TSTP Solution File: GRP189-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP189-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n012.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 11:37:27 EDT 2022
% Result : Unsatisfiable 0.22s 0.53s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 2
% Syntax : Number of clauses : 3 ( 3 unt; 0 nHn; 2 RR)
% Number of literals : 3 ( 2 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 2 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(glb_absorbtion,axiom,
greatest_lower_bound(X,least_upper_bound(X,Y)) = X,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',glb_absorbtion) ).
cnf(prove_p38b,negated_conjecture,
greatest_lower_bound(b,least_upper_bound(a,b)) != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_p38b) ).
cnf(20,plain,
$false,
inference('REWRITE',[status(thm)],[prove_p38b,glb_absorbtion,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP189-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.14 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n012.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 : Tue Jun 14 06:12:55 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.22/0.48 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.49 *
% 0.22/0.49 *
% 0.22/0.49 #<PACKAGE "SNARK-USER">
% 0.22/0.49 *
% 0.22/0.49 SNARK-TPTP-OPTIONS
% 0.22/0.49 *
% 0.22/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.50 (USE-FACTORING :POS)
% 0.22/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.50 *
% 0.22/0.50 "."
% 0.22/0.50 *
% 0.22/0.50 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T06:12:55
% 0.22/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-06-14T06:12:55
% 0.22/0.51
% 0.22/0.51 ; Recognized left identity assertion (= (|multiply| |identity| ?X) ?X).
% 0.22/0.51 ; Recognized possible left inverse assertion (= (|multiply| (|inverse| ?X) ?X) |identity|).
% 0.22/0.51 ; Recognized associativity assertion (= (|multiply| (|multiply| ?X ?Y) ?Z) (|multiply| ?X (|multiply| ?Y ?Z))).
% 0.22/0.51 ; Recognized commutativity assertion (= (|greatest_lower_bound| ?X ?Y) (|greatest_lower_bound| ?Y ?X)).
% 0.22/0.51 ; Recognized commutativity assertion (= (|least_upper_bound| ?X ?Y) (|least_upper_bound| ?Y ?X)).
% 0.22/0.51 ; Recognized associativity assertion (= (|greatest_lower_bound| ?X (|greatest_lower_bound| ?Y ?Z)) (|greatest_lower_bound| (|greatest_lower_bound| ?X ?Y) ?Z)).
% 0.22/0.51 ; Recognized associativity assertion (= (|least_upper_bound| ?X (|least_upper_bound| ?Y ?Z)) (|least_upper_bound| (|least_upper_bound| ?X ?Y) ?Z)).
% 0.22/0.51 ; Declaring greatest_lower_bound to be commutative.
% 0.22/0.51 ; Declaring greatest_lower_bound to be associative-commutative.
% 0.22/0.51 ; Declaring least_upper_bound to be commutative.
% 0.22/0.53 ; Declaring least_upper_bound to be associative-commutative.
% 0.22/0.53
% 0.22/0.53 #||
% 0.22/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.53 % SZS output start Refutation
% See solution above
% 0.22/0.53 ||#
% 0.22/0.53
% 0.22/0.53 ; Summary of computation:
% 0.22/0.53 ; 24 formulas have been input or derived (from 1 formulas).
% 0.22/0.53 ; 20 (83%) were retained. Of these,
% 0.22/0.53 ; 1 ( 5%) were simplified or subsumed later,
% 0.22/0.53 ; 19 (95%) are still being kept.
% 0.22/0.53 ;
% 0.22/0.53 ; Run time in seconds excluding printing time:
% 0.22/0.53 ; 0.004 13% Read assertion file (1 call)
% 0.22/0.53 ; 0.001 3% Assert (19 calls)
% 0.22/0.53 ; 0.001 3% Process new row (23 calls)
% 0.22/0.53 ; 0.000 0% Embedding (8 calls)
% 0.22/0.53 ; 0.000 0% Forward simplification (19 calls)
% 0.22/0.53 ; 0.001 3% Backward simplification (15 calls)
% 0.22/0.53 ; 0.000 0% Ordering (25 calls)
% 0.22/0.53 ; 0.000 0% Sortal reasoning (32 calls)
% 0.22/0.53 ; 0.000 0% Purity testing (1 call)
% 0.22/0.53 ; 0.023 77% Other
% 0.22/0.53 ; 0.030 Total
% 0.22/0.53 ; 0.031 Real time
% 0.22/0.53 ;
% 0.22/0.53 ; Term-hash-array has 53 terms in all.
% 0.22/0.53 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.22/0.53 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.22/0.53 ; Path-index has 56 entries (56 at peak, 56 added, 0 deleted).
% 0.22/0.53 ; Path-index has 118 nodes (118 at peak, 118 added, 0 deleted).
% 0.22/0.53 ; Trie-index has 56 entries (56 at peak, 56 added, 0 deleted).
% 0.22/0.53 ; Trie-index has 86 nodes (86 at peak, 86 added, 0 deleted).
% 0.22/0.53 ; Retrieved 25 generalization terms in 49 calls.
% 0.22/0.53 ; Retrieved 16 instance terms in 16 calls.
% 0.22/0.53 ;
% 0.22/0.53 ; The agenda of input rows to give has 18 entries:
% 0.22/0.53 ; 1 with value 6 1 with value 9 1 with value 14
% 0.22/0.53 ; 5 with value 7 4 with value 10 4 with value 16
% 0.22/0.53 ; 1 with value 8 1 with value 13
% 0.22/0.53 Evaluation took:
% 0.22/0.53 0.031 seconds of real time
% 0.22/0.53 0.023548 seconds of user run time
% 0.22/0.53 0.008251 seconds of system run time
% 0.22/0.53 0 calls to %EVAL
% 0.22/0.53 0 page faults and
% 0.22/0.53 1,457,224 bytes consed.
% 0.22/0.53 :PROOF-FOUND
% 0.22/0.53 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T06:12:55
% 0.22/0.53 :PROOF-FOUND
% 0.22/0.53 *
%------------------------------------------------------------------------------