TSTP Solution File: HEN003-4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : HEN003-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n010.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 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 15 ( 12 unt; 0 nHn; 8 RR)
% Number of literals : 19 ( 7 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 18 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(quotient_less_equal1,axiom,
( ~ less_equal(X,Y)
| divide(X,Y) = zero ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_less_equal1) ).
cnf(quotient_less_equal2,axiom,
( divide(X,Y) != zero
| less_equal(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_less_equal2) ).
cnf(quotient_smaller_than_numerator,axiom,
less_equal(divide(X,Y),X),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_smaller_than_numerator) ).
cnf(quotient_property,axiom,
less_equal(divide(divide(X,Y),divide(Z,Y)),divide(divide(X,Z),Y)),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_property) ).
cnf(zero_is_smallest,axiom,
less_equal(zero,X),
file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.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/HEN002-0.ax',less_equal_and_equal) ).
cnf(zero_divide_anything_is_zero,axiom,
divide(zero,X) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_divide_anything_is_zero) ).
cnf(prove_x_divide_x_is_zero,negated_conjecture,
divide(a,a) != zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_x_divide_x_is_zero) ).
cnf(12,plain,
divide(divide(X,Y),X) = zero,
inference('HYPERRESOLVE',[status(thm)],[quotient_less_equal1,quotient_smaller_than_numerator]) ).
cnf(13,plain,
~ less_equal(divide(a,a),zero),
inference('UR-RESOLVE',[status(thm)],[less_equal_and_equal,zero_is_smallest,prove_x_divide_x_is_zero]) ).
cnf(17,plain,
divide(divide(a,a),zero) != zero,
inference('UR-RESOLVE',[status(thm)],[quotient_less_equal2,13]) ).
cnf(18,plain,
less_equal(divide(divide(X,X),divide(Y,X)),zero),
inference('PARAMODULATE',[status(thm)],[quotient_property,12,theory(equality)]) ).
cnf(21,plain,
~ less_equal(divide(divide(a,a),zero),zero),
inference('UR-RESOLVE',[status(thm)],[less_equal_and_equal,17,zero_is_smallest]) ).
cnf(24,plain,
less_equal(divide(divide(X,X),zero),zero),
inference('PARAMODULATE',[status(thm)],[18,zero_divide_anything_is_zero,theory(equality)]) ).
cnf(25,plain,
$false,
inference('REWRITE',[status(thm)],[21,24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : HEN003-4 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n010.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 12:56:03 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 2022-07-01T12:56:03
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-07-01T12:56:03
% 0.19/0.49
% 0.19/0.49
% 0.19/0.49 #||
% 0.19/0.49 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.49 % SZS output start Refutation
% See solution above
% 0.19/0.49 ||#
% 0.19/0.49
% 0.19/0.49 ; Summary of computation:
% 0.19/0.49 ; 91 formulas have been input or derived (from 18 formulas).
% 0.19/0.49 ; 25 (27%) were retained. Of these,
% 0.19/0.49 ; 2 ( 8%) were simplified or subsumed later,
% 0.19/0.49 ; 23 (92%) are still being kept.
% 0.19/0.49 ;
% 0.19/0.49 ; Run time in seconds excluding printing time:
% 0.19/0.49 ; 0.002 6% Read assertion file (1 call)
% 0.19/0.49 ; 0.000 0% Assert (10 calls)
% 0.19/0.49 ; 0.003 9% Process new row (74 calls)
% 0.19/0.49 ; 0.002 6% Resolution (34 calls)
% 0.19/0.49 ; 0.003 9% Paramodulation (17 calls)
% 0.19/0.49 ; 0.000 0% Condensing (3 calls)
% 0.19/0.49 ; 0.000 0% Forward subsumption (3 calls)
% 0.19/0.49 ; 0.000 0% Backward subsumption (3 calls)
% 0.19/0.49 ; 0.001 3% Forward simplification (73 calls)
% 0.19/0.49 ; 0.000 0% Backward simplification (25 calls)
% 0.19/0.49 ; 0.000 0% Ordering (49 calls)
% 0.19/0.49 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.49 ; 0.000 0% Purity testing (1 call)
% 0.19/0.49 ; 0.022 67% Other
% 0.19/0.49 ; 0.033 Total
% 0.19/0.49 ; 0.034 Real time
% 0.19/0.49 ;
% 0.19/0.49 ; Term-hash-array has 51 terms in all.
% 0.19/0.49 ; Feature-vector-row-index has 3 entries (3 at peak, 3 added, 0 deleted).
% 0.19/0.49 ; Feature-vector-row-index has 11 nodes (11 at peak, 11 added, 0 deleted).
% 0.19/0.49 ; Retrieved 0 possibly forward subsuming rows in 3 calls.
% 0.19/0.49 ; Retrieved 0 possibly backward subsumed rows in 3 calls.
% 0.19/0.49 ; Path-index has 52 entries (53 at peak, 54 added, 2 deleted).
% 0.19/0.49 ; Path-index has 137 nodes (139 at peak, 140 added, 3 deleted).
% 0.19/0.49 ; Trie-index has 52 entries (53 at peak, 54 added, 2 deleted).
% 0.19/0.49 ; Trie-index has 147 nodes (151 at peak, 154 added, 7 deleted).
% 0.19/0.49 ; Retrieved 99 generalization terms in 152 calls.
% 0.19/0.49 ; Retrieved 25 instance terms in 21 calls.
% 0.19/0.49 ; Retrieved 289 unifiable terms in 148 calls.
% 0.19/0.49 ;
% 0.19/0.49 ; The agenda of rows to process has 2 entries:
% 0.19/0.49 ; 1 with value 15 1 with value 18
% 0.19/0.49 ; The agenda of rows to give has 7 entries:
% 0.19/0.49 ; 1 with value (4 13) 1 with value (4 15) 1 with value (4 19)
% 0.19/0.49 ; 1 with value (4 14) 2 with value (4 17) 1 with value (4 20)
% 0.19/0.49 Evaluation took:
% 0.19/0.49 0.035 seconds of real time
% 0.19/0.49 0.027189 seconds of user run time
% 0.19/0.49 0.00705 seconds of system run time
% 0.19/0.49 0 calls to %EVAL
% 0.19/0.49 0 page faults and
% 0.19/0.49 2,312,864 bytes consed.
% 0.19/0.49 :PROOF-FOUND
% 0.19/0.49 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T12:56:03
% 0.19/0.49 :PROOF-FOUND
% 0.19/0.49 *
%------------------------------------------------------------------------------