TSTP Solution File: HEN004-4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : HEN004-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n006.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 13:02:21 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 16 ( 14 unt; 0 nHn; 8 RR)
% Number of literals : 19 ( 8 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 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 : 16 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
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(x_divide_x_is_zero,axiom,
divide(X,X) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_divide_x_is_zero) ).
cnf(prove_x_divide_zero_is_x,negated_conjecture,
divide(a,zero) != a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_x_divide_zero_is_x) ).
cnf(14,plain,
~ less_equal(a,divide(a,zero)),
inference('UR-RESOLVE',[status(thm)],[less_equal_and_equal,quotient_smaller_than_numerator,prove_x_divide_zero_is_x]) ).
cnf(15,plain,
less_equal(divide(divide(X,Y),zero),divide(divide(X,zero),Y)),
inference('PARAMODULATE',[status(thm)],[quotient_property,zero_divide_anything_is_zero,theory(equality)]) ).
cnf(20,plain,
divide(a,divide(a,zero)) != zero,
inference('UR-RESOLVE',[status(thm)],[quotient_less_equal2,14]) ).
cnf(23,plain,
~ less_equal(divide(a,divide(a,zero)),zero),
inference('UR-RESOLVE',[status(thm)],[less_equal_and_equal,20,zero_is_smallest]) ).
cnf(25,plain,
divide(divide(a,divide(a,zero)),zero) != zero,
inference('UR-RESOLVE',[status(thm)],[quotient_less_equal2,23]) ).
cnf(30,plain,
less_equal(divide(divide(X,divide(X,zero)),zero),zero),
inference('PARAMODULATE',[status(thm)],[15,x_divide_x_is_zero,theory(equality)]) ).
cnf(34,plain,
divide(divide(X,divide(X,zero)),zero) = zero,
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,30,zero_is_smallest]) ).
cnf(35,plain,
$false,
inference('REWRITE',[status(thm)],[25,34,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : HEN004-4 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jul 1 14:53:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 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)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T14:53:08
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-07-01T14:53:08
% 0.19/0.50
% 0.19/0.50
% 0.19/0.50 #||
% 0.19/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50 % SZS output start Refutation
% See solution above
% 0.19/0.51 ||#
% 0.19/0.51
% 0.19/0.51 ; Summary of computation:
% 0.19/0.51 ; 203 formulas have been input or derived (from 23 formulas).
% 0.19/0.51 ; 35 (17%) were retained. Of these,
% 0.19/0.51 ; 3 ( 9%) were simplified or subsumed later,
% 0.19/0.51 ; 32 (91%) are still being kept.
% 0.19/0.51 ;
% 0.19/0.51 ; Run time in seconds excluding printing time:
% 0.19/0.51 ; 0.002 5% Read assertion file (1 call)
% 0.19/0.51 ; 0.000 0% Assert (11 calls)
% 0.19/0.51 ; 0.003 8% Process new row (161 calls)
% 0.19/0.51 ; 0.006 16% Resolution (44 calls)
% 0.19/0.51 ; 0.001 3% Paramodulation (22 calls)
% 0.19/0.51 ; 0.001 3% Condensing (3 calls)
% 0.19/0.51 ; 0.000 0% Forward subsumption (3 calls)
% 0.19/0.51 ; 0.000 0% Backward subsumption (3 calls)
% 0.19/0.51 ; 0.003 8% Forward simplification (160 calls)
% 0.19/0.51 ; 0.000 0% Backward simplification (35 calls)
% 0.19/0.51 ; 0.000 0% Ordering (124 calls)
% 0.19/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.51 ; 0.000 0% Purity testing (1 call)
% 0.19/0.51 ; 0.022 58% Other
% 0.19/0.51 ; 0.038 Total
% 0.19/0.51 ; 0.041 Real time
% 0.19/0.51 ;
% 0.19/0.51 ; Term-hash-array has 77 terms in all.
% 0.19/0.51 ; Feature-vector-row-index has 3 entries (3 at peak, 3 added, 0 deleted).
% 0.19/0.51 ; Feature-vector-row-index has 11 nodes (11 at peak, 11 added, 0 deleted).
% 0.19/0.51 ; Retrieved 0 possibly forward subsuming rows in 3 calls.
% 0.19/0.51 ; Retrieved 0 possibly backward subsumed rows in 3 calls.
% 0.19/0.51 ; Path-index has 76 entries (79 at peak, 80 added, 4 deleted).
% 0.19/0.51 ; Path-index has 171 nodes (175 at peak, 176 added, 5 deleted).
% 0.19/0.51 ; Trie-index has 76 entries (79 at peak, 80 added, 4 deleted).
% 0.19/0.51 ; Trie-index has 234 nodes (248 at peak, 251 added, 17 deleted).
% 0.19/0.51 ; Retrieved 388 generalization terms in 330 calls.
% 0.19/0.51 ; Retrieved 50 instance terms in 31 calls.
% 0.19/0.51 ; Retrieved 592 unifiable terms in 228 calls.
% 0.19/0.51 ;
% 0.19/0.51 ; The agenda of rows to process has 2 entries:
% 0.19/0.51 ; 1 with value 16 1 with value 19
% 0.19/0.51 ; The agenda of rows to give has 11 entries:
% 0.19/0.51 ; 2 with value (4 16) 1 with value (4 18) 3 with value (4 20)
% 0.19/0.51 ; 1 with value (4 17) 3 with value (4 19) 1 with value (4 24)
% 0.19/0.51 Evaluation took:
% 0.19/0.51 0.041 seconds of real time
% 0.19/0.51 0.034338 seconds of user run time
% 0.19/0.51 0.006338 seconds of system run time
% 0.19/0.51 0 calls to %EVAL
% 0.19/0.51 0 page faults and
% 0.19/0.51 2,624,232 bytes consed.
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T14:53:08
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 *
%------------------------------------------------------------------------------