TSTP Solution File: HEN006-6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : HEN006-6 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n015.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 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of clauses : 26 ( 23 unt; 0 nHn; 11 RR)
% Number of literals : 30 ( 12 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 30 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(quotient_less_equal1,axiom,
( ~ less_equal(X,Y)
| divide(X,Y) = zero ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',quotient_less_equal1) ).
cnf(quotient_less_equal2,axiom,
( divide(X,Y) != zero
| less_equal(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',quotient_less_equal2) ).
cnf(quotient_smaller_than_numerator,axiom,
less_equal(divide(X,Y),X),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',quotient_smaller_than_numerator) ).
cnf(quotient_property,axiom,
less_equal(divide(divide(X,Y),divide(Z,Y)),divide(divide(X,Z),Y)),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',quotient_property) ).
cnf(zero_is_smallest,axiom,
less_equal(zero,X),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',zero_is_smallest) ).
cnf(less_equal_and_equal,axiom,
( ~ less_equal(X,Y)
| ~ less_equal(Y,X)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN002-0.ax',less_equal_and_equal) ).
cnf(zero_divide_anything_is_zero,axiom,
divide(zero,X) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zero_divide_anything_is_zero) ).
cnf(x_divide_x_is_zero,axiom,
divide(X,X) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_divide_x_is_zero) ).
cnf(a_divide_b_LE_d,hypothesis,
less_equal(divide(a,b),d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_divide_b_LE_d) ).
cnf(prove_a_divide_d_LE_b,negated_conjecture,
~ less_equal(divide(a,d),b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_divide_d_LE_b) ).
cnf(13,plain,
divide(divide(a,b),d) = zero,
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal1,a_divide_b_LE_d]) ).
cnf(14,plain,
divide(divide(X,Y),X) = zero,
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal1,quotient_smaller_than_numerator]) ).
cnf(16,plain,
divide(divide(a,d),b) != zero,
inference('UR-RESOLVE',[status(thm)],[quotient_less_equal2,prove_a_divide_d_LE_b]) ).
cnf(17,plain,
less_equal(divide(divide(X,Y),zero),divide(divide(X,zero),Y)),
inference('PARAMODULATE',[status(thm)],[quotient_property,zero_divide_anything_is_zero,theory(equality)]) ).
cnf(22,plain,
less_equal(divide(divide(a,d),divide(b,d)),zero),
inference('PARAMODULATE',[status(thm)],[quotient_property,13,theory(equality)]) ).
cnf(25,plain,
less_equal(divide(divide(X,Y),zero),divide(divide(X,divide(Y,Z)),Y)),
inference('PARAMODULATE',[status(thm)],[quotient_property,14,theory(equality)]) ).
cnf(27,plain,
~ less_equal(divide(divide(a,d),b),zero),
inference('UR-RESOLVE',[status(thm)],[less_equal_and_equal,16,zero_is_smallest]) ).
cnf(30,plain,
divide(divide(a,d),divide(b,d)) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,22,zero_is_smallest]) ).
cnf(35,plain,
less_equal(divide(divide(X,divide(X,zero)),zero),zero),
inference('PARAMODULATE',[status(thm)],[17,x_divide_x_is_zero,theory(equality)]) ).
cnf(43,plain,
divide(divide(X,divide(X,zero)),zero) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,35,zero_is_smallest]) ).
cnf(46,plain,
less_equal(divide(X,divide(X,zero)),zero),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal2,43]) ).
cnf(49,plain,
divide(X,divide(X,zero)) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,46,zero_is_smallest]) ).
cnf(50,plain,
less_equal(X,divide(X,zero)),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal2,49]) ).
cnf(56,plain,
X = divide(X,zero),
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,50,quotient_smaller_than_numerator]) ).
cnf(61,plain,
less_equal(divide(X,Y),divide(divide(X,divide(Y,Z)),Y)),
inference('REWRITE',[status(thm)],[25,56,theory(equality)]) ).
cnf(70,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[61,30,theory(equality)]),27,zero_divide_anything_is_zero,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : HEN006-6 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n015.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 1 15:02:28 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 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-01T15:02:28
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-01T15:02:28
% 0.19/0.54
% 0.19/0.54
% 0.19/0.54 #||
% 0.19/0.54 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.54 % SZS output start Refutation
% See solution above
% 0.19/0.54 ||#
% 0.19/0.54
% 0.19/0.54 ; Summary of computation:
% 0.19/0.54 ; 493 formulas have been input or derived (from 40 formulas).
