TSTP Solution File: HEN007-4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : HEN007-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n013.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 13:02:27 EDT 2022
% Result : Unsatisfiable 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 10 ( 7 unt; 0 nHn; 7 RR)
% Number of literals : 14 ( 2 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 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 : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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(x_divide_x_is_zero,axiom,
divide(X,X) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_divide_x_is_zero) ).
cnf(transitivity_of_less_equal,axiom,
( ~ less_equal(X,Y)
| ~ less_equal(Y,Z)
| less_equal(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_less_equal) ).
cnf(property_of_divide1,axiom,
( ~ less_equal(divide(X,Y),Z)
| less_equal(divide(X,Z),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_of_divide1) ).
cnf(a_LE_b,hypothesis,
less_equal(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_LE_b) ).
cnf(prove_c_divide_b_LE_c_divide_a,negated_conjecture,
~ less_equal(divide(c,b),divide(c,a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c_divide_b_LE_c_divide_a) ).
cnf(19,plain,
less_equal(X,X),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal2,x_divide_x_is_zero]) ).
cnf(28,plain,
~ less_equal(divide(c,divide(c,a)),b),
inference('UR-RESOLVE',[status(thm)],[property_of_divide1,prove_c_divide_b_LE_c_divide_a]) ).
cnf(41,plain,
less_equal(divide(X,divide(X,Y)),Y),
inference('HYPERRESOLVE',[status(thm)],[property_of_divide1,19]) ).
cnf(93,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[transitivity_of_less_equal,28,a_LE_b]),41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HEN007-4 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n013.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 12:57:59 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-01T12:57:59
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-01T12:57:59
% 0.19/0.52
% 0.19/0.52
% 0.19/0.52 #||
% 0.19/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.52 % SZS output start Refutation
% See solution above
% 0.19/0.52 ||#
% 0.19/0.52
% 0.19/0.52 ; Summary of computation:
% 0.19/0.52 ; 363 formulas have been input or derived (from 37 formulas).
% 0.19/0.52 ; 93 (26%) were retained. Of these,
% 0.19/0.52 ; 1 ( 1%) were simplified or subsumed later,
% 0.19/0.52 ; 92 (99%) are still being kept.
% 0.19/0.52 ;
% 0.19/0.52 ; Run time in seconds excluding printing time:
% 0.19/0.52 ; 0.003 6% Read assertion file (1 call)
% 0.19/0.52 ; 0.000 0% Assert (15 calls)
% 0.19/0.52 ; 0.012 24% Process new row (307 calls)
% 0.19/0.52 ; 0.003 6% Resolution (72 calls)
% 0.19/0.52 ; 0.002 4% Paramodulation (36 calls)
% 0.19/0.52 ; 0.000 0% Condensing (7 calls)
% 0.19/0.52 ; 0.000 0% Forward subsumption (7 calls)
% 0.19/0.52 ; 0.000 0% Backward subsumption (7 calls)
% 0.19/0.52 ; 0.005 10% Forward simplification (307 calls)
% 0.19/0.52 ; 0.002 4% Backward simplification (93 calls)
% 0.19/0.52 ; 0.000 0% Ordering (99 calls)
% 0.19/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.52 ; 0.000 0% Purity testing (1 call)
% 0.19/0.52 ; 0.022 45% Other
% 0.19/0.52 ; 0.049 Total
% 0.19/0.52 ; 0.051 Real time
% 0.19/0.52 ;
% 0.35/0.52 ; Term-hash-array has 161 terms in all.
% 0.35/0.52 ; Feature-vector-row-index has 7 entries (7 at peak, 7 added, 0 deleted).
% 0.35/0.52 ; Feature-vector-row-index has 28 nodes (28 at peak, 28 added, 0 deleted).
% 0.35/0.52 ; Retrieved 0 possibly forward subsuming rows in 7 calls.
% 0.35/0.52 ; Retrieved 0 possibly backward subsumed rows in 7 calls.
% 0.35/0.52 ; Path-index has 165 entries (165 at peak, 166 added, 1 deleted).
% 0.35/0.52 ; Path-index has 225 nodes (225 at peak, 226 added, 1 deleted).
% 0.35/0.52 ; Trie-index has 165 entries (165 at peak, 166 added, 1 deleted).
% 0.35/0.52 ; Trie-index has 448 nodes (448 at peak, 449 added, 1 deleted).
% 0.35/0.52 ; Retrieved 780 generalization terms in 617 calls.
% 0.35/0.52 ; Retrieved 126 instance terms in 85 calls.
% 0.35/0.52 ; Retrieved 2,024 unifiable terms in 437 calls.
% 0.35/0.52 ;
% 0.35/0.52 ; The agenda of rows to process has 6 entries:
% 0.35/0.52 ; 2 with value 12 1 with value 15 1 with value 16
% 0.35/0.52 ; 2 with value 14
% 0.35/0.52 ; The agenda of rows to give has 55 entries:
% 0.35/0.52 ; 8 with value (4 11) 13 with value (4 15) 1 with value (4 19)
% 0.35/0.52 ; 13 with value (4 12) 2 with value (4 16) 2 with value (4 20)
% 0.35/0.52 ; 4 with value (4 13) 2 with value (4 17) 1 with value (4 22)
% 0.35/0.52 ; 5 with value (4 14) 3 with value (4 18) 1 with value (4 24)
% 0.35/0.52 Evaluation took:
% 0.35/0.52 0.051 seconds of real time
% 0.35/0.52 0.046397 seconds of user run time
% 0.35/0.52 0.004935 seconds of system run time
% 0.35/0.52 0 calls to %EVAL
% 0.35/0.52 0 page faults and
% 0.35/0.52 2,698,248 bytes consed.
% 0.35/0.52 :PROOF-FOUND
% 0.35/0.52 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-01T12:58:00
% 0.35/0.52 :PROOF-FOUND
% 0.35/0.52 *
%------------------------------------------------------------------------------