TSTP Solution File: HEN006-7 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : HEN006-7 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n014.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 0.54s 0.71s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of clauses : 26 ( 20 unt; 0 nHn; 20 RR)
% Number of literals : 38 ( 5 equ; 14 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 : 30 ( 5 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(less_equal_quotient,axiom,
( ~ quotient(X,Y,zero)
| less_equal(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',less_equal_quotient) ).
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(zero_is_smallest,axiom,
less_equal(zero,X),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.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/HEN001-0.ax',less_equal_and_equal) ).
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(zero_divide_anything_is_zero,axiom,
quotient(zero,X,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_divide_anything_is_zero) ).
cnf(x_divde_zero_is_x,axiom,
quotient(X,zero,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_divde_zero_is_x) ).
cnf(xQy,hypothesis,
quotient(x,y,xQy),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xQy) ).
cnf(xQyLEz,hypothesis,
less_equal(xQy,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xQyLEz) ).
cnf(xQz,hypothesis,
quotient(x,z,xQz),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xQz) ).
cnf(prove_xQzLEy,negated_conjecture,
~ less_equal(xQz,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_xQzLEy) ).
cnf(18,plain,
quotient(xQy,z,zero),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal,xQyLEz]) ).
cnf(20,plain,
~ quotient(xQz,y,zero),
inference('UR-RESOLVE',[status(thm)],[less_equal_quotient,prove_xQzLEy]) ).
cnf(24,plain,
less_equal(divide(X,Y),X),
inference('HYPERRESOLVE',[status(thm)],[divisor_existence,closure]) ).
cnf(40,plain,
less_equal(divide(xQz,divide(y,z)),divide(xQy,z)),
inference('HYPERRESOLVE',[status(thm)],[quotient_property,xQy,closure,xQz,closure,closure]) ).
cnf(54,plain,
zero = divide(xQy,z),
inference('HYPERRESOLVE',[status(thm)],[well_defined,18,closure]) ).
cnf(55,plain,
less_equal(divide(xQz,divide(y,z)),zero),
inference('REWRITE',[status(thm)],[40,54,theory(equality)]) ).
cnf(69,plain,
quotient(divide(X,Y),X,zero),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal,24]) ).
cnf(98,plain,
divide(xQz,divide(y,z)) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,55,zero_is_smallest]) ).
cnf(114,plain,
quotient(xQz,divide(y,z),zero),
inference('PARAMODULATE',[status(thm)],[closure,98,theory(equality)]) ).
cnf(116,plain,
less_equal(divide(xQz,y),zero),
inference('HYPERRESOLVE',[status(thm)],[quotient_property,114,69,closure,x_divde_zero_is_x,zero_divide_anything_is_zero]) ).
cnf(122,plain,
divide(xQz,y) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,116,zero_is_smallest]) ).
cnf(123,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[closure,122,theory(equality)]),20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : HEN006-7 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n014.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 13:33:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.45 #<PACKAGE "SNARK-USER">
% 0.19/0.45 *
% 0.19/0.45 SNARK-TPTP-OPTIONS
% 0.19/0.45 *
% 0.19/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.45 (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 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T13:33:56
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-07-01T13:33:56
% 0.19/0.47
% 0.19/0.47 ; Recognized relation function assertion (|quotient| ?X ?Y (|divide| ?X ?Y)).
% 0.19/0.47 ; Recognized relation functionality assertion (OR (NOT (|quotient| ?X ?Y ?Z)) (NOT (|quotient| ?X ?Y ?U)) (= ?Z ?U)).
% 0.54/0.71 ; Recognized possible right identity assertion (|quotient| ?X |zero| ?X).
% 0.54/0.71
% 0.54/0.71 #||
% 0.54/0.71 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/0.71 % SZS output start Refutation
% See solution above
% 0.54/0.71 ||#
% 0.54/0.71
% 0.54/0.71 ; Summary of computation:
% 0.54/0.71 ; 8656 formulas have been input or derived (from 63 formulas).