% 0.19/0.54 ; 70 (14%) were retained. Of these,
% 0.19/0.54 ; 29 (41%) were simplified or subsumed later,
% 0.19/0.54 ; 41 (59%) are still being kept.
% 0.19/0.54 ;
% 0.19/0.54 ; Run time in seconds excluding printing time:
% 0.19/0.54 ; 0.003 5% Read assertion file (1 call)
% 0.19/0.54 ; 0.000 0% Assert (12 calls)
% 0.19/0.54 ; 0.005 9% Process new row (382 calls)
% 0.19/0.54 ; 0.008 14% Resolution (78 calls)
% 0.19/0.54 ; 0.006 10% Paramodulation (39 calls)
% 0.19/0.54 ; 0.000 0% Condensing (4 calls)
% 0.19/0.54 ; 0.001 2% Forward subsumption (4 calls)
% 0.19/0.54 ; 0.000 0% Backward subsumption (4 calls)
% 0.19/0.54 ; 0.008 14% Forward simplification (347 calls)
% 0.19/0.54 ; 0.003 5% Backward simplification (70 calls)
% 0.19/0.54 ; 0.001 2% Ordering (319 calls)
% 0.19/0.54 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.54 ; 0.000 0% Purity testing (1 call)
% 0.19/0.54 ; 0.023 40% Other
% 0.19/0.54 ; 0.058 Total
% 0.19/0.54 ; 0.061 Real time
% 0.19/0.54 ;
% 0.19/0.54 ; Term-hash-array has 156 terms in all.
% 0.19/0.54 ; Feature-vector-row-index has 4 entries (4 at peak, 4 added, 0 deleted).
% 0.19/0.54 ; Feature-vector-row-index has 13 nodes (13 at peak, 13 added, 0 deleted).
% 0.19/0.54 ; Retrieved 0 possibly forward subsuming rows in 4 calls.
% 0.19/0.54 ; Retrieved 0 possibly backward subsumed rows in 4 calls.
% 0.19/0.54 ; Path-index has 103 entries (127 at peak, 175 added, 72 deleted).
% 0.19/0.54 ; Path-index has 251 nodes (267 at peak, 318 added, 67 deleted).
% 0.19/0.54 ; Trie-index has 103 entries (127 at peak, 175 added, 72 deleted).
% 0.19/0.54 ; Trie-index has 356 nodes (425 at peak, 598 added, 242 deleted).
% 0.19/0.54 ; Retrieved 1,125 generalization terms in 902 calls.
% 0.19/0.54 ; Retrieved 112 instance terms in 65 calls.
% 0.19/0.54 ; Retrieved 1,349 unifiable terms in 482 calls.
% 0.19/0.54 ;
% 0.19/0.54 ; The agenda of rows to process has 14 entries:
% 0.19/0.54 ; 3 with value 18 3 with value 20 1 with value 23
% 0.19/0.54 ; 4 with value 19 2 with value 21 1 with value 24
% 0.19/0.54 ; The agenda of rows to give has 15 entries:
% 0.19/0.54 ; 2 with value (4 17) 3 with value (4 20) 1 with value (4 22)
% 0.19/0.54 ; 4 with value (4 18) 3 with value (4 21) 1 with value (4 23)
% 0.19/0.54 ; 1 with value (4 19)
% 0.19/0.54 Evaluation took:
% 0.19/0.54 0.062 seconds of real time
% 0.19/0.54 0.047768 seconds of user run time
% 0.19/0.54 0.014148 seconds of system run time
% 0.19/0.54 0 calls to %EVAL
% 0.19/0.54 0 page faults and
% 0.19/0.54 4,090,272 bytes consed.
% 0.19/0.54 :PROOF-FOUND
% 0.19/0.54 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-01T15:02:28
% 0.19/0.54 :PROOF-FOUND
% 0.19/0.54 *
%------------------------------------------------------------------------------