TSTP Solution File: HEN011-5 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : HEN011-5 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 0.76s 0.96s
% Output : Refutation 0.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of clauses : 21 ( 18 unt; 0 nHn; 5 RR)
% Number of literals : 26 ( 25 equ; 7 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 35 ( 5 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(x_divide_x_is_zero,axiom,
divide(X,X) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_divide_x_is_zero) ).
cnf(x_divide_zero_is_x,axiom,
divide(X,zero) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_divide_zero_is_x) ).
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_divide2,axiom,
( divide(X,Y) != zero
| divide(divide(Z,Y),divide(Z,X)) = zero ),
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(21,plain,
divide(divide(X,Y),divide(identity,Y)) = zero,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[quotient_property,identity_is_largest,theory(equality)]),x_divide_zero_is_x,zero_is_smallest,theory(equality)]) ).
cnf(24,plain,
divide(divide(X,divide(X,Y)),divide(Y,divide(X,Y))) = zero,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[quotient_property,x_divide_x_is_zero,theory(equality)]),x_divide_zero_is_x,theory(equality)]) ).
cnf(33,plain,
divide(divide(X,Y),divide(X,divide(Y,Z))) = zero,
inference('HYPERRESOLVE',[status(thm)],[property_of_divide2,quotient_smaller_than_numerator]) ).
cnf(125,plain,
divide(divide(divide(X,Y),Z),divide(divide(X,Z),Y)) = zero,
inference('HYPERRESOLVE',[status(thm)],[transitivity_of_divide_to_zero,33,quotient_property]) ).
cnf(192,plain,
divide(identity,divide(identity,X)) = divide(X,divide(identity,X)),
inference('HYPERRESOLVE',[status(thm)],[divide_and_equal,24,21]) ).
cnf(193,plain,
divide(divide(identity,a),divide(b,divide(identity,b))) != divide(divide(identity,b),divide(a,divide(identity,a))),
inference('REWRITE',[status(thm)],[prove_this,192,theory(equality)]) ).
cnf(212,plain,
divide(identity,divide(X,divide(identity,X))) = divide(identity,X),
inference('PARAMODULATE',[status(thm)],[one_inversion_equals_three,192,theory(equality)]) ).
cnf(476,plain,
divide(divide(X,Y),Z) = divide(divide(X,Z),Y),
inference('HYPERRESOLVE',[status(thm)],[divide_and_equal,125,125]) ).
cnf(588,plain,
divide(divide(identity,X),Y) = divide(divide(identity,Y),divide(X,divide(identity,X))),
inference('PARAMODULATE',[status(thm)],[476,212,theory(equality)]) ).
cnf(589,plain,
$false,
inference('REWRITE',[status(thm)],[193,476,588,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : HEN011-5 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.10/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n024.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 13:44:00 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-07-01T13:44:00
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-07-01T13:44:00
% 0.18/0.48
% 0.76/0.96 ; Recognized right identity assertion (= (|divide| ?X |zero|) ?X).
% 0.76/0.96
% 0.76/0.96 #||
% 0.76/0.96 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.76/0.96 % SZS output start Refutation
% See solution above
% 0.76/0.96 ||#
% 0.76/0.96
% 0.76/0.96 ; Summary of computation:
% 0.76/0.96 ; 6241 formulas have been input or derived (from 56 formulas).
% 0.76/0.96 ; 589 ( 9%) were retained. Of these,
% 0.76/0.96 ; 165 (28%) were simplified or subsumed later,
% 0.76/0.96 ; 424 (72%) are still being kept.
