TSTP Solution File: HEN009-5 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : HEN009-5 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n011.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 : Sat Jul 16 13:02:31 EDT 2022
% Result : Unsatisfiable 0.20s 0.57s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of clauses : 17 ( 14 unt; 0 nHn; 4 RR)
% Number of literals : 21 ( 20 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 30 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(quotient_smaller_than_numerator,axiom,
divide(divide(X,Y),X) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/HEN003-0.ax',quotient_smaller_than_numerator) ).
cnf(quotient_property,axiom,
divide(divide(divide(X,Y),divide(Z,Y)),divide(divide(X,Z),Y)) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/HEN003-0.ax',quotient_property) ).
cnf(zero_is_smallest,axiom,
divide(zero,X) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/HEN003-0.ax',zero_is_smallest) ).
cnf(divide_and_equal,axiom,
( divide(X,Y) != zero
| divide(Y,X) != zero
| X = Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN003-0.ax',divide_and_equal) ).
cnf(identity_is_largest,axiom,
divide(X,identity) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/HEN003-0.ax',identity_is_largest) ).
cnf(property_of_divide1,axiom,
( divide(divide(X,Y),Z) != zero
| divide(divide(X,Z),Y) = zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_of_divide1) ).
cnf(property_of_divide2,axiom,
( divide(X,Y) != zero
| divide(divide(Z,Y),divide(Z,X)) = zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_of_divide2) ).
cnf(prove_this,negated_conjecture,
divide(identity,a) != divide(identity,divide(identity,divide(identity,a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
cnf(15,plain,
divide(divide(divide(X,Y),divide(identity,Y)),zero) = zero,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[quotient_property,identity_is_largest,theory(equality)]),zero_is_smallest,theory(equality)]) ).
cnf(22,plain,
divide(divide(X,Y),divide(X,zero)) = zero,
inference('HYPERRESOLVE',[status(thm)],[property_of_divide2,zero_is_smallest]) ).
cnf(41,plain,
divide(divide(X,divide(X,zero)),Y) = zero,
inference('HYPERRESOLVE',[status(thm)],[property_of_divide1,22]) ).
cnf(60,plain,
divide(X,divide(X,zero)) = zero,
inference('HYPERRESOLVE',[status(thm)],[divide_and_equal,41,zero_is_smallest]) ).
cnf(61,plain,
X = divide(X,zero),
inference('HYPERRESOLVE',[status(thm)],[divide_and_equal,60,quotient_smaller_than_numerator]) ).
cnf(69,plain,
divide(divide(X,Y),divide(identity,Y)) = zero,
inference('REWRITE',[status(thm)],[15,61,theory(equality)]) ).
cnf(76,plain,
divide(divide(X,divide(identity,Y)),Y) = zero,
inference('HYPERRESOLVE',[status(thm)],[property_of_divide1,69]) ).
cnf(88,plain,
divide(divide(X,Y),divide(X,divide(Z,divide(identity,Y)))) = zero,
inference('HYPERRESOLVE',[status(thm)],[property_of_divide2,76]) ).
cnf(90,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[divide_and_equal,76,prove_this]),88,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HEN009-5 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n011.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Fri Jul 1 13:11:19 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.49 #<PACKAGE "SNARK-USER">
% 0.20/0.49 *
% 0.20/0.49 SNARK-TPTP-OPTIONS
% 0.20/0.49 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-01T13:11:19
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-07-01T13:11:19
% 0.20/0.57
% 0.20/0.57
% 0.20/0.57 #||
% 0.20/0.57 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.57 % SZS output start Refutation
% See solution above
% 0.20/0.57 ||#
% 0.20/0.57
% 0.20/0.57 ; Summary of computation:
% 0.20/0.57 ; 768 formulas have been input or derived (from 25 formulas).
% 0.20/0.57 ; 90 (12%) were retained. Of these,
% 0.20/0.57 ; 27 (30%) were simplified or subsumed later,
% 0.20/0.57 ; 63 (70%) are still being kept.
