TSTP Solution File: GRP174-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP174-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 11:37:18 EDT 2022
% Result : Unsatisfiable 0.46s 0.67s
% Output : Refutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 18 ( 18 unt; 0 nHn; 7 RR)
% Number of literals : 18 ( 17 equ; 1 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; 2 con; 0-2 aty)
% Number of variables : 18 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(left_identity,axiom,
multiply(identity,X) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(left_inverse,axiom,
multiply(inverse(X),X) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(associativity,axiom,
multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(lub_absorbtion,axiom,
least_upper_bound(X,greatest_lower_bound(X,Y)) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',lub_absorbtion) ).
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(p05b_1,hypothesis,
greatest_lower_bound(identity,a) = a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p05b_1) ).
cnf(p05b_2,hypothesis,
greatest_lower_bound(identity,inverse(a)) = inverse(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p05b_2) ).
cnf(prove_p05b,negated_conjecture,
identity != a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_p05b) ).
cnf(21,plain,
least_upper_bound(identity,a) = identity,
inference('PARAMODULATE',[status(thm)],[lub_absorbtion,p05b_1,theory(equality)]) ).
cnf(69,plain,
least_upper_bound(identity,inverse(a)) = identity,
inference('PARAMODULATE',[status(thm)],[lub_absorbtion,p05b_2,theory(equality)]) ).
cnf(82,plain,
X = multiply(inverse(Y),multiply(Y,X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[associativity,left_inverse,theory(equality)]),left_identity,theory(equality)]) ).
cnf(119,plain,
multiply(X,identity) = least_upper_bound(multiply(X,identity),multiply(X,a)),
inference('PARAMODULATE',[status(thm)],[monotony_lub1,21,theory(equality)]) ).
cnf(158,plain,
X = multiply(inverse(inverse(X)),identity),
inference('PARAMODULATE',[status(thm)],[82,left_inverse,theory(equality)]) ).
cnf(159,plain,
multiply(X,Y) = multiply(inverse(inverse(X)),Y),
inference('PARAMODULATE',[status(thm)],[82,82,theory(equality)]) ).
cnf(160,plain,
X = multiply(X,identity),
inference('REWRITE',[status(thm)],[158,159,theory(equality)]) ).
cnf(166,plain,
X = least_upper_bound(X,multiply(X,a)),
inference('REWRITE',[status(thm)],[119,160,theory(equality)]) ).
cnf(207,plain,
inverse(a) = identity,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[166,left_inverse,theory(equality)]),69,theory(equality)]) ).
cnf(216,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[left_inverse,207,theory(equality)]),prove_p05b,left_identity,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP174-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.10/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 08:02:42 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T08:02:43
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-14T08:02:43
% 0.19/0.48
% 0.19/0.48 ; Recognized left identity assertion (= (|multiply| |identity| ?X) ?X).
% 0.19/0.48 ; Recognized possible left inverse assertion (= (|multiply| (|inverse| ?X) ?X) |identity|).
% 0.19/0.48 ; Recognized associativity assertion (= (|multiply| (|multiply| ?X ?Y) ?Z) (|multiply| ?X (|multiply| ?Y ?Z))).
% 0.19/0.48 ; Recognized commutativity assertion (= (|greatest_lower_bound| ?X ?Y) (|greatest_lower_bound| ?Y ?X)).
% 0.19/0.48 ; Recognized commutativity assertion (= (|least_upper_bound| ?X ?Y) (|least_upper_bound| ?Y ?X)).
% 0.19/0.48 ; Recognized associativity assertion (= (|greatest_lower_bound| ?X (|greatest_lower_bound| ?Y ?Z)) (|greatest_lower_bound| (|greatest_lower_bound| ?X ?Y) ?Z)).
% 0.19/0.48 ; Recognized associativity assertion (= (|least_upper_bound| ?X (|least_upper_bound| ?Y ?Z)) (|least_upper_bound| (|least_upper_bound| ?X ?Y) ?Z)).
% 0.19/0.48 ; Declaring greatest_lower_bound to be commutative.
% 0.19/0.48 ; Declaring greatest_lower_bound to be associative-commutative.
% 0.19/0.48 ; Declaring least_upper_bound to be commutative.
% 0.46/0.67 ; Declaring least_upper_bound to be associative-commutative.
