TSTP Solution File: NUM023-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM023-1 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 : Mon Jul 18 14:06:10 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 3
% Syntax : Number of clauses : 4 ( 3 unt; 0 nHn; 3 RR)
% Number of literals : 5 ( 0 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 4 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(adding_zero,axiom,
equalish(add(X,n0),X),
file('/export/starexec/sandbox/benchmark/Axioms/NUM001-0.ax',adding_zero) ).
cnf(smaller_number,axiom,
( ~ equalish(add(successor(X),Y),Z)
| less(Y,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM001-1.ax',smaller_number) ).
cnf(prove_zero_is_less_than_all_successors,negated_conjecture,
~ less(n0,successor(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_zero_is_less_than_all_successors) ).
cnf(37,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[smaller_number,adding_zero,prove_zero_is_less_than_all_successors]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM023-1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Wed Jul 6 03:21:48 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (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/sandbox/benchmark/theBenchmark.p 2022-07-06T03:21:48
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-07-06T03:21:48
% 0.20/0.50
% 0.20/0.50 ; Recognized commutativity assertion (OR (NOT (|equalish| ?X ?Y)) (|equalish| ?Y ?X)).
% 0.20/0.52 ; Declaring equalish to be commutative.
% 0.20/0.52
% 0.20/0.52 #||
% 0.20/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox/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 ; 223 formulas have been input or derived (from 14 formulas).
% 0.20/0.52 ; 37 (17%) were retained. Of these,
% 0.20/0.52 ; 37 (100%) are still being kept.
% 0.20/0.52 ;
% 0.20/0.52 ; Run time in seconds:
% 0.20/0.52 ; 0.004 10% Read assertion file (1 call)
% 0.20/0.52 ; 0.001 3% Assert (15 calls)
% 0.20/0.52 ; 0.002 5% Process new row (154 calls)
% 0.20/0.52 ; 0.004 10% Resolution (26 calls)
% 0.20/0.52 ; 0.001 3% Paramodulation (13 calls)
% 0.20/0.52 ; 0.001 3% Condensing (6 calls)
% 0.20/0.52 ; 0.000 0% Forward subsumption (6 calls)
% 0.20/0.52 ; 0.000 0% Backward subsumption (6 calls)
% 0.20/0.52 ; 0.002 5% Forward simplification (154 calls)
% 0.20/0.52 ; 0.001 3% Backward simplification (37 calls)
% 0.20/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.52 ; 0.000 0% Purity testing (1 call)
% 0.20/0.53 ; 0.023 59% Other
% 0.20/0.53 ; 0.039 Total
% 0.20/0.53 ; 0.040 Real time
% 0.20/0.53 ;
% 0.20/0.53 ; Term-hash-array has 78 terms in all.
% 0.20/0.53 ; Feature-vector-row-index has 6 entries (6 at peak, 6 added, 0 deleted).
% 0.20/0.53 ; Feature-vector-row-index has 21 nodes (21 at peak, 21 added, 0 deleted).
% 0.20/0.53 ; Retrieved 0 possibly forward subsuming rows in 6 calls.
% 0.20/0.53 ; Retrieved 0 possibly backward subsumed rows in 6 calls.
% 0.20/0.53 ; Path-index has 80 entries (80 at peak, 80 added, 0 deleted).
% 0.20/0.53 ; Path-index has 203 nodes (203 at peak, 203 added, 0 deleted).
% 0.20/0.53 ; Trie-index has 80 entries (80 at peak, 80 added, 0 deleted).
% 0.20/0.53 ; Trie-index has 256 nodes (256 at peak, 256 added, 0 deleted).
% 0.20/0.53 ; Retrieved 211 generalization terms in 153 calls.
% 0.20/0.53 ; Retrieved 40 instance terms in 30 calls.
% 0.20/0.53 ; Retrieved 992 unifiable terms in 231 calls.
% 0.20/0.53 ;
% 0.20/0.53 ; The agenda of rows to process has 7 entries:
% 0.20/0.53 ; 1 with value 7 1 with value 11 4 with value 13
% 0.20/0.53 ; 1 with value 10
% 0.20/0.53 ; The agenda of input rows to give has 1 entry:
% 0.20/0.53 ; 1 with value 16
% 0.20/0.53 ; The agenda of rows to give has 22 entries:
% 0.20/0.53 ; 1 with value (4 5) 5 with value (4 10) 3 with value (4 16)
% 0.20/0.53 ; 1 with value (4 8) 4 with value (4 11) 3 with value (4 17)
% 0.20/0.53 ; 3 with value (4 9) 1 with value (4 12) 1 with value (4 19)
% 0.20/0.53 Evaluation took:
% 0.20/0.53 0.04 seconds of real time
% 0.20/0.53 0.033011 seconds of user run time
% 0.20/0.53 0.006941 seconds of system run time
% 0.20/0.53 0 calls to %EVAL
% 0.20/0.53 0 page faults and
% 0.20/0.53 1,886,952 bytes consed.
% 0.20/0.53 :PROOF-FOUND
% 0.20/0.53 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T03:21:48
% 0.20/0.53 :PROOF-FOUND
% 0.20/0.53 *
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