TSTP Solution File: HEN010-5 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : HEN010-5 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 13:02:33 EDT 2022
% Result : Unsatisfiable 0.16s 0.56s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 23 ( 19 unt; 0 nHn; 6 RR)
% Number of literals : 29 ( 28 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 41 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(quotient_smaller_than_numerator,axiom,
divide(divide(X,Y),X) = zero,
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/HEN003-0.ax',quotient_property) ).
cnf(zero_is_smallest,axiom,
divide(zero,X) = zero,
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/HEN003-0.ax',divide_and_equal) ).
cnf(identity_is_largest,axiom,
divide(X,identity) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/HEN003-0.ax',identity_is_largest) ).
cnf(transitivity_of_divide_to_zero,axiom,
( divide(X,Y) != zero
| divide(Y,Z) != zero
| divide(X,Z) = zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_divide_to_zero) ).
cnf(property_of_divide1,axiom,
( divide(divide(X,Y),Z) != zero
| divide(divide(X,Z),Y) = zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide1) ).
cnf(property_of_divide3,axiom,
( divide(X,Y) != zero
| divide(divide(X,Z),divide(Y,Z)) = zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide3) ).
cnf(prove_this,negated_conjecture,
divide(identity,a) != divide(divide(identity,a),divide(identity,divide(identity,a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(12,plain,
divide(divide(identity,a),divide(divide(identity,a),divide(identity,divide(identity,a)))) != zero,
inference('UR-RESOLVE',[status(thm)],[divide_and_equal,quotient_smaller_than_numerator,prove_this]) ).
cnf(23,plain,
divide(divide(X,Y),divide(identity,Y)) = zero,
inference('HYPERRESOLVE',[status(thm)],[property_of_divide3,identity_is_largest]) ).
cnf(26,plain,
divide(divide(X,X),Y) = zero,
inference('HYPERRESOLVE',[status(thm)],[property_of_divide1,quotient_smaller_than_numerator]) ).
cnf(30,plain,
divide(divide(divide(X,Y),divide(Z,Y)),divide(X,Z)) = zero,
inference('HYPERRESOLVE',[status(thm)],[transitivity_of_divide_to_zero,quotient_property,quotient_smaller_than_numerator]) ).
cnf(38,plain,
divide(X,X) = zero,
inference('HYPERRESOLVE',[status(thm)],[divide_and_equal,26,zero_is_smallest]) ).
cnf(39,plain,
divide(divide(X,divide(X,Y)),Y) = zero,
inference('HYPERRESOLVE',[status(thm)],[property_of_divide1,38]) ).
cnf(45,plain,
divide(divide(divide(X,divide(identity,Y)),divide(Y,divide(identity,Y))),zero) = zero,
inference('PARAMODULATE',[status(thm)],[quotient_property,23,theory(equality)]) ).
cnf(89,plain,
divide(X,divide(X,zero)) = zero,
inference('HYPERRESOLVE',[status(thm)],[divide_and_equal,39,zero_is_smallest]) ).
cnf(107,plain,
X = divide(X,zero),
inference('HYPERRESOLVE',[status(thm)],[divide_and_equal,89,quotient_smaller_than_numerator]) ).
cnf(113,plain,
divide(divide(X,divide(identity,Y)),divide(Y,divide(identity,Y))) = zero,
inference('REWRITE',[status(thm)],[45,107,theory(equality)]) ).
cnf(154,plain,
divide(divide(X,Y),divide(X,divide(Y,Z))) = zero,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[30,quotient_smaller_than_numerator,theory(equality)]),107,theory(equality)]) ).
cnf(183,plain,
divide(divide(X,Y),divide(identity,divide(Y,Z))) = zero,
inference('HYPERRESOLVE',[status(thm)],[transitivity_of_divide_to_zero,154,23]) ).
cnf(309,plain,
divide(identity,divide(identity,X)) = divide(X,divide(identity,X)),
inference('HYPERRESOLVE',[status(thm)],[divide_and_equal,113,23]) ).
cnf(311,plain,
$false,
inference('REWRITE',[status(thm)],[12,183,309,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : HEN010-5 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.31 % Computer : n028.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 600
% 0.12/0.31 % DateTime : Fri Jul 1 14:24:16 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.16/0.43 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.44 *
% 0.16/0.44 *
% 0.16/0.44 #<PACKAGE "SNARK-USER">
% 0.16/0.44 *
% 0.16/0.44 SNARK-TPTP-OPTIONS
% 0.16/0.44 *
% 0.16/0.44 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.16/0.44 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.16/0.44 (USE-FACTORING :POS)
% 0.16/0.44 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.16/0.44 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.16/0.44 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.16/0.44 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.16/0.44 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.16/0.44 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.16/0.44 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.16/0.44 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.16/0.44 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.16/0.44 (DECLARE-TPTP-SYMBOLS2))
% 0.16/0.44 *
% 0.16/0.44 "."
% 0.16/0.44 *
% 0.16/0.44 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T14:24:16
% 0.16/0.44 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-07-01T14:24:16
% 0.16/0.56
% 0.16/0.56
% 0.16/0.56 #||
% 0.16/0.56 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.56 % SZS output start Refutation
% See solution above
% 0.16/0.57 ||#
% 0.16/0.57
% 0.16/0.57 ; Summary of computation:
% 0.16/0.57 ; 2627 formulas have been input or derived (from 41 formulas).
