%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP531-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 11:39:18 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of clauses : 25 ( 25 unt; 0 nHn; 5 RR)
% Number of literals : 25 ( 24 equ; 4 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 : 45 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(divide(X,divide(Y,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_3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
cnf(5,plain,
multiply(X,Y) = divide(X,inverse(Y)),
inference('REWRITE',[status(thm)],[multiply,inverse,theory(equality)]) ).
cnf(6,plain,
divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,inverse(divide(b3,inverse(c3)))),
inference('REWRITE',[status(thm)],[prove_these_axioms_3,5,theory(equality)]) ).
cnf(8,plain,
inverse(divide(divide(X,Y),X)) = Y,
inference('PARAMODULATE',[status(thm)],[inverse,single_axiom,theory(equality)]) ).
cnf(9,plain,
divide(X,divide(divide(Y,divide(Z,X)),Y)) = Z,
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(11,plain,
divide(inverse(divide(X,Y)),inverse(X)) = Y,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[single_axiom,inverse,theory(equality)]),inverse,theory(equality)]) ).
cnf(14,plain,
inverse(inverse(X)) = X,
inference('PARAMODULATE',[status(thm)],[8,inverse,theory(equality)]) ).
cnf(17,plain,
inverse(X) = divide(divide(Y,X),Y),
inference('PARAMODULATE',[status(thm)],[14,8,theory(equality)]) ).
cnf(18,plain,
divide(X,inverse(divide(Y,X))) = Y,
inference('REWRITE',[status(thm)],[9,17,theory(equality)]) ).
cnf(20,plain,
divide(X,divide(Y,Y)) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[inverse,18,theory(equality)]),14,theory(equality)]) ).
cnf(21,plain,
divide(divide(X,Y),divide(X,Z)) = inverse(divide(Y,Z)),
inference('PARAMODULATE',[status(thm)],[single_axiom,18,theory(equality)]) ).
cnf(25,plain,
divide(inverse(X),inverse(Y)) = inverse(divide(X,Y)),
inference('PARAMODULATE',[status(thm)],[18,11,theory(equality)]) ).
cnf(28,plain,
divide(X,inverse(Y)) = inverse(divide(inverse(X),Y)),
inference('PARAMODULATE',[status(thm)],[25,14,theory(equality)]) ).
cnf(29,plain,
inverse(divide(divide(inverse(a3),b3),c3)) != divide(a3,divide(inverse(b3),c3)),
inference('REWRITE',[status(thm)],[6,14,25,28,theory(equality)]) ).
cnf(30,plain,
divide(inverse(X),Y) = inverse(divide(X,inverse(Y))),
inference('PARAMODULATE',[status(thm)],[25,14,theory(equality)]) ).
cnf(32,plain,
inverse(divide(X,Y)) = divide(Y,X),
inference('PARAMODULATE',[status(thm)],[20,21,theory(equality)]) ).
cnf(34,plain,
divide(inverse(X),Y) = divide(inverse(Y),X),
inference('REWRITE',[status(thm)],[30,32,theory(equality)]) ).
cnf(36,plain,
divide(divide(X,Y),divide(X,Z)) = divide(Z,Y),
inference('REWRITE',[status(thm)],[21,32,theory(equality)]) ).
cnf(38,plain,
divide(c3,divide(inverse(a3),b3)) != divide(a3,divide(inverse(b3),c3)),
inference('REWRITE',[status(thm)],[29,32,theory(equality)]) ).
cnf(39,plain,
X = divide(Y,divide(Y,X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[32,17,theory(equality)]),14,theory(equality)]) ).
cnf(46,plain,
divide(X,divide(Y,Z)) = divide(Z,divide(Y,X)),
inference('PARAMODULATE',[status(thm)],[36,39,theory(equality)]) ).
cnf(47,plain,
$false,
inference('REWRITE',[status(thm)],[38,34,46,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP531-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n028.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 09:45:08 EDT 2022
% 0.13/0.34 % 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 2022-06-14T09:45:09
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-14T09:45:09
% 0.20/0.52
% 0.20/0.52
% 0.20/0.52 #||
% 0.20/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.52 % 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 ; 391 formulas have been input or derived (from 27 formulas).
% 0.20/0.52 ; 47 (12%) were retained. Of these,
% 0.20/0.52 ; 26 (55%) were simplified or subsumed later,
% 0.20/0.52 ; 21 (45%) 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 (4 calls)
% 0.20/0.52 ; 0.007 13% Process new row (360 calls)
% 0.20/0.52 ; 0.002 4% Resolution (52 calls)
% 0.20/0.52 ; 0.007 13% Paramodulation (26 calls)
% 0.20/0.52 ; 0.007 13% Forward simplification (314 calls)
% 0.20/0.52 ; 0.003 6% Backward simplification (47 calls)
% 0.20/0.52 ; 0.002 4% Ordering (722 calls)
% 0.20/0.52 ; 0.001 2% Sortal reasoning (32 calls)
% 0.20/0.52 ; 0.000 0% Purity testing (1 call)
% 0.20/0.52 ; 0.023 43% Other
% 0.20/0.52 ; 0.053 Total
% 0.20/0.52 ; 0.056 Real time
% 0.20/0.52 ;
% 0.20/0.52 ; Term-hash-array has 136 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 59 entries (68 at peak, 164 added, 105 deleted).
% 0.20/0.53 ; Path-index has 201 nodes (238 at peak, 340 added, 139 deleted).
% 0.20/0.53 ; Trie-index has 59 entries (68 at peak, 164 added, 105 deleted).
% 0.20/0.53 ; Trie-index has 187 nodes (229 at peak, 509 added, 322 deleted).
% 0.20/0.53 ; Retrieved 664 generalization terms in 1,482 calls.
% 0.20/0.53 ; Retrieved 162 instance terms in 54 calls.
% 0.20/0.53 ; Retrieved 683 unifiable terms in 172 calls.
% 0.20/0.53 ;
% 0.20/0.53 ; The agenda of rows to process has 16 entries:
% 0.20/0.53 ; 2 with value 19 8 with value 21 2 with value 22
% 0.20/0.53 ; 4 with value 20
% 0.20/0.53 ; The agenda of rows to give has 8 entries:
% 0.20/0.53 ; 2 with value (4 17) 4 with value (4 19) 2 with value (4 21)
% 0.20/0.53 Evaluation took:
% 0.20/0.53 0.056 seconds of real time
% 0.20/0.53 0.046284 seconds of user run time
% 0.20/0.53 0.010113 seconds of system run time
% 0.20/0.53 0 calls to %EVAL
% 0.20/0.53 0 page faults and
% 0.20/0.53 4,192,760 bytes consed.
% 0.20/0.53 :PROOF-FOUND
% 0.20/0.53 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T09:45:09
% 0.20/0.53 :PROOF-FOUND
% 0.20/0.53 *
%------------------------------------------------------------------------------