TSTP Solution File: HEN011-4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : HEN011-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n012.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 13:02:35 EDT 2022
% Result : Unsatisfiable 0.60s 0.78s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 12 ( 9 unt; 0 nHn; 4 RR)
% Number of literals : 17 ( 5 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 25 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
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(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(transitivity_of_less_equal,axiom,
( ~ less_equal(X,Y)
| ~ less_equal(Y,Z)
| less_equal(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_less_equal) ).
cnf(property_of_divide2,axiom,
( ~ less_equal(X,Y)
| less_equal(divide(Z,Y),divide(Z,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide2) ).
cnf(one_inversion_equals_three,axiom,
divide(identity,divide(identity,divide(identity,X))) = divide(identity,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',one_inversion_equals_three) ).
cnf(prove_this,negated_conjecture,
divide(divide(identity,a),divide(identity,divide(identity,b))) != divide(divide(identity,b),divide(identity,divide(identity,a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(25,plain,
less_equal(divide(X,Y),divide(X,divide(Y,Z))),
inference('HYPERRESOLVE',[status(thm)],[property_of_divide2,quotient_smaller_than_numerator]) ).
cnf(113,plain,
less_equal(divide(divide(X,Y),Z),divide(divide(X,Z),Y)),
inference('HYPERRESOLVE',[status(thm)],[transitivity_of_less_equal,25,quotient_property]) ).
cnf(368,plain,
divide(divide(X,Y),Z) = divide(divide(X,Z),Y),
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,113,113]) ).
cnf(654,plain,
divide(divide(identity,X),Y) = divide(divide(identity,Y),divide(identity,divide(identity,X))),
inference('PARAMODULATE',[status(thm)],[368,one_inversion_equals_three,theory(equality)]) ).
cnf(655,plain,
$false,
inference('REWRITE',[status(thm)],[prove_this,368,654,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HEN011-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n012.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 14:12:17 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 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (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 2022-07-01T14:12:17
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-07-01T14:12:17
% 0.60/0.78
% 0.60/0.78
% 0.60/0.78 #||
% 0.60/0.78 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.78 % SZS output start Refutation
% See solution above
% 0.60/0.78 ||#
% 0.60/0.78
% 0.60/0.78 ; Summary of computation:
% 0.60/0.78 ; 4799 formulas have been input or derived (from 73 formulas).
% 0.60/0.78 ; 655 (14%) were retained. Of these,
% 0.60/0.78 ; 77 (12%) were simplified or subsumed later,
% 0.60/0.78 ; 578 (88%) are still being kept.
% 0.60/0.78 ;
% 0.60/0.78 ; Run time in seconds excluding printing time:
% 0.60/0.78 ; 0.003 1% Read assertion file (1 call)
% 0.60/0.78 ; 0.000 0% Assert (18 calls)
% 0.60/0.78 ; 0.073 23% Process new row (4,232 calls)
% 0.60/0.78 ; 0.075 24% Resolution (144 calls)
% 0.60/0.78 ; 0.026 8% Paramodulation (72 calls)
% 0.60/0.78 ; 0.000 0% Condensing (24 calls)
% 0.60/0.78 ; 0.000 0% Forward subsumption (24 calls)
% 0.60/0.78 ; 0.000 0% Backward subsumption (19 calls)
% 0.60/0.78 ; 0.000 0% Clause clause subsumption (26 calls)
% 0.60/0.78 ; 0.067 22% Forward simplification (4,035 calls)
% 0.60/0.78 ; 0.017 5% Backward simplification (655 calls)
% 0.60/0.78 ; 0.011 4% Ordering (2,982 calls)
% 0.60/0.78 ; 0.001 0% Sortal reasoning (32 calls)
% 0.60/0.78 ; 0.000 0% Purity testing (1 call)
% 0.60/0.78 ; 0.038 12% Other
% 0.60/0.78 ; 0.311 Total
% 0.60/0.78 ; 0.312 Real time
% 0.60/0.78 ;
% 0.60/0.78 ; Term-hash-array has 1,219 terms in all.
% 0.60/0.78 ; Feature-vector-row-index has 15 entries (15 at peak, 19 added, 4 deleted).
% 0.60/0.78 ; Feature-vector-row-index has 54 nodes (63 at peak, 76 added, 22 deleted).
% 0.60/0.78 ; Retrieved 24 possibly forward subsuming rows in 24 calls.
% 0.60/0.78 ; Retrieved 8 possibly backward subsumed rows in 19 calls.
% 0.60/0.78 ; Path-index has 1,087 entries (1,098 at peak, 1,229 added, 142 deleted).
% 0.60/0.78 ; Path-index has 530 nodes (542 at peak, 586 added, 56 deleted).
% 0.60/0.78 ; Trie-index has 1,087 entries (1,098 at peak, 1,229 added, 142 deleted).
% 0.60/0.78 ; Trie-index has 2,618 nodes (2,663 at peak, 3,008 added, 390 deleted).
% 0.60/0.78 ; Retrieved 29,152 generalization terms in 11,969 calls.
% 0.60/0.78 ; Retrieved 2,326 instance terms in 639 calls.
% 0.60/0.78 ; Retrieved 57,658 unifiable terms in 2,383 calls.
% 0.60/0.78 ;
% 0.60/0.78 ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.60/0.78 ; 1 with value 0
% 0.60/0.78 ; The agenda of rows to process has 41 entries:
% 0.60/0.78 ; 3 with value 23 8 with value 25 4 with value 28
% 0.60/0.78 ; 26 with value 24
% 0.60/0.78 ; The agenda of rows to give has 521 entries:
% 0.60/0.78 ; 2 with value (4 17) 79 with value (4 22) 52 with value (4 27)
% 0.60/0.78 ; 22 with value (4 18) 103 with value (4 23) 13 with value (4 28)
% 0.60/0.78 ; 25 with value (4 19) 45 with value (4 24) 5 with value (4 29)
% 0.60/0.78 ; 50 with value (4 20) 32 with value (4 25) 1 with value (4 30)
% 0.60/0.78 ; 46 with value (4 21) 46 with value (4 26)
% 0.60/0.78 Evaluation took:
% 0.60/0.78 0.313 seconds of real time
% 0.60/0.78 0.279412 seconds of user run time
% 0.60/0.78 0.032918 seconds of system run time
% 0.60/0.78 [Run times include 0.009 seconds GC run time.]
% 0.60/0.78 0 calls to %EVAL
% 0.60/0.78 0 page faults and
% 0.60/0.78 17,135,848 bytes consed.
% 0.60/0.78 :PROOF-FOUND
% 0.60/0.78 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T14:12:18
% 0.60/0.78 :PROOF-FOUND
% 0.60/0.78 *
%------------------------------------------------------------------------------