TSTP Solution File: FLD013-4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : FLD013-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 02:26:59 EDT 2022
% Result : Unsatisfiable 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 10 ( 8 unt; 0 nHn; 10 RR)
% Number of literals : 14 ( 0 equ; 5 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 : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 7 ( 0 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/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_addition_1) ).
cnf(existence_of_identity_addition,axiom,
( sum(additive_identity,X,X)
| ~ defined(X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).
cnf(u_is_defined,hypothesis,
defined(u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_is_defined) ).
cnf(sum_6,negated_conjecture,
sum(additive_identity,a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_6) ).
cnf(sum_7,negated_conjecture,
sum(additive_identity,c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_7) ).
cnf(sum_8,negated_conjecture,
sum(a,c,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_8) ).
cnf(not_sum_9,negated_conjecture,
~ sum(d,b,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_9) ).
cnf(32,plain,
sum(additive_identity,u,u),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_addition,u_is_defined]) ).
cnf(298,plain,
sum(a,d,u),
inference('HYPERRESOLVE',[status(thm)],[associativity_addition_1,32,sum_8,sum_7]) ).
cnf(300,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[associativity_addition_1,32,not_sum_9,sum_6]),298]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : FLD013-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n019.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 6 19:17:10 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45 *
% 0.20/0.46 *
% 0.20/0.46 #<PACKAGE "SNARK-USER">
% 0.20/0.46 *
% 0.20/0.46 SNARK-TPTP-OPTIONS
% 0.20/0.46 *
% 0.20/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46 (USE-FACTORING :POS)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46 *
% 0.20/0.46 "."
% 0.20/0.46 *
% 0.20/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-06T19:17:10
% 0.20/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-06T19:17:10
% 0.20/0.48
% 0.20/0.48 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?X ?U ?V)) (NOT (|sum| ?U ?W ?Y)) (NOT (|sum| ?V ?W ?Z))).
% 0.20/0.48 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?U ?V ?X)) (NOT (|sum| ?V ?Y ?W)) (NOT (|sum| ?U ?W ?Z))).
% 0.20/0.48 ; Recognized commutativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?Y ?X ?Z))).
% 0.20/0.48 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?X ?U ?V)) (NOT (|product| ?U ?W ?Y)) (NOT (|product| ?V ?W ?Z))).
% 0.20/0.48 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?U ?V ?X)) (NOT (|product| ?V ?Y ?W)) (NOT (|product| ?U ?W ?Z))).
% 0.20/0.48 ; Recognized commutativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?Y ?X ?Z))).
% 0.20/0.48 ; Declaring sum to be commutative.
% 0.20/0.54 ; Declaring product to be commutative.
% 0.20/0.54
% 0.20/0.54 #||
% 0.20/0.54 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.54 % SZS output start Refutation
% See solution above
% 0.20/0.54 ||#
% 0.20/0.54
% 0.20/0.54 ; Summary of computation:
% 0.20/0.54 ; 643 formulas have been input or derived (from 40 formulas).
% 0.20/0.54 ; 300 (47%) were retained. Of these,
% 0.20/0.54 ; 300 (100%) are still being kept.
% 0.20/0.54 ;
% 0.20/0.54 ; Run time in seconds excluding printing time:
% 0.20/0.54 ; 0.007 9% Read assertion file (1 call)
% 0.20/0.54 ; 0.001 1% Assert (35 calls)
% 0.20/0.54 ; 0.015 20% Process new row (593 calls)
% 0.20/0.54 ; 0.011 14% Resolution (78 calls)
% 0.20/0.54 ; 0.000 0% Paramodulation (39 calls)
% 0.20/0.54 ; 0.003 4% Condensing (75 calls)
% 0.20/0.54 ; 0.000 0% Forward subsumption (75 calls)
% 0.20/0.54 ; 0.002 3% Backward subsumption (52 calls)
% 0.20/0.54 ; 0.000 0% Clause clause subsumption (28 calls)
% 0.20/0.54 ; 0.009 12% Forward simplification (593 calls)
% 0.20/0.54 ; 0.001 1% Backward simplification (300 calls)
% 0.20/0.54 ; 0.001 1% Ordering (70 calls)
% 0.20/0.54 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.54 ; 0.000 0% Purity testing (1 call)
% 0.20/0.54 ; 0.026 34% Other
% 0.20/0.54 ; 0.076 Total
% 0.20/0.54 ; 0.077 Real time
% 0.20/0.54 ;
% 0.20/0.54 ; Term-hash-array has 463 terms in all.
% 0.20/0.54 ; Feature-vector-row-index has 52 entries (52 at peak, 52 added, 0 deleted).
% 0.20/0.54 ; Feature-vector-row-index has 157 nodes (157 at peak, 157 added, 0 deleted).
% 0.20/0.54 ; Retrieved 41 possibly forward subsuming rows in 75 calls.
% 0.20/0.54 ; Retrieved 5 possibly backward subsumed rows in 52 calls.
% 0.20/0.54 ; Path-index has 470 entries (470 at peak, 470 added, 0 deleted).
% 0.20/0.54 ; Path-index has 239 nodes (239 at peak, 239 added, 0 deleted).
% 0.20/0.54 ; Trie-index has 470 entries (470 at peak, 470 added, 0 deleted).
% 0.20/0.54 ; Trie-index has 772 nodes (772 at peak, 772 added, 0 deleted).
% 0.20/0.54 ; Retrieved 269 generalization terms in 635 calls.
% 0.20/0.54 ; Retrieved 248 instance terms in 247 calls.
% 0.20/0.54 ; Retrieved 12,265 unifiable terms in 608 calls.
% 0.20/0.54 ;
% 0.20/0.54 ; The agenda of rows to process has 1 entry:
% 0.20/0.54 ; 1 with value 7
% 0.20/0.54 ; The agenda of rows to give has 260 entries:
% 0.20/0.54 ; 22 with value (4 6) 7 with value (4 8) 6 with value (4 11)
% 0.20/0.54 ; 100 with value (4 7) 119 with value (4 9) 6 with value (4 13)
% 0.20/0.54 Evaluation took:
% 0.20/0.54 0.078 seconds of real time
% 0.20/0.54 0.069832 seconds of user run time
% 0.20/0.54 0.007761 seconds of system run time
% 0.20/0.54 0 calls to %EVAL
% 0.20/0.54 0 page faults and
% 0.20/0.54 4,180,168 bytes consed.
% 0.20/0.54 :PROOF-FOUND
% 0.20/0.54 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-06T19:17:10
% 0.20/0.54 :PROOF-FOUND
% 0.20/0.54 *
%------------------------------------------------------------------------------