TSTP Solution File: GRP580-1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP580-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 11:39:31 EDT 2022
% Result : Unsatisfiable 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of clauses : 27 ( 27 unt; 0 nHn; 7 RR)
% Number of literals : 27 ( 26 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 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 : 30 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),double_divide(Y,identity))),double_divide(identity,identity)) = Z,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(multiply,axiom,
multiply(X,Y) = double_divide(double_divide(Y,X),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
cnf(inverse,axiom,
inverse(X) = double_divide(X,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
cnf(identity,axiom,
identity = double_divide(X,inverse(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
cnf(prove_these_axioms_4,negated_conjecture,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_4) ).
cnf(6,plain,
multiply(X,Y) = inverse(double_divide(Y,X)),
inference('REWRITE',[status(thm)],[multiply,inverse,theory(equality)]) ).
cnf(7,plain,
inverse(double_divide(b,a)) != inverse(double_divide(a,b)),
inference('REWRITE',[status(thm)],[prove_these_axioms_4,6,theory(equality)]) ).
cnf(8,plain,
double_divide(double_divide(X,double_divide(double_divide(double_divide(Y,X),Z),inverse(Y))),inverse(identity)) = Z,
inference('REWRITE',[status(thm)],[single_axiom,inverse,theory(equality)]) ).
cnf(9,plain,
double_divide(double_divide(inverse(X),double_divide(double_divide(identity,Y),inverse(X))),inverse(identity)) = Y,
inference('PARAMODULATE',[status(thm)],[8,identity,theory(equality)]) ).
cnf(10,plain,
double_divide(double_divide(X,double_divide(identity,inverse(Y))),inverse(identity)) = inverse(double_divide(Y,X)),
inference('PARAMODULATE',[status(thm)],[8,identity,theory(equality)]) ).
cnf(16,plain,
double_divide(inverse(inverse(double_divide(identity,X))),inverse(identity)) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[9,identity,theory(equality)]),inverse,theory(equality)]) ).
cnf(17,plain,
double_divide(double_divide(inverse(X),double_divide(inverse(identity),inverse(X))),inverse(identity)) = identity,
inference('PARAMODULATE',[status(thm)],[9,inverse,theory(equality)]) ).
cnf(22,plain,
double_divide(inverse(inverse(inverse(identity))),inverse(identity)) = identity,
inference('PARAMODULATE',[status(thm)],[16,inverse,theory(equality)]) ).
cnf(26,plain,
double_divide(inverse(X),inverse(identity)) = inverse(double_divide(identity,X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[10,identity,theory(equality)]),inverse,theory(equality)]) ).
cnf(27,plain,
inverse(double_divide(identity,inverse(double_divide(identity,X)))) = X,
inference('REWRITE',[status(thm)],[16,26,theory(equality)]) ).
cnf(28,plain,
inverse(double_divide(identity,inverse(inverse(identity)))) = identity,
inference('REWRITE',[status(thm)],[22,26,theory(equality)]) ).
cnf(29,plain,
double_divide(double_divide(inverse(identity),inverse(inverse(X))),inverse(identity)) = double_divide(identity,inverse(X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[9,10,theory(equality)]),inverse,theory(equality)]) ).
cnf(43,plain,
double_divide(double_divide(X,double_divide(inverse(identity),X)),inverse(identity)) = identity,
inference('PARAMODULATE',[status(thm)],[17,27,theory(equality)]) ).
cnf(45,plain,
inverse(double_divide(identity,X)) = double_divide(inverse(identity),double_divide(identity,X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,43,theory(equality)]),26,inverse,theory(equality)]) ).
cnf(47,plain,
inverse(identity) = inverse(inverse(identity)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[45,identity,theory(equality)]),inverse,theory(equality)]) ).
cnf(49,plain,
inverse(identity) = identity,
inference('REWRITE',[status(thm)],[28,identity,47,theory(equality)]) ).
cnf(51,plain,
inverse(double_divide(X,double_divide(identity,inverse(Y)))) = inverse(double_divide(Y,X)),
inference('REWRITE',[status(thm)],[10,inverse,49,theory(equality)]) ).
cnf(62,plain,
inverse(inverse(X)) = inverse(double_divide(identity,X)),
inference('REWRITE',[status(thm)],[26,inverse,49,theory(equality)]) ).
cnf(65,plain,
inverse(inverse(inverse(inverse(X)))) = X,
inference('REWRITE',[status(thm)],[27,62,theory(equality)]) ).
