TSTP Solution File: FLD025-3 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : FLD025-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 02:27:03 EDT 2022
% Result : Unsatisfiable 5.78s 5.97s
% Output : Refutation 5.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 12 ( 9 unt; 0 nHn; 12 RR)
% Number of literals : 18 ( 0 equ; 7 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity_multiplication_1,axiom,
( product(X,Y,Z)
| ~ product(X,U,V)
| ~ product(U,W,Y)
| ~ product(V,W,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_multiplication_1) ).
cnf(existence_of_identity_multiplication,axiom,
( product(multiplicative_identity,X,X)
| ~ defined(X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_identity_multiplication) ).
cnf(totality_of_multiplication,axiom,
( product(X,Y,multiply(X,Y))
| ~ defined(X)
| ~ defined(Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',totality_of_multiplication) ).
cnf(a_is_defined,hypothesis,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
cnf(c_is_defined,hypothesis,
defined(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_is_defined) ).
cnf(product_5,negated_conjecture,
product(multiplicative_identity,a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_5) ).
cnf(product_6,negated_conjecture,
product(multiplicative_identity,c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_6) ).
cnf(not_product_7,negated_conjecture,
~ product(d,b,multiply(a,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_7) ).
cnf(37,plain,
product(multiplicative_identity,c,c),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_multiplication,c_is_defined]) ).
cnf(186,plain,
product(a,c,multiply(a,c)),
inference('HYPERRESOLVE',[status(thm)],[totality_of_multiplication,a_is_defined,c_is_defined]) ).
cnf(233,plain,
product(multiplicative_identity,d,c),
inference('HYPERRESOLVE',[status(thm)],[associativity_multiplication_1,37,product_6,37]) ).
cnf(33105,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[associativity_multiplication_1,233,not_product_7,product_5]),186]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : FLD025-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.08/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 7 01:13:48 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-07T01:13:48
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-07T01:13:48
% 0.19/0.49
% 0.19/0.49 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?X ?U ?V)) (NOT (|sum| ?U ?W ?Y)) (NOT (|sum| ?V ?W ?Z))).
% 0.19/0.49 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?U ?V ?X)) (NOT (|sum| ?V ?Y ?W)) (NOT (|sum| ?U ?W ?Z))).
% 0.19/0.49 ; Recognized commutativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?Y ?X ?Z))).
% 0.19/0.49 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?X ?U ?V)) (NOT (|product| ?U ?W ?Y)) (NOT (|product| ?V ?W ?Z))).
% 0.19/0.49 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?U ?V ?X)) (NOT (|product| ?V ?Y ?W)) (NOT (|product| ?U ?W ?Z))).
% 0.19/0.49 ; Recognized commutativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?Y ?X ?Z))).
% 0.19/0.49 ; Declaring sum to be commutative.
% 5.78/5.97 ; Declaring product to be commutative.
% 5.78/5.97
% 5.78/5.97 #||
% 5.78/5.97 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.78/5.97 % SZS output start Refutation
% See solution above
% 5.78/5.98 ||#
% 5.78/5.98
% 5.78/5.98 ; Summary of computation:
% 5.78/5.98 ; 67218 formulas have been input or derived (from 129 formulas).
% 5.78/5.98 ; 33105 (49%) were retained. Of these,
% 5.78/5.98 ; 2 ( 0%) were simplified or subsumed later,
% 5.78/5.98 ; 33103 (100%) are still being kept.
% 5.78/5.98 ;
% 5.78/5.98 ; Run time in seconds excluding printing time:
% 5.78/5.98 ; 0.007 0% Read assertion file (1 call)
% 5.78/5.98 ; 0.001 0% Assert (33 calls)
% 5.78/5.98 ; 2.076 38% Process new row (66,908 calls)
% 5.78/5.98 ; 1.957 36% Resolution (256 calls)
% 5.78/5.98 ; 0.001 0% Paramodulation (128 calls)
% 5.78/5.98 ; 0.006 0% Condensing (7,326 calls)
% 5.78/5.98 ; 0.315 6% Forward subsumption (7,326 calls)
% 5.78/5.98 ; 0.099 2% Backward subsumption (3,755 calls)
% 5.78/5.98 ; 0.053 1% Clause clause subsumption (31,490 calls)
% 5.78/5.98 ; 0.464 8% Forward simplification (66,908 calls)
% 5.78/5.98 ; 0.307 6% Backward simplification (33,105 calls)
% 5.78/5.98 ; 0.000 0% Ordering (364 calls)
% 5.78/5.98 ; 0.000 0% Sortal reasoning (32 calls)
% 5.78/5.98 ; 0.001 0% Purity testing (1 call)
% 5.78/5.98 ; 0.215 4% Other
% 5.78/5.98 ; 5.502 Total
% 5.78/5.98 ; 5.504 Real time
% 5.78/5.98 ;
% 5.78/5.98 ; Term-hash-array has 51,398 terms in all.
% 5.78/5.98 ; Feature-vector-row-index has 3,753 entries (3,753 at peak, 3,755 added, 2 deleted).
% 5.78/5.98 ; Feature-vector-row-index has 2,315 nodes (2,315 at peak, 2,327 added, 12 deleted).
% 5.78/5.98 ; Retrieved 67,338 possibly forward subsuming rows in 7,326 calls.
% 5.78/5.98 ; Retrieved 30,748 possibly backward subsumed rows in 3,755 calls.
% 5.78/5.98 ; Path-index has 51,404 entries (51,404 at peak, 51,407 added, 3 deleted).
% 5.78/5.98 ; Path-index has 1,107 nodes (1,107 at peak, 1,110 added, 3 deleted).
% 5.78/5.98 ; Trie-index has 51,404 entries (51,404 at peak, 51,407 added, 3 deleted).
% 5.78/5.98 ; Trie-index has 143,042 nodes (143,042 at peak, 143,046 added, 4 deleted).
% 5.78/5.98 ; Retrieved 30,231 generalization terms in 74,203 calls.
% 5.78/5.98 ; Retrieved 29,352 instance terms in 29,349 calls.
% 5.78/5.98 ; Retrieved 7,436,898 unifiable terms in 5,856 calls.
% 5.78/5.98 ;
% 5.78/5.98 ; The agenda of rows to process has 1 entry:
% 5.78/5.98 ; 1 with value 11
% 5.78/5.98 ; The agenda of rows to give has 32974 entries:
% 5.78/5.98 ; 7 with value (4 7) 2167 with value (4 12) 2016 with value (4 17)
% 5.78/5.98 ; 8 with value (4 8) 10540 with value (4 13) 576 with value (4 18)
% 5.78/5.98 ; 101 with value (4 9) 114 with value (4 14) 10374 with value (4 19)
% 5.78/5.98 ; 256 with value (4 10) 1826 with value (4 15) 2556 with value (4 20)
% 5.78/5.98 ; 1902 with value (4 11) 459 with value (4 16) 72 with value (4 22)
% 5.78/5.98 Evaluation took:
% 5.78/5.98 5.505 seconds of real time
% 5.78/5.98 5.116557 seconds of user run time
% 5.78/5.98 0.388648 seconds of system run time
% 5.78/5.98 [Run times include 0.947 seconds GC run time.]
% 5.78/5.98 0 calls to %EVAL
% 5.78/5.98 0 page faults and
% 5.78/5.98 389,790,768 bytes consed.
% 5.78/5.98 :PROOF-FOUND
% 5.78/5.98 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T01:13:54
% 5.78/5.98 :PROOF-FOUND
% 5.78/5.98 *
%------------------------------------------------------------------------------