TSTP Solution File: HEN007-6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : HEN007-6 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 0.47s 0.67s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of clauses : 19 ( 14 unt; 0 nHn; 15 RR)
% Number of literals : 30 ( 3 equ; 13 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 27 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(quotient_less_equal,axiom,
( ~ less_equal(X,Y)
| quotient(X,Y,zero) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',quotient_less_equal) ).
cnf(divisor_existence,axiom,
( ~ quotient(X,Y,Z)
| less_equal(Z,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',divisor_existence) ).
cnf(quotient_property,axiom,
( ~ quotient(X,Y,Z)
| ~ quotient(Y,U,V)
| ~ quotient(X,U,W)
| ~ quotient(W,V,X1)
| ~ quotient(Z,U,Y1)
| less_equal(X1,Y1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',quotient_property) ).
cnf(closure,axiom,
quotient(X,Y,divide(X,Y)),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',closure) ).
cnf(well_defined,axiom,
( ~ quotient(X,Y,Z)
| ~ quotient(X,Y,U)
| Z = U ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',well_defined) ).
cnf(x_divde_zero_is_x,axiom,
quotient(X,zero,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_divde_zero_is_x) ).
cnf(transitivity_of_less_equal,axiom,
( ~ less_equal(X,Y)
| ~ less_equal(Y,Z)
| less_equal(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_less_equal) ).
cnf(xLEy,hypothesis,
less_equal(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xLEy) ).
cnf(zQy,hypothesis,
quotient(z,y,zQy),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zQy) ).
cnf(zQx,hypothesis,
quotient(z,x,zQx),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zQx) ).
cnf(prove_zQyLEzQx,negated_conjecture,
~ less_equal(zQy,zQx),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_zQyLEzQx) ).
cnf(19,plain,
quotient(x,y,zero),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal,xLEy]) ).
cnf(25,plain,
less_equal(divide(X,Y),X),
inference('HYPERRESOLVE',[status(thm)],[divisor_existence,closure]) ).
cnf(33,plain,
X = divide(X,zero),
inference('HYPERRESOLVE',[status(thm)],[well_defined,x_divde_zero_is_x,closure]) ).
cnf(43,plain,
less_equal(divide(zQy,divide(x,y)),divide(zQx,y)),
inference('HYPERRESOLVE',[status(thm)],[quotient_property,zQx,closure,zQy,closure,closure]) ).
cnf(96,plain,
zero = divide(x,y),
inference('HYPERRESOLVE',[status(thm)],[well_defined,19,closure]) ).
cnf(97,plain,
less_equal(zQy,divide(zQx,y)),
inference('REWRITE',[status(thm)],[43,33,96,theory(equality)]) ).
cnf(182,plain,
~ less_equal(zQy,divide(zQx,X)),
inference('UR-RESOLVE',[status(thm)],[transitivity_of_less_equal,25,prove_zQyLEzQx]) ).
cnf(183,plain,
$false,
inference('REWRITE',[status(thm)],[97,182]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : HEN007-6 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.11/0.32 % Computer : n027.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Fri Jul 1 14:59:37 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.43 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 *
% 0.18/0.44 *
% 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 2022-07-01T14:59:37
% 0.18/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-07-01T14:59:37
% 0.18/0.46
% 0.18/0.46 ; Recognized relation function assertion (|quotient| ?X ?Y (|divide| ?X ?Y)).
% 0.18/0.46 ; Recognized relation functionality assertion (OR (NOT (|quotient| ?X ?Y ?Z)) (NOT (|quotient| ?X ?Y ?U)) (= ?Z ?U)).
% 0.47/0.67 ; Recognized possible right identity assertion (|quotient| ?X |zero| ?X).
% 0.47/0.67
% 0.47/0.67 #||
% 0.47/0.67 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.67 % SZS output start Refutation
% See solution above
% 0.47/0.67 ||#
% 0.47/0.67
% 0.47/0.67 ; Summary of computation:
% 0.47/0.67 ; 6068 formulas have been input or derived (from 70 formulas).
