TSTP Solution File: FLD035-3 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : FLD035-3 : 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 02:27:06 EDT 2022
% Result : Unsatisfiable 6.54s 6.68s
% Output : Refutation 6.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of clauses : 13 ( 10 unt; 1 nHn; 13 RR)
% Number of literals : 19 ( 0 equ; 7 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 : 7 ( 7 usr; 6 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(b_is_defined,hypothesis,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_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(a,c,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_5) ).
cnf(product_6,negated_conjecture,
product(b,c,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_6) ).
cnf(not_sum_7,negated_conjecture,
~ sum(additive_identity,c,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_7) ).
cnf(not_product_8,negated_conjecture,
~ product(multiplicative_identity,a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_8) ).
cnf(39,plain,
product(multiplicative_identity,b,b),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_multiplication,b_is_defined]) ).
cnf(225,plain,
product(multiplicative_inverse(c),c,multiplicative_identity),
inference('UR-RESOLVE',[status(thm)],[existence_of_inverse_multiplication,not_sum_7,c_is_defined]) ).
cnf(33961,plain,
product(multiplicative_inverse(c),u,b),
inference('HYPERRESOLVE',[status(thm)],[associativity_multiplication_1,225,product_6,39]) ).
cnf(33962,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[associativity_multiplication_1,225,not_product_8,product_5]),33961]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : FLD035-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n028.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 : Mon Jun 6 14:58:14 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-06T14:58:14
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-06T14:58:14
% 0.20/0.49
% 0.20/0.49 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?X ?U ?V)) (NOT (|sum| ?U ?W ?Y)) (NOT (|sum| ?V ?W ?Z))).
% 0.20/0.49 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?U ?V ?X)) (NOT (|sum| ?V ?Y ?W)) (NOT (|sum| ?U ?W ?Z))).
% 0.20/0.49 ; Recognized commutativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?Y ?X ?Z))).
% 0.20/0.49 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?X ?U ?V)) (NOT (|product| ?U ?W ?Y)) (NOT (|product| ?V ?W ?Z))).
% 0.20/0.49 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?U ?V ?X)) (NOT (|product| ?V ?Y ?W)) (NOT (|product| ?U ?W ?Z))).
% 0.20/0.49 ; Recognized commutativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?Y ?X ?Z))).
% 0.20/0.49 ; Declaring sum to be commutative.
% 6.54/6.68 ; Declaring product to be commutative.
% 6.54/6.68
% 6.54/6.68 #||
% 6.54/6.68 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.54/6.68 % SZS output start Refutation
% See solution above
% 6.54/6.69 ||#
% 6.54/6.69
% 6.54/6.69 ; Summary of computation:
% 6.54/6.69 ; 69166 formulas have been input or derived (from 151 formulas).
% 6.54/6.69 ; 33962 (49%) were retained. Of these,
% 6.54/6.69 ; 12 ( 0%) were simplified or subsumed later,
% 6.54/6.69 ; 33950 (100%) are still being kept.
% 6.54/6.69 ;
% 6.54/6.69 ; Run time in seconds excluding printing time:
% 6.54/6.69 ; 0.006 0% Read assertion file (1 call)
% 6.54/6.69 ; 0.002 0% Assert (34 calls)
% 6.54/6.69 ; 2.215 36% Process new row (68,729 calls)
% 6.54/6.69 ; 2.276 37% Resolution (300 calls)
% 6.54/6.69 ; 0.002 0% Paramodulation (150 calls)
% 6.54/6.69 ; 0.016 0% Condensing (7,496 calls)
% 6.54/6.69 ; 0.297 5% Forward subsumption (7,496 calls)
% 6.54/6.69 ; 0.136 2% Backward subsumption (3,840 calls)
% 6.54/6.69 ; 0.055 1% Clause clause subsumption (31,717 calls)
% 6.54/6.69 ; 0.555 9% Forward simplification (68,729 calls)
% 6.54/6.69 ; 0.411 7% Backward simplification (33,962 calls)
% 6.54/6.69 ; 0.004 0% Ordering (2,244 calls)
% 6.54/6.69 ; 0.000 0% Sortal reasoning (32 calls)
% 6.54/6.69 ; 0.000 0% Purity testing (1 call)
% 6.54/6.69 ; 0.239 4% Other
% 6.54/6.69 ; 6.214 Total
% 6.54/6.69 ; 6.216 Real time
% 6.54/6.69 ;
% 6.54/6.69 ; Term-hash-array has 52,678 terms in all.
% 6.54/6.69 ; Feature-vector-row-index has 3,834 entries (3,838 at peak, 3,840 added, 6 deleted).
% 6.54/6.69 ; Feature-vector-row-index has 2,387 nodes (2,403 at peak, 2,415 added, 28 deleted).
% 6.54/6.69 ; Retrieved 67,687 possibly forward subsuming rows in 7,496 calls.
% 6.54/6.69 ; Retrieved 30,879 possibly backward subsumed rows in 3,840 calls.
% 6.54/6.69 ; Path-index has 52,678 entries (52,678 at peak, 52,693 added, 15 deleted).
% 6.54/6.69 ; Path-index has 1,130 nodes (1,130 at peak, 1,139 added, 9 deleted).
% 6.54/6.69 ; Trie-index has 52,678 entries (52,678 at peak, 52,693 added, 15 deleted).
% 6.54/6.69 ; Trie-index has 146,165 nodes (146,165 at peak, 146,185 added, 20 deleted).
% 6.54/6.69 ; Retrieved 31,112 generalization terms in 76,196 calls.
% 6.54/6.69 ; Retrieved 30,141 instance terms in 30,121 calls.
% 6.54/6.69 ; Retrieved 8,056,723 unifiable terms in 9,725 calls.
% 6.54/6.69 ;
% 6.54/6.69 ; The agenda of rows to process has 6 entries:
% 6.54/6.69 ; 4 with value 10 2 with value 11
% 6.54/6.69 ; The agenda of rows to give has 33801 entries:
% 6.54/6.69 ; 10 with value (4 8) 10563 with value (4 13) 648 with value (4 18)
% 6.54/6.69 ; 132 with value (4 9) 120 with value (4 14) 10373 with value (4 19)
% 6.54/6.69 ; 305 with value (4 10) 1856 with value (4 15) 2556 with value (4 20)
% 6.54/6.69 ; 1939 with value (4 11) 465 with value (4 16) 72 with value (4 22)
% 6.54/6.69 ; 2458 with value (4 12) 2304 with value (4 17)
% 6.54/6.69 Evaluation took:
% 6.54/6.69 6.218 seconds of real time
% 6.54/6.69 5.764744 seconds of user run time
% 6.54/6.69 0.453009 seconds of system run time
% 6.54/6.69 [Run times include 1.057 seconds GC run time.]
% 6.54/6.69 0 calls to %EVAL
% 6.54/6.69 0 page faults and
% 6.54/6.69 405,028,304 bytes consed.
% 6.54/6.69 :PROOF-FOUND
% 6.54/6.69 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-06T14:58:20
% 6.54/6.69 :PROOF-FOUND
% 6.54/6.69 *
%------------------------------------------------------------------------------