cnf(68,plain,
X = double_divide(identity,inverse(X)),
inference('REWRITE',[status(thm)],[29,65,62,inverse,49,theory(equality)]) ).
cnf(70,plain,
inverse(double_divide(X,Y)) = inverse(double_divide(Y,X)),
inference('REWRITE',[status(thm)],[51,68,theory(equality)]) ).
cnf(71,plain,
$false,
inference('REWRITE',[status(thm)],[7,70,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP580-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.13/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n020.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 20:14:35 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T20:14:35
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-13T20:14:35
% 0.20/0.48
% 0.20/0.51 ; Recognized possible right inverse assertion (= |identity| (|double_divide| ?X (|inverse| ?X))).
% 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
% 0.20/0.52 ||#
% 0.20/0.52
% 0.20/0.52 ; Summary of computation:
% 0.20/0.52 ; 136 formulas have been input or derived (from 18 formulas).
% 0.20/0.52 ; 71 (52%) were retained. Of these,
% 0.20/0.52 ; 53 (75%) were simplified or subsumed later,
% 0.20/0.52 ; 18 (25%) are still being kept.
% 0.20/0.52 ;
% 0.20/0.52 ; Run time in seconds excluding printing time:
% 0.20/0.52 ; 0.001 2% Read assertion file (1 call)
% 0.20/0.52 ; 0.000 0% Assert (5 calls)
% 0.20/0.52 ; 0.006 13% Process new row (114 calls)
% 0.20/0.52 ; 0.001 2% Resolution (34 calls)
% 0.20/0.52 ; 0.003 7% Paramodulation (17 calls)
% 0.20/0.52 ; 0.007 15% Forward simplification (110 calls)
% 0.20/0.52 ; 0.006 13% Backward simplification (71 calls)
% 0.20/0.52 ; 0.001 2% Ordering (262 calls)
% 0.20/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.52 ; 0.001 2% Purity testing (1 call)
% 0.20/0.52 ; 0.020 43% Other
% 0.20/0.52 ; 0.046 Total
% 0.20/0.52 ; 0.049 Real time
% 0.20/0.52 ;
% 0.20/0.52 ; Term-hash-array has 253 terms in all.
% 0.20/0.52 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.20/0.52 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.20/0.52 ; Path-index has 67 entries (183 at peak, 304 added, 237 deleted).
% 0.20/0.52 ; Path-index has 567 nodes (648 at peak, 924 added, 357 deleted).
% 0.20/0.52 ; Trie-index has 67 entries (183 at peak, 304 added, 237 deleted).
% 0.20/0.52 ; Trie-index has 308 nodes (964 at peak, 1,539 added, 1,231 deleted).
% 0.20/0.52 ; Retrieved 209 generalization terms in 627 calls.
% 0.20/0.52 ; Retrieved 113 instance terms in 75 calls.
% 0.20/0.52 ; Retrieved 235 unifiable terms in 132 calls.
% 0.20/0.52 ;
% 0.20/0.52 ; The agenda of backward simplifiable rows to process has 17 entries:
% 0.20/0.52 ; 17 with value 0
% 0.20/0.52 ; The agenda of rows to process has 5 entries:
% 0.20/0.52 ; 2 with value 17 1 with value 24 1 with value 31
% 0.20/0.52 ; 1 with value 23
% 0.20/0.52 ; The agenda of input rows to give has 1 entry:
% 0.20/0.52 ; 1 with value 19
% 0.20/0.52 ; The agenda of rows to give has 13 entries:
% 0.20/0.52 ; 1 with value (4 9) 1 with value (4 14) 1 with value (4 21)
% 0.20/0.52 ; 1 with value (4 11) 1 with value (4 15) 2 with value (4 23)
% 0.20/0.52 ; 1 with value (4 12) 1 with value (4 17) 1 with value (4 28)
% 0.20/0.52 ; 2 with value (4 13) 1 with value (4 19)
% 0.20/0.52 Evaluation took:
% 0.20/0.52 0.05 seconds of real time
% 0.20/0.52 0.043829 seconds of user run time
% 0.20/0.52 0.006141 seconds of system run time
% 0.20/0.52 0 calls to %EVAL
% 0.20/0.52 0 page faults and
% 0.20/0.52 4,475,568 bytes consed.
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T20:14:35
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 *
%------------------------------------------------------------------------------