TSTP Solution File: NUM020-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM020-1 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n007.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 14:06:09 EDT 2022
% Result : Unsatisfiable 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 4 RR)
% Number of literals : 10 ( 0 equ; 4 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(adding_zero,axiom,
equalish(add(X,n0),X),
file('/export/starexec/sandbox/benchmark/Axioms/NUM001-0.ax',adding_zero) ).
cnf(addition,axiom,
equalish(add(X,successor(Y)),successor(add(X,Y))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM001-0.ax',addition) ).
cnf(successor_substitution,axiom,
( ~ equalish(X,Y)
| equalish(successor(X),successor(Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM001-0.ax',successor_substitution) ).
cnf(transitivity,axiom,
( ~ equalish(X,Y)
| ~ equalish(Y,Z)
| equalish(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).
cnf(deny_addition_lemma,negated_conjecture,
~ equalish(add(a,successor(n0)),successor(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',deny_addition_lemma) ).
cnf(16,plain,
equalish(successor(add(X,n0)),successor(X)),
inference('HYPERRESOLVE',[status(thm)],[successor_substitution,adding_zero]) ).
cnf(29,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[transitivity,addition,deny_addition_lemma]),16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM020-1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n007.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % 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 : Thu Jul 7 21:20:44 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 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/sandbox/benchmark/theBenchmark.p 2022-07-07T21:20:45
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-07-07T21:20:45
% 0.21/0.50
% 0.21/0.50 ; Recognized commutativity assertion (OR (NOT (|equalish| ?X ?Y)) (|equalish| ?Y ?X)).
% 0.21/0.52 ; Declaring equalish to be commutative.
% 0.21/0.52
% 0.21/0.52 #||
% 0.21/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.52 % SZS output start Refutation
% See solution above
% 0.21/0.52 ||#
% 0.21/0.52
% 0.21/0.52 ; Summary of computation:
% 0.21/0.52 ; 232 formulas have been input or derived (from 11 formulas).
% 0.21/0.52 ; 29 (12%) were retained. Of these,
% 0.21/0.52 ; 29 (100%) are still being kept.
% 0.21/0.52 ;
% 0.21/0.52 ; Run time in seconds:
% 0.21/0.52 ; 0.002 6% Read assertion file (1 call)
% 0.21/0.52 ; 0.001 3% Assert (12 calls)
% 0.21/0.52 ; 0.002 6% Process new row (117 calls)
% 0.21/0.52 ; 0.004 12% Resolution (20 calls)
% 0.21/0.52 ; 0.000 0% Paramodulation (10 calls)
% 0.21/0.52 ; 0.001 3% Condensing (3 calls)
% 0.21/0.52 ; 0.000 0% Forward subsumption (3 calls)
% 0.21/0.52 ; 0.000 0% Backward subsumption (3 calls)
% 0.21/0.52 ; 0.003 9% Forward simplification (117 calls)
% 0.21/0.52 ; 0.000 0% Backward simplification (29 calls)
% 0.21/0.52 ; 0.001 3% Sortal reasoning (32 calls)
% 0.21/0.52 ; 0.000 0% Purity testing (1 call)
% 0.21/0.52 ; 0.020 59% Other
% 0.21/0.52 ; 0.034 Total
% 0.21/0.52 ; 0.035 Real time
% 0.21/0.52 ;
% 0.21/0.52 ; Term-hash-array has 58 terms in all.
% 0.21/0.52 ; Feature-vector-row-index has 3 entries (3 at peak, 3 added, 0 deleted).
% 0.21/0.52 ; Feature-vector-row-index has 8 nodes (8 at peak, 8 added, 0 deleted).
% 0.21/0.52 ; Retrieved 0 possibly forward subsuming rows in 3 calls.
% 0.21/0.52 ; Retrieved 0 possibly backward subsumed rows in 3 calls.
% 0.21/0.52 ; Path-index has 61 entries (61 at peak, 61 added, 0 deleted).
% 0.21/0.52 ; Path-index has 133 nodes (133 at peak, 133 added, 0 deleted).
% 0.21/0.52 ; Trie-index has 61 entries (61 at peak, 61 added, 0 deleted).
% 0.21/0.52 ; Trie-index has 168 nodes (168 at peak, 168 added, 0 deleted).
% 0.21/0.52 ; Retrieved 163 generalization terms in 119 calls.
% 0.21/0.52 ; Retrieved 33 instance terms in 25 calls.
% 0.21/0.52 ; Retrieved 817 unifiable terms in 216 calls.
% 0.21/0.52 ;
% 0.21/0.52 ; The agenda of rows to process has 52 entries:
% 0.21/0.52 ; 11 with value 11 1 with value 14 20 with value 16
% 0.21/0.52 ; 20 with value 13
% 0.21/0.52 ; The agenda of input rows to give has 1 entry:
% 0.21/0.52 ; 1 with value 13
% 0.21/0.52 ; The agenda of rows to give has 17 entries:
% 0.21/0.52 ; 1 with value (4 5) 7 with value (4 10) 1 with value (4 14)
% 0.21/0.52 ; 3 with value (4 9) 4 with value (4 11) 1 with value (4 16)
% 0.21/0.52 Evaluation took:
% 0.21/0.52 0.036 seconds of real time
% 0.21/0.52 0.029298 seconds of user run time
% 0.21/0.52 0.006088 seconds of system run time
% 0.21/0.52 0 calls to %EVAL
% 0.21/0.52 0 page faults and
% 0.21/0.52 1,993,768 bytes consed.
% 0.21/0.52 :PROOF-FOUND
% 0.21/0.52 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T21:20:45
% 0.21/0.52 :PROOF-FOUND
% 0.21/0.52 *
%------------------------------------------------------------------------------