TSTP Solution File: GRP162-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP162-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n005.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 11:37:11 EDT 2022
% Result : Unsatisfiable 0.11s 0.42s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 6 ( 6 unt; 0 nHn; 4 RR)
% Number of literals : 6 ( 5 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 2 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(ax_transa_1,hypothesis,
least_upper_bound(a,b) = b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_transa_1) ).
cnf(17,plain,
least_upper_bound(a,least_upper_bound(b,X)) = least_upper_bound(b,X),
inference('EMBED',[status(thm)],[ax_transa_1]) ).
cnf(ax_transa_2,hypothesis,
least_upper_bound(b,c) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_transa_2) ).
cnf(19,plain,
least_upper_bound(b,least_upper_bound(c,X)) = least_upper_bound(c,X),
inference('EMBED',[status(thm)],[ax_transa_2]) ).
cnf(prove_ax_transa,negated_conjecture,
least_upper_bound(a,c) != c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ax_transa) ).
cnf(21,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[17,19,theory(equality)]),prove_ax_transa,ax_transa_2,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : GRP162-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.00/0.07 % Command : run-snark %s %d
% 0.07/0.26 % Computer : n005.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 600
% 0.07/0.26 % DateTime : Mon Jun 13 05:08:54 EDT 2022
% 0.07/0.26 % CPUTime :
% 0.11/0.37 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.38 *
% 0.11/0.38 *
% 0.11/0.39 #<PACKAGE "SNARK-USER">
% 0.11/0.39 *
% 0.11/0.39 SNARK-TPTP-OPTIONS
% 0.11/0.39 *
% 0.11/0.39 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.11/0.39 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.11/0.39 (USE-FACTORING :POS)
% 0.11/0.39 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.11/0.39 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.11/0.39 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.11/0.39 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.11/0.39 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.11/0.39 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.11/0.39 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.11/0.39 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.11/0.39 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.11/0.39 (DECLARE-TPTP-SYMBOLS2))
% 0.11/0.39 *
% 0.11/0.39 "."
% 0.11/0.39 *
% 0.11/0.39 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T05:08:54
% 0.11/0.39 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-06-13T05:08:54
% 0.11/0.41
% 0.11/0.41 ; Recognized left identity assertion (= (|multiply| |identity| ?X) ?X).
% 0.11/0.41 ; Recognized possible left inverse assertion (= (|multiply| (|inverse| ?X) ?X) |identity|).
% 0.11/0.41 ; Recognized associativity assertion (= (|multiply| (|multiply| ?X ?Y) ?Z) (|multiply| ?X (|multiply| ?Y ?Z))).
% 0.11/0.41 ; Recognized commutativity assertion (= (|greatest_lower_bound| ?X ?Y) (|greatest_lower_bound| ?Y ?X)).
% 0.11/0.41 ; Recognized commutativity assertion (= (|least_upper_bound| ?X ?Y) (|least_upper_bound| ?Y ?X)).
% 0.11/0.41 ; Recognized associativity assertion (= (|greatest_lower_bound| ?X (|greatest_lower_bound| ?Y ?Z)) (|greatest_lower_bound| (|greatest_lower_bound| ?X ?Y) ?Z)).
% 0.11/0.41 ; Recognized associativity assertion (= (|least_upper_bound| ?X (|least_upper_bound| ?Y ?Z)) (|least_upper_bound| (|least_upper_bound| ?X ?Y) ?Z)).
% 0.11/0.41 ; Declaring greatest_lower_bound to be commutative.
% 0.11/0.41 ; Declaring greatest_lower_bound to be associative-commutative.
% 0.11/0.41 ; Declaring least_upper_bound to be commutative.
% 0.11/0.42 ; Declaring least_upper_bound to be associative-commutative.
% 0.11/0.42
% 0.11/0.42 #||
% 0.11/0.42 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.42 % SZS output start Refutation
% See solution above
% 0.11/0.42 ||#
% 0.11/0.42
% 0.11/0.42 ; Summary of computation:
% 0.11/0.42 ; 50 formulas have been input or derived (from 10 formulas).
% 0.11/0.42 ; 21 (42%) were retained. Of these,
% 0.11/0.42 ; 21 (100%) are still being kept.
% 0.11/0.42 ;
% 0.11/0.42 ; Run time in seconds:
% 0.11/0.42 ; 0.004 12% Read assertion file (1 call)
% 0.11/0.42 ; 0.001 3% Assert (18 calls)
% 0.11/0.42 ; 0.001 3% Process new row (45 calls)
% 0.11/0.42 ; 0.000 0% Resolution (18 calls)
% 0.11/0.42 ; 0.004 12% Paramodulation (9 calls)
% 0.11/0.42 ; 0.000 0% Embedding (10 calls)
% 0.11/0.43 ; 0.001 3% Forward simplification (39 calls)
% 0.11/0.43 ; 0.000 0% Backward simplification (15 calls)
% 0.11/0.43 ; 0.001 3% Ordering (88 calls)
% 0.11/0.43 ; 0.000 0% Ordering ac (32 calls)
% 0.11/0.43 ; 0.000 0% Sortal reasoning (32 calls)
% 0.11/0.43 ; 0.000 0% Purity testing (1 call)
% 0.11/0.43 ; 0.020 62% Other
% 0.11/0.43 ; 0.032 Total
% 0.11/0.43 ; 0.033 Real time
% 0.11/0.43 ;
% 0.11/0.43 ; Term-hash-array has 57 terms in all.
% 0.11/0.43 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.11/0.43 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.11/0.43 ; Path-index has 61 entries (61 at peak, 61 added, 0 deleted).
% 0.11/0.43 ; Path-index has 106 nodes (106 at peak, 106 added, 0 deleted).
% 0.11/0.43 ; Trie-index has 61 entries (61 at peak, 61 added, 0 deleted).
% 0.11/0.43 ; Trie-index has 67 nodes (67 at peak, 67 added, 0 deleted).
% 0.11/0.43 ; Retrieved 181 generalization terms in 107 calls.
% 0.11/0.43 ; Retrieved 16 instance terms in 16 calls.
% 0.11/0.43 ; Retrieved 127 unifiable terms in 41 calls.
% 0.11/0.43 ;
% 0.11/0.43 ; The agenda of rows to process has 5 entries:
% 0.11/0.43 ; 1 with value 12 2 with value 16 1 with value 18
% 0.11/0.43 ; 1 with value 14
% 0.11/0.43 ; The agenda of input rows to give has 11 entries:
% 0.11/0.43 ; 1 with value 7 4 with value 10 4 with value 16
% 0.11/0.43 ; 1 with value 9 1 with value 14
% 0.11/0.43 Evaluation took:
% 0.11/0.43 0.034 seconds of real time
% 0.11/0.43 0.02657 seconds of user run time
% 0.11/0.43 0.007042 seconds of system run time
% 0.11/0.43 0 calls to %EVAL
% 0.11/0.43 0 page faults and
% 0.11/0.43 1,760,584 bytes consed.
% 0.11/0.43 :PROOF-FOUND
% 0.11/0.43 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T05:08:54
% 0.11/0.43 :PROOF-FOUND
% 0.11/0.43 *
%------------------------------------------------------------------------------