TSTP Solution File: FLD027-3 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : FLD027-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 1.52s 1.70s
% Output : Refutation 1.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of clauses : 14 ( 11 unt; 1 nHn; 14 RR)
% Number of literals : 20 ( 0 equ; 9 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 : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 8 ( 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(existence_of_inverse_multiplication,axiom,
( product(multiplicative_inverse(X),X,multiplicative_identity)
| sum(additive_identity,X,additive_identity)
| ~ defined(X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_multiplication) ).
cnf(a_is_defined,hypothesis,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
cnf(b_is_defined,hypothesis,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
cnf(not_sum_3,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_3) ).
cnf(not_sum_4,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_4) ).
cnf(product_5,negated_conjecture,
product(multiplicative_identity,multiplicative_inverse(a),multiplicative_inverse(b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_5) ).
cnf(not_product_6,negated_conjecture,
~ product(multiplicative_identity,a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_6) ).
cnf(33,plain,
product(multiplicative_identity,b,b),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_multiplication,b_is_defined]) ).
cnf(122,plain,
product(multiplicative_inverse(a),a,multiplicative_identity),
inference('UR-RESOLVE',[status(thm)],[existence_of_inverse_multiplication,not_sum_3,a_is_defined]) ).
cnf(123,plain,
product(multiplicative_inverse(b),b,multiplicative_identity),
inference('UR-RESOLVE',[status(thm)],[existence_of_inverse_multiplication,not_sum_4,b_is_defined]) ).
cnf(8730,plain,
~ product(multiplicative_inverse(a),b,multiplicative_identity),
inference('UR-RESOLVE',[status(thm)],[associativity_multiplication_1,122,not_product_6,33]) ).
cnf(8736,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[associativity_multiplication_1,123,product_5,33]),8730]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : FLD027-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n020.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 6 21:43:52 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 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 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 2022-06-06T21:43:52
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-06T21:43:52
% 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.
% 1.52/1.70 ; Declaring product to be commutative.
% 1.52/1.70
% 1.52/1.70 #||
% 1.52/1.70 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.52/1.70 % SZS output start Refutation
% See solution above
% 1.52/1.70 ||#
% 1.52/1.70
% 1.52/1.70 ; Summary of computation:
% 1.52/1.70 ; 18354 formulas have been input or derived (from 106 formulas).
% 1.52/1.70 ; 8736 (48%) were retained. Of these,
% 1.52/1.70 ; 15 ( 0%) were simplified or subsumed later,
% 1.52/1.70 ; 8721 (100%) are still being kept.
% 1.52/1.70 ;
% 1.52/1.70 ; Run time in seconds excluding printing time:
% 1.52/1.70 ; 0.007 1% Read assertion file (1 call)
% 1.52/1.70 ; 0.001 0% Assert (32 calls)
% 1.52/1.70 ; 0.457 37% Process new row (18,030 calls)
% 1.52/1.70 ; 0.346 28% Resolution (210 calls)
% 1.52/1.70 ; 0.000 0% Paramodulation (105 calls)
% 1.52/1.70 ; 0.007 1% Condensing (1,904 calls)
% 1.52/1.70 ; 0.059 5% Forward subsumption (1,904 calls)
% 1.52/1.70 ; 0.020 2% Backward subsumption (1,000 calls)
% 1.52/1.70 ; 0.008 1% Clause clause subsumption (5,412 calls)
% 1.52/1.70 ; 0.162 13% Forward simplification (18,030 calls)
% 1.52/1.70 ; 0.082 7% Backward simplification (8,736 calls)
% 1.52/1.70 ; 0.003 0% Ordering (776 calls)
% 1.52/1.70 ; 0.000 0% Sortal reasoning (32 calls)
% 1.52/1.70 ; 0.000 0% Purity testing (1 call)
% 1.52/1.70 ; 0.082 7% Other
% 1.52/1.70 ; 1.234 Total
% 1.52/1.70 ; 1.235 Real time
% 1.52/1.70 ;
% 1.52/1.70 ; Term-hash-array has 13,473 terms in all.
% 1.52/1.70 ; Feature-vector-row-index has 992 entries (998 at peak, 1,000 added, 8 deleted).
% 1.52/1.70 ; Feature-vector-row-index has 763 nodes (787 at peak, 803 added, 40 deleted).
% 1.52/1.70 ; Retrieved 13,697 possibly forward subsuming rows in 1,904 calls.
% 1.52/1.70 ; Retrieved 6,114 possibly backward subsumed rows in 1,000 calls.
% 1.52/1.70 ; Path-index has 13,470 entries (13,470 at peak, 13,489 added, 19 deleted).
% 1.52/1.70 ; Path-index has 871 nodes (871 at peak, 883 added, 12 deleted).
% 1.52/1.70 ; Trie-index has 13,470 entries (13,470 at peak, 13,489 added, 19 deleted).
% 1.52/1.70 ; Trie-index has 37,776 nodes (37,776 at peak, 37,802 added, 26 deleted).
% 1.52/1.70 ; Retrieved 8,393 generalization terms in 19,907 calls.
% 1.52/1.70 ; Retrieved 7,763 instance terms in 7,735 calls.
% 1.52/1.70 ; Retrieved 1,091,740 unifiable terms in 7,029 calls.
% 1.52/1.70 ;
% 1.52/1.70 ; The agenda of rows to process has 16 entries:
% 1.52/1.70 ; 3 with value 9 11 with value 10 2 with value 11
% 1.52/1.70 ; The agenda of rows to give has 8619 entries:
% 1.52/1.70 ; 7 with value (4 8) 2160 with value (4 13) 256 with value (4 18)
% 1.52/1.70 ; 86 with value (4 9) 60 with value (4 14) 2051 with value (4 19)
% 1.52/1.70 ; 193 with value (4 10) 610 with value (4 15) 496 with value (4 20)
% 1.52/1.70 ; 650 with value (4 11) 152 with value (4 16) 32 with value (4 22)
% 1.52/1.70 ; 970 with value (4 12) 896 with value (4 17)
% 1.52/1.70 Evaluation took:
% 1.52/1.70 1.236 seconds of real time
% 1.52/1.70 1.113869 seconds of user run time
% 1.52/1.70 0.122353 seconds of system run time
% 1.52/1.70 [Run times include 0.142 seconds GC run time.]
% 1.52/1.70 0 calls to %EVAL
% 1.52/1.70 0 page faults and
% 1.52/1.70 90,935,144 bytes consed.
% 1.52/1.70 :PROOF-FOUND
% 1.52/1.70 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-06T21:43:53
% 1.52/1.70 :PROOF-FOUND
% 1.52/1.70 *
%------------------------------------------------------------------------------