TSTP Solution File: FLD064-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : FLD064-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 02:27:18 EDT 2022
% Result : Unsatisfiable 0.75s 0.99s
% Output : Refutation 0.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 11 ( 7 unt; 0 nHn; 11 RR)
% Number of literals : 17 ( 0 equ; 7 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(existence_of_identity_addition,axiom,
( sum(additive_identity,X,X)
| ~ defined(X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).
cnf(existence_of_inverse_addition,axiom,
( sum(additive_inverse(X),X,additive_identity)
| ~ defined(X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_addition) ).
cnf(well_definedness_of_additive_inverse,axiom,
( defined(additive_inverse(X))
| ~ defined(X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_inverse) ).
cnf(compatibility_of_order_relation_and_addition,axiom,
( less_or_equal(X,Y)
| ~ less_or_equal(Z,U)
| ~ sum(Z,V,X)
| ~ sum(U,V,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',compatibility_of_order_relation_and_addition) ).
cnf(a_is_defined,hypothesis,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
cnf(less_or_equal_2,negated_conjecture,
less_or_equal(additive_identity,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_2) ).
cnf(not_less_or_equal_3,negated_conjecture,
~ less_or_equal(additive_inverse(a),additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_3) ).
cnf(32,plain,
defined(additive_inverse(a)),
inference('HYPERRESOLVE',[status(thm)],[well_definedness_of_additive_inverse,a_is_defined]) ).
cnf(35,plain,
sum(additive_inverse(a),a,additive_identity),
inference('HYPERRESOLVE',[status(thm)],[existence_of_inverse_addition,a_is_defined]) ).
cnf(99,plain,
sum(additive_identity,additive_inverse(a),additive_inverse(a)),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_addition,32]) ).
cnf(3005,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[compatibility_of_order_relation_and_addition,35,not_less_or_equal_3,less_or_equal_2]),99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : FLD064-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue Jun 7 03:06:32 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T03:06:32
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-07T03:06:32
% 0.20/0.50
% 0.20/0.50 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?X ?U ?V)) (NOT (|sum| ?U ?W ?Y)) (NOT (|sum| ?V ?W ?Z))).
% 0.20/0.50 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?U ?V ?X)) (NOT (|sum| ?V ?Y ?W)) (NOT (|sum| ?U ?W ?Z))).
% 0.20/0.50 ; Recognized commutativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?Y ?X ?Z))).
% 0.20/0.50 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?X ?U ?V)) (NOT (|product| ?U ?W ?Y)) (NOT (|product| ?V ?W ?Z))).
% 0.20/0.50 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?U ?V ?X)) (NOT (|product| ?V ?Y ?W)) (NOT (|product| ?U ?W ?Z))).
% 0.20/0.50 ; Recognized commutativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?Y ?X ?Z))).
% 0.20/0.50 ; Declaring sum to be commutative.
% 0.75/0.99 ; Declaring product to be commutative.
% 0.75/0.99
% 0.75/0.99 #||
% 0.75/0.99 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.75/0.99 % SZS output start Refutation
% See solution above
% 0.75/0.99 ||#
% 0.75/0.99
% 0.75/0.99 ; Summary of computation:
% 0.75/0.99 ; 6361 formulas have been input or derived (from 61 formulas).
% 0.75/0.99 ; 3005 (47%) were retained. Of these,
% 0.75/0.99 ; 2 ( 0%) were simplified or subsumed later,
% 0.75/0.99 ; 3003 (100%) are still being kept.
% 0.75/0.99 ;
% 0.75/0.99 ; Run time in seconds excluding printing time:
% 0.75/0.99 ; 0.006 1% Read assertion file (1 call)
% 0.75/0.99 ; 0.001 0% Assert (29 calls)
% 0.75/0.99 ; 0.188 38% Process new row (6,230 calls)
% 0.75/0.99 ; 0.123 25% Resolution (120 calls)
% 0.75/0.99 ; 0.002 0% Paramodulation (60 calls)
% 0.75/0.99 ; 0.005 1% Condensing (662 calls)
% 0.75/0.99 ; 0.032 6% Forward subsumption (662 calls)
% 0.75/0.99 ; 0.008 2% Backward subsumption (363 calls)
% 0.75/0.99 ; 0.004 1% Clause clause subsumption (1,325 calls)
% 0.75/0.99 ; 0.049 10% Forward simplification (6,230 calls)
% 0.75/1.00 ; 0.021 4% Backward simplification (3,005 calls)
% 0.75/1.00 ; 0.001 0% Ordering (188 calls)
% 0.75/1.00 ; 0.000 0% Sortal reasoning (32 calls)
% 0.75/1.00 ; 0.000 0% Purity testing (1 call)
% 0.75/1.00 ; 0.055 11% Other
% 0.75/1.00 ; 0.495 Total
% 0.75/1.00 ; 0.512 Real time
% 0.75/1.00 ;
% 0.75/1.00 ; Term-hash-array has 4,646 terms in all.
% 0.75/1.00 ; Feature-vector-row-index has 361 entries (361 at peak, 363 added, 2 deleted).
% 0.75/1.00 ; Feature-vector-row-index has 705 nodes (705 at peak, 717 added, 12 deleted).
% 0.75/1.00 ; Retrieved 1,313 possibly forward subsuming rows in 662 calls.
% 0.75/1.00 ; Retrieved 489 possibly backward subsumed rows in 363 calls.
% 0.75/1.00 ; Path-index has 4,649 entries (4,649 at peak, 4,652 added, 3 deleted).
% 0.75/1.00 ; Path-index has 684 nodes (684 at peak, 687 added, 3 deleted).
% 0.75/1.00 ; Trie-index has 4,649 entries (4,649 at peak, 4,652 added, 3 deleted).
% 0.75/1.00 ; Trie-index has 13,524 nodes (13,524 at peak, 13,528 added, 4 deleted).
% 0.75/1.00 ; Retrieved 2,927 generalization terms in 6,865 calls.
% 0.75/1.00 ; Retrieved 2,644 instance terms in 2,641 calls.
% 0.75/1.00 ; Retrieved 208,387 unifiable terms in 2,216 calls.
% 0.75/1.00 ;
% 0.75/1.00 ; The agenda of rows to process has 2 entries:
% 0.75/1.00 ; 1 with value 10 1 with value 11
% 0.75/1.00 ; The agenda of rows to give has 2942 entries:
% 0.75/1.00 ; 6 with value (4 8) 697 with value (4 13) 90 with value (4 18)
% 0.75/1.00 ; 30 with value (4 9) 29 with value (4 14) 651 with value (4 19)
% 0.75/1.00 ; 74 with value (4 10) 248 with value (4 15) 153 with value (4 20)
% 0.75/1.00 ; 267 with value (4 11) 63 with value (4 16) 18 with value (4 22)
% 0.75/1.00 ; 328 with value (4 12) 288 with value (4 17)
% 0.75/1.00 Evaluation took:
% 0.75/1.00 0.512 seconds of real time
% 0.75/1.00 0.4371 seconds of user run time
% 0.75/1.00 0.059729 seconds of system run time
% 0.75/1.00 [Run times include 0.035 seconds GC run time.]
% 0.75/1.00 0 calls to %EVAL
% 0.75/1.00 0 page faults and
% 0.75/1.00 30,154,400 bytes consed.
% 0.75/1.00 :PROOF-FOUND
% 0.75/1.00 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T03:06:32
% 0.75/1.00 :PROOF-FOUND
% 0.75/1.00 *
%------------------------------------------------------------------------------