TSTP Solution File: HEN003-5 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : HEN003-5 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n015.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 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 10 ( 9 unt; 0 nHn; 4 RR)
% Number of literals : 12 ( 11 equ; 4 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 13 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(quotient_smaller_than_numerator,axiom,
divide(divide(X,Y),X) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/HEN003-0.ax',quotient_smaller_than_numerator) ).
cnf(quotient_property,axiom,
divide(divide(divide(X,Y),divide(Z,Y)),divide(divide(X,Z),Y)) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/HEN003-0.ax',quotient_property) ).
cnf(zero_is_smallest,axiom,
divide(zero,X) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/HEN003-0.ax',zero_is_smallest) ).
cnf(divide_and_equal,axiom,
( divide(X,Y) != zero
| divide(Y,X) != zero
| X = Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN003-0.ax',divide_and_equal) ).
cnf(prove_x_divide_x_is_zero,negated_conjecture,
divide(a,a) != zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_x_divide_x_is_zero) ).
cnf(7,plain,
divide(divide(a,a),zero) != zero,
inference('UR-RESOLVE',[status(thm)],[divide_and_equal,zero_is_smallest,prove_x_divide_x_is_zero]) ).
cnf(11,plain,
divide(divide(divide(X,X),divide(Y,X)),zero) = zero,
inference('PARAMODULATE',[status(thm)],[quotient_property,quotient_smaller_than_numerator,theory(equality)]) ).
cnf(22,plain,
divide(divide(X,X),divide(Y,X)) = zero,
inference('HYPERRESOLVE',[status(thm)],[divide_and_equal,11,zero_is_smallest]) ).
cnf(23,plain,
divide(divide(X,X),zero) = zero,
inference('PARAMODULATE',[status(thm)],[22,quotient_smaller_than_numerator,theory(equality)]) ).
cnf(24,plain,
$false,
inference('REWRITE',[status(thm)],[7,23,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HEN003-5 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n015.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 14:49:28 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-07-01T14:49:28
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-01T14:49:28
% 0.18/0.50
% 0.18/0.50
% 0.18/0.50 #||
% 0.18/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.50 % SZS output start Refutation
% See solution above
% 0.18/0.50 ||#
% 0.18/0.50
% 0.18/0.50 ; Summary of computation:
% 0.18/0.50 ; 117 formulas have been input or derived (from 13 formulas).
% 0.18/0.50 ; 24 (21%) were retained. Of these,
% 0.18/0.50 ; 4 (17%) were simplified or subsumed later,
% 0.18/0.50 ; 20 (83%) are still being kept.
% 0.18/0.50 ;
% 0.18/0.50 ; Run time in seconds excluding printing time:
% 0.18/0.50 ; 0.002 6% Read assertion file (1 call)
% 0.18/0.50 ; 0.000 0% Assert (6 calls)
% 0.18/0.50 ; 0.006 18% Process new row (80 calls)
% 0.18/0.50 ; 0.001 3% Resolution (24 calls)
% 0.18/0.50 ; 0.001 3% Paramodulation (12 calls)
% 0.18/0.50 ; 0.000 0% Condensing (8 calls)
% 0.18/0.50 ; 0.000 0% Forward subsumption (8 calls)
% 0.18/0.50 ; 0.000 0% Backward subsumption (5 calls)
% 0.18/0.50 ; 0.000 0% Clause clause subsumption (4 calls)
% 0.18/0.50 ; 0.002 6% Forward simplification (67 calls)
% 0.18/0.50 ; 0.001 3% Backward simplification (24 calls)
% 0.18/0.50 ; 0.000 0% Ordering (123 calls)
% 0.18/0.50 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.50 ; 0.000 0% Purity testing (1 call)
% 0.18/0.50 ; 0.021 62% Other
% 0.18/0.50 ; 0.034 Total
% 0.18/0.50 ; 0.036 Real time
% 0.18/0.50 ;
% 0.18/0.50 ; Term-hash-array has 82 terms in all.
% 0.18/0.50 ; Feature-vector-row-index has 5 entries (5 at peak, 5 added, 0 deleted).
% 0.18/0.50 ; Feature-vector-row-index has 28 nodes (28 at peak, 28 added, 0 deleted).
% 0.18/0.50 ; Retrieved 4 possibly forward subsuming rows in 8 calls.
% 0.18/0.50 ; Retrieved 0 possibly backward subsumed rows in 5 calls.
% 0.18/0.50 ; Path-index has 77 entries (83 at peak, 85 added, 8 deleted).
% 0.18/0.50 ; Path-index has 230 nodes (244 at peak, 244 added, 14 deleted).
% 0.18/0.50 ; Trie-index has 77 entries (83 at peak, 85 added, 8 deleted).
% 0.18/0.50 ; Trie-index has 320 nodes (348 at peak, 350 added, 30 deleted).
% 0.18/0.50 ; Retrieved 112 generalization terms in 221 calls.
% 0.18/0.50 ; Retrieved 42 instance terms in 18 calls.
% 0.18/0.50 ; Retrieved 562 unifiable terms in 132 calls.
% 0.18/0.50 ;
% 0.18/0.50 ; The agenda of backward simplifiable rows to process has 2 entries:
% 0.18/0.50 ; 2 with value 0
% 0.18/0.50 ; The agenda of rows to process has 10 entries:
% 0.18/0.50 ; 1 with value 15 2 with value 23 2 with value 27
% 0.18/0.50 ; 2 with value 16 1 with value 25 1 with value 28
% 0.18/0.50 ; 1 with value 18
% 0.18/0.50 ; The agenda of rows to give has 10 entries:
% 0.18/0.50 ; 1 with value (4 13) 1 with value (4 19) 1 with value (4 30)
% 0.18/0.50 ; 1 with value (4 16) 1 with value (4 21) 1 with value (4 34)
% 0.18/0.50 ; 2 with value (4 18) 1 with value (4 28) 1 with value (4 36)
% 0.18/0.50 Evaluation took:
% 0.18/0.50 0.036 seconds of real time
% 0.18/0.50 0.031301 seconds of user run time
% 0.18/0.50 0.005228 seconds of system run time
% 0.18/0.50 0 calls to %EVAL
% 0.18/0.50 0 page faults and
% 0.18/0.50 2,222,976 bytes consed.
% 0.18/0.50 :PROOF-FOUND
% 0.18/0.50 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-01T14:49:28
% 0.18/0.50 :PROOF-FOUND
% 0.18/0.50 *
%------------------------------------------------------------------------------