% 0.54/0.71 ; 123 ( 1%) were retained. Of these,
% 0.54/0.71 ; 11 ( 9%) were simplified or subsumed later,
% 0.54/0.71 ; 112 (91%) are still being kept.
% 0.54/0.71 ;
% 0.54/0.71 ; Run time in seconds excluding printing time:
% 0.54/0.71 ; 0.003 1% Read assertion file (1 call)
% 0.54/0.71 ; 0.001 0% Assert (17 calls)
% 0.54/0.71 ; 0.026 10% Process new row (4,214 calls)
% 0.54/0.71 ; 0.161 64% Resolution (124 calls)
% 0.54/0.71 ; 0.000 0% Paramodulation (62 calls)
% 0.54/0.71 ; 0.001 0% Condensing (6 calls)
% 0.54/0.71 ; 0.000 0% Forward subsumption (6 calls)
% 0.54/0.71 ; 0.000 0% Backward subsumption (6 calls)
% 0.54/0.71 ; 0.000 0% Clause clause subsumption (2 calls)
% 0.54/0.71 ; 0.025 10% Forward simplification (4,208 calls)
% 0.54/0.71 ; 0.002 1% Backward simplification (123 calls)
% 0.54/0.71 ; 0.000 0% Ordering (127 calls)
% 0.54/0.71 ; 0.000 0% Sortal reasoning (32 calls)
% 0.54/0.71 ; 0.000 0% Purity testing (1 call)
% 0.54/0.71 ; 0.034 13% Other
% 0.54/0.71 ; 0.253 Total
% 0.54/0.71 ; 0.255 Real time
% 0.54/0.71 ;
% 0.54/0.71 ; Term-hash-array has 252 terms in all.
% 0.54/0.71 ; Feature-vector-row-index has 6 entries (6 at peak, 6 added, 0 deleted).
% 0.54/0.71 ; Feature-vector-row-index has 12 nodes (12 at peak, 12 added, 0 deleted).
% 0.54/0.71 ; Retrieved 1 possibly forward subsuming row in 6 calls.
% 0.54/0.71 ; Retrieved 1 possibly backward subsumed row in 6 calls.
% 0.54/0.71 ; Path-index has 245 entries (249 at peak, 261 added, 16 deleted).
% 0.54/0.71 ; Path-index has 285 nodes (286 at peak, 286 added, 1 deleted).
% 0.54/0.71 ; Trie-index has 245 entries (249 at peak, 261 added, 16 deleted).
% 0.54/0.71 ; Trie-index has 677 nodes (687 at peak, 719 added, 42 deleted).
% 0.54/0.71 ; Retrieved 13,133 generalization terms in 10,660 calls.
% 0.54/0.71 ; Retrieved 162 instance terms in 116 calls.
% 0.54/0.71 ; Retrieved 79,386 unifiable terms in 27,388 calls.
% 0.54/0.71 ;
% 0.54/0.71 ; The agenda of rows to give has 55 entries:
% 0.54/0.71 ; 8 with value (4 13) 8 with value (4 16) 3 with value (4 19)
% 0.54/0.71 ; 6 with value (4 14) 6 with value (4 17) 3 with value (4 20)
% 0.54/0.71 ; 11 with value (4 15) 7 with value (4 18) 3 with value (4 21)
% 0.54/0.71 Evaluation took:
% 0.54/0.71 0.255 seconds of real time
% 0.54/0.71 0.22628 seconds of user run time
% 0.54/0.71 0.029234 seconds of system run time
% 0.54/0.71 [Run times include 0.005 seconds GC run time.]
% 0.54/0.71 0 calls to %EVAL
% 0.54/0.71 0 page faults and
% 0.54/0.71 18,837,576 bytes consed.
% 0.54/0.71 :PROOF-FOUND
% 0.54/0.71 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T13:33:56
% 0.54/0.71 :PROOF-FOUND
% 0.54/0.71 *
%------------------------------------------------------------------------------