TSTP Solution File: HEN006-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : HEN006-3 : 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 : Sat Jul 16 13:02:24 EDT 2022
% Result : Unsatisfiable 0.18s 0.52s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 19 ( 16 unt; 0 nHn; 13 RR)
% Number of literals : 23 ( 9 equ; 9 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 : 18 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(quotient_less_equal1,axiom,
( ~ less_equal(X,Y)
| divide(X,Y) = zero ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_less_equal1) ).
cnf(quotient_less_equal2,axiom,
( divide(X,Y) != zero
| less_equal(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_less_equal2) ).
cnf(quotient_smaller_than_numerator,axiom,
less_equal(divide(X,Y),X),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_property) ).
cnf(zero_is_smallest,axiom,
less_equal(zero,X),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/HEN002-0.ax',less_equal_and_equal) ).
cnf(a_divide_b_LE_d,hypothesis,
less_equal(divide(a,b),d),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',prove_a_divide_d_LE_b) ).
cnf(11,plain,
divide(zero,X) = zero,
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal1,zero_is_smallest]) ).
cnf(12,plain,
divide(divide(a,b),d) = zero,
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal1,a_divide_b_LE_d]) ).
cnf(13,plain,
divide(divide(X,Y),X) = zero,
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal1,quotient_smaller_than_numerator]) ).
cnf(14,plain,
divide(divide(a,d),b) != zero,
inference('UR-RESOLVE',[status(thm)],[quotient_less_equal2,prove_a_divide_d_LE_b]) ).
cnf(18,plain,
less_equal(divide(divide(a,d),divide(b,d)),zero),
inference('PARAMODULATE',[status(thm)],[quotient_property,12,theory(equality)]) ).
cnf(22,plain,
less_equal(divide(divide(X,Y),zero),divide(divide(X,divide(Y,Z)),Y)),
inference('PARAMODULATE',[status(thm)],[quotient_property,13,theory(equality)]) ).
cnf(24,plain,
~ less_equal(divide(divide(a,d),b),zero),
inference('UR-RESOLVE',[status(thm)],[less_equal_and_equal,14,zero_is_smallest]) ).
cnf(25,plain,
divide(divide(divide(a,d),b),zero) != zero,
inference('UR-RESOLVE',[status(thm)],[quotient_less_equal2,24]) ).
cnf(27,plain,
divide(divide(a,d),divide(b,d)) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,18,zero_is_smallest]) ).
cnf(50,plain,
~ less_equal(divide(divide(divide(a,d),b),zero),zero),
inference('UR-RESOLVE',[status(thm)],[less_equal_and_equal,25,zero_is_smallest]) ).
cnf(92,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[22,27,theory(equality)]),50,11,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : HEN006-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 1 14:29:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.45 #<PACKAGE "SNARK-USER">
% 0.18/0.45 *
% 0.18/0.45 SNARK-TPTP-OPTIONS
% 0.18/0.45 *
% 0.18/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.45 (USE-FACTORING :POS)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.45 *
% 0.18/0.45 "."
% 0.18/0.45 *
% 0.18/0.45 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T14:29:29
% 0.18/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-07-01T14:29:29
% 0.18/0.52
% 0.18/0.52
% 0.18/0.52 #||
% 0.18/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.52 % SZS output start Refutation
% See solution above
% 0.18/0.52 ||#
% 0.18/0.52
% 0.18/0.52 ; Summary of computation:
% 0.18/0.52 ; 612 formulas have been input or derived (from 48 formulas).
% 0.18/0.52 ; 92 (15%) were retained. Of these,
% 0.18/0.52 ; 26 (28%) were simplified or subsumed later,
% 0.18/0.52 ; 66 (72%) are still being kept.
% 0.18/0.52 ;
% 0.18/0.52 ; Run time in seconds excluding printing time:
% 0.18/0.52 ; 0.002 3% Read assertion file (1 call)
% 0.18/0.52 ; 0.000 0% Assert (9 calls)
% 0.18/0.52 ; 0.010 15% Process new row (459 calls)
% 0.18/0.52 ; 0.007 10% Resolution (94 calls)
% 0.18/0.52 ; 0.003 4% Paramodulation (47 calls)
% 0.18/0.52 ; 0.000 0% Condensing (4 calls)
% 0.18/0.52 ; 0.000 0% Forward subsumption (4 calls)
% 0.18/0.52 ; 0.000 0% Backward subsumption (4 calls)
% 0.18/0.52 ; 0.012 18% Forward simplification (430 calls)
% 0.18/0.52 ; 0.003 4% Backward simplification (92 calls)
% 0.18/0.52 ; 0.001 1% Ordering (438 calls)
% 0.18/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.52 ; 0.000 0% Purity testing (1 call)
% 0.18/0.52 ; 0.029 43% Other
% 0.18/0.52 ; 0.067 Total
% 0.18/0.52 ; 0.069 Real time
% 0.18/0.52 ;
% 0.18/0.52 ; Term-hash-array has 225 terms in all.
% 0.18/0.52 ; Feature-vector-row-index has 4 entries (4 at peak, 4 added, 0 deleted).
% 0.18/0.52 ; Feature-vector-row-index has 19 nodes (19 at peak, 19 added, 0 deleted).
% 0.18/0.52 ; Retrieved 0 possibly forward subsuming rows in 4 calls.
% 0.18/0.52 ; Retrieved 0 possibly backward subsumed rows in 4 calls.
% 0.18/0.52 ; Path-index has 179 entries (187 at peak, 231 added, 52 deleted).
% 0.18/0.52 ; Path-index has 328 nodes (331 at peak, 358 added, 30 deleted).
% 0.18/0.52 ; Trie-index has 179 entries (187 at peak, 231 added, 52 deleted).
% 0.18/0.52 ; Trie-index has 649 nodes (680 at peak, 800 added, 151 deleted).
% 0.18/0.52 ; Retrieved 1,533 generalization terms in 1,306 calls.
% 0.18/0.52 ; Retrieved 227 instance terms in 87 calls.
% 0.18/0.52 ; Retrieved 1,566 unifiable terms in 573 calls.
% 0.18/0.52 ;
% 0.18/0.52 ; The agenda of rows to process has 22 entries:
% 0.18/0.52 ; 1 with value 19 6 with value 22 1 with value 25
% 0.18/0.52 ; 2 with value 20 3 with value 23 2 with value 26
% 0.18/0.52 ; 2 with value 21 1 with value 24 4 with value 28
% 0.18/0.52 ; The agenda of rows to give has 33 entries:
% 0.18/0.52 ; 4 with value (4 19) 2 with value (4 22) 4 with value (4 25)
% 0.18/0.52 ; 6 with value (4 20) 5 with value (4 23) 2 with value (4 28)
% 0.18/0.52 ; 6 with value (4 21) 4 with value (4 24)
% 0.18/0.52 Evaluation took:
% 0.18/0.52 0.07 seconds of real time
% 0.18/0.52 0.06146 seconds of user run time
% 0.18/0.52 0.008344 seconds of system run time
% 0.18/0.52 0 calls to %EVAL
% 0.18/0.52 0 page faults and
% 0.18/0.52 4,008,536 bytes consed.
% 0.18/0.52 :PROOF-FOUND
% 0.18/0.52 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T14:29:29
% 0.18/0.52 :PROOF-FOUND
% 0.18/0.52 *
%------------------------------------------------------------------------------