TSTP Solution File: HEN006-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : HEN006-1 : 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 13:02:24 EDT 2022
% Result : Unsatisfiable 0.55s 0.77s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of clauses : 28 ( 22 unt; 0 nHn; 23 RR)
% Number of literals : 40 ( 6 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 : 29 ( 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(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(14,plain,
quotient(xQy,z,zero),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal,xQyLEz]) ).
cnf(16,plain,
quotient(zero,X,zero),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal,zero_is_smallest]) ).
cnf(17,plain,
~ quotient(xQz,y,zero),
inference('UR-RESOLVE',[status(thm)],[less_equal_quotient,prove_xQzLEy]) ).
cnf(21,plain,
less_equal(divide(X,Y),X),
inference('HYPERRESOLVE',[status(thm)],[divisor_existence,closure]) ).
cnf(27,plain,
less_equal(divide(xQz,divide(y,z)),divide(xQy,z)),
inference('HYPERRESOLVE',[status(thm)],[quotient_property,xQy,closure,xQz,closure,closure]) ).
cnf(39,plain,
zero = divide(xQy,z),
inference('HYPERRESOLVE',[status(thm)],[well_defined,14,closure]) ).
cnf(40,plain,
less_equal(divide(xQz,divide(y,z)),zero),
inference('REWRITE',[status(thm)],[27,39,theory(equality)]) ).
cnf(72,plain,
quotient(divide(X,Y),X,zero),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal,21]) ).
cnf(88,plain,
divide(xQz,divide(y,z)) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,40,zero_is_smallest]) ).
cnf(91,plain,
quotient(xQz,divide(y,z),zero),
inference('PARAMODULATE',[status(thm)],[closure,88,theory(equality)]) ).
cnf(93,plain,
less_equal(divide(divide(xQz,y),zero),zero),
inference('HYPERRESOLVE',[status(thm)],[quotient_property,91,72,closure,closure,16]) ).
cnf(124,plain,
divide(divide(xQz,y),zero) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,93,zero_is_smallest]) ).
cnf(188,plain,
quotient(divide(xQz,y),zero,zero),
inference('PARAMODULATE',[status(thm)],[closure,124,theory(equality)]) ).
cnf(189,plain,
less_equal(divide(xQz,y),zero),
inference('HYPERRESOLVE',[status(thm)],[less_equal_quotient,188]) ).
cnf(195,plain,
divide(xQz,y) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,189,zero_is_smallest]) ).
cnf(210,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[closure,195,theory(equality)]),17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : HEN006-1 : TPTP v8.1.0. Released v1.0.0.
% 0.09/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n013.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Fri Jul 1 13:34:14 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (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 2022-07-01T13:34:14
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-01T13:34:14
% 0.19/0.47
% 0.19/0.47 ; Recognized relation function assertion (|quotient| ?X ?Y (|divide| ?X ?Y)).
% 0.55/0.77 ; Recognized relation functionality assertion (OR (NOT (|quotient| ?X ?Y ?Z)) (NOT (|quotient| ?X ?Y ?U)) (= ?Z ?U)).
% 0.55/0.77
% 0.55/0.77 #||
% 0.55/0.77 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.55/0.77 % SZS output start Refutation
% See solution above
% 0.61/0.78 ||#
% 0.61/0.78
% 0.61/0.78 ; Summary of computation:
% 0.61/0.78 ; 8597 formulas have been input or derived (from 98 formulas).
% 0.61/0.78 ; 210 ( 2%) were retained. Of these,
% 0.61/0.78 ; 75 (36%) were simplified or subsumed later,
% 0.61/0.78 ; 135 (64%) are still being kept.
% 0.61/0.78 ;
% 0.61/0.78 ; Run time in seconds excluding printing time:
% 0.61/0.78 ; 0.003 1% Read assertion file (1 call)
% 0.61/0.78 ; 0.001 0% Assert (13 calls)
% 0.61/0.78 ; 0.028 9% Process new row (4,946 calls)
% 0.61/0.78 ; 0.193 61% Resolution (194 calls)
% 0.61/0.78 ; 0.004 1% Paramodulation (97 calls)
% 0.61/0.78 ; 0.001 0% Condensing (6 calls)
% 0.61/0.78 ; 0.000 0% Forward subsumption (6 calls)
% 0.61/0.78 ; 0.000 0% Backward subsumption (6 calls)
% 0.61/0.78 ; 0.000 0% Clause clause subsumption (2 calls)
% 0.61/0.78 ; 0.045 14% Forward simplification (4,920 calls)
% 0.61/0.78 ; 0.003 1% Backward simplification (210 calls)
% 0.61/0.78 ; 0.000 0% Ordering (443 calls)
% 0.61/0.78 ; 0.001 0% Sortal reasoning (32 calls)
% 0.61/0.78 ; 0.000 0% Purity testing (1 call)
% 0.61/0.78 ; 0.037 12% Other
% 0.61/0.78 ; 0.316 Total
% 0.61/0.78 ; 0.317 Real time
% 0.61/0.78 ;
% 0.61/0.78 ; Term-hash-array has 481 terms in all.
% 0.61/0.78 ; Feature-vector-row-index has 6 entries (6 at peak, 6 added, 0 deleted).
% 0.61/0.78 ; Feature-vector-row-index has 12 nodes (12 at peak, 12 added, 0 deleted).
% 0.61/0.78 ; Retrieved 1 possibly forward subsuming row in 6 calls.
% 0.61/0.78 ; Retrieved 1 possibly backward subsumed row in 6 calls.
% 0.61/0.78 ; Path-index has 335 entries (369 at peak, 505 added, 170 deleted).
% 0.61/0.78 ; Path-index has 384 nodes (416 at peak, 460 added, 76 deleted).
% 0.61/0.78 ; Trie-index has 335 entries (369 at peak, 505 added, 170 deleted).
% 0.61/0.78 ; Trie-index has 1,082 nodes (1,225 at peak, 1,640 added, 558 deleted).
% 0.61/0.78 ; Retrieved 13,428 generalization terms in 12,521 calls.
% 0.61/0.78 ; Retrieved 542 instance terms in 203 calls.
% 0.61/0.78 ; Retrieved 91,147 unifiable terms in 32,491 calls.
% 0.61/0.78 ;
% 0.61/0.78 ; The agenda of rows to process has 7 entries:
% 0.61/0.78 ; 2 with value 16 1 with value 19 3 with value 21
% 0.61/0.78 ; 1 with value 17
% 0.61/0.78 ; The agenda of rows to give has 65 entries:
% 0.61/0.78 ; 14 with value (4 16) 8 with value (4 20) 5 with value (4 23)
% 0.61/0.78 ; 9 with value (4 17) 5 with value (4 21) 4 with value (4 24)
% 0.61/0.78 ; 6 with value (4 18) 5 with value (4 22) 3 with value (4 26)
% 0.61/0.78 ; 6 with value (4 19)
% 0.61/0.78 Evaluation took:
% 0.61/0.78 0.318 seconds of real time
% 0.61/0.78 0.291962 seconds of user run time
% 0.61/0.78 0.025641 seconds of system run time
% 0.61/0.78 [Run times include 0.006 seconds GC run time.]
% 0.61/0.78 0 calls to %EVAL
% 0.61/0.78 0 page faults and
% 0.61/0.78 23,297,200 bytes consed.
% 0.61/0.78 :PROOF-FOUND
% 0.61/0.78 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T13:34:15
% 0.61/0.78 :PROOF-FOUND
% 0.61/0.78 *
%------------------------------------------------------------------------------