TSTP Solution File: FLD043-3 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : FLD043-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 02:27:09 EDT 2022
% Result : Unsatisfiable 1.68s 1.92s
% Output : Refutation 1.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 13 ( 9 unt; 0 nHn; 13 RR)
% Number of literals : 22 ( 0 equ; 11 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 16 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity_addition_1,axiom,
( sum(X,Y,Z)
| ~ sum(X,U,V)
| ~ sum(U,W,Y)
| ~ sum(V,W,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',associativity_addition_1) ).
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(existence_of_inverse_addition,axiom,
( sum(additive_inverse(X),X,additive_identity)
| ~ defined(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_addition) ).
cnf(distributivity_1,axiom,
( sum(X,Y,Z)
| ~ sum(U,V,W)
| ~ product(W,X1,Z)
| ~ product(U,X1,X)
| ~ product(V,X1,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',distributivity_1) ).
cnf(well_definedness_of_additive_identity,axiom,
defined(additive_identity),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_identity) ).
cnf(b_is_defined,hypothesis,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
cnf(product_3,negated_conjecture,
product(additive_identity,a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_3) ).
cnf(not_sum_4,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_4) ).
cnf(30,plain,
sum(additive_identity,additive_identity,additive_identity),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_addition,well_definedness_of_additive_identity]) ).
cnf(39,plain,
sum(additive_inverse(b),b,additive_identity),
inference('HYPERRESOLVE',[status(thm)],[existence_of_inverse_addition,b_is_defined]) ).
cnf(129,plain,
sum(b,b,b),
inference('HYPERRESOLVE',[status(thm)],[distributivity_1,30,product_3,product_3,product_3]) ).
cnf(8647,plain,
~ sum(b,X,additive_identity),
inference('UR-RESOLVE',[status(thm)],[associativity_addition_1,129,not_sum_4]) ).
cnf(8648,plain,
$false,
inference('REWRITE',[status(thm)],[39,8647]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : FLD043-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n023.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 : Mon Jun 6 22:17:54 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (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 2022-06-06T22:17:54
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-06T22:17:54
% 0.19/0.48
% 0.19/0.48 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?X ?U ?V)) (NOT (|sum| ?U ?W ?Y)) (NOT (|sum| ?V ?W ?Z))).
% 0.19/0.48 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?U ?V ?X)) (NOT (|sum| ?V ?Y ?W)) (NOT (|sum| ?U ?W ?Z))).
% 0.19/0.48 ; Recognized commutativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?Y ?X ?Z))).
% 0.19/0.48 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?X ?U ?V)) (NOT (|product| ?U ?W ?Y)) (NOT (|product| ?V ?W ?Z))).
% 0.19/0.48 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?U ?V ?X)) (NOT (|product| ?V ?Y ?W)) (NOT (|product| ?U ?W ?Z))).
% 0.19/0.48 ; Recognized commutativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?Y ?X ?Z))).
% 0.19/0.48 ; Declaring sum to be commutative.
% 1.68/1.92 ; Declaring product to be commutative.
% 1.68/1.92
% 1.68/1.92 #||
% 1.68/1.92 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.68/1.92 % SZS output start Refutation
% See solution above
% 1.68/1.92 ||#
% 1.68/1.92
% 1.68/1.92 ; Summary of computation:
% 1.68/1.92 ; 17853 formulas have been input or derived (from 83 formulas).
% 1.68/1.92 ; 8648 (48%) were retained. Of these,
% 1.68/1.92 ; 7 ( 0%) were simplified or subsumed later,
% 1.68/1.92 ; 8641 (100%) are still being kept.
