TSTP Solution File: FLD059-1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : FLD059-1 : 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 02:27:16 EDT 2022
% Result : Unsatisfiable 16.84s 17.06s
% Output : Refutation 16.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of clauses : 11 ( 7 unt; 0 nHn; 11 RR)
% Number of literals : 18 ( 0 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(existence_of_identity_addition,axiom,
( equalish(add(additive_identity,X),X)
| ~ defined(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.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/sandbox/benchmark/Axioms/FLD001-0.ax',transitivity_of_order_relation) ).
cnf(compatibility_of_order_relation_and_addition,axiom,
( less_or_equal(add(X,Y),add(Z,Y))
| ~ defined(Y)
| ~ less_or_equal(X,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',compatibility_of_order_relation_and_addition) ).
cnf(compatibility_of_equality_and_order_relation,axiom,
( less_or_equal(X,Y)
| ~ less_or_equal(Z,Y)
| ~ equalish(X,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',compatibility_of_equality_and_order_relation) ).
cnf(a_is_defined,hypothesis,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
cnf(less_or_equal_2,negated_conjecture,
less_or_equal(additive_identity,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_2) ).
cnf(not_less_or_equal_3,negated_conjecture,
~ less_or_equal(additive_identity,add(a,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_less_or_equal_3) ).
cnf(36,plain,
equalish(add(additive_identity,a),a),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_addition,a_is_defined]) ).
cnf(65,plain,
~ less_or_equal(a,add(a,a)),
inference('UR-RESOLVE',[status(thm)],[transitivity_of_order_relation,not_less_or_equal_3,less_or_equal_2]) ).
cnf(86,plain,
less_or_equal(add(additive_identity,a),add(a,a)),
inference('HYPERRESOLVE',[status(thm)],[compatibility_of_order_relation_and_addition,a_is_defined,less_or_equal_2]) ).
cnf(49830,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[compatibility_of_equality_and_order_relation,65,36]),86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : FLD059-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.08/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n028.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jun 6 15:48:29 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.49 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.50 *
% 0.20/0.50 *
% 0.20/0.50 #<PACKAGE "SNARK-USER">
% 0.20/0.50 *
% 0.20/0.50 SNARK-TPTP-OPTIONS
% 0.20/0.50 *
% 0.20/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.50 (USE-FACTORING :POS)
% 0.20/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.50 *
% 0.20/0.50 "."
% 0.20/0.50 *
% 0.20/0.50 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-06T15:48:29
% 0.20/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-06T15:48:29
% 0.34/0.52
% 0.34/0.52 ; Recognized commutativity assertion (OR (|equalish| ?X ?Y) (NOT (|equalish| ?Y ?X))).
% 16.84/17.06 ; Declaring equalish to be commutative.
% 16.84/17.06
% 16.84/17.06 #||
% 16.84/17.06 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.84/17.06 % SZS output start Refutation
% See solution above
% 16.84/17.06 ||#
% 16.84/17.06
% 16.84/17.06 ; Summary of computation:
% 16.84/17.06 ; 107451 formulas have been input or derived (from 65 formulas).
% 16.84/17.06 ; 49830 (46%) were retained. Of these,
% 16.84/17.06 ; 14 ( 0%) were simplified or subsumed later,
% 16.84/17.06 ; 49816 (100%) are still being kept.
