%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : HEN008-5 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 13:02:29 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 8 ( 7 unt; 0 nHn; 5 RR)
% Number of literals : 10 ( 9 equ; 4 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 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 : 7 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(quotient_property,axiom,
divide(divide(divide(X,Y),divide(Z,Y)),divide(divide(X,Z),Y)) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/HEN003-0.ax',quotient_property) ).
cnf(zero_is_smallest,axiom,
divide(zero,X) = zero,
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/HEN003-0.ax',divide_and_equal) ).
cnf(a_divide_b_is_zero,hypothesis,
divide(a,b) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_divide_b_is_zero) ).
cnf(prove_property_of_divide3,negated_conjecture,
divide(divide(a,c),divide(b,c)) != zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_property_of_divide3) ).
cnf(8,plain,
divide(divide(divide(a,c),divide(b,c)),zero) != zero,
inference('UR-RESOLVE',[status(thm)],[divide_and_equal,zero_is_smallest,prove_property_of_divide3]) ).
cnf(16,plain,
divide(divide(divide(a,X),divide(b,X)),zero) = zero,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[quotient_property,a_divide_b_is_zero,theory(equality)]),zero_is_smallest,theory(equality)]) ).
cnf(17,plain,
$false,
inference('REWRITE',[status(thm)],[8,16,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HEN008-5 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % 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 : Fri Jul 1 14:46:38 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 *
% 0.19/0.46 ((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 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T14:46:39
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-07-01T14:46:39
% 0.19/0.50
% 0.19/0.50
% 0.19/0.50 #||
% 0.19/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox/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 ; 59 formulas have been input or derived (from 8 formulas).
% 0.19/0.50 ; 17 (29%) were retained. Of these,
% 0.19/0.50 ; 1 ( 6%) were simplified or subsumed later,
% 0.19/0.50 ; 16 (94%) are still being kept.
% 0.19/0.50 ;
% 0.19/0.50 ; Run time in seconds:
% 0.19/0.50 ; 0.002 6% Read assertion file (1 call)
% 0.19/0.50 ; 0.000 0% Assert (7 calls)
% 0.19/0.50 ; 0.003 9% Process new row (45 calls)
% 0.19/0.50 ; 0.000 0% Resolution (14 calls)
% 0.19/0.50 ; 0.001 3% Paramodulation (7 calls)
% 0.19/0.50 ; 0.000 0% Condensing (9 calls)
% 0.19/0.50 ; 0.000 0% Forward subsumption (9 calls)
% 0.19/0.50 ; 0.000 0% Backward subsumption (5 calls)
% 0.19/0.50 ; 0.000 0% Clause clause subsumption (4 calls)
% 0.19/0.50 ; 0.002 6% Forward simplification (45 calls)
% 0.19/0.50 ; 0.001 3% Backward simplification (17 calls)
% 0.19/0.50 ; 0.000 0% Ordering (73 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 ; 0.023 70% Other
% 0.19/0.50 ; 0.033 Total
% 0.19/0.50 ; 0.033 Real time
% 0.19/0.50 ;
% 0.19/0.50 ; Term-hash-array has 56 terms in all.
% 0.19/0.50 ; Feature-vector-row-index has 5 entries (5 at peak, 5 added, 0 deleted).
% 0.19/0.50 ; Feature-vector-row-index has 34 nodes (34 at peak, 34 added, 0 deleted).
% 0.19/0.50 ; Retrieved 4 possibly forward subsuming rows in 9 calls.
% 0.19/0.50 ; Retrieved 0 possibly backward subsumed rows in 5 calls.
% 0.19/0.50 ; Path-index has 59 entries (61 at peak, 61 added, 2 deleted).
% 0.19/0.50 ; Path-index has 113 nodes (117 at peak, 117 added, 4 deleted).
% 0.19/0.50 ; Trie-index has 59 entries (61 at peak, 61 added, 2 deleted).
% 0.19/0.50 ; Trie-index has 162 nodes (173 at peak, 173 added, 11 deleted).
% 0.19/0.50 ; Retrieved 52 generalization terms in 127 calls.
% 0.19/0.50 ; Retrieved 13 instance terms in 11 calls.
% 0.19/0.50 ; Retrieved 205 unifiable terms in 73 calls.
% 0.19/0.50 ;
% 0.19/0.50 ; The agenda of rows to process has 10 entries:
% 0.19/0.50 ; 2 with value 18 2 with value 30 1 with value 40
% 0.19/0.50 ; 3 with value 21 2 with value 34
% 0.19/0.50 ; The agenda of rows to give has 8 entries:
% 0.19/0.50 ; 3 with value (4 12) 2 with value (4 16) 3 with value (4 18)
% 0.19/0.50 Evaluation took:
% 0.19/0.50 0.033 seconds of real time
% 0.19/0.50 0.029319 seconds of user run time
% 0.19/0.50 0.004067 seconds of system run time
% 0.19/0.50 0 calls to %EVAL
% 0.19/0.50 0 page faults and
% 0.19/0.50 1,940,320 bytes consed.
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T14:46:39
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 *
%------------------------------------------------------------------------------