TSTP Solution File: GRP490-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP490-1 : 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 11:39:07 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of clauses : 15 ( 15 unt; 0 nHn; 5 RR)
% Number of literals : 15 ( 14 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 : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
double_divide(double_divide(identity,X),double_divide(identity,double_divide(double_divide(double_divide(X,Y),identity),double_divide(Z,Y)))) = Z,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(multiply,axiom,
multiply(X,Y) = double_divide(double_divide(Y,X),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
cnf(inverse,axiom,
inverse(X) = double_divide(X,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
cnf(identity,axiom,
identity = double_divide(X,inverse(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
cnf(prove_these_axioms_1,negated_conjecture,
multiply(inverse(a1),a1) != identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).
cnf(6,plain,
multiply(X,Y) = inverse(double_divide(Y,X)),
inference('REWRITE',[status(thm)],[multiply,inverse,theory(equality)]) ).
cnf(7,plain,
inverse(identity) != identity,
inference('REWRITE',[status(thm)],[prove_these_axioms_1,identity,6,theory(equality)]) ).
cnf(8,plain,
double_divide(double_divide(identity,X),double_divide(identity,double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y)))) = Z,
inference('REWRITE',[status(thm)],[single_axiom,inverse,theory(equality)]) ).
cnf(10,plain,
double_divide(double_divide(identity,X),double_divide(identity,double_divide(inverse(inverse(X)),inverse(Y)))) = Y,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,inverse,theory(equality)]),inverse,theory(equality)]) ).
cnf(16,plain,
double_divide(double_divide(identity,X),inverse(identity)) = inverse(inverse(X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[10,identity,theory(equality)]),inverse,theory(equality)]) ).
cnf(18,plain,
double_divide(identity,double_divide(identity,double_divide(inverse(inverse(inverse(identity))),inverse(X)))) = X,
inference('PARAMODULATE',[status(thm)],[10,identity,theory(equality)]) ).
cnf(22,plain,
identity = inverse(inverse(inverse(identity))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[16,identity,theory(equality)]),identity,theory(equality)]) ).
cnf(23,plain,
double_divide(identity,double_divide(identity,double_divide(identity,inverse(X)))) = X,
inference('REWRITE',[status(thm)],[18,22,theory(equality)]) ).
cnf(29,plain,
inverse(identity) = inverse(inverse(identity)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[23,22,theory(equality)]),identity,inverse,theory(equality)]) ).
cnf(32,plain,
$false,
inference('REWRITE',[status(thm)],[22,7,29,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GRP490-1 : TPTP v8.1.0. Released v2.6.0.
% 0.08/0.13 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue Jun 14 11:20:52 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.49 SNARK-TPTP-OPTIONS
% 0.20/0.49 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T11:20:52
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-06-14T11:20:52
% 0.20/0.50
% 0.20/0.52 ; Recognized possible right inverse assertion (= |identity| (|double_divide| ?X (|inverse| ?X))).
% 0.20/0.52
% 0.20/0.52 #||
% 0.20/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.52 % SZS output start Refutation
% See solution above
% 0.20/0.52 ||#
% 0.20/0.52
% 0.20/0.52 ; Summary of computation:
% 0.20/0.52 ; 53 formulas have been input or derived (from 11 formulas).
% 0.20/0.52 ; 32 (60%) were retained. Of these,
% 0.20/0.52 ; 9 (28%) were simplified or subsumed later,
% 0.20/0.52 ; 23 (72%) are still being kept.
% 0.20/0.52 ;
% 0.20/0.52 ; Run time in seconds excluding printing time:
% 0.20/0.52 ; 0.001 3% Read assertion file (1 call)
% 0.20/0.52 ; 0.001 3% Assert (5 calls)
% 0.20/0.52 ; 0.006 18% Process new row (46 calls)
% 0.20/0.52 ; 0.000 0% Resolution (20 calls)
% 0.20/0.52 ; 0.001 3% Paramodulation (10 calls)
% 0.20/0.52 ; 0.002 6% Forward simplification (46 calls)
% 0.20/0.52 ; 0.000 0% Backward simplification (32 calls)
% 0.20/0.52 ; 0.000 0% Ordering (107 calls)
% 0.20/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.52 ; 0.000 0% Purity testing (1 call)
% 0.20/0.52 ; 0.023 68% Other
% 0.20/0.52 ; 0.034 Total
% 0.20/0.52 ; 0.036 Real time
% 0.20/0.52 ;
% 0.20/0.52 ; Term-hash-array has 142 terms in all.
% 0.20/0.52 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.20/0.52 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.20/0.52 ; Path-index has 117 entries (127 at peak, 153 added, 36 deleted).
% 0.20/0.52 ; Path-index has 443 nodes (455 at peak, 500 added, 57 deleted).
% 0.20/0.52 ; Trie-index has 117 entries (127 at peak, 153 added, 36 deleted).
% 0.20/0.52 ; Trie-index has 510 nodes (555 at peak, 662 added, 152 deleted).
% 0.20/0.52 ; Retrieved 47 generalization terms in 220 calls.
% 0.20/0.52 ; Retrieved 34 instance terms in 31 calls.
% 0.20/0.52 ; Retrieved 86 unifiable terms in 69 calls.
% 0.20/0.52 ;
% 0.20/0.52 ; The agenda of backward simplifiable rows to process has 2 entries:
% 0.20/0.52 ; 2 with value 0
% 0.20/0.52 ; The agenda of rows to process has 5 entries:
% 0.20/0.52 ; 1 with value 22 1 with value 30 2 with value 31
% 0.20/0.52 ; 1 with value 29
% 0.20/0.52 ; The agenda of rows to give has 14 entries:
% 0.20/0.52 ; 1 with value (4 13) 4 with value (4 22) 1 with value (4 34)
% 0.20/0.52 ; 1 with value (4 14) 1 with value (4 23) 2 with value (4 35)
% 0.20/0.52 ; 1 with value (4 19) 2 with value (4 29) 1 with value (4 36)
% 0.20/0.52 Evaluation took:
% 0.20/0.52 0.037 seconds of real time
% 0.20/0.52 0.029762 seconds of user run time
% 0.20/0.52 0.007027 seconds of system run time
% 0.20/0.52 0 calls to %EVAL
% 0.20/0.52 0 page faults and
% 0.20/0.52 2,710,200 bytes consed.
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T11:20:52
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 *
%------------------------------------------------------------------------------