TSTP Solution File: GRP564-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP564-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n022.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 11:39:26 EDT 2022
% Result : Unsatisfiable 0.37s 0.54s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of clauses : 16 ( 16 unt; 0 nHn; 3 RR)
% Number of literals : 16 ( 15 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 29 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(divide(divide(X,inverse(Y)),Z),divide(X,Z)) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(multiply,axiom,
multiply(X,Y) = divide(X,inverse(Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
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(4,plain,
divide(a,inverse(b)) != divide(b,inverse(a)),
inference('REWRITE',[status(thm)],[prove_these_axioms_4,multiply,theory(equality)]) ).
cnf(5,plain,
divide(X,divide(divide(Y,inverse(X)),divide(Y,inverse(Z)))) = Z,
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(6,plain,
divide(divide(divide(divide(divide(X,inverse(Y)),Z),inverse(U)),divide(X,Z)),Y) = U,
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(9,plain,
divide(divide(X,inverse(Y)),X) = Y,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[6,6,theory(equality)]),single_axiom,theory(equality)]) ).
cnf(18,plain,
divide(X,divide(Y,Y)) = X,
inference('PARAMODULATE',[status(thm)],[single_axiom,9,theory(equality)]) ).
cnf(19,plain,
divide(X,divide(inverse(Y),inverse(X))) = Y,
inference('PARAMODULATE',[status(thm)],[9,9,theory(equality)]) ).
cnf(27,plain,
divide(divide(X,X),inverse(Y)) = Y,
inference('PARAMODULATE',[status(thm)],[9,18,theory(equality)]) ).
cnf(30,plain,
divide(X,divide(X,Y)) = Y,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5,27,theory(equality)]),27,theory(equality)]) ).
cnf(36,plain,
divide(divide(X,X),Y) = inverse(Y),
inference('PARAMODULATE',[status(thm)],[30,27,theory(equality)]) ).
cnf(39,plain,
inverse(inverse(X)) = X,
inference('REWRITE',[status(thm)],[27,36,theory(equality)]) ).
cnf(55,plain,
divide(X,Y) = divide(inverse(Y),inverse(X)),
inference('PARAMODULATE',[status(thm)],[30,19,theory(equality)]) ).
cnf(67,plain,
divide(X,inverse(Y)) = divide(Y,inverse(X)),
inference('PARAMODULATE',[status(thm)],[55,39,theory(equality)]) ).
cnf(68,plain,
$false,
inference('REWRITE',[status(thm)],[4,67,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP564-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n022.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 13:57:18 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.49 #<PACKAGE "SNARK-USER">
% 0.20/0.49 *
% 0.20/0.49 SNARK-TPTP-OPTIONS
% 0.20/0.49 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T13:57:18
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-14T13:57:18
% 0.37/0.54
% 0.37/0.54
% 0.37/0.54 #||
% 0.37/0.54 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/0.54 % SZS output start Refutation
% See solution above
% 0.37/0.54 ||#
% 0.37/0.54
% 0.37/0.54 ; Summary of computation:
% 0.37/0.54 ; 199 formulas have been input or derived (from 19 formulas).
% 0.37/0.54 ; 68 (34%) were retained. Of these,
% 0.37/0.54 ; 29 (43%) were simplified or subsumed later,
% 0.37/0.54 ; 39 (57%) are still being kept.
% 0.37/0.54 ;
% 0.37/0.54 ; Run time in seconds excluding printing time:
% 0.37/0.54 ; 0.001 2% Read assertion file (1 call)
% 0.37/0.54 ; 0.000 0% Assert (3 calls)
% 0.37/0.54 ; 0.013 26% Process new row (183 calls)
% 0.37/0.54 ; 0.000 0% Resolution (36 calls)
% 0.37/0.54 ; 0.007 14% Paramodulation (18 calls)
% 0.37/0.54 ; 0.003 6% Forward simplification (181 calls)
% 0.37/0.54 ; 0.003 6% Backward simplification (67 calls)
% 0.37/0.54 ; 0.000 0% Ordering (398 calls)
% 0.37/0.54 ; 0.000 0% Sortal reasoning (32 calls)
% 0.37/0.54 ; 0.000 0% Purity testing (1 call)
% 0.37/0.54 ; 0.023 46% Other
% 0.37/0.54 ; 0.050 Total
% 0.37/0.54 ; 0.053 Real time
% 0.37/0.54 ;
% 0.37/0.54 ; Term-hash-array has 278 terms in all.
% 0.37/0.54 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.37/0.54 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.37/0.54 ; Path-index has 154 entries (174 at peak, 287 added, 133 deleted).
% 0.37/0.54 ; Path-index has 548 nodes (616 at peak, 699 added, 151 deleted).
% 0.37/0.54 ; Trie-index has 154 entries (174 at peak, 287 added, 133 deleted).
% 0.37/0.54 ; Trie-index has 657 nodes (834 at peak, 1,221 added, 564 deleted).
% 0.37/0.54 ; Retrieved 521 generalization terms in 825 calls.
% 0.37/0.54 ; Retrieved 493 instance terms in 68 calls.
% 0.37/0.54 ; Retrieved 1,059 unifiable terms in 113 calls.
% 0.37/0.54 ;
% 0.37/0.54 ; The agenda of rows to process has 6 entries:
% 0.37/0.54 ; 1 with value 19 1 with value 21 2 with value 22
% 0.37/0.54 ; 2 with value 20
% 0.37/0.54 ; The agenda of rows to give has 27 entries:
% 0.37/0.54 ; 3 with value (4 18) 4 with value (4 23) 3 with value (4 29)
% 0.37/0.54 ; 1 with value (4 19) 1 with value (4 24) 2 with value (4 31)
% 0.37/0.54 ; 3 with value (4 20) 1 with value (4 25) 1 with value (4 33)
% 0.37/0.54 ; 1 with value (4 21) 2 with value (4 26) 1 with value (4 35)
% 0.37/0.54 ; 2 with value (4 22) 1 with value (4 28) 1 with value (4 40)
% 0.37/0.54 Evaluation took:
% 0.37/0.54 0.053 seconds of real time
% 0.37/0.54 0.043091 seconds of user run time
% 0.37/0.54 0.010036 seconds of system run time
% 0.37/0.54 0 calls to %EVAL
% 0.37/0.54 0 page faults and
% 0.37/0.54 3,603,440 bytes consed.
% 0.37/0.54 :PROOF-FOUND
% 0.37/0.54 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T13:57:18
% 0.37/0.54 :PROOF-FOUND
% 0.37/0.54 *
%------------------------------------------------------------------------------