%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : HEN006-5 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 13:02:25 EDT 2022
% Result : Unsatisfiable 0.39s 0.55s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 12 ( 11 unt; 0 nHn; 5 RR)
% Number of literals : 14 ( 13 equ; 3 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 18 ( 5 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(x_divide_zero_is_x,axiom,
divide(X,zero) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_divide_zero_is_x) ).
cnf(a_divide_b_divide_d_is_zero,hypothesis,
divide(divide(a,b),d) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_divide_b_divide_d_is_zero) ).
cnf(prove_property_of_divide1,negated_conjecture,
divide(divide(a,d),b) != zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_property_of_divide1) ).
cnf(13,plain,
divide(divide(a,d),divide(b,d)) = zero,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[quotient_property,a_divide_b_divide_d_is_zero,theory(equality)]),x_divide_zero_is_x,theory(equality)]) ).
cnf(16,plain,
divide(divide(X,Y),divide(divide(X,divide(Y,Z)),Y)) = zero,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[quotient_property,quotient_smaller_than_numerator,theory(equality)]),x_divide_zero_is_x,theory(equality)]) ).
cnf(18,plain,
divide(divide(divide(X,Y),Z),divide(X,Z)) = zero,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[quotient_property,quotient_smaller_than_numerator,theory(equality)]),x_divide_zero_is_x,zero_is_smallest,theory(equality)]) ).
cnf(99,plain,
divide(X,Y) = divide(divide(X,divide(Y,Z)),Y),
inference('HYPERRESOLVE',[status(thm)],[divide_and_equal,16,18]) ).
cnf(100,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[99,13,theory(equality)]),prove_property_of_divide1,zero_is_smallest,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HEN006-5 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Fri Jul 1 14:44:30 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-07-01T14:44:30
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-07-01T14:44:30
% 0.19/0.47
% 0.39/0.55 ; Recognized right identity assertion (= (|divide| ?X |zero|) ?X).
% 0.39/0.55
% 0.39/0.55 #||
% 0.39/0.55 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.55 % SZS output start Refutation
% See solution above
% 0.39/0.55 ||#
% 0.39/0.55
% 0.39/0.55 ; Summary of computation:
% 0.39/0.55 ; 809 formulas have been input or derived (from 31 formulas).
% 0.39/0.55 ; 100 (12%) were retained. Of these,
% 0.39/0.55 ; 4 ( 4%) were simplified or subsumed later,
% 0.39/0.55 ; 96 (96%) are still being kept.
% 0.39/0.55 ;
% 0.39/0.55 ; Run time in seconds excluding printing time:
% 0.39/0.55 ; 0.002 2% Read assertion file (1 call)
% 0.39/0.55 ; 0.001 1% Assert (8 calls)
% 0.39/0.55 ; 0.016 18% Process new row (659 calls)
% 0.39/0.55 ; 0.008 9% Resolution (60 calls)
% 0.39/0.55 ; 0.017 19% Paramodulation (30 calls)
% 0.39/0.55 ; 0.001 1% Condensing (25 calls)
% 0.39/0.55 ; 0.005 5% Forward subsumption (25 calls)
% 0.39/0.55 ; 0.000 0% Backward subsumption (19 calls)
% 0.39/0.55 ; 0.000 0% Clause clause subsumption (49 calls)
% 0.39/0.55 ; 0.014 15% Forward simplification (514 calls)
% 0.39/0.55 ; 0.001 1% Backward simplification (100 calls)
% 0.39/0.55 ; 0.000 0% Ordering (987 calls)
% 0.39/0.55 ; 0.000 0% Sortal reasoning (32 calls)
% 0.39/0.55 ; 0.000 0% Purity testing (1 call)
% 0.39/0.55 ; 0.026 29% Other
% 0.39/0.55 ; 0.091 Total
% 0.39/0.55 ; 0.093 Real time
% 0.39/0.55 ;
% 0.39/0.55 ; Term-hash-array has 322 terms in all.
% 0.39/0.55 ; Feature-vector-row-index has 19 entries (19 at peak, 19 added, 0 deleted).
% 0.39/0.55 ; Feature-vector-row-index has 188 nodes (188 at peak, 188 added, 0 deleted).
% 0.39/0.55 ; Retrieved 49 possibly forward subsuming rows in 25 calls.
% 0.39/0.55 ; Retrieved 8 possibly backward subsumed rows in 19 calls.
% 0.39/0.55 ; Path-index has 318 entries (320 at peak, 328 added, 10 deleted).
% 0.39/0.55 ; Path-index has 314 nodes (314 at peak, 314 added, 0 deleted).
% 0.39/0.55 ; Trie-index has 318 entries (320 at peak, 328 added, 10 deleted).
% 0.39/0.55 ; Trie-index has 1,259 nodes (1,266 at peak, 1,289 added, 30 deleted).
% 0.39/0.55 ; Retrieved 2,532 generalization terms in 2,157 calls.
% 0.39/0.55 ; Retrieved 275 instance terms in 80 calls.
% 0.39/0.55 ; Retrieved 3,914 unifiable terms in 389 calls.
% 0.39/0.55 ;
% 0.39/0.55 ; The agenda of rows to process has 48 entries:
% 0.39/0.55 ; 2 with value 15 2 with value 20 2 with value 26
% 0.39/0.55 ; 3 with value 16 2 with value 21 1 with value 27
% 0.39/0.55 ; 1 with value 17 4 with value 23 4 with value 28
% 0.39/0.55 ; 8 with value 18 8 with value 24 1 with value 30
% 0.39/0.55 ; 5 with value 19 3 with value 25 2 with value 33
% 0.39/0.55 ; The agenda of rows to give has 68 entries:
% 0.39/0.55 ; 8 with value (4 19) 2 with value (4 25) 5 with value (4 30)
% 0.39/0.55 ; 5 with value (4 20) 7 with value (4 26) 1 with value (4 31)
% 0.39/0.55 ; 8 with value (4 21) 5 with value (4 27) 1 with value (4 32)
% 0.39/0.55 ; 5 with value (4 22) 6 with value (4 28) 1 with value (4 33)
% 0.39/0.55 ; 5 with value (4 23) 2 with value (4 29) 1 with value (4 36)
% 0.39/0.55 ; 6 with value (4 24)
% 0.39/0.55 Evaluation took:
% 0.39/0.55 0.093 seconds of real time
% 0.39/0.55 0.079892 seconds of user run time
% 0.39/0.55 0.013334 seconds of system run time
% 0.39/0.55 0 calls to %EVAL
% 0.39/0.55 0 page faults and
% 0.39/0.55 4,705,064 bytes consed.
% 0.39/0.55 :PROOF-FOUND
% 0.39/0.55 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-01T14:44:30
% 0.39/0.55 :PROOF-FOUND
% 0.39/0.55 *
%------------------------------------------------------------------------------