TSTP Solution File: GRP551-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP551-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n015.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 11:39:23 EDT 2022
% Result : Unsatisfiable 0.18s 0.52s
% Output : Refutation 0.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of clauses : 31 ( 31 unt; 0 nHn; 7 RR)
% Number of literals : 31 ( 30 equ; 5 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 49 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(divide(identity,X),divide(divide(divide(Y,X),Z),Y)) = Z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(multiply,axiom,
multiply(X,Y) = divide(X,divide(identity,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
cnf(inverse,axiom,
inverse(X) = divide(identity,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_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(6,plain,
multiply(X,Y) = divide(X,inverse(Y)),
inference('REWRITE',[status(thm)],[multiply,inverse,theory(equality)]) ).
cnf(7,plain,
divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,inverse(divide(b3,inverse(c3)))),
inference('REWRITE',[status(thm)],[prove_these_axioms_3,6,theory(equality)]) ).
cnf(8,plain,
divide(inverse(X),divide(divide(divide(Y,X),Z),Y)) = Z,
inference('REWRITE',[status(thm)],[single_axiom,inverse,theory(equality)]) ).
cnf(9,plain,
identity = inverse(identity),
inference('PARAMODULATE',[status(thm)],[identity,inverse,theory(equality)]) ).
cnf(10,plain,
divide(inverse(X),inverse(Y)) = divide(Y,X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,identity,theory(equality)]),inverse,theory(equality)]) ).
cnf(11,plain,
divide(inverse(X),divide(inverse(Y),X)) = Y,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,identity,theory(equality)]),inverse,theory(equality)]) ).
cnf(14,plain,
inverse(divide(divide(divide(X,identity),Y),X)) = Y,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,9,theory(equality)]),inverse,theory(equality)]) ).
cnf(15,plain,
inverse(inverse(X)) = divide(X,identity),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[10,9,theory(equality)]),inverse,theory(equality)]) ).
cnf(16,plain,
inverse(divide(divide(inverse(inverse(X)),Y),X)) = Y,
inference('REWRITE',[status(thm)],[14,15,theory(equality)]) ).
cnf(18,plain,
inverse(inverse(inverse(X))) = inverse(X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[10,9,theory(equality)]),inverse,15,theory(equality)]) ).
cnf(22,plain,
divide(X,Y) = divide(inverse(inverse(X)),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[10,18,theory(equality)]),10,theory(equality)]) ).
cnf(25,plain,
inverse(divide(divide(X,Y),X)) = Y,
inference('REWRITE',[status(thm)],[16,22,theory(equality)]) ).
cnf(26,plain,
inverse(inverse(X)) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[11,identity,theory(equality)]),15,22,theory(equality)]) ).
cnf(28,plain,
divide(X,divide(X,Y)) = Y,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[11,10,theory(equality)]),26,theory(equality)]) ).
cnf(31,plain,
divide(X,inverse(Y)) = divide(Y,inverse(X)),
inference('PARAMODULATE',[status(thm)],[10,26,theory(equality)]) ).
cnf(32,plain,
divide(divide(b3,inverse(a3)),inverse(c3)) != divide(divide(c3,inverse(b3)),inverse(a3)),
inference('REWRITE',[status(thm)],[7,31,theory(equality)]) ).
cnf(34,plain,
divide(inverse(X),Y) = divide(inverse(Y),X),
inference('PARAMODULATE',[status(thm)],[10,26,theory(equality)]) ).
cnf(37,plain,
divide(inverse(X),divide(Y,Z)) = divide(divide(Z,X),Y),
inference('PARAMODULATE',[status(thm)],[8,28,theory(equality)]) ).
cnf(39,plain,
divide(divide(b3,inverse(a3)),inverse(c3)) != divide(b3,divide(inverse(a3),c3)),
inference('REWRITE',[status(thm)],[32,26,37,theory(equality)]) ).
cnf(40,plain,
inverse(X) = divide(divide(Y,X),Y),
inference('PARAMODULATE',[status(thm)],[26,25,theory(equality)]) ).
cnf(42,plain,
inverse(divide(X,Y)) = divide(Y,X),
inference('PARAMODULATE',[status(thm)],[40,28,theory(equality)]) ).
cnf(46,plain,
divide(c3,divide(inverse(a3),b3)) != divide(b3,divide(inverse(a3),c3)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[39,31,theory(equality)]),42,theory(equality)]) ).
