TSTP Solution File: HEN004-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : HEN004-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 13:02:20 EDT 2022
% Result : Unsatisfiable 1.66s 1.85s
% Output : Refutation 1.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 8
% Syntax : Number of clauses : 27 ( 22 unt; 0 nHn; 7 RR)
% Number of literals : 37 ( 6 equ; 11 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 40 ( 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(prove_x_divde_zero_is_x,negated_conjecture,
~ quotient(x,zero,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_x_divde_zero_is_x) ).
cnf(12,plain,
quotient(zero,X,zero),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal,zero_is_smallest]) ).
cnf(13,plain,
less_equal(divide(X,Y),X),
inference('HYPERRESOLVE',[status(thm)],[divisor_existence,closure]) ).
cnf(20,plain,
quotient(divide(X,Y),X,zero),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal,13]) ).
cnf(22,plain,
less_equal(divide(divide(X,X),zero),zero),
inference('HYPERRESOLVE',[status(thm)],[quotient_property,20,closure,closure,closure,20]) ).
cnf(27,plain,
divide(divide(X,X),zero) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,22,zero_is_smallest]) ).
cnf(29,plain,
quotient(divide(X,X),zero,zero),
inference('PARAMODULATE',[status(thm)],[closure,27,theory(equality)]) ).
cnf(30,plain,
less_equal(divide(X,X),zero),
inference('HYPERRESOLVE',[status(thm)],[less_equal_quotient,29]) ).
cnf(34,plain,
divide(X,X) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,30,zero_is_smallest]) ).
cnf(35,plain,
quotient(X,X,zero),
inference('PARAMODULATE',[status(thm)],[closure,34,theory(equality)]) ).
cnf(37,plain,
less_equal(divide(divide(X,divide(X,zero)),zero),zero),
inference('HYPERRESOLVE',[status(thm)],[quotient_property,35,closure,12,closure,closure]) ).
cnf(174,plain,
divide(divide(X,divide(X,zero)),zero) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,37,zero_is_smallest]) ).
cnf(231,plain,
quotient(divide(X,divide(X,zero)),zero,zero),
inference('PARAMODULATE',[status(thm)],[closure,174,theory(equality)]) ).
cnf(239,plain,
less_equal(divide(X,divide(X,zero)),zero),
inference('HYPERRESOLVE',[status(thm)],[less_equal_quotient,231]) ).
cnf(244,plain,
divide(X,divide(X,zero)) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,239,zero_is_smallest]) ).
cnf(327,plain,
quotient(X,divide(X,zero),zero),
inference('PARAMODULATE',[status(thm)],[closure,244,theory(equality)]) ).
cnf(340,plain,
less_equal(X,divide(X,zero)),
inference('HYPERRESOLVE',[status(thm)],[less_equal_quotient,327]) ).
cnf(348,plain,
X = divide(X,zero),
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,340,13]) ).
cnf(630,plain,
quotient(X,zero,X),
inference('PARAMODULATE',[status(thm)],[closure,348,theory(equality)]) ).
cnf(631,plain,
$false,
inference('REWRITE',[status(thm)],[prove_x_divde_zero_is_x,630]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : HEN004-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.14 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Fri Jul 1 14:43:24 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.48 *
% 0.19/0.48 *
% 0.19/0.49 #<PACKAGE "SNARK-USER">
% 0.19/0.49 *
% 0.19/0.49 SNARK-TPTP-OPTIONS
% 0.19/0.49 *
% 0.19/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.49 (USE-FACTORING :POS)
% 0.19/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.49 *
% 0.19/0.49 "."
% 0.19/0.49 *
% 0.19/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T14:43:24
% 0.19/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-07-01T14:43:24
% 0.19/0.50
% 0.19/0.50 ; Recognized relation function assertion (|quotient| ?X ?Y (|divide| ?X ?Y)).
% 1.66/1.85 ; Recognized relation functionality assertion (OR (NOT (|quotient| ?X ?Y ?Z)) (NOT (|quotient| ?X ?Y ?U)) (= ?Z ?U)).
% 1.66/1.85
% 1.66/1.85 #||
% 1.66/1.85 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.66/1.85 % SZS output start Refutation
% See solution above
% 1.66/1.85 ||#
% 1.66/1.85
% 1.66/1.85 ; Summary of computation:
% 1.66/1.85 ; 58324 formulas have been input or derived (from 110 formulas).