% 0.16/0.57 ; 311 (12%) were retained. Of these,
% 0.16/0.57 ; 34 (11%) were simplified or subsumed later,
% 0.16/0.57 ; 277 (89%) are still being kept.
% 0.16/0.57 ;
% 0.16/0.57 ; Run time in seconds excluding printing time:
% 0.16/0.57 ; 0.002 2% Read assertion file (1 call)
% 0.16/0.57 ; 0.000 0% Assert (9 calls)
% 0.16/0.57 ; 0.026 22% Process new row (1,997 calls)
% 0.16/0.57 ; 0.023 19% Resolution (80 calls)
% 0.16/0.57 ; 0.013 11% Paramodulation (40 calls)
% 0.16/0.57 ; 0.002 2% Condensing (104 calls)
% 0.16/0.57 ; 0.003 3% Forward subsumption (104 calls)
% 0.16/0.57 ; 0.000 0% Backward subsumption (65 calls)
% 0.16/0.57 ; 0.000 0% Clause clause subsumption (447 calls)
% 0.16/0.57 ; 0.034 29% Forward simplification (1,841 calls)
% 0.16/0.57 ; 0.003 3% Backward simplification (311 calls)
% 0.16/0.57 ; 0.001 1% Ordering (1,858 calls)
% 0.16/0.57 ; 0.000 0% Sortal reasoning (32 calls)
% 0.16/0.57 ; 0.000 0% Purity testing (1 call)
% 0.16/0.57 ; 0.012 10% Other
% 0.16/0.57 ; 0.119 Total
% 0.16/0.57 ; 0.130 Real time
% 0.16/0.57 ;
% 0.16/0.57 ; Term-hash-array has 880 terms in all.
% 0.16/0.57 ; Feature-vector-row-index has 60 entries (60 at peak, 65 added, 5 deleted).
% 0.16/0.57 ; Feature-vector-row-index has 268 nodes (268 at peak, 302 added, 34 deleted).
% 0.16/0.57 ; Retrieved 401 possibly forward subsuming rows in 104 calls.
% 0.16/0.57 ; Retrieved 83 possibly backward subsumed rows in 65 calls.
% 0.16/0.57 ; Path-index has 812 entries (814 at peak, 914 added, 102 deleted).
% 0.16/0.57 ; Path-index has 566 nodes (569 at peak, 622 added, 56 deleted).
% 0.16/0.57 ; Trie-index has 812 entries (814 at peak, 914 added, 102 deleted).
% 0.16/0.57 ; Trie-index has 2,326 nodes (2,346 at peak, 2,702 added, 376 deleted).
% 0.16/0.57 ; Retrieved 14,598 generalization terms in 9,594 calls.
% 0.16/0.57 ; Retrieved 936 instance terms in 247 calls.
% 0.16/0.57 ; Retrieved 34,989 unifiable terms in 1,162 calls.
% 0.16/0.57 ;
% 0.16/0.57 ; The agenda of rows to process has 127 entries:
% 0.16/0.57 ; 14 with value 17 16 with value 23 2 with value 29
% 0.16/0.57 ; 4 with value 18 6 with value 24 7 with value 30
% 0.16/0.57 ; 8 with value 19 7 with value 25 2 with value 33
% 0.16/0.57 ; 17 with value 20 10 with value 26 2 with value 34
% 0.16/0.57 ; 13 with value 21 7 with value 27 1 with value 38
% 0.16/0.57 ; 7 with value 22 4 with value 28
% 0.16/0.57 ; The agenda of input rows to give has 1 entry:
% 0.16/0.57 ; 1 with value 15
% 0.16/0.57 ; The agenda of rows to give has 242 entries:
% 0.16/0.57 ; 1 with value (4 17) 25 with value (4 24) 9 with value (4 30)
% 0.16/0.57 ; 3 with value (4 19) 27 with value (4 25) 2 with value (4 31)
% 0.16/0.57 ; 12 with value (4 20) 32 with value (4 26) 5 with value (4 32)
% 0.16/0.57 ; 13 with value (4 21) 25 with value (4 27) 3 with value (4 33)
% 0.16/0.57 ; 21 with value (4 22) 17 with value (4 28) 1 with value (4 34)
% 0.16/0.57 ; 26 with value (4 23) 19 with value (4 29) 1 with value (4 36)
% 0.16/0.57 Evaluation took:
% 0.16/0.57 0.131 seconds of real time
% 0.16/0.57 0.118214 seconds of user run time
% 0.16/0.57 0.012225 seconds of system run time
% 0.16/0.57 [Run times include 0.008 seconds GC run time.]
% 0.16/0.57 0 calls to %EVAL
% 0.16/0.57 0 page faults and
% 0.16/0.57 12,698,248 bytes consed.
% 0.16/0.57 :PROOF-FOUND
% 0.16/0.57 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T14:24:16
% 0.16/0.57 :PROOF-FOUND
% 0.16/0.57 *
%------------------------------------------------------------------------------