TSTP Solution File: HEN003-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : HEN003-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n007.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 13:02:19 EDT 2022
% Result : Unsatisfiable 0.36s 0.55s
% Output : Refutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of clauses : 17 ( 12 unt; 0 nHn; 7 RR)
% Number of literals : 27 ( 3 equ; 11 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 : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 30 ( 4 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_divide_x_is_zero,negated_conjecture,
~ quotient(x,x,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_x_divide_x_is_zero) ).
cnf(14,plain,
less_equal(divide(X,Y),X),
inference('HYPERRESOLVE',[status(thm)],[divisor_existence,closure]) ).
cnf(24,plain,
quotient(divide(X,Y),X,zero),
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal,14]) ).
cnf(26,plain,
less_equal(divide(divide(X,X),zero),zero),
inference('HYPERRESOLVE',[status(thm)],[quotient_property,24,closure,closure,closure,24]) ).
cnf(32,plain,
divide(divide(X,X),zero) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,26,zero_is_smallest]) ).
cnf(40,plain,
quotient(divide(X,X),zero,zero),
inference('PARAMODULATE',[status(thm)],[closure,32,theory(equality)]) ).
cnf(41,plain,
less_equal(divide(X,X),zero),
inference('HYPERRESOLVE',[status(thm)],[less_equal_quotient,40]) ).
cnf(45,plain,
divide(X,X) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,41,zero_is_smallest]) ).
cnf(46,plain,
quotient(X,X,zero),
inference('PARAMODULATE',[status(thm)],[closure,45,theory(equality)]) ).
cnf(47,plain,
$false,
inference('REWRITE',[status(thm)],[prove_x_divide_x_is_zero,46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : HEN003-2 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n007.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 13:07:54 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 2022-07-01T13:07:54
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-07-01T13:07:54
% 0.18/0.47
% 0.18/0.47 ; Recognized relation function assertion (|quotient| ?X ?Y (|divide| ?X ?Y)).
% 0.36/0.55 ; Recognized relation functionality assertion (OR (NOT (|quotient| ?X ?Y ?Z)) (NOT (|quotient| ?X ?Y ?U)) (= ?Z ?U)).
% 0.36/0.55
% 0.36/0.55 #||
% 0.36/0.55 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/0.55 % SZS output start Refutation
% See solution above
% 0.36/0.55 ||#
% 0.36/0.55
% 0.36/0.55 ; Summary of computation:
% 0.36/0.55 ; 1625 formulas have been input or derived (from 32 formulas).
% 0.36/0.55 ; 47 ( 3%) were retained. Of these,
% 0.36/0.55 ; 10 (21%) were simplified or subsumed later,
% 0.36/0.55 ; 37 (79%) are still being kept.
% 0.36/0.55 ;
% 0.36/0.55 ; Run time in seconds excluding printing time:
% 0.36/0.55 ; 0.003 3% Read assertion file (1 call)
% 0.36/0.55 ; 0.001 1% Assert (12 calls)
% 0.36/0.55 ; 0.006 7% Process new row (845 calls)
% 0.36/0.55 ; 0.044 48% Resolution (62 calls)
% 0.36/0.55 ; 0.002 2% Paramodulation (31 calls)
% 0.36/0.55 ; 0.001 1% Condensing (6 calls)
% 0.36/0.55 ; 0.000 0% Forward subsumption (6 calls)
% 0.36/0.55 ; 0.000 0% Backward subsumption (6 calls)
% 0.36/0.55 ; 0.000 0% Clause clause subsumption (2 calls)
% 0.36/0.55 ; 0.009 10% Forward simplification (842 calls)
% 0.36/0.55 ; 0.001 1% Backward simplification (47 calls)
% 0.36/0.55 ; 0.001 1% Ordering (92 calls)
% 0.36/0.55 ; 0.000 0% Sortal reasoning (32 calls)
% 0.36/0.55 ; 0.000 0% Purity testing (1 call)
% 0.36/0.55 ; 0.024 26% Other
% 0.36/0.55 ; 0.092 Total
% 0.36/0.55 ; 0.094 Real time
% 0.36/0.55 ;
% 0.36/0.55 ; Term-hash-array has 97 terms in all.
% 0.36/0.55 ; Feature-vector-row-index has 6 entries (6 at peak, 6 added, 0 deleted).
% 0.36/0.55 ; Feature-vector-row-index has 12 nodes (12 at peak, 12 added, 0 deleted).
% 0.36/0.55 ; Retrieved 1 possibly forward subsuming row in 6 calls.
% 0.36/0.56 ; Retrieved 1 possibly backward subsumed row in 6 calls.
% 0.36/0.56 ; Path-index has 80 entries (97 at peak, 100 added, 20 deleted).
% 0.36/0.56 ; Path-index has 177 nodes (180 at peak, 181 added, 4 deleted).
% 0.36/0.56 ; Trie-index has 80 entries (97 at peak, 100 added, 20 deleted).
% 0.36/0.56 ; Trie-index has 215 nodes (242 at peak, 246 added, 31 deleted).
% 0.36/0.56 ; Retrieved 1,800 generalization terms in 1,956 calls.
% 0.36/0.56 ; Retrieved 104 instance terms in 40 calls.
% 0.36/0.56 ; Retrieved 13,156 unifiable terms in 5,175 calls.
% 0.36/0.56 ;
% 0.36/0.56 ; The agenda of rows to process has 7 entries:
% 0.36/0.56 ; 3 with value 15 2 with value 16 2 with value 18
% 0.36/0.56 ; The agenda of rows to give has 11 entries:
% 0.36/0.56 ; 1 with value (4 13) 1 with value (4 18) 2 with value (4 21)
% 0.36/0.56 ; 1 with value (4 15) 1 with value (4 19) 1 with value (4 22)
% 0.36/0.56 ; 2 with value (4 17) 1 with value (4 20) 1 with value (4 25)
% 0.36/0.56 Evaluation took:
% 0.36/0.56 0.095 seconds of real time
% 0.36/0.56 0.081206 seconds of user run time
% 0.36/0.56 0.013751 seconds of system run time
% 0.36/0.56 0 calls to %EVAL
% 0.36/0.56 0 page faults and
% 0.36/0.56 5,417,240 bytes consed.
% 0.36/0.56 :PROOF-FOUND
% 0.36/0.56 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T13:07:54
% 0.36/0.56 :PROOF-FOUND
% 0.36/0.56 *
%------------------------------------------------------------------------------