TSTP Solution File: GRP530-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP530-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n008.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 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 9 ( 9 unt; 0 nHn; 3 RR)
% Number of literals : 9 ( 8 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 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 : 13 ( 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_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(8,plain,
inverse(divide(divide(X,Y),X)) = Y,
inference('PARAMODULATE',[status(thm)],[inverse,single_axiom,theory(equality)]) ).
cnf(14,plain,
inverse(inverse(X)) = X,
inference('PARAMODULATE',[status(thm)],[8,inverse,theory(equality)]) ).
cnf(15,plain,
$false,
inference('REWRITE',[status(thm)],[6,14,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP530-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n008.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 : Tue Jun 14 03:41:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 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 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T03:41:07
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-06-14T03:41:07
% 0.19/0.49
% 0.19/0.49
% 0.19/0.49 #||
% 0.19/0.49 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.49 % SZS output start Refutation
% See solution above
% 0.19/0.49 ||#
% 0.19/0.49
% 0.19/0.49 ; Summary of computation:
% 0.19/0.49 ; 22 formulas have been input or derived (from 6 formulas).
% 0.19/0.49 ; 15 (68%) were retained. Of these,
% 0.19/0.49 ; 3 (20%) were simplified or subsumed later,
% 0.19/0.49 ; 12 (80%) are still being kept.
% 0.19/0.49 ;
% 0.19/0.49 ; Run time in seconds excluding printing time:
% 0.19/0.49 ; 0.002 7% Read assertion file (1 call)
% 0.19/0.49 ; 0.000 0% Assert (4 calls)
% 0.19/0.49 ; 0.002 7% Process new row (20 calls)
% 0.19/0.49 ; 0.000 0% Resolution (10 calls)
% 0.19/0.49 ; 0.001 4% Paramodulation (5 calls)
% 0.19/0.49 ; 0.000 0% Forward simplification (20 calls)
% 0.19/0.49 ; 0.000 0% Backward simplification (15 calls)
% 0.19/0.49 ; 0.000 0% Ordering (49 calls)
% 0.19/0.49 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.49 ; 0.000 0% Purity testing (1 call)
% 0.19/0.49 ; 0.022 81% Other
% 0.19/0.49 ; 0.027 Total
% 0.19/0.49 ; 0.028 Real time
% 0.19/0.49 ;
% 0.19/0.49 ; Term-hash-array has 53 terms in all.
% 0.19/0.49 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.19/0.49 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.19/0.49 ; Path-index has 45 entries (48 at peak, 60 added, 15 deleted).
% 0.19/0.49 ; Path-index has 178 nodes (182 at peak, 204 added, 26 deleted).
% 0.19/0.49 ; Trie-index has 45 entries (48 at peak, 60 added, 15 deleted).
% 0.19/0.49 ; Trie-index has 167 nodes (171 at peak, 206 added, 39 deleted).
% 0.19/0.49 ; Retrieved 14 generalization terms in 62 calls.
% 0.19/0.49 ; Retrieved 19 instance terms in 15 calls.
% 0.19/0.49 ; Retrieved 33 unifiable terms in 28 calls.
% 0.19/0.49 ;
% 0.19/0.49 ; The agenda of rows to process has 2 entries:
% 0.19/0.49 ; 1 with value 15 1 with value 19
% 0.19/0.49 ; The agenda of rows to give has 7 entries:
% 0.19/0.49 ; 1 with value (4 10) 2 with value (4 17) 2 with value (4 21)
% 0.19/0.49 ; 2 with value (4 14)
% 0.19/0.49 Evaluation took:
% 0.19/0.49 0.029 seconds of real time
% 0.19/0.49 0.023262 seconds of user run time
% 0.19/0.49 0.005276 seconds of system run time
% 0.19/0.49 0 calls to %EVAL
% 0.19/0.49 0 page faults and
% 0.19/0.49 1,797,000 bytes consed.
% 0.19/0.49 :PROOF-FOUND
% 0.19/0.49 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T03:41:07
% 0.19/0.49 :PROOF-FOUND
% 0.19/0.49 *
%------------------------------------------------------------------------------