% 0.20/0.57 ;
% 0.20/0.57 ; Run time in seconds excluding printing time:
% 0.20/0.57 ; 0.002 2% Read assertion file (1 call)
% 0.20/0.57 ; 0.001 1% Assert (9 calls)
% 0.20/0.57 ; 0.016 20% Process new row (571 calls)
% 0.20/0.57 ; 0.009 11% Resolution (48 calls)
% 0.20/0.57 ; 0.007 9% Paramodulation (24 calls)
% 0.20/0.57 ; 0.000 0% Condensing (35 calls)
% 0.20/0.57 ; 0.000 0% Forward subsumption (35 calls)
% 0.20/0.57 ; 0.002 2% Backward subsumption (27 calls)
% 0.20/0.57 ; 0.000 0% Clause clause subsumption (80 calls)
% 0.20/0.57 ; 0.013 16% Forward simplification (424 calls)
% 0.20/0.57 ; 0.003 4% Backward simplification (90 calls)
% 0.20/0.57 ; 0.000 0% Ordering (432 calls)
% 0.20/0.57 ; 0.001 1% Sortal reasoning (32 calls)
% 0.20/0.57 ; 0.000 0% Purity testing (1 call)
% 0.20/0.57 ; 0.026 32% Other
% 0.20/0.57 ; 0.080 Total
% 0.20/0.57 ; 0.083 Real time
% 0.20/0.57 ;
% 0.20/0.57 ; Term-hash-array has 237 terms in all.
% 0.20/0.57 ; Feature-vector-row-index has 22 entries (22 at peak, 27 added, 5 deleted).
% 0.20/0.57 ; Feature-vector-row-index has 108 nodes (110 at peak, 143 added, 35 deleted).
% 0.20/0.57 ; Retrieved 55 possibly forward subsuming rows in 35 calls.
% 0.20/0.57 ; Retrieved 28 possibly backward subsumed rows in 27 calls.
% 0.20/0.57 ; Path-index has 179 entries (179 at peak, 256 added, 77 deleted).
% 0.20/0.57 ; Path-index has 243 nodes (256 at peak, 285 added, 42 deleted).
% 0.20/0.57 ; Trie-index has 179 entries (179 at peak, 256 added, 77 deleted).
% 0.20/0.57 ; Trie-index has 556 nodes (588 at peak, 834 added, 278 deleted).
% 0.20/0.57 ; Retrieved 1,481 generalization terms in 1,567 calls.
% 0.20/0.57 ; Retrieved 264 instance terms in 62 calls.
% 0.20/0.57 ; Retrieved 6,750 unifiable terms in 503 calls.
% 0.20/0.57 ;
% 0.20/0.57 ; The agenda of rows to process has 20 entries:
% 0.20/0.57 ; 1 with value 21 1 with value 25 1 with value 28
% 0.20/0.57 ; 8 with value 22 4 with value 26 2 with value 30
% 0.20/0.57 ; 1 with value 23 2 with value 27
% 0.20/0.57 ; The agenda of rows to give has 44 entries:
% 0.20/0.57 ; 3 with value (4 16) 4 with value (4 21) 2 with value (4 27)
% 0.20/0.57 ; 1 with value (4 17) 4 with value (4 22) 2 with value (4 29)
% 0.20/0.57 ; 6 with value (4 18) 3 with value (4 23) 1 with value (4 32)
% 0.20/0.57 ; 6 with value (4 19) 1 with value (4 24) 1 with value (4 36)
% 0.20/0.57 ; 6 with value (4 20) 4 with value (4 25)
% 0.20/0.57 Evaluation took:
% 0.20/0.57 0.083 seconds of real time
% 0.20/0.57 0.077322 seconds of user run time
% 0.20/0.57 0.005742 seconds of system run time
% 0.20/0.57 0 calls to %EVAL
% 0.20/0.57 0 page faults and
% 0.20/0.57 4,618,288 bytes consed.
% 0.20/0.57 :PROOF-FOUND
% 0.20/0.57 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-01T13:11:19
% 0.20/0.57 :PROOF-FOUND
% 0.20/0.57 *
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