% 1.68/1.92 ;
% 1.68/1.92 ; Run time in seconds excluding printing time:
% 1.68/1.92 ; 0.006 0% Read assertion file (1 call)
% 1.68/1.92 ; 0.002 0% Assert (30 calls)
% 1.68/1.92 ; 0.594 41% Process new row (17,654 calls)
% 1.68/1.92 ; 0.439 30% Resolution (164 calls)
% 1.76/1.95 ; 0.000 0% Paramodulation (82 calls)
% 1.76/1.95 ; 0.007 0% Condensing (1,906 calls)
% 1.76/1.95 ; 0.067 5% Forward subsumption (1,906 calls)
% 1.76/1.95 ; 0.024 2% Backward subsumption (1,002 calls)
% 1.76/1.95 ; 0.006 0% Clause clause subsumption (5,424 calls)
% 1.76/1.95 ; 0.125 9% Forward simplification (17,654 calls)
% 1.76/1.95 ; 0.079 5% Backward simplification (8,648 calls)
% 1.76/1.95 ; 0.001 0% Ordering (254 calls)
% 1.76/1.95 ; 0.000 0% Sortal reasoning (32 calls)
% 1.76/1.95 ; 0.000 0% Purity testing (1 call)
% 1.76/1.95 ; 0.104 7% Other
% 1.76/1.95 ; 1.454 Total
% 1.76/1.95 ; 1.483 Real time
% 1.76/1.95 ;
% 1.76/1.95 ; Term-hash-array has 13,392 terms in all.
% 1.76/1.95 ; Feature-vector-row-index has 998 entries (998 at peak, 1,002 added, 4 deleted).
% 1.76/1.95 ; Feature-vector-row-index has 787 nodes (787 at peak, 809 added, 22 deleted).
% 1.76/1.95 ; Retrieved 13,735 possibly forward subsuming rows in 1,906 calls.
% 1.76/1.95 ; Retrieved 6,114 possibly backward subsumed rows in 1,002 calls.
% 1.76/1.95 ; Path-index has 13,393 entries (13,396 at peak, 13,402 added, 9 deleted).
% 1.76/1.95 ; Path-index has 871 nodes (871 at peak, 877 added, 6 deleted).
% 1.76/1.95 ; Trie-index has 13,393 entries (13,396 at peak, 13,402 added, 9 deleted).
% 1.76/1.95 ; Trie-index has 37,615 nodes (37,619 at peak, 37,627 added, 12 deleted).
% 1.76/1.95 ; Retrieved 8,102 generalization terms in 19,530 calls.
% 1.76/1.95 ; Retrieved 7,659 instance terms in 7,645 calls.
% 1.76/1.95 ; Retrieved 989,526 unifiable terms in 3,443 calls.
% 1.76/1.95 ;
% 1.76/1.95 ; The agenda of rows to process has 11 entries:
% 1.76/1.95 ; 11 with value 8
% 1.76/1.95 ; The agenda of rows to give has 8559 entries:
% 1.76/1.95 ; 9 with value (4 7) 967 with value (4 12) 896 with value (4 17)
% 1.76/1.95 ; 12 with value (4 8) 2160 with value (4 13) 256 with value (4 18)
% 1.76/1.95 ; 52 with value (4 9) 60 with value (4 14) 2054 with value (4 19)
% 1.76/1.95 ; 158 with value (4 10) 610 with value (4 15) 496 with value (4 20)
% 1.76/1.95 ; 642 with value (4 11) 155 with value (4 16) 32 with value (4 22)
% 1.76/1.95 Evaluation took:
% 1.76/1.95 1.484 seconds of real time
% 1.76/1.95 1.365197 seconds of user run time
% 1.76/1.95 0.117892 seconds of system run time
% 1.76/1.95 [Run times include 0.205 seconds GC run time.]
% 1.76/1.95 0 calls to %EVAL
% 1.76/1.95 0 page faults and
% 1.76/1.95 88,110,000 bytes consed.
% 1.76/1.95 :PROOF-FOUND
% 1.76/1.95 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-06T22:17:55
% 1.76/1.95 :PROOF-FOUND
% 1.76/1.95 *
%------------------------------------------------------------------------------