TSTP Solution File: GRP522-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP522-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 11:39:16 EDT 2022
% Result : Unsatisfiable 0.16s 0.46s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of clauses : 20 ( 20 unt; 0 nHn; 3 RR)
% Number of literals : 20 ( 19 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 : 40 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(X,divide(Y,divide(Z,divide(X,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(prove_these_axioms_2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
cnf(5,plain,
multiply(X,Y) = divide(X,inverse(Y)),
inference('REWRITE',[status(thm)],[multiply,inverse,theory(equality)]) ).
cnf(6,plain,
inverse(inverse(a2)) != a2,
inference('REWRITE',[status(thm)],[prove_these_axioms_2,inverse,5,theory(equality)]) ).
cnf(7,plain,
inverse(X) = divide(inverse(divide(Y,Y)),X),
inference('PARAMODULATE',[status(thm)],[inverse,inverse,theory(equality)]) ).
cnf(8,plain,
divide(X,divide(divide(Y,divide(Z,X)),Y)) = Z,
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(9,plain,
inverse(divide(X,divide(Y,inverse(X)))) = Y,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[single_axiom,inverse,theory(equality)]),inverse,theory(equality)]) ).
cnf(10,plain,
divide(X,divide(Y,inverse(divide(X,Y)))) = divide(Z,Z),
inference('PARAMODULATE',[status(thm)],[single_axiom,inverse,theory(equality)]) ).
cnf(19,plain,
inverse(inverse(divide(X,inverse(divide(Y,Y))))) = X,
inference('PARAMODULATE',[status(thm)],[9,inverse,theory(equality)]) ).
cnf(23,plain,
divide(X,inverse(divide(Y,X))) = Y,
inference('PARAMODULATE',[status(thm)],[8,inverse,theory(equality)]) ).
cnf(24,plain,
divide(X,X) = divide(Y,Y),
inference('REWRITE',[status(thm)],[10,23,theory(equality)]) ).
cnf(30,plain,
inverse(divide(divide(X,divide(Y,divide(Z,Z))),X)) = Y,
inference('PARAMODULATE',[status(thm)],[inverse,8,theory(equality)]) ).
cnf(33,plain,
inverse(divide(divide(X,divide(Y,inverse(divide(Z,Z)))),X)) = Y,
inference('PARAMODULATE',[status(thm)],[7,8,theory(equality)]) ).
cnf(39,plain,
divide(X,divide(Y,divide(Z,Z))) = divide(X,Y),
inference('PARAMODULATE',[status(thm)],[single_axiom,24,theory(equality)]) ).
cnf(40,plain,
inverse(divide(divide(X,Y),X)) = Y,
inference('REWRITE',[status(thm)],[30,39,theory(equality)]) ).
cnf(41,plain,
divide(X,inverse(divide(Y,Y))) = X,
inference('REWRITE',[status(thm)],[33,40,theory(equality)]) ).
cnf(42,plain,
inverse(inverse(X)) = X,
inference('REWRITE',[status(thm)],[19,41,theory(equality)]) ).
cnf(44,plain,
$false,
inference('REWRITE',[status(thm)],[6,42,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GRP522-1 : TPTP v8.1.0. Released v2.6.0.
% 0.10/0.11 % Command : run-snark %s %d
% 0.10/0.31 % Computer : n023.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.31 % CPULimit : 300
% 0.15/0.31 % WCLimit : 600
% 0.15/0.31 % DateTime : Tue Jun 14 08:16:35 EDT 2022
% 0.15/0.31 % CPUTime :
% 0.16/0.41 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.42 *
% 0.16/0.42 *
% 0.16/0.43 #<PACKAGE "SNARK-USER">
% 0.16/0.43 *
% 0.16/0.43 SNARK-TPTP-OPTIONS
% 0.16/0.43 *
% 0.16/0.43 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.16/0.43 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.16/0.43 (USE-FACTORING :POS)
% 0.16/0.43 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.16/0.43 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.16/0.43 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.16/0.43 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.16/0.43 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.16/0.43 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.16/0.43 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.16/0.43 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.16/0.43 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.16/0.43 (DECLARE-TPTP-SYMBOLS2))
% 0.16/0.43 *
% 0.16/0.43 "."