% 0.47/0.67 ; 183 ( 3%) were retained. Of these,
% 0.47/0.67 ; 12 ( 7%) were simplified or subsumed later,
% 0.47/0.67 ; 171 (93%) are still being kept.
% 0.47/0.67 ;
% 0.47/0.67 ; Run time in seconds excluding printing time:
% 0.47/0.67 ; 0.003 1% Read assertion file (1 call)
% 0.47/0.67 ; 0.001 0% Assert (18 calls)
% 0.47/0.67 ; 0.016 7% Process new row (3,133 calls)
% 0.47/0.67 ; 0.136 63% Resolution (138 calls)
% 0.47/0.67 ; 0.000 0% Paramodulation (69 calls)
% 0.47/0.67 ; 0.000 0% Condensing (7 calls)
% 0.47/0.67 ; 0.001 0% Forward subsumption (7 calls)
% 0.47/0.67 ; 0.000 0% Backward subsumption (7 calls)
% 0.47/0.67 ; 0.000 0% Clause clause subsumption (2 calls)
% 0.47/0.67 ; 0.022 10% Forward simplification (3,133 calls)
% 0.47/0.67 ; 0.002 1% Backward simplification (183 calls)
% 0.47/0.67 ; 0.000 0% Ordering (11 calls)
% 0.47/0.67 ; 0.000 0% Sortal reasoning (32 calls)
% 0.47/0.67 ; 0.000 0% Purity testing (1 call)
% 0.47/0.67 ; 0.034 16% Other
% 0.47/0.67 ; 0.215 Total
% 0.47/0.67 ; 0.217 Real time
% 0.47/0.67 ;
% 0.47/0.67 ; Term-hash-array has 257 terms in all.
% 0.47/0.67 ; Feature-vector-row-index has 7 entries (7 at peak, 7 added, 0 deleted).
% 0.47/0.67 ; Feature-vector-row-index has 13 nodes (13 at peak, 13 added, 0 deleted).
% 0.47/0.67 ; Retrieved 1 possibly forward subsuming row in 7 calls.
% 0.47/0.67 ; Retrieved 1 possibly backward subsumed row in 7 calls.
% 0.47/0.67 ; Path-index has 251 entries (252 at peak, 265 added, 14 deleted).
% 0.47/0.67 ; Path-index has 236 nodes (236 at peak, 236 added, 0 deleted).
% 0.47/0.67 ; Trie-index has 251 entries (252 at peak, 265 added, 14 deleted).
% 0.47/0.67 ; Trie-index has 534 nodes (535 at peak, 560 added, 26 deleted).
% 0.47/0.67 ; Retrieved 7,338 generalization terms in 6,461 calls.
% 0.47/0.67 ; Retrieved 221 instance terms in 175 calls.
% 0.47/0.67 ; Retrieved 55,656 unifiable terms in 19,959 calls.
% 0.47/0.67 ;
% 0.47/0.67 ; The agenda of rows to process has 16 entries:
% 0.47/0.67 ; 3 with value 9 5 with value 11 4 with value 12
% 0.47/0.67 ; 4 with value 10
% 0.47/0.67 ; The agenda of rows to give has 103 entries:
% 0.47/0.67 ; 27 with value (4 8) 4 with value (4 12) 10 with value (4 15)
% 0.47/0.67 ; 15 with value (4 9) 23 with value (4 13) 2 with value (4 17)
% 0.47/0.67 ; 3 with value (4 10) 2 with value (4 14) 3 with value (4 18)
% 0.47/0.67 ; 14 with value (4 11)
% 0.47/0.67 Evaluation took:
% 0.47/0.67 0.217 seconds of real time
% 0.47/0.67 0.199079 seconds of user run time
% 0.47/0.67 0.018561 seconds of system run time
% 0.47/0.67 [Run times include 0.005 seconds GC run time.]
% 0.47/0.67 0 calls to %EVAL
% 0.47/0.67 0 page faults and
% 0.47/0.67 13,977,448 bytes consed.
% 0.47/0.67 :PROOF-FOUND
% 0.47/0.67 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T14:59:38
% 0.47/0.67 :PROOF-FOUND
% 0.47/0.67 *
%------------------------------------------------------------------------------