% 1.66/1.85 ; 631 ( 1%) were retained. Of these,
% 1.66/1.85 ; 357 (57%) were simplified or subsumed later,
% 1.66/1.85 ; 274 (43%) are still being kept.
% 1.66/1.85 ;
% 1.66/1.85 ; Run time in seconds excluding printing time:
% 1.66/1.85 ; 0.003 0% Read assertion file (1 call)
% 1.66/1.85 ; 0.001 0% Assert (10 calls)
% 1.66/1.85 ; 0.097 7% Process new row (23,524 calls)
% 1.66/1.85 ; 0.910 67% Resolution (218 calls)
% 1.66/1.85 ; 0.029 2% Paramodulation (109 calls)
% 1.66/1.85 ; 0.001 0% Condensing (6 calls)
% 1.66/1.85 ; 0.000 0% Forward subsumption (6 calls)
% 1.66/1.85 ; 0.000 0% Backward subsumption (6 calls)
% 1.66/1.85 ; 0.000 0% Clause clause subsumption (2 calls)
% 1.66/1.85 ; 0.208 15% Forward simplification (23,334 calls)
% 1.66/1.85 ; 0.020 1% Backward simplification (631 calls)
% 1.66/1.85 ; 0.007 1% Ordering (4,892 calls)
% 1.66/1.85 ; 0.000 0% Sortal reasoning (32 calls)
% 1.66/1.85 ; 0.000 0% Purity testing (1 call)
% 1.66/1.85 ; 0.086 6% Other
% 1.66/1.85 ; 1.362 Total
% 1.66/1.85 ; 1.363 Real time
% 1.66/1.85 ;
% 1.66/1.85 ; Term-hash-array has 1,218 terms in all.
% 1.66/1.85 ; Feature-vector-row-index has 6 entries (6 at peak, 6 added, 0 deleted).
% 1.66/1.85 ; Feature-vector-row-index has 12 nodes (12 at peak, 12 added, 0 deleted).
% 1.66/1.85 ; Retrieved 1 possibly forward subsuming row in 6 calls.
% 1.66/1.85 ; Retrieved 1 possibly backward subsumed row in 6 calls.
% 1.66/1.85 ; Path-index has 575 entries (578 at peak, 1,303 added, 728 deleted).
% 1.66/1.85 ; Path-index has 660 nodes (793 at peak, 1,108 added, 448 deleted).
% 1.66/1.85 ; Trie-index has 575 entries (578 at peak, 1,303 added, 728 deleted).
% 1.66/1.85 ; Trie-index has 2,537 nodes (2,697 at peak, 6,366 added, 3,829 deleted).
% 1.66/1.85 ; Retrieved 121,003 generalization terms in 75,687 calls.
% 1.66/1.85 ; Retrieved 1,965 instance terms in 630 calls.
% 1.66/1.85 ; Retrieved 543,667 unifiable terms in 154,735 calls.
% 1.66/1.85 ;
% 1.66/1.85 ; The agenda of rows to process has 92 entries:
% 1.66/1.85 ; 7 with value 24 4 with value 28 4 with value 31
% 1.66/1.85 ; 5 with value 25 16 with value 29 13 with value 32
% 1.66/1.85 ; 8 with value 26 13 with value 30 4 with value 34
% 1.66/1.85 ; 18 with value 27
% 1.66/1.85 ; The agenda of rows to give has 216 entries:
% 1.66/1.85 ; 1 with value (4 22) 25 with value (4 27) 8 with value (4 32)
% 1.66/1.85 ; 5 with value (4 23) 25 with value (4 28) 18 with value (4 33)
% 1.66/1.85 ; 18 with value (4 24) 22 with value (4 29) 8 with value (4 34)
% 1.66/1.85 ; 18 with value (4 25) 24 with value (4 30) 4 with value (4 35)
% 1.66/1.85 ; 23 with value (4 26) 13 with value (4 31) 4 with value (4 36)
% 1.66/1.85 Evaluation took:
% 1.66/1.85 1.364 seconds of real time
% 1.66/1.85 1.272387 seconds of user run time
% 1.66/1.85 0.091089 seconds of system run time
% 1.66/1.85 [Run times include 0.047 seconds GC run time.]
% 1.66/1.85 0 calls to %EVAL
% 1.66/1.85 0 page faults and
% 1.66/1.85 132,105,848 bytes consed.
% 1.66/1.85 :PROOF-FOUND
% 1.66/1.85 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T14:43:26
% 1.66/1.85 :PROOF-FOUND
% 1.66/1.85 *
%------------------------------------------------------------------------------