TSTP Solution File: GRP561-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP561-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 11:39:26 EDT 2022
% Result : Unsatisfiable 0.19s 0.48s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of clauses : 12 ( 12 unt; 0 nHn; 3 RR)
% Number of literals : 12 ( 11 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 : 22 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(divide(divide(X,inverse(Y)),Z),divide(X,Z)) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(multiply,axiom,
multiply(X,Y) = divide(X,inverse(Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
cnf(prove_these_axioms_1,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).
cnf(4,plain,
divide(inverse(a1),inverse(a1)) != divide(inverse(b1),inverse(b1)),
inference('REWRITE',[status(thm)],[prove_these_axioms_1,multiply,theory(equality)]) ).
cnf(5,plain,
divide(X,divide(divide(Y,inverse(X)),divide(Y,inverse(Z)))) = Z,
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(6,plain,
divide(divide(divide(divide(divide(X,inverse(Y)),Z),inverse(U)),divide(X,Z)),Y) = U,
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(9,plain,
divide(divide(X,inverse(Y)),X) = Y,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[6,6,theory(equality)]),single_axiom,theory(equality)]) ).
cnf(18,plain,
divide(X,divide(Y,Y)) = X,
inference('PARAMODULATE',[status(thm)],[single_axiom,9,theory(equality)]) ).
cnf(27,plain,
divide(divide(X,X),inverse(Y)) = Y,
inference('PARAMODULATE',[status(thm)],[9,18,theory(equality)]) ).
cnf(30,plain,
divide(X,divide(X,Y)) = Y,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5,27,theory(equality)]),27,theory(equality)]) ).
cnf(35,plain,
divide(X,X) = divide(Y,Y),
inference('PARAMODULATE',[status(thm)],[30,18,theory(equality)]) ).
cnf(36,plain,
$false,
inference('REWRITE',[status(thm)],[4,35,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP561-1 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n027.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 06:13:03 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44 *
% 0.19/0.44 *
% 0.19/0.45 #<PACKAGE "SNARK-USER">
% 0.19/0.45 *
% 0.19/0.45 SNARK-TPTP-OPTIONS
% 0.19/0.45 *
% 0.19/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.45 (USE-FACTORING :POS)
% 0.19/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.45 *
% 0.19/0.45 "."
% 0.19/0.45 *
% 0.19/0.45 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T06:13:03
% 0.19/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-14T06:13:03
% 0.19/0.48
% 0.19/0.48
% 0.19/0.48 #||
% 0.19/0.48 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.48 % SZS output start Refutation
% See solution above
% 0.19/0.48 ||#
% 0.19/0.48
% 0.19/0.48 ; Summary of computation:
% 0.19/0.48 ; 74 formulas have been input or derived (from 10 formulas).
% 0.19/0.48 ; 36 (49%) were retained. Of these,
% 0.19/0.48 ; 2 ( 6%) were simplified or subsumed later,
% 0.19/0.48 ; 34 (94%) are still being kept.
% 0.19/0.48 ;
% 0.19/0.48 ; Run time in seconds excluding printing time:
% 0.19/0.48 ; 0.001 3% Read assertion file (1 call)
% 0.19/0.48 ; 0.000 0% Assert (3 calls)
% 0.19/0.48 ; 0.006 18% Process new row (61 calls)
% 0.19/0.48 ; 0.000 0% Resolution (18 calls)
% 0.19/0.48 ; 0.001 3% Paramodulation (9 calls)
% 0.19/0.48 ; 0.003 9% Forward simplification (61 calls)
% 0.19/0.48 ; 0.002 6% Backward simplification (35 calls)
% 0.19/0.48 ; 0.000 0% Ordering (168 calls)
% 0.19/0.48 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.48 ; 0.000 0% Purity testing (1 call)
% 0.19/0.48 ; 0.020 61% Other
% 0.19/0.48 ; 0.033 Total
% 0.19/0.48 ; 0.034 Real time
% 0.19/0.48 ;
% 0.19/0.48 ; Term-hash-array has 170 terms in all.
% 0.19/0.48 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.19/0.48 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.19/0.48 ; Path-index has 165 entries (172 at peak, 172 added, 7 deleted).
% 0.19/0.48 ; Path-index has 603 nodes (615 at peak, 615 added, 12 deleted).
% 0.19/0.48 ; Trie-index has 165 entries (172 at peak, 172 added, 7 deleted).
% 0.19/0.48 ; Trie-index has 814 nodes (833 at peak, 833 added, 19 deleted).
% 0.19/0.48 ; Retrieved 127 generalization terms in 290 calls.
% 0.19/0.48 ; Retrieved 185 instance terms in 34 calls.
% 0.19/0.48 ; Retrieved 337 unifiable terms in 63 calls.
% 0.19/0.48 ;
% 0.19/0.48 ; The agenda of rows to process has 9 entries:
% 0.19/0.48 ; 1 with value 17 3 with value 23 3 with value 30
% 0.19/0.48 ; 1 with value 18 1 with value 24
% 0.19/0.48 ; The agenda of rows to give has 25 entries:
% 0.19/0.48 ; 1 with value (4 15) 2 with value (4 23) 3 with value (4 33)
% 0.19/0.48 ; 1 with value (4 16) 2 with value (4 24) 1 with value (4 34)
% 0.19/0.48 ; 1 with value (4 17) 2 with value (4 26) 2 with value (4 35)
% 0.19/0.48 ; 1 with value (4 20) 1 with value (4 27) 1 with value (4 39)
% 0.19/0.48 ; 1 with value (4 21) 2 with value (4 28) 1 with value (4 40)
% 0.19/0.48 ; 1 with value (4 22) 2 with value (4 29)
% 0.19/0.48 Evaluation took:
% 0.19/0.48 0.034 seconds of real time
% 0.19/0.48 0.033272 seconds of user run time
% 0.19/0.48 9.34e-4 seconds of system run time
% 0.19/0.48 0 calls to %EVAL
% 0.19/0.48 0 page faults and
% 0.19/0.48 2,604,272 bytes consed.
% 0.19/0.48 :PROOF-FOUND
% 0.19/0.48 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T06:13:03
% 0.19/0.48 :PROOF-FOUND
% 0.19/0.48 *
%------------------------------------------------------------------------------