TSTP Solution File: FLD013-5 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : FLD013-5 : 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 02:26:59 EDT 2022
% Result : Unsatisfiable 0.20s 0.55s
% Output : Refutation 0.20s
% 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_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_7,negated_conjecture,
sum(additive_identity,a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_7) ).
cnf(sum_8,negated_conjecture,
sum(additive_identity,c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_8) ).
cnf(sum_9,negated_conjecture,
sum(a,c,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_9) ).
cnf(sum_10,negated_conjecture,
sum(d,b,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_10) ).
cnf(not_sum_11,negated_conjecture,
~ sum(additive_identity,u,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_11) ).
cnf(35,plain,
sum(additive_identity,u,u),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_addition,u_is_defined]) ).
cnf(372,plain,
~ sum(a,d,u),
inference('UR-RESOLVE',[status(thm)],[associativity_addition_1,not_sum_11,sum_7,sum_10]) ).
cnf(377,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[associativity_addition_1,35,sum_9,sum_8]),372]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : FLD013-5 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n023.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 : Tue Jun 7 00:04:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45 *
% 0.20/0.45 *
% 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 2022-06-07T00:04:09
% 0.20/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-07T00:04:09
% 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.
% 0.20/0.55 ; Declaring product to be commutative.
% 0.20/0.55
% 0.20/0.55 #||
% 0.20/0.55 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.55 % SZS output start Refutation
% See solution above
% 0.20/0.55 ||#
% 0.20/0.55
% 0.20/0.55 ; Summary of computation:
% 0.20/0.55 ; 822 formulas have been input or derived (from 44 formulas).
% 0.20/0.55 ; 377 (46%) were retained. Of these,
% 0.20/0.55 ; 377 (100%) are still being kept.
% 0.20/0.55 ;
% 0.20/0.55 ; Run time in seconds excluding printing time:
% 0.20/0.55 ; 0.007 8% Read assertion file (1 call)
% 0.20/0.55 ; 0.001 1% Assert (37 calls)
% 0.20/0.55 ; 0.016 18% Process new row (750 calls)
% 0.20/0.55 ; 0.016 18% Resolution (86 calls)
% 0.20/0.55 ; 0.000 0% Paramodulation (43 calls)
% 0.20/0.55 ; 0.004 4% Condensing (91 calls)
% 0.20/0.55 ; 0.001 1% Forward subsumption (91 calls)
% 0.20/0.55 ; 0.002 2% Backward subsumption (61 calls)
% 0.20/0.55 ; 0.000 0% Clause clause subsumption (35 calls)
% 0.20/0.55 ; 0.010 11% Forward simplification (750 calls)
% 0.20/0.55 ; 0.007 8% Backward simplification (377 calls)
% 0.20/0.55 ; 0.000 0% Ordering (88 calls)
% 0.20/0.55 ; 0.001 1% Sortal reasoning (32 calls)
% 0.20/0.55 ; 0.000 0% Purity testing (1 call)
% 0.20/0.55 ; 0.024 27% Other
% 0.20/0.55 ; 0.089 Total
% 0.20/0.55 ; 0.091 Real time
% 0.20/0.55 ;
% 0.20/0.55 ; Term-hash-array has 580 terms in all.
% 0.20/0.55 ; Feature-vector-row-index has 61 entries (61 at peak, 61 added, 0 deleted).
% 0.20/0.55 ; Feature-vector-row-index has 159 nodes (159 at peak, 159 added, 0 deleted).
% 0.20/0.55 ; Retrieved 71 possibly forward subsuming rows in 91 calls.
% 0.20/0.55 ; Retrieved 16 possibly backward subsumed rows in 61 calls.
% 0.20/0.55 ; Path-index has 588 entries (588 at peak, 588 added, 0 deleted).
% 0.20/0.55 ; Path-index has 265 nodes (265 at peak, 265 added, 0 deleted).
% 0.20/0.55 ; Trie-index has 588 entries (588 at peak, 588 added, 0 deleted).
% 0.20/0.55 ; Trie-index has 963 nodes (963 at peak, 963 added, 0 deleted).
% 0.20/0.55 ; Retrieved 342 generalization terms in 808 calls.
% 0.20/0.55 ; Retrieved 316 instance terms in 315 calls.
% 0.20/0.55 ; Retrieved 18,037 unifiable terms in 858 calls.
% 0.20/0.55 ;
% 0.20/0.55 ; The agenda of rows to process has 8 entries:
% 0.20/0.55 ; 8 with value 7
% 0.20/0.55 ; The agenda of rows to give has 333 entries:
% 0.20/0.55 ; 26 with value (4 6) 8 with value (4 8) 7 with value (4 11)
% 0.20/0.55 ; 129 with value (4 7) 156 with value (4 9) 7 with value (4 13)
% 0.20/0.55 Evaluation took:
% 0.20/0.55 0.092 seconds of real time
% 0.20/0.55 0.082567 seconds of user run time
% 0.20/0.55 0.008942 seconds of system run time
% 0.20/0.55 0 calls to %EVAL
% 0.20/0.55 0 page faults and
% 0.20/0.55 4,814,960 bytes consed.
% 0.20/0.55 :PROOF-FOUND
% 0.20/0.55 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T00:04:09
% 0.20/0.55 :PROOF-FOUND
% 0.20/0.55 *
%------------------------------------------------------------------------------