TSTP Solution File: FLD059-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : FLD059-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 02:27:16 EDT 2022
% Result : Unsatisfiable 0.84s 1.01s
% Output : Refutation 0.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of clauses : 11 ( 7 unt; 0 nHn; 11 RR)
% Number of literals : 19 ( 0 equ; 10 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; 0-2 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(existence_of_identity_addition,axiom,
( sum(additive_identity,X,X)
| ~ defined(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).
cnf(totality_of_addition,axiom,
( sum(X,Y,add(X,Y))
| ~ defined(X)
| ~ defined(Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',totality_of_addition) ).
cnf(transitivity_of_order_relation,axiom,
( less_or_equal(X,Y)
| ~ less_or_equal(X,Z)
| ~ less_or_equal(Z,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',transitivity_of_order_relation) ).
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/sandbox/benchmark/Axioms/FLD002-0.ax',compatibility_of_order_relation_and_addition) ).
cnf(a_is_defined,hypothesis,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
cnf(less_or_equal_2,negated_conjecture,
less_or_equal(additive_identity,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_2) ).
cnf(not_less_or_equal_3,negated_conjecture,
~ less_or_equal(additive_identity,add(a,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_less_or_equal_3) ).
cnf(26,plain,
sum(additive_identity,a,a),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_addition,a_is_defined]) ).
cnf(56,plain,
~ less_or_equal(a,add(a,a)),
inference('UR-RESOLVE',[status(thm)],[transitivity_of_order_relation,not_less_or_equal_3,less_or_equal_2]) ).
cnf(59,plain,
sum(a,a,add(a,a)),
inference('HYPERRESOLVE',[status(thm)],[totality_of_addition,a_is_defined,a_is_defined]) ).
cnf(3034,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[compatibility_of_order_relation_and_addition,56,less_or_equal_2,26]),59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : FLD059-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.12/0.14 % Command : run-snark %s %d
% 0.14/0.36 % Computer : n028.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Mon Jun 6 13:19:58 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.20/0.48 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.49 *
% 0.20/0.49 *
% 0.20/0.50 #<PACKAGE "SNARK-USER">
% 0.20/0.50 *
% 0.20/0.50 SNARK-TPTP-OPTIONS
% 0.20/0.50 *
% 0.20/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.50 (USE-FACTORING :POS)
% 0.20/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.50 *
% 0.20/0.50 "."
% 0.20/0.50 *
% 0.20/0.50 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-06T13:19:59
% 0.20/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-06T13:19:59
% 0.20/0.52
% 0.20/0.52 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?X ?U ?V)) (NOT (|sum| ?U ?W ?Y)) (NOT (|sum| ?V ?W ?Z))).
% 0.20/0.52 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?U ?V ?X)) (NOT (|sum| ?V ?Y ?W)) (NOT (|sum| ?U ?W ?Z))).
% 0.20/0.52 ; Recognized commutativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?Y ?X ?Z))).
% 0.20/0.52 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?X ?U ?V)) (NOT (|product| ?U ?W ?Y)) (NOT (|product| ?V ?W ?Z))).
% 0.20/0.52 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?U ?V ?X)) (NOT (|product| ?V ?Y ?W)) (NOT (|product| ?U ?W ?Z))).
% 0.20/0.52 ; Recognized commutativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?Y ?X ?Z))).
% 0.20/0.52 ; Declaring sum to be commutative.
% 0.84/1.01 ; Declaring product to be commutative.
% 0.84/1.01
% 0.84/1.01 #||
% 0.84/1.01 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.84/1.01 % SZS output start Refutation
% See solution above
% 0.84/1.01 ||#
% 0.84/1.01
% 0.84/1.01 ; Summary of computation:
% 0.84/1.01 ; 6458 formulas have been input or derived (from 64 formulas).
% 0.84/1.01 ; 3034 (47%) were retained. Of these,
% 0.84/1.01 ; 4 ( 0%) were simplified or subsumed later,
% 0.84/1.01 ; 3030 (100%) are still being kept.
