TSTP Solution File: FLD070-4 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : FLD070-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 02:27:21 EDT 2022
% Result : Unsatisfiable 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 8
% Syntax : Number of clauses : 11 ( 8 unt; 0 nHn; 11 RR)
% Number of literals : 17 ( 0 equ; 8 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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(transitivity_of_order_relation,axiom,
( less_or_equal(X,Y)
| ~ less_or_equal(X,Z)
| ~ less_or_equal(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',transitivity_of_order_relation) ).
cnf(compatibility_of_order_relation_and_addition,axiom,
( less_or_equal(X,Y)
| ~ less_or_equal(Z,U)
| ~ sum(Z,V,X)
| ~ sum(U,V,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',compatibility_of_order_relation_and_addition) ).
cnf(a_is_defined,hypothesis,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
cnf(less_or_equal_4,negated_conjecture,
less_or_equal(additive_identity,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_4) ).
cnf(less_or_equal_5,negated_conjecture,
less_or_equal(additive_identity,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_5) ).
cnf(sum_6,negated_conjecture,
sum(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_6) ).
cnf(not_less_or_equal_7,negated_conjecture,
~ less_or_equal(additive_identity,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_7) ).
cnf(32,plain,
sum(additive_identity,a,a),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_addition,a_is_defined]) ).
cnf(100,plain,
~ less_or_equal(a,c),
inference('UR-RESOLVE',[status(thm)],[transitivity_of_order_relation,not_less_or_equal_7,less_or_equal_4]) ).
cnf(182,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[compatibility_of_order_relation_and_addition,100,less_or_equal_5,sum_6]),32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : FLD070-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n029.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 21:52:20 EDT 2022
% 0.13/0.34 % 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 2022-06-06T21:52:20
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-06T21:52:20
% 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.
% 0.20/0.53 ; Declaring product to be commutative.
% 0.20/0.53
% 0.20/0.53 #||
% 0.20/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.53 % SZS output start Refutation
% See solution above
% 0.20/0.53 ||#
% 0.20/0.53
% 0.20/0.53 ; Summary of computation:
% 0.20/0.53 ; 331 formulas have been input or derived (from 31 formulas).
% 0.20/0.53 ; 182 (55%) were retained. Of these,
% 0.20/0.53 ; 4 ( 2%) were simplified or subsumed later,
% 0.20/0.53 ; 178 (98%) are still being kept.
% 0.20/0.53 ;
% 0.20/0.53 ; Run time in seconds:
% 0.20/0.53 ; 0.006 10% Read assertion file (1 call)
% 0.20/0.53 ; 0.001 2% Assert (33 calls)
% 0.20/0.53 ; 0.009 16% Process new row (327 calls)
% 0.20/0.53 ; 0.005 9% Resolution (60 calls)
% 0.20/0.53 ; 0.000 0% Paramodulation (30 calls)
% 0.20/0.53 ; 0.002 3% Condensing (39 calls)
% 0.20/0.53 ; 0.000 0% Forward subsumption (39 calls)
% 0.20/0.53 ; 0.000 0% Backward subsumption (32 calls)
% 0.20/0.53 ; 0.001 2% Clause clause subsumption (12 calls)
% 0.20/0.53 ; 0.005 9% Forward simplification (327 calls)
% 0.20/0.53 ; 0.002 3% Backward simplification (182 calls)
% 0.20/0.53 ; 0.000 0% Ordering (30 calls)
% 0.20/0.53 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.53 ; 0.000 0% Purity testing (1 call)
% 0.20/0.53 ; 0.027 47% Other
% 0.20/0.53 ; 0.058 Total
% 0.20/0.53 ; 0.059 Real time
% 0.20/0.53 ;
% 0.20/0.53 ; Term-hash-array has 269 terms in all.
% 0.20/0.53 ; Feature-vector-row-index has 28 entries (32 at peak, 32 added, 4 deleted).
% 0.20/0.53 ; Feature-vector-row-index has 91 nodes (111 at peak, 111 added, 20 deleted).
% 0.20/0.53 ; Retrieved 14 possibly forward subsuming rows in 39 calls.
% 0.20/0.53 ; Retrieved 1 possibly backward subsumed row in 32 calls.
% 0.20/0.53 ; Path-index has 274 entries (274 at peak, 280 added, 6 deleted).
% 0.20/0.53 ; Path-index has 187 nodes (187 at peak, 193 added, 6 deleted).
% 0.20/0.53 ; Trie-index has 274 entries (274 at peak, 280 added, 6 deleted).
% 0.20/0.53 ; Trie-index has 452 nodes (452 at peak, 460 added, 8 deleted).
% 0.20/0.53 ; Retrieved 143 generalization terms in 343 calls.
% 0.20/0.53 ; Retrieved 151 instance terms in 149 calls.
% 0.20/0.53 ; Retrieved 4,562 unifiable terms in 258 calls.
% 0.20/0.53 ;
% 0.20/0.53 ; The agenda of rows to process has 1 entry:
% 0.20/0.53 ; 1 with value 7
% 0.20/0.53 ; The agenda of rows to give has 147 entries:
% 0.20/0.53 ; 9 with value (4 5) 7 with value (4 8) 2 with value (4 11)
% 0.20/0.53 ; 22 with value (4 6) 55 with value (4 9) 2 with value (4 13)
% 0.20/0.53 ; 50 with value (4 7)
% 0.20/0.53 Evaluation took:
% 0.20/0.53 0.06 seconds of real time
% 0.20/0.53 0.04899 seconds of user run time
% 0.20/0.53 0.010859 seconds of system run time
% 0.20/0.53 0 calls to %EVAL
% 0.20/0.53 0 page faults and
% 0.20/0.53 3,287,816 bytes consed.
% 0.20/0.53 :PROOF-FOUND
% 0.20/0.53 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-06T21:52:20
% 0.20/0.53 :PROOF-FOUND
% 0.20/0.53 *
%------------------------------------------------------------------------------