cnf(47,plain,
divide(divide(X,Y),Z) = divide(inverse(Z),divide(Y,X)),
inference('PARAMODULATE',[status(thm)],[34,42,theory(equality)]) ).
cnf(48,plain,
divide(divide(X,Y),Z) = divide(divide(X,Z),Y),
inference('REWRITE',[status(thm)],[37,47,theory(equality)]) ).
cnf(59,plain,
divide(X,divide(Y,Z)) = divide(Z,divide(Y,X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[42,48,theory(equality)]),42,theory(equality)]) ).
cnf(60,plain,
$false,
inference('REWRITE',[status(thm)],[46,59,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP551-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n015.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 13 19:26:53 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T19:26:53
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-06-13T19:26:53
% 0.18/0.52
% 0.18/0.52
% 0.18/0.52 #||
% 0.18/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.52 % SZS output start Refutation
% See solution above
% 0.35/0.52 ||#
% 0.35/0.52
% 0.35/0.52 ; Summary of computation:
% 0.35/0.52 ; 343 formulas have been input or derived (from 26 formulas).
% 0.35/0.52 ; 60 (17%) were retained. Of these,
% 0.35/0.52 ; 37 (62%) were simplified or subsumed later,
% 0.35/0.52 ; 23 (38%) are still being kept.
% 0.35/0.52 ;
% 0.35/0.52 ; Run time in seconds excluding printing time:
% 0.35/0.52 ; 0.002 4% Read assertion file (1 call)
% 0.35/0.52 ; 0.000 0% Assert (5 calls)
% 0.35/0.52 ; 0.009 16% Process new row (311 calls)
% 0.35/0.52 ; 0.001 2% Resolution (50 calls)
% 0.35/0.52 ; 0.004 7% Paramodulation (25 calls)
% 0.35/0.52 ; 0.003 5% Forward simplification (277 calls)
% 0.35/0.52 ; 0.006 11% Backward simplification (60 calls)
% 0.35/0.52 ; 0.003 5% Ordering (756 calls)
% 0.35/0.52 ; 0.001 2% Sortal reasoning (32 calls)
% 0.35/0.52 ; 0.000 0% Purity testing (1 call)
% 0.35/0.52 ; 0.026 47% Other
% 0.35/0.52 ; 0.055 Total
% 0.35/0.52 ; 0.059 Real time
% 0.35/0.52 ;
% 0.35/0.52 ; Term-hash-array has 180 terms in all.
% 0.35/0.52 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.35/0.52 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.35/0.52 ; Path-index has 63 entries (78 at peak, 214 added, 151 deleted).
% 0.35/0.52 ; Path-index has 227 nodes (256 at peak, 422 added, 195 deleted).
% 0.35/0.52 ; Trie-index has 63 entries (78 at peak, 214 added, 151 deleted).
% 0.35/0.52 ; Trie-index has 197 nodes (263 at peak, 746 added, 549 deleted).
% 0.35/0.52 ; Retrieved 1,058 generalization terms in 1,357 calls.
% 0.35/0.52 ; Retrieved 232 instance terms in 67 calls.
% 0.35/0.52 ; Retrieved 641 unifiable terms in 165 calls.
% 0.35/0.52 ;
% 0.35/0.52 ; The agenda of backward simplifiable rows to process has 2 entries:
% 0.35/0.52 ; 2 with value 0
% 0.35/0.52 ; The agenda of rows to process has 24 entries:
% 0.35/0.52 ; 14 with value 21 6 with value 23 2 with value 24
% 0.35/0.52 ; 2 with value 22
% 0.35/0.52 ; The agenda of rows to give has 9 entries:
% 0.35/0.52 ; 1 with value (4 17) 1 with value (4 19) 1 with value (4 21)
% 0.35/0.52 ; 1 with value (4 18) 4 with value (4 20) 1 with value (4 22)
% 0.35/0.52 Evaluation took:
% 0.35/0.52 0.059 seconds of real time
% 0.35/0.52 0.053346 seconds of user run time
% 0.35/0.52 0.006226 seconds of system run time
% 0.35/0.52 0 calls to %EVAL
% 0.35/0.52 0 page faults and
% 0.35/0.52 4,926,008 bytes consed.
% 0.35/0.52 :PROOF-FOUND
% 0.35/0.52 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T19:26:53
% 0.35/0.52 :PROOF-FOUND
% 0.35/0.52 *
%------------------------------------------------------------------------------