TSTP Solution File: GRP538-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP538-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 11:39:20 EDT 2022
% Result : Unsatisfiable 0.36s 0.52s
% Output : Refutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 11 ( 11 unt; 0 nHn; 3 RR)
% Number of literals : 11 ( 10 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(divide(X,Y),divide(divide(X,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_2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
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,
inverse(inverse(a2)) != a2,
inference('REWRITE',[status(thm)],[prove_these_axioms_2,6,identity,7,theory(equality)]) ).
cnf(10,plain,
divide(divide(X,Y),inverse(Y)) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[single_axiom,identity,theory(equality)]),6,theory(equality)]) ).
cnf(17,plain,
inverse(inverse(X)) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[10,identity,theory(equality)]),6,theory(equality)]) ).
cnf(18,plain,
$false,
inference('REWRITE',[status(thm)],[8,17,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP538-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.14 % Command : run-snark %s %d
% 0.15/0.35 % Computer : n023.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Mon Jun 13 15:23:51 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.49 #<PACKAGE "SNARK-USER">
% 0.21/0.49 *
% 0.21/0.49 SNARK-TPTP-OPTIONS
% 0.21/0.49 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T15:23:51
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-13T15:23:51
% 0.36/0.52
% 0.36/0.52
% 0.36/0.52 #||
% 0.36/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/0.52 % SZS output start Refutation
% See solution above
% 0.36/0.52 ||#
% 0.36/0.52
% 0.36/0.52 ; Summary of computation:
% 0.36/0.52 ; 32 formulas have been input or derived (from 8 formulas).
% 0.36/0.52 ; 18 (56%) were retained. Of these,
% 0.36/0.52 ; 4 (22%) were simplified or subsumed later,
% 0.36/0.52 ; 14 (78%) are still being kept.
% 0.36/0.52 ;
% 0.36/0.52 ; Run time in seconds excluding printing time:
% 0.36/0.52 ; 0.001 4% Read assertion file (1 call)
% 0.36/0.52 ; 0.000 0% Assert (5 calls)
% 0.36/0.52 ; 0.002 7% Process new row (25 calls)
% 0.36/0.52 ; 0.000 0% Resolution (14 calls)
% 0.36/0.52 ; 0.001 4% Paramodulation (7 calls)
% 0.36/0.52 ; 0.000 0% Forward simplification (25 calls)
% 0.36/0.52 ; 0.000 0% Backward simplification (18 calls)
% 0.36/0.52 ; 0.001 4% Ordering (69 calls)
% 0.36/0.52 ; 0.001 4% Sortal reasoning (32 calls)
% 0.36/0.52 ; 0.000 0% Purity testing (1 call)
% 0.36/0.52 ; 0.022 79% Other
% 0.36/0.52 ; 0.028 Total
% 0.36/0.52 ; 0.030 Real time
% 0.36/0.52 ;
% 0.36/0.52 ; Term-hash-array has 59 terms in all.
% 0.36/0.52 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.36/0.52 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.36/0.52 ; Path-index has 48 entries (51 at peak, 67 added, 19 deleted).
% 0.36/0.52 ; Path-index has 168 nodes (172 at peak, 192 added, 24 deleted).
% 0.36/0.52 ; Trie-index has 48 entries (51 at peak, 67 added, 19 deleted).
% 0.36/0.52 ; Trie-index has 162 nodes (166 at peak, 211 added, 49 deleted).
% 0.36/0.52 ; Retrieved 39 generalization terms in 71 calls.
% 0.36/0.52 ; Retrieved 31 instance terms in 19 calls.
% 0.36/0.52 ; Retrieved 53 unifiable terms in 37 calls.
% 0.36/0.52 ;
% 0.36/0.52 ; The agenda of rows to process has 7 entries:
% 0.36/0.52 ; 2 with value 12 1 with value 15 2 with value 19
% 0.36/0.52 ; 1 with value 14 1 with value 18
% 0.36/0.52 ; The agenda of rows to give has 7 entries:
% 0.36/0.52 ; 1 with value (4 10) 2 with value (4 14) 1 with value (4 20)
% 0.36/0.52 ; 1 with value (4 13) 1 with value (4 17) 1 with value (4 21)
% 0.36/0.52 Evaluation took:
% 0.36/0.52 0.03 seconds of real time
% 0.36/0.52 0.026625 seconds of user run time
% 0.36/0.52 0.004064 seconds of system run time
% 0.36/0.52 0 calls to %EVAL
% 0.36/0.52 0 page faults and
% 0.36/0.52 1,985,280 bytes consed.
% 0.36/0.52 :PROOF-FOUND
% 0.36/0.52 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T15:23:51
% 0.36/0.52 :PROOF-FOUND
% 0.36/0.52 *
%------------------------------------------------------------------------------