TSTP Solution File: GRP520-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP520-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n011.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 11:39:15 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of clauses : 15 ( 15 unt; 0 nHn; 2 RR)
% Number of literals : 15 ( 14 equ; 1 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 47 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
multiply(X,multiply(multiply(inverse(multiply(X,Y)),Z),Y)) = Z,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
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(3,plain,
multiply(X,multiply(multiply(inverse(Y),Z),multiply(multiply(inverse(multiply(X,U)),Y),U))) = Z,
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(4,plain,
multiply(X,multiply(Y,Z)) = multiply(multiply(inverse(multiply(inverse(multiply(X,Z)),U)),Y),U),
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(5,plain,
multiply(multiply(inverse(X),Y),X) = Y,
inference('PARAMODULATE',[status(thm)],[3,single_axiom,theory(equality)]) ).
cnf(6,plain,
multiply(X,multiply(Y,multiply(multiply(inverse(multiply(X,Z)),U),Z))) = multiply(multiply(inverse(multiply(inverse(U),V)),Y),V),
inference('PARAMODULATE',[status(thm)],[3,single_axiom,theory(equality)]) ).
cnf(9,plain,
multiply(X,multiply(Y,multiply(multiply(inverse(multiply(X,Z)),U),Z))) = multiply(multiply(inverse(V),Y),multiply(multiply(inverse(multiply(inverse(U),W)),V),W)),
inference('PARAMODULATE',[status(thm)],[3,3,theory(equality)]) ).
cnf(13,plain,
multiply(X,Y) = multiply(multiply(inverse(multiply(inverse(Y),Z)),X),Z),
inference('PARAMODULATE',[status(thm)],[5,single_axiom,theory(equality)]) ).
cnf(14,plain,
multiply(X,multiply(Y,Z)) = multiply(Y,multiply(X,Z)),
inference('REWRITE',[status(thm)],[4,13,theory(equality)]) ).
cnf(16,plain,
multiply(X,multiply(Y,multiply(multiply(inverse(multiply(X,Z)),U),Z))) = multiply(multiply(inverse(V),Y),multiply(V,U)),
inference('REWRITE',[status(thm)],[9,13,theory(equality)]) ).
cnf(17,plain,
multiply(X,multiply(Y,multiply(multiply(inverse(multiply(X,Z)),U),Z))) = multiply(Y,U),
inference('REWRITE',[status(thm)],[6,13,theory(equality)]) ).
cnf(18,plain,
multiply(X,Y) = multiply(multiply(inverse(Z),X),multiply(Z,Y)),
inference('REWRITE',[status(thm)],[16,17,theory(equality)]) ).
cnf(19,plain,
multiply(X,Y) = multiply(multiply(inverse(Z),Y),multiply(X,Z)),
inference('PARAMODULATE',[status(thm)],[14,5,theory(equality)]) ).
cnf(26,plain,
multiply(X,Y) = multiply(Y,X),
inference('PARAMODULATE',[status(thm)],[18,19,theory(equality)]) ).
cnf(27,plain,
$false,
inference('REWRITE',[status(thm)],[prove_these_axioms_4,26,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP520-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 14 13:10:19 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T13:10:19
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-06-14T13:10:19
% 0.19/0.51
% 0.19/0.51
% 0.19/0.51 #||
% 0.19/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51 % SZS output start Refutation
% See solution above
% 0.19/0.51 ||#
% 0.19/0.51
% 0.19/0.51 ; Summary of computation:
% 0.19/0.51 ; 70 formulas have been input or derived (from 8 formulas).
% 0.19/0.51 ; 27 (39%) were retained. Of these,
% 0.19/0.51 ; 11 (41%) were simplified or subsumed later,
% 0.19/0.51 ; 16 (59%) are still being kept.
% 0.19/0.51 ;
% 0.19/0.51 ; Run time in seconds excluding printing time:
% 0.19/0.51 ; 0.000 0% Read assertion file (1 call)
% 0.19/0.51 ; 0.001 3% Assert (2 calls)
% 0.19/0.51 ; 0.003 8% Process new row (57 calls)
% 0.19/0.51 ; 0.000 0% Resolution (14 calls)
% 0.19/0.51 ; 0.001 3% Paramodulation (7 calls)
% 0.19/0.51 ; 0.001 3% Forward simplification (55 calls)
% 0.19/0.51 ; 0.002 6% Backward simplification (27 calls)
% 0.19/0.51 ; 0.005 14% Ordering (209 calls)
% 0.19/0.51 ; 0.001 3% Sortal reasoning (32 calls)
% 0.19/0.51 ; 0.000 0% Purity testing (1 call)
% 0.19/0.51 ; 0.022 61% Other
% 0.19/0.51 ; 0.036 Total
% 0.19/0.51 ; 0.037 Real time
% 0.19/0.51 ;
% 0.19/0.51 ; Term-hash-array has 134 terms in all.
% 0.19/0.51 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.19/0.51 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.19/0.51 ; Path-index has 81 entries (89 at peak, 146 added, 65 deleted).
% 0.19/0.51 ; Path-index has 275 nodes (296 at peak, 342 added, 67 deleted).
% 0.19/0.51 ; Trie-index has 81 entries (89 at peak, 146 added, 65 deleted).
% 0.19/0.51 ; Trie-index has 282 nodes (325 at peak, 505 added, 223 deleted).
% 0.19/0.51 ; Retrieved 138 generalization terms in 281 calls.
% 0.19/0.51 ; Retrieved 129 instance terms in 30 calls.
% 0.19/0.51 ; Retrieved 263 unifiable terms in 53 calls.
% 0.19/0.51 ;
% 0.19/0.51 ; The agenda of rows to process has 13 entries:
% 0.19/0.51 ; 1 with value 13 2 with value 24 2 with value 26
% 0.19/0.51 ; 3 with value 21 4 with value 25 1 with value 27
% 0.19/0.51 ; The agenda of rows to give has 11 entries:
% 0.19/0.51 ; 1 with value (4 13) 1 with value (4 23) 1 with value (4 26)
% 0.19/0.51 ; 1 with value (4 20) 2 with value (4 24) 1 with value (4 32)
% 0.19/0.51 ; 1 with value (4 21) 1 with value (4 25) 1 with value (4 38)
% 0.19/0.51 ; 1 with value (4 22)
% 0.19/0.51 Evaluation took:
% 0.19/0.51 0.038 seconds of real time
% 0.19/0.51 0.034379 seconds of user run time
% 0.19/0.51 0.003819 seconds of system run time
% 0.19/0.51 0 calls to %EVAL
% 0.19/0.51 0 page faults and
% 0.19/0.51 3,058,088 bytes consed.
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T13:10:19
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 *
%------------------------------------------------------------------------------