TSTP Solution File: GRP540-1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP540-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 11:39:20 EDT 2022
% Result : Unsatisfiable 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of clauses : 26 ( 26 unt; 0 nHn; 4 RR)
% Number of literals : 26 ( 25 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 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 : 43 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(divide(X,Y),divide(divide(X,Z),Y)) = Z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(multiply,axiom,
multiply(X,Y) = divide(X,divide(divide(Z,Z),Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
cnf(inverse,axiom,
inverse(X) = divide(divide(Y,Y),X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
cnf(identity,axiom,
identity = divide(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
cnf(prove_these_axioms_4,negated_conjecture,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_4) ).
cnf(6,plain,
inverse(X) = divide(identity,X),
inference('REWRITE',[status(thm)],[inverse,identity,theory(equality)]) ).
cnf(7,plain,
multiply(X,Y) = divide(X,inverse(Y)),
inference('REWRITE',[status(thm)],[multiply,inverse,theory(equality)]) ).
cnf(8,plain,
divide(a,inverse(b)) != divide(b,inverse(a)),
inference('REWRITE',[status(thm)],[prove_these_axioms_4,7,theory(equality)]) ).
cnf(9,plain,
identity = inverse(identity),
inference('PARAMODULATE',[status(thm)],[identity,6,theory(equality)]) ).
cnf(10,plain,
divide(divide(X,Y),inverse(Y)) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[single_axiom,identity,theory(equality)]),6,theory(equality)]) ).
cnf(11,plain,
inverse(divide(divide(X,Y),X)) = Y,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[single_axiom,identity,theory(equality)]),6,theory(equality)]) ).
cnf(15,plain,
divide(divide(divide(X,Y),Z),divide(U,Z)) = divide(divide(X,U),Y),
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(17,plain,
inverse(inverse(X)) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[10,identity,theory(equality)]),6,theory(equality)]) ).
cnf(18,plain,
divide(divide(X,identity),identity) = X,
inference('PARAMODULATE',[status(thm)],[10,9,theory(equality)]) ).
cnf(24,plain,
divide(X,divide(divide(divide(X,identity),Y),identity)) = Y,
inference('PARAMODULATE',[status(thm)],[single_axiom,18,theory(equality)]) ).
cnf(25,plain,
inverse(divide(inverse(X),identity)) = X,
inference('PARAMODULATE',[status(thm)],[11,6,theory(equality)]) ).
cnf(26,plain,
inverse(X) = divide(divide(Y,X),Y),
inference('PARAMODULATE',[status(thm)],[17,11,theory(equality)]) ).
cnf(27,plain,
inverse(X) = divide(inverse(X),identity),
inference('PARAMODULATE',[status(thm)],[17,25,theory(equality)]) ).
cnf(28,plain,
X = divide(X,identity),
inference('PARAMODULATE',[status(thm)],[27,17,theory(equality)]) ).
cnf(29,plain,
divide(X,divide(X,Y)) = Y,
inference('REWRITE',[status(thm)],[24,28,theory(equality)]) ).
cnf(31,plain,
divide(divide(X,Y),divide(Z,Y)) = divide(X,Z),
inference('PARAMODULATE',[status(thm)],[single_axiom,29,theory(equality)]) ).
cnf(32,plain,
divide(divide(X,Y),Z) = divide(divide(X,Z),Y),
inference('REWRITE',[status(thm)],[15,31,theory(equality)]) ).
cnf(34,plain,
inverse(divide(X,Y)) = divide(Y,X),
inference('PARAMODULATE',[status(thm)],[26,29,theory(equality)]) ).
cnf(37,plain,
divide(inverse(X),Y) = divide(inverse(Y),X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[32,6,theory(equality)]),6,theory(equality)]) ).
cnf(46,plain,
divide(X,inverse(Y)) = divide(Y,inverse(X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[34,37,theory(equality)]),34,theory(equality)]) ).
cnf(47,plain,
$false,
inference('REWRITE',[status(thm)],[8,46,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP540-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 14 11:44:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-06-14T11:44:24
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-14T11:44:24
% 0.20/0.51
% 0.20/0.51
% 0.20/0.51 #||
% 0.20/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox/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 ; 225 formulas have been input or derived (from 21 formulas).
% 0.20/0.51 ; 47 (21%) were retained. Of these,
% 0.20/0.51 ; 20 (43%) were simplified or subsumed later,
% 0.20/0.51 ; 27 (57%) are still being kept.
% 0.20/0.51 ;
% 0.20/0.51 ; 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 ; 0.003 7% Process new row (216 calls)
% 0.20/0.52 ; 0.002 5% Resolution (40 calls)
% 0.20/0.52 ; 0.006 14% Paramodulation (20 calls)
% 0.20/0.52 ; 0.004 9% Forward simplification (196 calls)
% 0.20/0.52 ; 0.002 5% Backward simplification (47 calls)
% 0.20/0.52 ; 0.000 0% Ordering (451 calls)
% 0.20/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.52 ; 0.000 0% Purity testing (1 call)
% 0.20/0.52 ; 0.025 58% Other
% 0.20/0.52 ; 0.043 Total
% 0.20/0.52 ; 0.046 Real time
% 0.20/0.52 ;
% 0.20/0.52 ; Term-hash-array has 130 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 75 entries (82 at peak, 140 added, 65 deleted).
% 0.20/0.52 ; Path-index has 171 nodes (208 at peak, 241 added, 70 deleted).
% 0.20/0.52 ; Trie-index has 75 entries (82 at peak, 140 added, 65 deleted).
% 0.20/0.52 ; Trie-index has 237 nodes (254 at peak, 418 added, 181 deleted).
% 0.20/0.52 ; Retrieved 586 generalization terms in 779 calls.
% 0.20/0.52 ; Retrieved 144 instance terms in 53 calls.
% 0.20/0.52 ; Retrieved 355 unifiable terms in 117 calls.
% 0.20/0.52 ;
% 0.20/0.52 ; The agenda of rows to process has 7 entries:
% 0.20/0.52 ; 1 with value 19 3 with value 20 3 with value 21
% 0.20/0.52 ; The agenda of rows to give has 13 entries:
% 0.20/0.52 ; 1 with value (4 16) 3 with value (4 18) 3 with value (4 21)
% 0.20/0.52 ; 3 with value (4 17) 3 with value (4 20)
% 0.20/0.52 Evaluation took:
% 0.20/0.52 0.046 seconds of real time
% 0.20/0.52 0.04037 seconds of user run time
% 0.20/0.52 0.00601 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 3,693,680 bytes consed.
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T11:44:24
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 *
%------------------------------------------------------------------------------