% 0.76/0.96 ;
% 0.76/0.96 ; Run time in seconds excluding printing time:
% 0.76/0.96 ; 0.003 1% Read assertion file (1 call)
% 0.76/0.96 ; 0.001 0% Assert (14 calls)
% 0.76/0.96 ; 0.064 13% Process new row (5,394 calls)
% 0.76/0.96 ; 0.103 21% Resolution (110 calls)
% 0.76/0.96 ; 0.037 7% Paramodulation (55 calls)
% 0.76/0.96 ; 0.001 0% Condensing (218 calls)
% 0.76/0.96 ; 0.020 4% Forward subsumption (218 calls)
% 0.76/0.96 ; 0.002 0% Backward subsumption (122 calls)
% 0.76/0.96 ; 0.006 1% Clause clause subsumption (1,713 calls)
% 0.76/0.96 ; 0.156 31% Forward simplification (4,871 calls)
% 0.76/0.96 ; 0.021 4% Backward simplification (589 calls)
% 0.76/0.96 ; 0.034 7% Ordering (7,673 calls)
% 0.76/0.96 ; 0.001 0% Sortal reasoning (32 calls)
% 0.76/0.96 ; 0.000 0% Purity testing (1 call)
% 0.76/0.96 ; 0.050 10% Other
% 0.76/0.96 ; 0.499 Total
% 0.76/0.96 ; 0.501 Real time
% 0.76/0.96 ;
% 0.76/0.96 ; Term-hash-array has 1,607 terms in all.
% 0.76/0.96 ; Feature-vector-row-index has 114 entries (115 at peak, 122 added, 8 deleted).
% 0.76/0.96 ; Feature-vector-row-index has 490 nodes (490 at peak, 514 added, 24 deleted).
% 0.76/0.96 ; Retrieved 1,776 possibly forward subsuming rows in 218 calls.
% 0.76/0.96 ; Retrieved 311 possibly backward subsumed rows in 122 calls.
% 0.76/0.96 ; Path-index has 1,170 entries (1,263 at peak, 1,636 added, 466 deleted).
% 0.76/0.96 ; Path-index has 550 nodes (598 at peak, 646 added, 96 deleted).
% 0.76/0.96 ; Trie-index has 1,170 entries (1,263 at peak, 1,636 added, 466 deleted).
% 0.76/0.96 ; Trie-index has 3,550 nodes (3,874 at peak, 5,114 added, 1,564 deleted).
% 0.76/0.96 ; Retrieved 47,098 generalization terms in 28,436 calls.
% 0.76/0.96 ; Retrieved 5,226 instance terms in 478 calls.
% 0.76/0.96 ; Retrieved 122,354 unifiable terms in 2,507 calls.
% 0.76/0.96 ;
% 0.76/0.96 ; The agenda of rows to process has 109 entries:
% 0.76/0.96 ; 7 with value 23 8 with value 27 2 with value 30
% 0.76/0.96 ; 24 with value 24 12 with value 28 10 with value 31
% 0.76/0.96 ; 14 with value 25 4 with value 29 2 with value 32
% 0.76/0.96 ; 26 with value 26
% 0.76/0.96 ; The agenda of rows to give has 381 entries:
% 0.76/0.96 ; 1 with value (4 17) 28 with value (4 24) 17 with value (4 30)
% 0.76/0.96 ; 4 with value (4 19) 55 with value (4 25) 6 with value (4 31)
% 0.76/0.96 ; 20 with value (4 20) 41 with value (4 26) 9 with value (4 32)
% 0.76/0.96 ; 12 with value (4 21) 39 with value (4 27) 4 with value (4 33)
% 0.76/0.96 ; 28 with value (4 22) 33 with value (4 28) 2 with value (4 34)
% 0.76/0.96 ; 44 with value (4 23) 38 with value (4 29)
% 0.76/0.96 Evaluation took:
% 0.76/0.96 0.501 seconds of real time
% 0.76/0.96 0.460195 seconds of user run time
% 0.76/0.96 0.040964 seconds of system run time
% 0.76/0.96 [Run times include 0.011 seconds GC run time.]
% 0.76/0.96 0 calls to %EVAL
% 0.76/0.96 0 page faults and
% 0.76/0.96 31,089,976 bytes consed.
% 0.76/0.96 :PROOF-FOUND
% 0.76/0.96 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T13:44:01
% 0.76/0.96 :PROOF-FOUND
% 0.76/0.96 *
%------------------------------------------------------------------------------