% 0.84/1.01 ;
% 0.84/1.01 ; Run time in seconds excluding printing time:
% 0.84/1.01 ; 0.006 1% Read assertion file (1 call)
% 0.84/1.01 ; 0.001 0% Assert (29 calls)
% 0.84/1.01 ; 0.196 39% Process new row (6,292 calls)
% 0.84/1.01 ; 0.132 26% Resolution (126 calls)
% 0.84/1.01 ; 0.000 0% Paramodulation (63 calls)
% 0.84/1.01 ; 0.002 0% Condensing (660 calls)
% 0.84/1.01 ; 0.028 6% Forward subsumption (660 calls)
% 0.84/1.01 ; 0.004 1% Backward subsumption (362 calls)
% 0.84/1.01 ; 0.003 1% Clause clause subsumption (1,324 calls)
% 0.84/1.01 ; 0.057 11% Forward simplification (6,292 calls)
% 0.84/1.01 ; 0.023 5% Backward simplification (3,034 calls)
% 0.84/1.01 ; 0.000 0% Ordering (348 calls)
% 0.84/1.01 ; 0.001 0% Sortal reasoning (32 calls)
% 0.84/1.01 ; 0.000 0% Purity testing (1 call)
% 0.84/1.01 ; 0.052 10% Other
% 0.84/1.01 ; 0.505 Total
% 0.84/1.01 ; 0.507 Real time
% 0.84/1.01 ;
% 0.84/1.01 ; Term-hash-array has 4,671 terms in all.
% 0.84/1.01 ; Feature-vector-row-index has 358 entries (360 at peak, 362 added, 4 deleted).
% 0.84/1.01 ; Feature-vector-row-index has 696 nodes (704 at peak, 716 added, 20 deleted).
% 0.84/1.01 ; Retrieved 1,312 possibly forward subsuming rows in 660 calls.
% 0.84/1.01 ; Retrieved 489 possibly backward subsumed rows in 362 calls.
% 0.84/1.01 ; Path-index has 4,674 entries (4,674 at peak, 4,680 added, 6 deleted).
% 0.84/1.01 ; Path-index has 684 nodes (684 at peak, 690 added, 6 deleted).
% 0.84/1.01 ; Trie-index has 4,674 entries (4,674 at peak, 4,680 added, 6 deleted).
% 0.84/1.01 ; Trie-index has 13,575 nodes (13,575 at peak, 13,584 added, 9 deleted).
% 0.84/1.01 ; Retrieved 2,963 generalization terms in 6,927 calls.
% 0.84/1.01 ; Retrieved 2,681 instance terms in 2,671 calls.
% 0.84/1.01 ; Retrieved 221,031 unifiable terms in 2,695 calls.
% 0.84/1.01 ;
% 0.84/1.01 ; The agenda of rows to process has 1 entry:
% 0.84/1.01 ; 1 with value 10
% 0.84/1.01 ; The agenda of rows to give has 2966 entries:
% 0.84/1.01 ; 4 with value (4 8) 697 with value (4 13) 90 with value (4 18)
% 0.84/1.01 ; 39 with value (4 9) 30 with value (4 14) 650 with value (4 19)
% 0.84/1.01 ; 84 with value (4 10) 248 with value (4 15) 153 with value (4 20)
% 0.84/1.01 ; 276 with value (4 11) 60 with value (4 16) 18 with value (4 22)
% 0.84/1.01 ; 329 with value (4 12) 288 with value (4 17)
% 0.84/1.01 Evaluation took:
% 0.84/1.01 0.508 seconds of real time
% 0.84/1.01 0.462097 seconds of user run time
% 0.84/1.01 0.045646 seconds of system run time
% 0.84/1.01 [Run times include 0.04 seconds GC run time.]
% 0.84/1.01 0 calls to %EVAL
% 0.84/1.01 0 page faults and
% 0.84/1.01 30,668,904 bytes consed.
% 0.84/1.01 :PROOF-FOUND
% 0.84/1.01 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-06T13:19:59
% 0.84/1.01 :PROOF-FOUND
% 0.84/1.01 *
%------------------------------------------------------------------------------