf(244,plain,
product(s(s(n0)),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))))))))))))))))))))))))))))))))))))),
inference('HYPERRESOLVE',[status(thm)],[times,218,times1]) ).
cnf(245,plain,
~ product(s(s(s(n0))),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),X),
inference('UR-RESOLVE',[status(thm)],[times,242,218]) ).
cnf(246,plain,
~ product(s(s(n0)),s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))))))))))))),X),
inference('UR-RESOLVE',[status(thm)],[times,245,218]) ).
cnf(247,plain,
$false,
inference('REWRITE',[status(thm)],[244,246]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM283-1.005 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n023.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 : Thu Jul 7 01:30:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T01:30:41
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-07-07T01:30:41
% 0.20/0.49
% 0.39/0.61 ; Recognized possible right identity assertion (|sum| ?X |n0| ?X).
% 0.39/0.61
% 0.39/0.61 #||
% 0.39/0.61 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.61 % SZS output start Refutation
% See solution above
% 0.39/0.62 ||#
% 0.39/0.62
% 0.39/0.62 ; Summary of computation:
% 0.39/0.62 ; 413 formulas have been input or derived (from 220 formulas).
% 0.39/0.62 ; 247 (60%) were retained. Of these,
% 0.39/0.62 ; 1 ( 0%) were simplified or subsumed later,
% 0.39/0.62 ; 246 (100%) are still being kept.
% 0.39/0.62 ;
% 0.39/0.62 ; Run time in seconds excluding printing time:
% 0.39/0.62 ; 0.002 2% Read assertion file (1 call)
% 0.39/0.62 ; 0.000 0% Assert (7 calls)
% 0.39/0.62 ; 0.045 34% Process new row (247 calls)
% 0.39/0.62 ; 0.011 8% Resolution (438 calls)
% 0.39/0.62 ; 0.033 25% Paramodulation (219 calls)
% 0.39/0.62 ; 0.000 0% Condensing (3 calls)
% 0.39/0.62 ; 0.000 0% Forward subsumption (3 calls)
% 0.39/0.62 ; 0.000 0% Backward subsumption (3 calls)
% 0.39/0.62 ; 0.005 4% Forward simplification (247 calls)
% 0.39/0.62 ; 0.003 2% Backward simplification (247 calls)
% 0.39/0.62 ; 0.000 0% Sortal reasoning (32 calls)
% 0.39/0.62 ; 0.000 0% Purity testing (1 call)
% 0.39/0.62 ; 0.032 24% Other
% 0.39/0.62 ; 0.131 Total
% 0.39/0.62 ; 0.145 Real time
% 0.39/0.62 ;
% 0.39/0.62 ; Term-hash-array has 326 terms in all.
% 0.39/0.62 ; Feature-vector-row-index has 3 entries (3 at peak, 3 added, 0 deleted).
% 0.39/0.62 ; Feature-vector-row-index has 14 nodes (14 at peak, 14 added, 0 deleted).
% 0.39/0.62 ; Retrieved 0 possibly forward subsuming rows in 3 calls.
% 0.39/0.62 ; Retrieved 0 possibly backward subsumed rows in 3 calls.
% 0.39/0.62 ; Path-index has 324 entries (327 at peak, 327 added, 3 deleted).
% 0.39/0.62 ; Path-index has 523 nodes (526 at peak, 526 added, 3 deleted).
% 0.39/0.62 ; Trie-index has 324 entries (327 at peak, 327 added, 3 deleted).
% 0.39/0.62 ; Trie-index has 3,649 nodes (3,702 at peak, 3,702 added, 53 deleted).
% 0.39/0.62 ; Retrieved 15 generalization terms in 278 calls.
% 0.39/0.62 ; Retrieved 244 instance terms in 243 calls.
% 0.39/0.62 ; Retrieved 2,582 unifiable terms in 5,472 calls.
% 0.39/0.62 ;
% 0.39/0.62 ; The agenda of rows to give has 26 entries:
% 0.39/0.62 ; 1 with value (4 82) 3 with value (4 110) 1 with value (4 128)
% 0.39/0.62 ; 3 with value (4 102) 1 with value (4 112) 1 with value (4 130)
% 0.39/0.62 ; 1 with value (4 103) 3 with value (4 114) 1 with value (4 134)
% 0.39/0.62 ; 2 with value (4 104) 1 with value (4 116) 1 with value (4 140)
% 0.39/0.62 ; 1 with value (4 105) 3 with value (4 122) 1 with value (4 146)
% 0.39/0.62 ; 2 with value (4 106)
% 0.39/0.62 Evaluation took:
% 0.39/0.62 0.146 seconds of real time
% 0.39/0.62 0.130329 seconds of user run time
% 0.39/0.62 0.014869 seconds of system run time
% 0.39/0.62 [Run times include 0.006 seconds GC run time.]
% 0.39/0.62 0 calls to %EVAL
% 0.39/0.62 0 page faults and
% 0.39/0.62 17,230,568 bytes consed.
% 0.39/0.62 :PROOF-FOUND
% 0.39/0.62 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T01:30:42
% 0.39/0.62 :PROOF-FOUND
% 0.39/0.62 *
%------------------------------------------------------------------------------