TSTP Solution File: GRP536-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP536-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 11:39:19 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of clauses : 15 ( 15 unt; 0 nHn; 3 RR)
% Number of literals : 15 ( 14 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 : 23 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(divide(X,divide(divide(X,Y),Z)),Y) = Z,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(multiply,axiom,
multiply(X,Y) = divide(X,divide(divide(Z,Z),Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
cnf(inverse,axiom,
inverse(X) = divide(divide(Y,Y),X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
cnf(identity,axiom,
identity = divide(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
cnf(prove_these_axioms_4,negated_conjecture,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox2/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(11,plain,
divide(divide(X,inverse(Y)),X) = Y,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[single_axiom,identity,theory(equality)]),6,theory(equality)]) ).
cnf(20,plain,
inverse(inverse(X)) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[11,identity,theory(equality)]),6,theory(equality)]) ).
cnf(21,plain,
divide(divide(X,Y),inverse(Y)) = X,
inference('PARAMODULATE',[status(thm)],[single_axiom,11,theory(equality)]) ).
cnf(25,plain,
divide(divide(X,Y),X) = inverse(Y),
inference('PARAMODULATE',[status(thm)],[11,20,theory(equality)]) ).
cnf(30,plain,
divide(inverse(X),inverse(Y)) = divide(Y,X),
inference('PARAMODULATE',[status(thm)],[21,25,theory(equality)]) ).
cnf(35,plain,
divide(X,inverse(Y)) = divide(Y,inverse(X)),
inference('PARAMODULATE',[status(thm)],[30,20,theory(equality)]) ).
cnf(36,plain,
$false,
inference('REWRITE',[status(thm)],[8,35,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP536-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n029.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 : Mon Jun 13 13:02:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T13:02:55
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-13T13:02:55
% 0.19/0.50
% 0.19/0.50
% 0.19/0.50 #||
% 0.19/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.50 % SZS output start Refutation
% See solution above
% 0.19/0.50 ||#
% 0.19/0.50
% 0.19/0.50 ; Summary of computation:
% 0.19/0.50 ; 152 formulas have been input or derived (from 18 formulas).
% 0.19/0.50 ; 36 (24%) were retained. Of these,
% 0.19/0.50 ; 14 (39%) were simplified or subsumed later,
% 0.19/0.50 ; 22 (61%) are still being kept.
% 0.19/0.50 ;
% 0.19/0.50 ; Run time in seconds excluding printing time:
% 0.19/0.50 ; 0.001 3% Read assertion file (1 call)
% 0.19/0.50 ; 0.000 0% Assert (5 calls)
% 0.19/0.50 ; 0.006 16% Process new row (144 calls)
% 0.19/0.50 ; 0.000 0% Resolution (34 calls)
% 0.19/0.50 ; 0.005 14% Paramodulation (17 calls)
% 0.19/0.50 ; 0.003 8% Forward simplification (130 calls)
% 0.19/0.50 ; 0.001 3% Backward simplification (36 calls)
% 0.19/0.50 ; 0.000 0% Ordering (293 calls)
% 0.19/0.50 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.50 ; 0.000 0% Purity testing (1 call)
% 0.19/0.50 ; 0.021 57% Other
% 0.19/0.50 ; 0.037 Total
% 0.19/0.50 ; 0.038 Real time
% 0.19/0.50 ;
% 0.19/0.50 ; Term-hash-array has 101 terms in all.
% 0.19/0.50 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.19/0.50 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.19/0.50 ; Path-index has 62 entries (69 at peak, 109 added, 47 deleted).
% 0.19/0.50 ; Path-index has 181 nodes (203 at peak, 238 added, 57 deleted).
% 0.19/0.50 ; Trie-index has 62 entries (69 at peak, 109 added, 47 deleted).
% 0.19/0.50 ; Trie-index has 209 nodes (226 at peak, 340 added, 131 deleted).
% 0.19/0.50 ; Retrieved 305 generalization terms in 469 calls.
% 0.19/0.50 ; Retrieved 99 instance terms in 38 calls.
% 0.19/0.50 ; Retrieved 268 unifiable terms in 96 calls.
% 0.19/0.50 ;
% 0.19/0.50 ; The agenda of rows to process has 7 entries:
% 0.19/0.50 ; 1 with value 17 1 with value 19 3 with value 20
% 0.19/0.50 ; 2 with value 18
% 0.19/0.50 ; The agenda of rows to give has 9 entries:
% 0.19/0.50 ; 1 with value (4 17) 1 with value (4 19) 1 with value (4 21)
% 0.19/0.50 ; 3 with value (4 18) 2 with value (4 20) 1 with value (4 22)
% 0.19/0.50 Evaluation took:
% 0.19/0.50 0.039 seconds of real time
% 0.19/0.50 0.032966 seconds of user run time
% 0.19/0.50 0.006216 seconds of system run time
% 0.19/0.50 0 calls to %EVAL
% 0.19/0.50 0 page faults and
% 0.19/0.50 2,608,600 bytes consed.
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T13:02:55
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 *
%------------------------------------------------------------------------------