TSTP Solution File: GRP186-4 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP186-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n010.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 11:37:26 EDT 2022
% Result : Unsatisfiable 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 7 unt; 0 nHn; 3 RR)
% Number of literals : 7 ( 6 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(left_inverse,axiom,
multiply(inverse(X),X) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(monotony_lub1,axiom,
multiply(X,least_upper_bound(Y,Z)) = least_upper_bound(multiply(X,Y),multiply(X,Z)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',monotony_lub1) ).
cnf(p23x_2,hypothesis,
inverse(inverse(X)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23x_2) ).
cnf(prove_p23x,negated_conjecture,
least_upper_bound(multiply(a,b),identity) != multiply(a,least_upper_bound(inverse(a),b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_p23x) ).
cnf(20,plain,
least_upper_bound(multiply(a,b),identity) != least_upper_bound(multiply(a,inverse(a)),multiply(a,b)),
inference('REWRITE',[status(thm)],[prove_p23x,monotony_lub1,theory(equality)]) ).
cnf(21,plain,
multiply(X,inverse(X)) = identity,
inference('PARAMODULATE',[status(thm)],[left_inverse,p23x_2,theory(equality)]) ).
cnf(22,plain,
$false,
inference('REWRITE',[status(thm)],[20,21,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP186-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n010.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jun 13 10:38:40 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T10:38:40
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-06-13T10:38:40
% 0.20/0.49
% 0.20/0.49 ; Recognized left identity assertion (= (|multiply| |identity| ?X) ?X).
% 0.20/0.49 ; Recognized possible left inverse assertion (= (|multiply| (|inverse| ?X) ?X) |identity|).
% 0.20/0.49 ; Recognized associativity assertion (= (|multiply| (|multiply| ?X ?Y) ?Z) (|multiply| ?X (|multiply| ?Y ?Z))).
% 0.20/0.49 ; Recognized commutativity assertion (= (|greatest_lower_bound| ?X ?Y) (|greatest_lower_bound| ?Y ?X)).
% 0.20/0.49 ; Recognized commutativity assertion (= (|least_upper_bound| ?X ?Y) (|least_upper_bound| ?Y ?X)).
% 0.20/0.49 ; Recognized associativity assertion (= (|greatest_lower_bound| ?X (|greatest_lower_bound| ?Y ?Z)) (|greatest_lower_bound| (|greatest_lower_bound| ?X ?Y) ?Z)).
% 0.20/0.49 ; Recognized associativity assertion (= (|least_upper_bound| ?X (|least_upper_bound| ?Y ?Z)) (|least_upper_bound| (|least_upper_bound| ?X ?Y) ?Z)).
% 0.20/0.49 ; Declaring greatest_lower_bound to be commutative.
% 0.20/0.49 ; Declaring greatest_lower_bound to be associative-commutative.
% 0.20/0.49 ; Declaring least_upper_bound to be commutative.
% 0.20/0.51 ; Declaring least_upper_bound to be associative-commutative.
% 0.20/0.51
% 0.20/0.51 #||
% 0.20/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.51 % SZS output start Refutation
% See solution above
% 0.20/0.51 ||#
% 0.20/0.51
% 0.20/0.51 ; Summary of computation:
% 0.20/0.51 ; 41 formulas have been input or derived (from 9 formulas).
% 0.20/0.51 ; 22 (54%) were retained. Of these,
% 0.20/0.51 ; 2 ( 9%) were simplified or subsumed later,
% 0.20/0.51 ; 20 (91%) are still being kept.
% 0.20/0.51 ;
% 0.20/0.51 ; Run time in seconds excluding printing time:
% 0.20/0.51 ; 0.004 12% Read assertion file (1 call)
% 0.20/0.51 ; 0.000 0% Assert (19 calls)
% 0.20/0.51 ; 0.003 9% Process new row (40 calls)
% 0.20/0.51 ; 0.001 3% Resolution (16 calls)
% 0.20/0.51 ; 0.001 3% Paramodulation (8 calls)
% 0.20/0.51 ; 0.000 0% Embedding (8 calls)
% 0.20/0.51 ; 0.001 3% Forward simplification (36 calls)
% 0.20/0.51 ; 0.000 0% Backward simplification (17 calls)
% 0.20/0.51 ; 0.000 0% Ordering (67 calls)
% 0.20/0.51 ; 0.000 0% Ordering ac (10 calls)
% 0.20/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.51 ; 0.000 0% Purity testing (1 call)
% 0.20/0.51 ; 0.022 69% Other
% 0.20/0.51 ; 0.032 Total
% 0.20/0.51 ; 0.034 Real time
% 0.20/0.51 ;
% 0.20/0.51 ; Term-hash-array has 61 terms in all.
% 0.20/0.51 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.20/0.51 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.20/0.51 ; Path-index has 58 entries (64 at peak, 66 added, 8 deleted).
% 0.20/0.51 ; Path-index has 120 nodes (132 at peak, 134 added, 14 deleted).
% 0.20/0.51 ; Trie-index has 58 entries (64 at peak, 66 added, 8 deleted).
% 0.20/0.51 ; Trie-index has 91 nodes (96 at peak, 98 added, 7 deleted).
% 0.20/0.51 ; Retrieved 80 generalization terms in 93 calls.
% 0.20/0.51 ; Retrieved 20 instance terms in 18 calls.
% 0.20/0.51 ; Retrieved 71 unifiable terms in 36 calls.
% 0.20/0.51 ;
% 0.20/0.51 ; The agenda of input rows to give has 10 entries:
% 0.20/0.51 ; 4 with value 10 1 with value 14 4 with value 16
% 0.20/0.51 ; 1 with value 13
% 0.20/0.51 ; The agenda of rows to give has 1 entry:
% 0.20/0.51 ; 1 with value (4 10)
% 0.20/0.51 Evaluation took:
% 0.20/0.51 0.034 seconds of real time
% 0.20/0.51 0.028345 seconds of user run time
% 0.20/0.51 0.005279 seconds of system run time
% 0.20/0.51 0 calls to %EVAL
% 0.20/0.51 0 page faults and
% 0.20/0.51 1,866,408 bytes consed.
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T10:38:40
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 *
%------------------------------------------------------------------------------