% 0.16/0.43 *
% 0.16/0.43 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T08:16:36
% 0.16/0.43 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-14T08:16:36
% 0.16/0.46
% 0.16/0.46
% 0.16/0.46 #||
% 0.16/0.46 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.46 % SZS output start Refutation
% See solution above
% 0.16/0.46 ||#
% 0.16/0.46
% 0.16/0.46 ; Summary of computation:
% 0.16/0.46 ; 84 formulas have been input or derived (from 9 formulas).
% 0.16/0.46 ; 44 (52%) were retained. Of these,
% 0.16/0.46 ; 18 (41%) were simplified or subsumed later,
% 0.16/0.46 ; 26 (59%) are still being kept.
% 0.16/0.46 ;
% 0.16/0.46 ; Run time in seconds excluding printing time:
% 0.16/0.46 ; 0.001 3% Read assertion file (1 call)
% 0.16/0.46 ; 0.000 0% Assert (4 calls)
% 0.16/0.46 ; 0.003 10% Process new row (73 calls)
% 0.16/0.46 ; 0.000 0% Resolution (16 calls)
% 0.16/0.46 ; 0.004 14% Paramodulation (8 calls)
% 0.16/0.46 ; 0.000 0% Forward simplification (73 calls)
% 0.16/0.46 ; 0.002 7% Backward simplification (44 calls)
% 0.16/0.46 ; 0.000 0% Ordering (170 calls)
% 0.16/0.46 ; 0.001 3% Sortal reasoning (32 calls)
% 0.16/0.46 ; 0.000 0% Purity testing (1 call)
% 0.16/0.46 ; 0.018 62% Other
% 0.16/0.46 ; 0.029 Total
% 0.16/0.46 ; 0.033 Real time
% 0.16/0.46 ;
% 0.16/0.46 ; Term-hash-array has 139 terms in all.
% 0.16/0.46 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.16/0.46 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.16/0.46 ; Path-index has 83 entries (123 at peak, 147 added, 64 deleted).
% 0.16/0.46 ; Path-index has 364 nodes (428 at peak, 455 added, 91 deleted).
% 0.16/0.46 ; Trie-index has 83 entries (123 at peak, 147 added, 64 deleted).
% 0.16/0.46 ; Trie-index has 278 nodes (428 at peak, 486 added, 208 deleted).
% 0.16/0.46 ; Retrieved 63 generalization terms in 309 calls.
% 0.16/0.46 ; Retrieved 96 instance terms in 44 calls.
% 0.16/0.46 ; Retrieved 215 unifiable terms in 47 calls.
% 0.16/0.46 ;
% 0.16/0.46 ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.16/0.46 ; 1 with value 0
% 0.16/0.46 ; The agenda of rows to process has 7 entries:
% 0.16/0.46 ; 3 with value 17 4 with value 18
% 0.16/0.46 ; The agenda of rows to give has 18 entries:
% 0.16/0.46 ; 1 with value (4 10) 1 with value (4 16) 1 with value (4 21)
% 0.16/0.46 ; 1 with value (4 13) 2 with value (4 17) 3 with value (4 22)
% 0.16/0.46 ; 5 with value (4 14) 1 with value (4 19) 1 with value (4 23)
% 0.16/0.46 ; 1 with value (4 15) 1 with value (4 20)
% 0.16/0.46 Evaluation took:
% 0.16/0.46 0.033 seconds of real time
% 0.16/0.46 0.028407 seconds of user run time
% 0.16/0.46 0.00405 seconds of system run time
% 0.16/0.46 0 calls to %EVAL
% 0.16/0.46 0 page faults and
% 0.16/0.46 3,046,104 bytes consed.
% 0.16/0.46 :PROOF-FOUND
% 0.16/0.46 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T08:16:36
% 0.16/0.46 :PROOF-FOUND
% 0.16/0.46 *
%------------------------------------------------------------------------------