TSTP Solution File: FLD058-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : FLD058-3 : 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 02:27:15 EDT 2022
% Result : Unsatisfiable 0.18s 0.48s
% Output : Refutation 0.18s
% 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 : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(existence_of_identity_addition,axiom,
( sum(additive_identity,X,X)
| ~ defined(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).
cnf(antisymmetry_of_order_relation,axiom,
( sum(additive_identity,X,Y)
| ~ less_or_equal(X,Y)
| ~ less_or_equal(Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',antisymmetry_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/sandbox/benchmark/Axioms/FLD002-0.ax',compatibility_of_order_relation_and_addition) ).
cnf(a_is_defined,hypothesis,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
cnf(less_or_equal_3,negated_conjecture,
less_or_equal(additive_identity,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_3) ).
cnf(less_or_equal_4,negated_conjecture,
less_or_equal(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_4) ).
cnf(not_sum_5,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_5) ).
cnf(sum_6,negated_conjecture,
sum(additive_identity,b,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_6) ).
cnf(30,plain,
sum(additive_identity,a,a),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_addition,a_is_defined]) ).
cnf(80,plain,
~ less_or_equal(a,additive_identity),
inference('UR-RESOLVE',[status(thm)],[antisymmetry_of_order_relation,not_sum_5,less_or_equal_3]) ).
cnf(125,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[compatibility_of_order_relation_and_addition,80,less_or_equal_4,sum_6]),30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : FLD058-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.32 % Computer : n029.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Mon Jun 6 14:42:19 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.18/0.43 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 *
% 0.18/0.44 *
% 0.18/0.44 #<PACKAGE "SNARK-USER">
% 0.18/0.44 *
% 0.18/0.44 SNARK-TPTP-OPTIONS
% 0.18/0.44 *
% 0.18/0.44 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.44 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.44 (USE-FACTORING :POS)
% 0.18/0.44 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.44 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.44 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.44 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.44 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.44 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.44 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.44 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.44 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.44 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.44 *
% 0.18/0.44 "."
% 0.18/0.44 *
% 0.18/0.44 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-06T14:42:19
% 0.18/0.44 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-06T14:42:19
% 0.18/0.45
% 0.18/0.45 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?X ?U ?V)) (NOT (|sum| ?U ?W ?Y)) (NOT (|sum| ?V ?W ?Z))).
% 0.18/0.45 ; Recognized possible associativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?U ?V ?X)) (NOT (|sum| ?V ?Y ?W)) (NOT (|sum| ?U ?W ?Z))).
% 0.18/0.45 ; Recognized commutativity assertion (OR (|sum| ?X ?Y ?Z) (NOT (|sum| ?Y ?X ?Z))).
% 0.18/0.45 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?X ?U ?V)) (NOT (|product| ?U ?W ?Y)) (NOT (|product| ?V ?W ?Z))).
% 0.18/0.45 ; Recognized possible associativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?U ?V ?X)) (NOT (|product| ?V ?Y ?W)) (NOT (|product| ?U ?W ?Z))).
% 0.18/0.45 ; Recognized commutativity assertion (OR (|product| ?X ?Y ?Z) (NOT (|product| ?Y ?X ?Z))).
% 0.18/0.45 ; Declaring sum to be commutative.
% 0.18/0.48 ; Declaring product to be commutative.
% 0.18/0.48
% 0.18/0.48 #||
% 0.18/0.48 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48 % SZS output start Refutation
% See solution above
% 0.18/0.48 ||#
% 0.18/0.48
% 0.18/0.48 ; Summary of computation:
% 0.18/0.48 ; 237 formulas have been input or derived (from 31 formulas).
% 0.18/0.48 ; 125 (53%) were retained. Of these,
% 0.18/0.48 ; 125 (100%) are still being kept.
% 0.18/0.48 ;
% 0.18/0.48 ; Run time in seconds excluding printing time:
% 0.18/0.48 ; 0.004 12% Read assertion file (1 call)
% 0.18/0.48 ; 0.001 3% Assert (32 calls)
% 0.18/0.48 ; 0.004 12% Process new row (233 calls)
% 0.18/0.48 ; 0.002 6% Resolution (60 calls)
% 0.18/0.48 ; 0.000 0% Paramodulation (30 calls)
% 0.18/0.48 ; 0.002 6% Condensing (29 calls)
% 0.18/0.48 ; 0.001 3% Forward subsumption (29 calls)
% 0.18/0.48 ; 0.000 0% Backward subsumption (24 calls)
% 0.18/0.48 ; 0.000 0% Clause clause subsumption (10 calls)
% 0.18/0.48 ; 0.002 6% Forward simplification (233 calls)
% 0.18/0.48 ; 0.002 6% Backward simplification (125 calls)
% 0.18/0.48 ; 0.000 0% Ordering (14 calls)
% 0.18/0.48 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.48 ; 0.000 0% Purity testing (1 call)
% 0.18/0.48 ; 0.014 44% Other
% 0.18/0.48 ; 0.032 Total
% 0.18/0.48 ; 0.034 Real time
% 0.18/0.48 ;
% 0.18/0.48 ; Term-hash-array has 192 terms in all.
% 0.18/0.48 ; Feature-vector-row-index has 24 entries (24 at peak, 24 added, 0 deleted).
% 0.18/0.48 ; Feature-vector-row-index has 72 nodes (72 at peak, 72 added, 0 deleted).
% 0.18/0.48 ; Retrieved 12 possibly forward subsuming rows in 29 calls.
% 0.18/0.48 ; Retrieved 1 possibly backward subsumed row in 24 calls.
% 0.18/0.48 ; Path-index has 196 entries (196 at peak, 196 added, 0 deleted).
% 0.18/0.48 ; Path-index has 158 nodes (158 at peak, 158 added, 0 deleted).
% 0.18/0.48 ; Trie-index has 196 entries (196 at peak, 196 added, 0 deleted).
% 0.18/0.48 ; Trie-index has 323 nodes (323 at peak, 323 added, 0 deleted).
% 0.18/0.48 ; Retrieved 106 generalization terms in 239 calls.
% 0.18/0.48 ; Retrieved 103 instance terms in 100 calls.
% 0.18/0.48 ; Retrieved 3,474 unifiable terms in 278 calls.
% 0.18/0.48 ;
% 0.18/0.48 ; The agenda of rows to process has 1 entry:
% 0.18/0.48 ; 1 with value 7
% 0.18/0.48 ; The agenda of rows to give has 94 entries:
% 0.18/0.48 ; 4 with value (4 5) 5 with value (4 8) 1 with value (4 11)
% 0.18/0.48 ; 16 with value (4 6) 35 with value (4 9) 1 with value (4 13)
% 0.18/0.48 ; 32 with value (4 7)
% 0.18/0.48 Evaluation took:
% 0.18/0.48 0.034 seconds of real time
% 0.18/0.48 0.022181 seconds of user run time
% 0.18/0.48 0.011729 seconds of system run time
% 0.18/0.48 0 calls to %EVAL
% 0.18/0.48 0 page faults and
% 0.18/0.48 2,967,888 bytes consed.
% 0.18/0.48 :PROOF-FOUND
% 0.18/0.48 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-06T14:42:19
% 0.18/0.48 :PROOF-FOUND
% 0.18/0.48 *
%------------------------------------------------------------------------------