% 0.46/0.67
% 0.46/0.67 #||
% 0.46/0.67 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.46/0.67 % SZS output start Refutation
% See solution above
% 0.46/0.68 ||#
% 0.46/0.68
% 0.46/0.68 ; Summary of computation:
% 0.46/0.68 ; 1175 formulas have been input or derived (from 36 formulas).
% 0.46/0.68 ; 216 (18%) were retained. Of these,
% 0.46/0.68 ; 52 (24%) were simplified or subsumed later,
% 0.46/0.68 ; 164 (76%) are still being kept.
% 0.46/0.68 ;
% 0.46/0.68 ; Run time in seconds excluding printing time:
% 0.46/0.68 ; 0.004 2% Read assertion file (1 call)
% 0.46/0.68 ; 0.000 0% Assert (18 calls)
% 0.46/0.68 ; 0.023 11% Process new row (1,137 calls)
% 0.46/0.68 ; 0.000 0% Resolution (70 calls)
% 0.46/0.68 ; 0.028 14% Paramodulation (35 calls)
% 0.46/0.68 ; 0.000 0% Embedding (99 calls)
% 0.46/0.68 ; 0.108 53% Forward simplification (1,040 calls)
% 0.46/0.68 ; 0.013 6% Backward simplification (121 calls)
% 0.46/0.68 ; 0.004 2% Ordering (1,009 calls)
% 0.46/0.68 ; 0.002 1% Ordering ac (310 calls)
% 0.46/0.68 ; 0.000 0% Sortal reasoning (32 calls)
% 0.46/0.68 ; 0.000 0% Purity testing (1 call)
% 0.46/0.68 ; 0.023 11% Other
% 0.46/0.68 ; 0.205 Total
% 0.46/0.68 ; 0.212 Real time
% 0.46/0.68 ;
% 0.46/0.68 ; Term-hash-array has 624 terms in all.
% 0.46/0.68 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.46/0.68 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.46/0.68 ; Path-index has 506 entries (556 at peak, 635 added, 129 deleted).
% 0.46/0.68 ; Path-index has 362 nodes (376 at peak, 411 added, 49 deleted).
% 0.46/0.68 ; Trie-index has 506 entries (556 at peak, 635 added, 129 deleted).
% 0.46/0.68 ; Trie-index has 241 nodes (251 at peak, 289 added, 48 deleted).
% 0.46/0.68 ; Retrieved 123,652 generalization terms in 10,243 calls.
% 0.46/0.68 ; Retrieved 345 instance terms in 144 calls.
% 0.46/0.68 ; Retrieved 1,904 unifiable terms in 177 calls.
% 0.46/0.68 ;
% 0.46/0.68 ; The agenda of rows to process has 1 entry:
% 0.46/0.68 ; 1 with value 14
% 0.46/0.68 ; The agenda of rows to give has 132 entries:
% 0.46/0.68 ; 1 with value (4 12) 17 with value (4 20) 4 with value (4 27)
% 0.46/0.68 ; 7 with value (4 13) 12 with value (4 21) 12 with value (4 28)
% 0.46/0.68 ; 3 with value (4 15) 16 with value (4 22) 4 with value (4 30)
% 0.46/0.68 ; 6 with value (4 16) 6 with value (4 23) 4 with value (4 31)
% 0.46/0.68 ; 6 with value (4 17) 6 with value (4 24) 4 with value (4 33)
% 0.46/0.68 ; 8 with value (4 18) 4 with value (4 25) 4 with value (4 36)
% 0.46/0.68 ; 4 with value (4 19) 4 with value (4 26)
% 0.46/0.68 Evaluation took:
% 0.46/0.68 0.212 seconds of real time
% 0.46/0.68 0.195944 seconds of user run time
% 0.46/0.68 0.016248 seconds of system run time
% 0.46/0.68 [Run times include 0.004 seconds GC run time.]
% 0.46/0.68 0 calls to %EVAL
% 0.46/0.68 0 page faults and
% 0.46/0.68 13,221,664 bytes consed.
% 0.46/0.68 :PROOF-FOUND
% 0.46/0.68 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T08:02:43
% 0.46/0.68 :PROOF-FOUND
% 0.46/0.68 *
%------------------------------------------------------------------------------