TSTP Solution File: GRP565-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP565-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 11:39:27 EDT 2022
% Result : Unsatisfiable 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of clauses : 14 ( 14 unt; 0 nHn; 3 RR)
% Number of literals : 14 ( 13 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 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 : 20 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))),double_divide(identity,identity)) = Y,
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(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(identity,Z))),inverse(identity)) = Y,
inference('REWRITE',[status(thm)],[single_axiom,inverse,theory(equality)]) ).
cnf(9,plain,
double_divide(double_divide(X,double_divide(double_divide(Y,inverse(X)),inverse(identity))),inverse(identity)) = Y,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,inverse,theory(equality)]),inverse,theory(equality)]) ).
cnf(13,plain,
double_divide(inverse(X),inverse(identity)) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[9,identity,theory(equality)]),inverse,identity,theory(equality)]) ).
cnf(15,plain,
double_divide(double_divide(identity,double_divide(X,inverse(identity))),inverse(identity)) = double_divide(Y,double_divide(double_divide(X,double_divide(Y,Z)),double_divide(identity,Z))),
inference('PARAMODULATE',[status(thm)],[9,8,theory(equality)]) ).
cnf(16,plain,
double_divide(double_divide(double_divide(identity,double_divide(X,inverse(identity))),inverse(identity)),inverse(identity)) = X,
inference('REWRITE',[status(thm)],[8,15,theory(equality)]) ).
cnf(18,plain,
double_divide(double_divide(identity,X),inverse(identity)) = double_divide(identity,double_divide(X,inverse(identity))),
inference('PARAMODULATE',[status(thm)],[9,16,theory(equality)]) ).
cnf(23,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[18,identity,theory(equality)]),7,13,inverse,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP565-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n018.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 09:18:13 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.47 #<PACKAGE "SNARK-USER">
% 0.18/0.47 *
% 0.18/0.47 SNARK-TPTP-OPTIONS
% 0.18/0.47 *
% 0.18/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.47 (USE-FACTORING :POS)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.47 *
% 0.18/0.47 "."
% 0.18/0.47 *
% 0.18/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T09:18:13
% 0.18/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-14T09:18:13
% 0.18/0.48
% 0.18/0.50 ; Recognized possible right inverse assertion (= |identity| (|double_divide| ?X (|inverse| ?X))).
% 0.18/0.50
% 0.18/0.50 #||
% 0.18/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.50 % SZS output start Refutation
% See solution above
% 0.18/0.50 ||#
% 0.18/0.50
% 0.18/0.50 ; Summary of computation:
% 0.18/0.50 ; 40 formulas have been input or derived (from 10 formulas).
% 0.18/0.50 ; 23 (58%) were retained. Of these,
% 0.18/0.50 ; 10 (43%) were simplified or subsumed later,
% 0.18/0.50 ; 13 (57%) are still being kept.
% 0.18/0.50 ;
% 0.18/0.50 ; Run time in seconds excluding printing time:
% 0.18/0.50 ; 0.002 7% Read assertion file (1 call)
% 0.18/0.50 ; 0.000 0% Assert (5 calls)
% 0.18/0.50 ; 0.001 3% Process new row (38 calls)
% 0.18/0.50 ; 0.000 0% Resolution (18 calls)
% 0.18/0.50 ; 0.001 3% Paramodulation (9 calls)
% 0.18/0.50 ; 0.001 3% Forward simplification (34 calls)
% 0.18/0.50 ; 0.002 7% Backward simplification (23 calls)
% 0.18/0.50 ; 0.002 7% Ordering (87 calls)
% 0.18/0.50 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.50 ; 0.000 0% Purity testing (1 call)
% 0.18/0.50 ; 0.021 70% Other
% 0.18/0.50 ; 0.030 Total
% 0.18/0.50 ; 0.033 Real time
% 0.18/0.50 ;
% 0.18/0.50 ; Term-hash-array has 77 terms in all.
% 0.18/0.50 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.18/0.50 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.18/0.50 ; Path-index has 47 entries (55 at peak, 95 added, 48 deleted).
% 0.18/0.50 ; Path-index has 276 nodes (276 at peak, 375 added, 99 deleted).
% 0.18/0.50 ; Trie-index has 47 entries (55 at peak, 95 added, 48 deleted).
% 0.18/0.50 ; Trie-index has 236 nodes (255 at peak, 472 added, 236 deleted).
% 0.18/0.50 ; Retrieved 62 generalization terms in 136 calls.
% 0.18/0.50 ; Retrieved 29 instance terms in 23 calls.
% 0.18/0.50 ; Retrieved 63 unifiable terms in 63 calls.
% 0.18/0.50 ;
% 0.18/0.50 ; The agenda of rows to process has 2 entries:
% 0.18/0.50 ; 1 with value 18 1 with value 19
% 0.18/0.50 ; The agenda of rows to give has 6 entries:
% 0.18/0.50 ; 1 with value (4 20) 1 with value (4 22) 1 with value (4 28)
% 0.18/0.50 ; 1 with value (4 21) 2 with value (4 26)
% 0.18/0.50 Evaluation took:
% 0.18/0.50 0.033 seconds of real time
% 0.18/0.50 0.028818 seconds of user run time
% 0.18/0.50 0.003925 seconds of system run time
% 0.18/0.50 0 calls to %EVAL
% 0.18/0.50 0 page faults and
% 0.18/0.50 2,567,032 bytes consed.
% 0.18/0.50 :PROOF-FOUND
% 0.18/0.50 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T09:18:13
% 0.18/0.50 :PROOF-FOUND
% 0.18/0.50 *
%------------------------------------------------------------------------------