% 16.84/17.06 ;
% 16.84/17.06 ; Run time in seconds excluding printing time:
% 16.84/17.06 ; 0.007 0% Read assertion file (1 call)
% 16.84/17.06 ; 0.001 0% Assert (30 calls)
% 16.84/17.06 ; 7.976 48% Process new row (107,360 calls)
% 16.84/17.06 ; 3.385 20% Resolution (128 calls)
% 16.84/17.06 ; 0.006 0% Paramodulation (64 calls)
% 16.84/17.06 ; 0.003 0% Condensing (645 calls)
% 16.84/17.06 ; 0.022 0% Forward subsumption (645 calls)
% 16.84/17.06 ; 0.004 0% Backward subsumption (355 calls)
% 16.84/17.06 ; 0.001 0% Clause clause subsumption (1,306 calls)
% 16.84/17.06 ; 1.177 7% Forward simplification (107,360 calls)
% 16.84/17.06 ; 3.570 22% Backward simplification (49,830 calls)
% 16.84/17.06 ; 0.002 0% Ordering (615 calls)
% 16.84/17.06 ; 0.000 0% Sortal reasoning (32 calls)
% 16.84/17.06 ; 0.000 0% Purity testing (1 call)
% 16.84/17.06 ; 0.399 2% Other
% 16.84/17.06 ; 16.553 Total
% 16.84/17.06 ; 16.555 Real time
% 16.84/17.06 ;
% 16.84/17.06 ; Term-hash-array has 144,089 terms in all.
% 16.84/17.06 ; Feature-vector-row-index has 341 entries (355 at peak, 355 added, 14 deleted).
% 16.84/17.06 ; Feature-vector-row-index has 721 nodes (734 at peak, 734 added, 13 deleted).
% 16.84/17.06 ; Retrieved 1,284 possibly forward subsuming rows in 645 calls.
% 16.84/17.06 ; Retrieved 491 possibly backward subsumed rows in 355 calls.
% 16.84/17.06 ; Path-index has 144,084 entries (144,084 at peak, 144,102 added, 18 deleted).
% 16.84/17.06 ; Path-index has 1,403 nodes (1,403 at peak, 1,403 added, 0 deleted).
% 16.84/17.06 ; Trie-index has 144,084 entries (144,084 at peak, 144,102 added, 18 deleted).
% 16.84/17.06 ; Trie-index has 757,140 nodes (757,140 at peak, 757,168 added, 28 deleted).
% 16.84/17.06 ; Retrieved 57,246 generalization terms in 108,932 calls.
% 16.84/17.06 ; Retrieved 50,618 instance terms in 49,474 calls.
% 16.84/17.06 ; Retrieved 5,210,516 unifiable terms in 8,186 calls.
% 16.84/17.06 ;
% 16.84/17.06 ; The agenda of rows to process has 1 entry:
% 16.84/17.06 ; 1 with value 11
% 16.84/17.06 ; The agenda of rows to give has 49751 entries:
% 16.84/17.06 ; 1 with value (4 8) 41 with value (4 17) 8154 with value (4 25)
% 16.84/17.06 ; 31 with value (4 9) 432 with value (4 18) 496 with value (4 26)
% 16.84/17.06 ; 88 with value (4 10) 216 with value (4 19) 9180 with value (4 27)
% 16.84/17.06 ; 285 with value (4 11) 494 with value (4 20) 576 with value (4 28)
% 16.84/17.06 ; 296 with value (4 12) 1332 with value (4 21) 13896 with value (4 29)
% 16.84/17.06 ; 648 with value (4 13) 36 with value (4 22) 1296 with value (4 30)
% 16.84/17.06 ; 153 with value (4 14) 3106 with value (4 23) 2592 with value (4 31)
% 16.84/17.06 ; 58 with value (4 15) 96 with value (4 24) 5832 with value (4 33)
% 16.84/17.06 ; 416 with value (4 16)
% 16.84/17.06 Evaluation took:
% 16.84/17.06 16.56 seconds of real time
% 16.84/17.06 15.472724 seconds of user run time
% 16.84/17.06 1.086885 seconds of system run time
% 16.84/17.06 [Run times include 4.225 seconds GC run time.]
% 16.84/17.06 0 calls to %EVAL
% 16.84/17.06 0 page faults and
% 16.84/17.06 808,968,928 bytes consed.
% 16.84/17.06 :PROOF-FOUND
% 16.84/17.06 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-06T15:48:45
% 16.84/17.06 :PROOF-FOUND
% 16.84/17.06 *
%------------------------------------------------------------------------------