TSTP Solution File: HEN004-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : HEN004-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 0.39s 0.62s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of clauses : 20 ( 16 unt; 0 nHn; 6 RR)
% Number of literals : 29 ( 4 equ; 10 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 : 31 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
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(zero_divide_anything_is_zero,axiom,
quotient(zero,X,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_divide_anything_is_zero) ).
cnf(x_divide_x_is_zero,axiom,
quotient(X,X,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_divide_x_is_zero) ).
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(15,plain,
less_equal(divide(X,Y),X),
inference('HYPERRESOLVE',[status(thm)],[divisor_existence,closure]) ).
cnf(20,plain,
less_equal(divide(divide(X,divide(X,zero)),zero),zero),
inference('HYPERRESOLVE',[status(thm)],[quotient_property,closure,zero_divide_anything_is_zero,closure,closure,x_divide_x_is_zero]) ).
cnf(31,plain,
divide(divide(X,divide(X,zero)),zero) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,20,zero_is_smallest]) ).
cnf(41,plain,
quotient(divide(X,divide(X,zero)),zero,zero),
inference('PARAMODULATE',[status(thm)],[closure,31,theory(equality)]) ).
cnf(43,plain,
less_equal(divide(X,divide(X,zero)),zero),
inference('HYPERRESOLVE',[status(thm)],[less_equal_quotient,41]) ).
cnf(47,plain,
divide(X,divide(X,zero)) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,43,zero_is_smallest]) ).
cnf(48,plain,
quotient(X,divide(X,zero),zero),
inference('PARAMODULATE',[status(thm)],[closure,47,theory(equality)]) ).
cnf(53,plain,
less_equal(X,divide(X,zero)),
inference('HYPERRESOLVE',[status(thm)],[less_equal_quotient,48]) ).
cnf(59,plain,
X = divide(X,zero),
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,53,15]) ).
cnf(66,plain,
quotient(X,zero,X),
inference('PARAMODULATE',[status(thm)],[closure,59,theory(equality)]) ).
cnf(67,plain,
$false,
inference('REWRITE',[status(thm)],[prove_x_divde_zero_is_x,66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HEN004-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n023.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 13:50:14 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T13:50:14
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-07-01T13:50:14
% 0.18/0.47
% 0.18/0.47 ; Recognized relation function assertion (|quotient| ?X ?Y (|divide| ?X ?Y)).
% 0.39/0.62 ; Recognized relation functionality assertion (OR (NOT (|quotient| ?X ?Y ?Z)) (NOT (|quotient| ?X ?Y ?U)) (= ?Z ?U)).
% 0.39/0.62
% 0.39/0.62 #||
% 0.39/0.62 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.62 % SZS output start Refutation
% See solution above
% 0.39/0.63 ||#
% 0.39/0.63
% 0.39/0.63 ; Summary of computation:
% 0.39/0.63 ; 5003 formulas have been input or derived (from 35 formulas).
% 0.39/0.63 ; 67 ( 1%) were retained. Of these,
% 0.39/0.63 ; 31 (46%) were simplified or subsumed later,
% 0.39/0.63 ; 36 (54%) are still being kept.
% 0.39/0.63 ;
% 0.39/0.63 ; Run time in seconds excluding printing time:
% 0.39/0.63 ; 0.003 2% Read assertion file (1 call)
% 0.39/0.63 ; 0.000 0% Assert (13 calls)
% 0.39/0.63 ; 0.013 9% Process new row (1,941 calls)
% 0.39/0.63 ; 0.085 57% Resolution (68 calls)
% 0.39/0.63 ; 0.004 3% Paramodulation (34 calls)
% 0.39/0.63 ; 0.001 1% Condensing (6 calls)
% 0.39/0.63 ; 0.000 0% Forward subsumption (6 calls)
% 0.39/0.63 ; 0.000 0% Backward subsumption (6 calls)
% 0.39/0.63 ; 0.000 0% Clause clause subsumption (2 calls)
% 0.39/0.63 ; 0.013 9% Forward simplification (1,925 calls)
% 0.39/0.63 ; 0.000 0% Backward simplification (67 calls)
% 0.39/0.63 ; 0.000 0% Ordering (171 calls)
% 0.39/0.63 ; 0.000 0% Sortal reasoning (32 calls)
% 0.39/0.63 ; 0.000 0% Purity testing (1 call)
% 0.39/0.63 ; 0.031 21% Other
% 0.39/0.63 ; 0.150 Total
% 0.39/0.63 ; 0.168 Real time
% 0.39/0.63 ;
% 0.39/0.63 ; Term-hash-array has 136 terms in all.
% 0.39/0.63 ; Feature-vector-row-index has 6 entries (6 at peak, 6 added, 0 deleted).
% 0.39/0.63 ; Feature-vector-row-index has 12 nodes (12 at peak, 12 added, 0 deleted).
% 0.39/0.63 ; Retrieved 1 possibly forward subsuming row in 6 calls.
% 0.39/0.63 ; Retrieved 1 possibly backward subsumed row in 6 calls.
% 0.39/0.63 ; Path-index has 74 entries (114 at peak, 149 added, 75 deleted).
% 0.39/0.63 ; Path-index has 209 nodes (257 at peak, 290 added, 81 deleted).
% 0.39/0.63 ; Trie-index has 74 entries (114 at peak, 149 added, 75 deleted).
% 0.39/0.63 ; Trie-index has 194 nodes (340 at peak, 456 added, 262 deleted).
% 0.39/0.63 ; Retrieved 5,752 generalization terms in 4,705 calls.
% 0.39/0.63 ; Retrieved 103 instance terms in 60 calls.
% 0.39/0.63 ; Retrieved 39,283 unifiable terms in 13,417 calls.
% 0.39/0.63 ;
% 0.39/0.63 ; The agenda of rows to process has 8 entries:
% 0.39/0.63 ; 4 with value 16 2 with value 17 2 with value 19
% 0.39/0.63 ; The agenda of rows to give has 12 entries:
% 0.39/0.63 ; 1 with value (4 14) 1 with value (4 17) 2 with value (4 21)
% 0.39/0.63 ; 1 with value (4 15) 3 with value (4 18) 1 with value (4 23)
% 0.39/0.63 ; 1 with value (4 16) 2 with value (4 19)
% 0.39/0.63 Evaluation took:
% 0.39/0.63 0.168 seconds of real time
% 0.39/0.63 0.13591 seconds of user run time
% 0.39/0.63 0.01613 seconds of system run time
% 0.39/0.63 0 calls to %EVAL
% 0.39/0.63 0 page faults and
% 0.39/0.63 10,937,840 bytes consed.
% 0.39/0.63 :PROOF-FOUND
% 0.39/0.63 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T13:50:14
% 0.39/0.63 :PROOF-FOUND
% 0.39/0.63 *
%------------------------------------------------------------------------------