TSTP Solution File: FLD025-5 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : FLD025-5 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 0.43s 0.58s
% Output : Refutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 8
% Syntax : Number of clauses : 11 ( 9 unt; 0 nHn; 11 RR)
% Number of literals : 15 ( 0 equ; 6 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 7 ( 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/sandbox/benchmark/Axioms/FLD002-0.ax',associativity_multiplication_1) ).
cnf(existence_of_identity_multiplication,axiom,
( product(multiplicative_identity,X,X)
| ~ defined(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_identity_multiplication) ).
cnf(u_is_defined,hypothesis,
defined(u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_is_defined) ).
cnf(product_7,negated_conjecture,
product(multiplicative_identity,a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_7) ).
cnf(product_8,negated_conjecture,
product(multiplicative_identity,c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_8) ).
cnf(product_9,negated_conjecture,
product(a,c,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_9) ).
cnf(product_10,negated_conjecture,
product(d,b,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_10) ).
cnf(not_product_11,negated_conjecture,
~ product(multiplicative_identity,u,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_product_11) ).
cnf(43,plain,
product(multiplicative_identity,u,u),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_multiplication,u_is_defined]) ).
cnf(372,plain,
~ product(a,d,u),
inference('UR-RESOLVE',[status(thm)],[associativity_multiplication_1,not_product_11,product_7,product_10]) ).
cnf(380,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[associativity_multiplication_1,43,product_9,product_8]),372]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : FLD025-5 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 6 12:36:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-06T12:36:35
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-06T12:36:35
% 0.21/0.50
% 0.21/0.50 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?X ?U ?V)) (NOT (|sum| ?U ?W ?Y)) (NOT (|sum| ?V ?W ?Z))).
% 0.21/0.50 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?U ?V ?X)) (NOT (|sum| ?V ?Y ?W)) (NOT (|sum| ?U ?W ?Z))).
% 0.21/0.50 ; Recognized commutativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?Y ?X ?Z))).
% 0.21/0.50 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?X ?U ?V)) (NOT (|product| ?U ?W ?Y)) (NOT (|product| ?V ?W ?Z))).
% 0.21/0.50 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?U ?V ?X)) (NOT (|product| ?V ?Y ?W)) (NOT (|product| ?U ?W ?Z))).
% 0.21/0.50 ; Recognized commutativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?Y ?X ?Z))).
% 0.21/0.50 ; Declaring sum to be commutative.
% 0.43/0.58 ; Declaring product to be commutative.
% 0.43/0.58
% 0.43/0.58 #||
% 0.43/0.58 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.43/0.58 % SZS output start Refutation
% See solution above
% 0.43/0.59 ||#
% 0.43/0.59
% 0.43/0.59 ; Summary of computation:
% 0.43/0.59 ; 934 formulas have been input or derived (from 52 formulas).
% 0.43/0.59 ; 380 (41%) were retained. Of these,
% 0.43/0.59 ; 2 ( 1%) were simplified or subsumed later,
% 0.43/0.59 ; 378 (99%) are still being kept.
% 0.43/0.59 ;
% 0.43/0.59 ; Run time in seconds excluding printing time:
% 0.43/0.59 ; 0.007 7% Read assertion file (1 call)
% 0.43/0.59 ; 0.002 2% Assert (37 calls)
% 0.43/0.59 ; 0.025 24% Process new row (783 calls)
% 0.43/0.59 ; 0.026 25% Resolution (102 calls)
% 0.43/0.59 ; 0.000 0% Paramodulation (51 calls)
% 0.43/0.59 ; 0.003 3% Condensing (91 calls)
% 0.43/0.59 ; 0.002 2% Forward subsumption (91 calls)
% 0.43/0.59 ; 0.000 0% Backward subsumption (61 calls)
% 0.43/0.59 ; 0.001 1% Clause clause subsumption (35 calls)
% 0.43/0.59 ; 0.007 7% Forward simplification (783 calls)
% 0.43/0.59 ; 0.001 1% Backward simplification (380 calls)
% 0.43/0.59 ; 0.000 0% Ordering (88 calls)
% 0.43/0.59 ; 0.000 0% Sortal reasoning (32 calls)
% 0.43/0.59 ; 0.000 0% Purity testing (1 call)
% 0.43/0.59 ; 0.030 29% Other
% 0.43/0.59 ; 0.104 Total
% 0.43/0.59 ; 0.105 Real time
% 0.43/0.59 ;
% 0.43/0.59 ; Term-hash-array has 580 terms in all.
% 0.43/0.59 ; Feature-vector-row-index has 59 entries (61 at peak, 61 added, 2 deleted).
% 0.43/0.59 ; Feature-vector-row-index has 159 nodes (159 at peak, 159 added, 0 deleted).
% 0.43/0.59 ; Retrieved 71 possibly forward subsuming rows in 91 calls.
% 0.43/0.59 ; Retrieved 16 possibly backward subsumed rows in 61 calls.
% 0.43/0.59 ; Path-index has 588 entries (588 at peak, 591 added, 3 deleted).
% 0.43/0.59 ; Path-index has 265 nodes (265 at peak, 268 added, 3 deleted).
% 0.43/0.59 ; Trie-index has 588 entries (588 at peak, 591 added, 3 deleted).
% 0.43/0.59 ; Trie-index has 963 nodes (963 at peak, 967 added, 4 deleted).
% 0.43/0.59 ; Retrieved 372 generalization terms in 841 calls.
% 0.43/0.59 ; Retrieved 319 instance terms in 318 calls.
% 0.43/0.59 ; Retrieved 29,534 unifiable terms in 1,800 calls.
% 0.43/0.59 ;
% 0.43/0.59 ; The agenda of rows to process has 8 entries:
% 0.43/0.59 ; 8 with value 7
% 0.43/0.59 ; The agenda of rows to give has 326 entries:
% 0.43/0.59 ; 19 with value (4 6) 9 with value (4 8) 6 with value (4 11)
% 0.43/0.59 ; 130 with value (4 7) 156 with value (4 9) 6 with value (4 13)
% 0.43/0.59 Evaluation took:
% 0.43/0.59 0.106 seconds of real time
% 0.43/0.59 0.086586 seconds of user run time
% 0.43/0.59 0.018982 seconds of system run time
% 0.43/0.59 0 calls to %EVAL
% 0.43/0.59 0 page faults and
% 0.43/0.59 5,249,008 bytes consed.
% 0.43/0.59 :PROOF-FOUND
% 0.43/0.59 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-06T12:36:35
% 0.43/0.59 :PROOF-FOUND
% 0.43/0.59 *
%------------------------------------------------------------------------------